antoine-444/aqua_rat_dataset huggingface dataset:
Question: If two different numbers are randomly selected from set { 1, 2, 3, 4, 5} what is the probability that the sum of the two numbers is greater than 4?
Choices:
3/5
4/5
6/5
7/5
Answer: B
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
144600 m
153600 m
162600 m
165600 m
Answer: B
Question: If Jane takes 12 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
Choices:
12x/(60y)
60xy/12
xy/720
720x/y
Answer: A
Question: List K consists of 10 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?
Choices:
6
7
11
4
Answer: D
Question: The cash realised on selling a 14% stock is Rs.101.25, brokerage being 1/4% is
Choices:
106
100
101
240
Answer: C
Question: A boat can travel with a speed of 5km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 100km downstream.
Choices:
2 hrs
3 hrs
4 hrs
10 hrs
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
217
150
277
212
Answer: C
Question: A can have a piece of work done in 15 days, B can work three times faster than the A, C can work two times faster than A. How many days will they take to do the work together ?
Choices:
8/9 days
10/3 days
can't say
none
Answer: B
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
267
342
276
277
Answer: B
Question: A certain company consists of 8 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)
Choices:
108
135
270
448
Answer: D
Question: The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?
Choices:
50 m
40 m
30 m
20 m
Answer: D
Question: The average weight of A, B and C is 46 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
28 kg
33 kg
34 kg
None of these
Answer: A
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2415?
Choices:
s.810
s.805
s.900
s.920
Answer: B
Question: A sum of money at simple interest amounts to $ 980 in 3 years and to $1024 in 4 years. The sum is:
Choices:
$848
$398
$549
$675
Answer: A
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
982 m
399 m
150 m
354 m
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train?
Choices:
872
250
288
212
Answer: B
Question: (469 + 174)2 - (469 - 174)2	/(469 x 174)=?
Choices:
4
295
643
123
Answer: A
Question: What is the sum of all the composite numbers up to 20?
Choices:
277
198
132
281
Answer: C
Question: Two trains of length 100 m and 200 m are 100 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?
Choices:
12/7 sec
20/7 sec
17/7 sec
19/7 sec
Answer: B
Question: A boy has five trousers and 14 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
278
70
108
271
Answer: B
Question: If the cost of 8 erasers and 5 sharpeners is Rs.31/-, what will be the cost of 24 erasers and 10 sharpeners?
Choices:
Rs.84/-
Rs.78/-
Rs.150
None of these
Answer: B
Question: In how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together?
Choices:
3!*4!*2!
5!*5!
5!*4!*2!
6!*4!
Answer: A
Question: Cole drove from home to work at an average speed of 75 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 6 hours, how many minutes did it take Cole to drive to work?
Choices:
136
172
210
478
Answer: C
Question: A dice has one of the first 4 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 10 times and the results added.the addition is most likely to be closet to
Choices:
43
60
68
70
Answer: A
Question: Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 350 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day?
Choices:
$ 1.88
$ 2.14
$ 2.50
$ 3.25
Answer: B
Question: Akhil borrowed a certain sum of money at the rate of 6%, 9% and 14% for a period of first two years, next three years and beyond the period of five years respectively. If at the end of nine years, he paid Rs. 8550 as interest, then find the sum of money he had borrowed.
Choices:
Rs. 9,000
Rs.15,000
Rs.18,000
None of these
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
71
72
73
74
Answer: B
Question: An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold
Choices:
a.	A - 40
c.	C – 22.5
d.	D – 30
e.	E – 67.5
Answer: A
Question: Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number
Choices:
15
8
3
2
Answer: C
Question: In a class, the average age of 45 boys is 18 years and the average of 35 girls is 15 years. what is the average age of the whole class?
Choices:
12.6 Years
13 Years
16.6 Years
14 Years
Answer: C
Question: 40, 45, 50, 50, 60, 75, 75, 100, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.7, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?
Choices:
2
3
4
5
Answer: A
Question: I chose a number and divide it by 6. Then I subtracted 15 from the result and got 5. What was the number I chose?
Choices:
700
120
900
None
Answer: B
Question: A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, “How many gold coins do we have?” After pausing a moment, he replied, “Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference between the squares of the two numbers.” The wife looked puzzled. Can you help the merchant’s wife by finding out how many gold are
Choices:
37
38
39
40
Answer: A
Question: How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
Choices:
28
29
34
60
Answer: D
Question: If 145% of j is equal to 25% of k, 160% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 40% of m is equal to what percent of 200% of j ?
Choices:
3.5
35
700
3500
Answer: C
Question: A sum fetched total simple interest of 4016.25 at the rate of 14 p.c.p.a. in 5 years. What is the sum?
Choices:
5737.5
4462.5
8900
None of these
Answer: A
Question: Average Age of residents of a colony is 38 years with Standard deviation of 5 years
If Mr.X's age lies within 2 SD from mean and Mr.Y's age lies within 1 SD from mean then find
maximum values of (X/Y) = ?
Choices:
48/43
48/33
38/33
48/35
Answer: B
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
Choices:
5.6hr
9.5hr
7.2hr
4hr
Answer: C
Question: Find the simple interest on Rs 7000 at 50/3 % for 9 months
Choices:
Rs. 975
Rs. 875
Rs. 775
None of these
Answer: B
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
29
60
19
12
Answer: B
Question: If the selling price is septuple,the profit is octupled,what is the percentage of profit??
Choices:
100%
150%
200%
250%
Answer: A
Question: N is a positive integer. When N + 1 is divided by 3, the remainder is 2. What is the remainder when N is divided by 3?
Choices:
1
4
3
2
Answer: A
Question: Find the odd man out. 1,8,27,60,125
Choices:
125
185
64
14
Answer: C
Question: On dividing 161 by a number, the quotient is 10 and the remainder is 1. Find the divisor.
Choices:
B)14
C)16
D)18
E)22
Answer: B
Question: A metallic sphere of radius 24 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
45 cm
58 cm
63 cm
72 cm
Answer: D
Question: A car travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?
Choices:
74.24km/hr
71.11km/hr
72.21km/hr
75.32km/hr
Answer: B
Question: The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
Choices:
148
216
168
178
Answer: A
Question: The EastBank Choir out sold the WestBank Choir by 40% of the 100 boxes of donuts they ordered. The EastBank Choir hustled and made all of the last sales closing the sale with an average of only 25%. How many more sales did the choir make to reach this average?
Choices:
20
10
15
25
Answer: A
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Choices:
30
15
10
25
Answer: C
Question: Which of the following integers is NOT a divisor of x if x = (21)(3^7) – (127)?
Choices:
4
5
12
25
Answer: C
Question: The average of the two-digit numbers, which remain the same when the digits interchange their positions, is?
Choices:
86
55
87
88
Answer: B
Question: A certain sum of money at simple interest amounted Rs.870 in 10 years at 3% per annum, find the sum?
Choices:
666.23
667.23
668.23
669.23
Answer: D
Question: Find the compound ratio of (2:3), (6:11) and (11:6) is
Choices:
2:1
1:2
4:5
2:3
Answer: D
Question: A three-person committee must be chosen from a group of 7 professors and 20 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
Choices:
B)1785
C)630
D)1,260
E)1,980
Answer: A
Question: When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?
Choices:
166 2/1
166 2/2
166 2/3
166 2/8
Answer: C
Question: The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 40 kms. what was the total distance traveled in 12 hours?
Choices:
152 kms
612 kms
752 kms
152 kms
Answer: B
Question: he average of 10 numbers is 23. If each number is increased by 4, what will the new average be?
Choices:
27
88
99
12
Answer: A
Question: If x is a positive integer, and two sides of a certain triangle have lengths 5x+1 and x respectively, which of the following could be the length of the third side of the triangle?
I. x + 1
II. x + 0
III. 8x
Choices:
II only
I and II only
II and III only
I, II and III
Answer: B
Question: A certain list consists of 21 different numbers. If n is in the list and n is 7 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Choices:
7/27
1/5
4/21
5/21
Answer: A
Question: The smallest of three consecutive even integers is 40 less than three times the largest. What is the largest of these integers?
Choices:
17
18
19
20
Answer: B
Question: A car after travelling 100 km from point A meets with an accident and then proceeds at 3/4 of its original speed and arrives at the point B 90 minutes late. If the car meets the accident 60 km further on, it would have reached 15 minutes sooner. Find the original speed of the train?
Choices:
80km/hr
100km/hr
120km/hr
None of these
Answer: A
Question: A 220 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
240m
250m
260m
280m
Answer: D
Question: A restaurant has 89 yellow dishes and 11 white dishes. If I go there with my wife, and we ordered one service each one, what is the probability that both dishes will be white?
Choices:
2/100
1/90
2/90
1/89
Answer: B
Question: The average of 9 numbers is 13.8. If the average of the first five numbers is 13.6 and that of the last five numbers is 13.4,then the middle number is?
Choices:
10.8
9.8
8.8
8.6
Answer: A
Question: A bank offers 4.5% compound interest calculated on half-yearly basis. A customer deposits $ 1500 in 1st month. At the end of the year, the amount he would have gained by way of interest is?
Choices:
90
60
77
85
Answer: C
Question: According to a survey, at least 80% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Choices:
20%
25%
0%
35%
Answer: D
Question: What is the volume of an tetrahedron with edge length of 1?
Choices:
sqr(2)/12 = 0.11785113
sqr(2)/12=0.15798562
sqr(2)/13=0.21254478
sqr(2)/12=0.12457896
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0
Choices:
If x>=y
If x<y
If x<=y
x=y or relationship cannot be established
Answer: D
Question: A sum of Rs. 1800 amounts to Rs. 9000 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
75%
100%
60%
25%
Answer: B
Question: Look at this series: 14, 7, (7/2), (7/4), ... What number should come next?
Choices:
3/8
7/8
5/8
6/8
Answer: B
Question: A pharmacist has 4 quarts of a 15% solution of iodine. How much alcohol must be added to
reduce it to a 10% solution of iodine?
Choices:
2 quarts
3 quarts
4 quarts
5 quarts
Answer: A
Question: If x ¤ y = (x + y)^2 - (x - y)^2. Then √2 ¤ √2 =
Choices:
8
10
15
20
Answer: A
Question: The first Republic Day of India was celebrated on 26th January, 1950. It was :
Choices:
Wednesday
Thursday
Friday
None of these
Answer: B
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
256 m
245 m
527 m
725 m
Answer: B
Question: What is the reciprocal of (AB)/(A+B)^2?
Choices:
A/B+B/A+AB
B/A+A/B+2
(A+B)^2/AB
A/B+2AB
Answer: B
Question: 8 couples attend a dance show in a TV channel. A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is at least 1 couple will be selected is :
Choices:
11/23
15/39
15/18
21/31
Answer: B
Question: A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.75?
Choices:
1280
1040
950
260
Answer: A
Question: 40 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 5:3. How many liters of Liquid Q must be added to make the ratio 5:6?
Choices:
8
10
12
15
Answer: D
Question: In a store 6 different CDs are there. If John can buy 2 CDs, how many cases that he can buy are there?
Choices:
15
18
21
24
Answer: A
Question: What percent of a day is 15 hours?
Choices:
37Ã—1/2%
18Ã—2/3%
22Ã—1/2%
None
Answer: A
Question: If P * Q implies (P2 + Q2), 8 * (3 * 2) = ?
Choices:
278
233
2697
771
Answer: B
Question: Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 100 pages?
Choices:
8 hours 30 mins
9 hours
7 hours
6 hours
Answer: A
Question: Country X taxes each of its citizens an amount equal to 10 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income?
Choices:
$56,000
$60,000
$66,667
$80,000
Answer: B
Question: The total weight of eight nougat nuggets is 3 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Choices:
0.375 oz.
1.8 oz.
5 oz.
18 oz
Answer: A
Question: Last year a certain bond price with a face value of 5000 yielded 6% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
Choices:
4615
5351
6000
6154
Answer: A
Question: On a map, 1 inch represents 28 miles. How many Z inches would be necessary to represent a distance of 383.6 miles?
Choices:
7.4
13.7
21.2
28.7
Answer: B
Question: Three friends A, B and C decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share thrice, no apples were left.How many apples were there?
Choices:
510
511
501
504
Answer: B
Question: 4 years ago, Paula was 4 times as old as Karl. In 12 years, Paula will be twice as old as Karl. What is the sum of their ages now?
Choices:
40
44
48
52
Answer: C
Question: Find the average of the series : 220, 180, 328, 147 and 160?
Choices:
200
250
201
207
Answer: D
Question: If 20% of a number = 1000, then 120% of that number will be?
Choices:
120
360
6000
820
Answer: C
Question: In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 300 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 40% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resulting mixture ?
Choices:
100/3 ml
140 ml
20/3 ml
10 ml
Answer: B
Question: What is the probability that the position in which the consonants appear remain unchanged when the letters of the word "Math" are re-arranged?
Choices:
1/4
1/3
1/24
1/12
Answer: A
Question: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?
Choices:
28.1%
20%
12.5%
11.1%
Answer: A
Question: You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different W ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
Choices:
6
9
12
18
Answer: C
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x-5)(x+10)(2x-5) = 0?
Choices:
1/6
1/4
1/3
1/2
Answer: A
Question: At a certain high school, the senior class is twice the size of the junior class. If 7/8 of the seniors and 1/2 of the juniors study Japanese, what fraction of the students in both classes study Japanese?
Choices:
3/4
1/4
3/8
5/16
Answer: A
Question: A bat is bought for Rs.400 and sold at a gain of 20% find its selling price?
Choices:
Rs.440/-
Rs.480/-
Rs.490/-
Rs.500/-
Answer: B
Question: The ratio of two quantities is 5 : 8. If each of the quantities is increased by 10, what is the ratio of the new quantities?
Choices:
50:78
2:3
It cannot be determined from the information given.
6:7
Answer: C
Question: $364 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share?
Choices:
$204
$208
$212
$216
Answer: B
Question: If the tens digit of positive integers q, y are 6, how many values of the tens digit of 2(q+y) can be there?
Choices:
3
4
5
6
Answer: B
Question: The difference between a number and its three-fifth is 50. What is the number ?
Choices:
100
125
none of these
95
Answer: B
Question: In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 2 ?
Choices:
-4
-3
6
9/2
Answer: C
Question: A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 25 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
Choices:
5
1
6
7
Answer: A
Question: Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 35 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
Choices:
5
7
16
24
Answer: B
Question: What least number must be added to 9879, so that the sum is completely divisible by 10 ?
Choices:
4
1
2
6
Answer: B
Question: IN Common Wealth Games an athlete runs 200 meters in 24 seconds. Hisspeed is ?
Choices:
27 km/hr
30 km/hr
32 km/hr
None of these
Answer: B
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
20
40
50
10
Answer: A
Question: Anand and Deepak started a business investing Rs. 6,000 and Rs. 7,000 respectively. Out of a total profit of Rs. 1,300. Deepak's share is?
Choices:
s. 780
s. 800
s. 760
s. 700
Answer: D
Question: An art gallery owner is hanging paintings for a new show. Of the seven paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Choices:
30
64
120
210
Answer: D
Question: If a2 - b2 = 10 and a*b = 5, find a4 + b4.
Choices:
100
150
92
25
Answer: B
Question: A numberais squared and then multiplied by negative 3. The result of this operation T is equal to three times the sum of three timesaand two. What is one possible value ofa?
Choices:
-2
1
2
3
Answer: A
Question: Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
Choices:
30 min
87 min
26 min
11 min
Answer: A
Question: If 9a - b = 10b + 50 = -12b - 2a, what is the value of 11a + 11b?
Choices:
-2
0
2
4
Answer: B
Question: If 40 percent of the members of a certain organization are women and 4/8 of the members of the organization are married men, which of the following statements concerning the membership must be true?
I. The number of women in the organization is greater than the number of married men in the organization.
II. The number of women in the organization is greater than the number of unmarried men in the organization.
III. The number of married men in the organization is greater than the number of unmarried men in the organization.
Choices:
I,II
II,III
II
I
Answer: A
Question: What is the remainder when (71)(73) is divided by 9?
Choices:
2
4
6
8
Answer: D
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Choices:
42kg
50kg
58kg
60 kg
Answer: D
Question: Look at this series: 70, 71, 76, 70, 81, __, 70, 91, ... What number should fill the blank?
Choices:
86
82
77
52
Answer: A
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is?
Choices:
2:3
2:1
2:9
2:2
Answer: A
Question: What is the smallest positive integer X such that (X+1)^2 is divisible by 28, 98, 242, and 308?
Choices:
153
121
96
511
Answer: A
Question: The area of a right-angled triangle is two-thirds of the area of a rectangle. The base of the triangle is 80 percent of the breadth of the rectangle. If the perimeter of the rectangle is 200 cm, what is the height of the triangle?
Choices:
30 cm
15 cm
Data inadequate
None of these
Answer: C
Question: If t and g are distinct prime numbers less than 10, which of the following cannot be the product of t and g?
Choices:
9
10
14
15
Answer: A
Question: A rectangular cube has a volume of 10 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices
Choices:
48
64
80
100
Answer: C
Question: In 2008, a certain factory produced 40% more widgets than it did in 2007, and its production in 2009 was 120% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?
Choices:
30.5%
36.5%
40.5%
48.5%
Answer: C
Question: Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
Choices:
6
4
3
7
Answer: B
Question: If x, 2, 3, 4 are there and the range and median of them are the same, what is the value of x?
Choices:
1
2
3
4
Answer: C
Question: A shopkeeper has 280 kg of apples. He sells 30% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
Choices:
24%
26%
28%
35%
Answer: A
Question: A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?
Choices:
8 units
12 units
Data inadequate
None of these
Answer: C
Question: David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 10 family members in a row for the picture?
Choices:
9×8!
8×9!
10!/2!
10!
Answer: B
Question: The difference of 2 digit no. & the no. obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
Choices:
8
10
12
13
Answer: A
Question: Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 100 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?
Choices:
97%
102%
107%
120%
Answer: B
Question: Four persons have to cross the bridge they are having one torch light. Four persons take 1,2,5,10 minutes respectively, when two persons are going the will take the time of the slowest person what is the time taken to cross all of them.
Choices:
17 min
19 min
16 min
15 min
Answer: A
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.8 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
s.1518.8
s.1328
s.1397
s.1927
Answer: A
Question: 1.	How much more would Rs.12000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
A)Rs.3,169.20
C)Rs.3,171.20
D)Rs.3,172.20
E)Rs.3,173.20
Answer: A
Question: John and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a 15% tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. If John paid $1.26 more than Jane, what was the original price of the dish?
Choices:
34.8
37.8
42
84
Answer: D
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Choices:
384
666
288
211
Answer: A
Question: The total marks obtained by a student in Mathematics and Physics is 40 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
30
25
Data inadequate
None of these.
Answer: A
Question: A scuba diver descends at a rate of 60 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 3600feet below the sea level..how long will he take to reach the ship?
Choices:
60 minutes
75 minutes
76 minutes
77 minutes
Answer: A
Question: The ratio T , by volume of soap to alcohol to water in a 76 litre solution is 2: 50: 100 . The solution is then altered by adding more soap, alcohol and water.After this alteration the ratio, by volume of soap to water in the solution doubles whereas the ratio, by volume of soap to water remains the same as before. What COULD BE the resulting volume.
Choices:
78 litres
77 litres
152 liters
304 litres
Answer: B
Question: A rectangular swimming pool is 20 feet by 20 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 576 square feet. What is the width of the deck?
Choices:
2
4
5
6
Answer: A
Question: There are n cities. What is the number of airlines that connected 6 different cities (airline from city A to city B is different with airline from city B to city A)?
Choices:
n(n-5)
n(n-1)/2
n(n+1)/2
n2
Answer: A
Question: How many 4-letter word with or without meaning can be formed out
of the letters of the word 'LOGARITHMS' if repetition of letters is
not allowed
Choices:
100
5040
5000
500
Answer: B
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
Rs.3120
Rs.3123
Rs.3122
Rs.3144
Answer: A
Question: A die is rolled twice. What is the probability of getting a sum equal to 9?
Choices:
1/9
5/9
4/9
3/9
Answer: A
Question: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 11 meters, and the interior of tank B has a height of 11 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Choices:
80%
100%
110%
125%
Answer: C
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Choices:
1900
8600
10300
8000
Answer: A
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Choices:
8
7
3
1
Answer: C
Question: At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 70% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
Choices:
8/29
2/5
8/15
2/3
Answer: A
Question: Scotty B is helping his brother Jimmy B with math patterns. Jimmy's paper has 12, 24, 36, 48, and a blank space.
What number should Jimmy B put in the blank space?
Choices:
58
60
62
96
Answer: B
Question: A car covers a distance of 1122 km in 6 ½ hours. Find its speed?
Choices:
187 kmph
164 kmph
175 kmph
106 kmph
Answer: A
Question: There are 2000 employees working in abc limited. out of them 40% of the employees using i phone and out of them 12% having BMW car out of them 70% are boys. Then find out the number of boys how many of the having BMW car and i phone?
Choices:
84
59
67
45
Answer: A
Question: A train 280 m long, running with a speed of 36 km / hr will pass a tree in
Choices:
15 sec
16 sec
28 sec
None
Answer: C
Question: In a jar there are 28 white balls, 30 green balls and 42 blue balls. How many balls must be taken out in order to make sure we have 25 balls of the same color?
Choices:
b)	46
c)	57
d)	71
e)	77
Answer: C
Question: In order to fulfill a local club charitable function request for x cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?
Choices:
px
Bp/x
B-p/x
px/(B(B - p)
Answer: D
Question: Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 400 funds on the list have 3-star ratings, how many funds are on the list?
Choices:
750
1,000
1,200
1,500
Answer: B
Question: The price of a certain truck this year is $36,000, which is 20 percent greater than the cost of the truck last year. What was the price of the truck last year?
Choices:
$30,000
$31,000
$32,000
$33,000
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
3589
3789
4890
5184
Answer: D
Question: Arun house area is the 10% more than of Akash house .if Akash House area is 144 Sqr m .then what is the area of Arun house?
Choices:
148.4 sq m
158.4 sq m
168.4 sq m
178.4 sq m
Answer: B
Question: A student chose a number, multiplied it by 2, then subtracted 152 from the result and got 102. What was the number he chose?
Choices:
127
129
160
200
Answer: A
Question: What investment must be made to obtain Rs 650 income from 10% stock at Rs 96?
Choices:
6240
2727
6212
6172
Answer: A
Question: In a bag containing 5balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of the balls that initiallyin the bag wereequally possible ?
Choices:
5/8
5/4
5/6
6/7
Answer: A
Question: Darren bought 5 packs of white T-shirts and 3 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 6, and the blue T-shirts come in packs of 9. How many T-shirts did Darren buy in all?
Choices:
57
34
65
21
Answer: A
Question: Three years ago, the ratio of ages of P and Q was 4:3. Six years from now, the ratio of their ages will be 7:6. What is P's age at present?
Choices:
12
15
18
21
Answer: B
Question: If 1+9+8=1, what is 2+8+9 ?
Choices:
10
12
13
14
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Choices:
18
98
27
17
Answer: A
Question: 1100 boys and 700 girls are examined in a test; 48% of the boys and 35% of the girls pass. The percentage of the total who failed is ?
Choices:
B)57.1%
C)81.2%
D)75.4%
E)69.1%
Answer: A
Question: Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
250
300
400
500
Answer: A
Question: When two coins are tossed,Find the probability of getting all heads?
Choices:
1/2
3/4
3/8
1/4
Answer: D
Question: Father is aged three times more than his son Suresh. After 8 years, he would be two and a half times of Suresh's age. After further 8 years, how many times would he be of Suresh's age?
Choices:
2 times
2(3/4) times
3 times
4 times
Answer: A
Question: In a house, there are 4 birds, 3 dogs, and 18 cats living with the human family. If the total number of feet in the house are 74 more than the number of heads in the house, how many family members are there?
Choices:
3
5
7
9
Answer: C
Question: Two pipes P and Q can fill a cistern in 20 and 15 minutes respectively. Both are opened together, but at the end of 6 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
10 1/2
11 1/3
11 1/2
11 1/1
Answer: A
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Choices:
145
166
170
189
Answer: B
Question: As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold c bicycles last week and y bicycles this week, which of the following statements must be true?
I. y > 2c
II. y > c
III. y > 3
Choices:
II only
I and II
II and III
I, II, and III
Answer: C
Question: A patient was given five pills which he is required to take one after every twenty minutes.
How long can the pills run for him?
Choices:
1 hour 20 minutes
1 hour 30 minutes
1 hour 35 minutes
1 hour 40 minutes
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 10%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
25%
27%
20%
21%
Answer: D
Question: There are 14 teams in a certain league and each team plays each of the other teams exactly once. What is the total number of games played?
Choices:
91
105
112
119
Answer: A
Question: A is twice as good workman as B, and together they complete a work in 20 days. In how many days can the work be complete by B alone?
Choices:
65 days
45 days
60 days
95 days
Answer: C
Question: A bat is bought for Rs.400 and sold at a gain of 5% find its selling price?
Choices:
s.480/-
s.500/-
s.420/-
s.540/-
Answer: C
Question: The simple interest on a certain sum of money for 2 years at 10% per annum is half the compound interest on $100 for 2 years at 5% per annum. The sum placed on simple interest is ?
Choices:
$602.5
$710.6
$745
$790.3
Answer: A
Question: The average runs of a cricket player of 8 innings was 24. How many runs must he make in his next innings so as to increase his average of runs by 8?
Choices:
42
64
96
84
Answer: C
Question: If a/b = 2, b/c = 3/2, c/d = 1/3, d/e = 2 and e/f = 2/3, then what is the value of abc/def ?
Choices:
7/8
4/9
3/4
9/4
Answer: B
Question: There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that no two boys sit together?
Choices:
B)6!5!/12!
C)6!6!/12!
D)2∗6!/12!
E)none of these
Answer: D
Question: A restaurant meal cost $38.75 and there was no tax. If the tip was more than 20 percent but less than 25 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$39 and $41
$38 and $40
$37 and $39
$46 and $48
Answer: D
Question: A cloth, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
Choices:
25%
28%
30%
35%
Answer: B
Question: A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 40 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold?
Choices:
7j/500
140j
j/100+40
140j/100
Answer: A
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4
5
6
7
Answer: A
Question: If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 11/15 Find P(A|B)
Choices:
11/4
3/2
4/5
4/7
Answer: A
Question: A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it take 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Choices:
3:8
6:3
8:3
None
Answer: C
Question: In the coordinate plane, points (x, 1) and (10, y) are on line k. If line k passes through the origin and has slope 1/4, then x + y =
Choices:
6.5
8
11
12
Answer: A
Question: If s is the product of the integers from 70 to 80 inclusive, and if t is the product of the integers from 70 to 81 inclusive, what is 1/s + 1/t in terms of t?
Choices:
42/t
52/t
62/2t
82/t
Answer: D
Question: Three candidates contested an election and received 1136, 7636 and 13000 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
60%
74%
63%
68%
Answer: A
Question: If 3^x*4^y = 4,782,969 and x – y = 14, then x = ?
Choices:
11
12
13
14
Answer: D
Question: In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 17 parochial schools, and 8 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?
Choices:
1
4
5
6
Answer: A
Question: 25 children are going to a picnic. What is the smallest number of cakes that must be brought to the picnic so that each child receives the same number of cakes?
Choices:
40
15
75
9
Answer: C
Question: ? x 120 = 173 x 240
Choices:
685
865
495
346
Answer: D
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
23
25
77
81
Answer: B
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
2
7
9
1
Answer: A
Question: Siddharth wants to borrow Rs.8000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Choices:
s.28.80
s.22.29
s.21.26
s.21.12
Answer: A
Question: A scale 6 ft. 8 inches long is divided into 4 equal parts. Find the length of each part.
Choices:
20 inches
15 inches
18 inches
None of these
Answer: A
Question: A gambler began playing blackjack with $110 in chips. After exactly 12 hands, he left the table with $320 in chips, having won some hands and lost others. Each win earned $100 and each loss cost $10. How many possible outcomes were there for the first 5 hands he played? (For example, won the first hand, lost the second, etc.)
Choices:
18
26
32
64
Answer: B
Question: . For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A’s chances of winning. Let’s assume such rumors to be true and that in a match between Ghana and Bolivia; Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
Choices:
59
77
26
18
Answer: A
Question: A certain quantity is measured on two different scales, the P-scale and the S-scale, that are related linearly. Measurements on the P-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the P-scale corresponds to a measurement of 100 on the S-scale?
Choices:
36
48
60
84
Answer: B
Question: Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:
Choices:
6 2/3%
6 4/3%
8 2/3%
2 2/3%
Answer: A
Question: A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
Choices:
2.4 km
3 km
3.6 km
None
Answer: A
Question: Set A contains three different positive odd integers and four different positive even integers. Set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?
Choices:
7/15
11/15
23/35
29/35
Answer: D
Question: For each positive integer,the quantitySn is defined such thatSn+2=(Sn)^2 -S(n+2).in addition ,S2=1.then which of the following must be true.
Choices:
b)(S1)^2 +S4 +2=0
c) ifS1=-1thenS4 is also equal to-1.
d) ifS4 =-7thenS1=-2.
e) ifS1 =-3thenS4=-7
Answer: D
Question: 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 8, how many people got on at the first stop?
Choices:
128
32
16
8
Answer: A
Question: Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
2500
11325
6275
2550
Answer: A
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
12800
27888
29778
17781
Answer: A
Question: 200 hundred multiples of seven are chosen at random, and 500 multiples of eight are chosen at random. Approximately what percentage of the 700 selected numbers are odd?
Choices:
14.29%
16.29%
17.29%
18.29%
Answer: A
Question: A man can row his boat with the stream at 8 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
2 kmph
8 kmph
7 kmph
5 kmph
Answer: A
Question: A, B and C rents a pasture for Rs.480. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
199
676
149
122
Answer: C
Question: What is the median from the below series 92, 93, 88, 95, 88, 97, 87, and 98
Choices:
82
92.25
98
100
Answer: B
Question: What is the prime factors’ number of 18?
Choices:
3
4
5
6
Answer: A
Question: A 30% solution of barium chloride is mixed with 10 grams of water to form a 20% solution. How many grams of original solution did we start with ?
I am trained to complete above problem as per following technique. Is it possible to solve in following manner.
30%_________100%
______20%
ratio is 100-20 : 20-30, which is wrong. There should not be 20. Instead, value in the middle should be in between 30% to 100%.
Choices:
15
20
25
30
Answer: B
Question: Find the greatest number that will divide 205, 626 and 588 leaving 5, 6 and 8 as remainders respectively
Choices:
17
13
9
20
Answer: D
Question: 30 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
Choices:
18
17
36
10
Answer: C
Question: A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 1500. He sold both the items together for Rs. 4000. What percentage of profit did he make?
Choices:
14.28%
15.21%
14.20%
10.32%
Answer: A
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
Choices:
600
797
179
642
Answer: A
Question: A city with a population of 97,500 is to be divided into 6 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
Choices:
15,000
16,000
16,500
17,000
Answer: A
Question: Hillary and Tenzing are climbing to the summit of Mt. Everest from a base camp 4,800 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Tenzing lagging behind at a slower rate of 500 ft/hr. If Hillary stops 800 ft short of the summit and then descends at a rate of 1,000 ft/hr, at what time do Hillary and Tenzing pass each other on her return trip?
Choices:
12.0
10.0
13.0
14.0
Answer: A
Question: In a BCCI meeting there are 12 people. All shake hands with each other once. How many handshakes will be there altogether?
Choices:
11
12
19
18
Answer: A
Question: If a and b are positive integers, and a=4b+16, the greatest common divisor of a and b CANNOT be
Choices:
9
4
8
16
Answer: A
Question: Find the 21th term of an arithmetic progression whose first term is 3 and the common difference is 5.
Choices:
102
103
150
46
Answer: B
Question: What is the next number of the following sequence
7,0,1,8,5,12,9,2,6,3,2,?
Choices:
5
6
7
8
Answer: A