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[ { "content": "In filling a fish tank with water that is 50 m * 10 m * 1 m the volumes of water filled will be?\n\n['A)500 cu.m', 'B)5000 cu.m', 'C)50000 cu.m', 'D)3000 cu.m', 'E)4000 cu.m']", "role": "user", "uuid": "e458447d-75c1-4d91-90a7-428493a5b4ea" }, { "content": "50 * 10 * 1 = 500\nANSWER:A", "role": "assistant", "uuid": "88cf2ee3-5a75-4adb-b76f-5e13a34d42a3" } ]

{ "coherence": 3.09, "complexity": 0.74, "correctness": 3.09, "helpfulness": 3.31, "instruction-following": 3.35, "safety": 4.29, "verbosity": 1.08, "verbosity-coeff": -0.0862 }

[ { "content": "Cars M and N are approaching each other on the same highway. Car M is moving at 55 mph northbound and Car N is moving at 65 mph southbound. At 2:00 pm, they are approaching each other and 195 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 45 miles apart?\n\n['A) 4:00 pm', 'B) 4:07 pm', 'C) 4:54 pm', 'D) 5:21 pm', 'E) 6:00 pm']", "role": "user", "uuid": "14a37bc2-f5c2-4679-b4d2-4eb121855df7" }, { "content": "Total distance, which should be covered by both cars is 195+45=240 miles.\nLet t be the time so the equation will be 55t+65t=240 thus,\nt=2 hours\nAnswer: A", "role": "assistant", "uuid": "f7e9a5a9-7e44-486e-ade1-51db9bf2203c" } ]

{ "coherence": 2.68, "complexity": 1.39, "correctness": 2.08, "helpfulness": 2.12, "instruction-following": 1.98, "safety": 4.85, "verbosity": 0.87, "verbosity-coeff": -0.1244 }

[ { "content": "A man can swim in still water at 7.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?\n\n['A)1.7', 'B)1.4', 'C)2.5', 'D)1.5', 'E)1.1']", "role": "user", "uuid": "0ea747f7-6855-4da3-8200-a6f0810dcaae" }, { "content": "M = 7.5\nS = x\nDS = 7.5 + x\nUS = 7.5 + x\n7.5 + x = (7.5 - x)2\n7.5 + x = 15 -2x\n3x = 7.5\nx = 2.5\nAnswer: C", "role": "assistant", "uuid": "73829149-6135-40dc-a6ee-f07d75aa517c" } ]

{ "coherence": 2.57, "complexity": 1.04, "correctness": 1.79, "helpfulness": 1.88, "instruction-following": 2.45, "safety": 3.82, "verbosity": 0.18, "verbosity-coeff": -0.1162 }

[ { "content": "If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.\n\n['A)1:1', 'B)2:1', 'C)3:1', 'D)5:1', 'E)4:1']", "role": "user", "uuid": "284691c7-53d9-41b0-9d5a-3d7b7e6c15c1" }, { "content": "B\n2:1\n12M + 16B ----- 5 days\n13M + 24B ------- 4 days\n60M + 80B = 52M + 96B\n8M = 16B => 1M = 2B\nM: B = 2:1", "role": "assistant", "uuid": "2316d618-8a3a-40b6-b8f6-c3710a2d6ca2" } ]

{ "coherence": 3.33, "complexity": 1.74, "correctness": 2.92, "helpfulness": 3.02, "instruction-following": 3.29, "safety": 3.84, "verbosity": 0.96, "verbosity-coeff": -0.1317 }

[ { "content": "If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is :\n\n['A)2 :3', 'B)3 :4', 'C)3:20', 'D)20:3', 'E)22:1']", "role": "user", "uuid": "75e7b6e2-5cb8-49fe-8ec8-8cb3486825e0" }, { "content": "Expl : 0.4A = 0.06B -> A/B = 0.06/0.40 = 6/40 = 3/20\n:. A : B = 3 : 20\nAnswer: C", "role": "assistant", "uuid": "7bce7e60-d537-4974-b280-97fd7fc3654f" } ]

{ "coherence": 2.62, "complexity": 1.73, "correctness": 2.27, "helpfulness": 2.35, "instruction-following": 3.58, "safety": 5.36, "verbosity": 0.84, "verbosity-coeff": -0.1627 }

[ { "content": "There are 15 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/3. How many blue balls were there in the beginning?\n\n['A)12.', 'B)9.', 'C)8.', 'D)7.', 'E)6.']", "role": "user", "uuid": "60f1ff1c-7bad-4378-a8b5-91d1983db9cf" }, { "content": "7 = 3 blue balls + 12 / 3\nAnswer:D", "role": "assistant", "uuid": "b287f803-022b-4596-86b1-e96a4ecb5b80" } ]

{ "coherence": 2.86, "complexity": 0.73, "correctness": 1.85, "helpfulness": 2.04, "instruction-following": 2.18, "safety": 5.75, "verbosity": 0.22, "verbosity-coeff": -0.1228 }

[ { "content": "The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?\n\n['A)75 kg', 'B)85 kg', 'C)95 kg', 'D)65 kg', 'E)None of these']", "role": "user", "uuid": "16a36e9b-019a-405c-9553-b029ec838efe" }, { "content": "Explanation:\nTotal weight increased = (8 x 2.5) kg = 20 kg.\nWeight of new person = (65 + 20) kg = 85 kg.\nAnswer B", "role": "assistant", "uuid": "d07e0266-ab8d-4159-987a-869e4c7750ee" } ]

{ "coherence": 3.04, "complexity": 1.67, "correctness": 2.43, "helpfulness": 2.72, "instruction-following": 3.05, "safety": 5.83, "verbosity": 1.03, "verbosity-coeff": -0.1109 }

[ { "content": "A can do a piece of work in 5 days and B can do it in 4 days how long will they both work together to complete the work?\n\n['A)6/11', 'B)8/9', 'C)7/9', 'D)2/9', 'E)10/11']", "role": "user", "uuid": "540b3b70-2445-4d92-a8de-ce8823f3d566" }, { "content": "Explanation:\nA’s one day work = 1/5\nB’s one day work = 1/4\n(A+B)’s one day work = 1/5 + 1/4 = 9/20 => time = 20/9 = 2 2/9 days\nAnswer: Option D", "role": "assistant", "uuid": "52abcd34-3bbc-4a79-8e6f-b723fa7c0153" } ]

{ "coherence": 2.31, "complexity": 1.28, "correctness": 1.86, "helpfulness": 2.2, "instruction-following": 2.59, "safety": 6.06, "verbosity": 0.85, "verbosity-coeff": -0.1184 }

[ { "content": "By how much does the larger root of the equation 2b^2+5b = 12 exceed the smaller root?\n\n['A) 5/2', 'B) 10/3', 'C) 7/2', 'D) 14/3', 'E) 11/2']", "role": "user", "uuid": "8901b7b0-2699-4e1c-ae9f-1e4f5923c549" }, { "content": "For 2b^2+5b = 12 Roots are [-5 + sqrt(25 + 96)]/4 OR [-5 - sqrt(25 + 96)]/4\n= 1.5 OR -4\nHence larger root 1.5 is 1.5 - (-4) = 5.5 = 11/2 greater than smaller root (-4).\nHence option (E).", "role": "assistant", "uuid": "fa6b49ba-96fe-4b8a-a8ee-07c37acd0f5b" } ]

{ "coherence": 3.02, "complexity": 1.3, "correctness": 1.96, "helpfulness": 2.12, "instruction-following": 2.49, "safety": 5.2, "verbosity": 0.72, "verbosity-coeff": -0.2131 }

[ { "content": "The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each. The radius of the sphere is\n\n['A)3 cm', 'B)5 cm', 'C)6 cm', 'D)8 cm', 'E)None']", "role": "user", "uuid": "40869300-7f0d-4cce-bb11-47a578c6ddff" }, { "content": "Solution\n4ΠR2\t= 2Π5x10\n⇒ R2 = (5x10/2)\n⇒ 25\n⇒ R = 5 cm.\nAnswer B", "role": "assistant", "uuid": "7a92ea57-b1e5-41e0-bba2-a38575d8b837" } ]

{ "coherence": 2.8, "complexity": 1.41, "correctness": 2.49, "helpfulness": 2.76, "instruction-following": 3.15, "safety": 5.24, "verbosity": 1.22, "verbosity-coeff": -0.1179 }

[ { "content": "50% of the population of a village is 23040. The total population of the village is ?\n\n['A)32256', 'B)24000', 'C)44936', 'D)46080', 'E)None']", "role": "user", "uuid": "9e481cd6-3a81-473b-ad52-ab5b6c810616" }, { "content": "Answer\n∵ 50% of P = 23040\n∴ P = (23040 x 100) / 50 = 46080\nCorrect Option: D", "role": "assistant", "uuid": "92bcfe5b-2e9e-4a84-9c4e-4f7536ccb72c" } ]

{ "coherence": 2.84, "complexity": 1.54, "correctness": 2.16, "helpfulness": 2.41, "instruction-following": 3.78, "safety": 5.2, "verbosity": 0.55, "verbosity-coeff": -0.1138 }

[ { "content": "In an examination 40% failed in Hindi, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is?\n\n['A)59%', 'B)50%', 'C)90%', 'D)60%', 'E)20%']", "role": "user", "uuid": "309449f1-46e5-466f-b8c8-64476ea68cb3" }, { "content": "Male = 45,000* 5/9 = 25,000\nFemale = 45,000* 4/9 = 20,000\nMarried Male = 25,000* 40/100 = 10,000\nMarried Female = 10,000\n20,000 ------------ 10,000\n100 ------------- ? => 50%\nAnswer: B", "role": "assistant", "uuid": "418c9be5-3e7c-4210-9098-2b2d9e8279fe" } ]

{ "coherence": 2.16, "complexity": 1.31, "correctness": 1.38, "helpfulness": 1.34, "instruction-following": 1.37, "safety": 6.57, "verbosity": 0.86, "verbosity-coeff": -0.1225 }

[ { "content": "In the following questions, the following letters indicate mathematical operations as indicated below:\nA: Addition; V: Equal to; S: Subtraction; W:Greater than; M: Multiplication; X: Less than; D: Division\nFind Out of the four alternatives given in these questions, only one is correct according to the above letter symbols. Identify the correct one.\n\n['A)6 S 7 A 2 M 3 W 0 D 7', 'B)6 A 7 S 2 M 3 W 0 A 7', 'C)6 S 7 M 2 S 3 W 0 M 7', 'D)6 M 7 S 2 A 3 X 0 D', 'E)6 M 7 S 2 A 4 X 0 D']", "role": "user", "uuid": "f7677953-326b-454c-9169-85050166b294" }, { "content": "Explanation:By BODMAS rule\n6 – 7 + 3 × 2 > 0/7\nAnswer: A", "role": "assistant", "uuid": "b7bb8da4-45ee-42d5-881c-09568e85291f" } ]

{ "coherence": 2.29, "complexity": 1.17, "correctness": 2.08, "helpfulness": 2.2, "instruction-following": 2.43, "safety": 4.66, "verbosity": 0.86, "verbosity-coeff": -0.106 }

[ { "content": "If a is positive and a4-62a2+1 = 0, find the value of a3+(1/a3)\n\n['A)424', 'B)648', 'C)392', 'D)488', 'E)None']", "role": "user", "uuid": "d568516f-3a9c-4034-8174-23a8893ea57c" }, { "content": "Explanation :\nGiven a4-62a2+1 = 0\nDividing by a2\na2-62+(1/a2) = 0 => a2+(1/a2) = 62\n=> a2+(1/a2)+2 = 64 => (a+(1/a))2 = 64\nHence a+(1/a) = 8 or -8\nSince a>0 so a+(1/a) = 8\nNow (a+(1/a))3 = a3+(1/a3)+3(a+(1/a))\n=> 512 = a3+(1/a3)+24\n=> a3+(1/a3) = 488\nAnswer : D", "role": "assistant", "uuid": "48bc0d28-a9ac-43b7-bea5-b3f61a5370ad" } ]

{ "coherence": 3.05, "complexity": 2.92, "correctness": 2.9, "helpfulness": 2.82, "instruction-following": 3.99, "safety": 4.81, "verbosity": 1.62, "verbosity-coeff": -0.1302 }

[ { "content": "Find the fourth proportional to 4, 9, 12\n\n['A)17', 'B)37', 'C)47', 'D)67', 'E)27']", "role": "user", "uuid": "4e225a9b-a13a-4872-86b0-ca1dae621b7a" }, { "content": "Let the fourth proportional to 4, 9, 12 be x.\nThen, 4 : 9 : : 12 : x\n=4 x x=9x12\n=X=(9 x 12)/14=27;\nFourth proportional to 4, 9, 12 is 27.\nAnswer is E", "role": "assistant", "uuid": "1d2d9fe8-db53-4e36-b34d-5c55a96aa1ed" } ]

{ "coherence": 3.17, "complexity": 1.9, "correctness": 2.45, "helpfulness": 2.62, "instruction-following": 3.21, "safety": 4.36, "verbosity": 1.21, "verbosity-coeff": -0.1599 }

[ { "content": "A rectangular garden is to be twice as long as it is wide. If 150 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?\n\n['A)40', 'B)50', 'C)60', 'D)70', 'E)80']", "role": "user", "uuid": "26292908-b62f-4dd0-985e-b1ab92f9dcff" }, { "content": "ALTERNATE APPROACH\nBacksolving ( Using answer options to reach the correct answer ) can work wonders here if one is fast in calculations.\nGiven Perimeter is 150\nSo, 2 ( L + B ) = 150\nOr, L + B = 75\nNow use the answer options ( Given Length ; Breath will be half the length)\n(A) 40\nL = 40 ; B = 20\nL + b = 60\n(B) 50\nL = 50 ; B = 25\nL + b = 75\n(C) 60\nL = 60; B = 30\nL + b = 90\n(D) 70\nL = 70; B = 35\nL + b = 105\n(E) 80\nL = 80; B = 40\nL + b = 120\nThus you see no, need of any calculations, U can reach the correct option only by checking options ; correct answer will be (B)", "role": "assistant", "uuid": "ec4fc120-bb65-4997-8524-ba3ee228558e" } ]

{ "coherence": 2.76, "complexity": 1.3, "correctness": 2.08, "helpfulness": 2.02, "instruction-following": 2.37, "safety": 5.05, "verbosity": 0.98, "verbosity-coeff": -0.2227 }

[ { "content": "The average age of 3 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is\n\n['A)22', 'B)30', 'C)25', 'D)38', 'E)27']", "role": "user", "uuid": "b198537b-5f5a-48d1-bb34-7682c15700a1" }, { "content": "total age increased = (3 * 2) years = 6 years.\nSum of ages of two new men = (21 + 23 + 6) years = 50 years\nAverage age of two new men = (50/2) years = 25 years.\nAnswer: C", "role": "assistant", "uuid": "df958dcb-869a-4f1f-9cf4-f2c708c3ac6d" } ]

{ "coherence": 2.8, "complexity": 1.44, "correctness": 2.41, "helpfulness": 2.72, "instruction-following": 3.5, "safety": 4.77, "verbosity": 1.03, "verbosity-coeff": -0.1378 }

[ { "content": "An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 5 : 9. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares?\n\n['A)s 1800', 'B)s 1500', 'C)s 1600', 'D)s 1900', 'E)s 1700']", "role": "user", "uuid": "b811068e-b843-4920-ab9a-e8307bba0d2b" }, { "content": "Explanation :\nLet P = Faruk, Q = Vasim, R = Ranjith\nLet P = 3x, Q = 5x and R = 9x.\nThen, 5x = 1500 ? x = 300. P=900,Q=1500 and R = 2700.\nHence, (R - p) = (2700 - 900) = 1800\nAnswer : A", "role": "assistant", "uuid": "03977e80-03b9-4dfe-9d1d-96c04622d822" } ]

{ "coherence": 2.76, "complexity": 1.25, "correctness": 2.53, "helpfulness": 2.94, "instruction-following": 3.84, "safety": 4.66, "verbosity": 1.2, "verbosity-coeff": -0.1167 }

[ { "content": "If p and q are positive integers, how many integers are larger than pq and smaller than p(q + 6)?\n\n['A)3', 'B)P + 2', 'C)6p – 1', 'D)2p – 1', 'E)2p + 1']", "role": "user", "uuid": "a4cd7de7-e1d4-4391-8077-7121372c5188" }, { "content": "The number of integers between x and y, where x>y is (x-y)-1. For example, the number of integers between 1 and 5 is (5-1)-1=3: 2, 3, and 4.\nThus, the number of integers between pq and p(q+6)=pq+6p is (pq+6p-pq)-1=6p-1.\nAnswer: C.", "role": "assistant", "uuid": "6fd2731c-cb6f-40da-b239-e628de615470" } ]

{ "coherence": 2.78, "complexity": 1.88, "correctness": 2.21, "helpfulness": 2.31, "instruction-following": 2.7, "safety": 4.62, "verbosity": 1.01, "verbosity-coeff": -0.1541 }

[ { "content": "P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?\n\n['A)16', 'B)77', 'C)88', 'D)55', 'E)778']", "role": "user", "uuid": "9b1aea07-bcac-4bac-9e14-88b88e7c9809" }, { "content": "P = 3Q\nP + Q = 3Q + Q = 4Q\nThese 4Q people can do the work in 12 days, which means Q can do the work in 48 days.\nHence, P can do the work in 16 days.\nAnswer:A", "role": "assistant", "uuid": "2d9a49f1-ef26-4aee-a445-2bb089b5b253" } ]

{ "coherence": 3.33, "complexity": 1.17, "correctness": 2.76, "helpfulness": 2.84, "instruction-following": 3.27, "safety": 5.87, "verbosity": 0.81, "verbosity-coeff": -0.1378 }

[ { "content": "A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?\n\n['A)Rs.43', 'B)Rs.23', 'C)Rs.44', 'D)Rs.20', 'E)Rs.41']", "role": "user", "uuid": "7a2b56dc-aea7-42ed-8d15-cc79a629b530" }, { "content": "π (152 - 132) = 176\n176 * 1/4 = Rs.44\nAnswer: C", "role": "assistant", "uuid": "0d0f6759-3e97-45bf-b2b1-1effcd17e0e6" } ]

{ "coherence": 2.53, "complexity": 0.93, "correctness": 1.98, "helpfulness": 2.21, "instruction-following": 3.09, "safety": 5.28, "verbosity": 0.42, "verbosity-coeff": -0.1172 }

[ { "content": "Which of the following values is the greatest?\n\n['A)11% of 89', 'B)22% of 78', 'C)33% of 67', 'D)44% of 56', 'E)55% of 45']", "role": "user", "uuid": "3bb627d5-f381-4401-9430-a0942b0f3ff5" }, { "content": "Now, 89 < 78*2 < 67*3 < 56*4 < 45*5;as we can see option E, has the highest value for 11% , hence the answer must be E.\nANSWER:E", "role": "assistant", "uuid": "f8d2cb31-6963-47c0-9de4-3a30ba184309" } ]

{ "coherence": 2.66, "complexity": 1.12, "correctness": 2.29, "helpfulness": 2.16, "instruction-following": 2.2, "safety": 4.11, "verbosity": 0.65, "verbosity-coeff": -0.1993 }

[ { "content": "What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?\n\n['A)3944', 'B)2882', 'C)2999', 'D)2667', 'E)2121']", "role": "user", "uuid": "7b032093-019a-45b2-a386-ef73d99fe3f3" }, { "content": "Let the side of the square plot be a ft.\na2 = 289 => a = 17\nLength of the fence = Perimeter of the plot = 4a = 68 ft.\nCost of building the fence = 68 * 58 = Rs. 3944.\nAnswer: A", "role": "assistant", "uuid": "0a425fd6-0fc4-4749-9fe5-23403736c3cc" } ]

{ "coherence": 3.54, "complexity": 1.79, "correctness": 3.11, "helpfulness": 3.41, "instruction-following": 4.36, "safety": 4.89, "verbosity": 1.49, "verbosity-coeff": -0.1204 }

[ { "content": "Two trains of length 100 m and 200 m are 200 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?\n\n['A)21/9 sec', 'B)32/3 sec', 'C)20/7 sec', 'D)32/3 sec', 'E)40/7 sec']", "role": "user", "uuid": "50295b36-50b9-457e-abf6-5f546db70599" }, { "content": "They are moving in opposite directions, relative speed is equal to the sum of their speeds.\nRelative speed = (54 + 72)*5/18 = 7*5 = 35 mps.\nThe time required = d/s = 200/35 = 40/7 sec.\nAnswer:E", "role": "assistant", "uuid": "5064cb09-f12f-4dab-816c-5b2d216c18be" } ]

{ "coherence": 2.61, "complexity": 1.85, "correctness": 2.04, "helpfulness": 2.2, "instruction-following": 3.29, "safety": 5.63, "verbosity": 1.43, "verbosity-coeff": -0.1114 }

[ { "content": "A train sets off at 2 p.m. at the speed of 50 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 65 kmph. At what time the trains will meet?\n\n['A)8.37 p.m', 'B)8.20 p.m', 'C)8.30 p.m', 'D)8.38 p.m', 'E)8.10 p.m']", "role": "user", "uuid": "7c535265-45db-4a6c-9636-df00b5772d75" }, { "content": "D = 50 * 1 ½ = 75 km\nRS = 65 – 50 = 15\nT = 75/15 = 5 h\n3.30 + 7 h = 8.30 p.m.\nAnswer: C", "role": "assistant", "uuid": "a241bb6f-b707-4c89-b922-4c178f8f01d6" } ]

{ "coherence": 2.06, "complexity": 1.58, "correctness": 1.52, "helpfulness": 1.79, "instruction-following": 2.59, "safety": 5.44, "verbosity": 0.67, "verbosity-coeff": -0.1127 }

[ { "content": "Brand A coffee costs twice as much as brand B coffee. If a certain blend is 3/4 brand A and 1/4 brand B. what fraction of the cost of the blend is Brand A?\n\n['A)a. 1/3', 'B)b. 2/5', 'C)3. 1/2', 'D)4. 2/3', 'E)5. 6/7']", "role": "user", "uuid": "df758782-a0f3-45a2-a2a2-8606ccdde92e" }, { "content": "Assume Cost of A= Ca = 200 , Cost of B = Cb=100\nThe blend contains 0.75 A and 0.25 B ---> Cost of the blend = Cbl = 0.75*200+0.25*100= 175\nThus fraction of A in the blend = 0.75*200/175 = 6/7.\nAnswer : E", "role": "assistant", "uuid": "b28c92c0-50b9-42e4-9510-25e456dd90f9" } ]

{ "coherence": 2.96, "complexity": 1.88, "correctness": 2.47, "helpfulness": 2.45, "instruction-following": 2.92, "safety": 5.95, "verbosity": 1, "verbosity-coeff": -0.1939 }

[ { "content": "Find the sum of first 35 natural numbers\n\n['A)470', 'B)468', 'C)630', 'D)463', 'E)520']", "role": "user", "uuid": "abce0509-5990-46aa-bbe4-4358fb3ce48e" }, { "content": "Explanation:\nSum of n natural numbers\n=n(n+1)/2\n=35(35+1)/2=35(36)/2=630\nAnswer: Option C", "role": "assistant", "uuid": "f52f42ab-3e34-48fe-a673-97bf57179244" } ]

{ "coherence": 2.86, "complexity": 2, "correctness": 2.72, "helpfulness": 3.04, "instruction-following": 3.46, "safety": 4.77, "verbosity": 1.62, "verbosity-coeff": -0.0932 }

[ { "content": "If 36 men can do a piece of work in 25 hours, in how many hours will 15 men\ndo it ?\n\n['A)60 hours', 'B)50hours', 'C)65 hours', 'D)45 hours', 'E)30 hours']", "role": "user", "uuid": "4cb5a926-4b60-476a-b550-3409b0236b69" }, { "content": "Let the required number of hours be x. Then,\nLess men, More hours\t(Indirect Proportion)\n15 : 36 : : 25 : x<=>(15 x x) =(36 x 25)<=>(36 x 25)/15 = 60\nHence, 15 men can do it in 60 hours\nAnswer is A.", "role": "assistant", "uuid": "6f484e36-9dc9-408d-8988-c646ecc205ce" } ]

{ "coherence": 3.07, "complexity": 1.63, "correctness": 2.62, "helpfulness": 2.55, "instruction-following": 3.54, "safety": 4.62, "verbosity": 1.32, "verbosity-coeff": -0.1243 }

[ { "content": "Find the number of ways of arranging the host and 5 guests at a circular table so that the boy always sits in a particular seat?\n\n['A)5!', 'B)8!', 'C)11!', 'D)12!', 'E)14!']", "role": "user", "uuid": "c2cab178-f6dd-46cf-a3bd-2f5ad1d8bab0" }, { "content": "Ans.(A)\nSol. Total number of persons = 6 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 5 places => 5! Ways ... The number of required arrangements = 5! x 1= 5! = 5! ways", "role": "assistant", "uuid": "59771365-116b-4c85-8611-ae2f4130ea4f" } ]

{ "coherence": 3.09, "complexity": 1.94, "correctness": 3.07, "helpfulness": 3.13, "instruction-following": 3.31, "safety": 4.38, "verbosity": 1.68, "verbosity-coeff": -0.1619 }

[ { "content": "There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?\n\n['A)2/21', 'B)3/31', 'C)4/17', 'D)3/19', 'E)8/21']", "role": "user", "uuid": "103e791d-6d09-4905-a0b4-4a941c615026" }, { "content": "Total number of balls = (8 + 7 + 6) = 21\nLet E = event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.\nTherefore, n(E) = 8.\nP(E) = 8/21.", "role": "assistant", "uuid": "425fcb9b-1493-482a-a791-a67ecd9a0669" } ]

{ "coherence": 3.33, "complexity": 0.93, "correctness": 2.7, "helpfulness": 2.84, "instruction-following": 3.5, "safety": 5.12, "verbosity": 0.78, "verbosity-coeff": -0.1088 }

[ { "content": "A certain sum of money amounts to Rs. 1008 in 2 years and to Rs.1164 in 3 ½ years. Find the sum and rate of interests.\n\n['A)13%', 'B)12%', 'C)25%', 'D)18%', 'E)52%']", "role": "user", "uuid": "125a2756-c590-4a52-9c97-583b4bae0ce6" }, { "content": "S.I. for 1 ½ years = Rs.(1164-1008) = Rs.156.\nS.l. for 2 years = Rs.(156*(2/3)*2)=Rs.208\nPrincipal = Rs. (1008 - 208) = Rs. 800.\nNow, P = 800, T = 2 and S.l. = 208.\nRate =(100* 208)/(800*2)% = 13%\nAnswer is A.", "role": "assistant", "uuid": "cd253be3-1594-4c12-818c-f5b1b36c66a2" } ]

{ "coherence": 2.98, "complexity": 1.84, "correctness": 2.49, "helpfulness": 2.55, "instruction-following": 3.7, "safety": 4.97, "verbosity": 1.12, "verbosity-coeff": -0.1231 }

[ { "content": "The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?\n\n['A)Rs.4589', 'B)Rs.4528', 'C)Rs.4528', 'D)Rs.4530', 'E)Rs.4537']", "role": "user", "uuid": "5fb34842-113c-47a4-b25e-097202db3462" }, { "content": "Area of the four walls = 2h(l + b)\nSince there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.\nTotal cost = 906 * 5 = Rs.4530\nAnswer:D", "role": "assistant", "uuid": "26355a59-2eec-4ae9-bc05-68dca96d77b8" } ]

{ "coherence": 3.11, "complexity": 0.87, "correctness": 2.37, "helpfulness": 2.7, "instruction-following": 3.89, "safety": 4.73, "verbosity": 0.79, "verbosity-coeff": -0.1172 }

[ { "content": "A statue is being carved by a sculptor. The original piece of marble weighed 140 kg. In the first week 60 percent is cut away. In the second week 40 percent of the remainder is cut away. In the third week the statue is completed when 30 percent of the remainder is cut away. What is the weight of the final statue?\n\n['A)24 kg', 'B)23 kg', 'C)28 kg', 'D)25 kg', 'E)27 kg']", "role": "user", "uuid": "8976f447-c6e2-4362-b9dc-abfe441df556" }, { "content": "A\n24 kg\n140 × 0.4 × 0.6 × 0.7 = 24 kg.", "role": "assistant", "uuid": "385e997e-336f-45fe-9114-a0c9cdbd752f" } ]

{ "coherence": 3.04, "complexity": 1.08, "correctness": 2.23, "helpfulness": 2.21, "instruction-following": 2.88, "safety": 5.44, "verbosity": 0.73, "verbosity-coeff": -0.1327 }

[ { "content": "K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ?\n\n['A)12 pm', 'B)22 pm', 'C)72 pm', 'D)92 pm', 'E)23 pm']", "role": "user", "uuid": "05bc5c8a-6a76-4b68-b8bd-9fe3c5d3af80" }, { "content": "Explanation:\nlet 't' be the time after which they met since L starts.\nGiven K is 50% faster than L\n50 t + 1.5*50(t-1) = 300\n50 t +75 t = 300 + 75\nt = 375 / 125 = 3 hrs past the time that L starts\nSo they meet at (9 + 3)hrs = 12:00 noon.\nAnswer: A", "role": "assistant", "uuid": "5952b6b4-14b1-49c3-9096-390c04cc764b" } ]

{ "coherence": 3.02, "complexity": 1.8, "correctness": 2.55, "helpfulness": 2.72, "instruction-following": 3.19, "safety": 5.09, "verbosity": 1.27, "verbosity-coeff": -0.1261 }

[ { "content": "A lady has fine gloves and hats in her closet- 25 blue, 7 red, and 9 yellow. The lights are\nout and it is totally dark. In spite of the darkness, she can make out the difference between\na hat and a glove. She takes out an item out of the closet only if she is sure that if it is a\nglove. How many gloves must she take out to make sure she has a pair of each color?\n\n['A)36', 'B)37', 'C)38', 'D)39', 'E)40']", "role": "user", "uuid": "c22577b5-b0eb-4c83-b5bd-295663e8cfd6" }, { "content": "since it is not given hw many hats so he has hance to take any so 25+7+depends on given answer if 36 is answer round off to 25+7+4=36\nANSWER:A", "role": "assistant", "uuid": "3d5a5f34-641a-4939-98ee-8057e7f5056e" } ]

{ "coherence": 2.37, "complexity": 1.03, "correctness": 1.67, "helpfulness": 1.71, "instruction-following": 1.87, "safety": 4.89, "verbosity": 1.05, "verbosity-coeff": -0.1346 }

[ { "content": "The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?\n\n['A)10 kmph', 'B)67 kmph', 'C)22 kmph', 'D)88 kmph', 'E)12 kmph']", "role": "user", "uuid": "c2c8406e-7fcb-42d2-af8c-2c68f8ca72f2" }, { "content": "Speed of the boat in still water\n= (60+80)/2\n= 70 kmph. Speed of the stream\n= (80-60)/2\n= 10 kmph.\nAnswer:A", "role": "assistant", "uuid": "a7aaed97-d328-4788-829d-e2c1bfb22f5a" } ]

{ "coherence": 3.31, "complexity": 0.7, "correctness": 2.51, "helpfulness": 2.66, "instruction-following": 3.46, "safety": 5.52, "verbosity": 0.53, "verbosity-coeff": -0.1239 }

[ { "content": "A boy wants to go abroad by boat and return by flight. He has a choice of 3 different boat to go and 4 flight to return. In how many ways, can the boy perform his journey?\n\n['A)20', 'B)40', 'C)18', 'D)12', 'E)16']", "role": "user", "uuid": "2dacb5fd-b7a9-4be3-a888-c228594bca1f" }, { "content": "Ans.(D)\nSol. Number of choices to go by ship = 3 Number of choices to return by airline = 4 From, fundamental principle, total number of ways of performing the journey = 3 x 4 = 12 ways", "role": "assistant", "uuid": "99120547-cb4d-424b-9c43-41a9f1d91367" } ]

{ "coherence": 2.9, "complexity": 1.42, "correctness": 2.45, "helpfulness": 2.64, "instruction-following": 2.98, "safety": 5.83, "verbosity": 0.94, "verbosity-coeff": -0.1234 }

[ { "content": "Rice weighing 25/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each container? (Note that 1 pound = 16 ounces)\n\n['A)22', 'B)25', 'C)28', 'D)31', 'E)34']", "role": "user", "uuid": "09008491-4343-4c97-a898-e2766d0c7c24" }, { "content": "25/4 ÷ 4 = 25/16 pounds in each container\n25/16 pounds * 16 ounces / pound = 25 ounces in each container\nThe answer is B.", "role": "assistant", "uuid": "d45b42db-bad1-41ae-bbc3-16c5a1a69858" } ]

{ "coherence": 3.27, "complexity": 1.1, "correctness": 2.57, "helpfulness": 2.72, "instruction-following": 2.96, "safety": 5.48, "verbosity": 0.47, "verbosity-coeff": -0.134 }

[ { "content": "Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?\n\n['A)Rs.528', 'B)Rs.542', 'C)Rs.528', 'D)Rs.540', 'E)Rs.549']", "role": "user", "uuid": "90ba49d7-3142-4f66-8f78-2f84b467f23f" }, { "content": "A+B+C = 1170\n4A = 3B = 2C = x\nA:B:C = 1/4:1/3:1/2 = 3:4:6\n6/13 * 1170 = Rs.540\nAnswer: D", "role": "assistant", "uuid": "a87d4a4d-851c-477b-a244-dd3c3876930f" } ]

{ "coherence": 2.55, "complexity": 1.27, "correctness": 1.84, "helpfulness": 2.2, "instruction-following": 2.61, "safety": 5.67, "verbosity": 0.89, "verbosity-coeff": -0.1259 }

[ { "content": "The product of the digits of the four-digit number E is 36. No two digits of are identical. How many different numbers are possible values of E ?\n\n['A)6', 'B)12', 'C)24', 'D)36', 'E)48']", "role": "user", "uuid": "cf4d0218-02bf-481f-8cbe-b2fed2a38acf" }, { "content": "The main question here is how can you arrange 4 different digits E. We don't even need to find the number. from the question itself we know that there are 4 different digits and none of them is 0 as the product is non-zero.\nTherefore no of ways to arrange 4 diff. digits is 4! which is 24\nhence C", "role": "assistant", "uuid": "e737737f-2af7-49a5-9199-fb48ddbb3ad5" } ]

{ "coherence": 2.31, "complexity": 1.56, "correctness": 1.52, "helpfulness": 1.43, "instruction-following": 1.39, "safety": 5.79, "verbosity": 1.12, "verbosity-coeff": -0.2536 }

[ { "content": "In an election between two candidates - Lange and Sobel - 70% of the voters voted for Sobel. Of the election`s voters, 60% were male. If 35% of the female voters voted for Lange, what percentage of the male voters voted for Sobel?\n\n['A)14', 'B)16', 'C)26', 'D)44', 'E)65']", "role": "user", "uuid": "f16e268f-92a8-43a6-b696-8d5a593b02e2" }, { "content": "M F total\nL 16 14 30\nS 44 70\nTot 60 40 100\n35% of 40 = 14 ------Female voters that means 16 male voted for L\nso 60-16 = 44\nD is correct", "role": "assistant", "uuid": "8412df69-027a-40a5-8ac8-100b9afa4379" } ]

{ "coherence": 2.66, "complexity": 1.22, "correctness": 1.8, "helpfulness": 1.89, "instruction-following": 1.56, "safety": 4.58, "verbosity": 0.59, "verbosity-coeff": -0.1817 }

[ { "content": "Sum of the squares of 3 no. is 156 and the sum of their products taken two at a time is 50. Find the sum?\n\n['A)18', 'B)16', 'C)19', 'D)21', 'E)15']", "role": "user", "uuid": "14abc6e5-ddc3-4b34-bb8f-5d708cf0de0d" }, { "content": "(a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 156 + 2* 50\na + b + c = √256 = 16\nAnswer B", "role": "assistant", "uuid": "7f154eb3-fe7a-4132-9742-1ad4784cb0bf" } ]

{ "coherence": 2.72, "complexity": 2.27, "correctness": 2.55, "helpfulness": 2.82, "instruction-following": 2.82, "safety": 4.93, "verbosity": 1.3, "verbosity-coeff": -0.1183 }

[ { "content": "When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following W is a possible value for x + y?\nI. 18\nII. 19\nIII. 20\n\n['A)I only', 'B)II only', 'C)W=III only', 'D)II and III only', 'E)None']", "role": "user", "uuid": "39e8c92b-2c89-434c-990e-d1b6b1ab4803" }, { "content": "TIP FOR SUCH QUESTIONS:Make Algebraic Equation in the beginning to understand how to proceed further. Then Start thinking the possible values of variables asked about\ni.e.When positive integer m is divided by positive integer x, the reminder is 7can be understood as\nm = ax +7which means thevalue of x must be greater than 7as the remainder 7 is possible only when the Divisor is bigger than the Remainder 7\ni.e. Min Value of x = 8\nAND\ni.e.When positive integer n is divided by positive integer y, the reminder is 11can be understood as\nn = by +11which means thevalue of y must be greater than 11as the remainder 11 is possible only when the Divisor is bigger than the Remainder 11\ni.e. Min Value of y = 12\ni.e. Minimum Value of x+y = 8+12 = 20\nHence III only can be True\nAnswer: Option\nC", "role": "assistant", "uuid": "f1e753d4-e297-4fe8-bc13-6d6e7602b79c" } ]

{ "coherence": 2.2, "complexity": 2.37, "correctness": 1.66, "helpfulness": 1.79, "instruction-following": 2.1, "safety": 5.55, "verbosity": 1.9, "verbosity-coeff": -0.2334 }

[ { "content": "A discount dealer professes to sell his goods at cost price\nbut uses a weight of 960 gms for a Kg weight .Find his gain %?\n\n['A)25%', 'B)6%', 'C)6/25%', 'D)25/6%', 'E)42%']", "role": "user", "uuid": "3860b6ec-d794-4328-96ff-bae8d9357b00" }, { "content": "Gain%=[(error*100)/(true value-error)]%\n=[(40*100)/1000-40)]%=25/6%\nANSWER D 25/6%", "role": "assistant", "uuid": "3cebd5c2-fb73-48e6-9b45-4f0a54605f30" } ]

{ "coherence": 2.51, "complexity": 1.92, "correctness": 2.06, "helpfulness": 1.96, "instruction-following": 2.27, "safety": 5.44, "verbosity": 1.22, "verbosity-coeff": -0.1159 }

[ { "content": "A batsman in his 12th innings makes a score of 80 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?\n\n['A)42', 'B)43', 'C)44', 'D)45', 'E)58']", "role": "user", "uuid": "1f5c1e03-0214-4d7a-b30f-94df8c728c80" }, { "content": "Let ‘x’ be the average score after 12 th innings\n⇒ 12x = 11 × (x – 2) + 80\n∴ x = 58\nAnswer E", "role": "assistant", "uuid": "98a1b010-7a9b-4e52-a67f-daa6a21375e7" } ]

{ "coherence": 2.55, "complexity": 2.27, "correctness": 2, "helpfulness": 2.12, "instruction-following": 2.51, "safety": 5.44, "verbosity": 1.05, "verbosity-coeff": -0.1505 }

[ { "content": "There are 200 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?\n\n['A)150', 'B)100', 'C)99', 'D)50', 'E)25']", "role": "user", "uuid": "9251b398-fa4a-44f6-a9fe-ae295795b3e1" }, { "content": "There are 198 managers and 2 others. The 2 others would compose 2% of the total number of people if there were 100 people in the room. Thus 100 managers must leave.\nThe answer is B.", "role": "assistant", "uuid": "aa6979ed-0d62-4594-82e5-1c9d122f502f" } ]

{ "coherence": 2.62, "complexity": 1, "correctness": 1.7, "helpfulness": 1.66, "instruction-following": 1.86, "safety": 5.12, "verbosity": 1.17, "verbosity-coeff": -0.13 }

[ { "content": "Excluding stoppages,the speed of the bus is 54kmph and\nincluding stoppages,it is 18kmph. For how many minutes does the bus stop per hr\n\n['A)12 min', 'B)11 min', 'C)13 min', 'D)20 min', 'E)40 min']", "role": "user", "uuid": "77a3ccda-bcd1-44a7-8307-53bf48afca82" }, { "content": "Due to stoppages,it covers 36km less.\ntime taken to cover 36 km is [36/54 *60] min = 40min\nAnswer is E.", "role": "assistant", "uuid": "d08367d1-16cb-4cb1-af40-a4dfadbf5ccb" } ]

{ "coherence": 2.53, "complexity": 1.11, "correctness": 2.33, "helpfulness": 2.29, "instruction-following": 2.64, "safety": 5.91, "verbosity": 0.72, "verbosity-coeff": -0.0958 }

[ { "content": "If mn > 0, which of the following must be negative?\n\n['A)2m+n', 'B)2m/n', 'C)m/n', 'D)-2mn', 'E)-m/-n']", "role": "user", "uuid": "706fe0ad-c0b1-4f05-ac21-35e76f97f15e" }, { "content": "- * + = -\nAnswer : D", "role": "assistant", "uuid": "b3838950-0d0f-4056-a5a6-4ad62079d1ce" } ]

{ "coherence": 1.92, "complexity": 1.2, "correctness": 1.41, "helpfulness": 1.71, "instruction-following": 1.78, "safety": 3.6, "verbosity": 0.5, "verbosity-coeff": -0.2041 }

[ { "content": "Meera purchased two three items from a shop. Total price for three items is Rs.3200/- She have given Rs. 6000/- What is the balance amount meera got?\n\n['A)650', 'B)1400', 'C)1350', 'D)8200', 'E)2800']", "role": "user", "uuid": "9f7b63e8-572b-488c-a597-57eeabe95612" }, { "content": "Total cost of Items : 3200/-\namount Paid : 6000/-\nBalance receivable : 6000 - 3200 = 2800/-\nAnswer is E", "role": "assistant", "uuid": "db7d7338-0361-4a83-960c-6243f8298745" } ]

{ "coherence": 2.7, "complexity": 1.11, "correctness": 2.37, "helpfulness": 2.59, "instruction-following": 3.19, "safety": 4.89, "verbosity": 1.1, "verbosity-coeff": -0.0822 }

[ { "content": "Susan weighs m pounds more than Anna does, and together they weigh a total of n pounds. Which of the following represents Anna’s weight in pounds?\n\n['A)(n - m)/2', 'B)(n + m)/2', 'C)n/2 - m', 'D)2n − m', 'E)n − 2m']", "role": "user", "uuid": "489456ae-515a-4ac3-882a-48d5677b747d" }, { "content": "Let Anna's weight = a\nSusan's weight = a + m\nTogether their weight is 2a + m = n\n2a = n-m\nHence a = #(n-m)/2#\nANSWER:A", "role": "assistant", "uuid": "13493ad5-5788-4e81-8da8-eb64541417ea" } ]

{ "coherence": 2.88, "complexity": 1.5, "correctness": 2.62, "helpfulness": 2.82, "instruction-following": 3.72, "safety": 4.4, "verbosity": 0.9, "verbosity-coeff": -0.1585 }

[ { "content": "A car travels from A to B at an average speed of 50 km/hour. At what average speed would it have to travel from B to A to average 60 km/hour for the whole trip?\n\n['A)65 km/hour', 'B)95 km/hour', 'C)55 km/hour', 'D)75 km/hour', 'E)45 km/hour']", "role": "user", "uuid": "bae32189-db95-4f29-80cd-8fa016ec8114" }, { "content": "Let d be the distance between A and B\nT1 = d / 50 : travel time from A to B\nLet S be the speed from B to A\nT2 = d/S : travel time from B to A\n60 = 2d/(T1 + T2) : average speed for the whole trip\n60 = 2d/(d/50 + d/S) : substitute T1 and T2\nS = 75 km/hour : solve the above equation for S.\ncorrect answer D", "role": "assistant", "uuid": "6cff0893-0fc2-4531-95b6-effcaa316510" } ]

{ "coherence": 3.02, "complexity": 1.97, "correctness": 2.25, "helpfulness": 2.29, "instruction-following": 3.43, "safety": 5.09, "verbosity": 1.08, "verbosity-coeff": -0.143 }

[ { "content": "Sonika deposited Rs.6200 which amounted to Rs.7200 after 5 years at simple interest. Had the interest been 3% more. She would get how much?\n\n['A)9680', 'B)8130', 'C)8134', 'D)8556', 'E)9808']", "role": "user", "uuid": "0c3cd261-13ed-4ade-be2e-540929fd96ee" }, { "content": "(6200*5*3)/100 = 930\n7200\n--------\n8130\nAnswer: B", "role": "assistant", "uuid": "7240f682-10cb-4df6-81e9-a797140f0079" } ]

{ "coherence": 2.62, "complexity": 0.94, "correctness": 1.71, "helpfulness": 2.04, "instruction-following": 2.51, "safety": 6.41, "verbosity": 0.26, "verbosity-coeff": -0.1138 }

[ { "content": "When x is multiplied by 3, the result is 10 more than the result of subtracting x from 26. What is the value of x?\n\n['A)-4', 'B)9', 'C)11', 'D)13', 'E)22']", "role": "user", "uuid": "ecc139fd-3a6b-40a0-aa0e-3e3c6b2751d5" }, { "content": "The equation that can be formed is:\n3x-10=26-x\nor, 4x=36\nor, x=9.\nB answer.", "role": "assistant", "uuid": "a61bcce7-d206-4e15-a4c4-afd9c6a45c90" } ]

{ "coherence": 2.84, "complexity": 1.33, "correctness": 2.02, "helpfulness": 2.12, "instruction-following": 2.39, "safety": 4.25, "verbosity": 0.63, "verbosity-coeff": -0.186 }

[ { "content": "Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight?\n\n['A)2:5', 'B)3:5', 'C)4:7', 'D)2:6', 'E)1:4']", "role": "user", "uuid": "092c7932-acb5-407c-a1bd-e47890fbbff8" }, { "content": "2% is 3%-points below 5% and 10% is 5%-points above 5%.\nThe ratio of A:B should be 3:5.\nThe answer is B.", "role": "assistant", "uuid": "ff5515dc-95b7-4609-9e05-f5e6f7cf0501" } ]

{ "coherence": 2.61, "complexity": 1.4, "correctness": 2.06, "helpfulness": 1.93, "instruction-following": 2.37, "safety": 5.79, "verbosity": 0.92, "verbosity-coeff": -0.1717 }

[ { "content": "A can do a work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job?\n\n['A)15/2', 'B)10', 'C)7/2', 'D)12', 'E)6']", "role": "user", "uuid": "36f3783b-dc43-4e15-a0af-518867e282ee" }, { "content": "Ratio of times taken by A and B = 160:100 = 8:5\nsuppose B alone to take x days to do the work\nthen, 8:5::12:x\n8x= 5*12\nx=15/2 days\ncorrect option is A", "role": "assistant", "uuid": "556f3ea8-6758-4005-8b17-d998d2f3deed" } ]

{ "coherence": 2.84, "complexity": 1.77, "correctness": 2.2, "helpfulness": 2.25, "instruction-following": 3.15, "safety": 6.3, "verbosity": 1.43, "verbosity-coeff": -0.1227 }

[ { "content": "A Jar contains a mixture of AB in the ratio 4:1. When 30 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially.\n\n['A)12', 'B)48', 'C)16', 'D)20', 'E)25']", "role": "user", "uuid": "91ef231f-d882-4824-bafe-31f6df510093" }, { "content": "30 litres of mixture that is replaced will contain 24 litres of A and 6 litres of B (as A:B = 4:1)\nLet the initial volume of the mixture be 4K + 1K = 5K\nSo by condition ,\n[ 4K-24]/ [ K-6+30 ] = 2/3 = > 12K-72 = 2K-12+60 => 10K = 120\nSolve for K which is K = 12\nSo initial volume of liquid A = 4K = 48 litres\nAnswer : B", "role": "assistant", "uuid": "cdb2f784-bd60-446d-9da7-efc07b593477" } ]

{ "coherence": 3, "complexity": 1.54, "correctness": 2.74, "helpfulness": 2.86, "instruction-following": 3.56, "safety": 5.2, "verbosity": 1.07, "verbosity-coeff": -0.1166 }

[ { "content": "In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 4 and a y-intercept of -4. If the two lines intersect at the point (a,b), what is the sum a+b?\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)4']", "role": "user", "uuid": "4d213077-5313-4210-a1ab-1c0b48fc37f1" }, { "content": "The equation of Line A is y = -x + 1\nThe equation of Line B is y = 4x - 4\n4x - 4 = -x + 1\nx = 1\ny = 0\nThe point of intersection is (1,0) and then a+b = 1.\nThe answer is B.", "role": "assistant", "uuid": "5ce83c69-c88e-42bd-96ab-6d3af2e912b5" } ]

{ "coherence": 3.05, "complexity": 1.77, "correctness": 2.43, "helpfulness": 2.64, "instruction-following": 3.13, "safety": 6.41, "verbosity": 1.23, "verbosity-coeff": -0.2178 }

[ { "content": "How many integers are between 4 and 87/8, inclusive?\n\n['A)4', 'B)5', 'C)7', 'D)9', 'E)10']", "role": "user", "uuid": "3a69b687-58a2-4fb8-a5e1-5e0662fd081a" }, { "content": "87/8 = 10.xx\nWe are not concerned about the exact value of 87/8 as we just need the integers.\nSince the values are small, we can write down the integers.\nThe different integers between 4 and 87/8 would be 4, 5, 6, 7, 8, 9, 10\nTotal number of integers = 7\nOption C", "role": "assistant", "uuid": "d8bce72c-ab62-4385-a658-a3c091a81391" } ]

{ "coherence": 2.78, "complexity": 1.62, "correctness": 2.64, "helpfulness": 2.41, "instruction-following": 3.17, "safety": 5.75, "verbosity": 1.59, "verbosity-coeff": -0.2361 }

[ { "content": "The 38 parents participating in the Smithville PTA have been assigned to at least 1 of 3 committees: festival planning, classroom aid, and teacher relations. 21 parents are assigned to the festival planning committee, 18 parents are assigned to the classroom aid committee, and 19 parents are assigned to the teacher relations committee. If 5 parents are assigned to all 3 committees, how many parents are assigned to exactly 2 committees?\n\n['A)4', 'B)6', 'C)8', 'D)9', 'E)10']", "role": "user", "uuid": "45d58a5e-e6a9-4334-97da-4d56da2432be" }, { "content": "The formula is Total = A+B+C - sum of exactly two + 2*all three + neither\n21+18+19-x-2*5=38\nsolving for x you get 10\nAnswer E", "role": "assistant", "uuid": "740001cd-63ea-414f-9866-fdd251d3fd0c" } ]

{ "coherence": 2.45, "complexity": 0.77, "correctness": 1.82, "helpfulness": 1.79, "instruction-following": 2.51, "safety": 5.91, "verbosity": 0.71, "verbosity-coeff": -0.1978 }

[ { "content": "The sum of the mean, the median, and the range of the set {1, 2, 9} equals which one of the following values?\n\n['A)12', 'B)14', 'C)16', 'D)8', 'E)10']", "role": "user", "uuid": "7141798d-3e16-47a5-9ea9-b3d41d241d12" }, { "content": "set {1, 2, 9}\nMean = (1+2+9)/3 = 4\nMeadian = Middle term = 2\nRange = Highest - Lowest = 9-1 = 8\nMean+Median+Range = 4+2+8 = 14\nAnswer: Option B", "role": "assistant", "uuid": "b31a34fd-a523-4c77-9798-dcfe21134027" } ]

{ "coherence": 2.98, "complexity": 1.04, "correctness": 2.57, "helpfulness": 2.78, "instruction-following": 3.39, "safety": 5.83, "verbosity": 0.81, "verbosity-coeff": -0.2178 }

[ { "content": "In the following list of numerals, how many 3s are followed by 3, but NOT preceded by 3?\n2463315 7833346233339723\n\n['A)1', 'B)2', 'C)3', 'D)4', 'E)5']", "role": "user", "uuid": "d6c25dc9-e2a7-4bb0-9e54-8063b0a1acc5" }, { "content": "total 3 are there\nANSWER:C", "role": "assistant", "uuid": "efc71764-7d0e-49c0-926f-79dd6fe95427" } ]

{ "coherence": 2.33, "complexity": 0.95, "correctness": 1.97, "helpfulness": 2.08, "instruction-following": 2.25, "safety": 2.86, "verbosity": 0.9, "verbosity-coeff": -0.0806 }

[ { "content": "How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.\n\n['A)34', 'B)677', 'C)197', 'D)177', 'E)191']", "role": "user", "uuid": "d02b4714-c1cf-4dff-9af8-024590a2555d" }, { "content": "Single digit numbers = 4\nDouble digit numbers = 4 x 3 = 12\nThree digit numbers = 3 x 3 x 2 x 1 = 18\nTotal = 34\nAnswer:A", "role": "assistant", "uuid": "ed64cff6-8855-4f17-b62d-ece9f5c4c758" } ]

{ "coherence": 2.35, "complexity": 1.12, "correctness": 2.16, "helpfulness": 2.27, "instruction-following": 2.88, "safety": 5.71, "verbosity": 0.92, "verbosity-coeff": -0.2342 }

[ { "content": "A car was driving at 72 Km/h for 20 minutes, and then at 81 Km/h for another 40 minutes. What was its average speed?\n\n['A)76.', 'B)77.', 'C)78.', 'D)79.', 'E)80.']", "role": "user", "uuid": "72aaea20-7269-4ac3-baf4-56bca28caca2" }, { "content": "driving at 72 Km/h for 20 minutes ,distance covered = 72*1/3=24 km\ndriving at 90 km/h for 40 minutes ,distance covered = 81*2/3=54 km\naverage speed = total distance/total time = 78/1 = 78 km/h\nAnswer: A", "role": "assistant", "uuid": "4c93eff5-eb89-4ca9-a044-4a52ad8a44d5" } ]

{ "coherence": 2.59, "complexity": 1.68, "correctness": 1.95, "helpfulness": 1.92, "instruction-following": 2.37, "safety": 5.55, "verbosity": 1.04, "verbosity-coeff": -0.1642 }

[ { "content": "The LCM and HCF of two numbers are 100 and 10 respectively. Find the larger of the two numbers if their sum is 110.\n\n['A)100', 'B)12', 'C)35', 'D)466', 'E)56']", "role": "user", "uuid": "5b669d8e-0dc5-4eea-93fc-df9f335d6a79" }, { "content": "There are 2 approaches in solving this.\nMethode 1.\nHCF * LCM = The Actual Number.\n100* 10= 1000\nSo the answer which we are looking for has to be a factor of 1000.\nSo among the options shortlist the answers by eliminating those numbers which is not divisible by 1000. and then take the highest number as the answer as the question asks abt the highest number.\nanswer is A", "role": "assistant", "uuid": "73d0fcab-344b-4baf-a474-4015feed6bbe" } ]

{ "coherence": 2.35, "complexity": 1.5, "correctness": 1.77, "helpfulness": 1.9, "instruction-following": 1.52, "safety": 5.2, "verbosity": 0.99, "verbosity-coeff": -0.1312 }

[ { "content": "A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?\n\n['A)14 1/7 days', 'B)15 1/7 days', 'C)16 2/3 days', 'D)17 1/7 days', 'E)18 1/7 days']", "role": "user", "uuid": "34bcbcbb-5ef7-45d1-9c3a-d1b1674ee43b" }, { "content": "5/10 + 20/x = 1\nx = 40\n1/30 + 1/40 = 7/120\n120/7 = 17 1/7 days\nANSWER:D", "role": "assistant", "uuid": "d41856fe-4c66-4363-8226-07048f30b672" } ]

{ "coherence": 2.37, "complexity": 1.4, "correctness": 1.89, "helpfulness": 1.87, "instruction-following": 2.68, "safety": 6.18, "verbosity": 0.73, "verbosity-coeff": -0.1159 }

[ { "content": "what is the sum of the first 18 odd natural numbers\n\n['A)300', 'B)400', 'C)500', 'D)324', 'E)700']", "role": "user", "uuid": "aa4f0595-52e4-4a8d-9299-938b7d300569" }, { "content": "sum of first n odd natural nuber is = n^2\nso sum of the first 18 odd natural numbers=(18)^2=324\nans 324\nANSWER:D", "role": "assistant", "uuid": "b091aaa3-1208-499b-b092-438641d9346b" } ]

{ "coherence": 2.74, "complexity": 1.76, "correctness": 2.82, "helpfulness": 2.72, "instruction-following": 3.78, "safety": 4.17, "verbosity": 1.75, "verbosity-coeff": -0.0917 }

[ { "content": "There are five thieves, each loot a bakery one after the other such that the first one takes 1/2 of the total no. of the breads plus 1/2 of a bread. Similarly 2nd, 3rd,4th and 5fth also did the same. After the fifth one no. of breads remained are 3. Initially how many breads were there?\n\n['A)124', 'B)125', 'C)126', 'D)127', 'E)128']", "role": "user", "uuid": "48621a7d-1cbd-425c-8a3f-9d4d2336da04" }, { "content": "Let the Number of Breads Initial be x\nYou Should Go in Reverse Order as left Bread is 3\ni.e x=?\nAfter 1st person ate A=x-(x/2)-(1/2)\ni.e A=(2x-x)/2-(1/2)\ni.e A=(x/2)-(1/2)\ni.e A=(2x-2)/4\ni.e A=(x-1)/2\nlike wise ----After 2nd person ate B=(A-1)/2\nlike wise ----After 3rd person ate C=(B-1)/2\nlike wise ----After 4th person ate D=(C-1)/2\nlike wise ----After 5th person ate E=(D-1)/2\nNow as after 5th person ate the Value of remaining Bread is ---3\ntherefore the value of E=3;\nNow go Reverse from botom to top to get the value of X after calcuating\nValue of D=7\nValue of C=15\nValue of B=31\nValue of A=63\nValue of X=127\nSO the Final answer is 127 breads were there\nANSWER:D", "role": "assistant", "uuid": "64a63829-4105-4281-a487-0ba79c5af6b1" } ]

{ "coherence": 2.45, "complexity": 2.33, "correctness": 1.99, "helpfulness": 1.91, "instruction-following": 2.9, "safety": 4.85, "verbosity": 2.08, "verbosity-coeff": -0.1158 }

[ { "content": "A certain ski shop sells pairs of gloves in 9 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?\n\n['A)1/144', 'B)1/143', 'C)1/24', 'D)1/23', 'E)1/17']", "role": "user", "uuid": "734c0f22-ba09-4240-a731-cdac1685573d" }, { "content": "there are 9 different colours sothere are 9 pairs of gloves dropped..\nfirst can be any of 18..so 18/18..\nsecond has to be its pair, which will be just one out of remaining 17.. 1/17..\noverall prob=18/18*1/17= 1/17..\nE", "role": "assistant", "uuid": "4d101981-0ff1-4e81-bf2b-dac668261b4e" } ]

{ "coherence": 2.61, "complexity": 0.96, "correctness": 1.75, "helpfulness": 1.81, "instruction-following": 1.83, "safety": 4.7, "verbosity": 1, "verbosity-coeff": -0.2106 }

[ { "content": "If v and y are integers, then vy(v + y) is\n\n['A)Always positive', 'B)Always negative', 'C)Positive when v is positive', 'D)Negative when v is negative', 'E)It cannot be determined by the information given']", "role": "user", "uuid": "17e93d38-3f9b-496e-ad31-596eb9d20e3f" }, { "content": "Given v and y are integers, then vy(v + y)\nLet's take even as 2 / -2 and odd as 3 / -3..we get the following.. and IMO option D is correct answer..\nI presume its Option E if am not missing anything.\nv=-3 and y=1\nvy(v + y) is positive = 6", "role": "assistant", "uuid": "fb17e044-63a8-4b8c-b103-21a7bd5159e5" } ]

{ "coherence": 2.64, "complexity": 2.18, "correctness": 1.97, "helpfulness": 1.79, "instruction-following": 1.3, "safety": 4.13, "verbosity": 1.68, "verbosity-coeff": -0.1567 }

[ { "content": "Geetha 's home has One tap, working alone at its maximum constant rate, can fill a certain sink in 210 seconds. A second tap, working alone at its maximum constant rate, can fill the same sink in 214 seconds. If both taps work together at their respective maximum constant rates, the time it will take to fill the sink is closest to\n\n['A)106 seconds', 'B)130 seconds', 'C)177 seconds', 'D)200 seconds', 'E)270 seconds']", "role": "user", "uuid": "0abd04be-c01d-4539-a9bd-45b77551ea55" }, { "content": "Tap 1 : 210 secs\nTap 2 : 214 secs\nConsidering the average of these 2 taps : 212 secs.\nSo 1 tap can fill the tank in 212 secs, so 2 taps can fill the tank in 212/2 = 106 secs.\nClosest answer is A.", "role": "assistant", "uuid": "8598de63-d332-4932-af06-a66d84e5d526" } ]

{ "coherence": 2.8, "complexity": 0.76, "correctness": 2.39, "helpfulness": 2.37, "instruction-following": 2.02, "safety": 4.58, "verbosity": 0.82, "verbosity-coeff": -0.1238 }

[ { "content": "Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 800 become in 3 years ?\n\n['A)Rs. 1020.80', 'B)Rs. 1025', 'C)Rs. 1052', 'D)Data inadequate', 'E)None of these']", "role": "user", "uuid": "53281d91-8320-4493-886d-30d631f2a78e" }, { "content": "Solution\nS.I. = Rs.(956-800 )=Rs.156\nRate = (100x156/800x3) = 6 1/2%\nNew rate = (6 1/2 +4)% = 10 1/2%\nNew S.I. = Rs.(800 x21/2x3/100) Rs. 252.\n∴ New amount = Rs.(800+252)= Rs. 1052.\nAnswer C", "role": "assistant", "uuid": "459881b8-38cf-463a-a1fa-cfb3577bd04a" } ]

{ "coherence": 3.02, "complexity": 1.44, "correctness": 2.88, "helpfulness": 3.05, "instruction-following": 3.89, "safety": 5.79, "verbosity": 1.73, "verbosity-coeff": -0.1062 }

[ { "content": "The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 10 years ago was 20 years. The present age of the husband is:\n\n['A)20 years', 'B)34 years', 'C)60 years', 'D)30 years', 'E)35 years']", "role": "user", "uuid": "8d5ee280-e4d9-4acd-84ed-863bf94189b8" }, { "content": "D\n30 years\nSum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.\nSum of the present ages of wife and child = (20 x 2 + 10 x 2) years = 60 years.\nHusband's present age = (90 - 60) years = 30 years.", "role": "assistant", "uuid": "1b396c26-285c-4e51-b2da-288ea8a43bb1" } ]

{ "coherence": 3.19, "complexity": 1.47, "correctness": 2.31, "helpfulness": 2.74, "instruction-following": 3.45, "safety": 3.74, "verbosity": 0.76, "verbosity-coeff": -0.1245 }

[ { "content": "A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 99 km/hr. What is the length of the platform?\n\n['A)440', 'B)488', 'C)477', 'D)426', 'E)422']", "role": "user", "uuid": "ca1df3be-69e2-4d97-bfb0-b65244f154df" }, { "content": "Speed = 99 * 5/18 = 27.5 m/sec.\nLength of the train = 27.5 * 20 = 550 m.\nLet the length of the platform be x m . Then,\n(x + 550)/36 = 27.5 => x = 440 m.\nAnswer: A", "role": "assistant", "uuid": "807ad9fa-87c4-4ed9-82a7-98b4a34e936a" } ]

{ "coherence": 3.11, "complexity": 1.61, "correctness": 2.61, "helpfulness": 2.76, "instruction-following": 4.23, "safety": 5.2, "verbosity": 1.32, "verbosity-coeff": -0.1184 }

[ { "content": "Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $8.91 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discount rates is 22 percent, what is the discount rate on Pony jeans?\n\n['A)9%', 'B)10%', 'C)11%', 'D)12%', 'E)15%']", "role": "user", "uuid": "8071bf80-0507-494f-b667-2a3508bbe331" }, { "content": "Let x be the discount on Pony jeans. Then 0.22-x is the discount on Fox jeans.\n3(0.22-x)(15) + 2x(18) = 8.91\n9.9 - 45x + 36x = 8.91\n9x = 0.99\nx = 0.11\nThe answer is C.", "role": "assistant", "uuid": "6cf8924f-d56c-4fb7-94a9-d933323890d4" } ]

{ "coherence": 2.88, "complexity": 1.51, "correctness": 2.18, "helpfulness": 2.37, "instruction-following": 2.98, "safety": 4.62, "verbosity": 0.65, "verbosity-coeff": -0.1699 }

[ { "content": "How many seconds will a train 130 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\n\n['A)28 sec', 'B)23 sec', 'C)24 sec', 'D)25 sec', 'E)26 sec']", "role": "user", "uuid": "2b1bddd7-4857-4772-a2c7-8fb72a2745e6" }, { "content": "D = 130 + 150 = 280\nS = 36 * 5/18 = 10 mps\nT = 280/10 = 28 sec\nA", "role": "assistant", "uuid": "23c0106d-0650-4d66-9ff2-0d4be6285938" } ]

{ "coherence": 2.86, "complexity": 1.62, "correctness": 2.14, "helpfulness": 2.29, "instruction-following": 2.98, "safety": 5.09, "verbosity": 0.85, "verbosity-coeff": -0.1102 }

[ { "content": "What least number must be added to 1056, so that the sum is completely divisible by 23 ?\n\n['A)2', 'B)3', 'C)4', 'D)5', 'E)6']", "role": "user", "uuid": "aa9a6144-255d-4b76-a6af-5f7a4de6dbb1" }, { "content": "23) 1056 (45\n92\n---\n136\n115\n---\n21\n---\nRequired number = (23 - 21)\n= 2.\nA)", "role": "assistant", "uuid": "7ef09bf1-2083-4497-a008-66ecae0f8a64" } ]

{ "coherence": 2.31, "complexity": 1.67, "correctness": 1.35, "helpfulness": 1.54, "instruction-following": 1.86, "safety": 5.32, "verbosity": 0.94, "verbosity-coeff": -0.1808 }

[ { "content": "What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 3 years?\n\n['A)1 : 3', 'B)2 : 1', 'C)1 : 2', 'D)3 : 2', 'E)1 : 4']", "role": "user", "uuid": "2f88d967-2b6f-4ef6-8a69-b0ccbf7f4dcb" }, { "content": "Let the principal be P and rate of interest be R%.\nRequired ratio =\n(P x R x 6)/100 DIVIDED BY\t(P x R x 3)/100\n=\t6PR/3PR\t=\t6/3\t= 2 : 1.\nANSWER : B", "role": "assistant", "uuid": "2481a62b-7f43-4293-aa74-fe9e9a60c618" } ]

{ "coherence": 2.72, "complexity": 1.75, "correctness": 2.53, "helpfulness": 2.9, "instruction-following": 3.64, "safety": 5.36, "verbosity": 1.35, "verbosity-coeff": -0.149 }

[ { "content": "If 36 men can do a piece of work in 25 hours, in how many hours will 14 men\ndo it ?\n\n['A)65 hours', 'B)64 hours', 'C)30 hours', 'D)62 hours', 'E)66 hours']", "role": "user", "uuid": "5096f2fd-4339-4f61-8340-9b9a622c2fc4" }, { "content": "Let the required number of hours be x. Then,\nLess men, More hours\t(Indirect Proportion)\n14 : 36 : : 25 : x\t(14 x x) = (36 x 25)\t(36 x 25)/14 ~ 64\nAnswer is B.", "role": "assistant", "uuid": "2866e77d-b94d-4308-b146-39b6a81f390c" } ]

{ "coherence": 2.78, "complexity": 1.59, "correctness": 2.18, "helpfulness": 2.2, "instruction-following": 3.07, "safety": 6.22, "verbosity": 1.17, "verbosity-coeff": -0.1263 }

[ { "content": "Suganya and Suriya are partners in a business. Suganya invests Rs. 15,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.31,570. Suganya's share is\n\n['A)Rs.9471', 'B)Rs.12,628', 'C)Rs.18,040', 'D)Rs.7015.56', 'E)None']", "role": "user", "uuid": "3752bb85-159c-48e3-ad2d-c6924d2b62ce" }, { "content": "Solution\nRatio of their shares\t=(15000×8):(42000×10)\n= 2 : 7.\nSuganya's share\t= Rs.(31570 ×2/9)\n= Rs.7015.56\nAnswer D", "role": "assistant", "uuid": "be43a225-4b20-4e75-9e84-c1b100511c64" } ]

{ "coherence": 2.49, "complexity": 1.11, "correctness": 2.2, "helpfulness": 2.31, "instruction-following": 3.68, "safety": 4.81, "verbosity": 1.14, "verbosity-coeff": -0.1154 }

[ { "content": "The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 1 year?\n\n['A)12300', 'B)12350', 'C)12000', 'D)12500', 'E)12600']", "role": "user", "uuid": "726e39fc-0a74-4331-a16d-d8de8026d034" }, { "content": "Formula :\n( After =100 denominator\nAgo = 100 numerator)\n10000 × 120/100 = 12000\nC", "role": "assistant", "uuid": "620e75d6-ae30-424e-bb31-d515ef8ee10e" } ]

{ "coherence": 2.31, "complexity": 1.5, "correctness": 2.16, "helpfulness": 2.12, "instruction-following": 2.84, "safety": 5.59, "verbosity": 0.9, "verbosity-coeff": -0.085 }

[ { "content": "A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?\n\n['A)1', 'B)16', 'C)15', 'D)88', 'E)19']", "role": "user", "uuid": "ad34b684-dac4-4713-84c9-253a6b3bfa19" }, { "content": "Suppose, first pipe alone takes x hours to fill the tank. Then, second and third pipes will take (x - 5) and (x - 9) hours respectively to fill the tank.\n1/x + 1/(x - 5) = 1/(x - 9)\n(2x - 5)(x - 9) = x(x - 5)\nx2 - 18x + 45 = 0\n(x- 15)(x - 3) = 0 => x = 15.Answer:C", "role": "assistant", "uuid": "67d05a36-17a0-4ee0-a80a-34df4585494e" } ]

{ "coherence": 2.9, "complexity": 1.64, "correctness": 2.35, "helpfulness": 2.35, "instruction-following": 3.56, "safety": 5.44, "verbosity": 1.06, "verbosity-coeff": -0.1198 }

[ { "content": "The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 120?\n\n['A)3', 'B)14', 'C)32', 'D)30', 'E)70']", "role": "user", "uuid": "0c167463-f000-4639-a662-13e3b9eb20dd" }, { "content": "Greatest common factor n and 16 is 4 = 2*2 * 2*2\nGreatest common factor n and 45 is 3 = 3*3 *5\nGreatest common factor n and 120 is = 2*3*5 =30\nAnswer: D.", "role": "assistant", "uuid": "eaf639c6-2364-488b-aece-2c6170c8dc56" } ]

{ "coherence": 2.51, "complexity": 1.4, "correctness": 1.74, "helpfulness": 2.04, "instruction-following": 1.42, "safety": 5.36, "verbosity": 0.66, "verbosity-coeff": -0.2445 }

[ { "content": "If m = 9/25, c = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?\n\n['A)c, m, w', 'B)c, w, m', 'C)m, w, c', 'D)w, c, m', 'E)w, m, c']", "role": "user", "uuid": "9a6b80a2-bcb3-43a7-b196-44a7239eb400" }, { "content": "Answer W - w, m, c\nm ~ 1/3\nc ~ 1/2\nand m+w+c = 1 hence w ~ 1/6\nHence increasing order would be w -> m -> c\nAnswer E", "role": "assistant", "uuid": "c463135e-f0e7-4acd-8b1c-618aef735c44" } ]

{ "coherence": 2.53, "complexity": 1.49, "correctness": 1.66, "helpfulness": 1.73, "instruction-following": 1.69, "safety": 3.72, "verbosity": 0.85, "verbosity-coeff": -0.194 }

[ { "content": "One side of a rectangular field is 15 m and one of its diagonal is 18 m. Find the area of the field.\n\n['A)100', 'B)120', 'C)150', 'D)148.5', 'E)None']", "role": "user", "uuid": "c5d7f48c-8013-4dea-9d50-59f33b02cee0" }, { "content": "Solution\nOther side = √(18)2 - (15)2\n= √324 - 225\n= √99\n= 9.9 m.\n∴ Area = (15 x 9.9)m2 = 148.5 m2.\nAnswer D", "role": "assistant", "uuid": "ab52774f-2ef2-4519-8a45-8cfcad1d723f" } ]

{ "coherence": 2.49, "complexity": 1.09, "correctness": 1.92, "helpfulness": 2.1, "instruction-following": 3.48, "safety": 6.77, "verbosity": 0.87, "verbosity-coeff": -0.128 }

[ { "content": "A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 9:6:5, respectively, by weight. If 40 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?\n\n['A)15', 'B)12', 'C)8', 'D)6', 'E)4']", "role": "user", "uuid": "aeca9797-f7bb-45cf-a7b3-163b463dfa16" }, { "content": "We can first set up our ratio using variable multipliers. We are given that a fruit-salad mixture consists of apples, peaches, and grapes, in the ratio of 6:5:2, respectively, by weight. Thus, we can say:\napples : peaches : grapes = 6x : 5x : 2x\nWe are given that 39 pounds of the mixture is prepared so we can set up the following question and determine a value for x:\n9x + 6x + 5x = 40\n20x = 40\nx = 2\nNow we can determine the number of pounds of apples and of grapes.\npounds of grapes = (5)(2) = 10\npounds of apples = (9)(2) = 18\nThus we know that there are 18 – 10 = 8 more pounds of apples than grapes.\nAnswer is C.", "role": "assistant", "uuid": "e61071f7-70ac-43c3-ba5d-d4c08848c838" } ]

{ "coherence": 2.78, "complexity": 1.38, "correctness": 2.06, "helpfulness": 2.12, "instruction-following": 1.91, "safety": 4.42, "verbosity": 0.9, "verbosity-coeff": -0.2129 }

[ { "content": "A sum of Rs.1440 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls\n\n['A)8B, 5G', 'B)7B, 6G', 'C)4B, 9G', 'D)9B, 4G', 'E)9B, 5G']", "role": "user", "uuid": "43623470-9661-427d-bd6a-5762f43f1b09" }, { "content": "120B+100G=1460-----i\nB+G=13-------ii\nfrom i\n100B+20B+100G=1440\n100(B+G)+20B=1440\n100(13)+20B=1440\nBy simplifing we get\nB=7;G=6\nANSWER:B", "role": "assistant", "uuid": "f71052b3-8321-413d-8c06-1953d0491e95" } ]

{ "coherence": 2.61, "complexity": 1.54, "correctness": 2.18, "helpfulness": 2.39, "instruction-following": 3.07, "safety": 6.22, "verbosity": 1.46, "verbosity-coeff": -0.1437 }

[ { "content": "A family made a down payment of $20\nand borrowed the balance on a set of\nencyclopedias that cost $120. The\nbalance with interest was paid in 7\nmonthly payments of $15.2 each and a\nfinal payment of $7. The amount of\ninterest paid was what percent of the\namount borrowed?\n\n['A) 6%', 'B) 12%', 'C) 13.4%', 'D) 16%', 'E) 20%']", "role": "user", "uuid": "c68f9825-6656-45ea-9b17-1c9dc9f9919f" }, { "content": "interest paid = 15.2*7+7 - 100 = 13.4\n% off the balance = (13.4/100) * 100 = 13.4 %\nAnswer is C.", "role": "assistant", "uuid": "8baba371-2816-4bf6-bc07-7d2ccf91be3d" } ]

{ "coherence": 2.61, "complexity": 1.38, "correctness": 1.71, "helpfulness": 1.81, "instruction-following": 2.78, "safety": 4.85, "verbosity": 0.73, "verbosity-coeff": -0.1195 }

[ { "content": "A man can row his boat with the stream at 16 km/h and against the stream in 4 km/h. The man's rate is?\n\n['A)1 kmph', 'B)3 kmph', 'C)6 kmph', 'D)7 kmph', 'E)5 kmph']", "role": "user", "uuid": "67047102-47ca-49c0-9dfb-8041c0f299cb" }, { "content": "DS = 16\nUS = 4\nS = ?\nS = (16 - 4)/2 = 6 kmph\nAnswer: C", "role": "assistant", "uuid": "ff0f8c52-6d1d-498a-9b5e-0664ed5ff894" } ]

{ "coherence": 3.13, "complexity": 1.11, "correctness": 2.94, "helpfulness": 2.98, "instruction-following": 3.72, "safety": 4.58, "verbosity": 0.14, "verbosity-coeff": -0.1233 }

[ { "content": "If 20 honey bees make 20 grams of honey in 20 days, then 1 honey bee will make 1 gram of honey in how many days?\n\n['A)1', 'B)3.5', 'C)20', 'D)49', 'E)30']", "role": "user", "uuid": "592635fd-aa61-4c55-9129-b1f5d68b7224" }, { "content": "Explanation :\nLet the required number days be x.\nLess honey bees, More days (Indirect Proportion)\nLess honey, Less days (Direct Proportion)\nHoney bees 1 : 20 :: 20 : x\nHoney 20 : 1\n=> 1 x 20 x x = 20 x 1 x 20\n=> x = 20.\nAnswer : C", "role": "assistant", "uuid": "a98a5947-b65c-478c-9766-713b1d6987ab" } ]

{ "coherence": 2.9, "complexity": 1.92, "correctness": 2.51, "helpfulness": 2.64, "instruction-following": 3.33, "safety": 5.52, "verbosity": 1.04, "verbosity-coeff": -0.1352 }

[ { "content": "Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?\n\n['A)22', 'B)35', 'C)56', 'D)70', 'E)105']", "role": "user", "uuid": "24c32a7e-c89e-4b62-87d3-016eefc47029" }, { "content": "Possible groups = Possible groups of 3 women * possible groups of 1 men\nSince order does not matter, its a combination problem.\n=[5!/(3!2!)} * [7!/(6!1!)]\n=70\nANSWER:D", "role": "assistant", "uuid": "77f79646-102e-4797-a3c7-61f622b770d2" } ]

{ "coherence": 2.68, "complexity": 0.86, "correctness": 1.84, "helpfulness": 2, "instruction-following": 2.53, "safety": 5.63, "verbosity": 1.12, "verbosity-coeff": -0.2461 }

[ { "content": "Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 24 white marbles. How many red marbles could be in bag A?\n\n['A)1', 'B)3', 'C)4', 'D)6', 'E)8']", "role": "user", "uuid": "ae6648d7-6938-4a8b-ae3c-21599595ea00" }, { "content": "6 is the answer.\nBag A-\nR:W:B = 2:6:9\nLet W in bag A be 6K\nBab B -\nR:W = 1:4\nLet W in bag B be 4P\nW = 24 = 6K+4P\n=> K =2, P=3\nTotal Red's in bag A will be 2K = 4\nC", "role": "assistant", "uuid": "9e0c3416-a392-48ea-993a-d0d6e284395d" } ]

{ "coherence": 2.7, "complexity": 1.63, "correctness": 1.99, "helpfulness": 2.14, "instruction-following": 2.55, "safety": 6.22, "verbosity": 0.83, "verbosity-coeff": -0.1883 }

[ { "content": "What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?\n\n['A)263', 'B)500', 'C)367', 'D)368', 'E)339']", "role": "user", "uuid": "50d59cd9-0b55-4daa-b791-3bb2aa951221" }, { "content": "70 = (P*4*7/2)/100\nP = 500\nAnswer: B", "role": "assistant", "uuid": "c9f9d165-aa73-4f47-9a1e-e2a747be45ac" } ]

{ "coherence": 2.86, "complexity": 1.31, "correctness": 2.35, "helpfulness": 2.62, "instruction-following": 3.78, "safety": 5.05, "verbosity": 0.68, "verbosity-coeff": -0.117 }

[ { "content": "Each month a retailer sells 100 identical items. On each item he makes a profit of $50 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?\n\n['A)191', 'B)213', 'C)221', 'D)223', 'E)226']", "role": "user", "uuid": "14a8bb20-8233-4ff0-8445-f9e0dc7a392b" }, { "content": "For this question, we'll need the following formula:\nSell Price = Cost + Profit\nWe're told that the profit on 1 item is $20 and that this represents 10% of the cost:\nSell Price = Cost + $50\nSell Price = $500 + $50\nThus, the Sell Price is $550 for each item. Selling all 100 items gives the retailer...\n100($50) = $2,000 of profit\nIf the retailer offers a 5% discount on the sell price, then the equation changes...\n5%(550) = $27.5 discount\n$522.5 = $500 + $22.5\nNow, the retailer makes a profit of just $22.5 per item sold.\nTo earn $2,000 in profit, the retailer must sell....\n$22.5(X) = $2,000\nX = 2,000/22.5\nX = 222.222222 items\nYou'll notice that this is not among the answer choices.... 221 and 223 are.\nSelling 221 items would get us 9(221) = $1989 which is NOT enough money. To get back to AT LEAST $2,000, we need to sell 223 items.\nFinal Answer:\nD", "role": "assistant", "uuid": "b1370d84-f910-4638-952d-c410c741a79e" } ]

{ "coherence": 2.43, "complexity": 1.39, "correctness": 1.76, "helpfulness": 1.66, "instruction-following": 2.39, "safety": 4.32, "verbosity": 1.48, "verbosity-coeff": -0.231 }

[ { "content": "A train 640 meters long is running with a speed of 64 kmph. The time taken by it to cross a tunnel 140 meters long is?\n\n['A)44 sec', 'B)49 sec', 'C)48 sec', 'D)16 sec', 'E)17 sec']", "role": "user", "uuid": "6df5d1e1-8659-43eb-b65e-87b211375cef" }, { "content": "D = 640 + 140 = 780\nS = 64 * 5/18 = 17.7 mps\nT = 780/17.7 = 44 sec\nAnswer: A", "role": "assistant", "uuid": "610b742b-b504-455e-8cb9-5a343681b0bf" } ]

{ "coherence": 2.64, "complexity": 1.49, "correctness": 2.37, "helpfulness": 2.62, "instruction-following": 3.82, "safety": 4.85, "verbosity": 1.29, "verbosity-coeff": -0.1002 }

[ { "content": "The area of a square field is 1225 km2. How long will it take for a horse to run around at the speed of 20 km/h ?\n\n['A)7 h', 'B)10 h', 'C)8 h', 'D)6 h', 'E)None of these']", "role": "user", "uuid": "d77b7dda-3c35-4d4b-8aef-d278bd0afb1d" }, { "content": "Explanation Area of field = 1225 km2. Then, each side of field = √1225=35km Distance covered by the horse = Perimeter of square field = 35× 4 = 140 km ∴ Time taken by horse = distances/peed=140/20=7h Answer A", "role": "assistant", "uuid": "adc3f072-2f0b-4959-9a1a-3702afc9d2a2" } ]

{ "coherence": 3, "complexity": 1.77, "correctness": 2.9, "helpfulness": 2.92, "instruction-following": 3.84, "safety": 5.87, "verbosity": 1.41, "verbosity-coeff": -0.1234 }

[ { "content": "John can complete a given task in 18 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 6 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together?\n\n['A)11', 'B)34/5', 'C)44/5', 'D)54/5', 'E)12']", "role": "user", "uuid": "a39eb71e-b332-4c0c-8948-16209f4797ed" }, { "content": "In such questions, you need to start from the end. Last 4 days John works alone and completes 6 * (1/18) = 1/3 of the work.\nSo 2/3 of the work should have been completed by the two of them together before Jane left.\nTheir combined rate of work is 1/18 + 1/12 = 5/36\nTime taken to complete 2/3 of the work = (2/3)/(5/36) = 24/5 days.\nSo total number of days taken to complete the work =24/5 + 6 = 54/5 days.\nD", "role": "assistant", "uuid": "7b9e0d3c-83c3-4777-b3b5-f91b3e94d407" } ]

{ "coherence": 2.53, "complexity": 1.28, "correctness": 2.06, "helpfulness": 2.2, "instruction-following": 3.02, "safety": 5.09, "verbosity": 1.13, "verbosity-coeff": -0.1212 }

[ { "content": "1, 9, 17, 33, 49, 73, ?\n\n['A)89', 'B)69', 'C)97', 'D)88', 'E)60']", "role": "user", "uuid": "e64792e4-f52e-4c80-b722-aa2d37f8e3b1" }, { "content": "C\n97\nThe pattern is + 8, + 8, + 16, + 24,...", "role": "assistant", "uuid": "a4ac4545-f09d-4eec-866c-ffa1000b7971" } ]

{ "coherence": 2.78, "complexity": 1.2, "correctness": 2.39, "helpfulness": 2.53, "instruction-following": 2.74, "safety": 3.07, "verbosity": 0.6, "verbosity-coeff": -0.0851 }

[ { "content": "LCM of 2/7,3/14 and 5/3is\n\n['A)45', 'B)35', 'C)30', 'D)25', 'E)None']", "role": "user", "uuid": "5c636cbc-3f39-400a-b79e-78304129ba8d" }, { "content": "Explanation:\nLCM of numerators /HCF of denominators= LCM of 2, 3, 5/HCFof7,14,3 = 30/1=30\nCorrect Option: C", "role": "assistant", "uuid": "af411cf9-7fa5-4161-b8b4-e952fbd254fe" } ]

{ "coherence": 2.78, "complexity": 1.72, "correctness": 2.45, "helpfulness": 2.59, "instruction-following": 3.11, "safety": 5.98, "verbosity": 0.76, "verbosity-coeff": -0.0949 }

[ { "content": "A, B and C invested Rs. 27000/-, Rs. 35000/- and Rs. 14000/- respectively in a business. At theend of year, they earn a profit of Rs 5320/-. B’s share of profit is:\n\n['A)Rs. 2540/-', 'B)Rs. 2450/-', 'C)Rs. 2045/-', 'D)Rs. 2504/-', 'E)None of these']", "role": "user", "uuid": "5b198ace-e509-45a6-99bd-4011dc310ab8" }, { "content": "Explanation:\nA : B : C = 27000 : 35000 : 14000 = 27 : 35 : 14\nB’s Share = Rs. (5320 * 35/76)\n= Rs. (140 * 35/2)\n= Rs. (70 * 35) = Rs 2450/-\nAnswer: Option B", "role": "assistant", "uuid": "774cd4f6-c3f8-4772-bce5-0894f180ddcd" } ]

{ "coherence": 2.86, "complexity": 0.67, "correctness": 2.47, "helpfulness": 2.84, "instruction-following": 3.35, "safety": 3.97, "verbosity": 0.67, "verbosity-coeff": -0.1189 }

[ { "content": "An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 40.5 meters. How many times did the ball bounce?\n\n['A)3', 'B)6', 'C)7', 'D)8', 'E)9']", "role": "user", "uuid": "2e666af8-fee9-4165-be8a-5c9e7d1a1a27" }, { "content": "Division of total distance travelled will be 16+16+8+0.5\nAns:A", "role": "assistant", "uuid": "4cc99901-00ba-491d-aaca-cb201c2a21ce" } ]

{ "coherence": 2.39, "complexity": 1.26, "correctness": 1.79, "helpfulness": 1.8, "instruction-following": 2.06, "safety": 5.01, "verbosity": 0.82, "verbosity-coeff": -0.2044 }