antoine-444/aqua_rat_dataset huggingface dataset:
Question: A train starts from Delhi at 6.00 a.m. and reaches Meerut at 10 a.m. The other train starts from Meerut at 8 a.m. and reaches Delhi at 11.30 a.m. If the distance between Delhi and Meerut is 200 km, then at what time did the two trains meet each other?
Choices:
8.56 a.m
7.56 a.m
8.30 a.m
None of these
Answer: A
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
28
29
54
20
Answer: D
Question: Jacob is 10 years old. He is 5 times as old as his brother. How old will Jacob be when he is twice as old?
Choices:
14
15
16
17
Answer: A
Question: There are ten houses on the street. Three people live in each house. How many people live on the street?
Choices:
25
30
32
9
Answer: B
Question: On the shelf, there are three books of poetry, five novels, and eight reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work?
Choices:
1/3
1/4
1/5
1/6
Answer: A
Question: Sum of the consequent 7 integers equals 1617. Find the no. of prime numbers in that sequence.
Choices:
2
3
4
5
Answer: A
Question: To gain profit, a milkman adds 1.5 litre of water to a certain amount of milk. He sells the adulterated milk at Rs.28 per litre and pure milk costs Rs.36 per litre. Find the amount of milk.
Choices:
5.25
5.22
5.21
5.29
Answer: A
Question: How many pieces of 85 cm length can be cut from a rod of 25.5 meters long?
Choices:
40
30
20
10
Answer: B
Question: Matt and Peter can do together a piece of work in 24 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately.
Choices:
24
26
27
28
Answer: A
Question: The tank contains 16 Fishes. 5 of the fishes are shark, 6 are jelly fishes, and 5 are gold fishes. If two fishes are randomly selected from the tank, one after the other, what is the probability that both will be jelly fishes?
Choices:
1/8
1/6
2/7
8/7
Answer: A
Question: P can do a work in 15days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Choices:
7/13
8/15
9/17
2/13
Answer: B
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
20
288
277
12
Answer: A
Question: If f(a)=2a+6, what is the value of (f(2a)+f(a)) ?
Choices:
8a-7
9a+5
6a+12
3a+5
Answer: C
Question: Two dishonest shop-owners mix water to milk before selling it in the market. The first shop-owner mixes
water to milk in the ratio 2 : 1 and second shop-owner mixes water to milk in the ratio 3 : 1. Now if both
of them sell the milk at their cost price of $.60 and $.80 respectively, then from which shop-owner should the customer purchase the milk to get the maximum quantity of pure milk per $ paid?
Choices:
1st milkman
Any one
Data Inadequate
none of above
Answer: A
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
18.8 sec
14.8 sec
10.8 sec
11.8 sec
Answer: C
Question: 21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?
Choices:
49
36
41
45
Answer: A
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 2/5 % his yearly income diminishes by Rs.61.50. his capital is
Choices:
37.78
246.0
278.88
102.5
Answer: D
Question: How many words can be formed by using all letters of the word ‘RIO’ ?
Choices:
6
8
9
10
Answer: A
Question: What is the twenty-third decimal to the right in the fraction 23/24?
Choices:
1
3
4
5
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 3 years and that for 9 years?
Choices:
1 : 3
1 : 2
3 : 2
1 : 4
Answer: A
Question: for which value of n, 4^85+2^3373+4^n will be the perfect square ??
Choices:
1978
1578
2578
3287
Answer: D
Question: A driver goes on a trip of 60 kilometers, the first 30 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
Choices:
32
36
40
42
Answer: A
Question: Eight cards numbered from 1 to 8 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 4?
Choices:
2/5
1/7
2/7
3/7
Answer: C
Question: A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
166
240
157
180
Answer: D
Question: 8k8
+ k88
--------
1,6e6
If k and e represent non-zero digits within the integers above, what is e?
Choices:
6
8
9
17
Answer: A
Question: in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 7 people all together .how many people can sit in a bus?
Choices:
49
95
88
66
Answer: C
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 24 minutes. The waste pipe can empty the full cistern in?
Choices:
7 min
6 min
9 min
4 min
Answer: B
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
25
27
12
Answer: A
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
5
8
9
4
Answer: B
Question: If p is even and q is odd, which of the following is odd?
Choices:
5pq
6(p^2)q
5p + 6q
6p + 5q
Answer: D
Question: If x and y are positive integers and 20x=10y what is the least possible value of xy?
Choices:
28
63
84
100
Answer: D
Question: A hat vendor bought hats at Rs 5 per 3 hats. He sold them at Rs 10 per 4 hats. What was his profit percentage?
Choices:
50
77
88
11
Answer: A
Question: A man is 32 years older than his son. In six years, his age will be twice the age of his son. The present age of this son is
Choices:
26 years
28 years
29 years
30 years
Answer: A
Question: A reduction of 15% in the price of oil enables a house wife to obtain 4kgs more for Rs.1200, what is the reduced price for kg?
Choices:
55
35
45
40
Answer: C
Question: How many positive integers less than 255 are multiple of 4 but NOT multiples of 6?
Choices:
31
42
43
64
Answer: C
Question: Rice weighing 3power3/4 pounds was divided equally and placed in 4 containers. how many ounces of rice were in each?
Choices:
15 ounces
12 ounces
22 ounces
35 ounces
Answer: A
Question: Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 40 kmph. What is the time in minutes per hour for which train stops?
Choices:
30 min/hr
32 min/hr
45 min/hr
12 min/hr
Answer: A
Question: One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?
Choices:
6
0
9
19
Answer: C
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age one years back was?
Choices:
12 years
14 years
16 years
18 years
Answer: D
Question: A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 6 kilometers per hour. It returns by the same route at an average speed of 5 kilometers per hour. What is the average speed for the round-trip in kilometers per hour?
Choices:
5.5
7.2
7.0
8.0
Answer: A
Question: Determine a man’s present age if his present age is 125% of his age 10 years ago and 83.333% of his age 10 years from now.
Choices:
50 years
60 years
70 years
80 years
Answer: A
Question: A boat can travel with a speed of 40km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 45km downstream.
Choices:
1 hr
3 hrs
4 hrs
5 hrs
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:
278
245
265
123
Answer: B
Question: Kathy has 34 tokens for the bus. She uses three tokens a week. How
many weeks can Kathy use the bus before she has to buy more tokens?
Choices:
11 weeks-1 token
13 weeks-2 token
15 weeks-5 token
16 weeks-7 token
Answer: A
Question: The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.
Find how much younger is the new member ?
Choices:
15
40
52
14
Answer: B
Question: A coin is tossed 4 times. What is the probability z that the number of Heads is equal to the number of Tails?
Choices:
1/4
3/8
1/2
9/16
Answer: B
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
23 years
25 years
26 years
27 years
Answer: A
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.5
62.8
62.1
62.2
Answer: A
Question: Convert 300 inches into centimeter?
Choices:
750cm
650cm
710cm
754cm
Answer: D
Question: On a certain Monday, Carlos drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 60 miles per hour. Which of the following is closest to his average speed for both trips combined?
Choices:
54.54
53
55
56
Answer: A
Question: nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
Choices:
535 cm2
285 cm2
324 cm2
235 cm2
Answer: B
Question: What could be the range of a set consisting of odd multiples of 11?
Choices:
24
44
62
70
Answer: B
Question: A, B and C started a shop by investing Rs. 2,000, Rs. 6,000 and Rs. 2,000 respectively. At the end of the year, the profits were distributed among them. If Câ€™s share of profit be Rs. 300, then the total profit was :
Choices:
60,000
80,000
1500
None
Answer: C
Question: Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
Choices:
6 ; 10.
4 ; 10.
5 ; 25.
3 ; 10.
Answer: A
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 312 votes. Find the number of votes casted to the winning candidate?
Choices:
744
788
298
806
Answer: D
Question: Ten women can do a work in six days. Six men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Choices:
2:1
2:3
3:2
None of these
Answer: A
Question: What is the sum of the different positive prime factors of 320?
Choices:
7
15
17
21
Answer: A
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 100. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
182
190
137
371
Answer: B
Question: What annual installment will discharge a debt of Rs. 1176 due in 3 years at 12% simple interest?
Choices:
350
325
335
None of them
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:
60
75
90
95
Answer: C
Question: A is three years older than B who is thrice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Choices:
12 years
14 years
15 years
8 years
Answer: D
Question: Suganya and Suriya are partners in a business. Suganya invests Rs. 32,000 for 8 months and Suriya invests Rs.28,000 for 10 months. Out of a profit of Rs.30,570. Suganya's share is
Choices:
Rs.12,628
Rs.912.54
Rs.18,942
None
Answer: B
Question: John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment E that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
Choices:
a. 3/5
c.7/10
d.3/4
e.4/5
Answer: A
Question: There are 24 students in Chadâ€™s class. He brought 25 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over?
Choices:
1-7
2-8
1-1
3-10
Answer: C
Question: John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 160% of John's weight. Which of these 5 people weighs the least?
Choices:
Susan
Sam
Mark
Lynn
Answer: A
Question: The least common multiple of positive integer m and 3-digit integer n is 690. If n is not divisible by 3 and m is not divisible by 2, what is the value of n?
Choices:
230
460
575
690
Answer: A
Question: A student was asked to find 4/5 of a number. But the student divided the number by 4/5, thus the student got 27 more than the correct answer. Find the number.
Choices:
50
60
70
80
Answer: B
Question: Find the next number in the Sequence
3, 8, 23, 48, ?
Choices:
84
85
83
81
Answer: C
Question: A library has an average of 150 visitors on sundays and 120 on other days . The avearge number of visitors per day in a month of 30 days beginning with a sunday is?
Choices:
75
150
125
100
Answer: C
Question: A fold density is 19 times greater than the water and for copper it is 9 times. At what ratio you can mix gold
and copper to get 15 times denser than water. ?
Choices:
3 : 2
3 : 5
3 : 8
3 : 7
Answer: A
Question: Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7200 km and comes back to the starting point. The total time taken by him is:
Choices:
914.2 hours
915 hours
905 hours
915 hours
Answer: A
Question: The number of arrangements that can be made with the letters of the word MEADOWSS so that the vowels occupy the even places?
Choices:
144
720
992
221
Answer: B
Question: What should come in place of the question mark (?) in the following equation?
45789+ 34567 = 610+ ?
Choices:
13678
23456
56789
79746
Answer: D
Question: Today is Monday.After 61 days,it will be
Choices:
Saturday
Tuesday
Thursday
None of these
Answer: A
Question: If 2 men or 3 women can reap a field in 8 days how long will 3 men and 4 women take to reap it?
Choices:
1/16
3/24
5/16
6/26
Answer: C
Question: If x is an integer, then x(x – 1)(x – k) must be evenly divisible by 4 when k is any of the following values EXCEPT
Choices:
-3
-1
2
5
Answer: A
Question: 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 5m3 , then the rise in the water level in the tank will be:
Choices:
31.25 cm
35 cm
50 cm
None of these
Answer: A
Question: In how many ways can the letters of the word 'PRAISE' be arranged. So that vowels do not come together?
Choices:
576
440
144
None of these
Answer: A
Question: What is the remainder when 1271 * 1275 * 1277 *1289 is divided by 12?
Choices:
1
9
11
7
Answer: B
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 70, the dividend is:
Choices:
B)5330
C)12320
D)53400
E)53420
Answer: B
Question: A class consists of 6 boys and 5 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?
Choices:
50
32
60
240
Answer: A
Question: The value of land increases by u% during June and decreases by v% during July. If the value of the land is the same at the end of July as at the beginning of June, what is v in terms of u?
Choices:
100u/(100+u)
u(2+u)/(1+u)2
u(200+u)/10000
2u/u+2u
Answer: A
Question: A cricket bat is sold for $900, making a profit of $100. The profit percentage would be
Choices:
12.5%
30%
36%
40%
Answer: A
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12 m
777.52 m
756.34 m
766.34 m
Answer: A
Question: The average weight of A, B and C is 75 kg. If the average weight of A and B be 88 kg and that of B and C be 72 kg, then the weight of B is:
Choices:
59 kg
62 kg
63 kg
61 kg
Answer: C
Question: Tough and Tricky questions: Work/Rate Problems.
If it takes 60 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?
Choices:
11
6
7/3
9/7
Answer: B
Question: A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work , how much time shall B take to do it ?
Choices:
30 days
40 days
None of these
Cannot be determined
Answer: A
Question: A man has some hens and cows. If the number of heads be 50 and the number of feet equals 140, then the number of hens will be:
Choices:
23
24
30
28
Answer: C
Question: There is a five-digit number. The fifth digit is one fourth of the third digit and one half of the fourth digit. Third digit is one half of the first digit. Second digit is 5 more than the fifth digit. What is that 5-digit number?
Choices:
86421
89421
96421
76421
Answer: A
Question: When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b+d?
Choices:
24
25
26
27
Answer: D
Question: The age of Somu is one-third his father's. 10 years back he was one-fifth of his father's age. What is his persent age ?
Choices:
13
14
12
20
Answer: D
Question: A secret can be told only 2 persons in 5 minutes .the same person tells to 2 more persons and so on . How long will take to tell it to 768 persons ?
Choices:
35 min
37 min
39 min
45 min
Answer: A
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 12 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
18:3
11:1
11:5
11:4
Answer: C
Question: Look at this series: J14, L16, __, P20, R22, ... What number should fill the blank?
Choices:
N18
M18
T24
T28
Answer: A
Question: After decreasing 24% in the price of an article costs Rs.1140. Find the actual cost of an article?
Choices:
1500
1200
6151
1421
Answer: A
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choices:
2690
2668
9261
2312
Answer: C
Question: A farmer is planting a row consisting of 3 unique apple trees and 4 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
Choices:
288
1,024
1,152
10,080
Answer: A
Question: Two trains of equal lengths take 10 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
13 sec
16 sec
15 sec
18 sec
Answer: A
Question: A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 90% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
Choices:
1.5 lakh
1.9 lakh
8.1 lakh
6.1 lakh
Answer: A
Question: Due to 10% decrease in the price of sugar and John can buy 2kg more sugar in Rs100 , then find the CP of sugar?
Choices:
s. 5(5/9)
s. 2(1/9)
s. 3(2/7)
s. 4(2/9)
Answer: A
Question: Find the mean proportional between 36 & 49?
Choices:
A)42
C)63
D)65
E)67
Answer: A
Question: At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/3 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?
Choices:
17 fewer
92 fewer
36 fewer
44 fewer
Answer: B
Question: The area of a triangle is with base 4m and height 5m?
Choices:
10
288
87
22
Answer: A
Question: Rajan and Rakesh started a business and invested Rs. 20,000 and Rs. 25,000 respectively. After 4 months Rakesh left and Mukesh joined by investing Rs. 15,000. At the end of the year there was a profit of Rs. 4,600. What is the share of Rajan?
Choices:
2100
2200
2300
2400
Answer: D
Question: In a 200 Meter race A beats B by 35 Meters in 7 seconds. A's time over the cause is?
Choices:
40 sec
45 sec
33 sec
35 sec
Answer: C
Question: At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 15th highest price and the 22nd lowest price among the prices of the items sold, how many items were sold at the garage sale?
Choices:
35
36
37
38
Answer: B
Question: If the average (arithmetic mean) of a and b is 110, and the average of b and c is 150, what is the value of a − c?
Choices:
−100
100
−80
It cannot be determined from the information given
Answer: C
Question: A mixture of 150 liters of wine and water contains 15% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
30
20
15
17
Answer: B
Question: If n = 5^11 – 5, what is the units digit of n?
Choices:
0
4
6
8
Answer: A
Question: A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
Choices:
7
9
2
1
Answer: B
Question: The length of a rectangle is reduced by 15%. By what % would the width have to be increased to maintain the original area?
Choices:
20%
17.6%
30%
35%
Answer: B
Question: he total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Choices:
65
75
85
95
Answer: B
Question: A three-digit positive integer is chosen at random. What is the probability that the product of its digits is even?
Choices:
31/36
49/54
7/8
11/12
Answer: A
Question: Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
167
120
168
619
Answer: B
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
38
30
77
27
Answer: B
Question: How many seconds will a train 100 meters long take to cross a bridge 160 meters long if the speed of the train is 36 kmph?
Choices:
26
25
82
27
Answer: A
Question: Find all rational zeros of P(x) = x3*cubic* - 7x + 6.
Choices:
1,2,-3
1,4,-7
4,3,-1
3,3,-8
Answer: A
Question: How much water must be added to 48 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Choices:
12 litres
15 litres
18 litres
None of these
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
150 meter
200 meter
480 meter
153 meter
Answer: A
Question: What is the number of triangles that can be formed whose vertices are the vertices of an octagon but have only one side common with that of octagon?
Choices:
32
88
29
01
Answer: A
Question: Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
Choices:
12/11 %
2 %
5 5/11 %
10/6%
Answer: C
Question: The product of two positive integers is 575 and their difference is 2. What is the bigger number?
Choices:
23
25
27
29
Answer: B
Question: Raja and David invested in a business. They earned some profit which they divided in the ratio of 2:4. If RAM invested Rs.10, 000, the amount invested by David is:
Choices:
Rs. 22000
Rs. 20000
Rs. 23000
Rs. 24000
Answer: B
Question: Some of the people in Town L are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town L, three times as many people are tall as are tall in Town L, three times as many people are both as are both in Town L, but no one is neither. If the total number of people in Town L is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town L who are neither left-handed nor tall?
Choices:
39
72
143
199
Answer: C
Question: If a and b are different positive integers and a + b = a(a + b), then which of the following must be true?
I. a = 1
II. a = 0
III. b < a
Choices:
I only
III only
I and II
I and III
Answer: A
Question: A regular 10 sided area is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
Choices:
54 degrees
72 degrees
84 degrees
72 degrees
Answer: D
Question: If p is a natural number and p! ends with w trailing zeros, then the number of zeros that (5p)! ends with will be
Choices:
a) (p+w) trailing zeros
c) (5p+5y) trailing zeros
d) (p+5y) trailing zeros
e) none of them above
Answer: A
Question: 841, 784, 729, 676, 625, ?
Choices:
576
484
441
400
Answer: A
Question: If a,b are positive integers and a/b=67.75 which of the following could be the value of b?
Choices:
2. 26
4. 20
4. 27
5. 30
Answer: B
Question: Rs.1210 were divided among A,B,C so that A : B = 5 : 4 and B : C = 9 : 10.Then,C gets :
Choices:
Rs.400
Rs.450
Rs.475
None
Answer: A
Question: The compound ratio of 2/3, 6/7, 4/3 and 1/8 is given by?
Choices:
2/21
1/98
1/96
1/68
Answer: A
Question: if p is number greater than 99 ,e is the probability of divisiblity of any even whole number p, and O is the probablity of any odd whole number divisible by p , w is probablity of any whole number divisible by p.
Choices:
e=w/2
o=w/2
either (b) or (c)
none
Answer: B
Question: In how many ways can the letters D, I, G, I be arranged so that the two I's are not next to each other?
Choices:
48
72
6
128
Answer: C
Question: If December 3rd, 1999 is a Friday, what day is January 4th, 2000?
Choices:
Tuesday
Friday
Saturday
Sunday
Answer: A
Question: There are 14 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Choices:
91
45
60
90
Answer: A
Question: A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 360 miles apart, at what time will the trains pass each other?
Choices:
12:58pm
12:55pm
1:00pm
1:05pm
Answer: A
Question: How many four-digit integers exist such that all their digits are odd?
Choices:
100
120
125
625
Answer: D
Question: How many numbers between 11 and 90 are divisible by 7?
Choices:
10
11
12
13
Answer: B
Question: Noelle walks from point A to point B at an average speed of 6 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 7 kilometers per hour?
Choices:
7
7.25
7.5
8.4
Answer: D
Question: 0.014×0.014= ?
Choices:
0.000196
19.6
196
NONE
Answer: A
Question: The salaries of A,B,C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
Choices:
10 : 11 : 20
23 : 33 : 60
Cannot be determined
None of these
Answer: B
Question: A man can row upstream at 25 kmph and downstream at 39 kmph, and then find the speed of the man in still water?
Choices:
67
30
15
32
Answer: D
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs.180
Rs.200
Rs.220
Rs.250
Answer: D
Question: A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
20
88
71
11
Answer: A
Question: How many different positive integers exist between 10^2 and 10^3, the sum of whose digits is equal to 2?
Choices:
3
6
7
8
Answer: A
Question: what is the distance between two parallel chords of length 32 cm and 24 cm in a circle of radius 20 cm ?
Choices:
3 or 21
4 or 28
2 or 14
2 or 15
Answer: B
Question: Can you find the last number in the number sequence given below?
10 : 10 : 20 : 45 : 110 : 300 : ?
Choices:
nine hundred thirty
450
330
220
Answer: A
Question: Two persons start running simultaneously around a circular track of length 700 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
28 seconds
49 seconds
57 seconds
63 seconds
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/452
12/455
12/429
12/292
Answer: B
Question: A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?
Choices:
10 years
15 years
20 years
25 years
Answer: B
Question: A man buys a cycle for Rs.1400 and sells it at a loss of 18%. What is the selling price of the cycle?
Choices:
Rs.1148
Rs.1190
Rs.1202
NONE
Answer: A
Question: The length of the longest rod that can fit in a cubical room of 4 m side is?
Choices:
3:1
3:0
3:2
3:5
Answer: A
Question: The ratio of men to women in the Snyder community choir is 4 to 3. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?
Choices:
27
31
32
34
Answer: A
Question: Jadeja rented a power tool from a rental shop. The rent for the tool was $13 for the first hour and $8 for each additional hour. If Jadeja paid a total of $133, excluding sales tax, to rent the tool, for how many hours did she rent it?
Choices:
19
16
13
12
Answer: B
Question: Arjun started a business with Rs. 40,000 and is joined afterwards by Anoop with Rs.80, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?
Choices:
4
5
6
7
Answer: C
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/11
Choices:
b) 6
c) 10
d) 14
e) 32
Answer: C
Question: Each student is given a five-character identification code. The first three characters are selected from the numbers 0 to 9 inclusive, and the last two characters are selected from the 26 letters of the alphabet. If characters may be repeated and the same characters used in a different order constitute a different code, how many different identification codes can be generated following these rules?
Choices:
665,000
676,000
683,000
694,000
Answer: B
Question: 1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
Choices:
99
32
44
66
Answer: B
Question: 5 tables and 10 chairs were sold for 20000.15%gain for table,10%loss on chair.overall profit rs 750.the cp of table is
Choices:
1940
2040
2140
3240
Answer: C
Question: The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 10 and 15. The larger of the two numbers is:
Choices:
250
450
500
620
Answer: B
Question: On average, the boys in the class have 12 erasers and the girls have 26 erasers. If the overall class average is 18 erasers, what is the ratio of boys to girls in the class?
Choices:
3/2
4/3
5/4
6/5
Answer: B
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
20
18
24
22
Answer: D
Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is?
Choices:
20
28
29
30
Answer: A
Question: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 6 and the product of the given number and the sum of its digits is equal to 136.
Choices:
93
39
28
17
Answer: D
Question: For what range of values of 'x' will the inequality 15x - 2/x > 1?
Choices:
x < 1/3
-1/3 < x < 0.4, x > 15/2
-1/3 < x and x< 0, x > 2/5
x < -1/3 and x > 2/5
Answer: C
Question: Selling 1 kilogram of mangoes for Rs. 500, a shop keeper gains 5%. During an seasonal time, the shopkeeper allows a discount of 5% on the marked price. His gain/loss percent during the sale is?
Choices:
2%
0.2%
5%
10%
Answer: B
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
Choices:
2669
2600
1500
1267
Answer: C
Question: Eight fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
56
60
64
72
Answer: A
Question: A group of 36 students are visiting an amusement park. The tickets are $6 for an individual or $30 for a group up to 10 people. What is the minimum amount the group has to pay?
Choices:
$320.
$220.
$420.
$120.
Answer: D
Question: If points X and Y are two distinct points in the coordinate plane, which of the following can have more than one possible value?
Choices:
The area of a square with diagonal XY.
The perimeter of a right isosceles triangle with a leg XY.
The area of a circle with chord XY.
The area of an equilateral triangle with base XY.
Answer: B
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $252 per week. How much does she earn in dollars per hour?
Choices:
10
9
8
7
Answer: D
Question: Two trains 140 m and 150 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
13.8 sec
53.8 sec
10.44 sec
10.4 sec
Answer: C
Question: The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
Choices:
536
544
548
586
Answer: C
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 4 days. B can do the work alone in?
Choices:
12
11
24
114
Answer: C
Question: What is the ratio of y to x if (x + 3y) / ( x - y) = 5/4?
Choices:
-5/3
1/17
3/5
15/1
Answer: B
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 1.15 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
54 sec
48 sec
33 sec
12 sec
Answer: A
Question: The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-5), how many units is P from the y-axis?
Choices:
5
7.5
10
12
Answer: C
Question: Evaluate:60 - 12*3*2 =?
Choices:
52
62
72
82
Answer: A
Question: Jackson purchased a refrigerator and a mobile phone for $15000 and $8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
profit of Rs. 200
loss of Rs. 100
loss of Rs. 200
None of these
Answer: A
Question: 81 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choices:
A)99
C)66
D)55
E)88
Answer: A
Question: There are 15 members in a family. it takes 180 days for a women to complete the work, however man completes in 120 days. They take 17days to complete the work if men work on alternate days and women work every third day. if all of them started together on the 1st day, then how many women are there in the family
Choices:
2
3 women
4
5
Answer: B
Question: An exam consists of 2 true/false questions. Brian forgets to study, so he must guess blindly on each question. If any score above 70% is a passing grade, what is the probability that Brian passes?
Choices:
1/16
1/2
219/256
15/16
Answer: A
Question: A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different colors c patterns can be floor be parqueted?
Choices:
213
3^5
705
726
Answer: D
Question: How many integers between 1 and 1,050 are divisible by 10, 25, and 35?
Choices:
5
6
7
3
Answer: D
Question: Akhil borrowed a certain sum of money at the rate of 6%, 9% and 14% for a period of first two years, next three years and beyond the period of five years respectively. If at the end of nine years, he paid Rs. 8550 as interest, then find the sum of money he had borrowed.
Choices:
Rs. 9,019
Rs. 9,199
Rs. 9,000
Rs. 9,192
Answer: C
Question: Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $126 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
Choices:
720
1080
1200
1440
Answer: C
Question: A company that ships boxes to a total of 14 distribution 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:
8
5
9
6
Answer: B
Question: The population of a town is 286900. If it increase at the rate of 5% per annum. What will be its population for 3years hence?
Choices:
215600
194582
332122
215460
Answer: C
Question: The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1400, then what is the income of P1?
Choices:
s.2400
s.4000
s.3500
s.4200
Answer: C
Question: Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7020 km and comes back to the starting point. The total time taken by him is:
Choices:
900 hours
915 hours
891.4 hours
915 hours
Answer: C
Question: Miles breeds Beagles and sells the puppies. He has nine customers that each want the same amount of puppies. Miles currently has 138 puppies. How many puppies would he have to keep to accommodate their requests?
Choices:
4
5
8
3
Answer: C
Question: Convert 100miles into yards?
Choices:
35200 yards
39520 yards
42560 yards
176000 yards
Answer: D
Question: How much time does a train 150 metres long running at 54 km/hr take to pass a pole?
Choices:
2.5s
7.5s
7.6s
10s
Answer: D
Question: There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability Q that the number of men is equal to that of women?
Choices:
Q=18/35
14/35
13/35
12/35
Answer: A
Question: The average of 20 numbers is calculated as 30. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
26
60
97
12
Answer: B
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :
Choices:
2700
2887
2766
2981
Answer: A
Question: In a basketball game, Dhoni scored 5 points more than Dravid, but only half as many points as Shewag. If the three players scored a combined total of 115 points, how many points did Dhoni score?
Choices:
30
33
34
35
Answer: A
Question: A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.30 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
Choices:
Rs.1500
Rs.1000
Rs.1200
None of these
Answer: C
Question: What Is The Next Number
12 13 15 17 111 113 ?
Choices:
220
129
428
117
Answer: D
Question: A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Choices:
330
352
253
163
Answer: C
Question: When n is divided by 24, the remainder is 5. What is the remainder when 4n is divided by 8?
Choices:
5
4
6
7
Answer: B
Question: If a(a - 2) = 2 and b(b - 2) = 2, where a ≠ b, then a + b =
Choices:
−1
4
46
48
Answer: A
Question: Find the value of x in 8.5 – { 5 ½ – [7 ½ + 2.8]/x}*4.25/(0.2)^2 = 306
Choices:
3.4
3.5
4.1
4.2
Answer: B
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Choices:
27:52
27:57
57:52
27:54
Answer: A
Question: If m^(-1) = -1/7 then m^(-2) is equal to
Choices:
-3
-1/9
1/49
9
Answer: C
Question: Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for $1.05 cents, and Zachary buys a pencil and an eraser for 65 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.)
Choices:
325
350
375
400
Answer: C
Question: Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
Choices:
9
5
8
3
Answer: B
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.60000?
Choices:
19860
2688
2998
2789
Answer: A
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is?
Choices:
1/36
1/28
1/29
1/98
Answer: A
Question: There are 6 working days in a regular week and for each day, the working hours are 10. A man earns Rs. 2.10 per hour for regular work and Rs. 4.20 per hour for overtime. If he earns Rs.525 in 4 weeks, how many hours did he work?
Choices:
245
275
255
235
Answer: A
Question: A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and B together can do it in 2 hours. How long will C alone take to do it?
Choices:
5hours
6hours
4hours
3hours
Answer: D
Question: A boy has 12 trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
149ways
144ways
130ways
100ways
Answer: B
Question: A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 25km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is
Choices:
22.2km/hr
27.8km/hr
37.9km/hr
8.45km/hr
Answer: A
Question: A and B complete a job in 6 days. A alone can do the job in 9 days. If B works alone, how many days will it take to complete the job?
Choices:
15
18
21
24
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Choices:
125/120
125/126
125/125
125/121
Answer: B
Question: If x = 2, then what is the value of 8x √x3 – x2
Choices:
32
88
37
91
Answer: A
Question: The volume of a cube is 1728 cc. Find its surface?
Choices:
864
278
276
280
Answer: A
Question: Ram is working on a set of Data Sufficiency problems for his December GMAT: a geometry problem, an algebra problem, and a data interpretation problem. He has determined that statement 1 of the geometry problem is insufficient on its own, that both statement 1 and 2 of the algebra problem are insufficient on their own, and that statement 2 of the data interpretation problem is insufficient on its own. If the probabilities are expressed as percents R, approximately how much greater is the probability that all three answers are “C” after Ram figures out that statement 1 of the data interpretation problem is also insufficient on its own?
Choices:
R=2.8%
R=3.3%
5.6%
8.3%
Answer: A
Question: The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Choices:
31
88
99
12
Answer: A
Question: Suppose in 1960, the consumer price index was 70 while in 2015 it is 280. What monthly salary in 2015 would have the same purchasing power as a monthly salary of 800 dollars in 1960?
Choices:
3200
2030
3000
None
Answer: A
Question: At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?
Choices:
30%
40%
50%
60%
Answer: C
Question: Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
Choices:
6,435
12,100
12,870
25,740
Answer: C
Question: 1,000^2 + 1,001^2 +1,002^2 + 1,003^2 + 1,004^2 + 1,005^2+ 1,006^2 =
Choices:
6,030,054
6,030,055
6,042,091
6,030,057
Answer: C
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2.4% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Choices:
6.12%
8%
8.25%
10%
Answer: D
Question: The center of a circle is (5, -1). (5, 7) is outside the circle, and (1, -1) is inside the circle. If the radius, r, is an
integer, how many possible values are there for r?
Choices:
2
6
12
1
Answer: B
Question: Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 50 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach?
Choices:
50 miles
40 miles
30 miles
20 miles
Answer: A
Question: Ram and Krishna start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Ram meets Krishna at point C on the road which is 900m away from starting point A and 600m away from point B. The time taken by Ram to reach point B is 20minutes. Find the constant speed of Krishna.
Choices:
50 m/m
40 m/m
53.5 m/m
none of the above
Answer: A
Question: A table is bought for Rs.940/- and sold at Rs.820/- find the loss percentage
Choices:
12% Loss
20% Loss
20% Gain
30% Gain
Answer: A
Question: Rahul can finish one-fifth of hhis homework in one hour.Neha can finish three-seventh of her homework in one hout thirty minutes and riya can finish three fourth of her homework in three hours thirty minutes.If all of them start their homework at 12:00pm and can go to play as soon as they all finish their homework,when can they start to play,if they take a break at 3:30pm for thirty minutes?
Choices:
BY 5:30 pm
4.40pm
6.30pm
3.30pm
Answer: A
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
15
18
77
12
Answer: B