antoine-444/aqua_rat_dataset huggingface dataset:
Question: John started driving on a highway at a constant speed of R miles per hour at 13:00. Then, 2 hours later, Tom started driving on the same highway at a constant speed of 6R/5 miles per hour at 15:00. If both drivers maintained their speed, how many miles had John driven on the highway when Tom caught up with John?
Choices:
8R
9R
10R
12R
Answer: D
Question: Alex deposited x dollars into a new account that earned 5 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
Choices:
w/(1.05+1.05^2)
w/(1.16+1.24)
w/(1.08+1.16)
w/(1.08^2+1.08^2)
Answer: A
Question: A certain industrial machine requires 20 quarts (640 ounces) of oil every day, and it is given a mixture of oil A and oil B. Oil A consists of 5% special additives while oil B consists of 9% special additives. If the machine needs exactly 50 ounces of the special additives to ensure smooth operation, then how much of oil A, in ounces, should be in the mixture?
Choices:
b.	B – 180
c. C – 190
d.	D – 300
e.	E – 320
Answer: B
Question: There are 240 doctors and nurses at a hospital. If the ratio of doctors to nurses is 3 to 7, how many nurses are at the hospital?
Choices:
168
176
180
184
Answer: A
Question: Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 20 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?
Choices:
5
8
12
None of these
Answer: B
Question: Find a sum for first 6 prime number'ss?
Choices:
28
30
35
41
Answer: D
Question: A rainstorm increased the amount of water stored in State J reservoirs from 50 billion gallons to 75 billion gallons. If the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Choices:
114
124
120
127
Answer: D
Question: A and B start a business with Rs.15000 and Rs.18000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
5:6
3:7
2:1
Answer: B
Question: A company wants to spend equal amounts of money for the purchase of two types of computer printers costing $500 and $300 per unit, respectively. What is the fewest number of computer printers that the company can purchase?
Choices:
3
4
6
8
Answer: C
Question: The income tax in the area where the Jones family lives is scheduled to increase by 12% next year. Since the Jones family cannot afford an increase in their tax bill, how much will they have to reduce income by to keep their cost the same?
Choices:
10.7%
10.3%
10.9%
10.2%
Answer: A
Question: At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?
Choices:
45
55
90
80
Answer: A
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28 hours
98 hours
16 hours
12 hours
Answer: A
Question: Walking at 4/7 of its usual speed, a train is 9 minutes late. Find its usual time to cover the journey.
Choices:
10min.
12min.
15min.
17min.
Answer: B
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:
17/27
17/19
17/20
17/22
Answer: C
Question: 7,11,19,35,67, (...)
Choices:
131
142
76
426
Answer: A
Question: What is the greatest of 3 consecutive integers whose sum is 30 ?
Choices:
11
8
9
5
Answer: A
Question: A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work?
Choices:
3 days
6 days
5 days
8 days
Answer: B
Question: Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 30 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car?
Choices:
0.6
1
1.2
2
Answer: B
Question: The sale price sarees listed for Rs.540 after successive discount is 5% and 2% is?
Choices:
500
502
540
262
Answer: B
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Choices:
3 1/3%
3 7/3%
3 1/7%
3 1/1%
Answer: A
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 900. What is their H.C.F.?
Choices:
15
25
35
45
Answer: A
Question: A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?
Choices:
21.
22
23
24
Answer: D
Question: If Jake loses 32 pounds, he will weigh twice as much as his sister. Together they now weigh 212 pounds. What is Jake’s present weight, in pounds?
Choices:
135
139
152
188
Answer: C
Question: Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:
Choices:
200 m
273 m
300 m
373 m
Answer: B
Question: A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
Choices:
200 Marks
280 Marks
371 Marks
827 Marks
Answer: A
Question: Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 5 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?
Choices:
105
77
51
36
Answer: B
Question: P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
Choices:
15
78
96
32
Answer: A
Question: A store owner estimates that the average price of type A products will increase by 30% next year and that the price of type B products will increase by 20% next year. This year, the total amount paid for type A products was $3200 and the total price paid for type B products was $5800. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Choices:
$15,325
$11,129
$16,225
$17,155
Answer: B
Question: The number of boxes in a warehouse can be divided evenly into 5 equal shipments by boat or 24 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
Choices:
33
54
81
120
Answer: D
Question: What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142
Choices:
38
46
49
52
Answer: B
Question: A popular website requires users to create a password consisting of the digits {1,2,3,4,5}. If no digit may be repeated and each password must be at least 4 digits long, how many passwords are possible?
Choices:
2 x 5!
4! x 5!
9!
10!
Answer: A
Question: If x, y, and z are all factors of 15, which of the following must be true?
Choices:
Either x = y, y = z, or x = z
x – y – z = even
The product xyz is odd
yz/x is an integer
Answer: C
Question: If n is an integer greater than 6, which of the following must be divisible by 10 ?
Choices:
n(n + 2)(n – 1)
n(n + 3)(n – 5)
n(n + 4)(n – 2)
n(n + 5)(n – 6)
Answer: B
Question: The workers of a factory is 10000. It decreases annually at the rate of 20% p.a. What will be its population after 4 years?
Choices:
7000
5282
4096
5250
Answer: C
Question: Several people are sitting around a round table playing a card game with a deck of 51 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table?
Choices:
5
7
11
13
Answer: A
Question: If twenty four men and sixteen women work on a day, the total wages to be paid is 11,600. If twelve men and thirty seven women work on a day, the total wages to be paid remains the same. What is the wages paid to a man for a day’s work?
Choices:
38
37
299
22
Answer: A
Question: Each of the 20 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 16 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed?
Choices:
10
12
14
15
Answer: A
Question: If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability J that a number picked up in first 90 positive integers will have the result of # as an odd digit ?
Choices:
(b) 4/9
(c) 1/2
(d) 6/10
(e) 5/9
Answer: D
Question: Anne bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax?
Choices:
4%
7%
10%
12%
Answer: A
Question: (2^2+4^2+6^2+.....+18^2)=?
Choices:
2356
6544
1140
7954
Answer: C
Question: 1=5,2=10,3=253,4=254,5=255,6=256,7=257,8=258 then 10=?
Choices:
2
345
445
235
Answer: A
Question: We can rent a bike for x cents per minute for the first 15 minutes and then y cents for each additional minute. How much will it cost to rent a bike for z minutes, where z>15?
Choices:
15x+(z-15)y
15y +(z-15)x
x + zy
x + (z-15)y
Answer: A
Question: In a kilometer race, If Abhishek gives Bharti a 40 m start, Abhishek wins by 19 sec. But if Abhishek gives Bharti a 30 sec start, Bharti wins by 40 m. Find the time taken by Bharti to run 5,000 m?
Choices:
750 sec
450 sec
825 sec
None of these
Answer: A
Question: Find the arithmetic mean B of all roots of the following equation- see an attachment.
Choices:
1
0.5
-1/3
0.3
Answer: B
Question: In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 44, what will be his grade at the end of the third year?
Choices:
56
82
75
80
Answer: B
Question: 2^(2x/3) = 2^(x/2)
What is the value of x ?
Choices:
2/3
1
0
-2
Answer: C
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 370440, then population in 1978 was?
Choices:
228788
266891
267689
320000
Answer: D
Question: The product of the prime integers between 33 and 40, inclusive, is:
Choices:
99,029
1,221
2,021
2,000
Answer: B
Question: Simplify: 896 x 896 - 204 x 204
Choices:
761200
712600
710612
710262
Answer: A
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -
Choices:
1/26
15/26
11/26
1/13
Answer: A
Question: Of the 45 employees of a certain company, twice as many are in the sales department as are in all of the other departments combined. What is the number of employees in the sales department?
Choices:
20
30
40
45
Answer: B
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4
6
7
8
Answer: A
Question: A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent?
Choices:
8
9
10
11
Answer: C
Question: 1024 people in village 720 speak tamil,562 speak english while 346 speak both. person who don not speack english or tamil speak hindi. what is probibility that person speak hindi
Choices:
12/128
11/126
11/127
11/128
Answer: D
Question: If a2+b2=177and ab=54 then find the value of a+b/a-b?
Choices:
5
2
1
3
Answer: A
Question: The area of rhombus is 150 cm square. The length of one of the its diagonals is 10 cm. The length of the other diagonal is:
Choices:
20 cm
25 cm
30 cm
None of these
Answer: C
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
Choices:
4.5 gallons
9.5 gallons
10 gallons
11 gallons
Answer: A
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 8 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
65
75
89
80
Answer: D
Question: A man can row upstream at 7 kmph and downstream at 33 kmph, and then find the speed of the man in still water?
Choices:
77
30
20
34
Answer: C
Question: (1+0.0001)/(0.04+100)
The value of the expression above is closet to which of the following?
Choices:
0.01
0.1
1
10
Answer: A
Question: The price of a certain painting increased by 20% during the first year and decreased by 25% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?
Choices:
90%
120%
85%
95%
Answer: A
Question: QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n...
For every positive integer n that is greater than 1, the function s(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The s(n) could have any of the following units digits except…?
Choices:
2
4
6
9
Answer: A
Question: 1/4+[(2/3*3/8)+4]-9/16=
Choices:
63/16
15/16
9/13
0
Answer: A
Question: Two trains of equal lengths take 10 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
13 sec
17 sec
21 sec
23 sec
Answer: A
Question: A palindrome is a word or a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1 and 2, how many palindromes are possible?
Choices:
8
16
24
32
Answer: A
Question: If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many E digits does this integer consists of?
Choices:
339
342
359
362
Answer: B
Question: If |y−12|<112|y−12|<112, which of the following could be a value of y?
Choices:
-11/2
11/2
11
22
Answer: B
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10
88
66
23
Answer: A
Question: The sum of two numbers is 40 and their product is 1050. What will be the sum of their reciprocals?
Choices:
(4/105)
(35/4)
(75/8)
None
Answer: A
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:
16:15
12:11
11:13
13:18
Answer: A
Question: 0.05 x 0.03 = ?
Choices:
0.015
0.0015
0.15
1.5
Answer: B
Question: Dan's age after 18 years will be 8 times his age 3 years ago. What is the present age of Dan?
Choices:
6
8
10
12
Answer: A
Question: 81,162,49,98,25,50,55
Choices:
110
129
128
131
Answer: A
Question: A zinc-copper alloy with 6 kg of pure zinc would contain 90% of zinc. The alloy with 3 kg of 90% zinc alloy contains 84% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy.
Choices:
1.4 kg or 88%
3.4 kg or 60%
4.9 kg or 81.4%
1.4 kg or 60%
Answer: C
Question: A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
Choices:
34 min
32 min
45 min
29 min
Answer: B
Question: Set G consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set G by 50, set Y is derived by multiplying each term in set G by 1.5, and set Z is derived by dividing each term in set G by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
Choices:
X, Z, Y
Y, Z, X
Y, X, Z
Z, Y, X
Answer: C
Question: The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the width of this rectangle.
Choices:
10
15
20
25
Answer: B
Question: A military garrison in a wild frontier has 60 men who have provisions to last 26 weeks. At the end of 6 weeks they are joined by another 30 men. How long will the provisions last?
Choices:
13 1/3
11 3/3
12 1/2
12 3/4
Answer: A
Question: By selling an article at Rs.900, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
s.480
s.500
s.540
s.550
Answer: C
Question: xy=2 then what is (2^(x+y)^2) / (2^(x-y)^2)
Choices:
4
8
16
256
Answer: D
Question: If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value A of z - x?
Choices:
7
8
9
10
Answer: C
Question: I have 150 pieces of cake. There are 50 friends in my house. I would like to give each friend the same amount of cake, how much should I give to each friend?
Choices:
7
9
15
3
Answer: D
Question: Working together, Jose and Jane can complete an assigned task in 12 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 48 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose
Choices:
30 days
60 days
65 days
36 days
Answer: D
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?
Choices:
127.5 m
184 m
212 m
314 m
Answer: A
Question: There are a total of 11 students in Mr. Michael's gym class. Over the course of a badminton unit, each of the 11 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
Choices:
51
52
55
59
Answer: C
Question: J is faster than P. J and P each walk 24 km. Sum ofthe speeds of J and P is 7 kmph. Sum of time taken by them is 14 hours. Then J speed is equal to?
Choices:
4
6
7
8
Answer: A
Question: A box contains 2 red balls and 5 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choices:
7/5
1/2
5/8
2/3
Answer: A
Question: A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 55%. Staff are allowed a further 50% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
Choices:
0.225D
0.265D
0.245D
0.205D
Answer: A
Question: If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will b
Choices:
5
7
8
9
Answer: B
Question: Two trains of equal length, running with the speeds of 60 and 90 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
2.6
6.6
32.2
42.2
Answer: B
Question: If a^2x = b^y, then
Choices:
log a/ log b = x/y
log a/ log b = y/2x
log b/a = x/y
log b/a = y/x
Answer: B
Question: A can complete the job in 4 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
Choices:
1/7
1/2
5/6
8/9
Answer: A
Question: A , B , and C started a partnership business by investing $45,000 , $63,000 , and $72,000 respectively. At the end of the year, the profit was distributed among them. If C's share of profit is $20,000, what is the total profit?
Choices:
$42,000
$46,000
$50,000
$54,000
Answer: C
Question: the sum of 2nd and 19th term of A.P. is equal to the sum of 8th , 15th and 12 th term . find the term which is 0
Choices:
13
14
15
16
Answer: B
Question: A retailer buys 40 pens at the market price of 36 pens from a wholesaler ,if he sells these pens giving a discount of 1% ,what is the profit % ?
Choices:
5%
10%
25%
19%
Answer: B
Question: In an examination 80% failed in Math and 20% failed in French. If 24% failed in both. What % of students passed in both.
Choices:
24%
20%
30%
10%
Answer: A
Question: The grade point average of the entire class is 80. If the average of one fourth of the class is 92, what is the average of the rest of the class?
Choices:
74
75
76
77
Answer: C
Question: Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 66, and the three numbers in order are?
Choices:
98,49,33
126,63,36
108,54,36
None of these
Answer: C
Question: A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
Choices:
³C₂
¹⁶C₂
¹²C₂
¹⁴C₂
Answer: B
Question: Given a unit square, two points are chosen uniformly at random within the square. Compute
the probability that the line segment connecting those two points touches both diagonals of the
square.
Choices:
1/4
3/4
4/4
5/4
Answer: A
Question: Set X consists of 5 integers and has median of 20 and a range of 20. What is the value of the greatest possible integer that can be present in the set?
Choices:
20
C.40
43
50
Answer: A
Question: A train is running at a speed of 40 km/hr and it crosses a post in 25.2 seconds. What is the length of the train?
Choices:
160 metres
280 metres
120 metres
250 metres
Answer: B
Question: A circular path of 19 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
rs.40.50
rs.44.20
rs.62.85
rs.43.10
Answer: C
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 4 as quotient and the 15 as remainder
Choices:
1346
1378
1635
1815
Answer: D
Question: Rahul went to a shop and bought things worth Rs. 26, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
20.7
22
21.4
21.5
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 38 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
7
Answer: D
Question: How many of the positive divisors of 480 are also multiples of 4 not including 480?
Choices:
15
19
20
24
Answer: A
Question: .
On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
Choices:
3
5
8
11
Answer: B
Question: x percent of y percent of z is decreased by y percent. find the result?
Choices:
(100xyz - xy^2z) /1,000,000
(xz - y) / 10,000
(xyz - 2y) / 100
(xyz - 2y) / 10,000
Answer: A
Question: There are 7 boxes numbered from 1 to 7. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?
Choices:
28
30
32
34
Answer: A
Question: Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5, 6, 7, 8}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?
Choices:
28/243
35/729
83/729
101/729
Answer: A
Question: A boat moves down stream at the rate of 1 km in 6 minutes and
upstream at the rate of 1 km in 10 minutes. The speed of current is
Choices:
2 kmph
4 kmph
5 kmph
6 kmph
Answer: A
Question: If a, b, w are integers, 33 = abw, and a < b < w, what is the smallest possible value of a?
Choices:
-33
1
3
11
Answer: A
Question: If you multiply two integers together and
then add 4, the result is 40. Which of the
following could NOT be the sum of the
two numbers?
Choices:
13
15
18
20
Answer: C
Question: Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 184 cms. What was the ratio A of men to women?
Choices:
5:2
4:3
4:1
3:1
Answer: A
Question: Find the arithmetic mean P of all roots of the following equation- see an attachment.
Choices:
1
0.5
-1/3
0.3
Answer: B
Question: The product of two numbers is 336 and the sum of their squares is 289. The sum of the number is?
Choices:
B)25
C)27
D)31
E)35
Answer: C
Question: Jamshid can paint a fence in 50 percent less time than Taimour can when each works alone. When they work together, they can paint the fence in 5 hours. How long would it take Taimour to paint the fence alone?
Choices:
8 hours
15 hours
24 hours
32 hours
Answer: B
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 35% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
Choices:
$65
$50
$80
$100
Answer: A
Question: There are 2 sections A and B in a class, consisting of 50 and 70 students respectively. If the average weight of section A is 50kg and that of section B is 70kg, Find the average of the whole class?
Choices:
49.32kg
61.67kg
69.15kg
70.89kg
Answer: B
Question: The sum of two consecutive numbers is 37. What are they?
Choices:
18 and 19
18 and 23
19 and 20
None
Answer: A
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/8. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Choices:
134
152
162
170
Answer: A
Question: Calculate the value of u: 16u^2-7u+2 = 125
Choices:
2
4
1
3
Answer: D
Question: In a class of 50 students, 20 play Tennis, 15 play Cricket and 11 play Football. 7 play both Tennis and Cricket, 4 play Cricket and Football and 5 play Tennis and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Choices:
10
25
30
40
Answer: A
Question: Bradley owns b video game cartridges. If Bradley’s total is one-ninth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choices:
39b / 4
41b / 4
43b / 4
45b / 4
Answer: B
Question: According to a survey, at least 65% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Choices:
20%
25%
0%
35%
Answer: A
Question: Find the two digit number, such that the ratio is 7/4 of original number to the number formed by reversing the digits.
Choices:
21
22
23
24
Answer: A
Question: A soccer team played 140 games and won 50 percent of them. How many games did it win?
Choices:
94
104
70
80
Answer: C
Question: Arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 2.5. What value is exactly 2 standard deviations less than the mean?
Choices:
8.5
11.5
12
12.5
Answer: A
Question: A ladies hostel had provision of food for 300 women for 45 days. After 10 days, 275 women left the hostel. The number of days for which the remaining food will last is:
Choices:
420
450
480
425
Answer: A
Question: An auction house charges a commission of 17% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000?
Choices:
$160,000
$205,000
$240,000
$365,000
Answer: B
Question: In a certain corporation, there are 300 male employees and 150 female employees. It is known that 10% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Choices:
5/15
6/15
3/10
4/15
Answer: B
Question: At a speed of 40 miles per hour, a certain car uses 1 gallon of gasoline every 40 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 40 miles per hour, the amount of gasoline used would be what fraction of a full tank?
Choices:
5/12
7/12
2/3
25/36
Answer: A
Question: If x ≠ 1 and if yx/(y - x) = 1, what is the value of y in terms of x?
Choices:
(x - 1)/x
x/(x + 1)
(x + 1)/x
x/(1-x)
Answer: D
Question: A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 250 items for $150 each, what will her monthly salary be?
Choices:
$1,800
$3,250
$2,500
$2,800
Answer: B
Question: What least number must be subtracted from 427751 so that remaining no.is divisible by 10
Choices:
1
6
8
9
Answer: A
Question: Which of the following inequalities has (have) a finite range of values of "x" satisfying it (them)?
Choices:
|x + 2| > 4
9x - 7 < 3x + 14
x^2 - 4x + 3 < 0
(B) and (D)
Answer: C
Question: P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?
Choices:
16 days
19 days
14 days
10 days
Answer: A
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings?
Choices:
3600
3608
3602
3603
Answer: A
Question: There are 12 yes or no questions. How many ways can these be answered?
Choices:
3624
4578
4096
3265
Answer: C
Question: Simplify: 0.3*0.8+0.1*0.5
Choices:
0.29
0.48
0.64
0.46
Answer: A
Question: There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h?
Choices:
400 km
420 km
430 km
450 km
Answer: D
Question: John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. How many miles did John drive?
Choices:
245 miles.
225 miles.
265 miles.
275 miles.
Answer: B
Question: If k, (k+200), (k+350), and 15*K are all multiples of A, then A could equal which of the following ?
Choices:
A=25
75
100
150
Answer: A
Question: In an exam, a candidate secured 504 marks our of the maximum mark of M. If the maximum mark M is converted into 800 marks, he would have secured 384 marks. What is the value of M?
Choices:
2890
270
2702
1050
Answer: D
Question: 79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,071 bacteria each. How many bacteria are there approximately?
Choices:
10^11
10^9
10^10
10^8
Answer: D
Question: The average of four positive integers is 67. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
Choices:
78
80
82
84
Answer: C
Question: If 1+2+3+...+n=n (n+1), then
2 (1+3+5+....+99)=?
Choices:
5000
2500
6500
None of these
Answer: A
Question: 3 houses are available in a locality.3 persons apply for the houses.Each apply for one house without consulting others.the probablity that all 3 apply for the same house is:
Choices:
1/9
8/9
7/9
6/9
Answer: A
Question: Find the highest common factor of 36 and 84.
Choices:
6
7
8
12
Answer: D
Question: X, Y, Z working alone finish constructing a house in 4, 6 and 12 hrs. resp. X starts alone and works for 1 hr. He is then joined by Y and they work together for 1 hr. Finally Z joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?
Choices:
11.35 am.
11.40 am.
12 am
11.20am
Answer: B
Question: Sandy bought 65 books for $1280 from one shop and 55 books for $880 from another shop. What is the average price that Sandy paid per book?
Choices:
$14
$16
$18
$20
Answer: C
Question: If the sum of a number and its square is 182, what is the number?
Choices:
26
28
91
None of these
Answer: D
Question: The number which exceeds 16% of it by 42 is :
Choices:
50
58
60
62
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 850 grms instead of a kg, what is the gain percent?
Choices:
15 11/17%
18 11/17%
17 11/17%
10 11/17%
Answer: C
Question: At the beginning of 2011, Albert invests $15,000 at 10% simple annual interest, $6,000 at 7% simple annual interest, and $x at 8% simple annual interest. If, by the end of 2011, Albert receives interest totaling 9% of the sum of his three investments, then the ratio of $x to the sum of his two other investments is
Choices:
1 : 4
1 : 6
1 : 7
1 : 8
Answer: C
Question: A single pipe of diameter x has to be replaced by six pipes of diameters 10 cm each. The pipes are used to covey some liquid in a laboratory. If the speed/flow of the liquid is maintained the same then the value of x is:
Choices:
18 cm
24.5 cm
24 cm
25 cm
Answer: B
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
178.2
178.23
178.21
Answer: A
Question: The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder of Y divided by 5?
Choices:
2.
3.
4.
5.
Answer: A
Question: First code word is defined to be a sequence of 5 different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J,
Second code word is defined to be a sequence of 5 different letters chosen from the 11 letters A, B, C, D, E, F, G, H, I,J and K.
What is the ratio of the number of code words that can be formed from First Code to the Second Code.
Choices:
5 to 11
6 to 11
11 to 6
11 to 5
Answer: B
Question: A standard Veggiematik machine can chop 30 carrots in 5 minutes. How many carrots can 4 standard Veggiematik machines chop in 4 minutes?
Choices:
90
96
121
137
Answer: B
Question: If shares of two persons in profits are Rs.300 and Rs.600 then ratio of their capitals is
Choices:
2:3
4:3
1:3
1:2
Answer: D
Question: In how many ways the letters of the word COMPUTER be arranged?
Choices:
40320
45000
34200
76581
Answer: A
Question: Set S consists of integers {2,3,4,5}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 5?
Choices:
5/6
2/3
1/4
2/7
Answer: A
Question: The product of first twelve positive integers is divisible by all of the the following EXCEPT?
Choices:
88
75
60
34
Answer: D
Question: Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 5 seconds.What is the length of the fast trian?
Choices:
23 2/9 m
27m
27 7/9m
29 7/9m
Answer: C
Question: Set S is the prime integers between 0 and 40. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?
Choices:
3/8
15/28
5/8
3/4
Answer: D
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Choices:
20/63
20/28
20/29
20/21
Answer: A
Question: What is the total number of integers between 10 and 50 that are divisible by 2?
Choices:
19
22
25
10
Answer: A
Question: A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 80 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?
Choices:
66
60
85
80
Answer: D
Question: Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/12 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $21 more than Eliot in his account. How much money does Eliot have in his account right now?
Choices:
$120
$180
$220
$210
Answer: D
Question: Three maths classes: X, Y and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and average score of class Y and Z is 81. What is the average score of classes X, Y, Z?
Choices:
81.5
83
78
87
Answer: A
Question: Find the cost price of an item if by selling at Rs.890, a profit of 15% is made?
Choices:
Rs.756
Rs.656
Rs.956
Rs.356
Answer: A
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 9 hours and 16 hours respectively. The ratio of their speeds is:
Choices:
6:7
4:3
9:16
10:2
Answer: B
Question: An amount of money is to be divided between R, S and T in the ratio of 3:6:12. If the difference between the shares of R and S is Rs.1800, what will be the difference between S and T's share?
Choices:
3000
2866
3600
2678
Answer: C
Question: How many positive integers less than 240 are multiple of 4 but NOT multiples of 6?
Choices:
40
42
53
64
Answer: A
Question: The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than A
Choices:
B)12
C)13
D)14
E)15
Answer: D
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds Y that it is an ace?
Choices:
1/26
1/13
1/4
5/13
Answer: B
Question: Let d > c > r > a. If c is twice as far from a as it is from d, and r is twice as far from c as it is from a, then (d - r)/(d - a) = ?
Choices:
1/3
2/3
7/9
3/2
Answer: C
Question: If a, g, and c are consecutive even integers and a < g < c, all of the following must be divisible by 4 EXCEPT
Choices:
g + c
ac
(bc)/2
(abc)/4
Answer: A
Question: A bag contains 3red, 2blue and 3green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
3/41
3/28
3/31
5/32
Answer: B
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 51 kmph, find the speed of the stream?
Choices:
13 kmph
14 kmph
15 kmph
17 kmph
Answer: D
Question: A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Choices:
2/8
3/9
4/5
113/7
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Choices:
699
677
168
100
Answer: D
Question: box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
Choices:
1/124
1/128
1/139
1/126
Answer: D
Question: Mean of 3 numbers is 10 more than the least of the numbers and 15 less than greatest of the 3. If the median of 3 numbers is 5, Find the sum of the 3 numbers?
Choices:
30
28
27
01
Answer: A
Question: A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number V is
Choices:
V=75
V=175
V=680
690
Answer: A
Question: Insert the missing number
2, ..., 8, 16, 32, 64, 128, 256
Choices:
5
4
3
8
Answer: B
Question: According to a survey, at least 75% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Choices:
20%
25%
0%
30%
Answer: D
Question: nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 13 cm?
Choices:
238cm2
240cm2
247cm2
250cm2
Answer: C
Question: Average between two sets of numbers is closer to the set withmore no's?
Choices:
90
110
120
130
Answer: A
Question: How long will take a leak at the bottom of a tank to empty it if it will take 3 hours to fill it without the leak, but due to the leak it will take one additional hour to be filled?
Choices:
12 hours
15 hours
14 hours
11 hours
Answer: A
Question: 3 men and 3 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
Choices:
15
18
36
24
Answer: C
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
12, 6
15, 3
14, 4
None of these
Answer: C
Question: Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Choices:
77
28
18
19
Answer: C
Question: At a party, 13 guests brought wine and 14 guests brought beer. If exactly 11 guests brought only one of the two types of drinks, how many guests brought both types of drinks?
Choices:
6
7
8
14
Answer: C
Question: if the price of a book is first decreased by 20% and then increased by 10%, then the net change in the price will be :
Choices:
12
37
29
22
Answer: A
Question: If |x + 132| = 32 what is the sum of all the values of x.
Choices:
-264
-64
0
-328
Answer: A
Question: 14,24,54,34,44,56,53, ?
Choices:
55
66
77
88
Answer: C
Question: A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/2, and the probability of selecting a blue paper clip is 1/3. What is the probability of selecting a silver paper clip?
Choices:
1/2
7/12
3/4
11/12
Answer: B
Question: Siddharth wants to borrow Rs.10000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Choices:
s.36.00
s.22.29
s.21.26
s.21.12
Answer: A
Question: (0.0077)(4.5) / (0.05)(0.1)(0.007)=
Choices:
9.9
990
0.99
0.099
Answer: B
Question: If 2/a + 3/a + 8/a is an integer, which of the following must also be an integer?
Choices:
13/a
6/a
9/a
15/a
Answer: A
Question: A trader marked the selling price of an article at 50% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :
Choices:
7.3 %
11 %
12.5 %
None
Answer: A
Question: The perimeter of a semi circle is 121 cm then the radius is?
Choices:
28
24
26
12
Answer: B
Question: Jake remembers only the last Six letters of his seven-letter Klingon name. If he is sure that the first letter is neither "N" nor "X", and assuming that there are only 12 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?
Choices:
B)9/100
C)1/10
D)4/5
E)9/10
Answer: B
Question: Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 180. What is their H.C.F.?
Choices:
15
40
60
70
Answer: A
Question: If the sides of a square are multiplied by 5, the area of the original square is how many times as large as the area of the resultant square?
Choices:
4%
50%
200%
400%
Answer: A
Question: The cost of 3 pens and 5 pencils is Rs.340. Also the cost of one pen and one pencil is in the ratio of 4:1 respectively. What is the cost of one dozen pens?
Choices:
Rs.960
Rs.300
Rs.150
None of these
Answer: A
Question: In honor of the year 2011, a donor has purchased 2016 books to be distributed evenly among the elementary schools in a certain school district. If each school must receive the same number of books, and there are to be no books remaining, which of the following is NOT a number of books that each school could receive?
Choices:
50
42
36
56
Answer: A
Question: Rohini is standing in a queue in which her position is 21st from either end of the queue.
Can you calculate how many people are standing in the queue?
Choices:
31 people.
41 people.
51 people.
61 people.
Answer: B
Question: A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 100$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip,what is the most their food can cost?
Choices:
80.63$
81.63$
80.27$
83.15$
Answer: C
Question: The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his dog?
Choices:
24
30
48
120
Answer: C
Question: If x persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Choices:
x
x/y
z/x
x/z
Answer: D
Question: A man can row with a speed of 10 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
15
20
99
71
Answer: A
Question: Each year for 4 years, a farmer increased the number of trees in a certain orchard by 1/4 of the number of trees in the orchard of the preceding year. If all of the trees thrived and there were 12500 trees in the orchard at the end of 4 year period, how many trees were in the orchard at the beginning of the 4 year period.
Choices:
5117
5120
8119
10115
Answer: B
Question: A father's age was 5 times his son's age 5 years ago and will be 3 times son's age after 2 years, the ratio of their present ages is equal to:
Choices:
10/8
10/3
10/6
10/2
Answer: B
Question: A bank offers 10% interest rate compounded annually. A person deposits Rs. 20,000 every year in his account. If he does not withdraw any amount, then how much balance will his account show after four years?
Choices:
Rs. 102102
Rs. 104202
Rs. 104222
Rs. 104233
Answer: A
Question: In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?
Choices:
58%
59%
50%
53%
Answer: C
Question: The value of 99^(96/99) x 99 is:
Choices:
9896
9890
9897
9810
Answer: C
Question: A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability W that all 3 jellybeans removed from the bag are blue?
Choices:
2/19
1/8
3/20
3/10
Answer: A
Question: Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 2 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
Choices:
4 hours
5 hours
1 hour
None of these
Answer: B
Question: A pipe can empty 1/4th of a cistern in 12mins. In 8 mins, what part of the cistern will be empty?
Choices:
3/7
4/9
1/6
4/7
Answer: C
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 700 grams. Find the profit percent.
Choices:
100/7%
100/19%
100/13%
None of these
Answer: A
Question: An aeroplane travels distance 2500 km, 1200 km, and 500 km, at the rate of 500 km/h, 400 km/h and 250 km/h respectively. The average speed of the plane is :
Choices:
420 km/h
430 km/h
415 km/h
440 km/h
Answer: A
Question: If (2^32 + 1) is completely divisible by a whole number, which of the following numbers is completely divisible by this number?
Choices:
(2^96+1)
(2^16 - 1)
(2^15 + 1)
(2^17 + 1)
Answer: A
Question: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
40
42
44
45
Answer: B
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 10 as remainder
Choices:
1636
1378
1635
1489
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 52 years now, the son's age five years back was:
Choices:
B)67
C)56
D)21
E)34
Answer: C