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mathematics | Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temparature of the particular day is 35°C , it is equal to : | [
"85°F",
"95°F",
"96°F",
"97°F",
"None of these"
]
| Explanation:
Let F and C denotes the temparature in Fahrenheit anid Celcsius respectively.
Then, (F - 32) /(212 - 32) = (C - 0)/(100 - 0), if c = 35, then F = 95.
Answer: B
The answer is: B | B |
mathematics | A certain school implemented a reading program for its students, with the goal of getting each student to read 7 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year? | [
"20cs",
"cs/2",
"84cs",
"(2cs)/12",
"(24c)/s"
]
| Ans: C
Solution: simple multiplication s students , c classes , 7 books/ month= 84 books a year
total number of books = 84cs
The answer is: C | C |
mathematics | In a garden, there are three blue flowers, three red flowers, three green flowers, and three pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers? | [
"11/10",
"1/55",
"31/10",
"3/55",
"1/16"
]
| Total number of ways to pick 3 flowers out of 12 = 12c3
12c3=12!/9!∗3!=220
Total number of favorable outcomes = 4
(Only 3 flowers per colour, so there is only one way all three flowers of any particular colour can be chosen. 4 colours mean 4 favorable outcomes)
Probability = 4/220=1/55
Answer: B
The answer is: B | B |
mathematics | An uneducated retailer marks all his goods at 65% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales? | [
"12.50 %",
"13.50 %",
"14 %",
"23.75%",
"None"
]
| Sol.
Let C.P. = Rs. 100. Then, marked price = Rs. 165.
S.P. = 75% of Rs. 165 = Rs. 123.75.
∴ Gain% = 23.75%.
Answer D
The answer is: D | D |
mathematics | In store A there are 50 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned? | [
"3:16.",
"2:3.",
"5:3.",
"3:4.",
"2:5."
]
| 1st statement : ratio of pants
Store A : Store B
50x : 40x
5X:4X
Price :
4y:3y
Total revenue
20xy : 12xy
5:3
Answer is C
The answer is: C | C |
mathematics | What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years? | [
"64.19",
"64.12",
"62.1",
"64.1",
"64.11"
]
| S.I. = (1000 * 10 * 4)/100 = Rs. 400
C.I. = [1000 * (1 + 10/100)4 - 1000] = Rs. 464.10 Difference = (464.10 - 400) = Rs. 64.10
Answer: D
The answer is: D | D |
mathematics | 220% of a number X is 44. What is 44% of X. | [
"8.8",
"8.9",
"6.6",
"7.7",
"None"
]
| Solution: Given,
220% of X = 44
Or, X = 20.
Thus,
44% of 20
= (44 *20) /100
= 8.8
Answer: Option A
The answer is: A | A |
mathematics | If y is the smallest positive integer such that 7350 multiplied by y is the square of an integer, then y must be | [
"2",
"5",
"6",
"7",
"14"
]
| i just tried plugging in the numbers and found out that
6*7350 = 44, 100, which is a square of 210
C
The answer is: C | C |
mathematics | A bookseller has two display windows. She plans to display 3 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows? | [
"24",
"72",
"144",
"36",
"420"
]
| The left window will have permutations of the 3 fiction books, so the number of possibilities for that window is
permutations = 3! = (3)(2)(1) = 6
The right window will have permutations of the 3 non-fiction books, so the number of possibilities for that window is
permutations = 3! = (3)(2)(1) = 6
Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 6*6 = 36
Answer: D.
The answer is: D | D |
mathematics | A train left station X at A hour B minutes. It reached station Y at B hour C minutes on the same day, after travelling C hours A minutes (clock shows time from 0 hours to 24 hours). Number of possible value(s) of A is: | [
"0",
"1",
"2",
"3",
"4"
]
| Let's try to get hours and minutes values separately..
Starting time + time taken = Reaching time..
A hours + C hours = B hours -------- (i)
A, C and B cannot have values greater than or equal to 24
B minutes + A minutes = C minutes -------- (ii)
Looking at the two equations, we get that no value of A satisfies both the equations.
Hence, option A
The answer is: A | A |
mathematics | The pilot of a small aircraft uses 60 gallons of fuel to fly 300 miles. At this rate, how many gallons of fuel are needed for a 700 mile flight? | [
"140",
"155",
"160",
"170",
"175"
]
| Number of gallons of fuel per mile = 300 /60 = 5 gallons per mile
Number of gallons of fuel for a 700 mile flight = 700/5 = 140
ANSWER:A
The answer is: A | A |
mathematics | A train running at the speed of 72 km/hr crosses a pole in 9 sec. What is the length of the train? | [
"288",
"279",
"277",
"272",
"180"
]
| Speed = 72 * 5/18 = 20 m/sec
Length of the train = speed * time = 20 * 9
= 180 m
Answer: E
The answer is: E | E |
mathematics | If c persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job? | [
"z",
"x",
"x/y",
"z/x",
"y/z"
]
| the Q doesn't seem to be having the any correct answer as a choice..
since we are looking for days, lets keep days in end and work out a solution..
c person can do z jobs in y days..
so c person can do 1 job in y/z days..
and 1 person can do 1 job in y^2/z days..
so y person can complete 1 job in y^2/zy=y/z..
so the answer should be y/z=E
The answer is: E | E |
mathematics | Today is Monday. After 61 days, it will be : | [
"Thursday",
"Saturday",
"Monday",
"Sunday",
"Wednesday"
]
| Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
Answer is B.
The answer is: B | B |
mathematics | A shopkeeper sold an book offering a discount of 5% and earned a profit of 33%. What would have been the percentage of profit earned if no discount was offered? | [
"140",
"120",
"130",
"110",
"150"
]
| Let C.P. be $100.
Then, S.P. = $133
Let marked price be $x. Then, 95/100 x = 133
x = 13300/95 = $140
Now, S.P. = $140, C.P. = $100
Profit % = 40%.
A
The answer is: A | A |
mathematics | Tomy's age 14 years hence will be thrice his age four years ago. Find Tomy's present age? | [
"12 years",
"13 years",
"15 years",
"17 years",
"18 years"
]
| Let MTomy's present age be 'x' years.
x+ 14 = 3(x- 4)
=> 2x = 26 => x = 13 years.
B
The answer is: B | B |
mathematics | If 7 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes? | [
"7 × 6 × 5 × 4 × 3 × 2 × 1",
"7 × 6 × 5 × 4 × 3 × 2 × 1",
"7 x 8",
"21",
"45"
]
| 1st person will have 6 handshakes, 2nd will have 5, ....6th will have 1 and 7th will have 0
= 6+5+4+3+2+1 = 21
if we generalize this: if there are n people then there will be n(n-1)/2 handshakes.
Ans.D)
The answer is: D | D |
mathematics | A pump can fill a tank with water in 3 hours. Because of a leak, it took 3 1/3 hours to fill the tank. The leak can drain all the water of the tank in? | [
"17 hr",
"19 hr",
"30 hr",
"14 hr",
"16 hr"
]
| Work done by the tank in 1 hour
= (1/3 - 3 1/3)
= 1/30 Leak will empty the tank in 30 hrs.
Answer:C
The answer is: C | C |
mathematics | In the xy-plane, a line has slope 4 and x-intercept 3. What is the y-intercept of the line? | [
"-12",
"-3",
"0",
"3",
"9"
]
| Let the line be represented by a general equation y=mx+b, where m = slope (4) and b=y intercept. We are also given the value of x-intercept 3.
Theory : y intercept represents the point on the line where the x=0, and x intercept represents the point on the line where the y=0.
Putting these values in the equation : 0 = 4*3 + b => b = -12. Hence A.
The answer is: A | A |
mathematics | 2 trains starting at the same Ɵme from 2 stations 200 km apart and going in opposite direction cross
each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ? | [
"11:9",
"13:9",
"17:9",
"21:9",
"None of these"
]
| Explanation:
We know total distance is 200 Km
If both trains crossed each other at a distance of 110 km then one train covered 110 km and other 90 km
[110+90=200km]
So raƟo of their speed = 110:90 = 11:9
Answer: A
The answer is: A | A |
mathematics | Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes.
How much time will it take Roy to consume all the five tablets? | [
"60 min",
"50 min",
"70 min",
"65 min",
"80 min"
]
| A
60 min
Roy will be able to consume all the five tablets in an hour.
Tablet 1 will be taken in 0 min.
Tablet 2 will be taken in 15 min.
Tablet 3 will be taken in 30 min.
Tablet 4 will be taken in 45 min.
Tablet 5 will be taken in 60 min.
The answer is: A | A |
mathematics | If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 96, what is the value of K? | [
"11",
"15 3/4",
"22",
"35",
"25 3/10"
]
| K + 2K +3 + 3K - 5 + 5K +1 = 11K -1
(11K -1)/4 = 96
11K = 96 * 4 +1 = 384 +1 = 385
K = 385 / 11 = 35.
Answer D.
The answer is: D | D |
mathematics | If 5 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold? | [
"20",
"30",
"36",
"40",
"60"
]
| Let the Capacity of the tank=C
(3/4)C + 5 = (9/10)C
=>(9/10)C - (3/4)C = 5
=>(3/20)C = 5
=>C = (5*20)/3 = 33.33
Number of gallons of gasoline that the tank currently holds = 3/4*C +5 = 24.99+5 = 29.99=30
Answer B
The answer is: B | B |
mathematics | The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office? | [
"3",
"1",
"8",
"9",
"5"
]
| 6 * 22 = 132
7 * 19 = 133
--------------
1
Answer:B
The answer is: B | B |
mathematics | A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is? | [
"3.34",
"3.349",
"3.348",
"3.37",
"3.248"
]
| Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m
Answer: A
The answer is: A | A |
mathematics | Running at the same constant rate, 6 identical machines can produce a total of 390 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes? | [
"648",
"1800",
"2600",
"10800",
"10900"
]
| Let the required number of bottles be x.
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
Machines 6 : 10 :: 390 : x
Time (in minutes) 1 : 4
6 x 1 x x = 10 x 4 x 390
x = (10 x 4 x 390)/(6)
x = 2600.
ANSWER:C
The answer is: C | C |
mathematics | The average age of 8 men is increased by 2 years. When two of them, whose ages are 20 years and 24 years respectively are replaced by two women. What is the average age of these women? | [
"36 years",
"30 years",
"40 years",
"42 years",
"None of these"
]
| Let the average age of 8 men be X years
Thus, Sum of the ages of 8 men = 8X years
Now, according to the condition of the question, average age of (6 men + 2 women) = (x + 2) years
Thus, Sum of the ages of (6 men + 2 women)
= 8(X + 2) = 8X x 16 years
Hence, it is clear that on replacing two men by two women, sum of their ages increased by 16 years.
Therefore, sum of the ages of two women
= (20 + 24) + 16 = 60 years
Thus, average age of the women = 60/2 = 30 years
ANSWER:B
The answer is: B | B |
mathematics | A sum fetched a total simple interest of 4034.25 at the rate of 9 %.p.a. in 5 years. What is the sum? | [
"5768",
"8925",
"8965",
"6474",
"8723"
]
| Principal = (100 x 4034.25)/(9 x 5)
= 403425/45
= 8965.
ANSWER C
The answer is: C | C |
mathematics | A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used? | [
"4",
"5",
"34",
"7",
"9"
]
| 7 * 8 : 9 * x = 8:9 => x= 7
Answer:D
The answer is: D | D |
mathematics | A table is bought for Rs.600/- and sold at a loss of 10% find its selling price | [
"Rs.500/-",
"Rs.530/-",
"Rs.540/-",
"Rs.600/-",
"Rs.700/-"
]
| 100 % ------> 600 (100 * 6 = 600)
90 % ------> 540 (90 * 6 = 540)
Selling price = Rs.540/-
C
The answer is: C | C |
mathematics | A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ? | [
"116 kmph",
"106 kmph",
"186 kmph",
"126 kmph",
"176 kmph"
]
| Explanation:
As we know that Speed = Distance / Time
for average speed = Total Distance / Total Time Taken
Thus, Total Distance = 325 + 470 = 795 km
Thus, Total Speed = 7.5 hrs
Average Speed = 795/7.5 => 106 kmph.
Answer: B
The answer is: B | B |
mathematics | How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 20 m long and 16 1/2 m board? | [
"66",
"18",
"16",
"10",
"15"
]
| 20 * 33/2 = 5/2 * 2 * x => x
= 66
Answer:A
The answer is: A | A |
mathematics | A committee of 5 is to be selected from among 5 boys and 4 girls. I how many ways can this be done if the committee is to consist of at-least one Girl?
what is the answer choice and how? | [
"105",
"225",
"209",
"350",
"455"
]
| I'm sure there is some problem with the question.
R U sure its atleast one boy and not atleast 1 boy and 1 girl?
if its 1 boy and 1 girl
6C1*4C1 + 6C2*4C2 + 6C3*4C3 + 6C4*4C4
6*4 + 15*6 + 20*4 + 15*1
24 + 90 + 80 + 15
209
C
The answer is: C | C |
mathematics | A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train. | [
"15 kmph",
"36 kmph",
"21 kmph",
"17 kmph",
"19 kmph"
]
| Let the speed of the goods train be x kmph.
Distance covered by goods train in 10 hours= Distance covered by express train in 4 hours
10x = 4 x 90 or x =36.
So, speed of goods train = 36kmph.
Ans: B
The answer is: B | B |
mathematics | Two stations A and B are 65 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? | [
"9",
"10",
"11",
"12",
"8"
]
| Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 65
45x = 90
x = 2.
So, they meet at 9 a.m.
Answer: Option A
The answer is: A | A |
mathematics | How many words can be formed by using all letters of the word 'BIHAR' ? | [
"112",
"120",
"157",
"136",
"142"
]
| The word BIHAR contains 5 different letters
Required number of words = 5P5 = 5! = 5*4*3*2*1 = 120
Answer is B
The answer is: B | B |
mathematics | 270 candidates appeared for an examination, of which 252 passed. The pass percentage is : | [
"(93 + 1/9 )%",
"(93 + 1/3 )%",
"(93 + 9/3 )%",
"(94 + 9/3 )%",
"(43 + 1/3 )%"
]
| Answer: B) (93 + 1/3 )%
The answer is: B | B |
mathematics | Find out the C.I on Rs.7000 at 4% p.a. compound half-yearly for 1 1/2 years. | [
"A)Rs.426.45",
"B)Rs.427.45",
"C)Rs.428.45",
"D)Rs.429.45",
"E)Rs.430.45"
]
| A = 7000(51/50)3
= 7428.45
7000
-----------
428.45
ANSWER:C
The answer is: C | C |
mathematics | What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 4? | [
"n/8",
"0.8",
"8",
"18",
"π"
]
| Maximum distance straight line is diameter
d = 2r = 8..
ANS option C.
The answer is: C | C |
mathematics | A retailer set the tag price of an item at $200. On a certain public holiday, the retailer set a 20% discount on the tag price, thinking that he will still make a profit equal to 25% of the price he had originally paid for the item. How much did the retailer originally pay for the item? | [
"$96",
"$120",
"$128",
"$144",
"$160"
]
| Price Tagged : $200
Price after discount = $160 = Original Price + 25% Extra
Original Price = x
So, 1.25 x = 160
or x = 128. Hence, C
The answer is: C | C |
mathematics | Machine–X produces 50% of the total output and Machine-Y produces 75% of the total output. An average of nine units out of a thousand goods manufactured by Machine-X and two unit of 500 units produced by Machine-X prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective? | [
"0.008",
"0.1",
"0.12",
"0.006",
"0.007"
]
| Suppose machine X produce 1000 units
total defective = 9
Machine Y then produces=1500 units
total defective=6
probability=15/2500
=0.006
Answer : D
The answer is: D | D |
mathematics | All the stocks on the over-the-counter market are designated by either a 2 letter or 3 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes? | [
"2(26^5)",
"26(26^4)",
"27(26^2)",
"26(26^5)",
"27(26^5)"
]
| with 2 letters: 26^2
with 3 letters: 26^3
26^2 + 26^3 = 27*(26^2)
C
The answer is: C | C |
mathematics | 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? | [
"388",
"266",
"350",
"112",
"134"
]
| Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x
= 350m.
Answer:C
The answer is: C | C |
mathematics | 3A = 4B = 5C, A : B : C = ? | [
"12:15:22",
"20:15:12",
"15:20:12",
"12:20:15",
"None of these"
]
| Explanation :
Solution: 3A = 4B = 5C,
A : B : C = 1/3 : 1/4 : 1/5
=> 20/60 : 15/60 : 12/60 = 20 : 15 : 12
Answer : B
The answer is: B | B |
mathematics | A train 510 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? | [
"52",
"56",
"41",
"42",
"34"
]
| Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 550 * 2/25 = 52 sec
Answer: Option A
The answer is: A | A |
mathematics | In 30 years, A will be twice as old as B was 30 years ago. If A is now 5 years older than B, the present age of B is? | [
"85yrs",
"95yrs",
"93yrs",
"82yrs",
"90yrs"
]
| Let B's present age = x years
Then A's present age = x+5 years
x+5+30 = 2(x-30)
x + 35 = 2x - 60
x = 95years
Answer is B
The answer is: B | B |
mathematics | 60% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim? | [
"70",
"97",
"80",
"90",
"76"
]
| Given, 60% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.
Given, marks of Robert = 80
30% of 80 = 30/100 * 8 = 24
Given, 60% of Ram's marks = 24.
=> Ram's marks = (24 * 100)/60 = 40
Also, 20% of Rahim's marks = 24
=> Rahim's marks = (24 * 100)/20 = 120
Average marks of Ram and Rahim = (40 + 120)/2 = 80.
Answer:C
The answer is: C | C |
mathematics | A company D has 30 percent of the employees are secretaries and 45 percent are salespeople. If there are 50 other employees of Company D, how many employees does Company D have? | [
"200",
"162",
"180",
"152",
"250"
]
| Let the total number of employees in the company be x
% of secretaries = 30%
% of salespeople = 45%
% of of employees other than secretaries and salespeople = 100 - 75 = 25%
But this number is given as 50
so 25% of x = 50
x = 200
Therefore there a total of 200 employees in the company D
Correct answer - A
The answer is: A | A |
mathematics | 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? | [
"Rs. 4800",
"Rs. 3600",
"Rs. 3560",
"Rs. 4530",
"None of these"
]
| Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 5 = Rs. 4530
ANSWER:D
The answer is: D | D |
mathematics | This year, MBB Consulting fired 9% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction? | [
"98.5%",
"100.1%",
"102.8%",
"104.5%",
"105.0%"
]
| 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000
9% reduction in employees lead to 91 employees and a salary increase of 10% of previous avg salary
Thus the new avg salary is = 10%(1000)+1000 = 1100
so total salary of 91 employees is 91*1100 = 100100
Now the new salary is more than previous salary by x%. x = (100100/100000)*100 = 100.1%
So the Answer is B
The answer is: B | B |
mathematics | The probability that a number selected at random from the first 50 natural numbers is a composite number is? | [
"17/29",
"17/21",
"17/22",
"17/29",
"17/25"
]
| The number of exhaustive events = 50C1 = 50.
We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Required probability = 34/50
= 17/25.
Answer: E
The answer is: E | E |
mathematics | A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? | [
"150",
"878",
"277",
"992",
"187"
]
| Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A
The answer is: A | A |
mathematics | An investment R gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ? | [
"$9,360",
"$9,100",
"$8,250",
"$7,300",
"$7,150"
]
| Answer is D : 7,300
An investment R gained an interest payment of $250 each month when the annual interest rate was 8%,Interest per annum with 8% interest rate is = 250* 12 = Principal * Interest Rate(8/100)
This gives Principal as 37,500$
For an revised interest of 12% more and new interest rate of 7.5% , ie. 250* 12 * 1.12 = Principal * Interest Rate (7.5/100)
This gives the new Principal as 44,800.
The question is how much more should we invest, so 44,800 - 37,500 = 7,300.D
The answer is: D | D |
mathematics | From the word 'HEARTLESS', how many independent words can be made with-out changing the order of the letters and using each letter only once ? | [
"5",
"8",
"3",
"2",
"9"
]
| Explanation:
The words formed are
HE, ART, LESS, HEART and EAR
Answer: A) 5
The answer is: A | A |
mathematics | How many numbers between 1 and 100 are divisible by 7 ? | [
"9",
"11",
"17",
"14",
"12"
]
| No. of divisible by 7 7, 14 --------- 98, n = a + (N - 1)d
98 = 7 + (N - 1) 7, 98 = 7 + 7N - 7
98/7= N = 14
Answer:D
The answer is: D | D |
mathematics | A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If k and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of k and n? | [
"-200",
"-130",
"-104",
"51",
"305"
]
| 2 standard deviations from the average is from mean - 2*SDtomean + 2*SD, thus from 50-2*50.5=51 to 50+2*50.5=151:
-51 < k < 151
-51 < n < 151
-102 < k+n < 302.
Only option D is in this range.
Answer: D.
The answer is: D | D |
mathematics | What will be the fraction of 10% | [
"1/4",
"1/5",
"1/10",
"1/8",
"None of above"
]
| Explanation:
It will 10*1/100 = 1/10
Answer: Option C
The answer is: C | C |
mathematics | The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 200 terms of the sequence? | [
"201/100",
"99/100",
"100/101",
"1/10000",
"200/201"
]
| Easy task and accomplish
X1=1-1/2
x2=1/2-1/3
x3=1/3-1/4
.....
x199=1/199-1/200
x200=1/200-1/201
sum=X1+X2+X3+....X200=1-1/2+1/2-1/3+.......1/199-1/200+1/200-1/201=1-1/201=200/201
E is the answer
The answer is: E | E |
mathematics | 140 is what percent of 40? | [
"5%",
"20%",
"50%",
"350%",
"500%"
]
| 40*x=140 --> x=3.5 --> 3.5 expressed as percent is 350%.
Answer: D.
The answer is: D | D |
mathematics | An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 1/2 %, then the amount invested at 11% was? | [
"23777",
"25000",
"29977",
"26777",
"19871"
]
| Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x). Then,
(x * 9 * 1)/100 + [(100000 - x) * 11 * 1]/100 = (100000 * 19/2 * 1/100)
(9x + 1100000 - 11x) = 950000
x =75000
Sum invested at 9% = Rs. 75000
Sum invested at 11% = Rs. (100000 - 75000) = Rs. 25000.
Answer: B
The answer is: B | B |
mathematics | A product when sold with 10% rebate on the listed price gave a profit of Rs.70. What was its cost price? | [
"Rs. 200",
"Rs. 250",
"Rs. 300",
"Cannot be determined",
"None"
]
| Solution
Since the marked price is not given, so the cost price cannot be determined.
Answer D
The answer is: D | D |
mathematics | Two whole numbers whose sum is 24 is the ratio | [
"1:3",
"2:8",
"1:6",
"2:3",
"2:5"
]
| A) 1:3
The answer is: A | A |
mathematics | The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres? | [
"40",
"45",
"125",
"Data inadequate",
"None of these"
]
| Explanation:
Let breadth = x metres.
Then, length = (x + 20) metres.
Perimeter = 5300/26.50m = 200 m
2[(x + 20) + x] = 200
2x + 20 = 100
2x = 80
x = 40.
Hence, length = x + 20 = 60 m.
Answer: E
The answer is: E | E |
mathematics | Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1215 as rent for parking his cars, what is the total rent paid by all the four agencies? | [
"6642",
"2778",
"1279",
"6150",
"2771"
]
| The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1215
45k = 1215 => k = 27
246k = 246(27) = Rs. 6642
Thus the total rent paid by all the four agencies is Rs. 6642.
Answer: A
The answer is: A | A |
mathematics | In how many different ways can the letters of the word ‘CAN’ be arranged? | [
"6",
"12",
"8",
"2",
"4"
]
| A
6
The word SMART has 3 distinct letters.
Number of arrangements = 3!
= 3 × 2 × 1 = 6
The answer is: A | A |
mathematics | How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? | [
"3488",
"37799",
"6400",
"2777",
"2911"
]
| Explanation:
Number of bricks \frac{800\times 600\times 22.5}{25\times 11.25\times 6} = 6400
Answer: C) 6400
The answer is: C | C |
mathematics | How many numbers between 200 and 500 begin or end with 3? | [
"20",
"60",
"100",
"110",
"120"
]
| How many numbers between 200 and 500 begin or end with 3?
Just think that those numbers are:
i) The ones ending in 3: 203, 213, 223, ... , 493 --> 30 numbers
ii) The ones beginning in 3: 300, 301, 302, 303, ... , 393, ... , 399 --> 100 numbers
BUT 10 out of the first 30 numbers are repeated in the second set.
THEREFORE, the solution is 120 numbers.
Answer: E
The answer is: E | E |
mathematics | A and B start walking towards each other at 5am at speed of 4kmph and 8kmph. They were initially 36km apart. At what time do they meet? | [
"8am",
"6am",
"7am",
"10am",
"8pm"
]
| Time of meeting = distance / relative speed = 36/8 + 4 = 36/12 = 3 hrs after 5am = 8am
Answer is A
The answer is: A | A |
mathematics | What is the remainder when 81+82+83……+815 is divided by 6 | [
"0",
"1",
"2",
"4",
"5"
]
| Thus odd powers will have remainder 2 ; and even powers will have remainder 4
Now, 81+82+83……+81581+82+83……+815 will have the following powers -
Odd = 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 ( 8 odd powers ) ; Sum of remainder = 16
Even Powers = 2, 4 , 6 , 8 , 10 , 12 , 14 ( 7 even Powers ) ; Sum of remainder = 28
Total sum of remainder = 44
44/6 = Remainder 2
Hence correct answer will be (C) 2....
The answer is: C | C |
mathematics | Look at this series: 15, 15, 27, 27, 39, 39, 51, 51, ... What number should fill the blank? | [
"51",
"39",
"63",
"15",
"None"
]
| Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.
Answer: Option C
The answer is: C | C |
mathematics | Which of the following could be the value of x, if |14x – 56| = 196? | [
"-14",
"-18",
"-10",
"10",
"1/4"
]
| |14x – 56| = 196
=> 14x - 56 = 196
or 14x - 56 = -196
=> 14x = 252 or 14x = -140
=> x = 18 or x = -10
Answer C
The answer is: C | C |
mathematics | A glass was filled with 15 ounces of water, and 0.05 ounce of the water evaporated each day during a 15-day period. What percent of the original amount of water evaporated during this period? | [
"0.005%",
"0.05%",
"0.5%",
"5%",
"25%"
]
| In 15 days 15*0.05=0.75 ounces of water evaporated, which is 0.75/15∗100=5 of the original amount of water.
Answer: D.
The answer is: D | D |
mathematics | pow(1000,9) ÷ pow(10,24) = ? | [
"10000",
"1000",
"100",
"10",
"None of these"
]
| Given Exp. = pow(1000,9) = pow(pow(10,3),9) = pow(10,27) = pow(10, (27-24)) = pow(10,3) = 1000
Answer B
The answer is: B | B |
mathematics | In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number? | [
"975",
"753",
"642",
"684",
"None of these"
]
| Let the three digit numbers be 100a + 10b + c
a = b + 2
c = b - 2
a + b + c = 3b = 18 => b = 6
So a = 8 and b = 4
Hence the three digit number is: 864
ANSWER:E
The answer is: E | E |
mathematics | 3 men or 9 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work? | [
"2 days",
"3 days",
"4 days",
"5 days",
"6 days"
]
| 3M = 9W ---- 20 days
12M + 8W -----?
36W + 8 W = 44W ---?
9W ---- 20 44W -----?
9 * 20 = 44 * x => x = 4 days
ANSWER:C
The answer is: C | C |
mathematics | 4/6 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is | [
"28%",
"41%",
"45%",
"64%",
"78%"
]
| Total population = 60 (assume).
4/6*60=40 people from Montague.
2/6*60=20 people from Capulet.
0.2*40=8 people from Montague support Juliet.
0.7*20=14 people from Capulet support Juliet.
The probability that a Juliet supporter chosen at random resides in Capulet is 14/(8+14)=~64.
Answer: D
The answer is: D | D |
mathematics | Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? | [
"4 years",
"8 years",
"2 years",
"4 years",
"6 years"
]
| Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
Required difference = (42 - 36) years = 6 years.
ANSWER E
The answer is: E | E |
mathematics | A train passes a station platform in 27 seconds and a man standing on the platform in 16 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? | [
"299",
"165",
"170",
"185",
"112"
]
| Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 16) m = 240 m.
Let the length of the platform be x meters.
Then, x + 240 / 27 = 15
x + 240 = 405
x = 165 m.
Answer:B
The answer is: B | B |
mathematics | A sum is divided among W, X and Y in such a way that for each rupee W gets, X gets 30 paisa and Y gets 20 paisa. If the share of W is RS. 10, what is the total amount? | [
"12",
"13",
"14",
"15",
"16"
]
| w:x:y = 100:30:20
20:6:4
20 --- 10
30 --- ? => 15
Answer:D
The answer is: D | D |
mathematics | The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 80 percent of b, what is the value of m/x? | [
"1/5",
"3/4",
"4/5",
"5/4",
"3/2"
]
| a/b = 4/5
m/x = (1/5)*5 / (5/4)*4 = 1/5
The answer is A.
The answer is: A | A |
mathematics | In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 5 boys when a boy gets any no. of prizes? | [
"55",
"58",
"25",
"65",
"70"
]
| Ans.(C)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (5x5) ways = 52 ways = 25 ways Or nr ways = 52 ways = 25 ways
The answer is: C | C |
mathematics | In a caravan, in addition to 60 hens, there are 35 goats and 6 camels with some keepers. If the total number of feet be 193 more than the number of heads in the caravan, the number of keepers is | [
"5",
"10",
"15",
"20",
"25"
]
| Explanation: Let number of keepers be x. Then, Total number of feet = 2 x 60 + 4 x 35 + 4 x 6 + 2x = 2x + 284. Total number of heads = 60 + 35 + 6 + x= 101 + x. Therefore (2x + 284) = (101 + x) + 193 or x = 10. Answer: B
The answer is: B | B |
mathematics | A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train? | [
"767 kmph",
"55 kmph",
"54 kmph",
"33 kmph",
"37 kmph"
]
| D = 100 + 125 = 225
T = 15
S = 225/15 * 18/5 = 54 kmph
Answer: C
The answer is: C | C |
mathematics | A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is one-half of the distance traveled by bus. If he traveled by train, plane and bus, how many kilometers did he travel by bus? | [
"700",
"800",
"900",
"1000",
"1100"
]
| total distance traveled = 1800 km.
distance traveled by plane = 600 km.
distance traveled by bus = x
distance traveled by train = x/2
x + x/2 + 600 = 1800
3x/2 = 1200
x = 800 km
The answer is B.
The answer is: B | B |
mathematics | Coins are to be put into 12 pockets so that each pocket contains at least one coin. At most 8 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets? | [
"7",
"13",
"17",
"22",
"28"
]
| Since at most 3 of the pockets are to contain the same number of coins then minimize # of coins in each, so let each contain just 1 coin;
Next, we are told that no two of the remaining 4 pockets should contain an equal number of coins, so they should contain 2, 3, 4, and 5 coins each (also minimum possible);
Total: 1+1+1+1+1+1+1+1+2+3+4+5=22
Answer: D.
The answer is: D | D |
mathematics | Fresh grapes contain 65% by weight while dried grapes contain 10% water by weight. What is the weight of dry grapes available from 400 kg of fresh grapes? | [
"105.00 kg",
"115.60 kg",
"125.00 kg",
"130.50 kg",
"155.55 kg"
]
| From the question we know: 400kg * 65% = 260kg of water in the fresh grapes
400kg - 260kg of water = 140kg of non-water mass
We are looking for the weight of the dry grapes (X).
Since the question tells us that 10% of the weight of the dry graps is water and we know that 140kg is non-water mass we can set up the following equation:
X = 1/10(X) + 140kg
9/10(X) = 140kg
X = 155.55 kg
Answer- E
The answer is: E | E |
mathematics | Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill? | [
"A)1/8",
"B)1/3",
"C)1/9",
"D)1/2",
"E)1/4"
]
| 1/10 + 1/15 = 1/6 * 4 = 2/3
1 - 2/3 = 1/3
1/10 + 1/15 - 1/x = 1/3
x = 8
Answer:B
The answer is: B | B |
mathematics | A man can row upstream at 25 kmph and downstream at 45 kmph, and then find the speed of the man in still water? | [
"86",
"67",
"35",
"15",
"17"
]
| US = 25
DS = 45
M = (45 + 25)/2
= 35
Answer: C
The answer is: C | C |
mathematics | Which of the following can be expressed as a terminating decimal? | [
"1/25 + 1/35",
"1/225 + 1/1,250",
"1/11,000 + 1/13,000",
"1/75 + 1/35",
"1/125 + 1/8"
]
| In such questions, it is always easier to find an answer instead of eliminating choices. Let us start with the simplest ones first.
A. 1/25 + 1/35 = 12/175 = 12/25*1/7
1/7 does is not a terminating decimal.
E. 1/125 + 1/8 = 8 + 125/ 1000 = 133/1000
This is a terminating decimal and our answer.
Correct Option: E
The answer is: E | E |
mathematics | How many 5 digit number contain number 3 ? | [
"31512",
"32512",
"33512",
"34512",
"37512"
]
| total 5 digit no. = 9*10*10*10* 10 = 90000
not containing 3 = 8*9*9*9*9 = 52488
total 5 digit number contain 3 = 90000 - 52488 = 37512
ANSWER:E
The answer is: E | E |
mathematics | Using all the letters of the word "NOKIAS", how many words can be formed, which begin with N and end with A? | [
"8",
"24",
"9",
"3",
"1"
]
| There are five letters in the given word.
Consider 6 blanks ....
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 4! ways.
The number of words = 4! = 24.
Answer:B
The answer is: B | B |
mathematics | Joe drives 180 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour? | [
"42",
"50",
"50",
"54",
"56"
]
| t1= 180/60=3 hours
t2=120/40=3 hours
T=t1+t2=6 hours
Avg speed = Total Distance/T
= 300/6 = 50mph=B
The answer is: B | B |
mathematics | Find the average of all the numbers between 6 and 38 which are divisible by 4. | [
"18",
"22",
"20",
"30",
"28"
]
| Solution
Average = ((8+12+16+20+24+28+32+36)/8)
= 186 / 7
= 22
Answer B
The answer is: B | B |
mathematics | A batsman in his 12th innings makes a score of 48 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’? | [
"26",
"43",
"44",
"45",
"46"
]
| Let ‘x’ be the average score after 12 th innings
⇒ 12x = 11 × (x – 2) + 48
∴ x = 26
Answer A
The answer is: A | A |
mathematics | A committee of 5 people is to be selected from 7 people. How many different committees are possible? | [
"21",
"40",
"56",
"D.168",
"336"
]
| Because the order does not matter in selecting 5 people for the committee, this is a combination question.
The number of ways to select 5 people from 7 = 7C5 = 7!/5!*2! = 21. Hence A
The answer is: A | A |
mathematics | A courtyard is 25 meter long and 18 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is? | [
"22877",
"27778",
"20000",
"22500",
"17799"
]
| Number of bricks =Courtyard area/1 brick area
=(2500×1800/20×10)=22500
Answer: D
The answer is: D | D |
mathematics | A certain car uses 12 gallons of gasoline in traveling 180 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased? | [
"2",
"3",
"6",
"8",
"10"
]
| 180/10 = 18. The difference is 18 - 15 = 3.
Answer B
The answer is: B | B |
mathematics | A student needs 30% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 40 marks, find the maximum marks set for the test. | [
"400",
"500",
"600",
"700",
"800"
]
| 30% = 120 marks
1% = 4 marks
100% = 400 marks
The answer is A.
The answer is: A | A |
mathematics | A juice drink contains 6% of the recommended daily amount of vitamin A. If the juice drink contains 3 units of vitamin A, how many units of vitamin A are recommended daily? | [
"70",
"50",
"60",
"56",
"66"
]
| 6% of the recommended amount of vitamin A is 3 units.
If the total number of units recommended is X then
6/100 = 3/X
100/6 * 3 = X
300/6 = X
50 = X
B)
The answer is: B | B |
mathematics | he average weight of 6 persons 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 ? | [
"75 kg",
"55 kg",
"45 kg",
"80 kg",
"25 kg"
]
| Explanation:
Total weight increased = (6 x 2.5) kg = 15 kg.
Weight of new person = (65 + 15) kg = 80 kg.
Answer: D
The answer is: D | D |
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