antoine-444/aqua_rat_dataset huggingface dataset:
Question: A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/4 chance that engine one will fail. There is a 75% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?
Choices:
7/12
1/2
7/24
17/24
Answer: A
Question: A store raised the price of an item by exactly 20 percent. Which of the following could NOT be the resulting price of the item?
Choices:
12
18
24
58
Answer: D
Question: A departmental store charges the commission of 25 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
Choices:
$165,000
$115,000
$240,000
$160,000
Answer: A
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 30 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
63%
64.8%
70%
72%
Answer: A
Question: A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 112 km downstream
Choices:
4 hours
5 hours
6 hours
7 hours
Answer: A
Question: Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
Choices:
15
16
17
18
Answer: B
Question: The sum of five consecutive even numbers is 500. Find the middle number of the five?
Choices:
66
100
99
120
Answer: B
Question: One vessel contains a mixture of 4 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 5 parts soda. Compare the strength of the wine.
Choices:
10 : 9
7 : 4
14 : 5
None of these
Answer: A
Question: A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent W should the number of hours worked be increased?
Choices:
20%
25%
50%
100%
Answer: B
Question: A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
Choices:
4
5
6
78
Answer: C
Question: There are 21 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ?
Choices:
2
4
5
7
Answer: D
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
250
299
266
292
Answer: A
Question: The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 70, then how long is the base of isosceles triangle?
Choices:
20
25
30
35
Answer: C
Question: In a firm there are men and cows. In all, there are 21 heads and 64 feet. How many men and how many cows are in the firm?
Choices:
10 men and 11 cows.
6 men and 15 cows.
5 men and 16 cows.
11 men and 10 cows.
Answer: A
Question: In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 80% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced Trigonometry student is selected?
Choices:
12%
16%
20%
24%
Answer: A
Question: If a and b are different positive integers and a + b = a(a + b+1), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
Choices:
II only
III only
I and II
I and III
Answer: B
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $450, what were her original savings?
Choices:
$1600
$1700
$1800
$1900
Answer: C
Question: A is thrice as good a work man as B and together they finish a piece of work in 16 days.The number of days taken by B alone to finish the work is :
Choices:
64 days.
52 days.
35 days.
28 days.
Answer: A
Question: Sunil invested $ 2300 fir 3 years and $ 800 for 4 years at the same rate of Simple Interest. If the total interest from these investments is $ 1350, what is the rate of interest?
Choices:
15 1/3%
15 1/2%
16%
13 1/4%
Answer: D
Question: A cylindrical water tower with radius 15 m and height 4 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank?
Choices:
90 6/7
91
91 3/7
97
Answer: D
Question: The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Choices:
12
17
15
71
Answer: A
Question: Thirty five percent of the portfolios managed by the Crocodile Brokers company (C.B.C.) hold Hatsopoulos stocks. Forty percent of the portfolios managed by C.B.C. hold McQuarrie stocks and do not hold Hatsopoulos stocks. Fifteen percent of the portfolios managed by C.B.C. hold Hatsopoulos stocks and do not hold McQuarrie stocks. What percent of the portfolios managed by C.B.C. do NOT hold McQuarrie stocks?
Choices:
25
40
60
65
Answer: B
Question: The population of a town increased from 1,75,000 to 2,45,000 in a decade. The average percent increase of population per year is
Choices:
4%
6%
8.75%
None
Answer: A
Question: Find the value of x from the below equation? : 3x^2+5x+2 = 0
Choices:
-1
1
2
3
Answer: A
Question: 3 candidates in an election and received 3000, 5000 and 20000 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
50%
57%
71.42%
65%
Answer: C
Question: C and D started a business by investing Rs.1000/- and Rs.1500/- respectively. Find the D’s share out of a total profit of Rs.500:
Choices:
300
200
100
150
Answer: C
Question: x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 7 will be equal to:
Choices:
6
1/9
1/3
9/49
Answer: D
Question: Ayesha’s father was 38 years of age when she was born while her mother was 36 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: B
Question: If x,y and z are positive integers, and 30x=35y=42z, then which of the following must be divisible by 3?
I. x
II. y
III. z
Choices:
II
III
I & III
I, II & III
Answer: A
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 6 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
13:3
13:8
13:5
13:2
Answer: A
Question: The dairy condensed milk has only 20% water while the cow milk has 90% water. How many litres of milk maid will be obtained from 72 litres of milk?
Choices:
7
6
9
8
Answer: C
Question: The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
Choices:
665
998
2771
22
Answer: A
Question: A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, white,blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Choices:
15
21
36
28
Answer: D
Question: In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Choices:
255
278
289
290
Answer: A
Question: 11 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
Choices:
88 m
14 m
137 m
None
Answer: B
Question: A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally q% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
Choices:
80q/(1-q)
75q/(1-q)
100q/(80-0.2q)
100q/(80+0.2q)
Answer: D
Question: A man rows down stream 40 km and upstream 21 km taking 4 hrs each time. what is the velocity of current?
Choices:
2.375 kmph
2. 573 kmph
2 kmph
None of these
Answer: A
Question: If eight numbers are randomly selected without replacement from set {1, 2, 3, 4, 5, 6, 7, 8}, what is the probability that the numbers are selected in ascending order?
Choices:
1/36240
1/48360
1/24120
1/40320
Answer: D
Question: Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on friday. They were very happy. What day of the week would come on 14 Feb. 2010?
Choices:
tuesday
sunday
wednesday
thursday
Answer: D
Question: Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 20 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
B) 8
C) 10
D) 19.1
E) 24
Answer: C
Question: In how many ways can 5 boys and 2girls be arranged at a table if 2girls are never together?
Choices:
350
378
390
480
Answer: D
Question: A car covers a distance of 624 km in 3 hours. Find its speed?
Choices:
277
298
269
208
Answer: D
Question: A and B can do a piece of work in 50 days and 50 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
Choices:
30days
40days
44days
45days
Answer: A
Question: Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements E.
Choices:
b) E=144
c) E=240
d) 288
e) 120
Answer: B
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of?
Choices:
720km/hr
710km/hr
510km/hr
480km/hr
Answer: A
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 30
Choices:
13
15
17
18
Answer: D
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 8 women and 12 children take to complete the work?
Choices:
5
7
8
2
Answer: A
Question: In a kilometer race, A beats B by 40 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
290 sec
490 sec
240 sec
Answer: D
Question: If d is the standard deviation x, y, and z, what is the standard deviation of x +3, y + 3, z + 3 ?
Choices:
3d+3
d
3d+9
3d-3
Answer: B
Question: Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 30 years. What is Molly's age right now?
Choices:
14
16
18
20
Answer: C
Question: A person lent a certain sum of money at 6% per annum at simple interest and in 8 years the interest amounted to $572 less than the sum lent. What was the sum lent?
Choices:
1100
1200
1300
1400
Answer: A
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train?
Choices:
87.5
87.2
87.1
87.4
Answer: A
Question: The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 20 kmph?
Choices:
20.25
32.25
75.75
62.61
Answer: C
Question: 6, 11, 21, 36, 56, ?
Choices:
71
81
61
91
Answer: B
Question: Salaries of A, B and C were in the ratio 3 : 5 : 7 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of their respective salaries?
Choices:
3 : 6 : 7
4 : 15 : 18
9 : 16 : 21
8 : 16 : 21
Answer: C
Question: How many terms are there in 2, 4, 8, 16,..., 2048?
Choices:
11
12
10
8
Answer: A
Question: Which of the following is the product of two integers whose sum is 12?
Choices:
-28
12
26
32
Answer: A
Question: In the formula V = 1/(2r)^2, if r is halved, then V is multiplied by?
Choices:
4
1
1/8
1/64
Answer: A
Question: Mrs. Napier has 38 stickers to give to 5 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
Choices:
2-4
7-6
2-3
2-8
Answer: B
Question: If 3<x<6<y<8, then what is the greatest possible positive integer difference of x and y?
Choices:
4
5
6
7
Answer: A
Question: Two Copiers are being used to produce 2400 copies of a 1-page document. One Copier runs at 150% of the speed of the other. How many copies should be made on the faster copier so that both copiers will finish the same time?
Choices:
1440
1340
1540
1640
Answer: A
Question: The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compound, if the total weight is 290 lbs, how much does substance x weigh?
Choices:
36
24
52
60
Answer: D
Question: When a random experiment is conducted, the probability that event A occurs is 1/5. If the random experiment is conducted 5 independent times, what is the probability that event A occurs exactly twice?
Choices:
48/625
64/625
98/625
128/625
Answer: D
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his
marks was 56% of the sum of their marks. The marks obtained by them are
Choices:
42,31
42,32
42,33
None of these
Answer: C
Question: 12 men and 18 boys working 7.5 minutes an hour complete a particular piece of work in 60 hours. If a boy’s work is half as efficient as a man’s work, how many boys will be needed to help 21 men to achieve twice the work in 50 hours working 9 minutes in an hour.
Choices:
77
42.
99
17
Answer: B
Question: Find a sum for first 5 prime number's?
Choices:
28
30
32
34
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'OF' is
Choices:
8
1
3
4
Answer: B
Question: A student travels from his house to school at 10 km/hr and reaches school 2 hours late. The next day he travels 15 km/hr and reaches school 1 hour early. What is the distance between his house and the school?
Choices:
70
80
90
100
Answer: C
Question: How many positive integers less than 7,000 are there in which the sum of the digits equals 5?
Choices:
54
56
58
60
Answer: B
Question: The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 1 year?
Choices:
2977
30000
6077
17112
Answer: B
Question: For integers x, y, and z, if (3^x) (4^y) (5^z) = 13,107,200,000 and x + y + z = 16, what is the value of xy/z?
Choices:
0
3
5
7
Answer: A
Question: A does a work in 20 days and B does the same work in 30 days. In how many days they together will do the same work ?
Choices:
6 days
9 days
12 days
None of these
Answer: C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240
88
76
121
Answer: A
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.6 per sq m?
Choices:
575, Rs.1350
1350, Rs.675
1450, Rs.775
675, Rs.4050
Answer: D
Question: If 4 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
10:5:8
10:5:2
10:5:4
10:5:1
Answer: C
Question: Frank the Fencemaker needs to fence in a rectangular yard. He fences in the entire yard, except for one full side of the yard, which equals 40 feet. The yard has an area of 200 square feet. How many feet offence does Frank use?
Choices:
47
50
180
240
Answer: B
Question: If n is an even negative integer, which of the following must then be an odd positive integer?
Choices:
-2n + 1
-(n^2)
2n - 1
n^3
Answer: A
Question: A store purchased a pair of pants for $210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. After some time a store owner decided to decrease the selling price by 20 percent. What was the store's gross profit on this sale?
Choices:
$14
$10
$6
$8
Answer: A
Question: There were two clock one is getting slow by two minutes/hr and another one is gaining 1 minute every hour and exactly after how many hours there two clock has a 1hr difference.
Choices:
15 Hours
20 Hours
25 Hours
28 Hours
Answer: B
Question: Jerry left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?
Choices:
200
266
267
600
Answer: C
Question: Mathematics, physics, and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many mathematics books as physics books and the number of physics books is 4 greater than that of the chemistry books. Ricardo selects 1 book at random from the shelf, reads it in the library, and then returns it to the shelf. Then he again chooses 1 book at random from the shelf and checks it out in order to read at home. What is the probability Ricardo reads 1 book on mathematics and 1 on chemistry?
Choices:
6%
12%
20%
24%
Answer: B
Question: A number increased by 20% gives 600. The number is
Choices:
400
450
500
520
Answer: C
Question: .
On dividing a number by 357, we get 38 as remainder. On dividing the same number 17, what will be the remainder ?
Choices:
3
4
8
11
Answer: B
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 18 years(the child was born during the interval). What is the present age of the child?
Choices:
13 years
6 years
4 years
5 years
Answer: A
Question: There are 8 digit mobile numbers. From that how many 8 digit mobile numbers can be formed if any digit can be repeated and 0 can also start the mobile number?
Choices:
7^3
10^8
11^9
12^3
Answer: B
Question: Let y = 2m + x^2 and m = 5x + 1.
If m^2 = 36, then which of the following can be a value of 2y + 3m?
Choices:
130
141
142
44
Answer: D
Question: Find two numbers whose sum is 26 and whose product is 165.
Choices:
11 and 13
11 and 15
11 and 16
11 and 19
Answer: B
Question: Pure milk costs 3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at 3 per litre. How many litres of water does he add?
Choices:
5 litres
7 litres
11 litres
None of these
Answer: A
Question: If y = x^2 + mx + n, y is minimum when x is:
Choices:
-m/n
-m/2
-n/2
n/m
Answer: B
Question: Find the value of 3 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
Choices:
500
900
1600
2400
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
Choices:
25%
22%
17.65%
45%
Answer: C
Question: The sale price sarees listed for Rs.340 after successive discount is 20% and 15% is?
Choices:
231
342
876
291
Answer: A
Question: If 2|2 –w| = 5, what is the sum of all the possible values for w ?
Choices:
2
5/2
4
5
Answer: C
Question: Factor: 16w3 – u4w3
Choices:
w3(4 + u2)(2 - u)(2 + u)
w3(4 + u2)(2 + u)(2 - u)
w3(4 - u2)(2 + u)(2 - u)
w3(4 + u2)(2 - u)(2 - u)
Answer: B
Question: Let the polynomials be:
P1(x)=3x2−7x+5,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)=
Choices:
-2x2 - 11x + 7
-2x2 - 11x + 6
2x2 - 9x + 7
None of these
Answer: A
Question: 5^100 is divided by 18. Then what is the remainder?
Choices:
11
13
15
16
Answer: B
Question: If an investor puts $1000 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Choices:
$1100.75
$1101.25
$1101.75
$1102.50
Answer: D
Question: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
Choices:
3/1
3/4
3/8
3/40
Answer: B
Question: If x is real, find the maximum value of the expression -2x^2 + 11x + 13.
Choices:
20.125
24.125
28.125
32.125
Answer: C
Question: A family of 7 queue to get ice cream from a an ice cream van. What is the probability that the father will be standing right in front of the mother in the queue?
Choices:
10%
15%
21%
25%
Answer: C
Question: Find the area of trapezium whose parallel sides are 24 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
299
315
161
212
Answer: B
Question: In a group of 800 people, 3/5 play at least one instrument, 96 play two or more. What is the probability that one student play exactly one instrument?
Choices:
12/25
C)2/25
3/25
1/5
Answer: A
Question: The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 5 years is
Choices:
s.6921
s.10210
s.6261
s.6361
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds. The ratio of their speeds is:
Choices:
3 : 2
3 : 8
3 : 25
1 : 4
Answer: D
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
2
7
4
Answer: A
Question: Working alone, machine X can manufacture 1,200 nails in 12 hours. Working together, machines X and Y can manufacture 1,200 nails in 6 hours. How many hours does it take machine Y to manufacture 1,200 nails working alone?
Choices:
5 1/3
7
10 1/5
12
Answer: D
Question: A store sells seven different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy?
Choices:
21
23
24
25
Answer: A
Question: In how many ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
Choices:
864
900
936
1,296
Answer: C
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Choices:
83.83%
83.93%
82.33%
83.33%
Answer: D
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Choices:
2400
2779
2729
2791
Answer: A
Question: 10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
Choices:
6000
7000
8000
None of these
Answer: A
Question: A bag contains 15 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
Choices:
1/15
6/35
13/70
1/5
Answer: B
Question: The probability that a card drawn from a pack of 52 cards will be a diamond or a king is
Choices:
4/13
1/13
1/52
None
Answer: A
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
5
8
4
1
Answer: A
Question: the probability that I will sit next to Ann is 1/12.
the probability that I won't sit next to Alice is 11/12.
What is the probability that I will sit next to Alice and not next Ann?
Choices:
11/12
11/144
1/12
1/144
Answer: B
Question: For any integer z, the function PODD(z) is defined as the product of all odd integers between –z and z, inclusive. Which of the following numbers will not divide PODD(-15) completely?
Choices:
5^5
7^3
Options B and C
Options A and C
Answer: C
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of the mother?
Choices:
30
35
40
45
Answer: C
Question: There are 11 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
Choices:
4/19
5/21
6/22
7/23
Answer: C
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 18% if no discount was offered?
Choices:
17606
17604
17600
18880
Answer: D
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
23 sec
24 sec
25 sec
26 sec
Answer: C
Question: If the S.P of Rs. 21 results in a 30% discount on the list price, What S.P would result in a 10% discount on the list price?
Choices:
s. 24
s. 25
s. 26
s. 27
Answer: D
Question: Look at this series: 544, 509, 474, 439,404, 369, 334, ... What number should come next?
Choices:
299
306
507
404
Answer: A
Question: In how many ways can the letters of the word "SATURN" be arranged?
Choices:
640
720
800
880
Answer: B
Question: If TIER is written as 9163 and BRAIN is written as 23415, how is RENT coded ?
Choices:
3657
2977
3659
2711
Answer: C
Question: An investor bought N shares of company X at $15 per share and N shares of company Y at $20 per share. If a month later the investor sold all the shares at $20 per share and made a profit of $200, then what is the value N?
Choices:
40
50
60
75
Answer: A
Question: If 1488 / 1.24 = 1200, then 148.8 / 12.4 is equal to ?
Choices:
10
14
12
11
Answer: C
Question: Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)?
Choices:
1/4
3/7
4/9
5/11
Answer: A
Question: 2,6,30,60,130,221...tell 8th digit in series??
Choices:
504
524
534
621
Answer: A
Question: The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
Choices:
Rs.640
Rs.621
Rs.619
Rs.612
Answer: A
Question: A dog buys a boat for rs.132.44 and sells it for rs.263.59. Find her gain %.
Choices:
99.03%
87%
16%
94.06%
Answer: A
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/3
5/1
5/6
5/2
Answer: C
Question: Evaluate 100^2 - 99^2 + 98^2 - 97^2 + 96^2 - 95^2 + ... + 2^2 - 1^2 =?
Choices:
5050
5176
9356
4890
Answer: A
Question: The compound interest on $ 27,000 at 11% p.a is $ 11,000.Find out the period (in years) ?
Choices:
3 1/4
3
2 3/4
4
Answer: A
Question: What is the units digit of (3^10)(4^13)?
Choices:
4
6
7
8
Answer: B
Question: The sector of a circle has radius of 7 cm and central angle 135o. Find its perimeter?
Choices:
92.2 cm
28.9 cm
30.5 cm
98.2 cm
Answer: C
Question: If Josh, Doug, and Brad have a total of $68 between them, and Josh has two times as much money as Brad but only three-fourths as much as Doug, how much money does Brad have?
Choices:
$24
$26
$12
$36
Answer: C
Question: WILLIAM has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If WILLIAM needs to pay exactly $128, what is the least number of bills he will need to use?
Choices:
11
22
46
16
Answer: D
Question: A train 200 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
77
22
12
Answer: B
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
71 sec
18 sec
28 sec
Answer: A
Question: Lines y=4√5·x−2 and y=3√5·x−1 intersect at what height above the x axis?
Choices:
2√5
2
3√5
12√5
Answer: B
Question: 12 men take 18 days to complete a job whereas 12 women in 18 days can complete 1â„4 of the same job. How many days will 10 men and 8 women together take to complete the same job?
Choices:
13 1â„2
18
Data inadequate
None of these
Answer: B
Question: find value for x from below equation?
x + 1 = -3
Choices:
-4
-1
-5
1
Answer: A
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is
Choices:
10/19
46/105
11/15
Cannot be determined
Answer: D
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
15
16
28
19
Answer: C
Question: The difference between the compound interest and simple interest on a certain sum of money at 5% per annum for 2 years is 45. Then the original sum is?
Choices:
Rs.17000/-
Rs.18000/-
Rs.19000/-
Rs.20000/-
Answer: B
Question: Reena took a loan of Rs. 2000 with simple interest for as many years as the rate of interest. If she paid Rs. 720 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
8
9
10
Answer: A
Question: How many seconds will a 900 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
40
45
54
Answer: D
Question: In three annual examinations, of which the aggregate marks of each was 500, a student secured
average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 70% average total marks, it is necessary for him in third yearly examination to secure marks :
Choices:
350
400
450
550
Answer: D
Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ?
Choices:
12
13
20
25
Answer: C
Question: A fruit seller had some Mangoes. He sells 50% oranges and still has 500 Mangoes. How many Mangoes he had originally?
Choices:
850
900
1000
1050
Answer: C
Question: n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1600, then what is the smallest possible value of n?
Choices:
8
10
12
15
Answer: B
Question: Analyze the number square carefully and find out what number fits in place of question mark.
35	20	14
27	12	18
5	2	?
Choices:
23
21
22
20
Answer: D
Question: A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 50% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
Choices:
4/7
10/19
7/24
7/10
Answer: B
Question: From a bunch of eight keys, three particular keys have to be used to open a combination lock, such that the second key can be used only after the first key and the third key can be used only after the second key. What are the chances of opening the lock in a random selection of three keys?
Choices:
1/180
1/336
1/480
1/720
Answer: B
Question: A warehouse had a square floor with area 10,000 sq.meters. A rectangular addition was built along one entire side of the warehouse that increased the floor by one-half as much as the original floor. How many meters did the addition extend beyond the original buildings ?
Choices:
20
50
100
500
Answer: B
Question: A 425 meter long train crosses a platform in 55 seconds while it crosses a signal pole in 40 seconds. What is the length of the platform?
Choices:
160
159.38
180
175
Answer: B
Question: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 85 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Choices:
59%
54%
55%
57%
Answer: A
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1008?
Choices:
900
2889
2777
2991
Answer: A
Question: A textile manufacturing firm employees 56 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 56 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
Choices:
6250
10000
5000
None of these
Answer: A
Question: Which of the following is closer to (3!+2!)-(3!-2!)?
Choices:
1
2
3
4
Answer: D
Question: A is twice as good a work man as B and together they finish a piece of work in 14 days.The number of days taken by A alone to finish the work is :
Choices:
21
28
42
None of these
Answer: A
Question: A certain machine produces 550 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 5 days?
Choices:
24,000
66,000
100,000
168,000
Answer: B
Question: If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+13 is divided by 41?
Choices:
18
6
16
5
Answer: A
Question: If the simple interest on a sum of money for 2 years at 5% per annum is Rs.50, what is the compound interest on the same at the same rate and for the same time?
Choices:
Rs. 51.25
Rs. 54.25
Rs. 60
Rs. 70
Answer: A
Question: If x^2 – 2y^2 = 2xy, then (x + y)^2 =
Choices:
2x^2-y^2
4xy
2y^2
– y^2
Answer: A
Question: Stalin gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Jose gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Choices:
28
34
32
30
Answer: D
Question: A contractor hires 100 men to finish a job in 50 days. After 40 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
Choices:
18
16
12
5
Answer: D
Question: Each Machine of type A has 2 steel parts and 3 chrome parts. Each machine of type B has 3 steel parts and 5 chrome parts. If a certain group of type A and type B machines has a total of 40 steel parts and 32 chrome parts, how many machines are in the group
Choices:
12
14
15
16
Answer: A
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
7500
2662
2992
2772
Answer: A
Question: A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
Rs. 12,000
Rs. 30,000
Rs. 40,000
Rs. 45,000
Answer: A
Question: A man buys s cycle for $100 and sells it at a loss of 40%. What is the selling price of the cycle?
Choices:
$60
$70
$80
$90
Answer: A
Question: The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n?
I. 50
II. 68
III. 90
Choices:
III only
I and II
I only III
II and III
Answer: B
Question: A shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $151 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?
Choices:
10
12
14
16
Answer: A
Question: In a graduating class of 234 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
Choices:
115
113
88
31
Answer: A
Question: John drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. What was his average speed for the whole journey?
Choices:
The average speed is 54 miles per hour.
The average speed is 44 miles per hour.
The average speed is 60 miles per hour.
The average speed is 72 miles per hour.
Answer: A
Question: If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?
Choices:
12
18
11
29
Answer: C
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 21 years replaced by a new boy. The age of the new boy is?
Choices:
15 years
16 years 4 months
17 years 8 months
17 years
Answer: C
Question: If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?
Choices:
4 days
40 days
100 days
50 days
Answer: C
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
480
345
356
368
Answer: A
Question: Reduce
803876
to the lowest terms
Choices:
1112
2627
47
None of these
Answer: A
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Choices:
3.34
3.2
3.08
3.17
Answer: A
Question: Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs. 250
Rs. 300
Rs. 350
None
Answer: A
Question: here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Choices:
4123
3621
1800
1450
Answer: C
Question: If (18^a) * 9^(3a – 1)= (2^5)(3^b) and a and b are positive integers, what is the value of a?
Choices:
11
9
6
5
Answer: D
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 35% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
740 20/27 grams
740 8/3 grams
740 1/3 grams
740 1/27 grams
Answer: A
Question: If the probability of rain on any given day in Chicago during the summer is 20%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 7 inclusive?
Choices:
3/125
7/125
12/625
16/625
Answer: D
Question: Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?
Choices:
2887
2000
1129
1192
Answer: B
Question: P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 32 meter/sec.
Choices:
7 meter/sec
14 meter/sec
18 meter/sec
28 meter/sec
Answer: D
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Choices:
12
99
75
72
Answer: A
Question: x =1 2 3
y= 4 5 18 then what is the relation between x and y
Choices:
1*X)^6
1*X)^7
1*X)^4
1*X)^2
Answer: D
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
8
6
5
1
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 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:
4
6
8
6
Answer: A
Question: a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five
numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of
the following numbers E was deleted?
Choices:
b
c
d
e
Answer: B
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it ?
Choices:
13 1/3 days
19 1/3 days
11 1/3 days
12 1/3 days
Answer: A
Question: A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream,it takes 4 hours.What is the speed of the boat in still water ?
Choices:
6 km/hr
8 km/hr
Data inadequate
None of these
Answer: A
Question: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
Choices:
2,261,760
2,400,000
3,690,240
3,915,790
Answer: B
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68 Kmph
86 Kmph
99 Kmph
55 Kmph
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 4 seconds. What is the length of the fast train ?
Choices:
22 2/9
29 7/9
30 7/9
None of these
Answer: A
Question: A pool can be filled in 4 hours and drained in 5 hours. The valve that fills the pool was opened at 1:00 pm and some time later the drain that empties the pool was also opened. If the pool was filled by 9:00 pm and not earlier, when was the drain opened?
Choices:
at 2:30 pm
at 3:00 pm
at 3:30 pm
at 4:00 pm
Answer: D
Question: A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after 1year service. He served onlyfor 9 months and received uniform & Rs.650, find the price of the uniform?
Choices:
Rs.100
Rs.150
Rs.190
Rs.200
Answer: A
Question: 9 friends bought a franchise for 500,000 dollars. If they all have to pay the same amount and none of them have bills smaller than $1, how much money would they have to pay?
Choices:
500,001
500,004
500,000
500,005
Answer: B
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Choices:
17
12
19
11
Answer: B
Question: What number should replace the question mark?
100, 93, 79, 53, ?.
Choices:
30
32
41
44
Answer: A
Question: There are 14 balls in a jar: 8 red, 3 blue and 3 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
Choices:
11/14
1/2
2/3
3/4
Answer: A
Question: Jill, who lives in City C, plans to visit 7 different cities, M, L, P, I, Y, B and S. She plans to visit each city exactly once and return to City C after the 7 visits. She can visit the cities in any order. In how many different orders can she visit the 7 cities?
Choices:
5040
8000
9000
12000
Answer: A
Question: 12 : 21 :: 31 :?
Choices:
13
30
31
40
Answer: A
Question: A man divides $8600 Among 5 Sons, 4 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?
Choices:
$1000
$800
$1200
$400
Answer: B
Question: There are three boats B1, B2 and B3 working together they carry 60 people in each trip. One day an early morning B1 carried 50 people in few trips alone. When it stopped carrying the passengers B2 and B3 started carrying the people together. It took a total of 10 trips to carry 300 people by B1, B2 and B3. It is known that each day on an average 300 people cross the river using only one of the 3 boats B1, B2 and B3. How many trips it would take to B1, to carry 150 passengers alone?
Choices:
15
25
10
15
Answer: A
Question: If x and y are integers and xy = 660, x or y must be divisible by which of the following numbers?
Choices:
5
6
20
30
Answer: A
Question: Lovely shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?
Choices:
0.75
c) 8/9
5/7
6/8
Answer: C
Question: How many solutions does the equation
sin(x) sin(2x) sin(3x) · · · sin(11x) sin(12x) = 0
have in the interval (0,π] ?
Choices:
12
24
46
68
Answer: C
Question: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
Choices:
10
15
16
None
Answer: C
Question: A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. Which of the following is the remainder when nm is divided by 12?
Choices:
3
2
1
0
Answer: D
Question: The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/2. What is the probability of Michael passing his driving test?
Choices:
2.
1/3.
2/3.
2/5
Answer: A
Question: If $0.90 is the commission for sales of $3,000, what percent of the sales amount is the commission?
Choices:
0.3%
0.03%
0.003%
0.0003%
Answer: B
Question: What annual instalment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?
Choices:
325
998
277
991
Answer: A
Question: A company has 15 managers and 75 associates. The 15 managers have an average salary of $210,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
Choices:
$45,000
$55,000
$60,000
$75,000
Answer: C
Question: If 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
Choices:
25%
28%
34%
50%
Answer: B
Question: What will be the compound interest on Rs. 45000 after 3 years at the rate of 12 % per annum
Choices:
Rs 18221.76
Rs 18123.40
Rs 18123.50
None of these
Answer: A
Question: A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.6 million vehicles in 2006, how many vehicles, to the nearest 1,000, did the manufacturer sell in 2007?
Choices:
63,000
2,030,000
2,040,000
2,300,000
Answer: A
Question: If xy = 5 and x^2 + y^2 = 14, then x/y + y/x =
Choices:
2 4/5
5 1/3
7
60
Answer: A
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
Choices:
11
13
15
12
Answer: C
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
Choices:
10
88
77
66
Answer: A
Question: The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?
Choices:
20
26
188
11
Answer: A
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?
Choices:
10
50
30
40
Answer: A
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choices:
3000
2799
2797
2788
Answer: A
Question: S1 = 3 S2 = 6 ... Sn = 3n + 4 For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50?
Choices:
16
12
9
8
Answer: A
Question: The smallest 3 digit prime number is?
Choices:
101
110
112
113
Answer: A
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is?
Choices:
4/10
4/11
4/13
4/12
Answer: C
Question: Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four? The number of that part is the answer
Choices:
x(x + y)2 + 2x2y
x(x2 – y2)
x[(x + y)2 – 2xy]
x[(x + y)2 – 2xy2]
Answer: D