antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
12 min
25 min
50 min
20 min
Answer: A
Question: A retailer bought a hat at wholesale and marked it up 60% to its initial price of $24. By how many more dollars does he need to increase the price to achieve a 100% markup?
Choices:
4
5
6
7
Answer: C
Question: Compare the rates of two trains, one travelling at 45 km/hr and other is at 10m/s?
Choices:
5:4
1:5
2:7
3:5
Answer: A
Question: If P, x, y, and z are positive integers and (x)×(y)×(z)=P^2, which of the following could be the values of x, y, and z?
Choices:
9, 25, 24
2, 49, 32
2, 9, 16
8, 16, 36
Answer: B
Question: A train is running between Patna to Howrah.Seven people enter the train somewhere between Patna and Howrah.It is given that nine stops are there between patna and howrah.In how many ways can the tickets be purchased if no restriction is there with respect to the number of tickets at any station?(2 people donot buy the same ticket)
Choices:
45c7 ways
44c7 ways
46c7 ways
45c8 ways
Answer: A
Question: How many positive integers between 5 and 5000(both are inclusive) are there such that they are multiples of 5?
Choices:
1000
999
1001
1005
Answer: A
Question: If x^2 - 9 = 0 and x > 0, which of the following must be equal to 0 ?
Choices:
x^2 - 9x + 20
x^2 - 2x + 3
x^2 + 2x - 3
x^2 - 5x + 6
Answer: D
Question: Fifty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
Choices:
80
84
120
140
Answer: B
Question: f n = 3^2 - 2^2, which of the following is NOT a factor of n?
Choices:
10
4
15
20
Answer: B
Question: If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 150% of j ?
Choices:
466
35
350
3500
Answer: A
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
25 km
28 km
24 km
None of these
Answer: D
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Choices:
Rs.10,000
Rs. 11,980
Rs. 13,600
Rs.14,700
Answer: D
Question: Which of the following equations has a root in common with x^2−4x+3=0 ?
Choices:
x^2-2x+1=0
x^2-x-1=0
x^2-10x-1=0
x^2+1=0
Answer: A
Question: 2 cyclist begin training at same time A complete each lap in 4 sec B in 6 minutes how many minutes after start will both cyclist pass at exactly same spot when they begin to cycle
Choices:
260 seconds
360 seconds
460 seconds
560 seconds
Answer: B
Question: The sum of four consecutive odd numbers is equal to the sum of 3 consecutive even numbers. Given that the middle term of the even numbers is greater than 101 and lesser than 208, how many such sequences can be formed?
Choices:
26
25
33
50
Answer: A
Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,74,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
Choices:
0.14544
0.25632
0.2139
0.63435
Answer: C
Question: A person can walk at a constant rate of 8mph and can bike at a rate of 16mph. If he wants to travel 80 miles in 8 hours using bike and walking at their constant rates, how much distance would he require to walk?
Choices:
30
48
60
72
Answer: B
Question: Calculate 24 x 99
Choices:
2467
2476
4276
2376
Answer: D
Question: Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 4 more than the average expenditure of all the nine. The total money spent by all of them was
Choices:
31.5
29.25
27
None of the above
Answer: A
Question: Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $6,500, what is the bonds face value?
Choices:
$5,200
$7,425
$7,500
$9,375
Answer: A
Question: Aaron had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he take along with him?
Choices:
3000
4000
1000
5000
Answer: A
Question: A vendor sells 80 percent of the pears he had and throws away 50 percent of the remainder. The next day, the vendor sells 80 percent of the remaining pears and throws away the rest. In total, what percent of his pears does the vendor throw away?
Choices:
8
10
12
14
Answer: C
Question: If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+89)=?
Choices:
6200
6050
6075
5075
Answer: C
Question: Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have?
Choices:
$24
$30
$36
$40
Answer: A
Question: A survey was sent to 90 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
Choices:
6%
14%
28%
63%
Answer: A
Question: Population of a city in 20004 was 1500000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Choices:
545454
465785
456573
3251625/2
Answer: D
Question: Four points lie on the circumference of a circle. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points?
Choices:
3
6
15
20
Answer: A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 18 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
468
877
278
178
Answer: A
Question: In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:
Choices:
18
17
16
15
Answer: A
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 6095, what is the length of the plot in metres?
Choices:
200
230
276
1999
Answer: B
Question: John's grade was 80th percentile of the 100 grades for his class. Of the 60 grades from another class, 20 were higher than John's, and the rest were lower. If no other grade was the same as John's grade, then John's grade was what percentile of the grades of the two classes of two classes combined?
Choices:
75th
83rd
85th
94th
Answer: A
Question: The total of the ages of Mahesh, Suresh, Ramesh is 111years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?
Choices:
46years
42years
35years
30years
Answer: A
Question: Ajay can walk 6km in 1 hour. In how many hours he can walk 70km?
Choices:
11.6hrs
15.6hrs
20.1hrs
30hrs
Answer: A
Question: What is the average (arithmetic mean) of all multiples of 10 from 10 to 500 inclusive?
Choices:
255
200
205
210
Answer: A
Question: If 65% of a number is greater than 5% of 60 by 23, what is the number?
Choices:
40
55
30
60
Answer: A
Question: Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?
Choices:
Rs.2380
Rs.2329
Rs.2329
Rs.2312
Answer: A
Question: 135 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Choices:
32 liters
41 liters
54 liters
34 liters
Answer: C
Question: Out of a classroom of 5 boys and 6 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?
Choices:
2/33
4/33
8/165
19/165
Answer: B
Question: Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8010/-. Find out the amount that he borrowed.
Choices:
s. 5269
s. 5228
s. 5201
s. 52192
Answer: C
Question: Find the value of x when the sum of 20x,(2x+15),(3x-12)and (12x+5) is 674?
Choices:
12
18
20
22
Answer: B
Question: If u > 1 and v = 2^(u −1), then 4^u =
Choices:
4v^2
v^2
v^2/4
v^2/16
Answer: A
Question: What is the sum of the squares of the first 20 natural numbers (1 to 20)?
Choices:
2870
5650
6650
7650
Answer: A
Question: A deer is standing 60 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 33 meters from the tunnel. If the deer ran in the opposite direction it would barely escape out the eastern entrance just as the train came out of the eastern entrance. How long is the tunnel in meters?
Choices:
132
137
142
147
Answer: B
Question: The value of (10^8-10^2)/(10^5-10^3) is closest to which of the following?
Choices:
10
10^2
10^3
10^4
Answer: C
Question: What is the units digit of (6!*4! + 6!*5!)/12?
Choices:
0
2
1
4
Answer: A
Question: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ?
Choices:
74
27
91
11
Answer: A
Question: The difference between the length and breadth of a rectangle is 24 m. If its perimeter is 210 m, then its area is:
Choices:
2420 m2
2480 m2
2520 m2
2600 m2
Answer: D
Question: The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 13 on the fourth day, his average earning for the whole week is ?
Choices:
Rs 16
Rs. 21
Rs. 25.71
None of these
Answer: B
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 1000 m?
Choices:
127.5 m.
122.2 m
222.9 m
212.5 m
Answer: D
Question: A grocery shop has a sale of Rs. 6635, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
4184
4012
4791
5291
Answer: C
Question: John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $17, what was the price before the first discount?
Choices:
$30.22
$28.44
$67.54
$65.23
Answer: A
Question: When m is divided by 7, the remainder is 5. When m is divided by 13, the remainder is 6. If 1 < m < 200, what is the greatest possible value of m?
Choices:
19
61
74
110
Answer: D
Question: Albert and Bob are painting rooms at constant, but different rates. Albert takes 1 hour longer than Bob to paint n rooms. Working side by side, they can paint a total of 3n/4 rooms in 4/3 hours. How many hours would it take Albert to paint 3n rooms by himself?
Choices:
9
12
D.13
15
Answer: B
Question: Jar X is 1/3 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity?
Choices:
5/12
7/12
7/18
11/18
Answer: B
Question: The ratio of the volumes of two cubes is 729 : 125. What is the ratio of their total surface areas?
Choices:
81 : 22
81 : 24
81 : 25
81 : 29
Answer: C
Question: There are 5 bags three of which each contains 5 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a white ball has been drawn, find the chance that it came from second group.
Choices:
6/35
8/25
14/89
3/5
Answer: C
Question: -84x19+100=?
Choices:
2801
-1496
-2071
None of them
Answer: B
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 70%?
I will see what is the quickest way to solve it then I will provide the explanation
Choices:
7
5
10
11
Answer: B
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 4.5 km long?
Choices:
3
5
6
9
Answer: C
Question: In an election a candidate who gets 60% of the votes is elected by a majority of 900 votes. What is the total number of votes polled?
Choices:
A)4500
C)6900
D)7520
E)6000
Answer: A
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.45000, find their shares?
Choices:
s.18000, Rs.35059
s.16000, Rs.27000
s.14000, Rs.25000
s.18000, Rs.27000
Answer: D
Question: The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance traveled downstream in 15 minutes is:
Choices:
5.25
7.25
6.25
5.1
Answer: C
Question: If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.
Choices:
2:1
3:1
5:1
4:1
Answer: A
Question: In how many ways can you sit 7 people on a bench if 2 of them must sit together?
Choices:
1440
2,400
4,320
40,320
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:
26 kg
16 kg
31 kg
18 kg
Answer: C
Question: P and Q started a business investing Rs. 85,000 and Rs. 45,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
17:0
17:4
17:9
17:3
Answer: C
Question: One man or two women or three boys can do a work in 44 days then one man, one women and one boy together?
Choices:
24 days
26 days
27 days
28 days
Answer: A
Question: Solve this logic number sequence puzzle by the correct digit
8080 = 6
1357 = 0
2022 = 1
1999 = 3
6666 = ?
Choices:
4
5
7
8
Answer: A
Question: A train 90 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
8
5
4
Answer: C
Question: It takes 7 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 7 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 4:00 pm?
Choices:
4:45 pm
5:12 pm
5:48 pm
6:24 pm
Answer: D
Question: When tossing two coins once, what is the probability of heads on both the coins?
Choices:
5/8
1/9
1/4
2/5
Answer: C
Question: In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 10 owned rabbits, and 10 owned exactly two of the three types of pet, how many people owned all three?
Choices:
5
8
12
32
Answer: A
Question: If 5^z × 5^y = (125)^4, then what two values will satisfy z and y such that it equals the value of 125^4?
Choices:
2, 3
5, 7
Both A and B
Neither of the Above
Answer: B
Question: The volume of the sphere QQ is (dfrac{37}{64}%)less than thevolume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP?
Choices:
50%
75%
80%
90%
Answer: B
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
152 m
639 m
239 m
Answer: A
Question: How many days are there in x weeks x days?
Choices:
8x
14x
2x
1x
Answer: A
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $250?
Choices:
2,100
2,628
2,124
2,256
Answer: B
Question: The total age of A and B is 14 years more than the total age of B and C. C is how many years younger than A?
Choices:
14
C is elder than A
Data inadequate
None
Answer: A
Question: A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 350 dollars, and, in a third, loses 60. In the end he finds he has gained 200 dollars, by the three together. How much did he gain or lose bv the first ?
Choices:
90
-90
-80
None
Answer: B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
2.9 sec
2.7 sec
2.3 sec
Answer: A
Question: Find the odd man out. 3576, 1784, 888, 440, 216, 105, 48
Choices:
105
888
1784
1322
Answer: A
Question: Brand X coffee costs twice as much as brand Y coffee. If a certain blend is 1/4 brand X and 3/4 brand Y. what fraction of the cost of the blend is Brand X?
Choices:
a. 2/5
3. 1/2
4. 2/3
5. 3/4
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
88
21
Answer: A
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5,6 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
Choices:
5/6
21/65
7/3
2/7
Answer: B
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
22 1/2
22 1/4
22 2/2
23 1/2
Answer: A
Question: Dave has d books, which is 3 times as many as Jercy and 1/2 as many as Pavi. How many books do the three of them have altogether, in terms of d?
Choices:
7/3*d
9/2*d
7/2*d
10/3*d
Answer: D
Question: If (5!)^2–(4!)^2=2^a3^b13^c and a, b, and c are integers, then what is the value of a + b + c?
Choices:
12
2
1
0
Answer: A
Question: A retailer buys 60 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Choices:
65
72
78
20
Answer: A
Question: Johnny bought six peanut butter cans at an average price (arithmetic mean) of 36.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31.5¢, then what is the average price, in cents, of the two returned peanut butter cans?
Choices:
46.5
47.5
66
67.5
Answer: A
Question: 5n + 7 > 12 and 7n - 5 < 44; n must be between which numbers?
Choices:
2 and 6
0 and 9
2 and 7
1 and 7
Answer: D
Question: Tali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1. She then removes 1/2 of the green bricks and adds 1/3 more blue bricks, reducing the size of the tower by 14 bricks. How many red bricks will she need to add in order to double the total number of bricks used to build the original tower?
Choices:
96
110
120
192
Answer: D
Question: If 'A' completes a piece of work in 3 days, which 'B' completes it in 5 days and 'C' takes 10 days to complete the same work. How long will they take to complete the work , if they work together?
Choices:
1.5 days
7 days
9.8 days
9 days
Answer: A
Question: After 19 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Choices:
4 liters
3 liters
1 liters
6 liters
Answer: C
Question: One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Choices:
5:4
5:1
5:5
5:2
Answer: A
Question: What will come in place of the x in the following Number series? 612, 207, 72, 27, 12, x
Choices:
7
8
9
10
Answer: A
Question: A man complete a journey in 30 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 10 km/hr. Find the total journey in km.
Choices:
224 km
230 km
400 km
234 km
Answer: C
Question: How many of the positive divisors F of 120 are also multiples of 4 not including 120?
Choices:
4.
5.
7.
8.
Answer: C
Question: Find the L.C.M of 2/15, 3/10, 6/5
Choices:
6/5
7/5
8/5
9/5
Answer: A
Question: If 1/5th of a number decreased by 5 is 5, then the number is
Choices:
50
60
75
None
Answer: A
Question: In what time will a train 45 m long cross an electric pole, it its speed be 108 km/hr?
Choices:
1.25
1.5
2.5
3.5
Answer: B
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Choices:
12
18
24
29
Answer: C
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
16 sec
36 sec
18 sec
17 sec
Answer: B
Question: Mrs. Rodger got a weekly raise of $175. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$231
$156
$175
$200
Answer: C
Question: What is the maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?
Choices:
20%
25%
16.67%
33.33%
Answer: D
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
73
90
77
12
Answer: B
Question: If positive integer n is divisible by both 6 and 21, then n must be divisible by which of the following?
Choices:
12
14
24
48
Answer: B
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
Choices:
720
730
740
750
Answer: A
Question: Varma can read a book in k minutes. What part of the book can he read in 5 minutes?(k>8)
Choices:
k/8
5/K
k-8
k-6
Answer: B
Question: Xavier starts from P towards Q at a speed of 40 kmph and after every 12 mins increases his speed by 20 kmph. If the distance between P and Q is 56 km, then how much time does he take to cover the distance?
Choices:
48
44
36
30
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.25
7.4
5
6
Answer: A
Question: Martha has 5 dogs and 5 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
Choices:
9
10
18
20
Answer: D
Question: Line k is in the rectangular coordinate system. If the b-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
Choices:
-3b + 2y = 6
3b - 2y = 6
2b - 3y = 6
-2b - 3y = 6
Answer: A
Question: In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all the cards in the box, and that’s the “number” of the box. Then, we put those three numbers in order, from lowest to highest, and that is our set. How many different sets E can be created from this process?
Choices:
105
210
420
630
Answer: A
Question: If x^3 > y^2 > z, which of the statements could be true?
I. x > y > z
II. x < z < y
III. y < x < z
Choices:
III only
I and II only
II and III only
I, II and III
Answer: D
Question: A Boeing 757 flies a direct route from Dallas, TX, to Phoenix, AZ and then returns to Dallas, TX. The flight is 900 miles one way. It took 2 hrs and 15 minutes for the flight to Phoenix and 2 hrs for the flight back to Dallas. What was the speed of the wind in mph?
Choices:
25 mph
30 mph
35 mph
40 mph
Answer: A
Question: Line k is in the rectangular coordinate system. If the v-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
Choices:
-3v + 2y = 6
3v - 2y = 6
2v - 3y = 6
-2v - 3y = 6
Answer: A
Question: Sum of two numbers prime to each other is 8 and their L.C.M. is 15. What are the numbers?
Choices:
3 and 5
4 and 5
5 and 10
6 and 8
Answer: A
Question: Meg and Bob are among the 3 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
Choices:
3
60
90
120
Answer: A
Question: If 9 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
Choices:
9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
9 × 10
36
45
Answer: C
Question: Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/4, 1/8, and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?
Choices:
(n-1)/32n
1/8n
(n+2)/2n
(3n-2)/2n
Answer: A
Question: On dividing 199 by a number, the quotient is 11 and the remainder is 1. Find the divisor.
Choices:
B)14
C)16
D)18
E)22
Answer: C
Question: Median R of price of the car is 52,000. which could be the median of the other two.
35000, 44000, x, y, 57000.
Choices:
47000
48000
51,000
56,000
Answer: D
Question: Find the L.C.M. of 72, 108 and 2100.
Choices:
37800
37200
37500
None of them
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1100 more than D, what is B's share?
Choices:
Rs. 1500
Rs. 2200
Rs. 2500
none of the above
Answer: B
Question: Tarun bought a T.V with 20% discount on the labelled price. Had he bought it with 25% discount? He would have saved Rs. 500. At what price did he buy the T.V?
A. Rs. 5000 B. Rs. 10000
Choices:
Rs.6000
Rs.7500
Rs.80000
Rs. 10000
Answer: D
Question: It is known that no more than 7 children will be attending a party. What is the smallest number of cookies that must be brought to the party so that each child receives the same number of cookies?
Choices:
250
320
420
560
Answer: C
Question: We had $3500 left after spending 30% of the money that we took for shopping. How much money did we start with?
Choices:
$4800
$5000
$5200
$5400
Answer: B
Question: If y > 0, (2y)/20 + (3y)/10 is what percent of y?
Choices:
40%
60%
70%
80%
Answer: A
Question: If 148/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer
Choices:
III only
I and II only
II and III only
I, II and III
Answer: B
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
Choices:
8!
9!
10!
11!
Answer: A
Question: A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
21 (1/3) kilometre per hour
81 (1/3) kmph
21 (1/7) kmph
23 (1/3) kmph
Answer: A
Question: Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
Choices:
10 min. 20 sec.
12 min. 30 sec.
14 min. 40 sec.
15 min. 40 sec.
Answer: A
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
2/3
4/5
5/7
Answer: A
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Choices:
15 kmph
18 kmph
19 kmph
12 kmph
Answer: A
Question: The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?
Choices:
60%
58%
50%
20%
Answer: C
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 16 years more than twice the age of the son. Find the present age of the father.
Choices:
38
29
51
48
Answer: C
Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $150 ?
Choices:
$2
$3
$4
$5
Answer: A
Question: The average height of 60 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
Choices:
150.8 cm
276 cm
287 cm
297 cm
Answer: A
Question: The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
290
Rs.342
250
253
Answer: B
Question: If the price of gasoline increases by 25% and a driver intends to spend only 10% more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?
Choices:
8%
10%
12%
15%
Answer: C
Question: A bus travel 5/7 of its speed covers 42 km in 1 hr 40 min48 sec. What is theactual speed of the bus ?
Choices:
35 km/hr
40 km/hr
53 km/hr
55 km/hr
Answer: A
Question: A tank is 25% full of oil. The oil consists of 25% WTI Crude Oil and 75% Brent Crude Oil. 2/3 rd of the remainder of the tank is filled with 400 barrels of WTI Crude Oil. How much WTI Crude Oil is in the tank?
Choices:
437.5 barrels
450 barrels
500 barrels
650 barrels
Answer: B
Question: What is the maximum value of x3y3 + 3 x*y when x+y = 8?
Choices:
4144
455
4189
4156
Answer: A
Question: A sum of money at simple interest amounts to Rs. 845 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
s. 690
s. 698
s. 700
s. 728
Answer: D
Question: In the set of positive integers from 1 to 70, what is the sum of all the odd multiples of 5?
Choices:
245
240
200
190
Answer: A
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
Choices:
4 days
6 days
5 days
3 days
Answer: A
Question: David has d books, which is 3 times as many as Jeff and 2/3 as many as Paula. How many books do the three of them have altogether, in terms of d?
Choices:
7/3*d
17/2*d
7/2*d
9/2*d
Answer: B
Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Choices:
6
12
15
20
Answer: A
Question: A bat is bought for Rs.400 and sold at a gain of 20% find its selling price
Choices:
Rs.480/-
Rs.520/-
Rs.540/-
Rs.560/-
Answer: A
Question: If the number is divided by 3, it reduced by 34. The number is
Choices:
51
45
40
36
Answer: A
Question: As a treat for her two crying children, a mother runs to the freezer in which she has three cherry ice pops, three orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
1/6
5/18
11/120
5/6
Answer: C
Question: If 2^z is a factor of 30!, which of the following could be the value of z?
I. 23
II. 26
III. 24
Choices:
II ONLY
BOTH I AND II
III ONLY
NONE OF THE ABOVE
Answer: A
Question: If 4 (P's Capital) = 6 (Q's Capital) = 10 (R's Capital), then out of the total profit of Rs 4650, how much R will receive?
Choices:
600
900
800
500
Answer: B
Question: How many four letter words are formed using the letters of the word ENTERTAINMENT?
Choices:
1716
1816
1516
1761
Answer: A
Question: What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?
Choices:
Rs.64.67
Rs.64.08
Rs.64.10
Rs.64.22
Answer: C
Question: In a certain animal shelter, the ratio of the number of catsto the number of dogs is 15 to 7. If 16 additional dogs were to be taken in by the shelter, the ratio of the number of cats to the number of dogs would be 15 to 11. How many cats are in the shelter?
Choices:
25
30
45
60
Answer: C
Question: In the new budget the price of ghee rose by 50%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?
Choices:
9.1%
10.9%
12.6%
33.33%
Answer: D
Question: A train 400 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
279 m
500 m
289 m
900 m
Answer: D
Question: The compound interest earned on a sum for the second and the third years are $1400 and $1498 respectively. What is the rate of interest?
Choices:
5%
7%
9%
11%
Answer: B
Question: Ashok secured average of 78 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choices:
74
78
98
None of these
Answer: C
Question: Six bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes ?
Choices:
11
21
31
32
Answer: C
Question: y = 248 - 390x
Which of the following values of x gives the greatest value of y in the equation above?
Choices:
100
0.5
-2
-1
Answer: C
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
3/41
9/42
5/44
5/47
Answer: B
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4
8
2
3
Answer: A
Question: A, Band C are three contestants in a kmrace. If A can give B a start of 40 m and A can give C a start of 64m how many metre's start can B give C ?.
Choices:
178 m
936 m
234 m
713 m
Answer: B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is
Choices:
120
130
150
140
Answer: C
Question: A man, a woman and a boy can complete a job in 3,4 and 12 days respectively.
How many boys must assist 1 man and 1 woman to complete the job in ¼ of a day?
Choices:
41
22
33
14
Answer: A
Question: Once upon a time in ancient times there was a king who was very found of wines. He had a huge cellar, which had 1000 different varieties of wine all in different caskets (1000 caskets in all). In the adjoining kingdom there was a queen who was envious of the king’s huge wine collection. After some time when she could not bear it any more show conspired to kill her by poisoning all his wine caskets. So she sent one sentry to poison all the caskets, but no sooner had the sentry poisoned only one wine casket, he was caught and killed by the Royal guards. Now the king had a major problem in his hand so as to identify the poisonous casket, which he gave to the Minister. But the situation had two peculiarities.
I: Any one who takes even one drop from the poisonous casket will die.
II: He will die only after one month.
The king also handed over few prisoners to the Minister as “taster” of those caskets, as their lives was of little value.
If the Minister is allowed only 1 month to find out the poisonous casket, what is the minimum number of prisoners he should use as “tasters”?
Choices:
1024
1025
1026
1027
Answer: A
Question: Three numbers are in the ratio 3:5:7. The largest number is 21. What is the difference between smallest and largest number?
Choices:
10
12
14
16
Answer: B
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 42 revolutions, what will be the number of revolutions made by the larger wheel?
Choices:
12
21
9
18
Answer: D
Question: Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts S1,S2,S3 and S4 comined as shown in the table above. What is the expected number T of defective chips in a shipment of 60000 chips?
Choices:
20
22
24
25
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'UP' is ?
Choices:
1
24
520
24
Answer: A
Question: Mercy's income is 10 percent more than Timothy's income, and Timothy's income is 22 percent less than Ryan's income. What percent of Ryan's income is Mary's income?
Choices:
85.5%
82.5%
84.5%
80.5%
Answer: A
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in metres) is:
Choices:
525
750
850
None
Answer: B
Question: 16 men can do a piece of work in 16 days .4 days after they started the work, 8 more men joined them. How many days will they now take to complete the remaining work
Choices:
8 days
9 days
10 days
None of these
Answer: A
Question: A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm deep. The number of cubical blocks each of edge 20 cm that can be packed inside the box is
Choices:
60
120
150
None
Answer: B
Question: The present average age of a family of five members is 24 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)
Choices:
17 years
17.5 years
16.5 years
15.5 years
Answer: B
Question: In a partnership between A, B and C. A's capital is Rs.5500. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
19766
29172
12925
11267
Answer: C
Question: Virginia, Adrienne, and Dennis have taught history for a combined total of 96 years. If Virginia has taught for 9 more years than Adrienne and for 12 fewer years than Dennis, for how many years has Dennis taught?
Choices:
32
35
41
42
Answer: D
Question: Today Jim is twice as old as Fred, and Sam is 2 years younger than Fred. Seven years ago Jim was 13 times as old as Sam. How old is Jim now?
Choices:
12
16
20
24
Answer: C
Question: In how many different ways can the letters B, E, N, E, F, I, C, I, A, L be arranged?
Choices:
10×9×8×7×6×5×3×2
8!
9!
10!
Answer: A
Question: A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calculated D to be 12 on Wednesday, what would be the value of D calculated on the following Saturday?
Choices:
2520
2960
3360
3710
Answer: A
Question: 4 is what percent of 50?
Choices:
8%
10%
20%
500%
Answer: A
Question: John purchased a house for Rs.45000 and a site for Rs.25000 respectively, if he sold the house for Rs.55000 and the site for Rs.16000, then find the resultant percentage of gain?
Choices:
1.40%
1.41%
1.42%
1.43%
Answer: C
Question: The monthly rent of a shop of dimension 20feet × 18feet is Rs.1440. What is the annual rent per square foot of the shop?
Choices:
48
68
87
92
Answer: A
Question: 1 2 1 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 2 1 .........,sum of first 1230 terms of series
Choices:
2411
2511
2611
2487
Answer: A
Question: A rectangular box of volume Y has width, depth and height in the ratio of 3:2:4 (in that order). What is the height as a function of Y?
Choices:
(4Y/6)^(1/2)
(Y/4)^(1/2)
(2Y/3)^(1/2)
(Y)^(1/2)
Answer: A
Question: Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 21 in two years, at the same percent rate per annum?
Choices:
Rs. 200
Rs. 202
Rs. 238
Rs. 218
Answer: A
Question: The total of company C's assets in 1994 was 200% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Choices:
8N
9N
12N
15N
Answer: D
Question: If n = 8^9 – 8, what is the units digit of n?
Choices:
0
1
2
3
Answer: A
Question: How often between 11 O'clock and 12 O'clock are the hands of the clock together at an integral number value?
Choices:
56
4
5
3
Answer: C
Question: A bag contains 4 red, 3 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/23
1/6
4/27
3/23
Answer: B
Question: 20 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence.
Choices:
20
21
22
23
Answer: A
Question: In an election between two candidates, the first candidate got 60% of the votes and the second candidate got 240 votes. What was the total number of votes?
Choices:
600
800
1000
1200
Answer: A
Question: In the manufacture of a certain product, 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
Choices:
0.2%
0.8%
1.25%
2.0%
Answer: A
Question: The weight of a glass of jar is 10% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
Choices:
1/3
2/5
1/2
5/9
Answer: D
Question: A number is increased by 50 % and then decreased by 50 %. Find the net increase or decrease per cent.
Choices:
25%
17%
13%
16%
Answer: A
Question: A certain fraction is equivalent to 3/5. If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the sum of the numerator and denominator of the original fraction?
Choices:
35
28
56
21
Answer: C
Question: Sonika deposited Rs.6200 which amounted to Rs.7200 after 5 years at simple interest. Had the interest been 3% more. She would get how much?
Choices:
8130
8134
8556
9808
Answer: A
Question: From the given choices select the odd man out
Choices:
37, 14, 19, 0
37, 14, 19, 2
37, 14, 19, 7
37, 14, 19, 1
Answer: C
Question: If x is a positive integer, which of the following must be odd?
Choices:
x^2+x
x^2+x+1
x^2−1
3x^2−3
Answer: B
Question: If |x – 9/2| = 5/2, and if y is the median of a set of s consecutive integers, where s is odd, which of the following must be true?
I. xys is odd
II. xy(s^2 + s) is even
III. x^2y^2s^2 is even
Choices:
II only is true
I and III
II and III
I, II, and III
Answer: A
Question: When the positive integer p is divided by 9, the remainder is 5. What is the remainder when 3p is divided by 9?
Choices:
1
3
4
6
Answer: D
Question: The sum of the squares of the first 15 positive integers (1^2 + 2^2 + 3^2 + . . . + 15^2) is equal to 1270. What is the sum of the squares of the second 15 positive integers (16^2 + 17^2 + 18^2 + . . . + 30^2) ?
Choices:
3490
6785
8245
9255
Answer: C
Question: Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the new ratio becomes 40:57. What is Sumit present salary.
Choices:
34000
38000
40000
None of these
Answer: B
Question: A retailer sold an appliance for $100. If the retailer's gross profit on the appliance was 25 percent of the retailer's cost for the appliance, how many dollars was the retailer's gross profit?
Choices:
$16
$20
$24
$25
Answer: B
Question: Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3982. What is the difference between Rohan’s and Sudhir’s share in the profit?
Choices:
Rs.350
Rs.352
Rs.362
Rs.368
Answer: C
Question: six friends go to pizza corner where there are different types of pizza available. six different flavours are there and they have to select 2 flavours from 6 flavours.In how many ways they can select?
Choices:
12
13
14
15
Answer: D
Question: A card player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many hearts as clubs and twice as many diamonds as hearts. How many spades does he hold?
Choices:
6
8
9
10
Answer: A
Question: A certain bag contains 100 balls — 50 white, 30 green, 10 yellow, 7 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.9
0.6
0.8
0.5
Answer: A
Question: y and z represents 2 gas stations which are 270 km apart. if two cars leave each gas station and drive towards each other, at what time will they meet each other given that the first car left the gas station at 10 a.m. and travels at a speed of 75 kmph while the second car left the station at 11 a.m. and travels at a speed of 55 kmph.
Choices:
11.30 p.m
2.30 p.m
12.30 p.m
1.30 p.m
Answer: C
Question: What should come in place of question mark (?) in the following equation?
5 3⁄5 ÷ 3 11⁄15 + 5 1⁄2 = ?
Choices:
7
7 1⁄2
6 1⁄2
None of these
Answer: A
Question: The cost of 2 chairs and 3 tables is Rs.1500. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Choices:
287
277
188
300
Answer: D
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 30 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Choices:
18
20
24
30
Answer: A
Question: If x^2+(1/x^2)=3, x^4+(1/x^4)=?
Choices:
7
12
14
15
Answer: A
Question: A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
Choices:
5
9
6
3
Answer: B
Question: Anil grows tomatoes in his backyard which is in the shape of a square. Each tomato takes 1 cm2 in his backyard. This year, he has been able to grow 131 more tomatoes than last year. The shape of the backyard remained a square. How many tomatoes did Anil produce this year?
Choices:
4096
4356
Insufficient Data
None of these
Answer: B
Question: A football team lost 5 yards and then gained 9. What is the team's progress?
Choices:
4
5
6
8
Answer: A
Question: Pipe A can fill a tank in 8 hours. Due to a leak at the bottom, it takes 12 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
24
78
90
54
Answer: A
Question: How many odd three-digit integers smaller than 500 are there such that all their digits are different?
Choices:
88
112
122
144
Answer: D
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
Choices:
10 hours
18 hours
20 hours
12 hours
Answer: A
Question: A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ?
Choices:
117
116
114
NONE OF THESE
Answer: A
Question: If a - b = 3 and a2 + b2 = 29, find the value of ab.
Choices:
10
15
18
19
Answer: A
Question: A rectangular field is 20 yards long and 18 yards wide. A fence is needed for the perimeter of the
field. Fencing is also needed to divide the field into three square sections. How many feet of fencing
are needed? (It is a good idea to make a drawing for this one.)
Choices:
336 ft
430 ft
330 ft
230 ft
Answer: A
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 45 percent of the sales representatives prefer to stay at Hotel XYZ and 55 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
Choices:
39
42
45
48
Answer: C
Question: A does a work in 20days and B does the same work in 5days. In how many days they together will do the same work?
Choices:
2
3
4
5
Answer: C