antoine-444/aqua_rat_dataset huggingface dataset:
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Choices:
77
99
80
21
Answer: C
Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
162 km
6 km
87 km
15 km
Answer: A
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10
99
73
23
Answer: A
Question: Water is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour. If the empty rectangular tank is 6 feet long, 4 feet wide, and 3 feet deep, approximately how many hours does it take to fill the tank?
Choices:
18
20
22
24
Answer: A
Question: The salary of a worker is first increased by 40% and afterwards reduced by 40%. What is the net change in the worker's salary?
Choices:
8% increase
16% decrease
16% increase
no change
Answer: B
Question: In September, John sold 2323 more soap than in February. In November, he sold 5 percent more than in September. John's November sales were what percent greater than his February sales?
Choices:
65%
214/3 %
75%
514/3%
Answer: C
Question: Two sets A and B consists only of positive integers such that mean of set A is 45 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>
Choices:
[B] 60
[C] 70
[D] 55
[E] cannot be determined
Answer: D
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
378
20
27
121
Answer: B
Question: At a special sale, 9 tickets can be purchased for the price of 6 tickets. If 9 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 9 tickets?
Choices:
33.3%
40%
60%
66.6%
Answer: A
Question: In a group containing 6 cows and 4 buffalos, 4 livestock are to be selected in such a way that at least 1 cow should always be present. How many way of doing that are possible?
Choices:
209
297
161
108
Answer: A
Question: If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :
Choices:
153.6008
153.6003
153.6001
153.6022
Answer: B
Question: Alex takes a loan of $5,000 to buy a used truck at the rate of 2 % simple Interest.Calculate the annual interest to be paid for the loan amount.
Choices:
100
720
200
750
Answer: A
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
998 m
55 m
100 m
44 m
Answer: C
Question: A merchant marks goods up by 60% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 20%. What % discount did the merchant offer?
Choices:
25%
30%
35%
40%
Answer: A
Question: Find the one which does not belong to that group ?
Choices:
43
53
47
57
Answer: D
Question: The cubic f(x) = x3 +bx2 +cx+d satisfies f(1) = 3, f(2) = 6, and f(4) = 12. Compute f(3).
Choices:
7
8
9
10
Answer: A
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 54, what is the total amount?
Choices:
234
117
118
119
Answer: A
Question: The edge of a cube is 6a cm. Find its surface?
Choices:
216a2
24a1
24a2
24a7
Answer: A
Question: The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Choices:
18
7
45
4
Answer: D
Question: 2, 7, 14, 23, ?, 47
Choices:
28
34
33
32
Answer: B
Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
Choices:
45 kg
53 kg
55 kg
NOne
Answer: A
Question: If a certain sample of data has a mean of 20.0 and a standard deviation of 2.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
12.0
17.0
23.5
26.5
Answer: A
Question: Henry answered 3/5 of the questions he was given for homework in the first hour, 5/19 of the remaining questions in the second hour and the remaining x questions in the third hour where x is an integer. How many questions was Henry given for homework?
Choices:
(95/7)*x
(95/14)*x
(95/21)*x
(95/28)*x
Answer: D
Question: a grazing land have length 200m and breadth 50m.there is grass 0.5kg/m2.
a cow graze 20kg grass daily.if cow graze for 20days.so after 20 days calculate the percentage of grass filled area.
Choices:
92
95
85
80
Answer: A
Question: The product of three consecutive numbers is 120. Then the sum of the smallest two numbers is ?
Choices:
9
20
38
56
Answer: A
Question: If a*b denotes the greatest common divisor of a and b, then ((16*20)*(18*24)) = ?
Choices:
12
6
4
2
Answer: D
Question: A money lender lent Rs. 800 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. 350. Find the number of years.
Choices:
3.72
4
4.25
4.5
Answer: A
Question: If the sum of the 4th term and the 12th term of an arithmetic progression is 8, what is the sum of the first 15 terms of the progression?
Choices:
60
160
240
840
Answer: A
Question: If k is the sum of the digits of integer m, and m=12n, where n is an integer, which of the following must be true?
Choices:
The sum of the digits of k is divisible by 3
m is a multiple of 2k
k is a multiple of 9
k is a multiple of 6
Answer: A
Question: A certain roller coaster has 2 cars, and a passenger is equally likely to ride in any 1 of the 2 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 2 times, what is the probability that the passenger will ride in each of the 2 cars?
Choices:
1/2
2/9
1/3
1
Answer: A
Question: A train passes a bridge in 40 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
400
150
300
450
Answer: C
Question: Six women can do a work in 10 days. Ten men can complete the same work in 4 days. What is the ratio between the capacity of a man and a woman?
Choices:
2:1
2:3
3:2
None of these
Answer: C
Question: How many pounds of salt at 70 cents/lb must be mixed with 45 lbs of salt that costs 40 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?
Choices:
9
40
50
25
Answer: A
Question: A car covers a certain distance at a speed of 40 kmph in 5 hours. To cover the same distance in 2 hr, it must travel at a speed of?
Choices:
100 km/hr
782 km/hr
789 km/hr
720 km/hr
Answer: A
Question: If n ≠ 0, which of the following must be greater than n?
I. 2n
II. 2 - n
III. n^2
Choices:
II only
I and II only
II and III only
None
Answer: D
Question: The product of two numbers is 266 and their difference is 5. What is the bigger number ?
Choices:
26
26
19
72
Answer: C
Question: If a trader sold two cars each at Rs. 325475 and gains 14% on the first and loses 14% on the second, then his profit or loss percent on the whole is?
Choices:
1.74%
1.84%
1.96%
1.24%
Answer: C
Question: The average (arithmetic mean) weight of 5 friends is 150 pounds. If Joanne leaves the group and the new average of the group is 162 pounds. What is Joanne's weight?
Choices:
78
102
105
110
Answer: B
Question: Rob also compared the Empire State Building and the Petronas
Towers. What is the height difference between the two if the Empire
State Building is 443m tall and the Petronas Towers is 452m tall?
Choices:
9
23
45
12
Answer: A
Question: If $10 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choices:
10n(x/100)
10,000n(x/100)
10,000(1+x/100)^n
10,000n(1+x/100)
Answer: A
Question: 40 people are sitting around a circular table. Starting from 1 every 2nd person is killed. This process continues till only one person remains. How is the survivor? (Josephus riddle)
Choices:
17
88
237
121
Answer: A
Question: There are X girls in a class, and their average height is E inches. In the same class, there are Y boys with an average height of F inches. What is the average height of all the students in the class?
Choices:
(M + N)/(X + Y)
(XM + YN)/(M + N)
(XE + YF)/(X + Y)
MN/XY
Answer: C
Question: Find the sum of first 35 odd numbers
Choices:
3000
1250
1200
1225
Answer: D
Question: In a class of 25 students, 2 students did not borrow any books from the library, 10 students each borrowed 1 book, 8 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ?
Choices:
10
12
13
15
Answer: B
Question: AB + CD = JJJ, where AB and CD are two-digit numbers and JJJ is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Choices:
3
7
9
Cannot be determined
Answer: C
Question: A single discount equivalent to the discount series of 20%, 15% and 5% is?
Choices:
35.4
31.6
31.1
31.5
Answer: A
Question: 325.124 x 12.98 Ã· 3.001 + 21.21 = ?
Choices:
1430.08
781.189
656.112
456.512
Answer: A
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
Choices:
40
18
19
11
Answer: A
Question: Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 19,000, what is Suresh's share?
Choices:
s. 7125
s. 9125
s. 9372
s. 9875
Answer: A
Question: The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is?
Choices:
12
77
85
65
Answer: A
Question: 10 x 0.5 = ?
Choices:
0.001
0.01
0.1
5
Answer: D
Question: If (t-8) is a factor of t^2-kt-43, then k=
Choices:
12
2
3
14
Answer: C
Question: If there are 6 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
Choices:
24
56
144
160
Answer: D
Question: Find the compound interest on Rs. 10000 at 12% rate of interest for 1 year, compounded half-yearly
Choices:
Rs. 1236
Rs. 1186
Rs. 1206
Rs. 1226
Answer: A
Question: In how many no. between 100 and 1000 exactly one of the digits is 3?
Choices:
512
252
225
26
Answer: C
Question: a manufacturing company has 15% cobalt ,25% led and 60% of copper. if 5kg of led is used in a mixture how much copper we need to use
Choices:
12 kg
22 kg
14 kg
15 kg
Answer: A
Question: A boy has nine trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
98
106
135
111
Answer: C
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
8.2 km/hr.
7.2 km/hr.
3.2 km/hr.
4.2 km/hr.
Answer: B
Question: The expression (3x-2)/(x+3) is equivalent to which of the following?
Choices:
5 – (2/3)
3 – (11)/(x+3)
5 – (17)/(x+3)
5 + (17)/(x+3)
Answer: B
Question: A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
Choices:
36 1/2
37 1/2
38 1/2
39 1/2
Answer: B
Question: In a 100m race, Sam beats John by 4 seconds. On the contrary, if Sam allowed John to start 24m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?
Choices:
25 seconds
19 seconds
21 seconds
6.25 seconds
Answer: B
Question: A sum of 13,400 amounts to 14,400 in 2 years at the rate of simple interest. What is the rate of interest?
Choices:
1%
6%
4%
8%
Answer: C
Question: The rate of Interest on a sum of money is 5% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is
Choices:
1,500
2,100
2,250
2,540
Answer: A
Question: Find 60/42*4
Choices:
0.5897
3.6974
0.3571
1.2587
Answer: C
Question: A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5/7
33
35
37
Answer: A
Question: When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 732 more than 4times the middle integer. Find the numbers?
Choices:
732
698
710
729
Answer: A
Question: A certain company retirement plan has arule of 70provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1989 on her 32nd birthday first be eligible to retire under this provision?
Choices:
2008
2005
2006
2007
Answer: A
Question: A and B complete a work in 10 days. A alone can do it in 14 days. If both together can do the work in how many days?
Choices:
5.8 days
4.5 days
4.7 days
5.75 days
Answer: A
Question: 10 men, working 8 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
Choices:
5 hours a day
6 hours a day
7 hours a day
8 hours a day
Answer: D
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12300 after a year?
Choices:
3690
3630
3631
3635
Answer: A
Question: At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 11 months?
Choices:
3^2
2(3^10)
3(2^11)
3(10^2)
Answer: C
Question: If n is the product of three consecutive integers, and n is divisible by 5, which of the following is not necessarily a divisor of n ?
Choices:
210
230
240
250
Answer: A
Question: If 280 people, constituting 5 percent of the population of a town, ride bicycles, and the others do not, then how many people in the town do not ride bicycles?
Choices:
5600
5320
5110
4980
Answer: B
Question: In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
11 km/hr
10 km/hr
8 km/hr
15 km/hr
Answer: A
Question: 50 square stone slabs of equal size were needed to cover a floor area of 72 sq.m. Find the length of each stone slab?
Choices:
120cm
88cm
666cm
776cm
Answer: A
Question: If the average (arithmetic mean) of a and b is 45 and the average of b and c is 70, what is the value of c − a?
Choices:
50
90
140
It cannot be determined from the information given.
Answer: D
Question: If one of the followings is the product of the two 3-digit integers 8K1 and 6L5 (K and L denote the tens digit of the respective integers), then that product must be
Choices:
511,913
531,875
538,424
569,114
Answer: B
Question: If a: b = 6:4, b: c =7: 8, find a: b: c?
Choices:
42: 28: 36
42: 28: 38
42: 28: 32
22: 28: 32
Answer: C
Question: An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. How many steps are visible when the escalator is not operating?
Choices:
90
100
110
120
Answer: B
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is :
Choices:
Rs. 690
Rs. 650
Rs. 698
Rs. 690
Answer: C
Question: Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of m crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of m?
Choices:
x
3m/2
mx
mx
Answer: D
Question: The area of a triangle is with base 4m and height 5m?
Choices:
10 sq m
5 sq m
3 sq m
12 sq m
Answer: A
Question: A sum of money at simple interest amounts to $ 700 in 3 years and to $764 in 4 years. The sum is:
Choices:
$508
$398
$549
$675
Answer: A
Question: A train 700 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:
468 m
600 m
667 m
781 m
Answer: B
Question: A grocer has a sale of Rs. 4000, Rs. 6524, Rs. 5689, Rs. 7230 and Rs. 6000 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7000?
Choices:
s. 12557
s. 15560
s. 12589
s. 12500
Answer: A
Question: 3 cooks have to make 80 burgers. They are known to make 20 pieces every minute working together.The 1st cook began workin alone and made 20 pieces having worked for sometime more than 3 mins.The remaining part of the work was done by second and 3rd cook working together.It took a total of 8 minutes to complete the 80 burgers.How many minutes would it take the 1st cook alone to cook 160 burgers?
Choices:
24 mins
32 mins
40 mins
30 mins
Answer: B
Question: A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is?
Choices:
3
4
45
4
Answer: A
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:1
1:3
3:1
None of these
Answer: A
Question: An engineer undertakes a project to build a road 10 km long in 300 days and employs 30 men for the purpose. After 100 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Choices:
25
30
35
40
Answer: B
Question: What is the least number of square tiles required to pave the floor of a room 11 m 50cm long and 1m 50 cm broad?
Choices:
804
69
844
None
Answer: B
Question: Mrs. Evans gave a test to her freshmen economics class, which has 29 students enrolled and 24 of them answered question 1 correctly. If 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?
Choices:
19
22
20
19
Answer: B
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x + 2y) is negative integer
II. (xy)^2 is negative integer
III. (y^2 - x) is negative integer
Choices:
None of these
II only
IIIonly
I,II only
Answer: A
Question: How many positive even integers less than 100 contain digits 3 or 7?
Choices:
17
18
10
20
Answer: C
Question: A school has only four classes that contain 10, 20, 30 and 40 students respectively. The pass percentage of these classes are 20%, 30%, 60% and 100% respectively. Find the pass % of the entire school.
Choices:
76%
34%
66%
None of these
Answer: C
Question: Today is Jack's birthday. One year, from today he will be twice as old as he was 13 years ago. How old is Jack today ?
Choices:
24 years
25 years
26 years
27 years
Answer: D
Question: Peter brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of $ 1100. How much did he spend on repairs if he made a profit of 20%?
Choices:
200
300
400
500
Answer: D
Question: Find the odd man out
4, 16, 25, 36, 42, 64
Choices:
25
42
95
4
Answer: B
Question: The average weight of a group of boys is 30 kg. After a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
8
5
2
9
Answer: C
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.2
1.9
1.5
1.1
Answer: C
Question: Which of the following lines has x-intercept and y-intercept that are integers Q?
Choices:
y=√x+1
y=-2/x
y=x^2-1
xy=1
Answer: C
Question: if a^2+b^2=177and ab=54 then find the value of a+b/a-b?
Choices:
5
6
3
7
Answer: A
Question: A bag contains 50 p, 25 P and 10 p coins in the ratio 5: 9: 4, amounting to
Rs. 206. Find the number of coins of each type.
Choices:
174
160
163
135
Answer: B
Question: The average of 10 numbers is 23. If each number is increased by 4, what will the new average be?
Choices:
27
19
16
87
Answer: A
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 5 of the slips are the drawn, without replacement, what is the probability that all 5 have a even number written on it?
Choices:
1/252
1/8
1/2
5/9
Answer: A
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
Choices:
81 : 121
81 : 120
81 : 125
81 : 122
Answer: A
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 15% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Choices:
10%
15%
25%
30%
Answer: B
Question: Ayesha’s father was 38 years of age when she was born while her mother was 34 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
8 years
None
Answer: C
Question: The ratio of boarders to day students at a school was originally 2 to 5. However, after a number of new boarders join the initial 60 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
Choices:
15
20
24
30
Answer: A
Question: Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $100 and $105 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
Choices:
720
1000
1200
1440
Answer: B
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1305, find the loss %?
Choices:
13%
17%
78%
28%
Answer: A
Question: Solve below question 2x + 1 = -19
Choices:
-9
9
8
-10
Answer: D
Question: Tom invested Rs. 15000 @ 8% per annum for two years. If the interest is compounded half-yearly, then the amount received by Tom at the end of the year will be?
Choices:
17,547.40
17,547.88
17,548.32
17,548.80
Answer: B
Question: A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $45000 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?
Choices:
6
9
10
15
Answer: A
Question: There are 9 points marked on the circumference of a circle. How many hexagons can be formed by connecting 6 points of the 9 points?
Choices:
84
88
90
92
Answer: A
Question: To prepare cake of type A, it requires 4 eggs. While to prepare cake of type B, it requires 6 eggs. If there are 30 eggs available, and at least one cake of each type needs to be prepared, maximum how many cakes can be prepared of type B?
Choices:
2
3
4
5
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:
11
36
17
12
Answer: B
Question: If X = 2 + 1/(1+1/(1-1/2))then the value of 4x+7/3
Choices:
15 2/3
18 2/3
11 2/3
17 2/3
Answer: C
Question: A thief goes away with a SANTRO car at a speed of 30 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start?
Choices:
1 hours
2/3 hours
1/3 hours
2/5 hours
Answer: A
Question: The ratio of two quantities is 10 : 7. If each of the quantities is increased by 2, their ratio changes to 15:11 then the greatest number is?
Choices:
12
15
16
20
Answer: C
Question: The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Choices:
94
184
364
512
Answer: C
Question: If x^2 + 9/x^2 = 22, what is the value of x - 3/x
Choices:
25
9
5
4
Answer: D
Question: College T has 1000 students. Of the 300 students majoring in one or more of the sciences,150 are majoring in Chemistry and 180 are majoring in Biology. If at least 60 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from?
Choices:
60 to 150
30 to 150
60 to 140
70 to 130
Answer: B
Question: A certain class of students is being divided into teams. The class can either be divided into 18 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
Choices:
36
48
60
72
Answer: D
Question: Sukhbir is taller than Randhir but not as tall as Ajit. If Manoj is taller than Nitin, who is shorter than Ajit, then who among them is the shortest?
Choices:
Sukhbir
Manoj
Data inadequate
None of these
Answer: C
Question: Students are in clubs as follows: Science-20, Drama-30, and Band-12. No student is in all three clubs, but 8 are in both Science and Drama, 6 are in both Science and Band, and 4 are in Drama and Band.
How many different students are in at least one of the three clubs?
Choices:
38
42
44
48
Answer: C
Question: Find the odd man out.
8, 20, 14, 21, 16, 28, 32
Choices:
21
8
28
14
Answer: A
Question: Find the odd man out. 21, 28, 35, 42, 49, 51, 56
Choices:
28
35
42
51
Answer: D
Question: A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:
Choices:
3:5
4:5
16:15
12:13
Answer: C
Question: In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 4720 votes were polled, then how many valid votes did B get?
Choices:
1534
2834
2777
2991
Answer: A
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
28
29
20
21
Answer: C
Question: A man invested an amount of Rs.8000 in a fixed deposit scheme for 2 years at compound interest of 5% per annum. How much amount will Albert get on maturity of the fixed deposit ?
Choices:
Rs.8620
Rs.8820
Rs. 8840
Rs. 8940
Answer: B
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $211?
Choices:
2,100
2,108
2,124
2,180
Answer: D
Question: Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 5 kg of fresh grapes?
Choices:
2.4 kg
2.5 kg
10 kg
0.625
Answer: D
Question: Find the number of shares that can be bought for Rs.8800 if the market value is Rs.20 each with brokerage being 2.5%.
Choices:
429.3
177
166
111
Answer: A
Question: A fast food restaurant sells chicken in orders of 6, 9, and 20.
What is the largest number of pieces of chicken you cannot order from this restaurant?
Choices:
33
43
53
63
Answer: B
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.50. If the company’s latest order required a truck with at least 384,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Choices:
$3,000
$1,725
$2,050
$2,250
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:
456
467
489
512
Answer: D
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
Choices:
50%
80%
70%
53%
Answer: A
Question: Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
Choices:
16 hrs
15 hrs
12 hrs
10 hrs
Answer: A
Question: A & B started one company. They invest Rs. 1,00,000/- each. They deposit the money to Bank. Bank give 1% interest per month. After 2 years B left from company and asked A to return the money with interest. A says it will take time to release the FD and he assure B to give the money withinterest @0.5%. B Agreed this. What is the profit of A?
Choices:
12000
36000
24000
30000
Answer: B
Question: At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses T at the restaurant? (Assume that all boxes are filled to capacity.)
Choices:
240
T=256
T=384
T=480
Answer: D
Question: A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $400 before any discount?
Choices:
$224.00
$263.80
$282.00
$210.00
Answer: A
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 20 hrs and a machine of type S does the same job in 30 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
5
6
8
9
Answer: B
Question: A letter lock consists of three rings each marked with nine different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choices:
178
728
789
770
Answer: B
Question: How many words can be formed using the letters of the word “COMPANY”?
Choices:
2434
3243
3435
5040
Answer: D
Question: The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
Choices:
8 months
9 months
10 months
15 months
Answer: C
Question: On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the divisor.
Choices:
179
37
67
32
Answer: A
Question: For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 6*+2 and 6*+6, inclusive ?
Choices:
None of the above
2
3
4
Answer: A
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
Choices:
90 sec
85 sec
80 sec
None of these
Answer: A
Question: Two cars cover the same distance at the speed of 32 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
38
64
83
93
Answer: B
Question: The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 85 kg. What is the weight of the new person?
Choices:
85 kg
95 kg
65 kg
105 kg
Answer: D
Question: A Steel 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 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
4
6
9
12
Answer: A
Question: Of the integers between 200 and 799, inclusive, how many do not have digit 2 and 7?
Choices:
256
410
426
520
Answer: A
Question: 3x^2-6x+3 = 0 Find the above equation find the value of x
Choices:
1
2
3
4
Answer: A
Question: In a parallelogram, the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively. Find its area
Choices:
600 m2
680 m2
574 m2
None of these
Answer: A
Question: The average of 7 numbers is 24. If each number be multiplied by 5. Find the average of new set of numbers?
Choices:
122
120
125
145
Answer: B
Question: In a college election between two rivals, a candidate who got 40% of the total votes polled, was defeated by his rival by 160 votes. The total number of votes polled was
Choices:
800
700
600
None of these
Answer: A
Question: Krishan and Nandan jointly started a business. Krishan invested four times as Nandan did and invested his money for trible time as compared to Nandan. If the gain is proportional to the money invested and the time for which the money is invested and the total gain was Rs.26000, find the Nandan's earning.
Choices:
1000
5000
3000
2000
Answer: D
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $44. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
9xy/40
40xy/9
396xy
396/(xy)
Answer: D
Question: The ratio of two speeds of two trains is 3 to 4. If each of the trains slows its speed 5 km/ hr, what will be the ratio of these two train speeds ?
Choices:
8/9
18/19
23/24
It cannot be determined from the information given
Answer: D
Question: The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
Choices:
94
39
87
58
Answer: A
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 55 percent of the pack would be outfielder cards?
Choices:
5
6
7
8
Answer: A
Question: A man can row upstream at 20 kmph and downstream at 80 kmph, and then find the speed of the man in still water?
Choices:
50 kmph
30 kmph
45 kmph
65 kmph
Answer: A
Question: In an office, 30 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Choices:
48
50
144
160
Answer: A
Question: 9.5 , 9.8 , 9.9 , 9.9 , 9.9 , 10.2 , 10.3 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.296 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
Choices:
85.60%
80%
75.25%
62.5%
Answer: D
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
8
1
6
1.5
Answer: D
Question: A,B,C can complete a piece of work in 24,8,12 days. Working together, they complete the same work in how many days?
Choices:
4
7/9
10
24/7
Answer: A
Question: The sum and the product of two numbers are 16 and 15 respectively, the difference of the number is?
Choices:
14
7
8
2
Answer: A
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 17 years replaced by a new boy. The age of the new boy is?
Choices:
15 years
13 years 8 months
17 years 10 months
17 years
Answer: B
Question: There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 55% play football, how many play both?
Choices:
150
200
180
160
Answer: C
Question: A certain team consists of 3 professors and 6 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
Choices:
52
56
60
64
Answer: D
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
3/5
3/7
3/8
Answer: A
Question: A five digit number is to be formed using each of the digits 1, 2, 3, 4 and 5 ONLY ONCE. How many numbers can be formed when 1 and 2 are not together ?
Choices:
36
72
60
120
Answer: B
Question: A certain number X when divided by 253 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?
Choices:
27
27
47
57
Answer: B
Question: During a Pizza buffet where A eats more times 2.4 than B, and B eats 6 times less than C.find the leat number of times all the three has to eat
Choices:
60
70
80
85
Answer: A
Question: X and Y together can completes a work in 12 days and Y complete the same work in 24 days. Then the number of days X required to complete the work will be?
Choices:
12 days.
24 days.
13 days.
16 days.
Answer: B
Question: If the average (arithmetic mean) of a and b is 215, and the average of b and c is 160, what is the value of a − c?
Choices:
−100
100
110
It cannot be determined from the information given
Answer: C
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 27 m * 2 m * 0.75 m?
Choices:
27000
27891
25000
18771
Answer: A
Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 20 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
Choices:
32 lakh
40 lakh
60 lakh
None of these
Answer: A
Question: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 8 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Choices:
20
18
12
6
Answer: C
Question: Meera is making telescopes, each consisting of 2 lenses, 1 tube, and 1 eyepiece. Lenses can be purchased only in packs of 50, tubes only in packs of 10, and eyepieces only in packs of 30. However, half of the lenses in each pack are not usable for telescopes. If all parts are used only for the telescopes, what is the minimum number of lenses Meera must purchase to make a set of telescopes with no leftover components other than the unusable lenses?
Choices:
150
300
3600
7,500
Answer: C
Question: Which of the following expressions CANNOT have a negative value
Choices:
|a + b| + |a|
|2a + b| – |a + b|
a^2 - b^2 – 2|ab|
|a^3 + b^3| – a – b
Answer: A
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 210 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
672
560
192
1680
Answer: C
Question: On Wednesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
Choices:
Wednesday
Thursday
Friday
Sunday
Answer: D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 16 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:9
4:4
4:2
Answer: D
Question: 26 : 62 :: 32:?
Choices:
25
36
64
23
Answer: D
Question: What least number must be subtracted from 9671 so that the remaining number is divisible by 5?
Choices:
4
3
2
1
Answer: D
Question: Harkamal purchased 8kg of grapes at the rate of 80 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
A)1135
C)1065
D)1070
E)1080
Answer: A
Question: A property was originally on a 99 years lease and two thirds of the time passed is equal to the four fifth of the time to come.how many years are there to go.
Choices:
80
79
27
111
Answer: A
Question: Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 40% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
Choices:
$40
$50
$80
$60
Answer: D
Question: Find out the square of a number which when doubled exceeds its one sixth by 11 ?
Choices:
36
19
26
17
Answer: A
Question: A dinner has 2 coffee pitchers; Each can hold 8 cups of coffee. During Monday's morning rush, a customer orders 10 cups of coffee. At the time this customer orders the coffee, one coffee pitcher is 1/4 full while the other is 3/8 full. How much of the customer's order can be filled without making more coffee.
Choices:
5/8
3/4
2/3
1/2
Answer: D
Question: A family has two children. find the probability that both the children are boys given that at least
one of them is a boy?
Choices:
1/3
1/7
2/7
2/9
Answer: A
Question: Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.1,80,000 earned at the end of 3 years from the start of the business in 1999?
Choices:
Rs 60000
Rs 70000
Rs 75000
None
Answer: A
Question: A picnic attracts 240 persons. There are 30 more men than women, and 30 more adults than children. How many men are at this picnic?
Choices:
75
85
130
200
Answer: B
Question: If a boat goes 8km upstream in 80 minutes and the speed of the stream is 5 kmph, then the speed of the boat in still water is ?
Choices:
9
10
11
12
Answer: C
Question: A car runs 375 km in 3 hours. What's the car's speed?
Choices:
125
126
127
None
Answer: A
Question: The ratio of spinsters to cats is 2 to 7. If there are 35 more cats than spinsters, how many spinsters are there?
Choices:
14
28
35
42
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.
Choices:
120 meter
100 meter
90 meter
105 meter
Answer: B
Question: Find the missing figures: 0.1% of ? = 0.24
Choices:
120
24
240
36
Answer: C
Question: Two cubes of their volumes in the ratio 64 : 343. The ratio of their surface area is:
Choices:
2:5
3:5
1:5
4:7
Answer: D
Question: A person took some amount with some interest for 4 years, but increase the interest for 1%, he paid Rs.160/- extra, then how much amount he took?
Choices:
Rs.6000/-
Rs.4000/-
Rs.7000/-
None of these
Answer: B
Question: A shopkeeper sold an article at $100 with 10% profit. Then find its cost price?
Choices:
$100
$91
$72
$69
Answer: B
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
3
3.5
4
4.5
Answer: A
Question: The difference between the place values of 8 and 3 in the number 587435 is
Choices:
79970
75460
24580
None
Answer: A
Question: Car Dealership X, the total profit from sales increased by 10 percent over the previous years, while the number of cars sold decreased by 10 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
Choices:
20%
22%
23%
25%
Answer: B
Question: At Parkins gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
Choices:
24
36
48
96
Answer: A
Question: In a 1300 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Choices:
65 sec.
25 sec
Data not sufficient
None of these
Answer: A
Question: If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
11 1/5%
11 1/9%
11 2/9%
11 1/4%
Answer: B
Question: If a man buys 40 purse for $110 and sold them for $3 dollars each determine his gain.
Choices:
$ 10
$ 30
$ 5
$ 25
Answer: A
Question: How many such letter-pairs are there in the word BONAFIDE having same number of letters left between them as they have in the series?
Choices:
3
4
1
None of these
Answer: D
Question: A rectangular field is 72 yards long and 33 yards wide. A fence is needed for the perimeter of the
field. Fencing is also needed to divide the field into three square sections. How many feet of fencing
are needed? (It is a good idea to make a drawing for this one.)
Choices:
830 ft
430 ft
828 ft
830 ft
Answer: C
Question: Winson leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Winson, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Winson is 30 km\hr, find the speed of his son.
Choices:
6 km/hr
4.28 km/hr
9 km/hr
4.12 km/hr
Answer: B
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:
58%
52%
22%
42%
Answer: B
Question: At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Johanna, Jamal, Brianna, and John get lockers with the numbers 200, 400, 150, and 420, respectively, who is the most popular student?
Choices:
John
Brianna
Jamal
They have equal popularity
Answer: A
Question: In a company of 148 employees, 92 are females. A total of 78 employees have advanced degrees and the rest have a college degree only. If 31 employees are males with college degree only, how many employees are females with advanced degrees?
Choices:
51
52
53
54
Answer: C
Question: There are 8 points marked on the circumference of a circle. How many hexagons can be formed by connecting 6 points of the 8 points?
Choices:
28
30
32
34
Answer: A
Question: If n = 4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: B
Question: What is the tens digit of 7^1415?
Choices:
1
2
3
4
Answer: D
Question: If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 8 days ?
Choices:
X-1/32
X-1/64
X-1/128
X-1/256
Answer: D
Question: Which of the following are/is prime?
I. 145
II. 147
III. 149
Choices:
III only
III
IIII
I, II,III
Answer: B
Question: A football coach must choose 4 freshers from a team of 12players. How many different ways can the coach choose the freshers?
Choices:
495
729
800
890
Answer: A
Question: The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places?
Choices:
178.29 cm
123.98 cm
149.98 cm
146.89 cm
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:
169
199
540
123
Answer: C