antoine-444/aqua_rat_dataset huggingface dataset:
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
36/140
36/141
31/142
Answer: A
Question: What is the area of square field whose side of length 15 m?
Choices:
225
266
288
261
Answer: A
Question: If seven numbers are randomly selected without replacement from set {1, 2, 3, 4, 5, 6, 7}, what is the probability that the numbers are selected in ascending order?
Choices:
1/6400
1/4820
1/5040
1/1280
Answer: C
Question: Solution x contains 75% water and 25% oil; how many more liters of water than liters of oil are in 200 liters of solution x?
Choices:
100
125
150
175
Answer: A
Question: What is the greatest prime factor of (14!13!) + (14!15!)?
Choices:
71
151
191
211
Answer: D
Question: In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/5.
The probability of drawing a red ball is 1/5.
The probability of drawing a green ball is 1/10.
If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Choices:
5.
3.
2.
7.
Answer: A
Question: How many numbers from 45 to 110 are exactly divisible by 12?
Choices:
7
6
11
12
Answer: B
Question: A train passes a station platform in 36 sec and a man standing on the platform in 24 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
180 m
176 m
186 m
Answer: B
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 150 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
800
480
192
400
Answer: C
Question: There are 2 sections A and B in a class, consisting of 24 and 16 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
Choices:
37.25kg
42kg
38kg
29.78kg
Answer: C
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 56 with him, what was the average amount with the group before his joining the group?
Choices:
s.12
s.15
s.22
s.14
Answer: D
Question: Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 40% nuts, what percent of the combined mixture is dried fruit?
Choices:
23.33%
25%
33.3%
46.7%
Answer: D
Question: If it is assumed that 65 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
Choices:
420
461.5
500
600
Answer: B
Question: The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 40 per kg. The inflation rate for the years 1994 and 1995 are expected to be 18% each. The expected price of sugar on January 1, 1996 would be
Choices:
57.6
54.4
24.6
None of these
Answer: A
Question: Susan weighs 10 pounds more than Anna does, and together they weigh a total of 110 pounds. Which of the following represents Anna’s weight in pounds?
Choices:
50
70
80
85
Answer: A
Question: If the pice of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumpion of sugar by
Choices:
20
98
77
32
Answer: A
Question: Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 3.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
Choices:
1/30
1/42
2
30
Answer: B
Question: For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
Choices:
3 : 4
2 : 7
3 : 7
1 : 3
Answer: A
Question: A seller of used cars has 16 cars to sell and each of his clients selected 2 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
Choices:
10
12
14
24
Answer: D
Question: If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.
Choices:
45 cm
50 cm
52 cm
57 cm
Answer: B
Question: How much is it cost $0.50 each tire for 8 tires?
Choices:
$9.00
$2.00
$4.00
$7.00
Answer: C
Question: Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 5?
Choices:
B)2
C)4
D)8
E)5
Answer: D
Question: If a certain manager had received a 10% raise instead of the 12% raise that she actually received, her salary would have been $65000. What was her actual salary after the raise?
Choices:
66181.8
66800
68000
59000
Answer: A
Question: Multiplication of 2 numbers is 9375 and the quotient, when the larger one is divided by the smalleris 15. Find the sum of the numbers?
Choices:
300
400
500
600
Answer: B
Question: x-1-x=5-then-x-4-3x-3-5x-2-3x-1-x-4-1
Choices:
-20
-25
-27
-29
Answer: A
Question: (164)^2 - (163)^2 =
Choices:
100
229
327
349
Answer: C
Question: 45 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
Choices:
90 litres
120 litres
170 litres
None of these
Answer: A
Question: If q and s are positive integers such that (2^q)(4^s) = 16, then 2q + s =
Choices:
3
4
5
6
Answer: C
Question: Find the smallest positive integer n such that tn of the arithmetic sequence 20,19¼ ,18½ ,… is nagative
Choices:
28
29
30
31
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
20.9
21.9
22
Answer: A
Question: If A(k)=(2k+1)^K, and k=0, what is the value of A(A(A(k)))?
Choices:
343
121
69
249
Answer: A
Question: What is the sum of the different positive prime factors of 1080?
Choices:
4
8
9
10
Answer: D
Question: The side of a square has the length of 7. What is the area of the region shaded?
Choices:
48-6 π
24+6π
48-7π
64-8π
Answer: C
Question: Two friends plan to walk along a 33-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 20% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
Choices:
16
17
18
19
Answer: C
Question: The ratio between the sale price and the cost price of an article is 6:5. What is the ratio between the profit and the cost price of that article?
Choices:
1:5
3:6
2:0
2:1
Answer: A
Question: How many 7 in between 1 to 90?
Choices:
19
22
23
24
Answer: A
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :
Choices:
2700
2900
3100
3500
Answer: A
Question: If the compound interest on a certain sum of money for 4 years at 10% per annum be Rs. 993, what would be the simple interest?
Choices:
Rs. 890
Rs. 1200
Rs. 900
None
Answer: B
Question: ASvennumber is defined as a five-digit number which goes according to the following rules: the leftmost digit is even, any digit to the right of an even digit must be an odd digit, and any digit to the right of an odd digit can only be one of the digits 1 or 6. How many different 5-digit numbers areSvennumbers?
Choices:
80
160
220
250
Answer: A
Question: How many words can be formed from the letters of the word "AFTER", so that the vowels never comes together
Choices:
52
72
120
None of these
Answer: B
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Choices:
9:31
9:33
9:78
9:32
Answer: A
Question: The speed of a train that is 250 meter in length passing from a railway platform is 150 km/hour. The length of platform is 500 meter. What is the time taken by the train to cross the platform?
Choices:
2 minute
3 minute
4 minute
5 minute
Answer: B
Question: The difference between the place values of two sixes in the numerical 81369206 is
Choices:
599
5994
59994
None of them
Answer: C
Question: A 200 meter long train crosses a platform in 50 seconds while it crosses a signal pole in 42 seconds. What is the length of the platform?
Choices:
37.88
35
38.88
38.09
Answer: D
Question: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
37 sec
17 sec
23 sec
27 sec
Answer: D
Question: Pipe A can fill a tank in 4 hours, pipe B in 6 hours, and pipe C in 12 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
1.4
1.6
1.8
2
Answer: D
Question: In a business, A and C invested amounts in the ratio 4 : 3 , whereas the ratio between amounts invested by A and B was 1 : 2 . If Rs 182100 was their profit, how much amount did B receive?
Choices:
97120
90000
95000
None of these
Answer: A
Question: The third proportional to 1 and 2 is?
Choices:
1
4
8
7
Answer: B
Question: 160% of 5/8 =
Choices:
0.5
0.6
0.75
1.0
Answer: D
Question: What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?
Choices:
27
30
21
18
Answer: B
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
272
999
277
311
Answer: B
Question: P is three times as fast as Q and working together, they can complete a work in 18 days. In how many days can Q alone complete the work?
Choices:
24
88
55
778
Answer: A
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
18/35
18/30
78/35
18/55
Answer: A
Question: A composer’s guild is planning its spring concert, and ten pieces have been submitted for consideration. The director of the guild knows that they will only have time to present four of them. If the pieces can be played in any order, how many combinations of pieces are possible?
Choices:
210
1090
5040
10000
Answer: A
Question: Kathleen can paint a room in 2 hours, and Anthony can paint an identical room in 3 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?
Choices:
4/3
12/5
9/4
15/4
Answer: B
Question: 5/4 of all married couples have more than one child. 2/5 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
Choices:
1/4
17/20
3/5
It cannot be determined from the given information.
Answer: B
Question: Tough and Tricky questions: Exponents.
If 2^m3^m3^m = 9^n, then m/n =
Choices:
2/3
1
3/2
3
Answer: C
Question: The sum of two numbers is 25 and their difference is 13. Find their product.
Choices:
114
315
325
400
Answer: A
Question: Find curved surface area of a cylinder with diameter of base 14 cm and height 60 cm.
Choices:
2610cm2
2620cm2
2630cm2
2640cm2
Answer: D
Question: Raman travelled for 10 hours. He covered the first half of the distance at 20 kmph and remaining half of the distance at 15 kmph. Find the distance travelled by Raman?
Choices:
181.42
178.42
191.42
171.42
Answer: D
Question: A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?
Choices:
56
112
28
38
Answer: A
Question: A clock store sold a certain clock to a collector for 30 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 60 percent of what the collector had paid. The shop then sold the clock again at a profit of 90 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $150, for how much did the shop sell the clock the second time?
Choices:
$1010.46
$2020.92
$800.46
$1515.69
Answer: A
Question: Which of the following is not a prime number ?
Choices:
3
11
19
20
Answer: D
Question: in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 11 people all together .how many people can sit in a bus?
Choices:
92
95
88
66
Answer: A
Question: P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Choices:
8/15
1/15
3/15
None of these
Answer: A
Question: The average weight of A, B and C is 45 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:
31 kg
37 kg
39 kg
41 kg
Answer: A
Question: In how many different ways can the letters of the word MISSISSIPPI be arranged if the vowels must always be together?
Choices:
144
210
420
840
Answer: D
Question: Before 6 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now?
Choices:
42
54
60
64
Answer: D
Question: In the year 1990 there are 5000 men 3000 women 2000 boys. In 1994 men are increased by 20% women are increased by ratio of boys and women?
Choices:
12000
13000
14000
15000
Answer: B
Question: A shirt goes on sale for 70% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?
Choices:
63%
62%
50%
28%
Answer: A
Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
Choices:
1/4
2/5
3/7
3./11
Answer: B
Question: A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price y. The store sold the first 150 copies in the first week at 80% more than y, and then over the next month, sold a 100 more at 20% more than y. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than y. What was the bookstore’s net percent profit or loss on the entire lot of 400 books?
Choices:
10% loss
10% profit
20% profit
60% profit
Answer: C
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
44
40
27
12
Answer: B
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
18.6 cm
91.5 cm
16.5 cm
14.6 cm
Answer: B
Question: A man buys a cycle for Rs. 2000 and sells it at a loss of 10%. What is the selling price of the cycle?
Choices:
1800
1430
1440
1540
Answer: A
Question: 6 noun, 4 verbs and 3 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
Choices:
432
472
524
554
Answer: A
Question: The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.4 kg. The weight of the new student is
Choices:
21.6 kg
22.4 kg
10 kg
None of these
Answer: C
Question: A train 120m long is running at 60kmph. In how much time will it pass a platform 240m long?
Choices:
24.6 seconds
21.6 seconds
30.6 seconds
35.6 seconds
Answer: B
Question: Factory X's bulbs work for over 4000 hours in 59% of cases, whereas factory Y's bulbs work for over 4000 hours in 65% of cases. It is known that factory X supplies 60% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 4000 hours?
Choices:
61.4%
77.4%
65%
53.9%
Answer: A
Question: The average age of a committee of 8 members is 40 years. A member aged 55 years
retired and his place was taken by another member aged 32 years . The average age of
present committee is;
Choices:
38 years
36 years
37.125 years
34 years
Answer: C
Question: Tim is now 16 years older than Donna. If in 4 years Tim will be twice as old as Donna, how old will Tim be in 11 years?
Choices:
37
39
41
43
Answer: B
Question: Which of the following inequalities is equivalent to −8 < x < 4?
Choices:
|x + 2| < 6
|x + 3| < 5
|x - 2| < 6
None of the above
Answer: A
Question: The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
Choices:
320 km
360 km
390 km
400 km
Answer: B
Question: Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 5:1 and 6:4 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
Choices:
11:5
13:5
14:5
9:5
Answer: A
Question: If A:B = 1/3: 1/3 B:C = 1/2:1/3 then A:B:C?
Choices:
9:9:6
9:6:2
9:6:4
9:6:1
Answer: A
Question: How many different arrangements of letters are possible if three letters are chosen from the letters A through I and the letters E and A must be among the letters selected?
Choices:
38
40
42
44
Answer: C
Question: Two trains 135 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.12
7.3
7.45
7.51
Answer: C
Question: Of the 200 stamps in a collection, 90 are foreign and 80 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
Choices:
50
100
130
150
Answer: A
Question: What percent of a day is 6 hours?
Choices:
20%
25%
12.5%
None of these
Answer: B
Question: Vijay sells a cupboard at 12% below cost price. Had he got Rs.1500 more, he would have made a profit of 12%. What is the cost price of the cupboard?
Choices:
14900
6250
6000
None of these
Answer: B
Question: A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Choices:
20
40
73
72
Answer: B
Question: If w,x,y,z are consecutive positive integers ; then which of the following is always odd?
[1] w*x+(y+2)^2*z
[2] w^x + z^y
[3] 51y
Choices:
2
3 and 2
1 and 2
2 and 3
Answer: B
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 4 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
76
75
89
90
Answer: A
Question: If x,y ,and z are positive real numbers such that x(y+z) = 62, y(z+x) =82 , and z(x+y) = 100, then xyz is
Choices:
120
60
70
90
Answer: A
Question: If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/3 and f(ab) = 1/9 then b= ?
Choices:
-1/3.
1/3.
-3.
12.
Answer: C
Question: Nicole cycles at a constant rate of 20 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 40 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
Choices:
b) x/2 minutes
c) 2x/3 minutes
d) 3x/2 minutes
e) 2x minutes
Answer: C
Question: For the symbol, m”n=n^2−m for all values of m and n. What is the value of 5”3?
Choices:
3
2
4
0
Answer: C
Question: 5 books consisting of 2 financial management, 2 marketing management and 1 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.
Choices:
1/120
1/32
1/48
1/56
Answer: A
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
12
15
13
17
Answer: C
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
300 m
400 m
None of these
Answer: A
Question: The Guests at a football banquet consumed a total of 406 pounds of food. if no individual guest consumed more than 2.5 pounds of food, What is the minimum number of guests that could have attended the banquet?
Choices:
161
162
163
164
Answer: C
Question: A man invests some money partly in 12% stock at 108 and partly in 10% stock at 60.To obtain equal dividends from both,he must invest the money in the ratio :
Choices:
3 : 2
4 : 5
16 : 15
None
Answer: A
Question: John want to buy a $100 Trouser at the store, but he think itâ€™s too expensive. Finally, it goes on sale for $75. What is the percent decrease?
Choices:
30%
40%
25%
60%
Answer: C
Question: The value of (log9 27 + log8 32) is:
Choices:
19/6
5/3
7
8
Answer: B
Question: A train 120 m long passed a pole in 12 sec. How long will it take to pass a platform 380 m long?
Choices:
50 sec
75 sec
100 sec
125 sec
Answer: A
Question: If 2 + 2/x = 3 - 3/x, then x =
Choices:
2/3
1
3/2
5
Answer: D
Question: mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Choices:
10
27
22
29
Answer: A
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
2000
267
270
274
Answer: C
Question: Larry, Michael, and Lily have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?
Choices:
21
120
504
5040
Answer: A
Question: A lady starts from P towards Q and realizes that at a point R, if he walks 50 km further he will be at a point S, which is as far away from R as it is from Q. What is the distance between P and Q if the distance between P and R is half the distance from R to Q?( Assume that P, Q, R and S are all on the same straight line)
Choices:
150 km
250 km
125 km
155 km
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Choices:
125/129
125/126
125/129
125/192
Answer: B
Question: A certain car can travel 32 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers)
Choices:
52
78
91
104
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
Rs.6729
Rs.6710
Rs.6725
Rs.6721
Answer: C
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Choices:
18
40
30
37
Answer: B
Question: Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed O?
Choices:
8
10
12
16
Answer: A
Question: If L is the least positive integer that is divisible by every integer from 1 to 9 inclusive, then L/2 is =
Choices:
2520
1890
1260
630
Answer: C
Question: A cistern 9 m long and 6 m wide contains water up to a breadth of 2 m 25 cm. Find the total area of the wet surface.
Choices:
122 m sqaure
135 m sqaure
188 m sqaure
None of these
Answer: A
Question: Which number is the odd one out?
159
248
963
357
951
852
Choices:
248
536
645
135
Answer: A
Question: In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?
Choices:
5%
0%
25%
20%
Answer: A
Question: If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms W in the sequence are smaller than the average?
Choices:
6
7
8
9
Answer: B
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration Q of the acid in the mixture?
Choices:
1/3
1/4
1/6
1/5
Answer: C
Question: In a simultaneous throw of 2 dice, what is the probability of getting a doublet?
Choices:
1/6
1/2
2/3
1/5
Answer: A
Question: The number 181 can be written as sum of the squares of 2 different positive integers. What is the difference of these 2 different integers?
Choices:
2
1
4
5
Answer: B
Question: Three-fourth of two-third of three-seventh of a number is 27. what is 10% of that number?
Choices:
12.6%
27%
25.2%
None of these
Answer: A
Question: A merchant marks goods up by 80% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 35%. What % discount did the merchant offer?
Choices:
25%
30%
35%
40%
Answer: A
Question: Anand and Deepak started a business investing Rs. 1500 and Rs. 2000 respectively. Out of a total profit of Rs. 1300, Deepak's share is:
Choices:
2687
8400
1688.12
1714.28
Answer: D
Question: Evaluate: (1 - 1/10)(1 - 1/11)(1 - 1/12)...(1 - 1/99)(1 - 1/100)
Choices:
6/100
7/100
8/100
9/100
Answer: D
Question: Amar takes as much time in running 22 meters as a car takes in covering 58 meters. What will be the distance covered by Amar during the time the car covers 2.6 km?
Choices:
978 m
970 m
986 m
640 m
Answer: C
Question: In a dairy farm, 55 cows eat 55 bags of husk in 55 days. In how many days one cow will eat one bag of husk ?
Choices:
40 days
46 days
50 days
55 days
Answer: D
Question: If $750 is deposited into a savings account at an annual interest rate of 4% that compounds monthly, what is the value of the investment after 6 years?
Choices:
$953.03
$973.25
$900.25
$910.00
Answer: A
Question: How many points (x, y) lie on the line segment between (15, 12 2/3) and (7, 17 2/3) such that x and y are both integers?
Choices:
1
7
8
9
Answer: A
Question: Two cards are drawn from a pack of 52 cards . the probability that either both are red or both are kings ,is
Choices:
78/587
55/221
85/25
78/54
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 108 km/hr, what is the length of the platform?
Choices:
240
287
267
480
Answer: D
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 6 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Choices:
8
16
24
52
Answer: D
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
Rs.76
Rs.98
Rs.18
Rs.02
Answer: B
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choices:
384
270
377
262
Answer: A
Question: The strength of a school increases and decreases every alternate year. It starts with increase by 10% and there-after the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?
Choices:
Decrease approximately by 2%
Increase approximately by 20%
Decrease approximately by 20%
None of these
Answer: D
Question: The area of a square is equal to twice the area of a rectangle of dimensions 32 cm * 64 cm. What is the perimeter of the square?
Choices:
256
456
656
756
Answer: A
Question: If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
Choices:
4
2
8
9
Answer: C
Question: The average of six numbers is X and the average of three of these is Y.If the average of the remaining
three is z, then
Choices:
2x = y + z
x = 2y + z
x = y + 2z
None of these
Answer: A
Question: L = {3, 4, 5, 5, 6, 7}
M = {2, 2, 2, 8, 8, 8}
N = {15, 15, 15, 15, 15, 15}
Rank those three sets from least standard D eviation to greatest standard deviation.
Choices:
M, L, N
M, N, L
RANKING=N, L, M
N, M,
Answer: C
Question: The arithmetic mean of 5 negative integers is -100. If the average of 3 of these integers is -90, what is the least possible value that one of the other 2 integers can have?
Choices:
-1
-229
90
-90
Answer: B
Question: For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 75 terms?
Choices:
40/41
75/76
150/151
151/75
Answer: B
Question: A wheel rotates 20 times every minute and moves 30 cm during each rotation. How many metres does the wheel move in one hour?
Choices:
360 metre
320 metre
1200 metre
260 metre
Answer: A
Question: In a one km race A gives B a start of 100m and in a one km race B gives a start of 80 m to C. In a 1 km race who will win and by how much distance from the worst performer between two losers?
Choices:
172 m
172 m
772 m
632 m
Answer: A
Question: How many 4-digit numbers contain no.2?
Choices:
98
28
29
22
Answer: A
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 300 revolutions. How many revolutions does the second wheel make in covering d feet?
Choices:
300y - x
300x - y
300y/x
300x/y
Answer: D
Question: If you divide 7^84 by 5, which remainder do you get?
Choices:
1
2
3
4
Answer: A
Question: In how many ways can 4 boys and 2 girls sit around a table in such a way that no two girls sit together?
Choices:
72
78
82
68
Answer: A
Question: A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
8 days
12 days
14 days
16 days
Answer: A
Question: The sum of three consecutive even numbers is 20 more than the first of these numbers. What is the middle number?
Choices:
9
11
Cannot be determined
None of these
Answer: A
Question: In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 9 men and 9 women?
Choices:
9C4 9C5
7C5 9C4
9C4 7C5
NONE
Answer: A
Question: a number when divided by 899 gives a remainder 63. what remainder will be obtained by dividing the same number by 29
Choices:
5
7
6
9
Answer: A
Question: For the integer n, if n*n*n is odd, then what is true
Choices:
n is odd and n*n is even
n is even
n*n is odd
None of these
Answer: A
Question: How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 5, and the digit 2 can be used only once?
Choices:
150
225
300
320
Answer: A
Question: A fellow borrowed a certain sum of money at 6% per annum at simple interest and in 6 years the interest amounted to Rs.672 less than the sum lent. What was the sum lent?
Choices:
1050
1250
1060
1110
Answer: A
Question: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:
Choices:
278
322
231
121
Answer: B
Question: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
Choices:
7:3
4:6
5:7
8:9
Answer: A
Question: The reflex angle between the hands of a clock at 10.25 is
Choices:
192 ½°
195°
197 ½°
None
Answer: C
Question: John and David can finish a job together in 3 hours. If John can do the job by himself in 4 hours, what percent of the job does David do?
Choices:
28%
26%
20%
25%
Answer: D
Question: During a certain week, a seal ate 55% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
Choices:
80
55
64
80
Answer: A
Question: The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?
Choices:
37500 sq.m
40000 sq.m
48000 sq.m
None of these
Answer: A
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 9/7%
42 2/7%
42 6/7%
42 6/8%
Answer: C
Question: Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 3:1 and 6:4 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
Choices:
23:11
21:11
24:11
25:11
Answer: B
Question: How many two digit numbers of distinct digits can be formed by using digits 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 9?
Choices:
3
4
5
6
Answer: D
Question: The G.C.D. of 1.08, 0.36 and 0.9 is:
Choices:
0.9
0.18
0.2
0.21
Answer: B
Question: Set A: {1, 3, 4, 6, 9, 12, 16}
If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 4?
Choices:
2/7
9/14
5/7
1/35
Answer: D
Question: There are 12 pieces of radioactive metal K that look identical. 11 of the pieces give the same radiation count when measured, the 12th piece is a counterfeit and gives a different radiation level, which may be more or less than the other 11. We are given a radiation scale, which can take 2 sets of samples and compare their added up radiation levels to tell us if the sums are the same or if different, which set has the higher level of radiation. What is the minimum number of comparisons we need on this scale to identify the counterfeit sample and to also determine whether it has more or less radiation than the other samples ?
Choices:
3
4
5
6
Answer: A
Question: The unit digit in the product 1457*7863*4575*9719 is?
Choices:
5
2
3
4
Answer: A
Question: A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5.4 hours, then the distance covered at 40 kmph is
Choices:
120km
100km
140km
148
Answer: D
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 39 degrees. Find the temperature on Friday?
Choices:
73 degrees
31 degrees
34 degrees
74 degrees
Answer: B
Question: The distance from City A to City B is 150 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 90 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?
Choices:
42.85
46
48
50
Answer: A
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10 min
90 min
18 min
20 min
Answer: A
Question: The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 4: 00 p.m., at what time were there 32 million bacteria in the dish?
Choices:
8: 00 p.m.
6: 00 a.m.
8: 00 a.m.
10: 00 a.m.
Answer: D
Question: Three interviewers, E, F, and G are interviewing 40 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer E admitted F applicants, G admitted 17 applicants, and C admitted 20 applicants, at least how many applicants get the admission?
Choices:
2
6
8
0
Answer: D
Question: There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 7 times as many paperback copies as hardback copies were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?
Choices:
360,000
354,300
392,000
396,900
Answer: B
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Choices:
9 3/7
9 3/8
9 3/2
9 3/1
Answer: B
Question: A glass was filled with 24 ounces of water, and 0.06 ounce of the water evaporated each day during a 12-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.03%
3%
2%
30%
Answer: B
Question: Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 40 pages per hour. If Tom starts reading a novel at 4:30, and Jan begins reading an identical copy of the same book at 5:20, at what time will they be reading the same page?
Choices:
9:00
8:40
7:50
7:00
Answer: C
Question: If the sum of the 4th term and the 12th term of an arithmetic progression is 30, what is the sum of the first 15 terms of the progression?
Choices:
275
260
225
230
Answer: C
Question: four children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
Choices:
24
540
720
840
Answer: A
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 20-meter platform and caught it after it had traveled 59.4 meters. How many times did the ball bounce?
Choices:
6
7
8
9
Answer: A
Question: Jonathan’s grandparents lend $20,000 to Jonathan at a simple annual interest rate of 10%. He pays them back 5 years later. How much do they receive?
Choices:
20,000∗1.5
20,000∗0.5
20,000∗1.1^5
(20,000∗0.1)^5
Answer: A
Question: Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2?
Choices:
1:2
2:9
2:1
2:2
Answer: A
Question: Look at this series: 42, 36, 39, __, 42, 45, 42, 48, ... What number should fill the blank?
Choices:
48
46
42
52
Answer: C
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
516 ways
154 ways
108 ways
145 ways
Answer: C
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
2677
2998
1640
1987
Answer: C
Question: A pharmaceutical company received $5 million in royalties on the first $25 million in sales of generic equivalent of one of its products and then $10 million in royalties on the next $100 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $25 million in sales to the next $100 million in sales?
Choices:
50%
70%
75%
80%
Answer: A
Question: A certain rectangular crate measures 20 feet by 20 feet by 20 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
Choices:
5
6
8
10
Answer: D
Question: The sector of a circle has radius of 21 cm and central angle 45o. Find its perimeter?
Choices:
92
93
94
58.5
Answer: D
Question: Fidget Spinners are sold in packages of four or seven only at the corner shop. If Borris bought 98 Fidget Spinners exactly, what could be the number of larger packs Borris bought?
Choices:
9
8
7
10
Answer: D
Question: If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
Choices:
50000
777768
2777
27811
Answer: A
Question: How many cuboids of length 5 m, width 3 m and height 2 m can be farmed from a cuboid of 12 m length, 14 m width and 10 m height.
Choices:
56
80
56
100
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 104 m, find the area of the rectangle?
Choices:
507 sq m
452 sq m
428 sq m
525 sq m
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
54
36
99
27
Answer: A
Question: Which of the following numbers has more than two distinct prime factors?
Choices:
385
425
471
500
Answer: A
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 7 brown mice in the experiment, how many mice in total are in the experiment?
Choices:
33
26
21
10
Answer: C
Question: If 2x + 3y = 37; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
Choices:
32
25
22
None of these
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 23 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240
288
195
211
Answer: C
Question: 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. 2 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
s.1812
s.4527
s.4530
s.4521
Answer: A
Question: Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water , then in how many journeys will 12 large, 14 medium and 21 small ships bring the same quantity of water?
Choices:
29 journeys
20
50
55
Answer: A
Question: A mixed doubles tennis game is to be played between two teams. There are four married couples. No team is to consist of a husband and his wife. What is the maximum number of games that can be played.
Choices:
21
36
42
46
Answer: C
Question: A triangle has a perimeter 14. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Choices:
6
8
9
5
Answer: A
Question: If a mixture is 1⁄2 alcohol by volume and 3⁄2 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
Choices:
4⁄7
3⁄4
4⁄3
7⁄4
Answer: B
Question: David has d books, which is 3 times as many as Jeff and 3/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
Choices:
2*d
10/3*d
7/2*d
9/2*d
Answer: A
Question: What comes next in the series?
16 72 38 94 50 __
Choices:
25
17
19
16
Answer: D
Question: Johnny bought six peanut butter cans at an average price (arithmetic mean) of 38.0¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31¢, then what is the average price, in cents, of the two returned peanut butter cans?
Choices:
11
52
66
67.5
Answer: B
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. the distance between his house and school is :
Choices:
5.5 km
6 km
7 km
None
Answer: B
Question: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 1 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 5 stocks are possible?
Choices:
460
60
450
720
Answer: C
Question: The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
Choices:
30
20
10
60
Answer: A
Question: A certain bacteria colony doubles in size every day for 22 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
Choices:
7.5
21
15
19
Answer: B
Question: A and B go around a circular track of length 1200 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Choices:
240 sec
186 sec
167 sec
168 sec
Answer: A
Question: David mixed 10 kg of ghee at Rs. 200 per kg with 30 kg ghee at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 10% in the transaction?
Choices:
Rs. 120
Rs. 130
Rs. 150
Rs. 160
Answer: C
Question: How many three digits number greater than 600 can be formed using the digits 4,5,6,7,8?
Choices:
65
75
25
15
Answer: B
Question: A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally y% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
Choices:
80y/(1-y)
75y/(1-y)
100y/(80-0.2y)
100y/(80+0.2y)
Answer: D
Question: Average weight of 10 people increased by 2 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is
Choices:
55
60
65
70
Answer: C
Question: If the third day of the month is Monday, Which of the following will be the fifth day from 21st of that month?
Choices:
Monday
Wednesday
Thursday
None of these
Answer: B
Question: The compound ratio of 5:6, 3:2 and 4:5?
Choices:
1:0
1:7
1:1
1:6
Answer: C
Question: $700 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
Choices:
$150
$125
$280
$250
Answer: C
Question: If x = 7p and y = 5p + 1, then for what value of p, x is equal to y ?
Choices:
0.5
2
-1
0
Answer: A
Question: A part of certain sum of money is invested at 9% per annum and the rest at 21% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
4:8
7:3
4:0
4:9
Answer: B
Question: There are 27 different three-digit integers that can be formed using only the digits 3, 4 and 5. If all 27 of the integers were listed, what would their sum be?
Choices:
11,988
12,088
12,188
12,288
Answer: A
Question: Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?
Choices:
2677
1052
2872
18711
Answer: B
Question: If the cost price of 60 boxes is equal to the selling price of 50 boxes, the gain percent is
Choices:
10
15
20
25
Answer: C
Question: Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 75th number in this set?
Choices:
597
613
616
621
Answer: A
Question: A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?
Choices:
4056
5000
5400
5600
Answer: A
Question: A, B, C, D and E are ve
consecutive odd numbers The sum of A and C is 146. What is
the value of E?
Choices:
81
71
79
None of these
Answer: C
Question: Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?
Choices:
500
279
1277
198
Answer: A
Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 36. The quotient obtained by him was 30. The correct quotient is?
Choices:
A)10
C)28
D)29
E)30
Answer: A
Question: A seller of used cars has 12 cars to sell and each of his clients selected 4 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
Choices:
9
12
14
16
Answer: A
Question: Find the least number must be subtracted from 724946 so that remaining no.is divisible by 10?
Choices:
2
4
6
8
Answer: C
Question: How many 4's are there preceded by 7 but not followed by 3?
5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3
Choices:
4
3
5
None
Answer: A