subject
stringclasses 1
value | question
stringlengths 3
1.14k
| options
listlengths 5
5
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stringlengths 18
3.7k
| answer
stringclasses 5
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|---|---|---|---|---|
mathematics
|
Dan's age after 18 years will be 8 times his age 3 years ago. What is the present age of Dan?
|
[
"4",
"6",
"8",
"10",
"12"
] |
Let Dan's present age be x.
x+18 = 8(x-3)
7x = 42
x = 6
The answer is B.
The answer is: B
|
B
|
mathematics
|
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car?
|
[
"22",
"28",
"120",
"287",
"278"
] |
Let speed of the car = x kmphThen speed of the train = (100+50)100x=150100x=32x kmphTime taken by the car to travel from A to B=75x hoursTime taken by the train to travel from A to B=75(32x)+12.560 hoursSince Both start from A at the same time and reach point B at the same time75x=75(32x)+12.56025x=12.560x=25×6012.5=2×60=120
Answer : C
The answer is: C
|
C
|
mathematics
|
In a hockey team of 11 members, the captain's age is 26 years old and the goalkeeper is 3 years older If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
|
[
"23 years",
"24 years",
"25 years",
"27 years",
"29 years"
] |
Explanation :
Let the average age of the whole team be x years.
11x - (26 + 29) = 9(x - 1)
11x - 9x = 46
2x = 46
x = 23
So, average age of the team is 23 years.
Answer : A
The answer is: A
|
A
|
mathematics
|
A shopkeeper sold an article at $100 with 20% profit. Then find its cost price?
|
[
"$120",
"$100",
"$91",
"$83",
"$69"
] |
cost price = selling price *100/(100+profit)
C.P. = 100*100/120 = $83(approximately)
Answer is D
The answer is: D
|
D
|
mathematics
|
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
|
[
"200",
"400",
"378",
"883",
"732"
] |
441 = P(21/20)2
P = 400
Answer: B
The answer is: B
|
B
|
mathematics
|
Of the 500 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
|
[
"65",
"100",
"115",
"130",
"325"
] |
300 prefer X (Group 1);
200 prefer Y (Group 2).
City Y needs 375 people: letall 200 who prefer Y (entire Group 2) be relocated there, the rest 175 will be those who prefer X from Group 1;
City X needs 125 people: 300-175=125 from Group 1 will be relocated to X, which they prefer.
So, the highest possible number of employees who will be relocated to the city they prefer is 200+125=325.
Answer: E.
The answer is: E
|
E
|
mathematics
|
A part of certain sum of money is invested at 10% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
|
[
"4:2",
"4:8",
"4:3",
"4:0",
"6:5"
] |
12:10
= 6:5
Answer: E
The answer is: E
|
E
|
mathematics
|
A numberais squared and then multiplied by negative 3. The result of this operation Q is equal to three times the sum of three timesaand two. What is one possible value ofa?
|
[
"-3",
"-2",
"1",
"2",
"3"
] |
Q=-3*a^2=3(3a+2)
a= -2 or -1
a=-2=B
The answer is: B
|
B
|
mathematics
|
(X)+4671+6514-7687=19190. Calculate the value of X
|
[
"15615",
"15692",
"15687",
"15112",
"15690"
] |
x+4671+6514-7687=19190
=x+4671+6514=19190+7687
=x+11185=26877
=x=26877-11185
=15692
Answer is B
The answer is: B
|
B
|
mathematics
|
A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony?
|
[
"20kmph",
"22kmph",
"24kmph",
"26kmph",
"28kmph"
] |
pony take 7 hours and horse take 4 hours...then Distance chased by them is 35*4.so speed of pony is (35*4)/7=20kmph.
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If the average of 55, 48, 507, 2, 684 and y is 223, then what is y?
|
[
"701",
"120",
"42",
"868",
"1"
] |
y=42, because:
(55+48+507+2+684+y)/6 = 223
(55+48+507+2+684+y)/6 *6 = 223*6
(55+48+507+2+684+y)-1296= 1338-1296
y=42
So the correct answer is C, 42.
The answer is: C
|
C
|
mathematics
|
Find the simple interest on Rs.580 for 11 months at 9 paisa per month?
|
[
"574",
"270",
"566",
"266",
"121"
] |
I = (580*11*9)/100 = 574
Answer: A
The answer is: A
|
A
|
mathematics
|
Find the invalid no.from the following series 15, 16, 34, 105, 424, 2123, 12756
|
[
"16",
"34",
"105",
"424",
"2123"
] |
2nd term = (1st term) * 1 + 1 = 15 *1 + 1 = 16.
3rd term = (2nd term) * 2 + 2 = 16 * 2 + 2 = 34
4th term = (3th term) *3 + 3 = 34 * 3 + 3 = 105
5th term = (4th term) * 4 + 4 = 105 * 4 + 4 = 424
6th term = (5th term) * 5 + 5 = 424 * 5 + 5 = 2125
6th term should 2125 instead of 2123.
E
The answer is: E
|
E
|
mathematics
|
If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
|
[
"Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750",
"Ram = Rs.2500, Shyam = Rs.500, Mohan = Rs.250",
"Ram = Rs.1200, Shyam = Rs.1300, Mohan = Rs.750",
"Ram = Rs.3500, Shyam = Rs.500, Mohan = Rs.250",
"None"
] |
1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A departmental store has 4 managers and 16 associates. The 4 managers have an average salary of $900. The 16 associates have an average salary of $10,000. What is the average salary for the departmental store?
|
[
"$8180",
"$9190",
"$4140",
"$5150",
"$6160"
] |
Number of managers is 4
Their average salary is $900
Number of associates is 16
Their average salary is $10,000
Total salary of managers is 4*900=$3600
Total salary of associates is 16*10,000=$160,000
Total salary for the departmental store is 160,000+3600=163600
Average salary for the departmental store is 163600/20=8180
Answer is A
The answer is: A
|
A
|
mathematics
|
In a certain match all the teams were to play with each other. If there are 5 teams, how many matches will have to be played?
|
[
"40",
"45",
"60",
"10",
"None of the above"
] |
5c2
=10
ANSWER:D
The answer is: D
|
D
|
mathematics
|
A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
|
[
"6500",
"2500",
"5000",
"10000",
"7500"
] |
A : B : C
=20000×24:15000×24:20000×18
=20×4:15×4:20×3
=4×4:3×4:4×3
=4:3:3
B's share = 25000×(3/10)=7500
Answer is E.
The answer is: E
|
E
|
mathematics
|
In a group of 2 boys and 8 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be selected?
|
[
"120",
"140",
"160",
"180",
"200"
] |
Number of ways to select four children is 10C4 = 210
Number of ways to choose only girls is 8C4 = 70
Number of ways that at least one boy is selected is 210 - 70 = 140
The answer is B.
The answer is: B
|
B
|
mathematics
|
A barrel full of beer has 2 taps one midway,,which draw a litre in 6 minutes and the other at the bottom,which draws a litre in 4 minutes. The lower tap is lower normally used after the level of beer in the barrel is lower than midway.The capacity of the barrel is 36 litres. A new assistant opens the lower tap when the barrel is full and draws out some beer. As a result the lower tap has been used 24 minutes before the usual time. For how long was the beer drawn out by the new assistant ?
|
[
"15 minutes",
"16 minutes",
"17 minutes",
"18 minutes",
"None of these"
] |
Sol. The top tab is operational till 18 litres is drawn out.
∴ Time after which the lower tap is usually open
= 18 × 6 = 108 minutes
∴ Time after which it is open now = 108 – 24 = 84 minutes
∴ Litres drawn = 84/6 = 14 litres
∴ 18 – 14 = 4 litres were drawn by the new assistant.
∴ Time = 4 × 4 = 16 minutes Answer B
The answer is: B
|
B
|
mathematics
|
A grocer has a sale of Rs. 435, Rs. 927, Rs. 855, Rs. 230 and Rs. 562 for 5 consecutive days. How much sale must he have in the sixth day so that he gets an average sale of Rs. 625?
|
[
"Rs 741",
"Rs 5991",
"Rs 6001",
"Rs 6991",
"None of these"
] |
Explanation :
Total sale for 5 days = Rs. (435 + 927 + 855 + 230 + 562)
= Rs. 3009.
Required sale = Rs. [ (625 x 6) - 3009 ]
= Rs. (3750 - 3009)
= Rs. 741.
Answer : A
The answer is: A
|
A
|
mathematics
|
Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 67.5% percent carbonated water, what percent of the volume of the mixture is P?
|
[
"25%",
"40%",
"50%",
"60%",
"75%"
] |
67.5% is 12.5%-points below 80% and 12.5%-points above 55%.
So the ratio of solution P to solution Q is 1:1.
Mixture P is 1/2 = 50% of the volume of mixture PQ.
The answer is C.
The answer is: C
|
C
|
mathematics
|
If grapes are 93% water and raisins are 16% water, then how many kilograms did a quantity of raisins, which currently weighs 8 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
|
[
"92",
"96",
"100",
"104",
"108"
] |
Let x be the original weight.
The weight of the grape pulp was 0.07x.
Since the grape pulp is 84% of the raisins, 0.07x = 0.84(8).
Then x = 12*8 = 96 kg.
The answer is B.
The answer is: B
|
B
|
mathematics
|
How many words can be formed by using all letters of the word ‘PENCIL’ ?
|
[
"480",
"600",
"720",
"900",
"1060"
] |
The word contains 6 different letters.
The number of permutations is 6! = 720
The answer is C.
The answer is: C
|
C
|
mathematics
|
If the President and Vice President must sit next to each other in a row with 1 other members of the Board, how many different seating arrangements are possible?
|
[
"4",
"16",
"8",
"10",
"2"
] |
We need to take President and VP as one unit. Therefore we have 2 people to arrange=2! ways
Also, we both President and VP can be arranged in 2 ! ways.
Reqd no of ways=2!*2!=4 ways
Answer A
The answer is: A
|
A
|
mathematics
|
If the day before yesterday was Wednesday, when will Sunday be?
|
[
"Day after tomorrow",
"Tomorow",
"Two days after today",
"Today",
"none"
] |
Explanation:
Day before yesterday was Wednesday
=>Yesterday was a Thursday
=> Today is a Friday
=> Tomorrow is a Saturday
=> The day after tomorrow will be a Sunday
Answer: Option A
The answer is: A
|
A
|
mathematics
|
From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 30 percent. What percent of the stock’s 2007 starting price was the price of the stock at the end of 2009?
|
[
"80",
"117",
"95",
"100",
"108"
] |
Assume a value at the beginning of 2007. As this is a % question, assume P=100.
At the end of 2007 it becmae = 1.2*100=120
At the end of 2008 it decreased by 25% = 120*.75 = 90
At the end of 2009 it increased by 30% = 90*1.3 = 117
Thus ratio = 117/100 = 1.17 (in % terms = 117%). Thus B is the correct answer.
The answer is: B
|
B
|
mathematics
|
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
|
[
"2.98",
"2.88",
"2.82",
"2.86",
"2.81"
] |
M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer: B
The answer is: B
|
B
|
mathematics
|
In a simultaneous throw of two coins the probability of getting at least one head is ?
|
[
"3/4",
"1/2",
"1/4",
"2/3",
"1/5"
] |
S={HH,HT,TH,TT}
E be the event of getting at least one head is {HT,TH,HH}
P(E)=n(E)/n(S)=3/4
Answer(A)
The answer is: A
|
A
|
mathematics
|
The radius of a cone is 10 m, height 21 m. The volume of the cone is:
|
[
"2200",
"1100",
"5500",
"3300",
"1050"
] |
1/3 πrh = 1/3 × 22/7 × 100 × 21
= 2200 m(power3)
Answer is A.
The answer is: A
|
A
|
mathematics
|
If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 18
III. P is a multiple of 29
|
[
"I only",
"II only",
"III only",
"None of the above",
"All of the above"
] |
Answer = B) II only
The answer is: B
|
B
|
mathematics
|
The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 950 per sq. metre.
|
[
"s. 20,550",
"s. 15,600",
"s. 20,900",
"s. 17,600",
"s. 17,900"
] |
Area of the floor = (5.5 × 4) m2 = 22 m2.
Cost of paving = Rs. (950 × 22) = Rs. 20900
Answer: Option C
The answer is: C
|
C
|
mathematics
|
John bought an old Vehicle for $42000. He spent $13000 on repairs and sold it for $64900. What is his profit percent?
|
[
"11%",
"15%",
"18%",
"17%",
"13%"
] |
C
18%
Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900
Profit(%) = (64900 - 55000)/55000 * 100 = 18%
The answer is: C
|
C
|
mathematics
|
A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 300,000?
|
[
"200",
"216",
"300",
"400",
"2,500"
] |
The first digit and last digit are the same so the 3 possibilities are 4, 6, or 8.
The second and third digits can be any digit from 0 to 9.
The total number of palindromic integers is 3*10*10 = 300
The answer is C.
The answer is: C
|
C
|
mathematics
|
If a certain number is divisible by 12 and 10, it is NOT necessarily divisible by which of the following?
|
[
"4",
"6",
"15",
"20",
"24"
] |
If a certain number is divisible by 12 and 10, it is NOT necessarily divisible by which of the following?
let the certain number be 60, which is both divisible by 12 and 10.
60/24 = 5/2
ANSWER:E
The answer is: E
|
E
|
mathematics
|
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
|
[
"186 m",
"176 m",
"872 m",
"150 m",
"765 m"
] |
Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train
= (Speed x Time) = (50/3 * 9) m
= 150 m.
Answer: D
The answer is: D
|
D
|
mathematics
|
An engagement team consists of a project manager, two team leaders, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?
|
[
"25",
"35",
"150",
"210",
"300"
] |
Answer= Total number combinations - Total number of combinations with constraints
Total number of combinations = 2C1*3C2*7C4= 210
Total number of combinations with constraints = 2C1*3C2*5C2=60
Answer=210-60=150
ANSWER:C
The answer is: C
|
C
|
mathematics
|
If 18 is 15 percent of 25 percent of a certain number, what is the number?
|
[
"9",
"36",
"480",
"81",
"400"
] |
Let the certain number be x.
=> (15/100)*(25/100)*x = 18;
=> x=480;
Ans is (C).
The answer is: C
|
C
|
mathematics
|
4 persons a, b, c, d are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?
|
[
"12",
"36",
"48",
"72",
"144"
] |
firstly it is not GEOMETRY but COMBINATIONS, so changing the TAG accordingly..
total 4 are there..
take a,b, and c as one,so total =2..
these 2 can be arranged in 2! ways..
a,b, and c can be arranged within themselves in 3! ways ..
TOTAL = 2!*3!=12
A
The answer is: A
|
A
|
mathematics
|
If apples cost x dollars per m dozen, how many dollars will it cost to buy n apples?
|
[
"xn/(12m) dollars",
"xn/m",
"m/(xn)",
"12m/(xn)",
"12mn/x"
] |
let it 2 dollars for 2 dozens(24) and we are asked to find the value n apples...let n be 4...
In order to buy 24 apples it took 2 dollars...then for 4 apples it'll take 4*2/12*2 = 1/3.. i.e. n*x/12*m.
Answer: option A is correct answer...
The answer is: A
|
A
|
mathematics
|
A company produces 65000 bottles of water everyday. If a case can hold 13 bottles of water .How many cases are required by the company to hold its one day production
|
[
"2000",
"4500",
"5000",
"8000",
"9000"
] |
Number of bottles that can be held in a case = 13
Number of cases required to hold 65000 bottles = 65000/13=5000 cases.
So the answer is C =5000
The answer is: C
|
C
|
mathematics
|
The average of first 12 natural numbers is?
|
[
"7.6",
"6.5",
"6.1",
"6.8",
"7.2"
] |
Sum of 12 natural no.
= 156/2 = 78
Average = 78/12
= 6.5
Answer:B
The answer is: B
|
B
|
mathematics
|
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 24 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
|
[
"64",
"72",
"86",
"98",
"101"
] |
Use the options.
The options which after getting added to 24 shows a cube of a number could be right.
Here
64+24 = 88
72+24 = 96
86+24 = 110
98+24 = 122
101+24=125 ---(5*5*5)
So we have 101 as the answer!
E
The answer is: E
|
E
|
mathematics
|
The average weight of a group of boys is 30 kg. After a boy of weight 38 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
|
[
"A)4",
"B)8",
"C)6",
"D)2",
"E)7"
] |
Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 38 kg joins the group, total weight of boys = 30x + 38
So 30x + 38 = 31(x + 1) = > x = 7.
Answer:E
The answer is: E
|
E
|
mathematics
|
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
|
[
"4 days",
"8 days",
"6 days",
"5 days",
"3 days"
] |
Let 1 men's 1 day work = x and 1 boy's 1 day work = y.
Then, 6x + 8y = 1/10 and 26x + 48y = 1/2
Solving these two equations, we get:
x = 1/100 and y = 1/200
(15 men + 20 boys)'s 1 day work = (15/100 + 20/200) = 1/4
15 men and 20 boys can do the work in 4 days.
Answer: A
The answer is: A
|
A
|
mathematics
|
At what price must an article costing Rs.47.50 be marked in order that after deducting 6% from the list price. It may be sold at a profit of 25% on the cost price?
|
[
"63.16",
"62.6",
"62.1",
"62.7",
"62.2"
] |
CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(94/100) = 59.375
MP = 63.16
Answer: A
The answer is: A
|
A
|
mathematics
|
15 men take 20 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
|
[
"27.57",
"28.57",
"29.57",
"30.57",
"32"
] |
3W = 2M
15M ------ 20 * 8 hours
21 W ------ x * 6 hours
14 M ------ x * 6
15 * 20 * 8 = 14 * x * 6
x = 28.57
ANSWER:B
The answer is: B
|
B
|
mathematics
|
What is the remainder of G=3^19 when divided by 10?
|
[
"0",
"1",
"5",
"7",
"9"
] |
I looked for patterns:
^2 - units digit 9
^3 - units digit 7
^4 - units digit 1
^5 - units digit 3
hence, we can see that when raised to a power which is multiple of 4, the units digit is 1, and when to an even power not multiple of 4, the units digit is 9
and we can then see:
^16 - units digit 1, or
^18 - units digit 9
and ^19 - units digit 7
therefore, G=when divided by 10, the remainder must be 7.D
The answer is: D
|
D
|
mathematics
|
John bought 9.25m of cloth for $416.25. Find the cost price per metre.
|
[
"46",
"47",
"45",
"56",
"54"
] |
Cloth bought by John = 9.25 m
Cost of 9.25 m = $416.25
Cost per metre = 416.25 ÷ 9.25
The cost of the cloth per metre = $ 45
Answers: C
The answer is: C
|
C
|
mathematics
|
When 3 fair coins are tossed together, what is the probability of getting 2 tails?
|
[
"1/2",
"1/3",
"1/4",
"3/4",
"2/3"
] |
We can get 2 tails in 3C2 ways.
We can get 3 tails in exactly one way.
Also, there are a total out 8 possible outcomes.
Thus, the required probability = (3 + 1)/8 = 1/2
ANSWER:A
The answer is: A
|
A
|
mathematics
|
Townville has 100 residents, and 60 of them are females. If half of Townville’s male residents are smokers, and 1/2 of the female residents are smokers, which of the following represents the total number of Townville’s residents who are NOT smokers?
|
[
"48",
"50",
"52",
"54",
"56"
] |
Number of people =100
Females = 60
men = 100-60=40
Half of the men are smoker40/2=20, that means the remaining men 40-20=20 are non smokers.
1/2 females are smoker. i.e 1/2*60 = 30
60-30=30 females are non smokers
So, total number of non smokers in the town are 20+30 =50
Answer : B
The answer is: B
|
B
|
mathematics
|
Stock / Number of shares
V ------------ 68
W ---------- 112
X ------------ 56
Y ------------ 94
Z ------------ 45
The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 23 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?
|
[
"4",
"6",
"9",
"14",
"20"
] |
Based on the original number of shares, the range would be: 112 - 45 = 67
However, the prompt tells us that two of the values in the table are going to change. After the changes, the values will be:
V 68
W 112
X 36
Y 117
Z 45
Now the range is 117 - 36 = 81
The INCREASE in the range requires us to compare thenewrange to theoldrange: 81 - 67 = 14
D
The answer is: D
|
D
|
mathematics
|
Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 5, how many people got on at the first stop?
|
[
"128",
"64",
"32",
"16",
"8"
] |
7 - > 1
6 - > 2
5 - > 4
4 - > 8
3 - > 16
2 - > 32
1 - > 64
because people get off after the first stop
=> the formula will be : 2^(n-1) where n is the stop number
in this case n = 5
=> 2^(5-1) = 2^4 = 16
=> answer is D
The answer is: D
|
D
|
mathematics
|
What is the value of: -9^7 + 9^9 ?
|
[
"9^2",
"-18^16",
"63(9^7)",
"-80(9^7)",
"80(9^7)"
] |
-9^7 + 9^9 = 9^7 (-1 + 9^2) = 9^7 (-1 + 81) = 80 (9^7), Answer E.
The answer is: E
|
E
|
mathematics
|
P is able to do a piece of work in 20 days and Q can do the same work in 10 days. If they can work together for 2 days, what is the fraction of work left?
|
[
"5/10",
"9/10",
"7/10",
"6/10",
"4/10"
] |
Explanation :
Amount of work P can do in 1 day = 1/20
Amount of work Q can do in 1 day = 1/10
Amount of work P and Q can do in 1 day = 1/20+ 1/10 = 3/20
Amount of work P and Q can together do in 2 days = 2 × (3/20) =3/10
Fraction of work left = 1 – 3/10= 7/10
Answer : Option C
The answer is: C
|
C
|
mathematics
|
Stacy has a 63 page history paper due in 7 days. How many pages per day would she have to write to finish on time?
|
[
"9",
"8",
"10",
"8.5",
"6"
] |
63/7=9
A.9
The answer is: A
|
A
|
mathematics
|
How many multiples of 3 are there between 100 and 300 (both are inclusive)?
|
[
"67.6",
"1.58",
"2.47",
"3.54",
"6.51"
] |
the answer is (300-100)/3+1=67.6
Answer is A
The answer is: A
|
A
|
mathematics
|
A sum of Rs. 395 was divided among A, B, and C in such a way that B gets 25% more than A and 20% more than C. What is the share of A?
|
[
"Rs.195",
"Rs.180",
"Rs. 98",
"Rs. 120",
"Rs. 130"
] |
Let each one’s share is A,B and C respectively, then
B =125A/100 = 120C/100
A =100B/125 =4/5B, C = 100B/120 = 5/6B
4/5B +B +5/6B =395, 79B/30 =395, B =395*30/79 =150
A = 4*150/5 = 120
ANSWER:D
The answer is: D
|
D
|
mathematics
|
Find the least number which when divided by 26, 36 and 46 leaves the remainders 12, 22 and 32 respectively.
|
[
"10570",
"10750",
"17050",
"10075",
"10085"
] |
Explanation:
The difference between any divisor and the corresponding remainder is 14,
L.C.M of 26,36,46 -14
= 10764-14
= 10750
Answer: Option B
The answer is: B
|
B
|
mathematics
|
A man cycles round the boundary of a rectangular park at the rate of 12 kmph and completes one full round in 8 minutes. If the ratio between the length and breadth of the park be 3:2, then its area is:
|
[
"1536m2",
"15360m2",
"153600m2",
"163600m2",
"None of these"
] |
Perimeter= Distance covered in 8 min
= (12000/60 *8)m= 1600m
Let, length= 3x meters and breadth= 2x meters
Then, 2(3x+2x)= 1600 or x= 160
Therefore, length= 480 m and breadth= 320m
Therefore, area= (480*320)m2 = 153600 m2
ANSWER:C
The answer is: C
|
C
|
mathematics
|
The cost to park a car in a certain parking garage is $15.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?
|
[
"$1.09",
"$1.67",
"$2.25",
"$2.37",
"$3.03"
] |
Total cost of parking for 9 hours = 15$ for the first 2 hours and then 1.75 for (9-2) hours = 15+7*1.75 = 27.25
Thus the AVERAGE parking price = 27.25/9 = 3.03 $
E is the correct answer.
The answer is: E
|
E
|
mathematics
|
Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel six times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
|
[
"4",
"6",
"8",
"7",
"12"
] |
W: the time for Wyane to do the job
S: the time for his son to do the job
We have 1/W + 1/S = 1/6 and W = 6S
Then we have 1/(6*S) + 1/S = 1/6 <=> 7/(6*S) = 1/6 <=> S = 7
ANS: D
The answer is: D
|
D
|
mathematics
|
The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:
|
[
"1439",
"1440",
"1459",
"1449",
"1500"
] |
LCM = 1440
1440 - 1 = 1439
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A tradesman by means of his false balance defrauds to the extent of 32%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
|
[
"74.5%",
"74.24%",
"84.6%",
"24.89%",
"45%"
] |
g% = 32 + 32 + (32*32)/100
= 74.24%
Answer: B
The answer is: B
|
B
|
mathematics
|
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
|
[
"15 days",
"25 days",
"18 days",
"20 days",
"21 days"
] |
Explanation:
8/12 + 6/x = 1
X = Explanation:
8/12 + 6/x = 1
X = 18 days
Answer C
The answer is: C
|
C
|
mathematics
|
The average of six numbers is 3.95. The average of two of them is 3.2, while the average of the other two is 3.85. What is the average of the remaining two numbers?
|
[
"4.5",
"4.6",
"4.7",
"4.8",
"4.9"
] |
Sum of the remaining two numbers
= (3.95 × 6) – [(3.2 × 2) + (3.85 × 2)]
= 23.70 – (6.4 + 7.7)
= 23.70 – 14.1 = 9.60
∴ Required average = (9.6⁄2) = 4.8
Answer D
The answer is: D
|
D
|
mathematics
|
If 2 men or 3 women can reap a field in 5 days how long will 5 men and 6 women take to reap it?
|
[
"2/24",
"6/18",
"2/22",
"5/12",
"9/10"
] |
Explanation:
2 men reap 2/5 field in 1 day
1 man reap 1/(2 x 5)
3 women reap 1/43 field in 1 day
1 woman reap 1/(5 x 3)
5 men and 6 women reap (5/(2 x 5)+ 6/(3 x 5)) =9/10 in 1 day
5 men and 6 women will reap the field in 9/10 days
Answer: Option E
The answer is: E
|
E
|
mathematics
|
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 20 men leave the bus and ten women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
|
[
"15",
"90",
"36",
"45",
"46"
] |
Explanation:
Originally, let number of women = x. Then, number of men = 2x.
So, in city Y, we have : (2x - 20) = (x + 10) or x = 30.
Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 90.
Answer: B
The answer is: B
|
B
|
mathematics
|
How many times in a day, the hands of a clock are straight?
|
[
"22",
"44",
"48",
"24",
"36"
] |
The hands of a clock point in opposite directions (in the same straight line, making an angle 180° between them) 11 times in every 12 hours because between 5 and 7 they point in opposite directions at 6 'o clock only. Hence the hands point in the opposite directions 22 times in a day.
The hands of a clock coincide(0° between them) 11 times in every 12 hours (between 11 and 1, they coincide only once, at 12 o'clock). Hence the hands coincide 22 times in a day.
So In 24 hours, the hands come in opposite direction or coincide 44 times.
This is already given as a formula and it's is better to learn the answer by heart as 44
which can save time in competitive exams.(However you should know the theory behind). Answer: Option B
The answer is: B
|
B
|
mathematics
|
What is the difference between the C.I. on Rs. 8000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
|
[
"s.3.26",
"s.2.08",
"s.2.02",
"s.2.83",
"s.2.42"
] |
C.I. when interest is compounded yearly
= [8000 * (1 + 4/100) * (1 + (1/2 * 4)/100]
= 8000 * 26/25 * 51/50 = Rs. 8486.4
C.I. when interest is compounded half-yearly
= [8000 * (1 + 2/100)2]
= (8000 * 51/50 * 51/50 * 51/50)
= Rs. 8489.66 Difference
= (8489.66 - 8486.4
= Rs.3.26.
Answer: A
The answer is: A
|
A
|
mathematics
|
The area of one square is x^2 + 10x + 25 and the area of another square is x^2 − 6x + 9. If the sum of the perimeters of both squares is 32, what is the value of x?
|
[
"3",
"2",
"2.5",
"4.67",
"10"
] |
spotting the pattern of equations both are in form of (X+C)^2 so
A1= (x+5)^2A2= (x-3)^2
L1= x+5L2= -3
P1 = 4( x+5)P2=4(x-3)
P1+P2=32
4( x+5) +4(x-3)=32.....3
Ans :A
The answer is: A
|
A
|
mathematics
|
A merchant purchased a jacket for $54 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
|
[
"$0",
"$3",
"$4",
"$12",
"$18"
] |
Actual Cost = $54
SP = Actual Cost + Mark up
= Actual Cost + 40% SP
= 54*100/60
on sale SP = 80/100(54*100/60) = 72
Gross profit = $18
Answer is E
The answer is: E
|
E
|
mathematics
|
A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
|
[
"378",
"288",
"287",
"646",
"217"
] |
840 = P [1 + (10*3)/100]
P = 646
Answer: D
The answer is: D
|
D
|
mathematics
|
if 36% of a number is 72, what is the number?
|
[
"100",
"200",
"250",
"300",
"350"
] |
Assume number as x then
0.36*x = 72
x = 200
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Average of 5 numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
|
[
"-33",
"-35",
"-39",
"-42",
"32"
] |
Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b+c+d+e5)=10.
Now three of the numbers have a sum of 16, say, a+b+c=16a+b+c=16.
So substitute 16 for a+b+ca+b+c in the average above: (16+d+e5)=10.(16+d+e5)=10.
Solving this equation for d+ed+e gives d+e=−66d+e=−66.
Finally, dividing by 2 (to form the average) gives (d+e2)=−33.(d+e2)=−33.
Hence, the answer is A: -33
The answer is: A
|
A
|
mathematics
|
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 6 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
|
[
"60 gallons",
"100 gallons",
"240 gallons",
"180 gallons",
"130 gallons"
] |
Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 6 gallons\
Volume of whole = 6 * 40 = 240 gallons.
ANSWER:C
The answer is: C
|
C
|
mathematics
|
In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 11,000, how many purple chips were selected?
|
[
"1",
"2",
"3",
"4",
"5"
] |
11,000 = 1*5^3*8*11
The factor of 8 must come from the purple point value, so there is 1 purple chip.
The answer is A.
The answer is: A
|
A
|
mathematics
|
If n is a natural number, then(6n^2+6n) is always divisible by?
|
[
"6 only",
"6 and 12 both",
"12 only",
"by 18 only",
"None of these"
] |
(6n^2+6n)=6n(n+1), which is always divisible by 6 and 12 both, since n(n+1) is always even.
Correct Option: B
The answer is: B
|
B
|
mathematics
|
When running a mile during a recent track meet, Nuria was initially credited with a final time of 6 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
|
[
"5 minutes, 17.6 seconds",
"5 minutes, 21.8 seconds",
"5 minutes, 43.56 seconds",
"5 minutes, 44.44 seconds",
"7 minutes, 10.4 seconds"
] |
One approach:
The watch starts to work after Nuria began his running. It means the time should be greater than credited 6 minutes, 44 seconds. The only number is 7 minutes, 10.4 seconds.
Another approach:
11/25 close to 30 second when added to the 6 minutes, 44 seconds, it means it passes 7 minute.
Answer: E
The answer is: E
|
E
|
mathematics
|
Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
|
[
"44",
"78",
"15",
"92",
"29"
] |
D
78
This series alternates the addition of 4 with the subtraction of 3.
The answer is: D
|
D
|
mathematics
|
The value of log2(log5625) is
|
[
"2",
"5",
"10",
"15",
"20"
] |
Solution
Let log5625 = x.
Then, 5x = 625
= 54
‹=› x=4.
Let log2( log5625) = y.
Then, log 24= y
‹=› 2y= 4
y;2.
Answer A
The answer is: A
|
A
|
mathematics
|
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
|
[
"240",
"120",
"190",
"200",
"250"
] |
Let C's share = Rs. x
Then, B's share = Rs. x/4, A's share = Rs. (2/3 x (x/4))= Rs. x/6
Therefore, x/6 + x/4 + x = 1360
=17x/12 = 1360
x = 1360 x 12/17= Rs. 960
Hence, B's share = Rs. (960/4)= Rs. 240.
Answer is A.
The answer is: A
|
A
|
mathematics
|
A certain junior class has 100 students and a certain senior class has 80 students. Among these students, there are 6 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
|
[
"3/40000",
"1/3600",
"9/2000",
"3/4000",
"1/15"
] |
Let's see
Pick 6/100 first
Then we can only pick 1 other pair from the 800
So total will be 6 / 80 *100
Simplify and you get 3/4000
Answer is D
The answer is: D
|
D
|
mathematics
|
If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
|
[
"70%",
"47%",
"49%",
"40%",
"20%"
] |
8 = (1*20*R)/100
R = 40%
Answer:D
The answer is: D
|
D
|
mathematics
|
An electric pump can fill a tank in 10 hours. Because of a leak in the tank, it took 20 hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
|
[
"10hours",
"12hours",
"20hours",
"5hours",
"15hours"
] |
Work done by the leak in 1 hour = 1/10 - 1/20 = 1/20
The leak will empty the tank in 20hours
Answer is C
The answer is: C
|
C
|
mathematics
|
The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 13 consecutive integers that start with (m + 2)?
|
[
"m + 6",
"n + 6",
"n + 3",
"m + 5",
"n + 4"
] |
The average of consecutive numbers is the middle number.
Then n = m+2.
The average of 13 consecutive numbers starting from n is n+6.
The answer is B.
The answer is: B
|
B
|
mathematics
|
when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 11
|
[
"1",
"3",
"4",
"5",
"6"
] |
case1
N=5,8,11,14,17,20
case 2
M=5,9,13,17,21
Therefore n=17
Remainder of 17/11 will be 6
E 6 correct
The answer is: E
|
E
|
mathematics
|
Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
|
[
"4.5%",
"8.6%",
"12.3%",
"16.7%",
"20%"
] |
Let I be the number of incandescent bulbs.
Let F be the number of fluorescent bulbs.
0.3I + 0.8F = 0.7(I+F)
0.1F = 0.4I
F = 4I
This means that for every 1 incandescent bulb, there are 4 fluorescent bulbs.
The percent of bulbs that are switched on which are incandescent is:
0.3I / (0.3I + 0.8F) = 0.3I / (0.3I + 0.8*4I) = 0.3I / 3.5I = 3/35 which is about 8.6%.
The answer is B.
The answer is: B
|
B
|
mathematics
|
If log3(2), log3(2x - 5), log3(2x - 7/2) are in arithmetic progression, then the value of x is equal to
|
[
"5",
"4",
"2",
"3",
"1"
] |
Explanation :
Using log a – log b = log(a/b) ,
=> 2/(y-5) = (y-5) / (y-3.5), where y = 2x.
Solving we get, y= 4 or 8 i.e x = 2 or 3.
It can't be 2 as log of negative number is not deifned.
Answer : D
The answer is: D
|
D
|
mathematics
|
Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
|
[
"99",
"88",
"71",
"18",
"77"
] |
93 + 123 + 153 = a3 => a = 18
Answer: D
The answer is: D
|
D
|
mathematics
|
10^185 - 10^30 =
Which of the following best approximates the value of the expression above?
|
[
"10^180",
"10^179",
"10^170",
"10^160",
"10^185"
] |
10^185 - 10^30 =
Which of the following best approximates the value of the expression above?
Yes, answer 10^185 is correct. Note that we need approximate value of the given expression and as 10^(185) is much larger number than 10^(30) then 10^(30) is pretty much negligible in this case: 10^(185)-10^(30)=~10^(185).
Answer : E
The answer is: E
|
E
|
mathematics
|
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?
|
[
"2.5 sec",
"2.8 sec",
"5 sec",
"2.2 sec",
"4.5 sec"
] |
Speed = 144 * 5/18
= 40 m/sec
Time taken = 200/40
= 5 sec.
Answer:C
The answer is: C
|
C
|
mathematics
|
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is three times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?
|
[
"1:1",
"2:3",
"3:2",
"9:4",
"27:8"
] |
Water:soap = 3:2
Soap:Salt=9:2
=> For 9 soap, salt = 2
=> For 2 Soap, salt = (2/9)*2 = 4/9
So, water:soap:salt = 3:2:4/9 = 27:18:4
After open container, water:soap:salt = 13.5:18:4
So, water:salt = 13.5:4 = 27:8
ANSWER:E
The answer is: E
|
E
|
mathematics
|
The probability of pulling a black ball out of a glass jar is 1/C. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
|
[
"1/(XY)",
"C/Y",
"Y/X",
"1/(X+Y)",
"1/(X-Y)"
] |
P of pulling a black ball out of a glass jar AND breaking the jar = 1/Y
P of pulling a black ball out of a glass jar is 1/C
Lets say P of breaking the jar = n
That means 1/C*n=1/Y
n= C/Y
B is the answer
The answer is: B
|
B
|
mathematics
|
Martin bought 10 concert tickets, some at the full price of $2.00 per ticket, and some at a discounted price of $1.60 per ticket. If he spent a total of $18.00, how many discounted tickets did he buy?
|
[
"3",
"4",
"5",
"6",
"7"
] |
Let x be the number of tickets he bought at $2 per ticket.
then 2 x + (10-x)1.6 = 18
0.4x = 2 => x = 5
discounted tickets = 10 -x = 5
Ans : C
The answer is: C
|
C
|
mathematics
|
Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 55, and the three numbers in order are?
|
[
"116,58,36",
"90,45,30",
"126,63,36",
"108,54,36",
"None of these"
] |
Explanation :
Solution: Let A =x,
B =x/2, C = x/3.
=x + x/2 + x/3 / 3 = 55
By solving we will get x = 90.
Hence A= 90
B= 90/2= 45
C= 90/3 = 30
Answer : B
The answer is: B
|
B
|
mathematics
|
Joseph’s grade was in the 80th percentile out of 100 grades in his class. In another class of 60 students there were 15 grades higher than Joseph’s. If nobody had Joseph’s grade, then Joseph’s was what percentile of the two classes combined?
|
[
"80",
"78",
"75",
"60",
"90"
] |
Being in 80% percentile out of 100 grades means Joseph was 81st (from the least grade) in the class (as long as nobody had Joseph’s grades), he outscored 80.
In another class his grade would rank him 46 (from the least grade out of 61, 60+Joseph), 45 had the grades lower than Amy.
So in combined classes he outscored 80+45=125. There are 160 students 125/160=0.78
Answer: B (78%)
Generally being in x% means that x% has the grades less than you.
Joseph in 80% --> he outscored 80% of of 100=80 (Joseph is 81st).
Of the 60 grades from another class, 15 were higher than Joseph 's, and the rest were lower --> rest is 45, hence Amy outscored 45.
So out of total 100+60=160, Joseph outscored 80+45=125. Hence he is in 125/160=78%.
Answer: B
The answer is: B
|
B
|
mathematics
|
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 29 m * 2 m * 0.75 m?
|
[
"29000",
"27908",
"78902",
"25000",
"27991"
] |
29 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
29 = 1/100 * x => x
= 29000
Answer: A
The answer is: A
|
A
|
mathematics
|
Express 45 mps in kmph?
|
[
"170",
"160",
"162",
"130",
"122"
] |
45 * 18/5 = 162 kmph
Answer:C
The answer is: C
|
C
|
mathematics
|
In Town X, 64 percent of the population are employed, and 50 percent of the population are employed males. What percent of the employed people in Town X are females?
|
[
"16%",
"22%",
"32%",
"40%",
"52%"
] |
We are asked to find the percentage of females in employed people.
Total employed people 64%, out of which 50 are employed males, hence 14% are employed females.
(employed females)/(total employed people)=14/64=22%
Answer: B.
The answer is: B
|
B
|
mathematics
|
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 20 km/hr and 30 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
|
[
"28 sec",
"37 sec",
"21.6 sec",
"23 sec",
"27 sec"
] |
Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 400 / (20 + 30)5/18 = 300* 18 / 50 * 5 = 21.6 seconds.
Answer : C
The answer is: C
|
C
|
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