antoine-444/aqua_rat_dataset huggingface dataset:
Question: In an examination, a student scores 3 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 120 questions and secures 180 marks, the number of questions he attempts correctly, is:
Choices:
90
80
75
70
Answer: C
Question: The average of five numbers is 45. If one number is excluded, the average becomes 38. The excluded number is?
Choices:
73
58
35
96
Answer: A
Question: Average of 11 results is 59. If the average of first five results is 55 and average of last five results is 60 Then find the sixth result?
Choices:
85
86
74
69
Answer: C
Question: 1/2 divived by 1/2 of 1/2 whole divided by 1/2 +1/2 of 1/2
Choices:
4
5
6
7
Answer: A
Question: If S is the sum of reciprocals of a list of consecutive integers from 44 to 55, inclusive, S is approximately equal to
Choices:
0.2
0.3
0.4
0.5
Answer: A
Question: Calculate the total gain or loss of a shop owner who sold two items for Rs. 1200 each, if he made a profit of 15% from the first item and a loss of 15% from the second item.
Choices:
14.5
2.25
5.5
2.5
Answer: B
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.900, what is the reduced price for kg?
Choices:
s.46
s.49
s.45
s.42
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 sec
13.9 sec
43.9 sec
37.9 sec
Answer: A
Question: An investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value?
Choices:
4
6
9
12
Answer: A
Question: Average of first five multiples of 8 is
Choices:
11
24
15
16
Answer: B
Question: Three balls of different colors are to be placed in three different boxes such that any box contains at least 1 ball . What is the maximum number of different ways in which this can be done?
Choices:
60
120
150
180
Answer: A
Question: An anti- aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2 and 0.1 respectively.
What is the probability that the plane is hit when all the four shots are fired?
Choices:
0.4379
0.6976
0.1274
None of these
Answer: B
Question: A company recently conducted a survey and found that 30,000 of its customers live in rural areas. If the number of customers who live in urban areas is 130 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?
Choices:
67,000
69,000
71,000
73,000
Answer: B
Question: At the opening of a trading day at a certain stock exchange, the price per share of stock K was $6. If the price per share of stock K was $8 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
Choices:
5.9%
11.1%
12.5%
33.33%
Answer: D
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
Choices:
3
5
81
6
Answer: C
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68% of the distribution lies one standard deviation h of the mean, what percent of the distribution is less than m+h?
Choices:
32%
48%
84%
92%
Answer: C
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
Choices:
23 years
33 years
35 years
45 years
Answer: A
Question: The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
Choices:
9 : 23
9 : 24
9 : 25
9 : 21
Answer: B
Question: A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/8 of th area of the garden. What is the radius of the circular garden?
Choices:
2
4
8
16
Answer: D
Question: 107 x 107 + 93 x 93 =?
Choices:
19418
20098
21908
None of them
Answer: B
Question: What quantity of water should taken out to concentrate 18 liters of 40% acidic liquid to 60% acidic liquid?
Choices:
10liters
15liters
8liters
6liters
Answer: D
Question: To furnish a room in a model home an interior decorator is to select 3 chairs and 3 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 6 chairs in the warehouse and if 80 different combinations are possible, how many tables are there in the warehouse?
Choices:
A)4
C)10
D)15
E)30
Answer: A
Question: A and B began business with Rs.6000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
Choices:
288
277
357
361
Answer: C
Question: If x and y are non-zero integers, and 25x^4 – 4y^4 = 5x^2 + 2y^2, which of the following could be the value of x2 in terms of y?
Choices:
2y^2/5
2y^2
2y^2+1/5
2y
Answer: C
Question: If four coins are tossed, the probability of getting two heads and two tails is?
Choices:
3/8
3/9
3/3
3/1
Answer: A
Question: A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 45 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
Choices:
45
50
55
60
Answer: D
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5
2.4
2.1
2.6
Answer: A
Question: x and y are positive integers. If xy + x is even, then which of the following must be even?
Choices:
y
x + y
y+1
x^2 − y
Answer: C
Question: A certain club has 8 members, including Harry. One of the 8 members is to be chosen at random to be the president, one of the remaining 7 members is to be chosen at random to be the secretary, and one of the remaining 6 members is to be chosen at random to be the treasurer. What is the probability that Harry will either be the secretary or the member chosen to be the treasurer?
Choices:
1/4
3/4
1
5/4
Answer: A
Question: The grade point average of one third of the classroom is 45; the grade point average of the rest is 60. What is the grade point average of the whole class?
Choices:
55
60
65
70
Answer: A
Question: Pipe A and pipe B fill water into a tank of capacity 5000 litres, at a rate of 200 l/min and 50 l/min. Pipe C drains at a rate of 25 l/min. Pipe A is open for 1 min and closed, then pipe B is open for 2 min and closed. Further the pipe c is opened and drained for another 2 min. This process is repeated until the tank is filled. How long will it take to fill the tank?
Choices:
100
140
80
90
Answer: A
Question: The ratio between the present age of P and Q is 6:7. If Q is 4 years old than P,What will be the ratio of the ages of P and Q after 4 years?
Choices:
8:7
8:6
6:7
6:8
Answer: A
Question: Of the 250 employees at company X, 80 are full-time, and 175 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Choices:
25
50
80
100
Answer: A
Question: There are 3 red shoes & 7 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Choices:
1/14
1/12
1/15
1/16
Answer: C
Question: A car was driving at 80 Km/h for 40 minutes, and then at 60 Km/h for another 40 minutes. What was its average speed?
Choices:
113.33.
93.33
83.33
73.33
Answer: A
Question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
88
16
83
82
Answer: B
Question: How many total number of ways in which c distinct objects can be put into two different boxes is
Choices:
2c
2n
3n
None of these
Answer: A
Question: In a party every person shakes hands with every other person. If there were a total of 153 handshakes in the party then what is the number of persons present in the party ?
Choices:
16
17
18
19
Answer: C
Question: Find the value of X: 3x^2-6x+3 = 0
Choices:
1
2
3
4
Answer: A
Question: In an election between two candidates first candidate got 50% of votes polled and second Candidate got 2800 votes. The total number of votes polled was?
Choices:
5600 votes
5900 votes
5980 votes
5990 votes
Answer: A
Question: What is the units digit of the expression 14^7−20^4?
Choices:
8
4
6
0
Answer: A
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 22% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Choices:
12.8%
15%
22%
30%
Answer: A
Question: A man purchases 2 watches for $ 540. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Choices:
$216 and $ 324
$224 and $336
$560 and $560
$224 and $ 350
Answer: A
Question: A box contains four gold coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.
Choices:
3/5
4/5
1/5
3/4
Answer: B
Question: The lowest number which should be added to 1277 so that the sum is exactly divisible by 3, 2, 5, 4 and 7 is:
Choices:
403
203
453
203
Answer: A
Question: A 10 kg dry mixture is composed of 40 % sugar and rest salt. How much sugar (in kg) must be added to this mixture so that salt and sugar are in same proportion?
Choices:
2
5
7
8
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
Rs.3944
Rs.3928
Rs.3929
Rs.3289
Answer: A
Question: A physics class has 25 students, two of whom are Alex and Justin. Three students are chosen
uniformly at random for a lab demonstration. What is the probability that at least one of Alex
and Justin is chosen?
Choices:
0.25
0.19
0.23
0.2
Answer: C
Question: On a game show, a contestant is given three keys, each of which opens exactly one of three identical boxes. The first box contains $3, the second $300, and the third $3000. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. Mention the probability that a contestant will win more than $3000?
Choices:
1/6
1/7
1/3
1/2
Answer: A
Question: In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choices:
5/16
11/12
11/16
23/48
Answer: D
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
8 hours
3 hours
9 hours
1 hours
Answer: B
Question: A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 5 hours longer than the first half, how many hours did it take the runner to run the second half?
Choices:
9
10
11
12
Answer: B
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Choices:
42
48
49
53
Answer: A
Question: If 7687 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?
Choices:
1 book
28 books
0 books
8 books
Answer: A
Question: What will the ratio of simple interest earned by certain amount at the same rate of interest for 4 years and that for 12 years.
Choices:
2:5
1:3
2:3
None of these
Answer: B
Question: A, B and C start swimming in a pool simultaneously from the same end. To complete 10 laps, A takes 10 minutes, B takes 8 minutes and C takes 4 minutes. What is the ratio of speeds A:B:C?
Choices:
12:15:20
5:4:3
4:5:10
12:15:25
Answer: C
Question: When n is divided by 15, the remainder is 6. When n is divided by 12, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?
Choices:
14
15
16
17
Answer: B
Question: During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 15 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
Choices:
100%
116.7%
120%
160%
Answer: D
Question: The population of a town is 176400. If it increase at the rate of 5% per annum. What will be its population for 2years hence?
Choices:
215600
194582
194481
215460
Answer: C
Question: In what ratio should water and wine be mixed so that after selling the mixture at the cost price a profit of 33.33% is made?
Choices:
1:3
1:9
1:6
1:5
Answer: A
Question: The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits T of the larger integer?
Choices:
T=2
T=8
10
11
Answer: A
Question: On dividing a number by 7, we get 3 as quotient and 0 as remainder. On dividing the same number by 3, what will be the remainder?
Choices:
2
3
0
4
Answer: C
Question: Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:
Choices:
200 m
273 m
300 m
None of these
Answer: B
Question: If 12 men and 16 boys can do a piece of work in 7 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.
Choices:
1:2
1:3
2:1
4:1
Answer: A
Question: What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true?
Choices:
-3/2
-1/2
1/4
1/2
Answer: A
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 36 more than n. What is y in terms of x ?
Choices:
x-4
x+4
x-3
x-1
Answer: B
Question: How many odd numbers between 10 and 900 are the squares of integers?
Choices:
13
14
15
16
Answer: A
Question: Assuming i have an infinite supply of coins.
What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins.
Choices:
6
4
2
8
Answer: B
Question: For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.
Choices:
36
33
27
29
Answer: C
Question: The true discount on a bill of Rs.8640 is Rs.1440.The banker's discount is
Choices:
1528
1628
1728
None of these
Answer: C
Question: How many possible different bus routes are available in a metro city ? Suppose the bus route numbers consist of a natural number less than 100, followed by one of the letters U,V,W,X,Y and Z.
Choices:
550
564
594
None of these
Answer: C
Question: A store sells chairs and tables. If the price of 2 chairs and 1 table is 60% of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $64, what is the price, in dollars, of 1 table? (Assume that every chair has the same price and every table has the same price.)
Choices:
52
54
58
56
Answer: D
Question: Two pipe A and B fill a tank in 6 hours and 8 hours respectively.and C empty that tank in 12 hour.if all three pipe open together in empty tank then how much time it take to fill the tank?
Choices:
23/2
24/5
18
16
Answer: B
Question: In a certain corporation, there are 300 male employees and 150 female employees. It is known that 30% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Choices:
3/5
3/10
8/15
11/30
Answer: C
Question: If the average of ten numbers is 60, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 10
III. 60
Choices:
II
III
I&II
all three options
Answer: D
Question: Car T and Car Y traveled the same 80-mile route. If Car T took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car T, how many hours did it take Car Y to travel the route?
Choices:
1
4/3
8/5
3
Answer: B
Question: If a4 +(1/a4)=119 then a power 3-(1/a3)
Choices:
36
27
18
19
Answer: A
Question: What is the greatest prime factor of 4^17 - 2^29?
Choices:
3
5
7
31
Answer: D
Question: The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is?
Choices:
35
40
52
16
Answer: A
Question: In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 5 Ohms and y is 6 Ohms?
Choices:
11/30
11/15
30/11
15/11
Answer: C
Question: probability Like between 100 and 999 how many no have the probability that they does not contain 7 ?
Choices:
648/900
649/900
658/900
642/900
Answer: A
Question: What is the average (arithmetic mean) of all multiples of 10 from 10 to 200 inclusive?
Choices:
105
200
205
210
Answer: A
Question: 10 business executives and 3 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Choices:
131
115
90
75
Answer: D
Question: The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
Choices:
51.6
51.4
51.1
51.1
Answer: B
Question: A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 40 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany?
Choices:
20
30
40
50
Answer: D
Question: A certain school principal must choose 5 students to attend a field trip out of a group of 11 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?
Choices:
2,520
9,240
6,020
10,080
Answer: B
Question: How much water should be added to 12 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Choices:
28 liters
30 liters
32 liters
35 liters
Answer: A
Question: In the rectangular coordinate system, points (4, 0) and (– 4, 0) both lie on circle C. What is the maximum possible value of the radius of C
Choices:
4
8
16
None of the above
Answer: A
Question: If n is the smallest integer such that 54 times n is the square of an integer, what is the value of n?
Choices:
1
6
12
24
Answer: A
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
170
190
210
230
Answer: C
Question: If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
Choices:
50000
27798
27799
27601
Answer: A
Question: A publishing company advertisd the job opening.The response was good. One hundred people applied for the post. The company wanted someone expert in both physics and chemistry. Out of which 10 did not had any specalization.70 of them had got physics training and 82 got training in chemistry.how many applicants had got training in both
physics and chemistry?
Choices:
61
62
63
64
Answer: B
Question: 20 litres of a mixture contains milk and water in the ratio 3:1. How much milk must be added to this mixture to have a mixture containing milk and water in the ratio 4 :1 ?
Choices:
5
6
7
8
Answer: A
Question: The present population of a town is 260. Population increase rate is 10% p.a. Find the population of town after 1 years?
Choices:
120
200
226
286
Answer: D
Question: A man can row downstream at 24 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
7, 4
8, 7
4, 7
17, 7
Answer: D
Question: A cube of side 4 meter length is cut into small cubes of side 25 cm each. How many such small cubes can be obtained?
Choices:
6048
1000
4096
4060
Answer: C
Question: The mass of 1 cubic meter of a substance is 300 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choices:
3.33
3.53
5.32
3.92
Answer: A
Question: A train running at the speed of 90 km/hr crosses a pole in 6 seconds. Find the length of the train.
Choices:
150 meter
105 meter
120 meter
130 meter
Answer: A
Question: The bacteria have the probability of split into 3 and probability to die is 1/3rd of the total bacteria. Let the probability is P. Some of them survived with probability 1/5.Then which among the following relation is true?
Choices:
P=1/3+1/5*3
P=1/3+1/5*2
P=1/8*(1/8-3)
P=1/5*(1/4-3)
Answer: A
Question: What is the sum of all possible solutions to |x - 3|^2 + |x - 3| = 20 ?
Choices:
6
7
12
14
Answer: A
Question: A fair coin is tossed 4 times. What is the probability of getting at least 2 tails?
Choices:
1/2
3/16
11/16
3/8
Answer: C
Question: A train running at the speed of 80 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
200 m
208 m
988 m
299 m
Answer: A
Question: A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.30 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?
Choices:
4.20x
1.40x
1.60x
3.20x
Answer: A
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 7 years hence?
Choices:
77
74
98
71
Answer: B
Question: A certain sum of money at simple interest amounted Rs.890 in 10 years at 3% per annum, find the sum?
Choices:
682.61
683.61
684.61
685.61
Answer: C
Question: 1,000^2 + 1,001^2 =
Choices:
6,002,001
6,030,055
6,030,056
6,030,057
Answer: A
Question: A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
Choices:
2100
2200
2300
2400
Answer: A
Question: In the Biotechnology class of 2000, there were E graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is E equal to?
Choices:
71.
73.
75.
76.
Answer: B
Question: One pipe can fill a tank four times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
Choices:
180 min
126 min
114 min
124 min
Answer: A
Question: The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
Choices:
500 km
360 km
550 km
600 km
Answer: B
Question: Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is :
Choices:
1 hr 10 min
1 hr 11 min
1 hr 12 min
none
Answer: C
Question: How many even three-digit integers greater than 700 are there such that all their digits are different?
Choices:
72
80
112
120
Answer: C
Question: The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?
Choices:
33 1/3%
83 1/3%
36 1/3%
33 1/7%
Answer: A
Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choices:
200
279
992
208
Answer: C
Question: P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?
Choices:
16 days
13 days
15 days
19 days
Answer: A
Question: If the price of a certain bond on May 1st was 3/4 the price of the bond on June 1st and the price of the bond on July 1st was 25% greater than the price of the bond on May 1st. then the price of the bond on June 1st st was what percent of the average (arithmetic mean) price of the bond on May 1st and July 1st?
Choices:
75%
118.5%
133 1/3%
150%
Answer: B
Question: What should come in place of the question mark (?) in the following equation?
17 2⁄3 of 180 + 1⁄4 of 480 = ?
Choices:
3420
3200
3300
None of these
Answer: C
Question: Present ages of Kiran and Shyam are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Shyam's present age in years?
Choices:
18
24
32
43
Answer: B
Question: Four persons can cross a bridge in 3,7,13,17 minutes.Only two can cross at a time.Find the minimum time taken by the four to cross the bridge ?
Choices:
20 minutes.
30 minutes.
40 minutes.
60 minutes.
Answer: A
Question: 16.02 Ã— 0.01 = ?
Choices:
0.1602
1.6021
0.01602
None of these
Answer: A
Question: A man can row his boat with the stream at 25 km/h and against the stream in 13 km/h. The man's rate is?
Choices:
2 kmph
6 kmph
8 kmph
3 kmph
Answer: B
Question: The average of a batsman for 40 innings is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, his average drops by 2 runs. Find his highest score.
Choices:
173
174
175
None of the above
Answer: B
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 8 km each. Then they turned left and ran for another 6 km.
What is the distance (in kilometers) between the the two twins when they stop?
Choices:
20
22
24
26
Answer: A
Question: A bag marked at Rs. 80 is sold for Rs. 68. The rate of discount is
Choices:
15%
20%
22%
None
Answer: A
Question: A woman introduces a man as the son of the brother of her mother. How is the man, related to the woman ?
Choices:
Son
Cousin
Uncle to Grandson
Uncle
Answer: B
Question: 3 candidates in an election and received 6136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?
Choices:
46%
57%
59%
61%
Answer: A
Question: An empty fuel tank with a capacity of 204 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
Choices:
150
100
66
50
Answer: C
Question: X can do 1/4 of a work in 10 days, Y can do 40% of work in 40 days and Z can do 1/3 of work in 13 days. Who will complete the work first?
Choices:
Y
Z
N
V
Answer: B
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
Choices:
8
6
5
4
Answer: A
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
Choices:
1134
1349
1430
1490
Answer: B
Question: In a particular 100 meter race, 8 athletes are participating that are numbered 1-8. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?
Choices:
16,580
18,920
20,160
24,320
Answer: C
Question: The chance of rain on any given day in Tel-Aviv is 50%. What is the probability that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
A.
B.
C.
D.
E.
Choices:
15/64
1/2
1/4
52/64
Answer: A
Question: The profit earned by selling an article for 892 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
Choices:
1005
1,200
920
None of these
Answer: A
Question: For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers E are there between 6* + 2 and 6* + 6, inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: Seven people enter a race. There are 4 types of medals. Winner - platinum, runner up - gold, next two racers - silver and the last 3 - bronze. Ways to do it?
Choices:
7!/2!3!
1*1*2!*3!
7*6*2!*3!
7*6*5*4
Answer: A
Question: A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 60% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?
Choices:
7:15
7:8
7:4
7:2
Answer: A
Question: The ratio between the number of sheep and the number of horses at the Stewart farm is 2 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
Choices:
16
32
56
60
Answer: A
Question: In a group of 90 people, 55 have visited Iceland and 33 have visited Norway. If 51 people have visited both Iceland and Norway, how many people have visited neither country?
Choices:
51
52
53
54
Answer: C
Question: What is the smallest positive integer x such that 280-x is the cube of a positive integer
Choices:
64
62
60
12
Answer: A
Question: If a farmer sells 15 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 10 more chickens, he will run out of feed 6 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
Choices:
50
40
30
60
Answer: C
Question: If p + | p | = 0, which of the following must be true?
Choices:
p≥0
p < 0
p≤0
p = 0
Answer: C
Question: A positive whole number has factors of 5 and 10. The number MUST be divisible by:
I. 10
II. 30
III. 60
Choices:
II
I & II
III
I & III
Answer: C
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,25,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
60000
50000
75000
90000
Answer: B
Question: Of 70 players on a football team, 31 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
57
63
71
92
Answer: A
Question: There are 2 vessels A & B containing 25 liters each of pure milk and pure water respectively. 5 liters of milk from A is taken and poured into B , then 6 liters of mixture from B is taken and poured in A. What is ratio of water A and B respectively.
Choices:
1:4
1:5
1:6
1:7
Answer: A
Question: A certain number of men can finish a piece of work in 10 days. However, if there were 10 less men it will take 10 days more for the work to be finished. How many men were there originally?
Choices:
30 men
40 men
20 men
none of these
Answer: C
Question: A letter lock consists of two rings each marked with four different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
Choices:
19
15
168
167
Answer: B
Question: how many prime no. are there from 0 to 50?
Choices:
15
16
17
19
Answer: A
Question: Boston is 4 hr ahead of Frankfurt and 2 hr behind India. X leaves Frankfurt at 6 p.m. on Friday and reaches Boston the next day. After waiting there for 2 hr, he leaves exactly at noon and reaches India at 1 a.m. On his return journey, he takes the same route as before, but halts at Boston for 1hr less than his previous halt there. He then proceeds to Frankfurt.
What is X's average speed for the entire journey (to and fro)?
Choices:
180 mph
165 mph
Data insufficient
None of these
Answer: A
Question: The height of a triangle is decreased by 5% and its base increased by 50%. Its area will
Choices:
increase by 12.5%
decrease by 25%
Increase by 25%
Increase by 42.5%
Answer: D
Question: If P's height is 40% less than that of Q, how much percent Q's height is more than that of P?
Choices:
66.66%
70.05%
80%
85%
Answer: A
Question: Car A runs at the speed of 35 km/hr & reaches its destination in 10hr. Car B runs at the speed of 25 km/h & reaches its destination in 6h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
7 : 3
9 : 7
3 : 5
11 : 6
Answer: A
Question: If a certain sample of data has a mean of 10.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
Choices:
(5.0; 16.5)
(14.0; 26.5)
(16.5; 26.0)
(21.0; 26.5)
Answer: A
Question: A sum of money is distributed among w,x,y,z in the proportion of 4:2:5:3. If y gets $500 more than z, what is the x's share?
Choices:
$500
$2500
$2800
$1400
Answer: A
Question: In a group of 80 children and 30 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
Choices:
1160
1180
1560
1210
Answer: C
Question: How many diagonals does a 63-sided convex polygon have?
Choices:
1890
3780
3843
3906
Answer: A
Question: Which of the following is(are) true for a@b=b@a?
I. a@b=b+ba
II. a@b=(a+b)(a-b)
III. a@b=(a/b)+(b/a)
Choices:
only Ⅰ
only Ⅲ
only ⅠⅢ
only ⅡⅢ
Answer: A
Question: ♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3
♠0.089 - ♠2.135 =
Choices:
1.04
-1.05
-2
-0.1
Answer: C
Question: The simplified value of 1.2 + (1.2)2 + (1.2)3 is:
Choices:
4.368
3.248
3.368
4.368
Answer: A
Question: Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for $1.15 cents, and Zachary buys a pencil and an eraser for 75 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.)
Choices:
345
365
385
405
Answer: D
Question: A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
Choices:
60,000 square meters
50,000 square meters
20,000 square meters
30,000 square meters
Answer: C
Question: How many times are the hands of a clock at right angles in a day?
Choices:
44
55
888
11
Answer: A
Question: A car gets 20 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 190 kilometers?
Choices:
9.5 gallons
8.7 gallons
4.5 gallons
9.2 gallons
Answer: A
Question: Two trains are moving in opposite directions with speed of 60 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds
Choices:
48
47
26
25
Answer: A
Question: If x and y are unique prime integers, which of the following must be even?
Choices:
x−2y
2x−2y
2x−y
xy^2
Answer: B
Question: What is the % change in the area of a rectangle when its length increases by 60% and its width decreases by 60%?
Choices:
20% increase
36% decrease
1% decrease
Insufficient data
Answer: B
Question: Which of the following could be the sides of an obtuse angled triangle? all values are in degree only
I. 51, 29, 100
II. 10,110, 60
III. 20, 30, 50
Choices:
II only
I and II only
I
I, II and III
Answer: B
Question: When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 213.28, what is value of J?
Choices:
35
40
50
60
Answer: C
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:
120
115
110
111
Answer: A
Question: 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
Choices:
6:5
4:5
9:5
8:5
Answer: A
Question: Ramu and Shamu invested in a shop. The profits were divided in the ratio of 4 : 4 respectively. If Ramu invested Rs. 35,500, the amount invested by Shamu is:
Choices:
40000
45000
35500
None
Answer: C
Question: The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
Choices:
Rs. 4076
Rs. 4085
Rs. 4096
Rs. 5023
Answer: C
Question: If Nancy's income is Rs 17000, calculate his savings given that his income and expenditure are in the ratio 5:3.?
Choices:
Rs.1800
Rs.6800
Rs.7800
Rs.2800
Answer: B
Question: Kate wanted to buy 2kgs of apples. The vendor kept the 2kg weight on the right side and weighed 4 apples for that. She doubted on the correctness of the balance and placed 2 kg weight on the left side and she could weight 14 apples for 2 kgs. If the balance was correct how many apples she would have got?
Choices:
9
8
4
3
Answer: A
Question: How many seconds will a 900 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:
54
99
77
12
Answer: A
Question: The ratio between the present ages of P and Q is 5:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
Choices:
B)8:9
C)4:3
inadequate
of these
Answer: A
Question: If a rectangle length and width are both doubled,by what percent is the rectangle area increase?
Choices:
150
300
200
250
Answer: B
Question: Traders A and B buy two goods for Rs. 1000 and Rs. 2000 respectively. Trader A marks his goods up by x%, while trader B marks his goods up by 2x% and offers a discount of x%. If both make the same non-zero profit, find x.
Choices:
25%
37.5%
40%
50%
Answer: A
Question: The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 2 years ago ? (RBI Assistant 2015)
Choices:
19
12
15
13
Answer: A
Question: Speed of boat in water is 12km/hr. and the speed of the stream is 3km/hr. Find the time taken by the boat to go upstream a distance of 45km.
Choices:
4
5 hrs.
6
2
Answer: B
Question: An error 6% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Choices:
12.36
9.36
10.36
11.36
Answer: A
Question: A pharmaceutical company uses 900 gm in place of 1 kg to sell the drug. Find the actual % profit or loss, when the company sells the product on 10% gain on cost price?
Choices:
25
30
35
40
Answer: A
Question: A certain cricket team played seven games and scored an average of 180 runs per game. If, in the team’s first five games, it scored 175, 169, 181, 190, and 173 points, what was the average (arithmetic mean) number of points scored over the last two games?
Choices:
181
182
186
Cannot be determined from the information given.
Answer: C
Question: A train 280 m long, running with a speed of 72 km / hr will pass a tree in
Choices:
14 sec
16 sec
20 sec
None
Answer: A
Question: At what rate of compound interest per annum will a sum of Rs.1200 become Rs.1348.32 in 2 years?
Choices:
6%
7%
7.5%
8%
Answer: A
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
85 kg
90 kg
100 kg
110 kg
Answer: A
Question: The sum of a certain number and its reciprocal is equal to 2,9. What is the absolute value of the difference of this number and its reciprocal ?
Choices:
1,2
0,3
0,4
2,1
Answer: D
Question: In what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
4 sec
3 sec
7 sec
1 sec
Answer: C
Question: In a box of 6 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?
Choices:
1/5
2/3
2/5
1/7
Answer: A
Question: In a pet shop there are 120 eyes and 172 legs. How many birds are included in these?
Choices:
34
35
36
37
Answer: A
Question: On dividing 109 by a number, the quotient is 9 and the remainder is 1. Find the divisor?
Choices:
12
14
16
18
Answer: A
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 4 years hence?
Choices:
77
70
68
71
Answer: C
Question: If circles x and y have the same area and circle x has a circumference of 18π, half of the radius of circle y is:
Choices:
4.5
4
2
1
Answer: A
Question: . In digging a pond 18 m * 8 m * 6 m the volumes of the soil extracted will be?
Choices:
1000
864
989
678
Answer: B
Question: The digits of a three-digit number A are written in the reverse order to form another three-digit number B. If B>A and B-A is perfectly divisible by 7, then which of the following is necessarily true?
Choices:
106<A<305
112<A<311
118<A<317
None
Answer: A
Question: A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is -8, what is the value of x?
Choices:
-2
2
4
Cannot be determined.
Answer: D
Question: Thirty men can do a work in 24 days. In how many days can 20 men can do the work, given that the time spent per day is increased by one-third of the previous time?
Choices:
27
26
55
12
Answer: A
Question: What is the smallest positive integer K such that the product of 450 x K is a perfect square?
Choices:
3
15
25
63
Answer: A
Question: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
18 sec
12 sec
25 sec
Answer: C
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Choices:
29
12
17
10
Answer: B
Question: What is the area of square field whose side of length 16 m?
Choices:
777
256
288
261
Answer: B
Question: Einstein walks on an escalator at a rate of 5steps per second and reaches the other end in 10 sec. while coming back, walking at the same speed he reaches the starting point in 40secs. What is the number of steps on the escalator?
Choices:
60
120
80
data insufficient
Answer: C
Question: In a shop, shirts are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10% off the usual selling price. If he manages to sell 72 shirts for Rs 13.608, then his cost price per shirt, in Rs, is
Choices:
130
140
150
160
Answer: C
Question: The speed of a train is 80 kmph. What is the distance covered by it in 6 minutes?
Choices:
11 kmph
18 kmph
8 kmph
12 kmph
Answer: C
Question: A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 18 seconds. Due to some problem, two boggies were detached. The train now crosses a telegraph post in
Choices:
12 sec
15 sec
20 sec
None of these
Answer: B
Question: How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).
Choices:
86.09 inches
67.34 inches
34.98 inches
78.74 inches
Answer: D
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?
Choices:
10500
9423
8500
None of these
Answer: A
Question: A man can do a job in 20 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
Choices:
6.9
7.1
6.1
6.2
Answer: B
Question: If x is an integer, then x(x – 1)(x – k) must be evenly divisible by five when k is any of the following values EXCEPT
Choices:
-2
2
-1
5
Answer: B
Question: A hen leaps 3 leaps for every 2 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. What is the ratio of the speed of the hen to that of the duck?
Choices:
2:1
4:3
1:4
5:6
Answer: A
Question: What is the fraction in the simplest form of the terminating decimal 0.0325?
Choices:
41/30
13/40
1/30
1/40
Answer: B
Question: How many multiples of 4 are there between 12 and 104, inclusive?
Choices:
22
23
24
25
Answer: C
Question: How many integers from 101 to 800, inclusive, remains the value unchanged when the digits were reversed?
Choices:
60
70
80
90
Answer: B
Question: For which of the following functions f is f(a) = f(1-a) for all a?
Choices:
f (a) = 1 - a^2
f (a) = a^2 - (1 - a)^2
f (a) = a^2*(1 - a)^2
f (x) = x/(1 - x)
Answer: C
Question: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 36, what is the value of a?
Choices:
24
25
27
30
Answer: A
Question: A student has to obtain 50% of the total marks to pass. He got 200 marks and failed by 20 marks. The maximum marks are?
Choices:
520
530
540
440
Answer: D
Question: Three medical experts, working together at the same constant rate, can write an anatomy textbook in 18 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 9 days?
Choices:
3
5
8
15
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
Rs.1000
Rs.1007
Rs.1006
Rs.1002
Answer: A
Question: How many words can be formed by using all letters of the word ‘BIHAR’ ?
Choices:
120
130
140
None of these
Answer: A
Question: Two discounts of 40% and 20% equal to a single discount of?
Choices:
52%
60%
80%
70%
Answer: A
Question: In a recent election, James received 5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?
Choices:
901
990
991
1,001
Answer: A
Question: In a certain pond, 70 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
625
1,750
2,500
10,000
Answer: B
Question: Three unbased coins are tossed. the probability of getting at most three head is ?
Choices:
7/8
3/4
1/5
1/8
Answer: D
Question: If pqr = 1, the value of the expression (1 / ( 1 + p + q-1)) + (1 / ( 1 + p + r-1)) + (1 / ( 1 + p + p-1))
Choices:
1/ (p + q + r )
1
p ^ (-1) + q ^ (-1) + r ^ (-1)
None
Answer: B
Question: How many different numbers can we have by changing the position of the digits of the number 718844?
Choices:
90
180
360
720
Answer: B
Question: A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
Choices:
1500
1600
1200
1800
Answer: A
Question: A,B,C can complete a piece of work in 16,6,12 days. Working together, they complete the same work in how many days?
Choices:
48/15
7/9
10
24/7
Answer: A
Question: The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?
Choices:
1:2
1:8
1:1
1:6
Answer: B
Question: A train 700 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
178 Kmph
126 Kmph
118 Kmph
119 Kmph
Answer: B
Question: If 20 gallons of grape juice are added to 40 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
Choices:
25%
28%
34%
40%
Answer: D