antoine-444/aqua_rat_dataset huggingface dataset:
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 8000, the number of valid votes that the other candidate got, was:
Choices:
3600
3270
3700
4000
Answer: A
Question: A pipe can empty 2/3rd of a cistern in 12mins. In 6 mins, what part of the cistern will be empty?
Choices:
3/7
4/9
3/8
1/3
Answer: D
Question: By selling 66 metres of cloth a man loses the selling price of 22 metres. Find the loss percent.
Choices:
25%
30%
35%
None of these
Answer: A
Question: Find the odd man out. 241, 263, 248, 271, 255, 277, 262
Choices:
271
263
241
248
Answer: A
Question: The food in a camp lasts for 25 men for 40 days. If ten more men join, how many days will the food last?
Choices:
29 days
60 days
50 days
45 days
Answer: A
Question: A bag contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 9/16. How many marbles are in the bag?
Choices:
48
60
72
84
Answer: A
Question: A farmer had d animals, all of which the farmer bought for the same price. The farmer decided to sell the animals. 22 of the animals were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, the farmer made neither a profit nor a loss. Which of the following is equal to d?
Choices:
24
27
30
33
Answer: D
Question: If a number Q between 0 and 1 is selected at random, which of the following will the number most likely be between?
Choices:
3/20 and 1/5
1/5 and 1/4
1/4 and 3/10
3/10 and 1/2
Answer: D
Question: A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 220 customers. How many more new tables than original tables does the restaurant have?
Choices:
20
30
34
36
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
72
60
85
90
Answer: A
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
57%
52%
60%
None of these
Answer: A
Question: If a: b = 10: 9, b: c = 17: 12, find a: b: c?
Choices:
160: 173: 128
170: 153: 108
180: 163: 138
190: 183: 148
Answer: B
Question: Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
Choices:
65 km
80 km
85 km
95 km
Answer: A
Question: A hiker walked for 3 days. She walked 25 miles on the first day, walking 5 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
Choices:
79
58
60
62
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
275 cm2
285 cm2
315 cm2
None of these
Answer: B
Question: The dimensions of a rectangular solid are 4 inches, 5 inches, and 12 inches. If a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube?
Choices:
2:5
5:16
25:7
10:21
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 18 seconds. Find the length of the train?
Choices:
876 meter
300 meter
719 meter
169 meter
Answer: B
Question: What is the units' digit of the following expression (6)^3*(14)^5*(2)^5?
Choices:
1
3
5
8
Answer: D
Question: 138.009 + 341.981 – 146.305 = 123.6 + ?
Choices:
120.85
220.085
None of these
Cannot be determined
Answer: C
Question: My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
Choices:
72
44
73
89
Answer: A
Question: The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
Choices:
42 years
48 years
50 years
None
Answer: A
Question: When positive integer w is divided by 13, the remainder is 2. When n is divided by 8, the remainder is 5. How many such values are less than 180?
Choices:
1
2
3
4
Answer: A
Question: An article is bought for Rs.635 and sold for Rs.900, find the gain percent?
Choices:
41 93/127%
23 1/3%
35 1/3%
29 1/3%
Answer: A
Question: A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 840 in 4 years. The sum is?
Choices:
s. 638
s. 777
s. 730
s. 735
Answer: B
Question: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
Choices:
1 hour 40 minutes
1 hour 20 minutes
1 hour 30 minutes
1 hour 23 minutes
Answer: B
Question: Train speed 36kph. Dist travelled in 3minutes in meters
Choices:
1700
1800
1900
2000
Answer: B
Question: If f(x)=4x−1 and g(x)=2x+2 for all integers, which of the following is a possible value of g(f(x))?
Choices:
-17
2
16
20
Answer: C
Question: Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Choices:
R=4
R=3
R=5
R=2
Answer: C
Question: Line Y has the equation 3x + y = 7. Which of the following lines is perpendicular to Line Y?
Choices:
y = –3x – 6
y = (1/3)x – 1
y = (–1/3)x + 2
y = (–7/3)x – 5
Answer: B
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120
288
265
291
Answer: A
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.77 less, he could have gained 25%. What is the cost price?
Choices:
s.385
s.375
s.350
s.300
Answer: A
Question: Among 600people, 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?
Choices:
60
80
150
180
Answer: D
Question: a,b,c weighted separately 1st like a, b, c , then a & b, then b & c ,then c & a at last a & b & c, the last weight was 167,then what will be the average weight of the 7 reading?
Choices:
95.42
95.45
94
93
Answer: A
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
Choices:
600
66
55
33
Answer: A
Question: The area of an isosceles trapezoid with sides of length 5 and bases of length 11 and 17 is?
Choices:
52
54
56
46
Answer: C
Question: The number of sequences in which 4 players can throw a ball, so that the youngest player may not be the last is ?
Choices:
22
10
16
18
Answer: D
Question: Thefactor countof an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest Q?
Choices:
60
62
63
64
Answer: A
Question: rahul played weel in this season.his current batting averagge is 53.if he score 78 runs in today match.his batting average will become 58.how many matches had he played in this season.
Choices:
4
9
6
5
Answer: A
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
178
245
277
121
Answer: B
Question: A bowl has only 4 apples and 4 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?
Choices:
1/5
3/14
2/5
1/2
Answer: B
Question: John makes $60 a week from his job. He earns a raise and nowmakes $70 a week. What is the % increase?
Choices:
16.66%
17%
17.2%
18%
Answer: A
Question: A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hr?
Choices:
7.2 km/hr
7.5 km/hr
8 km/hr
8.9 km/hr
Answer: A
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 30kmph and the other is going towards south 40kmph. What time will they take to be 50km apart?
Choices:
0.714hrs
3.231hrs
0.515hrs
6.214hrs
Answer: A
Question: Half a number plus 5 is 11.What is the number?
Choices:
9
10
11
12
Answer: D
Question: If the product of the integers from 1 to n is divisible by 378, what is the least possible value of n?
Choices:
8
9
10
11
Answer: B
Question: 5n + 2 > 12 and 7n - 5 < 23; n must be between which numbers?
Choices:
2 and 4
0 and 9
2 and 7
2 and 9
Answer: A
Question: George is 8 years more than Christopher and Ford is 2 years younger than Christopher. The sum of their ages is 60. Find the ages of Ford.
Choices:
15
16
17
18
Answer: B
Question: A restaurant orders 150 kg of pumpkins from the farmer’s market. The farmer fills the order with 23 pumpkins. The average mass of the first 20 pumpkins is 6.5 kg. What must be the minimum average mass of the remaining 3 pumpkins to fill the order?
Choices:
5.67 kg
6.67 kg
7 kg
11.5 kg
Answer: B
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choices:
25
77
88
11
Answer: A
Question: An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 24 gallons of ethanol, how many gallons of fuel A were added?
Choices:
150
100
80
200
Answer: D
Question: A is twice as good a workman as B and they took 8 days together to do the work B alone can do it in?
Choices:
88 days
21 days
11 days
24 days
Answer: D
Question: Little John had $7.10. He spent $1.05 on sweets and gave to his two friends $1.00 each. How much money was left?
Choices:
$4.15
$4.65
$4.55
$4.05
Answer: D
Question: If a and b are positive integers of B such that a/b=2.86, which of the following must be a divisor of a?
Choices:
B.13
18
26
50
Answer: A
Question: 30^10 / 180^5=?
Choices:
5^5
3^6
6^3
15^3
Answer: A
Question: Each factor of 290 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
Choices:
5/42
16
3/16
1/4
Answer: B
Question: A train 100 m long crosses a platform 125 m long in 40 sec; find the speed of the train?
Choices:
77.11
54.12
33.0
20.25
Answer: D
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
Choices:
1775 sq m
4312 sq m
1756 sq m
1765 sq m
Answer: B
Question: A certain company reported that the revenue on sales increased 30 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
Choices:
40 %
35 %
38 %
29 %
Answer: C
Question: Which of the following could be the sum of the reciprocals of two prime numbers?
Choices:
11/12
12/10
23/50
19/77
Answer: B
Question: There are some rabbits and peacocks in a zoo. The total number of their heads is 60 and total number of their legs is 192. Find the number of total rabbits?
Choices:
87
26
19
36
Answer: D
Question: If four coins are tossed, the probability of getting two heads and two tails is?
Choices:
3/8
3/6
3/5
3/1
Answer: A
Question: A race course is 400m long. A and B run a race and A wins by 5m. B and C run over the same course and B win by 4m. C and D run over it and D wins by 16m. If A and D run over it, then who would win and by how much?
Choices:
D, 8.4m
D, 7.2m
A, 7.2m
A, 9.2m
Answer: B
Question: Each child has 3 crayons and 12 apples. If there are 6 children, how many crayons are there in total?
Choices:
65
18
36
10
Answer: B
Question: Find the average of all the numbers between 6 and 39 which are divisible by 5?
Choices:
20
25
30
23
Answer: D
Question: A boy was asked to multiply a number by 22. He instead multiplied the number by 44 and got the answer 308 more than the correct answer. What was the number to be multiplied?
Choices:
10
14
12
13
Answer: B
Question: A bag contains 30 black balls and 20 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
2/5
1/2
1/4
1/3
Answer: A
Question: Smith borrowed some money at the rate of 10% p.a. for the first 2years, at the rate of 12% p.a. for the next three years, and at the rate of 16% p.a. for the period beyond five years. If he pays a total interest of $ 600 at the end of 9years, how much money did he borrow?
Choices:
$750
$400
$500
$560
Answer: C
Question: A and B began business with Rs.2000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
Choices:
175
277
877
361
Answer: A
Question: In a camp, there is a meal for 120 men or 200 children. If 110 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
20
40
57
54
Answer: D
Question: In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?
Choices:
126.5 meters
127.5 meters
128.5 meters
129.5 meters
Answer: B
Question: A person crosses a 600 metre long street in 5 minutes. What is his speed in km per hour?
Choices:
4.2
6.1
7.2
5.4
Answer: C
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
Choices:
25
30
40
45
Answer: C
Question: With # andeach representing different digits in the problem below, the difference between #and ## is 801. What is the value of?
#
-##
____
812
Choices:
8
9
10
11
Answer: B
Question: A person can swim in still water at 16 km/h. If the speed of water 8 km/h, how many hours will the man take to swim back against the current for 12 km?
Choices:
1.5
2.3
1.8
6
Answer: A
Question: A Man has 366 apples with him.If he were to distribute them equally between his none children what is the least number of mangoes that he has to add ?
Choices:
3
1
14
None
Answer: A
Question: There are 200 doctors and nurses at a hospital. If the ratio of doctors to nurses is 4 to 6, how many nurses are at the hospital?
Choices:
120
130
140
150
Answer: A
Question: Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
Choices:
27/34
50/34
55/34
60/34
Answer: A
Question: This is how Edward’s Lotteries work. First, 8 different numbers are selected. Tickets with exactly 6 of the 8 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 6 numbers drawn from the 8 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?
Choices:
8P3
9C9
8C6
69
Answer: C
Question: Josh has to run an electrical wire from point a to point b along a circuit that is restricted to the grid shown to the left. How many possible paths could Josh use that have the minimum possible length?
Choices:
10
12
15
16
Answer: C
Question: Out of 16 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
Choices:
11â„13
9/11
1â„15
None of these
Answer: B
Question: In a kilometer race, A beats B by 100 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
199 sec
90 sec
193 sec
Answer: C
Question: Of the integers between 100 and 899, inclusive, how many do not have digit 2 and 5?
Choices:
320
410
384
524
Answer: C
Question: A restaurant meal cost $45 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
Choices:
$49 and $52
$47 and 50
$45 and $48
$46 and $51
Answer: A
Question: The number N is 5,H64, where H represents the hundred's digit. If N is divisible by 4, what is the value of H?
Choices:
1
2
5
All the above value
Answer: D
Question: 1,3,5,7,9,..50 find term of sequnce
Choices:
1456
1456
1678
2500
Answer: D
Question: In 1 hour, a boat goes 9 km along the stream and 3 km against the stream. The speed of the boat in still water (in km/hr) is :
Choices:
2 km/hr.
6 km/hr.
8 km/hr.
5 km/hr.
Answer: B
Question: A and B enterd into a partnership investing Rs.16,000 and Rs.12,000 respectively.After 3 months,A withdrew Rs.5000 while B invested Rs.5000 more.After 3 more months.C joins the business with a capital of Rs.21,000.The share of B exceeds that of C,out of a total profit of Rs.26,400 after one year by
Choices:
Rs.3000
Rs.3600
Rs.4800
None of these
Answer: B
Question: A & B can separately do a piece of work in 20 & 15 days. They worked together for 6 days, after which B was replaced by C. The work was finished in next 5 days. The no.of days in which C alone could do the work is
Choices:
20 days
30 days
40 days
50 days
Answer: D
Question: A crate of apples contains 1 bruised apple for every 35 apples in the crate. Two out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 10 apples not fit to sell in the crate, how many apples are there in the crate?
Choices:
360
700
600
840
Answer: B
Question: If x and y are positive integers, and x^3*y^4 = 16, which of the following is the value of xy?
Choices:
2
6
8
10
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
777
282
266
288
Answer: B
Question: The average age 11 members of a committee are the same as it was 5 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
21 years
18 years
55 years
30 years
Answer: C
Question: Average weight of 10 people increased by 1 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: A
Question: A sum was put at simple interest at a certain rate for 5 years Had it been put at 6% higher rate, it would have fetched 90 more. Find the sum.
Choices:
100
200
300
400
Answer: C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
Choices:
277 cm2
285 cm2
276 cm2
287 cm2
Answer: B
Question: What will come in place of (a) in the following expression?
a - 896.21 + 498.05 = 215.50 – 425.01
Choices:
188.65
188.67
83.65
88.61
Answer: A
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.4 per sq m?
Choices:
2779
2779
5200
2781
Answer: C
Question: Tough and Tricky questions: Remainders.
1^1 + 2^2 + 3^3 + ... + 5^5 is divided by 5. What is the remainder?
Choices:
1
2
3
4
Answer: C
Question: A fair coin is tossed 11 times. What is the probability of getting more heads than tails in 11 tosses?
Choices:
1/2
4/7
61/256
63/64
Answer: A
Question: If three numbers are randomly selected without replacement from set {1, 2, 3}, what is the probability that the numbers are selected in ascending order?
Choices:
1/6
1/8
1/24
1/12
Answer: A
Question: Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Monday, how many croissants will Marina eat on the 20th of that month?
Choices:
2
3
5
6
Answer: D
Question: The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is?
Choices:
6.838 kg
6.632 kg
6.832 kg
6.834 kg
Answer: C
Question: Mrs. Rodger got a weekly raise of $150. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$141
$142
$147
$150
Answer: D
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 55?
Choices:
s.3948
s.3942
s.3965
s.3740
Answer: D
Question: Four cups of milk are to be poured into a 3-cup bottle and a 4-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 4-cup bottle?
Choices:
7/3
5/7
16/7
3
Answer: C
Question: The average of first four prime numbers greater than 10 is?
Choices:
20
15
40
50
Answer: B
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Choices:
3 1/3%
3 6/3%
9 1/3%
3 3/3%
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
18/34
18/31
18/30
Answer: A
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
4 1/5 Km
3 2/5 Km
5 1/5 Km
Answer: A
Question: How many words with or without meaning, can be formed by using all the letters of the word, DELHI using each letter exactly once?
Choices:
110
120
130
140
Answer: B
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Choices:
Rs.4082.98
Rs.4032.40
Rs.4282.40
Rs.4082.40
Answer: D
Question: The length of the bridge, which a train 180 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
777
282
195
288
Answer: C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 17 cm
Choices:
323 cm2
285 cm2
167 cm2
197 cm2
Answer: A
Question: Some part of the 50% solution of acid was replaced with the equal amount of 30% solution of acid. As a result, 40% solution f acid was obtained. what part of the original solution was replaced?
Choices:
1/4
1/2
3/4
4/5
Answer: B
Question: What will come in place of the x in the following Number series? 25, 100, x, 1600, 6400
Choices:
6400
5674
7674
6576
Answer: A
Question: In a car wheel, two spokes cover 15 degree. Then for the entire car,how many spokes are there?
Choices:
128
192
208
252
Answer: B
Question: What is the perimeter of a triangle with sides 5 and 4 that has the maximum possible area?
Choices:
9 + √41
16
9 + √37
9 + 3√6
Answer: A
Question: A palindrome is a number that reads the same forward and backward, such as 343. How many odd, 8-digit numbers are palindromes?
Choices:
4500
5055
5000
2500
Answer: C
Question: In a museum, the entrance ticket costs Rs. 250. In vacation, the cost of the ticket is reduced, there by increasing the sale by 50%. but it was found that the collection is decreased by 17.5%. What is the deduction in the ticket price?
Choices:
Rs. 112.5
Rs. 110
Rs. 115.5
Rs. 115
Answer: A
Question: If, 3 years ago, Jamie was half as old as he is now, how old will he be in x years?
Choices:
x + 5
x + 2
x + 6
2x
Answer: C
Question: Before a salary increase, the weekly salary of a worker for 42 hours in a week was as much as the worker is paid now for 35 hours of work in a week. What is the percent increase in the worker's salary per hour?
Choices:
20
24
26
28
Answer: A
Question: Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 39 pages per hour. If Tom starts reading a novel at 4:30, and Jan begins reading an identical copy of the same book at 5:06, at what time will they be reading the same page?
Choices:
6:36
7:06
7:36
8:06
Answer: B
Question: m is a positive integer. m! is ending with k zeros, (m+2)! is ending with k+2 zeros. Find the number of possible values of m, if 90 ≤ m ≤ 190.
Choices:
3
4
6
8
Answer: C
Question: In how many ways can the letters of the word "MARS" be arranged?
Choices:
20
24
28
32
Answer: B
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
90
220
170
120
Answer: D
Question: A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Choices:
Rs.256.29
Rs.256.20
Rs.256.22
Rs.256.25
Answer: D
Question: A firm has 2 senior partners and 5 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.)
Choices:
21
25
29
33
Answer: B
Question: The average of 10 consecutive integers is 11. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
Choices:
5.5
6
6.5
7
Answer: C
Question: Calculate f(3), given that f(x) = x3 + f0(-1)x2 + f00(1)x + f0(-1)f(-1).
Choices:
198
196
195
194
Answer: A
Question: A man can row upstream at 4kmph and downstream at 10 kmph. The speed of the stream is
Choices:
4.2 km/hr
3 km/hr
10.5 km/hr
None
Answer: B
Question: A motorist covers a distance of 39km in 45min by moving at a speed of x kmph for the first 15min, then moving at double the speed for the next 20 min, and then again moving at his original speed for the rest of the journey. Find x.
Choices:
48 km/h
36 km/h
58 km/h
68 km/h
Answer: B
Question: Abhishek started a business investing 50,000. After one year he invested another 30,000 and Sudin also joined him with a capital of 70,000. If the profit earned in three years from the starting of business was 87,500, then find the share of Sudin in the profit
Choices:
32,500
38,281
52,500
None of these
Answer: D
Question: A sells to B goods at five-thirds the rate of profit at which B has decided to sell it to C. C, on other hand sells it to D at one-third the rate of profit at which B sold it to C. If D gives Rs. 2145 to C at 10%, how much did A buy it for ?
Choices:
1000
1200
1300
1400
Answer: A
Question: Sagar was riding bike towards north,turned left road 1 km turnes towrds left &road 2km found himself 1km west of starting how far did he road north?
Choices:
2km in north.
2km in east.
2km in west.
4km in north.
Answer: A
Question: Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
20
23
25
27
Answer: A
Question: Which of the following ranges of numbers includes the greatest number of prime numbers?
Choices:
10-19, inclusive
40-49, inclusive
60-69, inclusive
70-79, inclusive
Answer: A
Question: A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2hours30minutes to cover a distance of 5km upstream. find the speed of the river current in km/hr.
Choices:
1km/hr
5km/hr
2m/hr
4km/hr
Answer: A
Question: If the terms of a series are either2or24and the sum of all the terms D of the series is 124, then which of the following could be the number of2sin the series?
Choices:
26
35
40
48
Answer: A
Question: The distance between X&Y is 400km. A person is traveling from X to Y at 60km/hr started at 11AM and another person is traveling from Y to X at 40km/hr and started at same time. Then at what time they meet together.?
Choices:
B)4PM
C)1PM
D)3PM
E)5PM
Answer: C
Question: If a quarter kg of potato costs 60 yen, how many paise will 200 gm cost?
Choices:
yen 48
yen 56
yen 72
None
Answer: A
Question: The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is:
Choices:
16
24
48
98
Answer: C
Question: Find the mean proportional between 7921 & 9409?
Choices:
8633
8663
8636
None of these
Answer: A
Question: 0---:-|---:--|-:--:-|--:---|-:----1
On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance Z between any two of the tick marks?
Choices:
1/35
2/35
1/12
1/7
Answer: A
Question: Find the product of the local value and absolute value of 8 in 564823
Choices:
6400
16000
12000
18000
Answer: A
Question: In a certain city, 80 percent of the households have cable television, and 50 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:
Choices:
30,000 to 120,000 inclusive
45,000 to 75,000 inclusive
75,000 to 120,000 inclusive
90,000 to 120,000 inclusive
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 24 seconds. The ratio of their speeds is?
Choices:
3/2
3/5
3/1
7/3
Answer: D
Question: A thief goes away with a SANTRO car at a speed of 25 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choices:
2/7 hours
1 hours
3 hours
2 hours
Answer: B
Question: how many 1x1x1 cubes can you fit in a 15x16x13 box?
Choices:
3,150
3,448
3,120
2,980
Answer: C
Question: At a certain rate of simple interest per annum the amount due in 3 & 1/2 yrs and 5 & 1/2 yrs are respectively Rs4560 & Rs4840. Find the rate of Simple Interest ?
Choices:
4.43
2.43
3.43
5.34
Answer: C
Question: A train 800 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:
360 m
500 m
540 m
580 m
Answer: B
Question: A trained covered x km at 65 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
99
26
66
887
Answer: B
Question: A set of 11 positive integers has an average of 35. Which of the following is the greatest possible value for the median of this set?
Choices:
64
36
45
46
Answer: A
Question: The sum of the non-prime numbers between 60 and 70, non-inclusive, is
Choices:
429
457
499
536
Answer: B
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 70 white marbles. How many red marbles could be in bag A?
Choices:
3
4
6
14
Answer: D
Question: If S is the sum of the reciprocals of the consecutive integers from 81 to 90, inclusive, which of the following is less than S?
I. 1/8
II. 1/9
III. 1/10
IV. 1/5
V. 1/8>S >1/9
Choices:
V
II
III
IV
Answer: A
Question: A thief is spotted by a policeman from a distance of 200metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 18km/hr and that of the policeman 22km/hr, how far the thief will have run before he is overtaken ?
Choices:
A)900m
C)650m
D)750m
E)800m
Answer: A
Question: A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/500 that a person who randomly guesses the answer to each question will be a winner?
Choices:
5
50
100
1000
Answer: A
Question: The faces of a triangular prism are to be painted by 5 different colors. In how many ways can be this be done?
Choices:
B.256
C.1
D.120
E.36
Answer: C
Question: If 9a = 16b what is (4a + 6b)/(15a - 16b)
Choices:
4
5
59/48
11
Answer: C
Question: Conversation between two mathematicians:
First: I have three children. The product of their ages is 36. If you sum their ages, it is exactly same as my neighbor's door number on my left. The second mathematician verifies the door number and says that it is not sufficient. Then the first says "Ok one more clue is that my youngest is really the youngest". Immediately the second mathematician answers. Can you answer the question asked by the first mathematician? What are the children ages?
Choices:
6,6, 1
6,5, 1
6,5, 2
6,6, 3
Answer: A
Question: In the first half of the 20th century, the population of a particular country increased by 200 percent. In the second half of the century , the population increased by 300 percent. What was the percent increase for the 20th century as a whole?
Choices:
600%
800%
1100%
1200%
Answer: C
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 49 revolutions, what will be the number of revolutions made by the larger wheel?
Choices:
12
21
9
22
Answer: B
Question: Mr. Thomas investe d an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?
Choices:
Rs.6400
2899
2660
2701
Answer: A
Question: A school has 82635 pens to distribute between 9 classes. If split evenly between classes, how many pens would be left over?
Choices:
6
1
9
2
Answer: A
Question: For dinner at a restaurant, there are x +1 choices of appetizers, y main courses, and z +1 choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Choices:
xyz+xy+yz+y
xy + z + 1
xyz + 1
xyz + 1/2
Answer: A
Question: A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 216 customers. How many more new tables than original tables does the restaurant have?
Choices:
16
24
32
36
Answer: A
Question: A train running at the speed of 72 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
286 meter
180 meter
288 meter
265 meter
Answer: B
Question: At a constant Rate of flow, it takes 10 minutes to fill a swimming pool if a large hose is used and 15 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
Choices:
6
15
25
50
Answer: A
Question: In how many different ways can the letter of the word 'DEIFY' be arranged in such a way that the vowels occupy the odd positions?
Choices:
36
12
24
85
Answer: B
Question: What is the sum of the different positive prime factors of 500?
Choices:
7
15
16
18
Answer: A
Question: A sum of the money is distributed among A,B,C,D in the proportion of 5:2:4:3. If C gets $1000 more than D, What is B's share?
Choices:
1500
2500
2000
3200
Answer: C
Question: If a = (1/3)b and c = 2a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
Choices:
2a
4a
(4 1/7)a
(7 1/4)a
Answer: A
Question: If the sides of a triangle are 17.2 cm, 14 cm and 10 cm, what is its area?
Choices:
70 cm^2
80 cm^2
85 cm^2
90 cm^2
Answer: A
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
Choices:
12 1/2 years
12 8/2 years
13 1/2 years
22 1/2 years
Answer: A
Question: In what time a sum of money double itself at 8% per annum simple interest?
Choices:
33 1/3%
33 7/3%
32 1/3%
12 1/2%
Answer: D
Question: A sum of Rs.1000 at simple interest amounts to Rs. 1192 in 4 years. The S.I. for 1 year is:
Choices:
Rs. 70
Rs. 39
Rs. 72
Rs. 48
Answer: D
Question: In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1600 employees, then the no. of female employees who are computer literate ?
Choices:
674
672
960
None
Answer: B
Question: A man can row 10 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
4.92
4.82
4.72
4.61
Answer: A
Question: Joseph has 3/4 number of books as that of Ron. If each of them add 5 books, what will be the ratio of these two new books numbers ?
Choices:
8/9
18/19
23/24
It cannot be determined from the information given
Answer: D
Question: A car is traveling 68 kilometers per hour. How many meters does the car travel in one minute?
Choices:
1133.33m/min
2560m/min
1670m/min
1890m/min
Answer: A
Question: what should be the length of rope which is tied to one end to cow and other end to holder.so,that cow can graze 9856 sq.m?
Choices:
56 m
88 m
168 m
102 m
Answer: A
Question: Which of the following is equal to 2(1/5)%?
Choices:
0.12/100
2.2/100
12/100
12/10
Answer: B
Question: If 3/p=5 & 3/q=15 then p-q=?
Choices:
6/24
2/15
8/24
9/24
Answer: B
Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 6 businessmen, how many possible team submissions are possible?
Choices:
100
162
198
202
Answer: A
Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
Choices:
1689
5000
2789
2675
Answer: B
Question: If the farmer sells 75 of his chickens, his stock of feed will last for 20 more days than planned, but if he buys 100 more chickens, he will run out of feed 15 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
Choices:
120
240
275
300
Answer: D
Question: A bowl was filled with 100 ounces of milk, and 0.004 ounce of the milk evaporated each day during a 90-day period. What percent of the original amount of milk evaporated during this period?
Choices:
B)0.36%
C)3.6%
D)36%
E)42%
Answer: A
Question: what is the next no. 4 12 84
Choices:
732
832
850
902
Answer: A
Question: There are 12 slate rocks, 17 pumice rocks, and 8 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
Choices:
7/64
9/83
11/111
13/135
Answer: C
Question: what is the remainder when 46! is divided by 47
Choices:
46
45
44
43
Answer: A
Question: A BAG CONTAINS 6 WHITE AND 4 BLACK BALLS .2 BALLS ARE DRAWN AT RANDOM. FIND THE PROBABILITY THAT THEY ARE OF SAME COLOUR.
Choices:
7/15
15/7
5/8
3/7
Answer: A
Question: There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 16,000 after 3 years at the same rate?
Choices:
2572
4542
2343
5296
Answer: D
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
3/41
9/42
4/51
5/13
Answer: B
Question: 0.99999 + 0.11111 = ?
Choices:
1.0001
1.0021
1.111
1.1111
Answer: D
Question: A train 300 m long can cross an electric pole in 15 sec and then find the speed of the train?
Choices:
70 Kmph
72Kmph
75 Kmph
78 Kmph
Answer: B
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choices:
60
64
59
67
Answer: B
Question: If 3 and 5 are prime numbers, which of the following CANNOT be the sum of 3 and 5?
Choices:
9
13
8
19
Answer: A
Question: At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:85. At this university, what is the maximum number of students possible in a course that has 4 teaching assistants?
Choices:
112
113
114
115
Answer: B
Question: In 2005, 30 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Choices:
116%
136%
155%
160%
Answer: A
Question: 7^6n -1^ 6n When n is an integer > 0 is divisible by
Choices:
127
131
132
134
Answer: A
Question: How many different ways can 2 students be seated in a row of 7 desks, so that there is always at least one empty desk between the students?
Choices:
3
30
6
12
Answer: B
Question: A 300 m long train crosses a platform in 54 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
600
277
122
Answer: B
Question: How many even four-digit integers smaller than 2000 are there such that all their digits are different?
Choices:
212
224
240
280
Answer: D
Question: What is the largest number of four digits which is divisible by 15, 25, 40 and 75 ?
Choices:
9600
362
958
258
Answer: A
Question: If x+y=20, x-y=10, for integers of x and y, x=?
Choices:
15
25
13
42
Answer: A
Question: What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
Choices:
49198
43983
41288
43981
Answer: B
Question: Mary's income is 60% more Than Tim's income and Tim's income is 10% less than Juan's income.What % of Juan's income is Mary's income.
Choices:
144%
96%
80%
64%
Answer: A
Question: Find large number from below question The difference of two numbers is 1500. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1797
1540
1600
1635
Answer: A
Question: Based on this year's costs, an orchard grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 30% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
Choices:
23% less than N
equal to N
20% greater than N
25% greater than
Answer: A
Question: If the price has fallen by 16% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
11 1/5%
11 1/9%
19 1/21%
21 1/9%
Answer: C
Question: A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:2:2, respectively, but he wanted to make more money, so he shifted the ratio to 2:4:3, respectively. How many more acres of land were planted with tobacco under the new system?
Choices:
150
270
300
450
Answer: A
Question: From 6 positive numbers and 7 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed?
Choices:
625
230
365
255
Answer: C
Question: Find the unit's digit in 264^102+264^103
Choices:
0
3
7
8
Answer: A
Question: A bookseller sells his books at a 15% markup in price. If he sells a book for $23.00, how much did he pay for it?
Choices:
$14.00
$21.00
$19.60
$20.00
Answer: D
Question: Two isosceles Triangles have equal vertical angles and their areas are in the ratio 25:49. Find the ratio of their corresponding heights .
Choices:
5/4
3/2
5/7
2/3
Answer: C
Question: Find the fourth proportion to 5,10,85
Choices:
120
170
75
100
Answer: B
Question: If a - b = 3 and a^2 + b^2 = 31, find the value of ab.
Choices:
15
10
11
13
Answer: C
Question: Look at this series: 30, 27, 32, 29, 34, 31, ... What number should come next?
Choices:
36
38
42
32
Answer: A
Question: Find the area of a rectangular field if John walking at the speed of 48m/min took 20 seconds to cross the field diagonally and Harry walking at a speed of 72m /min took 15 seconds to cross the field along its sides.
Choices:
144
34
35
40
Answer: B
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 8 flight to return. In how many ways, can the boy perform his journey?
Choices:
32
43
45
80
Answer: A
Question: Of the 60 pizzas a being ordered, 25% are pepperoni. How many many cheese pizzas must be changed to pepperoni in order to bring the number of pepperoni pizzas up to 50 percent of the pizzas?
Choices:
30
20
15
45
Answer: C
Question: Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 60 minutes. However, if Perry were to work at twice Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?
Choices:
1 hr 45 min
2 hr
2 hr 20 min
3 hr
Answer: D
Question: When positive integer n is divided by 2, the remainder is 2. When n is divided by 7, the remainder is 5. How many values less than 100 can n take?
Choices:
2
3
4
5
Answer: B
Question: A grocer has a sales of Euro 520, Euro 628, Euro 525, Euro 600 and Euro 800 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 700?
Choices:
uro 1127
uro 3591
uro 7791
uro 4991
Answer: A
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Choices:
635.5
635.87
635.59
635.28
Answer: A
Question: If the price of petrol is increased by 20% and subsequently by 40%. If the original price was Rs25 per litre then what is then the final price per litre?
Choices:
42
48
40
none
Answer: A
Question: The tax on a commodity is diminished by 22% but its consumption is increased by 9%. Find the decrease percent in the revenue derived from it?
Choices:
18%
15%
12%
14%
Answer: B
Question: At present, the ratio between the ages of Arun and Deepak is 4:6. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
30 years
18 years
22 years
19 years
Answer: A
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Choices:
188
100
988
271
Answer: B
Question: The population of a bacteria colony doubles every day. If it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choices:
768
102
204
128
Answer: D
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
270
1266
299
212
Answer: A
Question: Out of first 40 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choices:
17/29
17/40
31/40
17/27
Answer: C
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choices:
3000
2682
7222
2682
Answer: A
Question: A 300 m long train crosses a platform in 27 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
277 m
278 m
150 m
Answer: D
Question: Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1330, how much does he invest in 12% stock at Rs. 120?
Choices:
s. 4500
s. 5500
s. 6000
s. 6500
Answer: B
Question: if x:y = 1:3, then find the value of
(7x+3y):(2x+y)
Choices:
15:5
16:5
17:5
18:5
Answer: B
Question: Which of the following numbers should not be included in the set?
331, 482, 551, 263, 382, 242, 111
Choices:
382
242
111
None of these
Answer: A
Question: Combine terms: 15a + 26b -4b – 16a.
Choices:
-28a + 30b
-a + 22b
28a + 30b
5a + 30b
Answer: B