antoine-444/aqua_rat_dataset huggingface dataset:
Question: Three grades of milk are 1 percent, 5 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
Choices:
(y +z) / 4
5y + 3z
3y + z
3y + 4.5z
Answer: B
Question: If x is divisible by 3, 14, and 15, which of the following must be the least multiple of x?
Choices:
210
200
120
100
Answer: A
Question: Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.1450?
Choices:
Rs.1250
Rs.1010
Rs.10000
None of these
Answer: A
Question: How many different section of 4 books can be made from 10 different books if two particular books are always selected?
Choices:
38/
26
28
24
Answer: C
Question: 4 couples are seating at a round tables how many ways can the 4 women sit together
Choices:
4!*4!
4!*3!
5!*4!
6!*4!
Answer: A
Question: 417 + 4.017 + 0.417 + 4.0017 = ?
Choices:
425.4357
629.6357
425.5637
629.6753
Answer: A
Question: If the radius of a circle is increased by 60% then the area is increased by:
Choices:
120%
156%
40%
None of the above
Answer: B
Question: A daughter lent $750 to her mother to help pay her rent. At the end of the month, the daughter received y dollars more than than the amount that was lent due to interest. The mother also gave her daughter an additional $5 for goodwill. In terms of y, what fraction of the total amount that the daughter received was the goodwill amount?
Choices:
5/(755+y)
5y/(755+y)-1
5y/(755+y)
5y
Answer: A
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the
probability that it is neither blue nor green?
Choices:
8/21
3/7
9/22
None of these
Answer: A
Question: From a pack of 52 playing cards, 2cards are drawn together at random. Find the probability of both the cards being king ?
Choices:
1/223
1/221
2/213
3/313
Answer: B
Question: When p is divided by 9, the remainder is 8. All of the following are possible values of p, except for which of the following?
Choices:
35
53
61
71
Answer: C
Question: A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %?
Choices:
40%
50%
65%
72%
Answer: B
Question: The difference between the circumference and the radius of a circle is 37 cm. The area of the circle is:
Choices:
148cm2
154cm2
259cm2
269cm2
Answer: B
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
Rs.3910
Rs.3997
Rs.3900
Rs.3902
Answer: C
Question: There are three prizes to be distributed among nine students. If no students gets more than one prize, then this can be done in?
Choices:
45
5
84
None of these
Answer: C
Question: What percentage of numbers from 1 to 70 have squares that end in the digit 1?
Choices:
28%
20%
23%
12%
Answer: B
Question: Find large number from below question The difference of two numbers is 1375. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1265
1350
1467
1647
Answer: D
Question: An ant walks an average of 1000 meters in 30 minutes. A beetle walks 10% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?
Choices:
1.8
2.775.
1.9
3.5.
Answer: A
Question: A can do a piece of work in 10 days, B in 15 days. They work for 5 days. The rest of work finished by C in 2 days.If they get Rs 1500 for the whole work, the daily wages of B and C are?
Choices:
225
126
187
1267
Answer: A
Question: In a nationwide poll, N people were interviewed. If 1/5 of them answered yes to question 1, and of those, 1/3 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions?
Choices:
6N/7
4N/15
7N/15
14N/15
Answer: D
Question: Linda bought 3 notebooks at $1.20 each; a box of pencils at $1.50 and a box of pens at $1.70. How much did Linda spend?
Choices:
$6.80
$7.70
$4.70
$3.90
Answer: A
Question: The present ages of three persons are in proportions 4:7:9.Thirteen years ago, the sum of their ages was 81. Find their present ages.
Choices:
24, 42
35, 45
35, 55
of these
Answer: A
Question: 57+58=115. How many such 2 consecutive numbers are there less than 1500 when added gives a sum which is divisible by 5?
Choices:
200
300
400
500
Answer: B
Question: The average (arithmetic mean) monthly income of four workers is $1,000. After one worker’s income increases by 50 percent the new average income is $1,200. What was the original income of the worker whose monthly income increased?
Choices:
$1,500
$1,300
$1,600
$1,100
Answer: C
Question: What is the largest 4 digit number exactly divisible by 35?
Choices:
4678
9975
9504
9936
Answer: B
Question: The sum of 3 consecutive numbers is definitely
Choices:
Divisible by 2.
Divisible by 4.
Divisible by 3.
Divisible by 5.
Answer: C
Question: A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then
leaves. A alone can finish the remaining work in
Choices:
6 days
7.5 days
8.5 days
None of these
Answer: B
Question: The average of marks obtained by 120 boys was 39. If the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
Choices:
110
120
130
140
Answer: B
Question: If the numerator of a fraction T is tripled, and the denominator of a fraction is doubled, the resulting fraction will reflect an increase of what percent?
Choices:
25%
33 1⁄3%
50%
66 2⁄3%
Answer: C
Question: At what rate percent on simple interest will Rs.750 amount to Rs.1125 in 5 years?
Choices:
10
4
5
6
Answer: A
Question: If 45% of a class averages 95% on a test, 50% of the class averages 78% on the test, and the remainder of the class averages 60% on the test, what is the overall class average? (Round final answer to the nearest percent).
Choices:
84%
85%
86%
87%
Answer: B
Question: John's Bank's saving amount is decreased 30% due to loan payment and current balance is Rs.7000. Find the actual balance before deduction?
Choices:
8500
9000
9500
10000
Answer: D
Question: An integer n between 1 and 100, inclusive, is to be chosen at random. What is the probability that n(n+2) will be divisible by 2 ?
Choices:
1/3
1/2
2/3
5/6
Answer: B
Question: The sequence a1, a2, a3, ... , an, ... is such that an=an−1+an−2/2 for all n≥3n≥3. If a3=4 and a5=20, what is the value of a6 ?
Choices:
16
20
24
28
Answer: D
Question: The area of a right triangle PCM is 18. Length of smallest side CM is 3 units. Find the length of the other two sides.
Choices:
18, 3
15.16, 6
12, 12.37
12, 15.16
Answer: C
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 34 cm?
Choices:
680 sq.cm
618 sq.cm
297 sq.cm
600 sq.cm
Answer: A
Question: In a dairy farm, 46 cows eat 46 bags of husk in 46 days. In how many days one cow will eat one bag of husk?
Choices:
46
20
26
30
Answer: A
Question: A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 488. What is the sum of the last 8 of the even integers?
Choices:
604
610
616
622
Answer: C
Question: A boat travels 40 km downstream in 8 hours and 36 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
Choices:
5 km/hr, 4 km/hr
1 km/hr, 6 km/hr
2 km/hr, 1 km/hr
4 km/hr, 1 km/hr
Answer: D
Question: During a given week A programer spends 1/4 of his time
preparing flow chart, 3/8 of his time coding and the rest of
the time in debugging the programs. If he works 48 hours
during the week , how many hours did he spend debugging the
program.
Choices:
16 hours
17 hours
18 hours
19 hours
Answer: C
Question: Q. How many 6-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3, 5, 5?
Choices:
180
210
270
300
Answer: A
Question: In year Y imported machine tools accounted for 60 percent of total machine-tools sales in the United States, and Japanese imports accounted for 30 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Choices:
50x/9
60x/9
65x/9
75x/9
Answer: A
Question: 30% of a number is more than 60% of 150 by 120. Find the number?
Choices:
712
720
740
700
Answer: D
Question: 5,9,17,29,49,__
Choices:
80
81
82
83
Answer: C
Question: If X and Y are positive integers such that (3X + 7Y) is a multiple of 11, then which of the following will be divisible by 11?
Choices:
X + Y + 4
9X + 4Y
4X - 9Y
9X - 4Y
Answer: C
Question: A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs. 17 per kg. Find his profit percentage.
I. The rate of X is Rs. 20 per kg.
II. The rate of Y is Rs. 13 per kg.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: C
Question: What percentage of numbers from 1 to 70 have squares that end in the digit 1?
Choices:
14
20
21
22
Answer: B
Question: A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,056. How much did she invest at 5%?
Choices:
$400
$700
$900
$950
Answer: A
Question: There are 100 apples in a bag of which 98% are green and the rest red. How many green apples do you need
to remove so that only 96% of the apples are green?
Choices:
8
15
25
50
Answer: D
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
660
500
267
298
Answer: B
Question: Two cars, Car1 and Car2 move towards each other from Z and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach Z starting from Y?
Choices:
8.4 sec
33.6 sec
31.11 sec
16.8 sec
Answer: C
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
Choices:
7/19
7/11
7/12
7/15
Answer: D
Question: A box contains SEVEN bulbs out of which 3 are defective. If TWO bulbs are chosen at random, find the probability that atleast one bulb is good
Choices:
6/7
7/8
8/9
9/8
Answer: A
Question: The sum of the ages of 4 children born at the intervals of 1 years each is 12 years. what is the age of the youngest child ?
Choices:
1.5
1
3.5
4.5
Answer: A
Question: In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
Choices:
190
192
195
213
Answer: C
Question: If (7)(x^2) has four different prime factors, at most how many different prime factors does x have?
Choices:
2
3
4
5
Answer: C
Question: How many integers between 324,700 and 436,600 have tens digit 1 and units digit 3?
Choices:
645
987
1119
1339
Answer: C
Question: If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 15 degrees?
Choices:
π/3
2π
5π/2
8π
Answer: A
Question: Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.143 per kg, the price of the third variety per kg will be
Choices:
Rs.165.50
Rs. 175.50
Rs. 180
None
Answer: A
Question: Set L is composed of nine numbers, labeled L1 through L9. Set M is also composed of nine numbers, labeled M1 through M9. Set M is defined as follows: M1 = 1 + L1; M2 = 2 + L2; and so on, including M9 = 9 + L9. How much larger is the sum of set M's mean and range than the sum of set L's mean and range?
Choices:
4
cannot be determined
6
8
Answer: B
Question: If x^3 > y^2 > z, which of the statements could be true?
I. x < y = z
II. x = z < y
III. y < x < z
Choices:
III only
I and II only
II and III only
I, II and III
Answer: A
Question: A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?
Choices:
$1520
$1780
$1850
$1960
Answer: A
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:
65 ways
54 ways
28 ways
30 ways
Answer: D
Question: A person climbs up to a pole of 88 m high. In every min he climbs 12 m but slips down 8 m...how much time will he take to reach d top?
Choices:
20th minute
22th minute
24th minute
25th minute
Answer: A
Question: If z is a multiple of 7899, what is the remainder when z^2 is divided by 9?
Choices:
0
3
6
7
Answer: A
Question: A bag contains 3 red, 4 green and 4 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball?
Choices:
27/55
31/55
91/165
109/165
Answer: D
Question: In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 4 out of 7 consecutive days in Rwanda?
Choices:
3/7
35/128
4/28
28/135
Answer: B
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 83 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
8300
6000
5000
4000
Answer: A
Question: What is the Mode of the following data set R- {1,2,7,9,6,6,7,7}
Choices:
2
7
6
9
Answer: B
Question: 624 people are protesting outside of the White House. If they are standing in a rectangle in which the rows are no less than 6 people and no more than 104, how many different combinations of rectangular shapes are possible?
Choices:
7
8
9
10
Answer: B
Question: The average age of a group of 10 students was 25. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
Choices:
37 years
32 years
44 years
None of these
Answer: A
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 4 ounces of corn syrup, how many ounces of water does it contain?
Choices:
50
55
60
63
Answer: C
Question: A circular rim 14 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Choices:
75x
48x
24x
20x
Answer: D
Question: Find the least number which when divided by 34 and 5 leaves a remainder of 4 in each case.
Choices:
172
174
176
178
Answer: B
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.77
5.76
5.72
5.71
Answer: B
Question: At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
Choices:
3
4
5
6
Answer: A
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
1/4
1/3
7/19
1/7
Answer: B
Question: In how many ways 5 boys and 5 girls can be seated in a row so that boys and girls are alternate?
Choices:
28500
28600
28700
28800
Answer: D
Question: For how many integers k is (k^2)+3 = 3+(2^k) ?
Choices:
1
2
3
4
Answer: B
Question: There are two pipes which are functioning simultaneouly to fill a tank in 12 hours, if one pipe fills the tank 10 hours faster than other then how many hours second pipe will take to fill the tank ?
Choices:
30 hours
40 hours
42 hours
41 hours
Answer: A
Question: A train of length 180 metres takes 54 seconds to cross a tunnel of length 270 metres. What is the speed of the train in km/hr?
Choices:
20 km/hr.
30 km/hr.
40 km/hr.
None
Answer: B
Question: If 7 ministers are to be seated at a round table conference, then how many different ways can they be seated?
Choices:
60
720
520
180
Answer: B
Question: The number which exceeds 12% of it by 52.8 is:
Choices:
60
269
26
91
Answer: A
Question: How many prime numbers are between 15/7 and 131/6?
Choices:
4
5
6
7
Answer: C
Question: A boy has Rs. 320 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
140
130
120
Answer: A
Question: Find the odd man out. 1, 3, 10, 13, 19, 29
Choices:
9
1
3
10
Answer: D
Question: What is the probability that their sum of two numbers, randomly selected from the set {3,6,9,12,15,18} will be greater than 9?
Choices:
7/6
7/8
7/10
6/7
Answer: A
Question: Two letters from the word KHANTKAR are selected at random. What is the probability that at least one of the selected letters is a consonant?
Choices:
27/28
30/28
40/28
50/28
Answer: A
Question: Working alone, Jim finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. Jim alone cleans the entire house in 6 hours. How many hours will it take Nick and Jim to clean the entire house if they work together?
Choices:
2
2.4
3
3.6
Answer: D
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
11759
11755
11750
11751
Answer: C
Question: Choose the missing terms out of the given alternatives.
CMW, HRB, ?, RBL, WGQ, BLV
Choices:
MWG
SJE
HHW
YSH
Answer: A
Question: Which of the following will divide evenly into 407,406,520?
Choices:
21
4
31
41
Answer: B
Question: Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
Choices:
36 Km/hr
80 Km/hr
90 Km/hr
None of these
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
177
199
178
150
Answer: D
Question: Two employees 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
Rs.370
Answer: A
Question: The area of playground is 5700 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
Choices:
b) $150.50
c) $159.6
d) $158.60
e) $160.70
Answer: B
Question: A man has Rs. 400 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
75
90
105
Answer: B
Question: An design manager has 10patterns of chairs & 9patterns of tables. In how many ways can he make a pair of table & chair?
Choices:
40
80
90
100
Answer: C
Question: The perimeter of a square is 52 m. Find the area of the square.
Choices:
164 m².
166 m².
169 m².
273 m².
Answer: C
Question: Find the distance covered by a man walking for 36min at a speed of 10km/hr?
Choices:
3km
6 km
5km
6km
Answer: B
Question: A train 2500 m long can cross an electric pole in 100 sec and then find the speed of the train?
Choices:
90
120
180
360
Answer: A
Question: The list price of an article is Rs.70. A customer pays Rs.59.22 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
7%
10%
12%
6%
Answer: D
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Choices:
18
67
55
56
Answer: A
Question: Kail purchased n items from a catalog for $10 each. Postage and handling charges consisted of $4 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Choices:
11n + 4
11n + 3
9n + 3
9n + 4
Answer: B
Question: In a school of 850 boys, 46% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choices:
A)136
C)153
D)721
E)159
Answer: A
Question: A tank can be filled by pipe A in 5 hours and by pipe B in 8 hours, each pump working on its own. When the tank is full and a drainage hole is open, the water is drained in 20 hours. If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how long does it take for the tank to be filled?
Choices:
3.6 hours
4.6 hours
5.6 hours
None of these
Answer: A
Question: A certain company’s profit in 1996 was 15 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995?
Choices:
18%
33%
35%
38%
Answer: D
Question: What is the value of x?
Data 1: x - 2y = 7
Data 2: 4x – 28 = 8y
Choices:
10
12
15
no solution exists
Answer: D
Question: The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is
Choices:
4/5
7/13
7/15
8/11
Answer: A
Question: A box contains 8 apples, 7 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n?
Choices:
4
5
6
7
Answer: B
Question: When not moving on the sidewalk, Maya can walk the length of the sidewalk in 7 minutes. If she stands on the sidewalk as it moves, she can travel the length in 4 minutes. If Maya walks on the sidewalk as it moves, how many minutes will it take her to travel the same distance? Assume she always walks at the same speed, and express your answer as a decimal to the nearest tenth.
Choices:
2.5
2.7
2.1
2.2
Answer: A
Question: There are 21 balls in a jar: 14 red, 4 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:
3/4
6/9
6/7
3/4
Answer: C
Question: A train is walking at 6/7 of its usual speed, the train is 20 minutes too late. Find its usual time to cover the journey.
Choices:
30min
3 hours 20 min
2 hours 30 min
2 hours
Answer: D
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
908 ways
128 ways
108 ways
104 ways
Answer: C
Question: How many meters are there in 770 centimeters?
Choices:
7.6 meters
700 meters
6.5 meters
7.7 meter
Answer: D
Question: A shopkeeper sold an article at $1800 with 20% profit. Then find its cost price?
Choices:
$1500
$1850
$1600
$2000
Answer: A
Question: For what values of k will the pair of equations 3(3x + 4y) = 36 and kx + 12y = 30 does not have a unique solution?
Choices:
9
3
7.5
2.5
Answer: A
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
32:45
32:45
32:41
32:42
Answer: A
Question: Workers decided to raise Rs.3lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25lacs. How many workers were they?
Choices:
400
500
550
590
Answer: B
Question: In how many ways can 12 different gifts be divided among four children such that each child receives exactly three gifts?
Choices:
(4!)^3
12!/(3!)^4
12!/4!
4^12
Answer: B
Question: Find the value of x in (8x-6)=10.
Choices:
2
3
4
5
Answer: A
Question: The sum of three integers A, B and C is 180. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
Choices:
125
105
115
110
Answer: A
Question: What is (24^7+24) / 24?
Choices:
160902641
172502765
182302834
191102977
Answer: D
Question: A man gets a simple interest of Rs.400 on a certain principal at the rate of 5% p.a in eight years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Choices:
s.256.29
s.205.00
s.256.22
s.256.25
Answer: B
Question: A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability C that out of the two, one is white and one is blue?
Choices:
41/56
13/28
15/28
5/14
Answer: C
Question: Of 120 applicants for a job, 56 had at least 4 years' experience, 72 had degrees, and 12 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
Choices:
15
22
20
24
Answer: C
Question: Eleven books consisting of 5 financial management, 4 marketing management and 2 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.
Choices:
1/1155
1/1355
1/1455
1/1555
Answer: A
Question: The inverse ratio of 3: 2: 1 is?
Choices:
4:3:6
2:3:2
2:3:6
2:3:1
Answer: C
Question: Which of the following MUST yield an integer when divided by 11?
Choices:
The sum of eleven consecutive positive integers.
The sum of two odd integers.
The product of three consecutive odd numbers.
The difference between a multiple of 8 and a multiple of 3.
Answer: A
Question: A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ?
Choices:
729
278
299
271
Answer: A
Question: Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 8% of her entire investment?
Choices:
3000
1000
3600
2400
Answer: C
Question: One side of the bottom layer of a triangular pyramid has 12 balls. How many are there in the whole pyramid?Note that the pyramid is equilateral and solid.
Choices:
364
504
164
165
Answer: A
Question: Marcella has 25 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
Choices:
20
19
16
15
Answer: A
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order Y? (1 cubic meter = 1,000 liters)
Choices:
90
82
78
75
Answer: D
Question: A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs. 2, second one for Rs. 4, third for Rs. 6…and so on. If he wants to make an overall profit of at least 40%, what is the minimum number of goods he should sell?
Choices:
18
27
32
34
Answer: B
Question: 65% of x = 20% of 747.50. Find the value of x?
Choices:
230
150
180
199
Answer: A
Question: The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is:
Choices:
4
6
6
1
Answer: A
Question: The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 200,000 bacteria
Choices:
12
14
16
18
Answer: C
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 500 m long?
Choices:
70sec
74sec
80sec
85sec
Answer: B
Question: The average temperature of a city in the first four days of a month was 36°. The average for the 2nd, 3rd, 4th and 5th day was 38°. If the temperature of the 1st and 5th day were in the ratio 4 : 5, then what is the temperature on the fifth day ?
Choices:
40°
43°
41°
42°
Answer: A
Question: A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?
Choices:
9
27
36
34
Answer: A
Question: Find the number which multiplied by 15 is increased by 196.
Choices:
14
26
28
27
Answer: A
Question: When Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tom is what percent lesser than the quantifying chopped by Tammy?.
Choices:
100%
105%
225%
125%
Answer: D
Question: If a randomly selected non-negative single digit integer is added to {2, 3, 4, 8}. What is the probability that the median of the set will increase but the range still remains the same?
Choices:
0.3
0.4
0.5
0.6
Answer: C
Question: In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 5 people read all three newspapers. Find the minimum number of people who read both A and B but not C.
Choices:
B)2
C)3
D)0
E)5
Answer: C
Question: 6% of customers that enter a store on any given day must not pay tax. If 1000 people shop every day, how many people pay taxes in the store every week
Choices:
6580
7200
7120
6800
Answer: A
Question: A taxi owner buys diesel at Rs.8.50, Rs. 9 and Rs. 9.50 per litre for three successive years. What approximately is the average cost per litre of diesel if he spends Rs. 5000 each year?
Choices:
8.98
9.98
6.98
8.12
Answer: A
Question: With the wind, an airplane travels 1120 miles in seven hours. Against the wind, it takes eight hours. Find the rate of the plane in still air and the velocity of the wind.
Choices:
10 kmph
12 kmph
13 kmph
14 kmph
Answer: A
Question: x = 13.165
y = 7.496
z = 11.557
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
Choices:
0.02
0.03
0.1
0.2
Answer: A
Question: If a 3-number code is formed of the integers from 1 to 14 inclusively, and each of the numbers in the code is different, how many possible codes are there?
Choices:
1854
1964
2074
2184
Answer: D
Question: If a car travels a distance of 300 km in 8 hours, partly at a speed of 40 kmh-1 and partly at 30 kmh-1, what is the distance it travelled at the speed of 40 kmh-1?
Choices:
210 km
220 km
240 km
250 km
Answer: C
Question: If the length of the longest chord of a certain circle is 18, what is the radius of that certain circle?
Choices:
9
10
15
20
Answer: A
Question: Nick took a bus from home to market, that travels at 80 kmph. While walking back at 8 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 60 kmph. Find the average speed.
Choices:
49.0 kmph
48.5 kmph
48.0 kmph
none of these
Answer: C
Question: At the faculty of Aerospace Engineering, 310 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
Choices:
430
440
442
446
Answer: A
Question: In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible A score that Lindsey could have received on her midterm exam?
Choices:
52%
72%
76%
80%
Answer: A
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
189 m
245 m
189 m
197 m
Answer: B
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 40%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choices:
50% decrease
40% decrease
40% increase
50% increase
Answer: A
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $8.00 per hour and a standard tip rate of 30% of the cost of the orders she serves. If she worked four 12-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Choices:
1120
320
350
400
Answer: A
Question: Which number is a factor of 20?
Choices:
4
7
18
9
Answer: A
Question: A and B play a series of 5 games in badminton. A's chance of winning s single game against B is 2/3. Find the chance that A wins exactly 3 games.
Choices:
35/128
80/243
None of these
cannot be determined
Answer: B
Question: 852.68 âˆ’ 4.5 + 108.94 = ? âˆ’ 2132.54
Choices:
5225.9
6078.54
6088.58
None
Answer: B
Question: A bag contains 6 red balls, 5 green balls and 6 white balls. A ball is drawn at
random from the box. What is the probability that the ball drawn is either red or green?
Choices:
3/5
11/17
7/15
8/15
Answer: B
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89 sec
54 sec
27 sec
22 sec
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 49 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
1624
2999
2667
2121
Answer: A
Question: A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 8 minutes?
Choices:
54
108
216
432
Answer: D
Question: Two numbers are in the ratio of 5:8. If 30 be subtracted from each, they are in the ratio of 5:9. Find the numbers?
Choices:
121,199
120,192
102,192
126,109
Answer: B
Question: A cistern of 475 litres is completely filled using pipes A and B, with Pipe A being open for 5 more hours than pipe B. If we are to interchange the operating hours of the two pipes than pipe A would have pumped half the water as much as pipe B, then find the time for which pipe B was open. Also, given that if the two pipes were open simultaneously the tank would fill in 19 hours.
Choices:
14 h
16 h
20 h
24 h
Answer: B
Question: Ram professes to sell his goods at the cost price but he made use of 800 grms instead of a kg, what is the gain percent?
Choices:
11 7/7%
11 1/9%
71 1/9%
25%
Answer: D
Question: How many three letter words are formed using the letters of the word TIME?
Choices:
57
88
24
21
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 15%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
48%
32%
45%
34%
Answer: B
Question: Rachel and Sarah started out to visit Grandma. They drove for 50 miles and stopped to rest
before driving for 30 more miles. They decided to go back 10 miles to a restaurant they had seen.
After leaving the restaurant, they drove 80 more miles to Grandma’s house. How many miles did the
girls drive on the way to Grandma’s house?
Choices:
160 miles
170 miles
180 miles
200 miles
Answer: B
Question: 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours C will it take 12 beavers that work at the same pace, to build the same dam?
Choices:
4.
C=5.
C=6.
8.
Answer: B
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue R, in dollars, from the sale of cars priced at $ 15,000?
Choices:
750,000
850,000
7,500,000
R=750,000,000
Answer: D
Question: In an examination, 300 students appeared. Out of these students; 26 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
Choices:
37
54
60
01
Answer: C
Question: If |x| = 4x - 1, then x = ?
Choices:
3
1 and 1/2
-1/2
-1
Answer: A
Question: In a simultaneous throw of a pair of dice, find the probability of getting a total more than 8
Choices:
7/12
3/7
5/12
6/17
Answer: B
Question: Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Choices:
1035677
1045778
1067675
1083875
Answer: D
Question: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work?
Choices:
2 days
8 days
4 1/5 days
9 days
Answer: C
Question: A block of wood has dimensions 10cm x 10cm x 80cm. The block is painted red and then cut evenly at the 40 cm mark, parallel to the sides, to form two rectangular solids of equal volume. What percentage of the surface area of each of the new solids is not painted red?
Choices:
5.6%
11.2%
14.8%
17.5%
Answer: A
Question: Which of the following equations represents a line that is perpendicular to y=1/4*x+2?
Choices:
2x+4y=10
3y+6x=12
4y−8x=16
5x−10y=20
Answer: C
Question: If a man can cover 15 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
190km
200km
202.5km
210km
Answer: C
Question: Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 6000 Km?
Choices:
25.
300.
38.
50.
Answer: B
Question: If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to :
Choices:
22
38
398
72
Answer: A
Question: A water tank is one-fourth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 8 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choices:
6 min. to full
10 min. to empty
9 min. to full
8 min. to full
Answer: B
Question: The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#30?
Choices:
11
12
13
14
Answer: B
Question: The average of five consecutive odd numbers is 51. What is the difference between the highest and lowest number?
Choices:
.8
6
5
2
Answer: A
Question: A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $810 was the net sum to be paid for the entire work, what was the average daily wage of B?
Choices:
$90
$60
$54
$48
Answer: C
Question: Company A's workforce consists of 10 percent managers and 90 percent software engineers. Company B's workforce consists of 30 percent managers, 10 percent software engineers, and 60 percent support staff. The two companies merge, every employee stays with the resulting company, and no new employees are added. If the resulting companyís workforce consists of 25 percent managers, what percent of the workforce originated from Company A?
Choices:
20%
25%
50%
75%
Answer: B
Question: A train 125 m long passes a man, running at 2 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
28
47
29
Answer: C
Question: The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is d = 0.123456789101112
What is the 100th digit of d to the right of decimal point ?
Choices:
1
5
8
9
Answer: B
Question: Angelina walked 100 meters from her home to the grocery at a constant speed. She then walked 180 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
Choices:
3
0.5
6
12
Answer: B
Question: The sum of all the integers f such that -26 < f < 24 is
Choices:
-2
-25
-49
-51
Answer: C
Question: Tough and Tricky questions: Arithmetic.
(54^2 + 54^2)/18^2 =
Choices:
24
29
58
116
Answer: A
Question: In a caravan, in addition to 50 hens there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads, find the number of keepers.
Choices:
20
15
13
14
Answer: B
Question: Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability Q that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
Choices:
Q=9/28
Q=10/28
Q=10/18
11/18
Answer: A
Question: Express a speed of 63 kmph in meters per second?
Choices:
14 mps
17.5 mps
19.4 mps
10.8 mps
Answer: B
Question: UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought less of Toyota than Honda at the ratio of 7:3. If 70% of the Toyota bought and 30% of the Honda bought were SUVÃ¢â‚¬â„¢s. How many SUVÃ¢â‚¬â„¢s did UBA capital buy in the aforementioned purchase?
Choices:
58%
68%
89%
49%
Answer: A
Question: A computer store offers employees a 10% discount off the retail price. If the store purchased a computer from the manufacturer for $1200 dollars and marked up the price 10% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (10% off retail price) as opposed to the final retail price.
Choices:
132
142
152
162
Answer: A
Question: Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what time T will the job be finished?
Choices:
12:30 p.m.
1:00 p.m.
1:30 p.m.
2:00 p.m.
Answer: B
Question: If x and y are positive integers, and 4x^2=3y, then which of the following must be a multiple of 4?
I. x^2
II. y^2
III. xy
Choices:
II only
III only
I and II only
I, II and III
Answer: C
Question: The radius of a circle is increased by 1%. Find how much % does its area increases?
Choices:
2.07%
2.08%
2.01%
2.11%
Answer: C
Question: Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
Choices:
70 km/hr
77 km/hr
66 km/hr
44 km/hr
Answer: A
Question: A certain collage has total of 420 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
Choices:
100
75
60
50
Answer: A
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
75%
60%
25%
50%
Answer: C
Question: What is the average of xx,2x2x,and 66?
Choices:
x+2x
x+2x+2
2x+2
x+2x-2
Answer: B
Question: ?% of 360 = 93.6
Choices:
36
26
72
None of these
Answer: B
Question: How many ways can 5 friends be arranged around a circular dinner table?
Choices:
24
108
120
132
Answer: A
Question: Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 19 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
Choices:
70
100
120
140
Answer: A
Question: How much 60% of 50 is greater than 42% of 30?
Choices:
91
11
17.4
12
Answer: C
Question: The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
267
225
288
261
Answer: B
Question: Sarah, Fatima, Salma, and Lina all got tips during their waitressing shift. The average of Sarah, Fatima, and Salma's tips was $100. The average of Fatima, Salma, and Lina's tips was $90. If Lina earned $85, what did Sarah earn?
Choices:
108
110
113
115
Answer: D
Question: mixture contains alcohol and water in the ratio 4 : 3. If 6.5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Choices:
99
27
22
5.6
Answer: D
Question: Which of the following expressions CANNOT be equal to 0 when x^2 − 2x = 3?
Choices:
x^2 − 4x + 3
x^2 − x − 2
x^2 − 7x + 6
x^2 − 9
Answer: C
Question: Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 12 hours. How many hours does it take machines X and Y , working simultaneously , to produce 24k bottles?
Choices:
42
45
98
96
Answer: D
Question: Find the wrong number below mentioned series
17, 600,6000,550,750
Choices:
6000
17
550
750
Answer: B
Question: Pipes A and B can fill a tank in 9 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
Choices:
2 8/11 hours
3 9/17 hours
5 1/7 hours
None
Answer: C
Question: What is the area of a square with perimeter 16P ?
Choices:
16p^2
P^2/4
P/16
P^2/16
Answer: A
Question: A company received $2 million in royalties on the first $10 million in sales and then $8 million in royalties on the next $100 million in sales. By what percent did the ratio of royalties to sales decrease from the first $10 million in sales to the next $100 million in sales?
Choices:
40%
50%
60%
70%
Answer: C
Question: If the productivity of a brigade grows by 40% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?
Choices:
1.51
1.2
1.21
1.44
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 9 km/hr completes one round in 5 min, then the area of the park (in sq. m) is?
Choices:
300000 m
153600 m
33750 m
9000 m
Answer: C
Question: If five chimpanzee can eat five mangoes in five minutes.
How many minutes would it take for four chimpanzee to eat four mangoes ?
Choices:
5 minutes
8 minutes
14 minutes
20 minutes
Answer: A
Question: In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number. If the first number is −4, how many of the numbers in the sequence are positive?
Choices:
One
Two
Three
Four
Answer: C
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 22 white marbles. How many red marbles could be in bag A?
Choices:
3
4
2
8
Answer: C
Question: A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 7 minutes?
Choices:
54
108
216
378
Answer: D
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Choices:
77
48
99
22
Answer: B
Question: The ratio of the incomes of Chetan and Dinesh is 3:4. The ratio of their expenditures is 5:7. If each of them saves Rs.200, find the incomes of both?
Choices:
1892
2928
2791
1600
Answer: D
Question: Three candidates contested an election and received 1136, 7636 and 15000 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
63%
74%
63%
68%
Answer: A