antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?
Choices:
4 : 3
9 : 7
7 : 9
8 : 1
Answer: C
Question: Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 4,500, how much money did investors B and C earn in total?
Choices:
$4,900
$5,600
$9,500
$13,500
Answer: D
Question: The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 15000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
Choices:
Rs. 8000
Rs. 8800
Rs. 9000
None
Answer: B
Question: x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 9 will be equal to:
Choices:
6
1/9
1/3
9
Answer: B
Question: What amount does Kiran get if he invests Rs. 16000 at 15% p.a. simple interest for four years?
Choices:
Rs. 15600
Rs. 21600
Rs. 24800
Rs. 25600
Answer: D
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
4.5
5.6
6.5
None of these
Answer: B
Question: At 30 minutes past 8 o'clock, what is the angle between the two hands?
Choices:
30
45
60
75
Answer: D
Question: I. m-14, m, m, m, m+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
Choices:
I, II, III
II, III, I
III, I, II
III, II, I
Answer: A
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 5 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Choices:
8
16
20
30
Answer: D
Question: City X has a population 8 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?
Choices:
1:4
2:1
4:1
16:1
Answer: D
Question: Diana is painting statues. She has 7/8 of a gallon of paint remaining. Each statue requires 1/16 gallon of paint. How many statues can she paint?
Choices:
20
28
14
19
Answer: C
Question: If the area of a circle is 49pi square feet, find its circumference.
Choices:
14 pi feet
42 pi feet
18 pi feet
64 pi feet
Answer: A
Question: If m = ||n – 3| – 2|, for how many values of n is m = 5?
Choices:
4
2
3
1
Answer: B
Question: The product of all the prime numbers less than 14 is closest to which of the following powers of 10 ?
Choices:
10^4
10^7
10^6
10^5
Answer: A
Question: In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 85% of the total?
Choices:
545.
606.
644.
666.
Answer: B
Question: A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
Choices:
B
C
D
ALL
Answer: B
Question: How many integers from 0 to 50 inclusive have a remainder of 3 when divided by 8?
Choices:
6
7
8
9
Answer: A
Question: In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turnon to be white, if all possible hypothesis concerning thecolor of theballs that initiallyin the bag were equally possible ?
Choices:
5/8
3/5
3/8
4/9
Answer: A
Question: The sale price Mobiles listed for Rs.8000 after successive discount is 20% and 10% is?
Choices:
5560
5770
5660
5760
Answer: D
Question: The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
Choices:
19
21
22
27
Answer: D
Question: For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 6 of whom are females, by how much does the index for the females exceed the index for the males in the group?
Choices:
0.4
0.2
0.25
0.6
Answer: A
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 12 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
105%
120%
96%
138%
Answer: C
Question: What must be added to each term of the ratio 4 : 15, so that it may become equal to 3 : 4?
Choices:
29
39
49
59
Answer: A
Question: The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C = 100,000p/(100 - p). According to this estimate, how much more would it cost to remove 80 percent of the pollutant from the pond than it would cost to remove 80 percent of the pollutant?
Choices:
0
$50,000
$10,000
$5,000
Answer: A
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 10 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Choices:
3 2/5min
3 3/5min
3 3/4min
3 min
Answer: C
Question: There are 4 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Choices:
1/14
3/14
1/15
1/16
Answer: B
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector so formed has a central angle of 80°, what fraction of the wheel’s area is represented by the second largest sector?
Choices:
1/36
1/18
1/12
7/36
Answer: D
Question: 10 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
90
35
99
80
Answer: A
Question: A tennis championship is played on a knock-out basis, i.e., a player is out of the tournament when he loses a match.
(a) How many players participate in the tournament if 15 matches are totally played?
(b) How many matches are played in the tournament if 50 players totally participate?
Choices:
16,49
16,48
16,47
None of these
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50 m
80 m
82 m
90 m
Answer: A
Question: A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.
Choices:
1260
1300
1500
2000
Answer: A
Question: A man has Rs. 400 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:
75
50
80
60
Answer: A
Question: In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 5 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Choices:
80.
56.
64.
16.
Answer: C
Question: If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 315, what is the greatest possible profit that might be made in selling eight books ?
Choices:
2677
1800
2778
920
Answer: D
Question: Carol is three times Kalice’s age but only twice as old as Betty. Alice is twelve years younger than Carol. How old is Betty?
Choices:
9
12
18
24
Answer: A
Question: A coin is tossed seven times. What is the probability that there is at the least one tail?
Choices:
127/128
31/18
31/10
31/19
Answer: A
Question: The price of lunch for 15 people was $206.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Choices:
$12.48
$13.80
$14.00
$15.87
Answer: A
Question: Last year a certain bond price with a face value of 5000 yielded 9% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
Choices:
5325
5351
6000
6923
Answer: D
Question: If the remainder is 11 when positive integer n is divided by 18, what is the remainder when n is divided by 9?
Choices:
2
1
3
4
Answer: A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
27
12
71
53
Answer: B
Question: The difference of 2 digit no. & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
Choices:
8
9
10
14
Answer: A
Question: 3 ltr of water is added with 11 ltr of a solution containing 42%of alcohol in the water. The %of alcohol in the new mixture is?
Choices:
35%
33%
40%
45%
Answer: B
Question: Which of these expressions has the greatest value?
Choices:
1892345/1862348
1215768/1215769
1532672/1532675
1214651/1214651
Answer: A
Question: There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?
Choices:
90
110
180
200
Answer: A
Question: If 15% of A is the same as 25% of B, then A : B is :
Choices:
5:3
7:16
12:17
11:13
Answer: A
Question: A card is drawn from a pack of 250 card numberd 1 to 200.what is the probability that drawing a no.which is perfect cube?
Choices:
1/40
1/30
3/40
5/40
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/429
1/409
1/420
Answer: A
Question: Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 9 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?
Choices:
12.
13.
14.
14.5
Answer: C
Question: After decreasing 25% in the price of an article costs Rs.1500. Find the actual cost of an article?
Choices:
1300
1200
2000
1500
Answer: C
Question: 850 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Choices:
b) 138
c) 60
d) 17
e) 12
Answer: C
Question: A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,00, did the manufacturer sell in 2007?
Choices:
2,000,000
2,030,000
204,000
2,300,000
Answer: C
Question: With # andeach representing different digits in the problem below, the difference between #and ## is 534. What is the value of?
#
-##
____
534
Choices:
8
9
6
10
Answer: C
Question: How many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
29 sec
24 sec
25 sec
26 sec
Answer: A
Question: A student finds the average of nine positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say pq for qp. Due to this, the average becomes 1 less than the previous one. What was the difference of the two digits p and q?
Choices:
6
1
4
2
Answer: B
Question: If x is 12 percent greater than 70, then x =
Choices:
78.4
88.0
70.4
71.2
Answer: A
Question: 3 years ago, the avg age of a family of 5 individuals was 17. A kid have been born the avg age of family is an exact today? What is the age of the kid?
Choices:
2 years
6 years
4 years
7 years
Answer: A
Question: select the no. which is different from series
13,16,19,22,24,28
Choices:
24
19
13
22
Answer: A
Question: The moon revolves around the earth at a speed of approximately 1.05 kilometers per second. This approximate speed is how many kilometers per hour?
Choices:
61.2
62.5
3,780
3,672
Answer: C
Question: In what time will a train 150 metres long cross an electric pole, if its speed be 122 km/hr?
Choices:
6.42
5.42
4.42
3.42
Answer: C
Question: What is the units digit of the expression 14^7−16^4?
Choices:
3
8
6
4
Answer: B
Question: Find the average of all numbers between 4 and 41 which are divisible by 5
Choices:
22.5
25
30
35
Answer: A
Question: A and B began business with Rs.2000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of B.
Choices:
288
277
455
361
Answer: C
Question: A gambler rolls three fair six-sided dice. What is the probability that two of the dice show the same number, but the third shows a different number?
Choices:
5/36
10/36
15/36
20/36
Answer: C
Question: Six computers, each working at the same constant rate, together can process a certain amount of data in 15 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 5 days?
Choices:
5
6
9
12
Answer: D
Question: In a business, three friends X,Y and Z shared the profit in the ratio 5:7:8. X invested his amount for 14 months, Y for 8 months and Z for 7 months respectively. Find the ratio of their investments?
Choices:
20:49:64
20:49:65
20:50:64
None
Answer: A
Question: In Town X, 90 percent of the population are employed, and 20 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
66%
77%
88%
52%
Answer: B
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
16
18
20
Answer: A
Question: Insert the missing number
3, -9, 27, -81, 243, (....)
Choices:
-739
729
739
-729
Answer: D
Question: A certain mixture of nuts consists of 5 parts almonds to 1 parts walnuts, by weight. What is the number of pounds of almonds in 140 pounds of the mixture ?
Choices:
116
40
28
20
Answer: A
Question: In a can, there is a mixture of milk and water in the ratio 8 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 12 : 5. Find the capacity of the can?
Choices:
18.4
48
50
56
Answer: A
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C
Choices:
Rs. 400
Rs. 500
Rs. 600
None of these
Answer: A
Question: For how many integers n is 1^n+3 = (n+3)^1?
Choices:
None of these
2
3
4
Answer: A
Question: one men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
Choices:
5 days
6 days
7 days
8 days
Answer: A
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Choices:
400
187
278
191
Answer: A
Question: One woman and one man can build a wall together in one hour, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them two hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
Choices:
6/7
10/7
12/7
22/7
Answer: A
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is four times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is quartered by water evaporation. At that time, what is the ratio of water to salt in the solution?
Choices:
8:16
9:16
8 :12
16:9
Answer: B
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Choices:
Rs.132
Rs.108
Rs.109
Rs.131
Answer: A
Question: A = {2,0, 1, -3, 6, -8}
B = {-1, 2, -4, 7,-6,20}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
Choices:
1/3
5/12
4/9
1/2
Answer: B
Question: When a=x+(3/x) and b=x-(3/x), (2^a^2)/(2^b^2)=?
Choices:
4
8
16
4096
Answer: D
Question: A person travels equal distances with speeds of 5 km/hr, 6 km/hr and 7 km/hr and takes a total time of 47 minutes. The total distance is?
Choices:
5 km
7 km
9 km
2 km
Answer: A
Question: The arithmetic mean of set G is zero. If H = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of G consisting of all those elements in G which are more than two but less than three standard deviations away from the arithmetic mean of G, what could be equal to the standard deviation of G?
Choices:
0.77
0.82
0.97
1.62
Answer: A
Question: A girl walking at the rate of 9 Km per hour crosses a square field diagonally in 12 seconds. The area of the field is:
Choices:
425 Sq.m
450 Sq.m
475 Sq.m
350 Sq.m
Answer: B
Question: Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?
Choices:
20
10
18
28
Answer: B
Question: The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.8. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?
Choices:
2/5
3/5
4/5
12/25
Answer: A
Question: Simplify: (i) 12.05*5.4+0.6
Choices:
103.45
108.45
107.45
109.45
Answer: B
Question: How many different ways can 2 students be seated in a row of 6 desks, so that there is always at least one empty desk between the students?
Choices:
3
4
20
12
Answer: C
Question: If a 3-member subcommittee is to be formed from a certain 5-member committee, how many different such subcommittee are possible?
Choices:
10
20
108
216
Answer: A
Question: A train 400 m long passed a pole in 40 sec. How long will it take to pass a platform 600 m long?
Choices:
100 sec
85 sec
16 sec
15 sec
Answer: A
Question: In a certain parking lot, 2% of the cars are towed for parking illegally. However 90% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?
Choices:
12%
16%
18%
20%
Answer: D
Question: A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 34 percent of the total votes?
Choices:
12.5%
15%
17.5%
20%
Answer: C
Question: There is a sequence ni such, in which i is a positive integer, ni+1=2ni.
If n1=1, n2=2, n3=4, n4=8, what is the scope including n51?
Choices:
1,000~10,000
10,000~100,000
100,000~1,000,000
1,000,000,000,000,000~
Answer: D
Question: An outlet pipe can empty 2/3 of a cistern in 16 minutes. In 4 minutes, what part of the cistern will be emptied?
Choices:
1/3
1/4
1/6
1/8
Answer: C
Question: In a friendship gang Andrew has 8 gang, in how many ways can he invite one ormore of the gang to his house?
Choices:
255
260
265
278
Answer: A
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
6
5
2
Answer: A
Question: 4, 6, 12, 14, 28, 30, ?
Choices:
40
no=60
80
100
Answer: B
Question: At present, the ratio between the ages of Arun and Deepak is 4:2. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
10 years
18 years
12 years
19 years
Answer: A
Question: The remainder when A=1+3+3^2+3^3+..........+3^200 is divided 13.
Choices:
7
0
5
3
Answer: B
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 80% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Choices:
36%
66%
80%
84%
Answer: A
Question: If the sum of a number and its square is 132, what is the number?
Choices:
11
28
91
none of these
Answer: A
Question: If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability K that a number picked up in first 90 positive integers will have the result of # as an odd digit ?
Choices:
(b) 4/9
(c) 1/2
(d) 6/10
(e) 5/9
Answer: D
Question: Marcella has 26 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
Choices:
21
19
16
15
Answer: A
Question: Every day Daniel drives 60 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?
Choices:
20%
30%
40%
50%
Answer: A
Question: There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 65% play football, how many play both?
Choices:
150
240
180
160
Answer: B
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6800?
Choices:
s. 5991
s. 6001
s. 6791
s. 7991
Answer: C
Question: Which of the following fractions has a decimal equivalent that is a terminating decimal?
Choices:
15/196
16/225
25/144
39/128
Answer: D
Question: Sophia finished 2/3 of a book. She calculated that she finished 30 more pages than she has yet to read. How long is her book?
Choices:
A)90
C)130
D)190
E)210
Answer: A
Question: A train 510 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
52
26
21
14
Answer: A
Question: What is the next number of the following sequence
12, 36, 80, 150,.... ?
Choices:
252
272
282
292
Answer: A
Question: What is the sum of the greatest common factor and the lowest common multiple of 36 and 56?
Choices:
508
451
516
451
Answer: A
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
Choices:
40
120
200
130
Answer: A
Question: Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7
meter 65 cm
Choices:
45cm
244cm
55cm
None of these
Answer: A
Question: The average of 2,7,6 and x is 5 and the average of 18,1,6,x and y is 10. What is the value of y?
Choices:
20
15
25
30
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of the youngest child ?
Choices:
8
10
None of these
Cannot be determined
Answer: B
Question: A can do work in 9 days, B can do work in 18 days. In how many days they will complete the work together.
Choices:
7 days
6 days
5 days
4 days
Answer: B
Question: The largest five digit number which is a perfect cube, is:
Choices:
91125
97336
96806
99999
Answer: B
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
156 meter
168 meter
154 meter
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11% per annum then the gain of B in a period of 3 years is?
Choices:
106
105
107
109
Answer: B
Question: In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (12, 0), (0, -3.5), (-12, 0)?
Choices:
84
112
116
120
Answer: A
Question: In an election, candidate Smith won 52% of the total vote in Counties A and D. He won 61% of the vote in County A. If the ratio of people who voted in County A to County D is 3:1, what percent of the vote did candidate Smith win in County D ?
Choices:
A.25%
C.34%
D.43%
E.49%
Answer: A
Question: Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?
Choices:
6 min
9 min
8 min
12 min
Answer: C
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Choices:
14 years
24 years
33 years
38 years
Answer: A
Question: How many seconds will a 700 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 sec
27 sec
36 sec
42 sec
Answer: D
Question: A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 212 customers. How many more new tables than original tables does the restaurant have?
Choices:
12
20
24
28
Answer: A
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190 Sec
178 Sec
267 Sec
276 Sec
Answer: A
Question: One filter decreases the concentration of harmful substances in water by half. If water that contains less than 0.1 percent of harmful substances is considered clean, how many filters are required to clean 200 liters of water containing 0.5 liters of harmful substances ?
Choices:
2
5
6
8
Answer: A
Question: The function f is defined for all positive integers m by the following rule. f(m) is the number of positive integers each of which is less than m and has no positive factor in common with m other than 1. If p is any prime, number then f(p)=
Choices:
p-1
(p+1)/2
(p-1)/2
2
Answer: A
Question: If X is 30% greater than Y, Z is 25% smaller than how much percent is X greater than Z?
Choices:
73 1/3%
73%
74%
None of these
Answer: A
Question: What is the smallest integer w greater than 1 that leaves a remainder of 1 when divided by any of the integers 6, 8, and 10?
Choices:
41
w=121
241
481
Answer: B
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
17 1/7
17 1/8
17 1/1
17 1/2
Answer: A
Question: If 0 < x < 7 and 0 < y < 9, then the lowest possible value for xy is
Choices:
between 0 and 60
0
between 0 and -70
less than -70
Answer: A
Question: A taxi company charges $1.15 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?
Choices:
4 1/4 miles
4 3/4 miles
5 1/2 miles
6 1/2 miles
Answer: D
Question: A certain essay consists of 15 paragraphs. Each paragraph contains at least 130 words but not more than 140 words. Which of the following could be the total number of words in the essay?
Choices:
1540
1640
1740
2050
Answer: D
Question: A school has received 60% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
Choices:
$177.78
$100
$277.78
$377.78
Answer: A
Question: At what time between 4 and 5 o'clock the hands are in opposite direction?
Choices:
3 2/11 minutes past 4 o'clock
3 5/11 minutes past 4 o'clock
10 10/11 minutes past 4 o'clock
12 10/11 minutes past 4 o'clock
Answer: D
Question: A certain game pays players in tokens, each of which is worth either m points or n points, where m and n are different positive integers whose greatest common factor is 1. In terms of m and n, what is the greatest possible sum, in points, that can be paid out with only one unique combination of these tokens? (For example, if m = 2 and n = 3, then a sum of 5 points can be created using only one combination, m + n, which is a unique combination. By contrast, a sum of 11 points can be created by 4m + n or by m + 3n. This solution does not represent a unique combination; two combinations are possible.)
Choices:
2mn – m – n
2mn – m – n – 1
mn + m + n – 1
mn – m – n
Answer: A
Question: In how many different number of ways 5 men and 4 women can sit on a shopa which can accommodate persons?
Choices:
3024
2058
3020
4200
Answer: A
Question: Among the members of the Malmo family, there are three times as many members who do not wear glasses as members who do. Half of the Malmo family members have blue eyes, and 4/5 of the family members who have blue eyes do not wear glasses. What percent of the Malmo family members wear glasses and do not have blue eyes?
Choices:
15
20
25
35
Answer: A
Question: A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?
Choices:
2000
3000
4000
5000
Answer: D
Question: A fish tank contains orange fish and silver fish. After k more orange fish and 2k more silver fish are added, the probability of choosing an orange fish at random is 1313 . What was the probability of choosing a silver fish before any more fish were added?
Choices:
1/3
1/2
2/3
3/4
Answer: C
Question: A can do 1/4th part of the work in 10 days, B can do 40% of the work in 40 days and C can do 1/3rd of the work in 13 days. Who will complete the work first?
Choices:
B
C
A and C both
None of these
Answer: B
Question: Find the length of the wire required to go 15 times round a square field containing 69696 m^2.
Choices:
2489
6398
15840
2487
Answer: C
Question: Roses can be purchased individually for $5.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680?
Choices:
162
317
324
325
Answer: B
Question: If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $65. If $2,000 is the total amount invested, how much is invested at 8 percent?
Choices:
$650
$750
$850
$950
Answer: B
Question: 62 small identical cubes are used to form a large cube. How many more cubes are needed to add one top layer of small cube all over the surface of the large cube ?
Choices:
128
152
154
256
Answer: C
Question: If a book is sold at 9% profit instead of 9% loss, it would have brought Rs 9 more. Find out the cost price of the book
Choices:
72
50
70
80
Answer: B
Question: Divide $600 among C,D in the ratio 9:6. How many $ that D get?
Choices:
$40
$36
$32
$28
Answer: A
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Choices:
30
40
45
50
Answer: A
Question: Set A consists of all the prime numbers between 10 and 25. What is the range of set A?
Choices:
12
16.6
17
23
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
s.4518
s.4518
s.4530
s.5436
Answer: D
Question: In a race of 300 m A beats B by 15 m and C by 9 m. In a race of 450 m C will beat B by
Choices:
429 m
441 m
439 m
449 m
Answer: B
Question: The average of 10numbers is 60. Out of 10numbers the average of first 6no. is 68, and last 6numbers is 75 then find 7th number?
Choices:
B)65
C)258
D)62
E)48
Answer: B
Question: A painter intends to mixed two jars of paint to create a new color. He chooses one paint jar randomly from a display containing 2 red and 2 blue samples, and a second jar is chosen at random from a different display containing 4 red and 2 blue samples. If he plans on mixing the two chosen jars together, what is the probability that when mixed together, the result will be purple paint? (The color purple is created with 1 part red and 1 part blue.)
Choices:
1/2
2/3
4/5
6/5
Answer: C
Question: A ship 450 m long is running at a speed of 24 km/hr. In what time will it pass a bridge 900 m long?
Choices:
202.5sec
200 sec
1350 sec
900sec
Answer: A
Question: At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.5 minutes per mile and then turn around and drive at 0.5 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?
Choices:
b) 11
c) 12
d) 13
e) 25
Answer: D
Question: which one is odd?
4377
3954
9860
8454
9831
Choices:
3954
9860
8454
None
Answer: B
Question: Evaluate 2.5 / .0005
Choices:
5000
50000
50
0.5
Answer: A
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
Choices:
n/3
3n/5
5n/6
8n/5
Answer: B
Question: A certain city with a population of 192,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
Choices:
b) 16,000
c) 10,900
d) 11,000
e) 11,100
Answer: A
Question: A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1116 in total compensation, how many total hours did he work that week?
Choices:
57
44
48
52
Answer: A
Question: A dog chases a cat 3 hours after the cat runs. dog takes 6 hours to reach the cat. If the average speed of the dog is 72 kmph, what s the average speed of the cat?
Choices:
48kmph
46kmph
38kmph
37kmph
Answer: A
Question: In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water in ( km/hr) is
Choices:
5
8
9
7
Answer: B
Question: The H.C.F. of two numbers is 25 and the other two factors of their L.C.M. are 14 and 16. The larger of the two numbers is
Choices:
299
312
400
None
Answer: C
Question: If (2 to the x) - (2 to the (x-2)) = 3 (2 to the 12), what is the value of x?
Choices:
11
13
15
14
Answer: D
Question: Evaluate:57- 12*3*2 =?
Choices:
49
62
72
82
Answer: A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 6 units?
Choices:
84
88
72
12
Answer: A
Question: In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 70% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that a beginner Trigonometry student is selected?
Choices:
44%
48%
52%
56%
Answer: C
Question: The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 11 years, son's age will be:
Choices:
14 years
18 years
20 years
25 years
Answer: D
Question: In how many ways 5 Indians and 2 Englishmen can be seated in a row so that they are alternate?
Choices:
240
144
202
256
Answer: A
Question: f a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Choices:
50 km
10 km
25 km
30 km
Answer: A
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 50 days. If both of them work together, then the number of days required to complete the work is?
Choices:
10 days
12 days
50/6 days
16 days
Answer: C
Question: 9 partners bought a restaurant for 1 million dollars. If they want to pay the same amount and none of them have bills smaller than $1, how much money would they have to pay?
Choices:
$2,000,003
$2,000,005
$2,000,006
$2,000,008
Answer: D
Question: If x is less than y by 40% then y exceed x by:
Choices:
25%
75%
66.66%
None of these
Answer: C
Question: A triangle has sides 10, 17, and 21. A square is inscribed in the triangle. One side of the square lies on the longest side of the triangle. The other two vertices of the square touch the two shorter sides of the triangle. What is the length of the side of the square?
Choices:
168/29
168/26
158/29
198/29
Answer: A
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
11
40
21
23
Answer: B
Question: When E is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when E + y is divided by 5?
Choices:
1
2
3
4
Answer: B
Question: David spends $350 buying his favorite dolls. If he buys only small LemonHead dolls, which are $2 cheaper than the large LemonHead dolls, he could buy 20 more dolls than if he were to buy only large LemonHead dolls. How much does a large LemonHead doll cost?
Choices:
$7
$6
$8
$9
Answer: A
Question: There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability Z that all three secretary are assigned at least one report?
Choices:
64/81
4/9
16/81
5/9
Answer: B
Question: A certain hospital has a policy that for every 50 patients there should be 2 doctors. If the number of patients visiting the hospital every day is 400, how many doctors are there in the hospital?
Choices:
16
5
14
11
Answer: A
Question: There are two cars. One is 160 miles north of the other. Simultaneously, the car to the north is driven westward at 10 miles per hour and the other car is driven eastward at 30 miles per hour. How many miles apart are the cars after 3 hours?
Choices:
200
220
240
250
Answer: A
Question: In Town X, 64 percent of the population are employed, and 45 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
45%
32%
40%
28%
Answer: D
Question: Tom can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots & Ashwini can hit 4 times in 4shots. What is the probability that at least 2 shots hit the target ?
Choices:
2/5
2/3
3/7
3/11
Answer: B
Question: A car manufacturer produces only red and blue models which come out of the final testing area at random. What is the probability that five consecutive cars of same color will come through the test area at any one time?
Choices:
1 in 16
1 in 32
1 in 25
1 in 15
Answer: A
Question: A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is?
Choices:
1/31
1/108
1/113
2/213
Answer: B
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
Choices:
50
100
25
52
Answer: A
Question: Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Choices:
Rs.16,537.52
Rs.16,537.50
Rs.16,537.22
Rs.16,537.21
Answer: B
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.50 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
170
190
200
210
Answer: A
Question: Diana is going on a school trip along with her two brothers, Bruce and Clerk. The students are to be randomly assigned into 3 groups, with each group leaving at a different time. What is the probability that DIana leaves at the same time as AT LEAST on her bothers?
Choices:
4/27
5/27
4/9
5/9
Answer: D
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 13,000?
Choices:
1,950,000,000
850,000
7,500,000
750,000,000
Answer: A
Question: An auto supply store sells steering wheel covers arranged on display such that each of two different colors of steering wheel covers, blue, and purple are consecutive in a repeating pattern. If three consecutively displayed steering wheel covers are purchased, what is the probability that two of the steering wheel covers are purple?
Choices:
2/5
1/4
2/3
1/2
Answer: D
Question: There are between 300 and 310 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Choices:
303
306
307
309
Answer: D
Question: A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 16%?
Choices:
17.40 per kg
16.5 per kg
16 per kg
None of these
Answer: A
Question: When q is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when q + y is divided by 5?
Choices:
1
2
3
4
Answer: B
Question: Find the cost of fencing around a circular field of diameter 35 m at the rate of Rs.1.50 a meter?
Choices:
132
156
115.5
267
Answer: C
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 24. What is the total number of students in the school?
Choices:
50
120
150
100
Answer: A
Question: .A man has Rs. 312 in the denominations of one-rupee notes, five-rupee notes and twenty-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
36
28
32
30
Answer: A
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 20 years now, the son's age five years back was:
Choices:
14 years
5 years
38 years
7 years
Answer: B
Question: A Sum of Rs.2600, is lent out in 2 parts SI at 10% for 5yrs is equal to SI on 2nd part at 9% rate for 6 yrs. find the ratio of parts.
Choices:
27:25
21:23
31:25
33:22
Answer: A
Question: When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Choices:
349
369
359
Data inadequate
Answer: A
Question: On a wedding catering service, An experienced chef can prepare a service for a wedding in 5 hours while an novice chef would finish the preparations in 9 hours.
If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?
Choices:
3
4
6
8
Answer: B
Question: After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 5200 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?
Choices:
2350
2000
2300
None of these
Answer: C
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1
12.0
12.2
12.4
Answer: A
Question: A lady bought five books namely A,B,C,D,E to distribute her 7 friends. How many ways she can distribute books?
Choices:
7^4
7^5
7^6
7^2
Answer: B
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is five times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?
Choices:
2:3
3:2
9:4
45:8
Answer: D
Question: What is the ratio between perimeters of two squares one having 4 times the diagonal then the other?
Choices:
3: 6
3: 7
4: 1
3: 3
Answer: C
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 41 degrees. Find the temperature on Friday?
Choices:
73 degrees
37 degrees
34 degrees
33 degrees
Answer: D
Question: In how many ways can 5 man draw water from 5 taps if no tap can be used more than once?
Choices:
720
60
120
None of these
Answer: C
Question: Which number is the odd one out?
Choices:
47632
84129
67626
72927
Answer: A
Question: Find the area of trapezium whose parallel sides are 10 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
785 cm2
285 cm2
785 cm2
210 cm2
Answer: D
Question: The salaries 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 new ratio of their salaries?
Choices:
23:33:60
3:4:5
10:20:11
23:30:65
Answer: A
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Choices:
5/9
3/4
5/7
5/2
Answer: B
Question: The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 602 to 700 inclusive?
Choices:
28,550
32,550
36,550
40,550
Answer: B
Question: If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor G of 2x and 3y?
Choices:
G=Cannot be determined
G=2
5
6
Answer: A
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 95. Find the number of students who wrote the exam.
Choices:
45
35
25
55
Answer: C
Question: How many of the positive factors of 10 , 16 and how many common factors are there in numbers?
Choices:
2
3
4
5
Answer: B
Question: Which among the following is the greatest?
Choices:
2^2^3
3^2^3
3^3^3
5^3^3
Answer: C
Question: A and B invests Rs.3000 and Rs.6000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
3:4
9:9
9:5
9:1
Answer: A
Question: The difference between a two digit number and the number obtained by interchanging the digits is 72. What is the difference between the digits of the number?
Choices:
5
6
8
9
Answer: C
Question: Two dogsled teams raced across a 600-mile course in Alaska. Team A finished the course in 6 fewer hours than team B. If team A’s average speed was 5 miles per hour greater than that of team B, what was team B’s average speed, in miles per hour?
Choices:
15
18
20
25
Answer: C
Question: An investor invests in a new fund. The fund averages 10% growth annually for the first three years, but it loses 25% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?
Choices:
99.825%
95.125%
93.675%
91.175%
Answer: A
Question: How many factors of 60 are odd numbers greater than 1?
Choices:
4
5
3
7
Answer: C
Question: In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Choices:
61 ways
71 ways
31 ways
30 ways
Answer: D
Question: The length of a rectangular plot is 10 meters more than its width. If the cost of fencing the plot at $15.50 per meter is $868, what is the length of the plot in meters?
Choices:
19
21
23
25
Answer: A
Question: In a class of 38 children,19 play tennis, 21 play squash and 10 play neither sport. (1)how many children play both sports?
Choices:
12
14
15
19
Answer: A