antoine-444/aqua_rat_dataset huggingface dataset:
Question: Fresh fruit contains 55% water and dry fruit contains 10% water. How much dry fruit can be obtained from 100kg of fresh fruit?
Choices:
B)40kg
C)52kg
D)50kg
E)100kg
Answer: C
Question: Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.85
6.85
5.85
6.15
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
266
120
287
212
Answer: B
Question: Gate A runs 3000 liters of water per minute out of a check dam that has a total volume of 360000 liters. Gate B drains a third of the dam in 6 hours.
Working together how long will it take both gates to drain the dam completely ?
Choices:
1.5 hours
9 hours and 12 minutes
15 hours
1 hour and 28 minutes.
Answer: D
Question: How many real roots does the equation x^2y+16xy+60y=0 have if y < 0?
Choices:
1
2
3
Infinite
Answer: C
Question: A container contains a dry mixture of sand and stones. Mass of sand and stones in the container is in the ratio 1:3. If 12 kg sand is added to the container, the ratio of masses of sand and stones becomes 5:3. Originally, how much more was the mass of stones than sand in the container?
Choices:
9
6
3
1
Answer: B
Question: In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
18
20
21
30
Answer: D
Question: A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 10.30 a.m.?
Choices:
6
7
8
12
Answer: D
Question: A person borrows Rs.5000 for 2 years at 5% p.a. simple interest. He immediately lends it to another person at 61⁄4% p.a for 2 years. Find his gain in the transaction per year.
Choices:
62.5
225
112.5
212.5
Answer: A
Question: A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If four, rather than five people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
Choices:
x/5
x/9
x/20
4x/9
Answer: C
Question: 81,162,49,98,25,50,68
Choices:
127
129
128
136
Answer: D
Question: The bankerâ€™s discount on Rs. 1600 at 8% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :
Choices:
4.5 months
6.5 months
7.5 months
None
Answer: C
Question: A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
Choices:
Rs.3600
Rs.3627
Rs.3661
Rs.3628
Answer: A
Question: At what time between 5.30 and 6 will the hands of a clock be at right angles?
Choices:
42*7/11 min past 5
43*7/11 min past 5
43*7/11 min past 7
44*7/11 min past 5
Answer: B
Question: there are 30 students in a classroom. The ratio of the # of girls to boys was 1:2, how many boys are there?
Choices:
15
20
25
30
Answer: B
Question: The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs.800 per sq. metre.
Choices:
Rs. 19500
Rs. 18000
Rs. 16500
Rs. 18090
Answer: C
Question: When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of r customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
Choices:
(n-1)/r
n + r –1
r/(n-1)
n/(r-1)
Answer: A
Question: Set P is composed of nine numbers, labeled P1 through P9. Set Q is also composed of nine numbers, labeled Q1 through Q9. Set Q is defined as follows: Q1 = 1 + P1; Q2 = 2 + P2; and so on, including Q9 = 9 + P9. How much larger is the sum of set Q's mean and range than the sum of set P's mean and range?
Choices:
6
9
cannot be determined
12
Answer: C
Question: From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a club and the second card is a red king?
Choices:
1/15
1/26
1/52
1/104
Answer: D
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Choices:
27
30
26
29
Answer: B
Question: A polygon has 135 diagonals. How many sides does it have?
Self made
Choices:
13
18
15
16
Answer: B
Question: The average age of a group of 10 students was 25. The average age increased by 3 years when two new students joined the group. What is the average age of the two new students who joined the group?
Choices:
30 years
32 years
43 years
None of these
Answer: C
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
Choices:
46
47
76
35
Answer: A
Question: If m and n are negative integers, which of the following statements must be true?
I. (-m)^n is positive.
II. (-m)^(-n) is positive.
III. m^(-n) is positive.
Choices:
II only
I and II
I and III
I, II and III
Answer: B
Question: If r = 199,999 and s = 991,999, which of the following is the units digit of r^2 + s^2?
Choices:
1
2
8
9
Answer: B
Question: What is the greatest possible length which can be used to measure exactly the lengths 180 m, 500 m and 15m 20 cm?
Choices:
80 cm
40 cm
10 cm
100 cm
Answer: A
Question: If the simple interest on a certain amount in at 4% rate 5 years amounted to Rs.2080 less than the principal. What was the principal?
Choices:
2600
2507
3200
11500
Answer: A
Question: If (1/2)^25 (1/81)^k = 1/18^25, then k =
Choices:
12.5
16
24
36
Answer: A
Question: A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 6 cups of tea are prepared, 3 in one way and 3 in other. Find the different possible ways of presenting these 6 cups to the expert.
Choices:
240
300
720
None
Answer: C
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 17 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:
444
2881
287
456
Answer: D
Question: One night 18 percent of the female officers on a police force were on duty. If 144 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices:
400
500
600
700
Answer: A
Question: If the sample interest on a sum of money 10% per annum for 2 years is $1200, find the compound interest on the same sum for the same period at the same rate?
Choices:
$1260
$1356
$1440
$1210
Answer: A
Question: If a + b + c = 13, a2 + b2 + c2 = 69 then find the ab + bc + ca :
Choices:
30
50
70
90
Answer: B
Question: When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction w of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
Choices:
11/14
4/7
3/7
3/14
Answer: A
Question: Look at this series: 36, 34, 30, 28, ..., ... What numbers should come next?
Choices:
32,30
22,20
24,22
10,9
Answer: C
Question: Of three numbers, the third is thrice the second and the second is 5 times the first. If their average is 105, the smallest of the three numbers is:
Choices:
15
20
21
22
Answer: A
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Choices:
81000
77678
200988
228881
Answer: A
Question: The average age of a group of n people is 14 years old. One more person aged 32 joins the group and the new average is 16 years old. What is the value of n?
Choices:
6
7
8
9
Answer: C
Question: What should be added to 5021 so that it may become a perfect square?
Choices:
20
26
27
29
Answer: A
Question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (0, 1) and a radius of 2. Some points, such as the center (0, 1), are inside the circle, but a point such as (0, 3) is on the circle but not in the circle. How many lattice points are in circle C?
Choices:
9
2
15
7
Answer: A
Question: If x percent of 400 is 20 percent of 700, then x =
Choices:
350
700
400
1,400
Answer: C
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Choices:
1
7
6
4
Answer: B
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 90 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
24 sec
30 sec
60 sec
62 sec
Answer: B
Question: In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-5, 1), (1, 1), (1, -4) and (-5, -4)?
Choices:
30
40
55
48
Answer: A
Question: John buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
Choices:
Rs. 6876.10
Rs. 4600
Rs. 3400
Rs. 7500
Answer: A
Question: If x is to be chosen at random from the set {1, 2, 3} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
Choices:
1/3
1/2
2/3
5/6
Answer: D
Question: In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?
Choices:
528
758
454
546
Answer: A
Question: Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Choices:
71
75
78
74
Answer: C
Question: A 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
240m
250m
260m
270m
Answer: B
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
37
10
28
27
Answer: B
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?+ 1611 + 647 equals
Choices:
1261
2737
1278
1276
Answer: A
Question: In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is
Choices:
5 km/hr.
3 km/hr.
8 km/hr.
12 km/hr.
Answer: A
Question: Given a certain number (x), find x given that 5.76 is 12% of 40% of x?
Choices:
120
140
100
300
Answer: A
Question: In what ratio tea of Rs.80 per kg be mixed with 12kg tea of Rs.64 per kg, so thai cost price of mixture is Rs.74 per kg?
Choices:
5:3
2:5
2:3
None of the above
Answer: A
Question: At Rahul's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
Choices:
258
216
120
72
Answer: A
Question: A train 135 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
53.6 km/hr
17 km/hr
18 km/hr
12 km/hr
Answer: A
Question: 6 boysand 8 girls can do job in 10 days ,26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work
Choices:
4 days
6 days
7 days
8 days
Answer: A
Question: A cubical block of metal weighs 4 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Choices:
32
24
18
12
Answer: A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18%
15%
6%
10%
Answer: A
Question: Which number need to add to 956734 to get a number exactly divisible by 412?
Choices:
342
343
342
341
Answer: A
Question: If x is a number such that x^2 + 4x - 5 = 0 and x^2 - 5x + 4 = 0, then x =
Choices:
4
1
-4
-5
Answer: B
Question: There is a square with side ‘a’ and one octagon is inscribed in it. What will be perimeter of octagon.
Choices:
8a/3
5a/3
a/3
11a/3
Answer: A
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Choices:
480
281
267
288
Answer: C
Question: Find the number of factors T of 180 that are in the form (4*k + 2), where k is a non-negative integer?
Choices:
2
3
4
T=6
Answer: D
Question: If a is an integer from 1 to 96, what is the probability for a*(a+1)*(a+2) being divisible by 8?
Choices:
b. 50%
c. 62.5%
d. 72.5%
e. 75%
Answer: B
Question: The total age of A and B is 15 years more than the total age of B and C. C is how many years younger than A?
Choices:
15
C is elder than A
Data inadequate
None
Answer: A
Question: The arithmetic mean of the scores of a group of students in a test was 80. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
Choices:
B)111.7
C)102.27
D)115.1
E)121.2
Answer: B
Question: You keep tossing a fair coin for twenty times. Each time, the coin lands up with tails up.
What is the probability that if you toss it now, the coin will land with heads up this time?
Choices:
50%
78%
72%
91%
Answer: A
Question: The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
225 m
245 m
250 m
270 m
Answer: A
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 7 rows or 6 rows or 4 rows, then no tree will be left. Find the least number of trees required
Choices:
84
28
76
21
Answer: A
Question: A woman buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:
Choices:
45%
20%
34%
78%
Answer: B
Question: The arithmetic mean of the set S = {8, K, 7, 13, M, 8} is 9. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?
Choices:
7.5
8
8.5
9
Answer: B
Question: In an election, candidate X got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate?
Choices:
300000
355000
356000
357000
Answer: D
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 6 kmph, then the speed of
the boat in still water is
Choices:
13 kmph
14 kmph
15 kmph
None of these
Answer: D
Question: A person is traveling at 40 km/hr and reached his destiny in 6 hr then find the distance?
Choices:
240 km
280 km
340 km
350 km
Answer: A
Question: How many odd and even numbers are there between 42 and 400?? Find the sum of odd numbers and the sum of even numbers!
Choices:
8
27
9
21
Answer: C
Question: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Choices:
2876
2876
5040
1082
Answer: C
Question: The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Choices:
12
66
77
88
Answer: A
Question: Dick and Jane each saved $3,000 in 1989. In 1990 Dick saved 8 percent more than in 1989, and together he and Jane saved a total of $5,000. Approximately what percent less did Jane save in 1990 than in 1989?
Choices:
25%
41%
59%
70%
Answer: B
Question: A candidate got 10% of the votes polled and he lost to his rival by 16000 votes. How many votes were cast?
Choices:
20000
2775
5496
6851
Answer: A
Question: In a certain pond, 80 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
625
1,250
2,000
10,000
Answer: C
Question: The second of two numbers is two less than three times the first. Find the numbers if there sum is
42.
Choices:
8-20
10-16
11-31
20-6
Answer: C
Question: O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(8.3) + E(–8.7) + o(–7.3) + e(6.6) is:
Choices:
-2
0
1
2
Answer: A
Question: Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 8 hours. How long would it take for both hoses to fill up two-thirds of the pool?
Choices:
5/8 hours
8/5 hours
16/7 hours
12/5 hours
Answer: C
Question: A room is 20 meters long, 15 meters wide 10 meters in height. The longest possible rod which can be placed in the room is
Choices:
26.93 meters
24.93 meters
24.5 meters
24.75 meters
Answer: A
Question: Find the odd man out. 49, 65, 81, 144, 169, 225, 441
Choices:
65
81
144
169
Answer: A
Question: Three bells commence tolling together and toll at intervals of 1, 3 and 5 seconds respectively. In 10 minutes, how many times do they toll together ?
Choices:
40
41
42
43
Answer: B
Question: The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the
due period.
Choices:
5months
8months
3months
None of these
Answer: B
Question: In the coordinate plane a slope of the line K is 4 times the x-intercept of the line K. What is the y-intercept of the line K?
Choices:
4
-1/4
1/4
2
Answer: C
Question: If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+7 is divided by 41?
Choices:
12
6
16
18
Answer: A
Question: David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the the total interest accrued in one year was 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?
Choices:
5000
8000
cannot be determined
None of these
Answer: A
Question: A train 240 m long, running with a speed of 108 km/hr will pass a tree in?
Choices:
8 sec
18 sec
14 sec
12 sec
Answer: A
Question: A box contains 15 items. Six of the items are Pen, five are pencil, and five are eraser. If two items are randomly selected from the box, one after the other, what is the probability that both will be pen?
Choices:
1/9
1/3
1/7
8/9
Answer: C
Question: When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the quotient is 3y and the remainder is 3. What is the value of 13y – x ?
Choices:
1
-1
-2
-4
Answer: A
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
Choices:
32.4
32.2
32.1
32.7
Answer: A
Question: Which of the following fractions is greater than 23/50?
Choices:
11/34
43/99
16/34
9/20
Answer: C
Question: A, B and C started a partnership business by investing Rs.30000, Rs.45000, Rs.50000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
Choices:
60000
80000
90000
50000
Answer: C
Question: What is the value of √16% ?
Choices:
30%
40%
50%
60%
Answer: B
Question: If 'a' is a positive integer exactly divisible by 3 or 5 but not divisible by 6.What could possibly be the value of 'a' ?
Choices:
30
18
27
15
Answer: D
Question: A sum of money lent out at S.I. amounts to a total of $600 after 2 years and to $850 after a further period of 5 years. What was the initial sum of money that was invested?
Choices:
$500
$540
$560
$580
Answer: A
Question: A bike covers a certain distance at the speed of 68km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Choices:
85.34 km/h
87.67 km/h
90.66 km/h
90.64 km/h
Answer: C
Question: A company that ships boxes to a total of 12 sales centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter)
Choices:
5
7
8
9
Answer: A
Question: Ratio and proportion
215:474::537:?
Choices:
26
25
22
23
Answer: A
Question: If 75 percent of a class answered the first question on a certain test correctly, 65 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Choices:
(8) 20%
30%
60%
65%
Answer: C
Question: Two friends phil and andrew started running simultaneously from a point P in the same direction along a straight running track. The ratio of speeds of phil and andrew was 2:5. Two hours later, andrew turned back and started running running backwards at one-fifth of his original speed. He met phil at a distance of 10 km from the point P. what was phil's running speed ?
Choices:
2.25 km/hr
2.5 km/hr
3.75 km/hr
6.25 km/hr
Answer: B
Question: Ana is a girl and has the same number of brothers as sisters. Andrew is a boy and has twice as many sisters as brothers. Ana and Andrew are the children of Emma. How many children does Emma have?
Choices:
3
5
7
8
Answer: C
Question: The G.C.D of 1.08, 0.36 and 1.2 is
Choices:
0.1
0.18
0.11
0.12
Answer: D
Question: A, B and C have a few coins with them. 7 times the number of coins that A has is equal to 5 times the number of coins B has while 6 times the number of coins B has is equal to 11 times the number of coins C has. What is the minimum number of coins with A, B and C put together?
Choices:
127
154
165
145
Answer: A
Question: If a certain toy store's revenue in November was 4/5 of its revenue in December and its revenue in January was 3/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choices:
1/2
2/3
2
4
Answer: C
Question: In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many X different victory circles are possible?
Choices:
52
96
144
648
Answer: A
Question: For the positive integers x, x + 2, x + 4, x + 7, and x + 32, the mean is how much greater than the median?
Choices:
1
2
4
5
Answer: D
Question: In right triangle ABC, AC is the hypotenuse. If AC is 10 and AB + BC = 20, what is the area of the triangle ABC?
Choices:
450
75
200
200√2
Answer: B
Question: Car A runs at the speed of 50 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 60 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?
Choices:
4 : 9
13 : 7
5 : 3
6 : 11
Answer: C
Question: If ‘DELHI’ is coded as ‘15’, ‘RAJASTHAN’ is coded as ’45’, then ‘MUMBAI’ is coded as ?
Choices:
21
18
19
None
Answer: D
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 68 years now, the son's age five years back was?
Choices:
14 years
18 years
19 years
29 years
Answer: D
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
Choices:
60 hours
65 hours
45 hours
30 hours
Answer: A
Question: At what time between 2 and 3 o'clock will the hands of a clock be together?
Choices:
(10 + 10/11) min past 2
(10 + 10/11) min past 3
(10 + 10/11) min past 7
(10 + 10/11) min past 1
Answer: A
Question: X completes a work in 12 days and Y complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
8 days
10 days
12 days
14 days
Answer: A
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
2.6
3.6
4.5
4.6
Answer: D
Question: A necklace is made by stringing N individual beads together in the repeating pattern blue bead, green bead, white bead, brown bead, and orange bead. If the necklace design begins with a blue bead and ends with a white bead, then N could equal
Choices:
76
68
64
72
Answer: B
Question: An = 2An-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If A5 = Q4 and A7 = 316, what is the first value of n for which Qn is an integer?
Choices:
2
3
4
5
Answer: B
Question: The number of singles that a baseball player hit increased 12 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 2 percent. If the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
Choices:
2:5
1:3
2:3
3:5
Answer: A
Question: If x/y = 3 and (2a - x)/(3b - y) = 3, then the value of a/b is?
Choices:
9/2
1
2
3
Answer: A
Question: If Greg buys 3 shirts, 6 trousers and 4 ties, the total cost is $80. If Greg buys 7 shirts, 2 trousers and 4 ties, the total cost is $80. How much will it cost him to buy 5 trousers, 4 shirts and 4 ties?
Choices:
$64
$80
$96
Cannot be determined
Answer: B
Question: A tradesman by means of his false balance defrauds to the extent of 22%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
46.8
48.8
49
27
Answer: B
Question: Jack got paid today for his part-time job as a juggler, and noticed that 20% of his paycheck went to taxes. Jack wants to spend 80% of what's left on a new bike, and put the rest into savings. If Jack puts $20 into savings, how much was his original paycheck before taxes?
Choices:
$125
$145
$155
$165
Answer: A
Question: In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 45, what is the greatest possible value of B × A?
Choices:
5
10
15
25
Answer: C
Question: The average of first ten prime numbers which are odd is?
Choices:
15.1
15.9
15.8
15.3
Answer: C
Question: The duplicate ratio of 3:4 is?
Choices:
1:4
1:8
9:16
1:13
Answer: C
Question: Find the value of 3 + 2 â€¢ (5 â€“ 3)
Choices:
13
7
24
15
Answer: B
Question: The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 20 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?
Choices:
20%
40%
50%
6%
Answer: D
Question: If you are rolling 2 dice, what is the probability of rolling a 11?
Choices:
4/15
5/18
2/3
1/6
Answer: B
Question: An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
Choices:
18.000 d/sec
38.000 d/sec
26.000 d/sec
35.000 d/sec
Answer: A
Question: If $5,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Choices:
compounding quarterly
compounding monthly
compounding daily
All four of these would produce the same total
Answer: C
Question: If the speed of X meters per second is equivalent to the speed of Y meters per hour, what is Y in terms of X? (1 kilometer=1000 meters)
Choices:
6x/5
18x/5
60x
3600x
Answer: D
Question: if 11 oranges bought 10 r and 10 oranges sold 11 r .what is the profit
Choices:
20 %
22 %
21 %
23 %
Answer: C
Question: What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts?
Choices:
12
14
16
18
Answer: C
Question: Raman covers 1 km in 8 min while suman covers the same distance in 10 min. By what distance does Raman beat Suman ?
Choices:
65 m
190 m
200 m
220 m
Answer: C
Question: How much 60% of 50 is greater than 40% of 30?
Choices:
18
26
27
23
Answer: A
Question: If 16 machine can finish a job in 45 days, then how many more machines would be needed to finish the job in one -third less time?
Choices:
a. 3
c. 10
d. 12
e. 16
Answer: A
Question: A cubical rectangular bar has the dimensions with the ratio 5 : 4 : 3. Its volume is 7500. What
is the surface area of the bar?
Choices:
1350
4350
5640
8456
Answer: A
Question: In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 32. In the company, what is the maximum number of non-managers in a department that has 8 managers?
Choices:
36
37
38
39
Answer: A
Question: 1/2 + [(2/3 * 3/8)*4] - 9/16 =
Choices:
19/16
15/16
9/13
0
Answer: B
Question: If a positive odd integer N has p positive factors, how many positive factors will 2N have ?
Choices:
2p
P+1
2p+1
Cannot be determined
Answer: A
Question: What is the remainder when 1234 * 6789 * 1111 is divided by 19
Choices:
23
7
10
43
Answer: C
Question: Aaron will jog from home at 3 miles per hour and then walk back home by the same route at 6 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
Choices:
6
2
5
8
Answer: A
Question: Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If C is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
Choices:
4<y<10
10<y<20
20<y<30
y>30
Answer: D
Question: The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal ?
Choices:
April 11
May 20
April 10
June 30
Answer: B
Question: Average monthly income of a family of 4 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
Choices:
Rs. 820
Rs. 990
Rs. 1385
None
Answer: B
Question: he time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
17 kmph.
14 kmph.
21 kmph.
19 kmph.
Answer: B
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
Choices:
39:40
39:50
39:44
39:41
Answer: A
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Choices:
20%
21%
22(2/3)%
None of these
Answer: A
Question: If 2x + 3y = 70; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
Choices:
32
36
22
None of these
Answer: B
Question: Two trains of length 160 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
32 sec
82 sec
24 sec
89 sec
Answer: C
Question: Which is a tool that helps RBI to stabilize money supply and prices of Government securities?
Choices:
OMY
OMO
OM6
OMD
Answer: B
Question: A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 140, how many coins of each type are there?
Choices:
30 coins
40 coins
80 coins
None of these
Answer: C
Question: Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
10
817
117
111
Answer: C
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.200 in 4 Years?
Choices:
7%
6.25%
2%
4%
Answer: B
Question: Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
Choices:
28
17
45
63
Answer: A
Question: Sri travels the first 6 hours of his journey at 40 mph speed and the remaining 3 hours at 20mph speed. What is the average speed of Sri's travel in mph?
Choices:
33.3mph
32.3mph
34.3mph
33.1mph
Answer: A
Question: How much time will take for an amount of Rs. 300 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4
6
3
2
Answer: B
Question: A rope of which a calf is tied is increased from 15 m to 18m, how much additional grassy ground shall it graze?
Choices:
1212
1210
3.11.14
291.1
Answer: C
Question: At the time of marriage, a man was 6 years elder to his wife. 6 years after their marriage, his age is 8/7 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
Choices:
30 years
18 years
24 years
36 years
Answer: D
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?
Choices:
Rs. 52000
Rs. 57000
Rs. 60000
Rs. 61000
Answer: B
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:
50%
100%
80%
70%
Answer: B
Question: Two employees A and B are paid a total of Rs. 580 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
Choices:
s.140
s.150
s.232
s.280
Answer: C
Question: The train travels at an average speed of 25km/h, to the top of the hill where the midpoint of the trip is. Going down hill, train travels at an average speed of 5km/h. Which of the following is the closest approximation of train's average speed, in kilometers per hour, for the round trip?
Choices:
8.3
2.6
4.2
6.5
Answer: A
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 27.3%. What would have been the percentage of profit earned if no discount had been offered?
Choices:
27.675
30
34%
None of these
Answer: C
Question: A pharmaceutical company received $6 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Choices:
15%
45%
52%
72%
Answer: D
Question: X and Y walk around a circular track. They start at 10 a.m from the same point in the opposite directions. X and Y walk at a speed of 6 rounds per hour and 7 rounds per hour respectively. How many times shall they cross each other before 3 p.m
Choices:
65
66
67
68
Answer: A
Question: Sahil purchased a machine at Rs 14000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
Choices:
Rs. 24000
Rs. 26000
Rs. 30000
None of these
Answer: C
Question: John's marks wrongly entered as 82 instead of 62. Due to that the average marks for the class got increased by half (1/2). The number of John in the class is?
Choices:
78
80
84
90
Answer: B
Question: Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
Choices:
14
15
16
20
Answer: A
Question: The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
Choices:
Rs.154.75
Rs.156.25
Rs.158
None
Answer: B
Question: A tailor trims 6 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. If 120 square feet of cloth remain, what was the length of a side of the original piece of cloth?
Choices:
22
24
26
28
Answer: A
Question: If a*b=2a-3b+ab,then3*5+5*3 is equal to
Choices:
22
25
28
30
Answer: A
Question: A, B and C can do a piece of work in 5 days, 10 days and 15 days respectively. How long will they taken, if all the three work together?
Choices:
4
2 8/11
67
9
Answer: B
Question: A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
Choices:
10% Loss
20% Loss
25% Loss
30% Loss
Answer: A
Question: If 9!/3^x is an integer, what is the greatest possible value of x?
Choices:
4
5
6
7
Answer: A
Question: eight children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
Choices:
480
540
720
840
Answer: C
Question: Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 3 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?
Choices:
8.25%
4.25%
6.25%
7.25%
Answer: C
Question: Egg Street begins at Toast Street and runs directly east for 6.6 kilometers until it ends when it meets Jam Street. Egg Street is intersected every 120 meters by a perpendicular street, and each of those streets other than Toast Street and Jam Street is given a number beginning at 1st Street (one block east of Toast Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Jam Street. What is the highest-numbered street that intersects Egg Street?
Choices:
53rd
54th
56th
57th
Answer: B
Question: On flipping 3 coins together what is the outcomes for at least three tails?
Choices:
{HHT, HHT, HTH, THH}
{TTH, HHT, HTH, THH}
{TTT, HHT, HTH, THH}
None
Answer: D
Question: If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z>(x − 1)/(y − 1)
III. z>(x + 1)/(y - 1)
Choices:
I and II
II and III
I only
I and III
Answer: A
Question: In a series of six consecutive even numbers, the sum of the fifth and sixth numbers is 42. What is the second number?
Choices:
12
14
18
16
Answer: B
Question: The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Choices:
20
40
None of these
Either (a) or (b)
Answer: A
Question: P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
17:6
17:9
17:2
17:3
Answer: D
Question: Which of the following is not an odd function?
Choices:
f(x) = x5
f(x) = x2 - x
f(x) = |x|3
None of these
Answer: C
Question: A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 22,680, then what is B's share in the profit?
Choices:
Rs. 3000
Rs. 4200
Rs. 5200
None of these
Answer: B
Question: Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
Choices:
16
99
14
12
Answer: A
Question: Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 14% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $14,000 imported car and ended up paying $1440 in taxes, what is the first tier's price level?
Choices:
$5333
$6050
$7050
$8000
Answer: A
Question: A train 500 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:
300 m
800 m
967 m
1181 m
Answer: B
Question: Dacid obtained 86, 89, 82, 87 and 81 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
99
88
85
75
Answer: C
Question: In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
48
11
56
7
Answer: B
Question: What is the are of an equilateral triangle of side 12 cm?
Choices:
36âˆš3 cm2
64âˆš3 cm2
64âˆš5 cm2
14âˆš3 cm2
Answer: A
Question: If one-third of one-fourth of a number is 18, then three-tenth of that number is:
A. 35
Choices:
87
26
64.8
01
Answer: C
Question: The true discount on a bill of Rs.4320 is Rs.720.The banker's discount is
Choices:
864
866
868
None of these
Answer: A
Question: How many revolutions will it take for a circular wheel of 1.52 m radius to travel a distance of 1 km?
Choices:
3554.2
1554.2
9454.2
9554.3
Answer: D
Question: Pat, Kate, and Mark charged a total of 126 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?
Choices:
36
72
70
108
Answer: C
Question: Find the area of a cuboid of length 12cm , breadth 6 cm . and height 10cm.
Choices:
410 cm cube
720 cm cube
730 cm cube
480 cm cube
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
20%
22%
23%
29%
Answer: A
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choices:
10 kmph
12 kmph
12.5 kmph
None of these
Answer: C
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Choices:
50 km
60 km
70 km
65 km
Answer: A
Question: What is the area of a square field whose diagonal of length 30 m?
Choices:
269
450
200
230
Answer: B
Question: Two trains start from A & B and travel towards each other at
speed of 70kmph and 80kmph resp. At the time of the meeting the
second train has traveled 200km more than the first.the distance
between them.
Choices:
3000 km
3500 km
4000 km
4500 km
Answer: A
Question: In a particular city there are 100 homes numbered from 1,2,3,..,100. The city was build by a builder from Chennai. There was 4 to 5 shops in the town which was build by a builder from Mumbai. The 2nd builder can build in 1½ times as compared to time by 1st builder. The 2nd builder builds in 15 days, then how many 2's are used by the builder from Chennai in
numbering the 100 homes?
Choices:
18
19
20
21
Answer: C
Question: A container has 40L milk. 4L milk is taken out and replaced with water, the process done three times. What is the amount of milk now left?
Choices:
29.16L
29.12L
29.11L
29.14L
Answer: A
Question: An outlet pipe can empty 3/4 of a cistern in 12 minutes. In 4 minutes, what part of the cistern will be emptied?
Choices:
1/3
1/4
1/5
1/6
Answer: B
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Choices:
11289
68928
14000
16881
Answer: C
Question: Which voltage source converts chemical energy to electrical energy?
Choices:
39
27
98
72
Answer: A
Question: A and B can do a work in 8days, B and C can do it in 12days; A,B and C together can finish it in 6days. A and C together will do it in?
Choices:
8days
12days
7days
5days
Answer: A
Question: What percent is 2 minutes 24 seconds of an hour?
Choices:
8%
4%
2%
9%
Answer: B
Question: A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
Choices:
80
85
82
89
Answer: D
Question: The total of the ages of Mahesh, Suresh, Ramesh is 93 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?
Choices:
38years
42years
35years
30years
Answer: A
Question: The cost price of a radio is Rs.1390 and it was sold for Rs.890, find the loss %?
Choices:
12%
22%
35%
21%
Answer: C
Question: Jack and Jill went up and down a hill. They started from the bottom and Jack
met jill again 20 miles from the top while returning. Jack completed the race
1 min a head of jill. if the hill is 440 mts high and their speed while down
journey is 1.5 times the up journey. how long it took for the Jack to
complete the race ?
Choices:
11.6 min
12.6 min
13.6 min
14.6 min
Answer: B
Question: The S.I. on a certain sum of money for 5 years at 6% per annum is half the C.I. on Rs. 3000 for 2 years at 15% per annum. The sum placed on S.I. is?
Choices:
1256.3
1612.5
1548.5
1254.5
Answer: B
Question: If 18 is 15 percent of 20 percent of a certain number, what is the number?
Choices:
36
40
600
400
Answer: C
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68
26
11
21
Answer: A
Question: Avg cost of 3 apples and 5 bananas isRs. 40.The avg cost of 5 apples and 8 bananas is Rs.65.Find the total cost of 15 apples and 15 bananas?
Choices:
75
80
130
110
Answer: A
Question: An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?
Choices:
3
5
6
7
Answer: A
Question: A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
Choices:
37 ½ days
31 days
22 days
21 days
Answer: A
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices:
16.66%
17.66%
17.98%
18%
Answer: A
Question: The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 6 years?
Choices:
29859
14500
14600
15400
Answer: A
Question: A book is bought for Rs.675 and sold for Rs.900, find the profit percentage?
Choices:
33%
33 1/3%
40%
45%
Answer: B
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
27
29
30
Answer: A
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
90
95
98
100
Answer: A
Question: Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/3 of capacity in 6 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?
Choices:
3.6
4.2
4.4
6
Answer: D
Question: (X+1 )is an even number and Y is a positive odd number. Which of the following expressions cannot be even?
Choices:
Y
(X+1)^Y
(Y+1)^3
(Y+1)^2
Answer: A
Question: If x^2 + 1/x^2 = √12, what is the value of x^4 + 1/x^4 ?
Choices:
10
14
16
18
Answer: A
Question: Find the L.C.M of 16, 25, 24 and 10.
Choices:
1400
1320
1200
1650
Answer: C
Question: The smallest value of n, for which n+3 is not a prime number, is
Choices:
2
6
8
3
Answer: D
Question: If the number92737*2 is completely divisible by 8, then the smallest whole number in place of * will be?
Choices:
1
3
4
None of these
Answer: A
Question: Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 15 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip?
Choices:
35
44
50
52.5
Answer: A
Question: X Y
+Y X
________
The sum of the two digit numbers above is a three digit number PQ3, where each letter X, Y, P, and Q represents a different non zero digit. Which of the following can be the value of X?
I)	7
II)	8
III)	9
Choices:
II only
III only
I , II and III
I and II only
Answer: C