antoine-444/aqua_rat_dataset huggingface dataset:
Question: The average of a set of five distinct integers is 420. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers?
Choices:
-3,997
-3,894
-3,194
The answer cannot be determined from the information given
Answer: B
Question: How long will a boy take to run round a square field of side 45 meters, if he runs at the rate of 9km/hr?
Choices:
72sec
1min
32sec
25sec
Answer: A
Question: A customer pays 50 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
70
90
50
60
Answer: A
Question: How many positive integers between 1 and 100 are there such that they are multiples of 15?
Choices:
4
7
1
6
Answer: D
Question: A man took some money for borrowed, for 3 years the total will be Rs.4000 and 5 years it will be Rs.5000/-. Then how much amount he borrowed?
Choices:
Rs.2500/-
Rs.2770/-
Rs.2800/-
Rs.2820/-
Answer: A
Question: Trains A and B start simultaneously from stations 350 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 40 miles per hour and 30 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?
Choices:
133
150
167
200
Answer: D
Question: A single discount equivalent to the discount series of 20%, 15% and 5% is?
Choices:
31.8
31.6
35.4
31.1
Answer: C
Question: A, B and C start a business with each investing Rs 20,000. After 5 months A withdraws Rs 5000, B withdraws Rs 4000 and C invests Rs 6000 more. At the end of the year, a total profit of Rs 69900 was recorded. Find the share of A.
Choices:
21500
20500
22000
21000
Answer: B
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 10 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
B)2
C)8.9
D)11.4
E)3
Answer: C
Question: The speeds of 3 trains in the ratio 2:6:14. The ratio between time taken by them to travel the same distance is?
Choices:
21:7:3
4:8:9
6:5:2
4:8:7
Answer: A
Question: A box contains 6 pairs of shoes (12 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Choices:
1/11
1/19
1/10
1/9
Answer: A
Question: If the sixth day of a month is two days earlier than Wednesday, What day will it be on the 20th day of the month?
Choices:
Monday
Sunday
Wednesday
Friday
Answer: A
Question: One side of the bottom layer of a triangular pyramid has 12 balls. How many are there in the whole pyramid?Note that the pyramid is equilateral and solid.
Choices:
364
504
164
154
Answer: A
Question: A train travelling at a speed of 75 mph enters a tunnel 3 1/2 miles long. The train is 1/4 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Choices:
3 min
3.2 min
3.5 min
None
Answer: A
Question: Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts S1,S2,S3 and S4 comined as shown in the table above. What is the expected number Y of defective chips in a shipment of 60000 chips?
Choices:
20
22
24
25
Answer: A
Question: If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 12 women together do the work?
Choices:
30 days
20 days
80 days
40 days
Answer: D
Question: At a monthly meeting, 3/5 of the attendees were males and 7/8 of the male attendees arrived on time. If 4/5 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
Choices:
31/200
17/100
11/100
7/50
Answer: A
Question: A man spends 2/5 of his salary on house rent,3/10 of his salary on food and 1/8 of his salary on conveyence.if he has Rs.1400 left with him,find his expenditure on food and conveyence.
Choices:
900
100
700
500
Answer: B
Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 7200, find the total rent of the field.
Choices:
35500
42500
22500
32500
Answer: D
Question: 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
Choices:
Saturday
Wednesday
Sunday
Monday
Answer: C
Question: Five years ago a father was thrice as old as his son. Five years hence the son will only half the age of his father. Find their present ages.
Choices:
35, 15
15, 35
15, 35
10, 40
Answer: A
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Choices:
340
364
499
456
Answer: B
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.5000, find their shares?
Choices:
2000,4000
2000,3000
1000,3000
4000,3000
Answer: B
Question: Rectangular tile each of size 25cm by 16cm must be laid horizontally on a rectangular floor of size 180cm by 120cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Choices:
54
55
65
48
Answer: A
Question: Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Friday, what was the expected day when both the brothers were to return home and when did Rohit Return?
Choices:
Thursday, Monday
Monday, Friday
Monday, Friday
none
Answer: B
Question: Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.55%, what fraction of the products was checked by worker y?
Choices:
1/4
1/5
1/6
1/8
Answer: C
Question: The difference between the ages of two persons is 20 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the younger person is?
Choices:
35
25
28
32
Answer: A
Question: 20-5*4^2+15 = ?
Choices:
-13
-45
13
None
Answer: B
Question: A car rental company charges for mileage as follows: 3 dollars per mile for the first n miles and 4 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
Choices:
6d-n
7d-n
8d-n
4d-n
Answer: D
Question: In an examination series, which consists of 5 exams, Arvind scored an average of 60 marks in
the first 3 exams and an average of 70 in the last 4 exams, what is the average score of
Arvind for the first and last two exams if his average scores of all the five exams are 65?
Choices:
32
63
64
65
Answer: B
Question: A bakery has 6 employees. It pays annual salaries of $15,000 to each of 2 employees, $17,000 to 1 employee, and $18,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Choices:
$16,500
$16,800
$17,000
$17,400
Answer: B
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10 a.m
10.40 a.m
11 a.m
11.40 am
Answer: A
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choices:
82 min
86 min
47 min
72 min
Answer: C
Question: The greatest number by which the product of three consecutive multiples of 4 is always
Choices:
384
162
243
None of these
Answer: A
Question: In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 23 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
Choices:
48
56
64
72
Answer: B
Question: A shopkeeper sold an article at $1110 and gained a 20% profit. What was the cost price?
Choices:
$875
$900
$925
$950
Answer: C
Question: A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is
Choices:
134 Kms
144 Kms
244 Kms
None of the above
Answer: B
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Choices:
10
40
50
55
Answer: B
Question: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
Choices:
7 : 3
7 : 5
7 : 7
7 : 9
Answer: A
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
Choices:
4
6
8
9
Answer: C
Question: A woman swims downstream 54 km and upstream 6 km taking 6 hours each time, what is the speed of the woman in still water?
Choices:
3
4
5
6
Answer: C
Question: can you find the last number in the number sequence given below
10: 10 : 20 : 45 : 110 : 300 :?
Choices:
930
540
630
730
Answer: A
Question: A pump can fill a tank with water in 4 hours. Because of a leak, it took 20 hours to fill the tank. The leak can drain all the water of the tank in?
Choices:
3
5
4
2
Answer: B
Question: On what sum of money will be difference between the simple interest and compound interest for 2 years at 5% p.a be equal to Rs. 25
Choices:
Rs.10000
Rs. 22000
Rs. 12000
Rs. 14000
Answer: A
Question: A chemist mixes one liter of pure water with x liters of a 40% salt solution, and the resulting mixture is a 20% salt solution. What is the value of x?
Choices:
1/3
1/2
1
3
Answer: C
Question: A boy was asked to find 7/9 of a x. But he divided the x by 7/9, Thus he got 32 more than theanswer. Find the x.
Choices:
61
62
63
65
Answer: C
Question: Will must choose a 2-character computer password, consisting of 2 letter from the alphabet , in any order.From how many different passwords can Will choose?
Choices:
2,340
4,680
1300
14,040
Answer: C
Question: If John invested $ 2 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 4 years would be
Choices:
4(1.5)
(1.05)^4
(2.05)^4
1 + 4(0.05)
Answer: C
Question: If y = x +2, Find the range of real values of y satisfying the inequalities 16x - 6 > 42 and 7x - 24 < 60"
Choices:
5 < y < 14
1 < y < 10
y < 10
y < 12
Answer: A
Question: The sum of the squares of three numbers is 41, while the sum of their products taken two at a time is 20. Their sum is:
Choices:
5
9
15
None of these
Answer: B
Question: Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Choices:
-33
-46
45
46
Answer: A
Question: The average age of 20 men in the class is 14.6 years. Five new men join and the new average becomes 15.56 years. What was the average age of five new men?
Choices:
19.4
15.25
15.3
15.6
Answer: A
Question: Whats the probability of getting 5 Sunday(my favorite day) in a 31 day month ?
Choices:
2/9
6/7
1/5
3/7
Answer: D
Question: Pipe A can fill a tank in 10 hours, pipe B in 8 hours, and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
3
4
5
6
Answer: B
Question: The diameter of a circle is 4/π. Find the circumference of the circle.
Choices:
8
4
6
5
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
77%
44%
16%
47%
Answer: B
Question: Set E includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?
Choices:
1
2
3
4
Answer: C
Question: There are 138 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?
Choices:
11
12
16
14
Answer: C
Question: In a coconut grove, (x + 4) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 4) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
Choices:
4
8
9
None of the above
Answer: B
Question: If a farmer wants to plough a farm field on time, he must plough 120 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?
Choices:
720
740
760
780
Answer: A
Question: For a certain exam,a score of 60 was 2 standard deviations below mean and a score of 100 was 3 standard deviations above mean.What was the mean score for the exam?
Choices:
76
78
80
82
Answer: A
Question: Three consecutive even numbers are such that thrice the first number exceeds double the third number by five. What is the third number?
Choices:
15
17
19
21
Answer: B
Question: A(n+1)=1+(1/A(n)) and A(1)=1. What is the value of A(8)?
Choices:
32/19
34/21
36/23
38/25
Answer: B
Question: Present ages of Kiran and Syam are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Syam's present age in years?
Choices:
24
25
28
30
Answer: A
Question: How many positive integers will divide evenly into 190?
Choices:
6
8
12
16
Answer: B
Question: Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
Choices:
21:32
12:17
17:12
None of these
Answer: A
Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 84. Find the third number?
Choices:
B)85
C)48
D)43
E)84
Answer: D
Question: After decreasing 40% in the price of an article costs Rs.1050. Find the actual cost of an article?
Choices:
1750
1050
1570
1005
Answer: A
Question: If n is a natural number, then (6n2 + 6n) is always divisible by?
Choices:
6 and 12 both
12 only
6 or 12
None
Answer: A
Question: A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
Choices:
10
66
28
12
Answer: A
Question: By selling 20 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
60
50
30
10
Answer: C
Question: P is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2P is divided by 4 ?
Choices:
2
1
0
-1
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50 km/hr
76 km/hr
88 km/hr
17 km/hr
Answer: A
Question: Of 30 applicants for a job, 13 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
Choices:
13
9
6
5
Answer: C
Question: The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 21-inch flat-screen television than a square 19 -inch flat-screen television?
Choices:
40
38
36
48
Answer: A
Question: If a 5 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
Choices:
200%
300%
400%
500%
Answer: C
Question: A train travels at an average of 40 miles per hour for 4 hours and then travels at a speed of 60miles per hour for 2hours. How far did the train travel in the entire 6 hours?
Choices:
150miles
200miles
250miles
300miles
Answer: D
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
40
80
100
200
Answer: C
Question: In an exam 80% of the boys and 40% of the girls passed. The number of girls who passed is 120, which is 2/3rd of the number of boys who failed. What is the total number of students who appeared for the exam?
Choices:
1200
3800
2180
3180
Answer: A
Question: In an examination, 35% candidates failed in one subject and 42% failed in another subject while 14% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?
Choices:
1020
1175
1225
1525
Answer: C
Question: A man incurs a loss of 5% be selling a watch for Rs. 1140. what price should the watch be sold to earn 5% profit.
Choices:
1260
1350
1250
1355
Answer: A
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 21 years(the child was born during the interval). What is the present age of the child?
Choices:
7
8
4
2
Answer: A
Question: By using the numbers 1, 2, 3, 7 and 9 only once, how many five digit numbers can be made that are divisible by 25?
Choices:
4
Not possible
3
6
Answer: B
Question: If 2log(4*5^2) = x, find x
Choices:
6
7
4
8
Answer: C
Question: A man swims downstream 72 km and upstream 45 km taking 5 hours each time; what is the speed of the current?
Choices:
2.8
3.6
2.7
1.1
Answer: C
Question: A and B together have $ 1210. If of A's amount is equal to of B's amount,What is the ratio between A and B?
Choices:
3:2
4:5
5:3
cannot be determined
Answer: A
Question: A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Choices:
3 min
3.2 min
3.5 min
3.8 min
Answer: B
Question: Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel?
Choices:
54
80
36
96
Answer: A
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Choices:
50
60
70
80
Answer: B
Question: Seats for Maths, Physics and Biology are in the ratio of 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?
Choices:
2 : 3 : 4
6 : 8 : 9
Cannot be determined
None of these
Answer: A
Question: Laxmi goes 6 km towards South-East from her office.Then she goes 15 km turning to West. After this she goes 6 km towards North-West and in the end she goes 11 km towards East. How far is she from her office ?
Choices:
11 km
4 km
6 km
8 km
Answer: B
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 24 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
540
877
278
178
Answer: A
Question: A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
3hours
2hours
5hours
4hours
Answer: A
Question: The average age of 15 students of a class is 16 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Choices:
24years
26years
28years
30years
Answer: B
Question: Tomy's age 14 years hence will be thrice his age four years ago. Find Tomy's present age?
Choices:
13 years
15 years
17 years
18 years
Answer: A
Question: A test has 100 questions. Each question has 5 options, but only 1 option is correct. If test-takers mark the correct option, they are awarded 1 point. However, if an answer is incorrectly marked, the test-taker loses 0.25 points. No points are awarded or deducted if a question is not attempted. A certain group of test-takers attempted different numbers of questions, but each test-taker still received the same net score of 40. What is the maximum possible number of such test-takers?
Choices:
10
11
12
13
Answer: D
Question: If a,b,c,d,e are five consecutive odd integers,then what is their average?
Choices:
a+4
5(a+b+c+d+e)
a+8
a+6
Answer: A
Question: A worker earns $24 on the first day and spends $18 on the second day. The worker earns $24 on the third day and spends $18 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $72?
Choices:
12
17
21
24
Answer: B
Question: 34.	The side surface of a cylinder is rolled with a rectangular plate. If the perimeter of the circular base Is 6 feet, and the diagonal of the rectangular plate was 10 ft. What is height of the of the cylinder?
Choices:
10
8
12
15
Answer: B
Question: Siddharth wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Choices:
Rs.21.60
Rs.21.87
Rs.21.68
Rs.21.19
Answer: A
Question: The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
17 years
18 years
12 years
11 years
Answer: B
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 180. The amount of the bill is
Choices:
1764
1680
1354
None of these
Answer: B
Question: On a certain date, Pat invested $5,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 12 years will be $20,000, in how many years, the total value of the investment plus interest will increase to $30,000?
Choices:
15
18
20
24
Answer: A
Question: Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 9/10, what is the probability that Taylor makes exactly one basket in three tries?
Choices:
3^5/10^3
3^3/10^3
3^2/10^3
3^4/10^4
Answer: A
Question: there is a equilateral triangle whose area is A.another triangle is formed by joining the mid points.this process is continued.find the sum of these areas.
Choices:
2A/3
A
4A/3
5A/3
Answer: C
Question: If 2x + y = 7 and x + 2y = 5, then (2x + 2y)/3 =
Choices:
3
17/5
18/5
4
Answer: A
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
Choices:
8
9
10
11
Answer: A
Question: The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is the amountby which he might have fallen short.
Choices:
40
50
60
80
Answer: A
Question: The ratio of the volumes of two cubes is 512 : 729. What is the ratio of their total surface areas?
Choices:
81:12
41:46
41:19
84:12
Answer: B
Question: A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability P that the game will end after the fourth throw?
Choices:
3/32
1/8
3/16
1/4
Answer: B
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages (in years)
Choices:
14, 20, 36
16, 12, 14
16, 28, 36
None
Answer: C
Question: Set X consists of 10 integers and has median of 10 and a range of 10. What is the value of the greatest possible integer that can be present in the set?
Choices:
37
C.40
20
50
Answer: C
Question: At a Halloween party, 2/5 of the people were dressed as vampires, 1/3 were dressed as ghosts; everyone else at the party, were equally dressed as Pirates, Robin Hood, Fairies, and Princesses. If all of the Fairies leave the party, and the people who just arrived to the party are all dressed as ghosts, doubling the number of ghosts at the party, what proportion of the people at the party are vampires?
Choices:
6/19
5/26
1/2
3/7
Answer: A
Question: When n is divided by 18, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?
Choices:
17
18
19
20
Answer: B
Question: Tlaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?
Choices:
54
96
144
432
Answer: A
Question: In a class, 6 students can speak Tamil, 15 can speak Gujarati and 6 can speak H. If two students can speak two languages and one student can speak all the three languages, then how many students are there in the class?
Choices:
21
22
23
24
Answer: C
Question: Divide 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is:
Choices:
792
818
828
None of these
Answer: C
Question: Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
Choices:
5
11
13
15
Answer: A
Question: How many three digits numbers greater than 600 can be formed by using the digits 4,5,6,7,8?
Choices:
55.
65.
85.
75.
Answer: D
Question: What is the greatest of 3 consecutive integers whose sum is 39?
Choices:
14
16
17
18
Answer: A
Question: The average weight of 10 oarsmen in a boat is increased by 1.8kg when one of the crew, who weight 53kg is replaced by a new man. Find the weight of the new man.
Choices:
62kg
74kg
85kg
71kg
Answer: D
Question: Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio E of the number of hours Ann spends driving to the meeting to the number of hours Bob spends driving to the meeting?
Choices:
3:2
4:3
2:3
3:8
Answer: A
Question: What is the area of a square field whose diagonal of length 22 m?
Choices:
289
242
112
178
Answer: B
Question: How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,Q,R,S,and W so that letter P is to the left of letter R?
Choices:
50
60
90
100
Answer: B
Question: In a group of ducks and cows, the total number of legs are 28 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
12
14
16
18
Answer: B
Question: Susan weighs m pounds more than Anna does, and together they weigh a total of n pounds. Which of the following represents Anna’s weight in pounds?
Choices:
(n - m)/2
n/2 - m
2n − m
n − 2m
Answer: A
Question: The sum of three integers is 33. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. What is the product of the three integers?
Choices:
192
214
225
236
Answer: A
Question: If a:b=1:2 and b:c=3:4 find a:b:c?
Choices:
3:6:8
3:7:8
3:6:4
3:6:9
Answer: A
Question: By selling a watch for Rs.640/-, a man loses 20% what is that watch cost price?
Choices:
Rs. 700/-
Rs. 800/-
Rs. 850/-
Rs. 900/-
Answer: B
Question: A football coach must choose 3 freshers from a team of 12players. How many different ways can the coach choose the freshers?
Choices:
220
729
800
890
Answer: A
Question: In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 24,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got four times as many votes as the other candidate, how many people have voted in each round?
Choices:
25,000
80,000
50,000
60,000
Answer: B
Question: Find the probability that a number selected from numbers 1, 2, 3,..., 40 is a prime number, when each of the given numbers is equally likely to be selected?
Choices:
12/40
8/40
3/40
7/40
Answer: A
Question: If logX = (logY)/2 = (logZ)/5, then X4.Y3.Z-2 =?
Choices:
10
1
0
3
Answer: B
Question: In the quiet town ofNothintodothere are 850 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
Choices:
100.
150.
200.
300.
Answer: D
Question: In how many ways can the letters of word TREATMENT be arranged such that all the vowels as well as all the Consonants always appear together?
Choices:
3!*6!*2!
5!*5!
5!*4!*2!
6!*4!
Answer: A
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Choices:
144
165
182
716
Answer: A
Question: If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 27, 33 and 35 ?
Choices:
28
27
24
25
Answer: D
Question: While driving from A-ville to B-town, Harriet drove at a constant speed of 110 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 140 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?
Choices:
148
150
162
168
Answer: D
Question: In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
3
8
13
15
Answer: A
Question: The some of present ages of father and son is 60.If 6 years ago fathers age was five times the sons age,then what will be sons age after six years??
Choices:
18
20
22
24
Answer: B
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Find out the age of the youngest child?
Choices:
8
7
6
4
Answer: D
Question: A number when divided by a divisor leaves a remainder of 30. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
13
35
43
59
Answer: C
Question: Two employees X and Y are paid a total of Rs. 600 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.250.72
s.272.72
s.300.72
s.310.72
Answer: B
Question: If x and y are positive real numbers such that x + y = 1, which of the following could be the value of 100x + 300y?
I. 80
II. 150
III. 299
Choices:
III only
I and II
I and III
II and III
Answer: D
Question: A train covers a distance of 18 km in 3 min. If it takes 4 sec to pass a telegraph post, then the length of the train is?
Choices:
380
390
400
410
Answer: C
Question: The average runs scored by a batsman in 15 matches is 30. In the next 20 matches the batsman scored an average of 15 runs. Find his average in all the 30 matches?
Choices:
25.65
21.43
28.36
27.96
Answer: B
Question: 16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 6 girls Will take to construct?
Choices:
14 days
6 days
8 days
9 days
Answer: C
Question: In how many ways can a leap year have 53 Sundays?
Choices:
7
4
5
6
Answer: C
Question: If the tens digit of positive integers h, y are 6, how many values of the tens digit of 2(h+y) can be there?
Choices:
3
4
5
6
Answer: B
Question: By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Choices:
96
75
80
100
Answer: A
Question: Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1500 widgets?
Choices:
2 hour and 24 minutes
2 hour and 30 minutes
2 hour and 36 minutes
2 hour and 40 minutes
Answer: B
Question: Pipe A can fill a tank in 4 hours, pipe B in 8 hours and pipe C in 8 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2
4
5
6
Answer: A
Question: There are 10 female and 15 male in a work place. In how many ways can a person can be selected?
Choices:
15
18
40
25
Answer: D
Question: A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
4:9
4:3
2:3
4:9
Answer: B
Question: A man pointing to a photo says "The lady in the photograph is my nephew’s maternal grandmother". How is the lady in the photograph related to the man’s sister who has no other sister ?
Choices:
Sister-in-law
Mother
Mother-in-law
None of these
Answer: B
Question: Which of the following is a multiple of 4!+6?
Choices:
4!+12
5!+6
5!+30
8!+12
Answer: C
Question: Aden and Brad can do a piece of work in 18 days. Brad can Cody can do it in 24 days and Cody and Aden can do it in 36 days. If Aden, Brad, Cody work together, in how many days will they finish the work?
Choices:
12 days
14 days
16 days
17 days
Answer: C
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
6
4
2
Answer: A
Question: The average age of 37 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
Choices:
45 years
51 years
52 years
None of these
Answer: C
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
632 m
245 m
737 m
243 m
Answer: B
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 5000. He sold both the items together for Rs. 25000. What percentage of profit did he make?
Choices:
15.21%
41.10%
19.04%
10.00%
Answer: C
Question: A father is now three times as old as his son. Seven years back, he was four times as old as his son. The age of the son (in years) is
Choices:
15
18
20
21
Answer: D
Question: If 'a' and 'b' are non-zero numbers such that their sum is five times the product, what is the value of 1/a + 1/b?
Choices:
5
6
10
15
Answer: A
Question: The G.C.D of 1.08, 0.36 and 0.9 is
Choices:
0.17
0.18
0.12
0.11
Answer: B
Question: A shipment of 250 smartphones contains 76 that are defective. If a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective?
Choices:
1/84
1/11
1/9
1/3
Answer: B
Question: Of the following values of n, the value of (-1/3 )^(-n) will be greatest for n =
Choices:
-3
0
-2
2
Answer: D
Question: The sum of four consecutive even numbers is 140. What would be the smallest number?
Choices:
32
70
123
12
Answer: A
Question: Carol budgeted 18 dollars for gifts for each of the 15 people on her Christmas list. After a disagreement with some of her neighbors, she reduces her Christmas list to 10 people. How much can she spend on each?
Choices:
27
18
23
30
Answer: A
Question: In how many ways 2 boys and 2 girls can be seated in a row so that boys and girls are alternate?
Choices:
8
9
10
11
Answer: A
Question: A goods train runs at the speed of 72 km/hr and crosses a 260 m long platform in 26 sec. What is the length of the goods train?
Choices:
166
151
260
109
Answer: C
Question: If '+' means ' ÷ ', '-' means '×', '' means '-'' means '+', then (280 + 1020) - 86 is -------.
Choices:
112
-392
58
None
Answer: D
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 1200 per sq.metre.
Choices:
Rs. 24,750
Rs. 15,600
Rs. 16,500
None
Answer: A
Question: When two different numbers are divided by a certain divisor the remainders are 147 and 192. When the sum of the two numbers is divided by the same divisor the remainder is 38: Find the divisor.
Choices:
301
302
303
304
Answer: A
Question: An gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively.
What is the probability that the plane is hit when all the four shots are fired?
Choices:
0.6976
0.986
1.243
1.3445
Answer: A
Question: A carpenter worked alone for 1 day on a job that would take him 4 more days to finish. He and another carpenter completed the job in 2 more days. How many days would it have taken the second carpenter to do the complete job working alone?
Choices:
5
9
14
24
Answer: A
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.19
7.13
7.15
7.11
Answer: C
Question: Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 42% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
Choices:
90
120
168
188
Answer: C
Question: If points A and B are (6-1) units apart, which of the following can have only one possible value?
I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB
Choices:
I only
III only
I and II only
I and III only
Answer: A
Question: Three seventh of a number is 12 more than 40% of that number. What will be the 50% of that number?
Choices:
B)210
C)105
D)248
E)258
Answer: B
Question: Tough and Tricky questions: Absolute Values.
If |a| = 1/4 and |b| = 1/2, which of the following CANNOT be the result of a + b?
Choices:
-1
3/4
-3/4
1/4
Answer: A
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?Look at this series: 1, 5, 7, 3, __, 1 ...Which number is missing?
Choices:
4
12
0
13
Answer: D
Question: A train passes a platform in 34 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Choices:
240 meter
210 meter
200 meter
None of these
Answer: B
Question: Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?
Choices:
Rs.2380
Rs.2317
Rs.2329
Rs.2318
Answer: A
Question: The least umber of five digits which is exactly
divisible by 12,15 and 18 is?
Choices:
10012
10015
10018
10080
Answer: D
Question: In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
52
62
25
20
Answer: A
Question: The product X of two prime numbers is between 17 and 60. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
Choices:
29
37
44
57
Answer: D
Question: Which of the following is a pair of Co - Primes ?
Choices:
18,25
31,92
32,62
18,43
Answer: A
Question: Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 3-cent stamps she could have bought ?
Choices:
5
15
20
25
Answer: A
Question: A committee is reviewing a total of 40x black-and-white films and 10y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color?
Choices:
50/52
60/52
40/52
30/52
Answer: A
Question: For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12)=2x4x6x8x10x12. What is the greatest prime factor of f(28)?
Choices:
7
11
13
17
Answer: C
Question: IF 2+3=13 ; 3+5=31 ; 5+7=59, Then 7+9=?
Choices:
95
67
98
89
Answer: A
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 70. Find the average marks of all the students?
Choices:
52.9
52.1
58.75
42.5
Answer: C
Question: In a stream running at 2 Kmph, a motor boat goes 10 Km upstream and back again to the starting point in 55 minutes. Find the speed of motor boat in still water?
Choices:
15
22
18
25
Answer: B
Question: A can give B 100 meters start and C 120 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
11.22 meters
22.22 meters
33.22 meters
None of these
Answer: B
Question: In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 28160, how many purple chips were selected?
Choices:
2
3
4
5
Answer: B
Question: A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio T of students per class?
Choices:
T=3
6
8
12
Answer: A
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 42 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Choices:
36
37
38
39
Answer: D
Question: In a certain lottery, the probability that a number between 14 and 20, inclusive, is drawn is 1/6 . If the probability that a number 14 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn?
Choices:
1/6
1/2
1/3
5/6
Answer: B
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Choices:
1024
1023
1025
1084
Answer: B
Question: A cube is divided into 729 identical cubelets. Each cut is made parallel to some surface of the cube . But before doing that the cube is coloured with green colour on one set of adjacent faces ,red on the other set of adjacent faces, blue on the third set. So, how many cubelets are there which are painted with exactly one colour?
Choices:
294
295
296
298
Answer: A
Question: What is the radius of a circle that has a circumference of 3.14 meters?
Choices:
0.3
0.5
0.7
0.9
Answer: B
Question: Johnop went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?
Choices:
6 km
4.5 km
km
none of the above
Answer: B
Question: fill in ht blank:(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,(b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___
Choices:
(a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for x ; to find x- intercept , we let y equal 0 and solve for y
(a) the point with coordinates (0,0) is called line of a rectangular coordinate system, (b) to find the y-intercept of a line, we let y equal 0 and solve for z ; to find x- intercept , we let x equal 0 and solve for x
(a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the y-intercept of a line, we let z equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x
none of the above
Answer: D
Question: P and Q entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A withdrew Rs.5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by:
Choices:
Rs.3000
Rs.3600
Rs.4800
Rs.3800
Answer: B
Question: Kyle, Devon, and Catherine each try independently to solve a problem. If their individual probabilities for success are 1/2, 1/3 and 5/9, respectively, what is the probability that Kyle but not Devon and Catherine will solve the problem?
Choices:
1/4
15/21
11/19
4/27
Answer: D
Question: Of the teams competing in the world archery championships, Fifty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Choices:
4/20
13/15
17/20
13/17
Answer: A
Question: An empty fuel tank with a capacity of 212 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:
98
100
80
50
Answer: A
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
Choices:
2700
2000
2500
2600
Answer: A
Question: If s > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - s) =
Choices:
1/3
1/2
3/4
1
Answer: A
Question: In how many ways can the letters of wordTECHNOLOGYbe arranged such that all the Consonants always appear together?
Choices:
4!*7!
5!*5!
5!*4!*2!
6!*4!
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
88 seconds
99 seconds
12 seconds
18 seconds
Answer: C
Question: If p(x)=ax^4+bx^3+cx^2+dx+e has roots at x=1,2,3,4 and p(0)=48, what is p(5)
Choices:
48
0
50
40
Answer: A
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 12 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
17
18
19
12
Answer: D
Question: The difference between the local value and the face value of 8 in the numeral 96348621 is
Choices:
6982
7982
7972
7992
Answer: D
Question: A person earns 15% on investment but loses 10% on another investment. If the ratio of the two investments be 3:5, what is the gain or loss on the two investments taken together?
Choices:
0.63 %
0.65 %
0.66 %
None
Answer: A
Question: A room is 10 meters long, 8 meters wide 6 meters in height. The longest possible rod which can be placed in the room is
Choices:
13.92 meters
13.52 meters
13.72 meters
14.14 meters
Answer: D
Question: 8103/x is a non-terminating decimal. Which of the following could be a value of x?
Choices:
5
9
12
15
Answer: B
Question: On a sum of money, the simple interest for 2 years is Rs. 320, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is
Choices:
14.25%
12.5%
10.5%
11.5%
Answer: B
Question: A train 600 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
279 m
500 m
289 m
700 m
Answer: D