antoine-444/aqua_rat_dataset huggingface dataset:
Question: If A = B/C, -1 < C < 0 and 4 < B, which of the following is correct?
Choices:
0 < A <4.
-4 < A < 0.
A < -4.
A < -20.
Answer: C
Question: On a track for remote controlled racing cars, racing car A completes the track in 56 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again.
Choices:
325
280
425
None of these
Answer: B
Question: On a purchase of $118, a store offered a payment plan consisting of a $18 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
Choices:
16.2%
16.5%
15.5%
15.3%
Answer: D
Question: Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 3, how many people got on at the first stop?
Choices:
64
32
16
8
Answer: D
Question: A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
Choices:
6.3 %
6.2 %
6.1 %
6.4 %
Answer: D
Question: A mixture contains milk and water in the ratio 7:3. On adding 20 liters of water, the ratio of milk to water becomes 7:5. Total quantity of milk & water before adding water to it?
Choices:
100
110
120
140
Answer: A
Question: If 4 - (3/7)x = (x-3) / 7,
then what is the value of x ?
Choices:
31
4
31/4
-31/4
Answer: C
Question: At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/4 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?
Choices:
17 fewer
28 fewer
36 fewer
52 fewer
Answer: D
Question: If a + b > 5 and a - b < 3, which of the following must be true?
I. a > b
II. b > 1
III. a > 5
Choices:
II only
III only
II and III only
I, II, and III
Answer: A
Question: The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 4-hour period?
Choices:
56
42
34
64
Answer: C
Question: Of the teams competing in the world archery championships, Ten percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Choices:
16/20
13/15
17/20
13/17
Answer: A
Question: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 1/4 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity?
Choices:
1/2
3/4
5/6
7/8
Answer: A
Question: If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?
Choices:
11 months
10 months
9 months
12 months
Answer: C
Question: if the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be :
Choices:
10
37
29
22
Answer: A
Question: E and F represent two distinct digits. If the number 457E89F is divisible by 36, what is the value of (E+F)?
Choices:
b) 3
c) 12
d) 6
e) 10
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 O? (1 cubic meter = 1,000 liters)
Choices:
90
82
78
75
Answer: D
Question: If x > 7, which of the following is equal to (x^2 + 4x + 4)/(x^2 - 4) ?
Choices:
(x - 4)/(x + 4)
(x - 2)/(x + 4)
(x + 4)/(x - 4)
(x + 2)/(x - 2)
Answer: D
Question: The C.P of 5 pens is equal to the S.P of 7 pens. Find his gain % or loss%?
Choices:
26 4/7%
28 4/7%
14 4/7%
23 4/7%
Answer: B
Question: A homeless man wins the lottery and winds up with $200,457,543. He wishes to share it equalling with 8 other homeless friends of his. How much more money does he need to be able to distribute the money equally?
Choices:
0
6
1
4
Answer: B
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40
26
21
14
Answer: A
Question: A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle R in terms of h?
Choices:
h/2
h/4
(h)^2
(h)^2/4
Answer: D
Question: 30% of all students in a class commute by public transportation. If 40% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I.	5%
II.	40%
III.	50%
Choices:
II ONLY
III ONLY
I AND III
II AND III
Answer: D
Question: Find the value of (875 233/899) × 899
Choices:
786857
786858
786859
786860
Answer: B
Question: A boat crossed a lake from North to South at the speed of 4 km/h, entered a river and covered thrice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed?
Choices:
5
6
7
8
Answer: A
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
Rs. 15
Rs. 18
Rs. 21
Rs. 27
Answer: A
Question: Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 5-cent stamps she could have bought ?
Choices:
3
15
20
25
Answer: A
Question: S is the set of all fractions defined by the formula n/(n + 1), where n is a positive integer less than 20. What is the product C of all the fractions that are in S?
Choices:
1) 1/20
3) 1/2
4) 19/40
5) 19/20
Answer: A
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
Choices:
384
345
342
376
Answer: A
Question: The weight of a glass of jar is 20% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
Choices:
1/3
2/5
1/2
2/3
Answer: C
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 60?
Choices:
8
12
15
30
Answer: B
Question: If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph, then the man’s rate along the current is
Choices:
6 kmph
6.5 kmph
8.5 kmph
None
Answer: B
Question: The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
Choices:
179
210
223
229
Answer: A
Question: A 75-liter solution of cool-drink is made from 10% jasmine water. If 3.5 liters of jasmine and 9.5 liters of water were added to the solution, what percent of the solution is jasmine?
Choices:
12.5%
15.5%
17%
18.5%
Answer: A
Question: workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs. How many workers were they?
Choices:
400
500
560
650
Answer: B
Question: Carolyn bought 16 gumballs, Lew bought 14 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?
Choices:
18
24
26
28
Answer: A
Question: In a financial company investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value?
Choices:
1
2
4
3
Answer: C
Question: In a group of 12 engineers, 4 engineers have a PHD degree; the others have only an MS or BS degree. A team of 4 engineers is to be chosen which must have at least 1 engineer with a PHD, how many different teams can be chosen?
Choices:
70
245
425
555
Answer: C
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?
Choices:
3624
5673
4530
4566
Answer: A
Question: During the past week, a local fish market tested N fish for two infections. If 1/10 of those tested had infection A and, of those with infection A, 1/5 also had infection B, how many fish did not have both infection A and B?
Choices:
4N/15
14N/15
N/5
49N/50
Answer: D
Question: Vessel ‘A’ contains 150 litres of mixture of milk and water in the ratio of 3:1. Vessel ‘B’ contains 200 litres of the mixture in the ratio of 5:2. If the mixture from both the vessels are poured into vessel ‘C’, find the ratio of the resulting mixture.
Choices:
8 : 3
15 : 2
143 : 53
None of these
Answer: C
Question: One packet contains 2 black, 3 white and 2 red rubbers. 2 rubbers are drawn at random. What is the probability that none of the rubbers drawn is red?
Choices:
10/21
23/25
21/20
None
Answer: A
Question: A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 50 days starting with sunday is
Choices:
285
171
295
275
Answer: B
Question: A new savings account offers 9 percent annual interest compounded every 6 months. What would be the total balance in an account after 1 year, if the initial amount in the account were $6000?
Choices:
$84.40
$360.00
$6,360.00
$6,552.15
Answer: D
Question: A card board of size 34*14 has to be attached to a wooden box and a total of 35 pins are to
be used on the each side of the card box. find the total number of pins used.
Choices:
136
137
138
139
Answer: A
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 32. Find the profit percentage?
Choices:
50%
59%
40%
60%
Answer: D
Question: A started a business with Rs. 21,000 and is joined afterwards by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally?
Choices:
5
6
7
8
Answer: A
Question: How many integers n are there such that 1< 5n +5 < 40?
Choices:
3
4
5
7
Answer: D
Question: 0---:-|---:--|-:--:-|--:---|-:----1
On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance A between any two of the tick marks?
Choices:
1/35
2/35
1/12
1/7
Answer: A
Question: Which of the following triples of numbers have the same standard deviation as the numbers m, n and o?
I. m-2, n-2, o-2
II. 0, m-n, o-n
III. m-4, n+5, o-1
Choices:
II only
I and III only
II and I only
I, II, and III
Answer: C
Question: There are 11 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 11 points that contain the point A?
Choices:
45
182
210
455
Answer: A
Question: Alice has a jar of juice, and she drank 1/6 of the juice for lunch. If Alice drank 2/5 of the remaining juice for dinner, what fraction of the juice was left after dinner?
Choices:
1/2
1/4
2/5
3/5
Answer: A
Question: A, B and C invests Rs.4000, Rs.2000 and Rs.6000 in a business. After one year A removed his money; B and C continued the business for two more year. If the net profit after 3 years be Rs.3300, then A's share in the profit is?
Choices:
4000
2000
600
300
Answer: C
Question: A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 140, then how much amount should C pay as his share of rent?
Choices:
45
25
36
55
Answer: C
Question: If mn represents a positive two digit number, where m and n are single digit integers, which of the following cannot be true?
Choices:
(m)(n)=9
m-n = 9
n-m= 9
m/n = 9
Answer: C
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did C get in a profit of Rs.2430 ?
Choices:
s. 486
s. 822
s. 812
s. 810
Answer: A
Question: A photography dealer ordered 60 Model X cameras to be sold for $250 each, which represents a 10 percent markup over the dealer’s initial cost for each camera. Of the cameras ordered, 6 were never sold and were returned to the manufacturer for a refund of 50 percent of the dealer's initial cost. What was the dealer's approximate profit or loss as a percent of the dealer’s initial cost for the 60 cameras?
Choices:
13% loss
4% profit
13% profit
15% profit
Answer: B
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 30% on hers. If Mindy earned 2 times as much as Mork did, what was their combined tax rate?
Choices:
34%
22.5%
33.3%
37.5%
Answer: C
Question: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
Choices:
3
5
6
8
Answer: A
Question: If two integers x,y (x>y) are selected from -6 to 6 (inclusive), how many cases are there?
Choices:
74
78
82
86
Answer: B
Question: A and B can do a work in 18 day, B and C in 30 days, A and C in 22 (1/2) days. In how many days can A,B and C individually do the work?
Choices:
60,90,120
60,90,127
60,90,118
60,90,121
Answer: A
Question: A train has a length of 150 meters . it is passing a man who is moving at 3 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
Choices:
180 km/hr
152 km/hr
169 km/hr
183 km/hr
Answer: D
Question: In how many ways can the letters of word BISECTION be arranged such that NO two vowels appear together?
Choices:
5!*4!
4!*5!
5!*4!*2!
6!*4!
Answer: B
Question: If a, b, and c are consecutive even integers and a < b < c, all of the following must be divisible by 4 EXCEPT
Choices:
b + c
ac
(bc)/2
(abc)/4
Answer: A
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 3600 interest only for the period. The principal amount borrowed by him was:
Choices:
s. 10,000
s. 15,000
s. 18,000
s. 20,000
Answer: A
Question: To be eligible for retirement benefits at the Mankind Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 60. If a, where a <60, is a certain employee's age when hired and b is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between a and b?
Choices:
ab=60
a+2b=60
a+b=60
2a+b=60
Answer: B
Question: The set X = {11,12,13,14,15}. The set Y = {2,3,4,5}. We will randomly choose one element x from set X and one element y from set Y. What is the probability that x / y will be an integer?
Choices:
7/20
3/20
7/10
3/10
Answer: D
Question: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?
Choices:
180 km
178 km
188 km
111 km
Answer: A
Question: Find the area of the square field if a train 800 metres long passes the field with a speed of 120 kmph in one minute.
Choices:
2.44 sq. km
7.44 sq. km
1.45 sq. km
1.44 sq. km
Answer: D
Question: Two cars are driving toward each other. The first car is traveling at a speed of 90 km/h, which is 50% faster than the second car's speed. If the distance between the cars is 975 km, how many hours will it take until the two cars meet?
Choices:
6.5
7
7.5
8
Answer: A
Question: Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
Choices:
10
50
40
60
Answer: C
Question: If a + b > 0 and a * b < 0, which of the following must be true?
I. a > 0 or b > 0
II. a < 0 or b < 0
III. a and b have the same sign
Choices:
II only
III only
I and II only
I, II, and III
Answer: C
Question: Three printing presses, P, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take P, working alone at its constant rate, to do the same job?
Choices:
10
12
15
20
Answer: D
Question: what is the value of y if the greatest common divisor of (e+5)!,(e-2)!, and (e+2)! is 24.
Choices:
7
4
66
6
Answer: D
Question: What is the sum of the different positive prime factors of 640?
Choices:
7
10
15
17
Answer: A
Question: If two painters can complete two rooms in two hours, how many rooms painted if 10 painters work for 6 hours?
Choices:
25
20
30
15
Answer: C
Question: A person travels equal distances with speeds of 3km/hr, 6km/hr, 9km/hr. and takes a total time of 11minutes. Find the total distance ?
Choices:
500mts
900mts
2km
250mts
Answer: B
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.45 only. Menâ€™s wages are?
Choices:
7Rs
8Rs
4Rs
3Rs
Answer: D
Question: At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 7.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
Choices:
$1.00
$1.25
$1.50
$1.75
Answer: B
Question: A student gets 50% in one subject, 70% in the other. To get an overall of 70% how much should get in third subject.
Choices:
90%
45%
55%
65%
Answer: A
Question: A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn?
Choices:
4.8 cm
4.9 cm
5.0 cm
5.2 cm
Answer: A
Question: If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:
Choices:
-0.5,
-0.4
-0.2,
10.0
Answer: B
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
20%
45.8%
10.5%
31.6%
Answer: D
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
Choices:
3 days
5 days
6 days
7 days
Answer: A
Question: On the number line, if x is halfway between -8 and 4, and if y is halfway between -2 and 6, what number is halfway between x and y?
Choices:
-1
0
1
2
Answer: B
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
Choices:
2990
3000
3100
3158
Answer: D
Question: A car covers a distance of 624 km in 6 ½ hours. Find its speed?
Choices:
104
1267
198
621
Answer: A
Question: The ratio 5:20 expressed as percent equals to
Choices:
125 %
25 %
None of above
30%
Answer: B
Question: A woman on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Choices:
71.11 km/hr.
44.11 km/hr.
88.11 km/hr.
31.11 km/hr.
Answer: A
Question: The average (arithmetic mean) of the even integers from 24 to 48 inclusive is how much greater than the average (arithmetic mean) of the even integers from 12 to 24 inclusive?
Choices:
16
18
20
22
Answer: B
Question: The following sets each have a mean of 10 and the standard deviations are given in variable form.
Set I = {7, 8, 9, 11, 12, 13}, standard deviation = A
Set II = {10, 10, 10, 10, 10, 10}, standard deviation = B
Set III = {6, 6, 6, 14, 14, 14}, standard deviation = C
Rank these three standard deviations from least to greatest.
Choices:
A, C, B
B, A, C
B, C, A
C, B, A
Answer: B
Question: There are 200 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?
Choices:
100
99
50
25
Answer: A
Question: welve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. Sixteen adults left and four children joined them. How many days will they take to complete the remaining work?
Choices:
4 days
6 days
8 days
10 days
Answer: B
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:
Choices:
14 years.
55 years.
45 years.
61 years.
Answer: A
Question: Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $5 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:
8n + 4
9n + 2
9n + 3
9n + 4
Answer: D
Question: If two of the four expressions x+y, x+5y, x-y, and 5x-y are chosen at random, what is the probability T that their product will be of the form of x^2-(by)^2, where b is an integer?
Choices:
1/3
1/4
1/5
T=1/6
Answer: D
Question: If x = y+3+4.5x and y = x+17, what is the value of x/y ?
Choices:
-40/113.
1/4.
5/6.
1.5.
Answer: A
Question: The greatest number of four digits which is divisible by 15, 24, 40 and 75 is :
Choices:
9400
9600
9800
None of these
Answer: B
Question: Ashley paid 5 dollars for 1 notebook and 1 pencil. If both prices were integers, how many pencils did Ashley buy if she paid 93 dollars for the pencils and for 15 notebooks?
Choices:
16.
18
21
26
Answer: C
Question: The number of female students in a college in the previous year was 480. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
Choices:
1760
1840
1920
2000
Answer: C
Question: There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
Choices:
r / (r + b + w)
(r + b + w)
r / (r + b)
(r + b + w)*e
Answer: A
Question: A, B and C invest in a partnership in the ratio: 7/2,4/3,6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year is Rs.21,600, then what is B's share in the profit?
Choices:
2000
3000
4000
5000
Answer: C
Question: Each student at a certain business school is assigned a 5-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create?
Choices:
36,000
2,700
2,592
1,944
Answer: B
Question: A person borrows Rs. 7000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
Choices:
150 rs
140 rs
180 rs
200 rs
Answer: B
Question: If 13 = 13w/(1-w) ,then (6w)2 =
Choices:
1/2
1
2
6
Answer: D
Question: Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 20% in the following week, and increased by 30% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?
Choices:
1.2G
1.3G
1.4G
1.5G
Answer: B
Question: 8th Dec 2007 was Saturday, what day of the week was it on 8th Dec, 2006?
Choices:
Tuesday
Friday
Tuesday
Thursday
Answer: B
Question: The captain of a cricket team of 11 members is 27 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
22
23
24
25
Answer: C
Question: If the operation x is defined by a x b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then − 1 x (1 x − 1) =
Choices:
0
1
25
29
Answer: C
Question: A bus leaves the stop 30 minutes before the scheduled time. The driver decreases its speed by 30km/hr. At the next bus stop 180 km away, the bus reached on time. Find the original speed of the bus?
Choices:
120 kms/hr
130 kms/hr
140 kms/hr
None of above
Answer: A
Question: The inverse ratio of 3: 2: 1 is?
Choices:
2:3:1
3:1:2
2:3:6
None of these
Answer: C
Question: Look at this series: 4, 2, 1, (1/2), (1/4), ... What number should come next?
Choices:
1/8
1/4
1/2
1/5
Answer: A
Question: A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 3 runs. His new average is:
Choices:
65 runs
70 runs
75 runs
78 runs
Answer: D
Question: A car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a. What is the monthly instalment?
Choices:
$504
$505
$506
$507
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. After how much time will the trains meet?
Choices:
10/3 sec
20/7 sec
22/7 sec
60/7 sec
Answer: A
Question: If 21/22 = 0.95.45, what is the 57th digit to the right of the decimal point of the fraction?
Choices:
4
5
7
9
Answer: A
Question: 16 men can complete a piece of work in 28 days. In how many days can 20 men complete that piece of work?
Choices:
77 days
22.4 days
88 days
44 days
Answer: B
Question: John 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: The diagonals of a rhombus are 14 cm and 20 cm. Find its area?
Choices:
190
140
278
292
Answer: B
Question: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability Q that exactly two visitors will buy a pack of candy?
Choices:
0.147
0.189
0.063
0.027
Answer: B
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
589 m
600 m
200m
Answer: A
Question: A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent Q above the cost price were his articles marked?
Choices:
100%
75%
66+2/3%
50%
Answer: A
Question: Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Choices:
1/5
1/3
1/4
1/6
Answer: C
Question: Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 6 days?
Choices:
18
16
12
8
Answer: C
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is?
Choices:
17/25
17/28
17/65
17/39
Answer: A
Question: A man's speed with the current is 21 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?
Choices:
20
16
30
40
Answer: B
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
27
30
29
12
Answer: B
Question: After 6 games, team B had an average of 70 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?
Choices:
74
67
33
28
Answer: C
Question: 18 balls are numbered 1 to 18. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
Choices:
4/17
6/29
8/35
10/43
Answer: A
Question: How many different 4 letter combinations can be created from the letters M,N,O, and P?
Choices:
16
32
96
256
Answer: D
Question: If an integer n is to be chosen at random from the integers 1 to 86, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?
Choices:
3/8
1/2
55/86
3/4
Answer: C
Question: A car gets 20 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 130 kilometers?
Choices:
7.5 gallons
6.5 gallons
5.5 gallons
4.5 gallons
Answer: B
Question: When the positive integer j is divided by 9, the remainder is 5. What is the remainder when 3j is divided by 9?
Choices:
1
3
4
6
Answer: D
Question: Out of 250 students of a college, 160 play football, 90 play cricket and 50 neither play football nor cricket. How many students play both football and cricket?
Choices:
40
50
60
70
Answer: B
Question: The ratio of the cost price and the selling price is 4:5. The profit percent is:
Choices:
45%
25%
70%
50%
Answer: B
Question: Frederick invested Rs.14000 in a business which he jointly owns with two other persons (James and Greg). If his share of a profit of Rs.1500 is Rs.600 and Greg's share is Rs.300, what is James' capital?
Choices:
12500
1270
12505
12540
Answer: A
Question: The probability that A speaks truth is 2/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
17/35
18/39
18/33
18/31
Answer: A
Question: The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Choices:
20
37
26
17
Answer: A
Question: Pipe A can fill a tank in 2 hours. Due to a leak at the bottom, it takes 4 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
5
6
4
1
Answer: C
Question: Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?
Choices:
Seven hours and 30 minutes.
Eight hours and 20 minutes.
Nine hours and 15 minutes.
Ten hours and 20 minutes.
Answer: A
Question: If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?
Choices:
8.
7
2.
-2
Answer: D
Question: An eccentric casino owner decides that his casino should only use chips in $3 and $7 denominations. Which of the following amount cannot be paid out using these chips?
Choices:
$24
$23
$25
$21
Answer: C
Question: If 5^27 * 4^14 = 2 * 10^n, what is the value of n?
Choices:
21
22
23
27
Answer: D
Question: If y is the smallest positive integer such that 31,360 multiplied by y is the square of an integer, then y must be
Choices:
10
61
72
14
Answer: A
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 34 minutes, then the slower pipe alone will be able to fill the tank in
Choices:
140 mins
136 mins
132 minw
None of these
Answer: B
Question: The average height of 35 boys in a class was calculated as 181cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).?
Choices:
179.29 cm
978.29 cm
178.89 cm
176.29 cm
Answer: A
Question: At 6'o clock clock ticks 6 times. The time between first and
last ticks was 30sec. How much time it takes at 7'o clock.
Choices:
36sec
66sec
64sec
76sec
Answer: A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18
15
20
25
Answer: A
Question: If x -5 > -3 and x - 3 < 4, the value of x must be between which of the following pairs of numbers?
Choices:
-3 and 4
2 and 7
3 and 4
3 and 10
Answer: B
Question: In X game of billiards, X can give Y 20 points in 45 and he can give Z 30 points in 45. How many points can Y give Z in X game of 100?
Choices:
20
25
40
50
Answer: C
Question: A tap can fill a tank in 10 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
5hr 45min
4hr
3hr 25min
2hr 10min
Answer: A
Question: How many different number-plates for cars can be made if each number-plate contains four of the digits 0 to 9 followed by a letter A to Z, assuming that repetition of digits is allowed?
Choices:
2.6 * 10^5
26 * 10^5
26 * 10^4
30 * 10^4
Answer: A
Question: If 216 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
Choices:
36
20
18
22
Answer: A
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
Choices:
50 kmph
11 kmph
19 kmph
16 kmph
Answer: A
Question: Adidas company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (ie. two to one truck, one to another, and one to another). In how many different ways could the boxes be put on the four trucks?
Choices:
64
256
576
4096
Answer: B
Question: Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 130 mangoes.
Choices:
380
400
406
433
Answer: D
Question: A committee of three people is to be chosen from four teacher-student pairs. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
24
26
30
32
Answer: D
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Choices:
10 2/3
11 2/3
12 2/3
16 2/3
Answer: A
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5
267
268
281
Answer: A
Question: Joe invested a certain sum of money in a simple interest bond whose value grew to $460 at the end of 3 years and to $560 at the end of another 5 years. What was the rate of interest in which he invested his sum?
Choices:
4%
5%
6%
7%
Answer: B
Question: 3(1/2) + 5(1/5) + ? + 2(1/4) = 11(1/3)
Choices:
13/60
23/60
29/60
None of these
Answer: B
Question: A number x is 11 times another number y. The percentage that y is less than x is
Choices:
90.9
91.7
11%
1%
Answer: A
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Choices:
1/3
1/4
1/1
1/2
Answer: A
Question: In the coordinate plane, a circle centered on point (-3, -4) passes through point (-1, 1). What is the area of the circle?
Choices:
18π
29π
37π
41π
Answer: B
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18%
15%
11%
12%
Answer: A
Question: If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
20:15:15
20:15:12
20:15:14
20:15:11
Answer: B
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
Choices:
50 kmph
40 kmph
70 kmph
80 kmph
Answer: A
Question: There is a circle of radius 2. What is the perimeter of the biggest rectangle that can be cut out of this circle?
Choices:
4âˆš8
2âˆš6
16
5
Answer: A
Question: Yearly subscription to professional magazines cost a company $940.00. To Make a 20% cut in the magazine budget, how much less must be spent?
Choices:
752
656
657
658
Answer: A
Question: 24 * 22 = ? / 8
Choices:
4224
5374
2434
4254
Answer: A
Question: The speed of a boat in still water in 30 km/hr and the rate of current is 7 km/hr. The distance travelled downstream in 36 minutes is:
Choices:
20.6 km
21.4 km
1111 km
22.2 km
Answer: D
Question: The speed of a train is 90 kmph. What is the distance covered by it in 15 minutes?
Choices:
66
22.5
52
42
Answer: B
Question: A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.08. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fourth day it is overdue?
Choices:
$0.62
$0.80
$0.90
$1.00
Answer: A
Question: A sock drawer contains 4 socks, each one a different solid color. The colors of the socks are green, 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
6
36
42
Answer: B
Question: The marks obtained by Polly and Sandy are in the ratio 5:6 and those obtained by Sandy and Willy are in the ratio of 9:7. The marks obtained by Polly and Willy are in the ratio of...?
Choices:
11:10
13:12
15:14
17:16
Answer: C
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
9
5
1
Answer: A
Question: During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets sold W was 25,200, how many of them were sold at full price?
Choices:
19,800
16,500
15,800
8,700
Answer: B
Question: In how many ways can 3 postcards can be posted in 5 postcards?
Choices:
120
125
130
100
Answer: B
Question: If a/b = 1/7, b/c = 3, c/d = 2/3, d/e = 2 and e/f = 1/2, then what is the value of abc/def ?
Choices:
27/85
34/47
13/81
16/21
Answer: D
Question: Six computers, each working at the same constant rate, together can process a certain amount of data in 12 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 4 days?
Choices:
5
6
9
12
Answer: D
Question: Find a sum for 1st 5 prime no.'s?
Choices:
28
30
32
34
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
3944
2999
2667
2121
Answer: A
Question: If 9975 kg of wheat is packed in 95 bags, how much wheat will each bag contain?
Choices:
105
119
218
288
Answer: A
Question: An assembly line produces 30 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time?
Choices:
40
48
52
56
Answer: A
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 44 years, was replaced by a new person. Find the age of the new person?
Choices:
56
12
17
14
Answer: D
Question: x is a set containing 8 different positive odd numbers. y is a set containing 7 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
Choices:
The mean of x is even.
The mean of y is even.
The range of x is equal to the range of y.
The median of y is equal to the mean of y.
Answer: B
Question: The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is
Choices:
37
84
29
21
Answer: B
Question: A horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 18 m long. Over how much area of the field can it graze?
Choices:
308 m2
254 m2
260 m2
None of these
Answer: B
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
Choices:
15 : 2
20 : 2
25 : 2
None of these
Answer: C
Question: The average weight of A, B and C is 43 kg. If the average weight of A and B be 48 kg and that of B and C be 42 kg, then the weight of B is:
Choices:
53 kg
49 kg
52 kg
51 kg
Answer: D
Question: The average of six numbers is 3.95. The average of two of them is 3.3, while the average of the other two is 3.85. What is the average of the remaining two numbers?
Choices:
4.6
4.7
4.8
4.9
Answer: B
Question: For the positive numbers, n+3, n + 4, n + 6, n + 8, and n + 9, the mean is how much greater than the median?
Choices:
0
n+l
n+2
n+3
Answer: A
Question: The average of first six prime numbers which are odd is?
Choices:
15.7
9.3
15.8
15.1
Answer: B
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
13
16
10
15
Answer: C
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
18 days
20 days
22 days
28 days
Answer: B
Question: A certain fruit stand sold apples for $0.70 each and bananas for $0.60 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase?
Choices:
9
10
11
12
Answer: B
Question: Sagar purchased 10 kg of rice at the rate of Rs. 15 per kg and 25 kg of rice at the rate Rs. 14 per kg. He mixed the two and sold the mixture. Approximately at what rate per kg should he sell the mixture to make 40 % profit in the transaction?
Choices:
Rs. 20.00
Rs. 15
Rs. 17.5
None of these
Answer: A
Question: The cost of 3 pens and 5 pencils is Rs.200. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens?
Choices:
Rs.250
Rs.300
Rs.150
Rs. 600
Answer: D
Question: The sum of two numbers is 16. The difference is 4. What are the two numbers?Let x be the first number. Ley y be the second number
x + y = 16
x - y = 4
Choices:
10 and 6
10 and 4
10 and 3
10 and 2
Answer: A
Question: There are 28 balls which are red, blue or green. If 12 balls are green and the sum of red balls and green balls is less than 24, at most how many red balls are there?
Choices:
12
11
13
14
Answer: B
Question: At a certain restaurant, 30 percent of the servers reported their tips, while 40 percent of the servers who were tipped didn't report their tips. What percent of the servers were tipped?
Choices:
60%
50%
70%
80%
Answer: B
Question: The value of a machine depreciates at the rate of 10% per year. If its present is Rs.1,62,000 what will be its worth after 2 years ? What was the value of the machine 2 years ago ?
Choices:
100000
150000
200000
None of them
Answer: C
Question: In the first 10 overs of a cricket game, the run rate was only 4.6. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
5.9
6.25
7
7.5
Answer: A
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 98.01, the number of the member is the group is:
Choices:
67
77
99
97
Answer: C
Question: A certain tire company can produce tires at a cost of $22,500 per batch plus $6 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000
tires is produced and sold, what is the company’s profit per tire?
Choices:
$9.50
$11.00
$13.50
$12.50
Answer: D
Question: A rower can row 5 km/h in still water. When the river is running at 2 km/h, it takes the rower 1 hour to row to Big Rock and back. How many kilometers is it to Big Rock?
Choices:
1.8
2.1
2.4
2.7
Answer: B
Question: A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement?
Choices:
1700
3000
2700
2600
Answer: A
Question: 4, 8, 16, 28, 44, ?
Choices:
64
74
57
32
Answer: A
Question: Priya and her father differ in their ages by 31 years. After 8 years. if the sum of their ages will be 69, their present ages are
Choices:
11, 42
15, 42
16, 19
33, 44
Answer: A
Question: A reduction of 10% in the price of tea enables a dealer to purchase 25 kg more tea for Rs. 22500. What is the reduced price per kg of tea?
Choices:
Rs. 80
Rs. 90
Rs. 100
None
Answer: B
Question: Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?
Choices:
25
26
27
29
Answer: A
Question: In how many ways can the letters of word IMAGINATION be arranged such that all the vowels as well as all the Consonants always appear together?
Choices:
5!*4!
5!*5!
5!*4!*2!
6!*5!*2!
Answer: D
Question: When positive integer N is divided by positive integer J, the remainder is 18. If N/J = 134.03, what is value of J?
Choices:
56
78
112
600
Answer: D
Question: The rate of spin of a certain gyroscope doubled every 15 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 400 meters per second, what was the speed, in meters per second, when the stopwatch was started?
Choices:
25/4
25/8
25/16
25/32
Answer: A
Question: A train covers a distance of 15 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
m
m
m
m
Answer: B
Question: A man purchases the milk at Rs. x/litre and sells it at Rs. 2x/liter stillhe mixes 2liters waterwith every 6liters of pure milk. What is the profit %?
Choices:
134%
145%
166.66%
186.66%
Answer: C
Question: In the xy-plane, line k passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line k?
Choices:
3x+2y-5=0
2x-3y-12=0
2x+3y=0
4x+3y-6=0
Answer: A
Question: A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of wall?
Choices:
7 1⁄3 days
6 1⁄3 days
7 days
None of these
Answer: A
Question: The probability that A speaks truth is 7/9 and that of B speaking truth is 9/13. What is the probability that they agree in stating the same fact?
Choices:
111/117
157/195
192/235
None of these
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
50
48
76
34
Answer: B
Question: James have 10 parrots, 4 fishes, 9 rabbits and 6 dogs.How many pets does he have in all?
Choices:
11
9
15
29
Answer: D
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 58.What score does he need on his fifth round to drop his average score by 2 points?
Choices:
48
78
88
312
Answer: A
Question: Find the odd man out. 18, 7, 12, 24, 48, 34, 46
Choices:
46
24
11
7
Answer: D
Question: In what ratio must rice at Rs.7.10 be mixed with rice at Rs.9.20 so that the mixture may be worth
Rs.8 per Kg?
Choices:
2 : 1
3 : 2
4 : 3
None of these
Answer: C
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
13
14
15
18
Answer: C
Question: Taps A and B can fill a bucket in 10 minutes and 15 minutes respectively. If both are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket?
Choices:
7 min. 30 sec.
7min. 25 sec
7 min.35 sec.
8min. 20 sec.
Answer: A