antoine-444/aqua_rat_dataset huggingface dataset:
Question: A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
Choices:
144
188
199
121
Answer: A
Question: A bus from city M is traveling to city N at a constant speed while another bus is making the same journey in the opposite direction at the same constant speed. They meet in point P after driving for 2 hours. The following day the buses do the return trip at the same constant speed. One bus is delayed 24 minutes and the other leaves 36 minutes earlier. If they meet 24 miles from point P, what is the distance R between the two cities?
Choices:
72
96
120
192
Answer: D
Question: If 9 is a factor of 2y, then which of the following may not be an integer?
Choices:
6y/54 + 2y/3
(2y+27)/9
(81-4y^2)/81
(2y-3)/3
Answer: A
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Choices:
12
13
18
21
Answer: C
Question: A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are
drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid
P was contained in the container initially?
Choices:
21
19
17
18
Answer: A
Question: A certain university will select 2 of 3 candidates eligible to fill a position in the mathematics department and 4 of 5 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
10
40
65
15
Answer: D
Question: How many even integers n, such that 20<=n<=180 are of the form 3k+4, where k is any natural number?
Choices:
27
30
33
36
Answer: A
Question: There are 12 dozen mangoes in a box. If there are 43
such boxes, how many mangoes are there in all the
boxes together?
Choices:
3096
6192
628
None
Answer: B
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
56%
57%
67%
78%
Answer: B
Question: If 28a+30b+31c=395.
then a+b+c=?.a,b,c are natural numbers
Choices:
8
12
13
42
Answer: C
Question: K is a 3 digit number such that the the ratio of the number to the sum of its digits is least.What is the difference between the hundreds and tens digit?
Choices:
8
7
6
5
Answer: A
Question: An inlet pipe can fill the tank in 30 minutes. B an outlet pipe can empty the tank in 45 minutes. In what time the tank be filled if both pipes work simultaneously?
Choices:
90 minutes
70 minutes
60 minutes
50 minutes
Answer: A
Question: The average age of a class of 22 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
Choices:
44
45
43
50
Answer: A
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
Rs.540
Rs.550
Rs.560
Rs.570
Answer: A
Question: Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel?
Choices:
Rs.2166.67
Rs.2345.13
Rs.2456.34
Rs.2550.34
Answer: A
Question: If two students are made to sit in a row, then 6 don't have seats. If 6 students are made to sit in a row, then three rows are empty. How many students have to sit a row such that each row has equal number of students and all students are seated?
Choices:
3
4
5
9
Answer: A
Question: Find the value of k for which there are infinite solutions for the given set of equations.
5x + 2y = k and 10x + 4y = 3
Choices:
3/2
3/1
3/8
3/4
Answer: A
Question: If n is an integer greater than 8, which of the following must be divisible by 3?
Choices:
2. n (n+2) (n-1)
3. n (n+3) (n-5)
4. n (n+4) (n-2)
5. n (n+5) (n-6)
Answer: B
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Choices:
Rs. 2(2/9)
Rs. 2(1/9)
Rs. 4(2/9)
Rs. 3(1/9)
Answer: A
Question: A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
9
10
20
30
Answer: B
Question: 36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203. What is the first part?
Choices:
19
267
26
28
Answer: A
Question: In a nationwide poll, N people were interviewed. If 1/5 of them answered yes to question 1, and of those, 1/4 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions?
Choices:
8N/9
19N/20
31N/40
37N/40
Answer: B
Question: The cost price of 60 articles is the same as the selling price of x articles. If the profit is 20%, what is x?
Choices:
45
48
50
54
Answer: C
Question: The grade point average of the entire class is 84. If the average of one fourth of the class is 96, what is the average of the rest of the class?
Choices:
77
78
79
80
Answer: D
Question: 2 – [2 – {2 – 2 (2 + 2)}] = ?
Choices:
4
6
None of these
Cannot be determined
Answer: C
Question: How many D ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
Choices:
6P4
4^6
6^4
6!
Answer: B
Question: Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for 75 cents, and Zachary buys a pencil and an eraser for 35 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.)
Choices:
285
305
315
325
Answer: A
Question: judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 8th position from either end of the row.
Can you find out how many girls are practicing together?
Choices:
9
15
16
18
Answer: B
Question: One hundred multiples of seven are chosen at random, and 200 multiples of eight are chosen at random. Approximately what percentage of the 300 selected numbers are odd?
Choices:
16.67%
35.33%
36.33%
37.33%
Answer: A
Question: A piece of work can be done by Ram and shyam in 12 days, By shyam Nad hari in 15 days and by hari and ram in 20 days. Ram alone can complete the work in how much days ?
Choices:
30
25
32
28
Answer: A
Question: There are 97 lights which are functional and each is controlled by a separate On/Off switch. Two children A and B start playing with the switches. A starts by pressing every third switch till he reaches the end. B, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position at the beggining, How many lights are switched On by the end of this operation?
Choices:
49
39
59
69
Answer: B
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 20 percent during the third year. What is the value of the account today?
Choices:
$9,240
$10,500
$11,500
$12,705
Answer: A
Question: A portion of the 50% solution of chemicals was replaced with an equal amount of 60% solution of chemicals. As a result, 55% solution of chemicals resulted. What part of the original solution was replaced?
Choices:
1/4
3/4
2/5
1/2
Answer: D
Question: If Harsh sold a match ticket for Rs.340 at a profit of 25%, at what price did he purchased the ticket?
Choices:
255
300
272
None of these
Answer: C
Question: The ratio of the volumes of two cubes is 125 : 216. What is the ratio of their total surface areas?
Choices:
13:18
1:12
8:17
1:11
Answer: A
Question: Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
Choices:
75x^2 = 3y^2 - 12
25x^2 = (y + 2)(y - 2)
5x = y - 2
x^2 = (y^2 - 4)/25
Answer: C
Question: X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.13970 ?
Choices:
4064
3250
3825
3985
Answer: A
Question: If a= 3b, where b is a prime number greater than 2, how many different positive even divisors does a have, including a?
Choices:
0
2
3
It cannot be determined from the information given
Answer: A
Question: Total of ages of A,B and C at present is 90 years. If ratio of this ages is 3 : 3 : 4 what will be the age of C after 5 years?
Choices:
42 years
40 years
41 years
None of the above
Answer: C
Question: In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
Choices:
12
14
16
18
Answer: A
Question: If f(x)=5x+6 and g(y)=2y^2+ 8y-5 then g(f(x))
Choices:
50x^2+160x+115
85x^2+85x+85
68x^2+87x+69
87x^2+85x+58
Answer: A
Question: Simplify :(log 75/16-2 log 5/9+log 32/243)
Choices:
log 2
log 3
log 4
log 10
Answer: A
Question: A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be
Choices:
12.5 m
17.5m
21.25m
9.8m
Answer: A
Question: Find the average of first 20 multiples of 7?
Choices:
73.5
75.9
75
71.5
Answer: A
Question: A part-time employee whose hourly wage was increased by 10 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?
Choices:
9.09
11
12
13
Answer: A
Question: Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 4?
Choices:
8
10
11
12
Answer: B
Question: The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
Choices:
1:27
1:9
9:1
1:2
Answer: A
Question: Which of the following is a prime number
Choices:
67
69
70
72
Answer: A
Question: What will come in place of the x in the following Number series? 6, 12, 21, 33 , 48 , 66 , 87, x
Choices:
35
39
111
42
Answer: C
Question: What will be the day of the week on 15th August,2010 ?
Choices:
Sunday
Tuesday
Friday
None of these
Answer: A
Question: n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m.
Find the time taken by B to run 2000m race?
Choices:
250
400
450
500
Answer: A
Question: 9, 16, 21, 25, 36,49
Choices:
16
21
25
36
Answer: B
Question: If the distance between A and B is 100m and that of B and C is 500. Then what is the distance between A and C ?
Choices:
600m
Between 500m and 600m
700m
800m
Answer: A
Question: In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/3 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many two-bedroom units are not rented?
Choices:
70
100
130
140
Answer: C
Question: How many positive integers less than 5,000 are evenly divisible by neither 18 nor 21?
Choices:
4,475
4,521
4,428
4,349
Answer: C
Question: 5 people are sitting in a 4 seat row watching a football game. At halftime they all get up. When they return, they each randomly sit down on one of the 4 chairs. What is the likelihood that none of the 4 end up sitting in the same chair that they sat in during the first half?
Choices:
9/120
15/24
18/24
21/24
Answer: A
Question: Three faces of a fair die are Yellow, three faces red and one blue.The die is tossed three
times. The probability that the colours, yellow, red and blue appear in the first, second and
third tosses respectively is
Choices:
1/24
1/32
1/37
None of these
Answer: A
Question: Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?
Choices:
1:8
1:3
1:4
1:5
Answer: A
Question: For positive integers n, the integer part of the nth term of sequence E equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, E_1 = 1.2345678…, while E_2 = 2.4681012… The sum of the first seven terms of sequence E is between:
Choices:
29 and 30
30 and 31
31 and 32
32 and 33
Answer: B
Question: A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
Choices:
13 days
20 3/17 days
21 days
None of these
Answer: A
Question: Nancy works 3 days per week at a rate of x dollars per day. If Nancy works more than 3 days per week, any extra days are paid at double her normal rate. Nancy worked 2 weeks with no overtime, and then worked 3 more weeks, each with y days of overtime. Which of the following represents Nancy’s total earnings over this period?
Choices:
a) 3x(2y+5)
c) 3xy(7x+2)
d) 3x(2y+7)
e) 4x(y+8)
Answer: A
Question: In a race of length L metres, Johnson beats Lewis by Y metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (Y<N)
Choices:
L(N-Y) / L-Y
L-N
Y-N
Y+N
Answer: A
Question: In how many different ways can the letters of the word 'DEVELOP' be arranged?
Choices:
20 ways
30 ways
2520 ways
40 ways
Answer: C
Question: Frances can complete a job in 10 hours, and Joan can complete the same job in 10 hours. Frances starts the job at 9 a.m., and stops working at 3 p.m. If Joan starts working at 6 p.m. to complete the job, at what time is the job finished?
Choices:
7 p.m.
8 p.m.
10 p.m.
12 p.m.
Answer: C
Question: How many multiples of 3 are there between 100 and 300 (both are inclusive)?
Choices:
67.6
2.47
3.54
6.51
Answer: A
Question: If the fractions 2/5, 3/8, 4/9, 5/13 and 6/11 are arranged in ascending order of their values, which one will be the fourth?
Choices:
4/9
3/8
5/13
6/13
Answer: A
Question: Sandy bought 65 books for $1380 from one shop and 55 books for $900 from another shop. What is the average price that Sandy paid per book?
Choices:
$15
$17
$19
$21
Answer: C
Question: 10 people went to a hotel for combine dinner party 8 of them spent Rs. 10 each on their dinner and rest spent 4 more than the average expenditure of all the 10. What was the total money spent by them.
Choices:
110
1492
1496
None of these
Answer: A
Question: Dawson and Henry are in a relay race. Dawson runs the first leg of the course in 38 seconds. Henry runs the second leg of the course in 7 seconds. What was the average time they took to run a leg of the course?
Choices:
21.5
22.5
23.5
24.5
Answer: B
Question: Mangala completes a piece of work in 9 days, Raju completes the same work in 21 days. If both of them work together, then the number of days required to complete the work is?
Choices:
6 days
11 days
12 days
14 days
Answer: A
Question: 139 persons have signed up for an elimination tournament. All players are to be paired up for the first round, but because 139 is an odd number one player gets a bye, which promotes him to the second round, without actually playing in the first round. The pairing continues on the next round, with a bye to any player left over. If the schedule is planned so that a minimum number of matches is required to determine the champion, the number of matches which must be played is
Choices:
137
138
139
None of these
Answer: B
Question: A certain bacteria colony doubles in size every day for 21 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
Choices:
7.5
20
15
19
Answer: B
Question: The number of new words that can be formed by rearranging the letters of the word 'RAM' is ?
Choices:
5
120
6
8
Answer: A
Question: For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 50 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
Choices:
24%
25%
27%
31%
Answer: D
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
6 kmph
7 kmph
8 kmph
9 kmph
Answer: C
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
6
8
7/20
1
Answer: C
Question: A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.555 in all. For how many days was he absent?
Choices:
10
15
6
19
Answer: C
Question: The value of log2 16 is:
A.
1
8
B.	4
C.	8
D.	16
Answer: Option B
Explanation:
Choices:
4
6
8
12
Answer: A
Question: Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 11 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip?
Choices:
37
44
50
52.5
Answer: A
Question: The volume of a rectangular box is 330 square inches. The length on one side of the top is 11
inches, and the height of the box is 3 inches. What is the area of the top of the box? (A drawing
may help you with this one.)
Choices:
130
120
110
101
Answer: C
Question: In a room are five chairs to accommodate 3 people. One person to a chair. How many seating arrangements are possible?
Choices:
60
72
90
120
Answer: A
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years.What is the sum ?
Choices:
Rs. 8032.50
Rs. 8900
Rs. 8925
None of these
Answer: C
Question: The probability of pulling a black ball out of a glass jar is 1/W. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Choices:
E/Y
Y/X
1/(X+Y)
1/(X-Y)
Answer: A
Question: In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 75000*10^(-3) Petri dishes. How many germs live happily in a single dish?
Choices:
20
30
40
48
Answer: D
Question: An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 25 times the difference between the two numbers. How many coins did the old man have?
Choices:
26
30
25
40
Answer: C
Question: What is the greatest positive integer n such that 3^n is a factor of 36^100?
Choices:
200
300
600
900
Answer: A
Question: Mrs. Stark paid $6,000 for 100 shares of stock A and $4,000 for 100 shares of stock B. She later sold the same shares of both stocks, gaining 3/8 the amount she paid for stock B. If the prices she had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:
Choices:
A loss 1 1/2 times as much.
A loss 2 times as much.
A loss 9 times as much
A gain 1 1/2 times as much
Answer: D
Question: There are 300 seniors at Morse High School, and 50% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 25% of all the students at Morse have cars, how many students are in the three lower grades?
Choices:
500
1200
1350
1500
Answer: A
Question: Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
Choices:
29
39
42
43
Answer: B
Question: A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?
Choices:
3 (5/13)
3 (5/11)
3 (3/11)
33(5/11)
Answer: B
Question: professor absentminded has a very peculiar problem that he cannot remember number larger than 15. however he tells his wife, i can remember any number up to 100 by remembering the three numbers obtained as remainder when the numbers is divided by 3,7 and 11 respectively. for example (2,3,6)is 17. professor remembers that he had(2,4,8)rupees in the purse, and he paid(2,5,4) rupees to the servant. how much money is left in the purse?
Choices:
46
47
48
49
Answer: C
Question: Two trains, 130 and 110 metres long, while going in the same direction, the faster train takes one minute to pass the other completely. If they are moving in opposite direction, they pass each other completely in 3 seconds. Find the speed of trains.
Choices:
32 m/s, 48 m/s
40 m/s, 44 m/s
38 m/s, 42 m/s
None of these
Answer: C
Question: Mike earns $15 per hour and Phil earns $10per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?
Choices:
33.3%
37%
37.5%
40%
Answer: A
Question: x, y, and z are all unique numbers. If x is chosen randomly from the set {9, 10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not?
Choices:
1/12
2/15
3/10
1/7
Answer: A
Question: For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Choices:
xyz + xz
xy + z + 1
xyz + 1
xyz + 1/2
Answer: A
Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
75 kmph
30 kmph
80 kmph
85 kmph
Answer: A
Question: Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 6 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
Choices:
2
3
4
5
Answer: D
Question: If Rs. 600 amounts to Rs. 683.20 in two years compounded annually, find the
rate of interest per annum.
Choices:
4% p.a
6% p.a
7% p.a
8% p.a
Answer: D
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used?
Choices:
3
6
9
12
Answer: A
Question: The value of a watch depreciates at the rate of 20% every year. It was purchased 4 years ago. If its present value is Rs. 2048, its purchase price was
Choices:
4000
4500
5000
5500
Answer: C
Question: A coin is tossed six times. What is the probability that there is at the least one tail?
Choices:
63/64
31/18
31/10
31/19
Answer: A
Question: A Cistern is filled by pipe A in 9 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full?
Choices:
24 hrs
36 hrs
32 hrs
34 hrs
Answer: B
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
88
36
77
21
Answer: B
Question: The Number 3A2105 is divisible by 3.What will be the value of A?
Choices:
1
3
5
6
Answer: A
Question: Hardy and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 40 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?
Choices:
40
45
50
55
Answer: B
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 40% profit?
Choices:
230
960
780
896
Answer: D
Question: In what time will a train 140 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
3.5 sec
5 sec
12.5 sec
6 sec
Answer: A
Question: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following sequence are exactly equal. Which part is not equal to the other four? The number of that part is the answer
Choices:
10% of 5000 + 2⁄5 of 1200
80 × 40 – 20 × 110
8640 ÷ 60 + 53.5 × 16
5314 – 3029 – 1285
Answer: A
Question: Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?
Choices:
440
450
460
512
Answer: D
Question: A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?
Choices:
3 : 0
3 : 3
3 : 4
3 : 1
Answer: C
Question: In how many ways can 5 boys be allotted four different COTs such that none of the COTs are empty and all the 5 boys are accommodated?
Choices:
240
280
290
300
Answer: A
Question: 154 pencils are distributed to children with the same number. What can’t be the range including the number of children?
Choices:
50~60
20~30
1~10
70~80
Answer: A
Question: An employer has 5 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
Choices:
b) 132
c) 60
d) 68
e) 23
Answer: B
Question: In the recent, cyber security conference in London, out of 800 men, 900 women, 200 children present inside the building premises, 20% of the men, 30% of the women and 50% of the children were Indians. Find the percentage of people who were not Indian?
Choices:
72.11%
79.22
74.66
88.22
Answer: A
Question: Salesperson A's compensation for any week is $210 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
Choices:
$5500
$7500
$9500
$11,500
Answer: B
Question: If w and s are positive integers such that (2^w)(4^s) = 16, then 2w + s =
Choices:
3
4
5
6
Answer: C
Question: In the following sequence of alphabets, which letter would be at the middle of the fourth and sixteenth letters from the right ? A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Choices:
W
c)2^(1/2)
d)2^(3/2)
e)2^(1/4)
Answer: A
Question: The length of the room is 6m and width is 6m. Find the cost of paving the floor by slabs at the rate of Rs.200 per sq meter?
Choices:
6300
2700
7200
8000
Answer: C
Question: 12^3+12^3+12^3=?
Choices:
b) 72^4
c) 72^5
d) 72^6
e) 72^2
Answer: D
Question: What is the cost of leveling the field in the form of parallelogram at the rate of Rs.50/10 sq.metre, whose base & perpendicular distance from the other side being 54m & 24m respectively?
Choices:
Rs. 5500
Rs. 6000
Rs. 6480
Rs. 7680
Answer: C
Question: A and B can do a work in 20days, B and C in 25days, C and A in 30days. If A,B and C work together , they will complete the work in?
Choices:
12days
16days
20days
25days
Answer: B
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
88%
12%
89%
56%
Answer: B
Question: The speed of a boat in still water in 65 km/hr and the rate of current is 15 km/hr. The distance travelled downstream in 25 minutes is:
Choices:
44.44 km
33.33 km
22.22 km
11.11 km
Answer: B
Question: In each of the following questions, there are four options. The numbers, in these options, are alike in a certain manner. Only one number does not fit in. Choose the one which is different from the rest.
Choices:
24
54
36
25
Answer: A
Question: Machine P takes 40 hours longer than machine Q to produce 1080 Widgets. Machine Q produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine P produce
Choices:
65
2.5
11
4.5
Answer: D
Question: Calculate 469160 x 9999 = ?
Choices:
4691130840
4691100843
4586870843
NONE
Answer: A
Question: What is the ratio whose term differ by 45 and the measure of which is 2/7?
Choices:
B)16:56
C)16:63
D)32:39
E)41:52
Answer: B
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
Choices:
58.85kgs
58.95kgs
59kgs
59.85kgs
Answer: A
Question: Two trains, each 100 metre long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is
Choices:
60 km/hr
45 km/hr
75 km/hr
80 km/hr
Answer: A
Question: What is the decimal equivalent of (1/4)^6?
Choices:
0.0625
0.16
0.0002
0.5
Answer: C
Question: 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
Choices:
23
44
46
45
Answer: A
Question: what will be the next number in the following series??
2, 1, (1/2), (1/4),...
Choices:
1/8
2/8
1/16
3/8
Answer: A
Question: A money lender lent Rs. 1000 at 3% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 390. Find the number of years.
Choices:
3.75
4
3.9
4.5
Answer: C
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
210
230
240
280
Answer: B
Question: 0.0007?=0.01
Choices:
7
0.7
0.07
None of these
Answer: C
Question: Find the product of the localvalue and absolutevalue of 5 in 20568?
Choices:
2500
1200
5000
1600
Answer: A
Question: A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?
Choices:
266
288
200
111
Answer: C
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 21.6%. What would have been the percentage of profit earned if no discount was offered?
Choices:
28%
30%
56%
73%
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 72 m, find the area of the rectangle?
Choices:
356 sq m
243 sq m
428 sq m
528 sq m
Answer: B
Question: John bought 20 kg of wheat at the rate of Rs.8.50 per kg and 35 kg at the rate of Rs.8.75 per kg. He
mixed the two. Approximately at what price per kg should he sell the mixture to make 40% profit as the
cost price?
Choices:
Rs.12
Rs.16
Rs.20
None of these
Answer: A
Question: What least number should be added to 1024, so that the sum is completely divisible by 25?
Choices:
1
2
0
5
Answer: A
Question: What will be the compound interest on a sum of Rs. 23,000 after 3 years at the rate of 12% p.a.?
Choices:
Rs. 9313.34
Rs. 10123.20
Rs. 10483.20
None
Answer: A
Question: Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: F17, K22, __, U32, Z37, ... What number should fill the blank?
Choices:
O26
P27
Q28
R29
Answer: B
Question: Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 4 scones must be equal to which of the following?
Choices:
Y/10
100Y/(8X)
XY/200
Y/(5X)
Answer: A
Question: 20 men shake hands with each other. Maximum no of handshakes without cyclic handshakes.
Choices:
190
210
220
230
Answer: A
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 25%. What is the selling price of the cycle?
Choices:
s. 1050
s. 1190
s. 1202
s. 1204
Answer: A
Question: A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Choices:
Rs 662.01
Rs 662.02
Rs 662.03
None of these
Answer: B
Question: How many trailing Zeroes does 49! + 50! have?
Choices:
10
11
12
22
Answer: A
Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 12 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Choices:
31.5
33.75
35.0
37.5
Answer: C
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 82. How many points altogether did the team score?
Choices:
672
652
646
721
Answer: C
Question: Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $42 of gas?
Choices:
284
336
412
572
Answer: B
Question: Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 55 and the turban. Find the price of the turban.
Choices:
36
29
50
11
Answer: C
Question: Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 21 have taken the preparatory course and 42 have not taken the course. How many members are there in the swim club?
Choices:
60
80
90
140
Answer: C
Question: One-third less than 30% of 180 is equal to:
Choices:
30
36
40
45
Answer: B
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 3000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
Choices:
13,000
12,000
14,000
16,400
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120
288
266
2848
Answer: A
Question: Month	Average Price
per Dozen
April $1.2
May $1.20
June $3.3
The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
Choices:
1.9
2.04
2.13
2
Answer: C
Question: The speed of a train is 90 kmph. What is the distance covered by it in 12 minutes?
Choices:
18
77
52
42
Answer: A
Question: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time L will it take to fill the bucket to full capacity?
Choices:
9/18
2
18/7
18/5
Answer: C
Question: A 6% stock yields 8% . The market value of the stock is :
Choices:
75
298
27
29
Answer: A
Question: 220 metres long yard, 21 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2 consecutive trees
Choices:
12
14
11
17
Answer: C
Question: How many 5's are there preceded by 2 but not followed by 6?
5 9 3 2 1 2 6 7 4 9 2 5 2 1 3 2 8 2 5 1 3 8 3 2 5 6 2 5 3 9 5 8 2 0 1 8 7 4 6 3
Choices:
5
6
8
3
Answer: D
Question: How much more would Rs.60000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
725
992
1446
923
Answer: C
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 40 miles per hour and the remainder at 50 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
Choices:
300
1,100
3,000
20,000
Answer: D
Question: A train covers a distance of 14 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
m
m
m
m
Answer: B
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88 km
3 km
2 km
4 km
Answer: A
Question: What is the dividend. divisor 18, the quotient is 9 and the remainder is 3
Choices:
B)148
C)165
D)153
E)158
Answer: B
Question: A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
Choices:
6 km/hr
8 km/hr
14 km/hr
None of these
Answer: A
Question: A dishonest milkman sells a 40 liter mixture of milk and water that contains milk and water in the ratio of 3:1. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 20 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. What is the ratio of milk and water in the final mixture?
Choices:
1:1
2:3
3:2
5:3
Answer: A
Question: Due to construction, the speed limit along an 8-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
A) 4.99
C) 10
D) 15
E) 24
Answer: A
Question: John walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 10 hours 40 minutes. He would have gained 4 hours by driving both ways. How long would it have taken for him to walk both ways.
Choices:
11 h 10 min
14 h 40 min
10 h 10 min
9 h 45 min
Answer: B
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
5 %
12 %
16 %
20%
Answer: D
Question: The sum of present age of Abe and the age before 7 years is 33. Find the present age of Abe. What will be his age after 7 years?
Choices:
26
27
28
29
Answer: B
Question: A train 700m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Choices:
B)257kmph
C)162kmph
D)145kmph
E)100kmph
Answer: A
Question: A jar contains only red, yellow, and orange marbles. If there are 3 red, 5 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
Choices:
1/45
2/45
3/22
5/22
Answer: C
Question: One pump drains one-half of a pond in 2.5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Choices:
1.2 hour
3 hours
1.25 hours
6 hours
Answer: C
Question: 6x – 5y + 3z = 23
4x + 8y – 11z = 7
5x – 6y + 2z = 10
Given the equations above, x + y + z = ?
Choices:
12
13
14
15
Answer: B
Question: The sum of the present age of Henry and Jill is 40. What is their present ages if 8 years ago Henry was twice the age of Jill?
Choices:
16 and 24
18 and 22
11 and 29
none of these
Answer: A
Question: If ‘LONDON’ is coded as ‘KNMCNM’, then ‘INDIA’ is coded as
Choices:
RGTDF
HMCHZ
HTGCVH
POJYNMK
Answer: B
Question: Annika hikes at a constant rate of 10 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 45 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 45 minutes, for how many kilometers total did she hike east?
Choices:
3.625
4
4.5
5
Answer: A
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
2000
2667
2999
2122
Answer: A
Question: Out of three consecutive odd numbers eleven times the first number is equal to addition of thrice the third number and adding 16 to four times the second . What is the first number?
Choices:
6
7
8
9
Answer: D
Question: Rahul is a cashew merchant in Kerala. He has cashews in sealed wooden boxes of 10kg
each. The price of the cashew increases by Rs.20 per kg for every year, but at the same
time, 10% of the cashews are eaten by rodents every year. If the price of a 1 kg of fresh
cashew is Rs.100, what is the change in his profits if he sells a sealed box after one year of
storage, rather than selling it fresh? (In Rs.)
Choices:
64 less
80 more
80 less
90 less
Answer: B
Question: Rs.8000 become Rs.10210 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
7
5
3
4
Answer: B
Question: 34.	The side surface of a cylinder is rolled with a rectangle. If the height of a cylinder is 16 feet and the perimeter of the circular base. Is 12 feet, what is the diagonal of the rectangle?
Choices:
20
18
22
21
Answer: A
Question: If 30% of 100 is greater than 50% of a number by 10, then the number is?
Choices:
40
60
80
50
Answer: A
Question: If A lends Rs.2000 to B at 15% per annum and B lends the same sum to C at 17% per annum then the gain of B in a period of 4 years is?
Choices:
162
157.5
160
157.12
Answer: C
Question: What is the speed of the train?
I.The train crosses a signal pole in 18 seconds.
II.The train crosses a platform of equal length in 36 seconds.
III.Length of the train is 330 metres.
Choices:
II and III only
I and III only
III and either I or II only
Any two of the three
Answer: C
Question: Three grades of milk are 1 percent, 2 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
Choices:
y + 3z
2y + 3z
3y + z
3y + 4.5z
Answer: A
Question: A solution of 60 ounces of sugar and water is 20% sugar. How much water must be added to make a solution that is 5% sugar?
Choices:
80 ounces
100 ounces
120 ounces
180 ounces
Answer: D
Question: In how many ways can the letters of the word SPENCER be arranged if the S and P must always be together and the N and C must always be together?
Choices:
24
60
120
240
Answer: D
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 26 seconds. The ratio of their speeds is?
Choices:
9/1
3/3
3/5
5/2
Answer: A
Question: A person has to make 146 pieces of long bar. he take $ seconds to cut piece.what is total time taken by him to make 146 pieces?
Choices:
580 seconds
500 seconds
540 seconds
560 seconds
Answer: A
Question: The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 32 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
Choices:
21.3 litres
11 litres
07 litres
38 litres
Answer: A
Question: The cost price of 14 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
27 3/11%
18 2/91%
12 2/11%
Answer: B
Question: There are 7 Physics and 1 Chemistry book in shelf A and 5 Physics books in Shelf B, one book is moved from shelf A to shelf B. A student picks up a book from shelf B. Find the probability that the Chemistry book is taken by the student.
Choices:
1/8
1/48
5/48
5/6
Answer: B
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
27
40
77
21
Answer: B
Question: Two pipes A and B can fill a tank in 50hour and 75 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
20hrs
25hrs
30hrs
32hrs
Answer: C
Question: A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
Choices:
240
280
160
200
Answer: A
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
16 3/3%
16 2/3%
16 2/9%
12 2/3%
Answer: B
Question: The average (arithmetic mean) of six numbers is 10. If 3 is subtracted from each of four of the numbers, what is the new average?
Choices:
2
3
8
4.5
Answer: C
Question: The speeds of 3 trains in the ratio 2:4:6. The ratio between time taken by them to travel the same distance is?
Choices:
1:2:3
4:8:9
6:3:2
4:8:7
Answer: C
Question: How many diagonals does a 62-sided convex polygon have?
Choices:
1829
3458
3843
4820
Answer: A
Question: The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 7 years, son's age will be:
Choices:
14 years
18 years
20 years
21 years
Answer: D
Question: A person travels from P to Q a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Choices:
62.5
48
99
21
Answer: A
Question: Express 5 mps in kmph?
Choices:
88
90
18
24
Answer: C
Question: In your classes you counted 126 hands. How many students were at the class?
Choices:
63
85
86
88
Answer: A
Question: A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after 1year service. He served only for 9 months and receiveduniform and Rs.650, find the priceof the uniform?
Choices:
Rs.100
Rs.120
Rs.150
Rs.160
Answer: A
Question: In a certain voting district, 40 percent of registered voters live in Town A and the rest live in Town B. In the last election, 70 percent of the registered voters from Town A voted. If equal numbers of registered voters from both towns voted, approximately what percent of the registered voters from Town B voted?
Choices:
47%
42%
34%
28%
Answer: A
Question: A volunteer organization is recruiting new members. In the fall they manage to increase their number by 4%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
Choices:
15.76%
14.14%
13.13%
12.12%
Answer: A
Question: Alicia lives in a town whose streets are on a grid system, with all streets running east-west or north-south without breaks. Her school, located on a corner, lies three blocks south and three blocks east of her home, also located on a corner. If Alicia s equally likely to choose any possible path from home to school, and if she only walks south or east, what is the probability she will walk south for the first two blocks?
Choices:
1/5
1/6
1/7
2/5
Answer: A
Question: There are 4 more women than men on Centerville's board of education. If there are 4 members on the board, how many are women?
Choices:
4
6
7
8
Answer: A
Question: If O is the center of the circle in the figure above and the area of the unshaded sector is 5, what is the area of the shaded region?
Choices:
30/√π
20
25
30
Answer: C
Question: What quantity of water should taken out to concentrate 27 liters of 40% acidic liquid to 60% acidic liquid?
Choices:
10liters
15liters
9liters
6liters
Answer: C
Question: A rectangular grass field is 75 m * 55 m, it has a path of 3.2 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
s.1327
s.1328
s.1364
s.1927
Answer: C
Question: Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?
I. 6
II. 12
III. 24
Choices:
I, II, and III
II and III only
I and III only
II only
Answer: A
Question: A 240 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
Choices:
260m
230m
240m
250m
Answer: A
Question: A rower can row upstream at 7 km/hr and downstream at 15 km/hr. What is the rower's rate in still water?
Choices:
10 km/hr
11 km/hr
12 km/hr
13 km/hr
Answer: B
Question: If W is the set of all the integers between 49 and 88, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Choices:
44
48
28
26
Answer: D