antoine-444/aqua_rat_dataset huggingface dataset:
Question: In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true?
I. 0 < t < h
II. c < t < h
III. (c/4) < t < (h/4)
Choices:
a) I only
c) III only
d) I and II
e) I and III
Answer: A
Question: If a sequence of 8 consecutive odd integers with increasing values has 7 as its 7th term, what is the sum of the terms of the sequence?
Choices:
6
8
12
16
Answer: D
Question: According to a survey conducted in two countries, China and India, 20% of the population are vegetarians. If the ratio of the population is 14:13, respectively, and the percentage of Chinese who are vegetarian is 5%, what percentage of Indians are vegetarians?
Choices:
54%
25%
36%
47%
Answer: C
Question: A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:
Choices:
Rs. 160
Rs. 240
Rs. 300
None
Answer: B
Question: The area of a square is 6400 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 30 cm less than the side of the square?
Choices:
5:24
5:13
5:22
5:18
Answer: A
Question: If z is the sum of x and y, then which one of the following must equal x – y ?
Choices:
x-2y
x+y
z-2y
2z-y
Answer: C
Question: Pipe A can fill a tank in 3 hours, pipe B in 15 hours and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled ?
Choices:
2 hours
3.5 hours
3 hours
None of these
Answer: D
Question: Find the value of X, Y by solving the below equations
X + Y = 5
X - Y = -3
Choices:
3, 2
1, 4
4, 6
5, 4
Answer: B
Question: A pupil's marks were wrongly entered as 85 instead of 45. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
Choices:
80
20
25
26
Answer: A
Question: A batch of widgets costs p + 15 dollars for a company to produce and each batch sells for p(10 – p) dollars. For which of the following values of p does the company make a profit?
Choices:
9
8
6
7
Answer: C
Question: Two quarts containing 2⁄5 water and 4⁄5 formula are mixed with three quarts containing 3⁄10 water and 2⁄10 formula. Approximately what percent of the combined five-quart mixture is water?
Choices:
34%
38%
40%
45%
Answer: A
Question: A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
Choices:
36 min
31 min
40 min
49 min
Answer: C
Question: How many positive integers less than 100 have a remainder of 3 when divided by 13?
Choices:
7
8
9
3
Answer: D
Question: If k and s are positive integers such that (2^k)(4^s) = 16, then 2k + s =
Choices:
3
4
5
6
Answer: C
Question: A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
15 sec
12 sec
15 sec
18 sec
Answer: A
Question: Two whole numbers whose sum is 36 cannot be in the ratio
Choices:
3:4
3:6
1:3
3:36
Answer: A
Question: What is 3/4 of 4/5 of 2/3?
Choices:
2/5
9/16
5/8
16/9
Answer: A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is?
Choices:
500
266
188
123
Answer: A
Question: By selling a watch for Rs.720/-, a man loses 20% what is that watch cost price
Choices:
s. 800/-
s. 880/-
s. 900/-
s. 990/-
Answer: C
Question: A girl was asked to state his age in years. Her reply was , "Take my age 5 years hence, multiply it by 5 and subtract 5 times my age 5 years ago and you will know how old I am." What was the age of the person ?
Choices:
50
27
26
19
Answer: A
Question: A man purchases 2 watches for $ 580. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Choices:
$210 and $ 350
$224 and $336
$560 and $560
$232 and $ 348
Answer: D
Question: A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were employed and the work finished one day earlier. How many days would it have been delayed if 5 more men were not employed?
Choices:
1
3
4
5
Answer: A
Question: If y exceeds x by 10%, then x is less than y by?
Choices:
1/5%
1/7%
1/9%
1/11%
Answer: D
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration E of the acid in the mixture?
Choices:
1/3
1/4
1/6
1/5
Answer: C
Question: David walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 4 hours 20 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways.
Choices:
4 h 15 min
6 h
7 h
6 h 20 min
Answer: D
Question: Two trains each 150 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
7.2 sec
8.2 sec
6.2 sec
9.2 sec
Answer: A
Question: A bag contains 4 white balls, 4 black balls, and 2 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Choices:
1/5
3/8
5/11
2/7
Answer: A
Question: If x/y =3/2, then (x-y)/x?
Choices:
-1/3
1/3
1/2
5/2
Answer: B
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Choices:
278
364
378
389
Answer: B
Question: Tim and Tom are workers in a department that has a total of 5 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
Choices:
1/10
7/10
4/11
2/11
Answer: A
Question: The population of a town increases 25% and 40% respectively in two consecutive years. After the growth the present population of the town is 1750. Then what is the population of the town 2 years ago?
Choices:
B)800
C)850
D)900
E)950
Answer: A
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 15% if no discount was offered?
Choices:
17606
17604
18400
117601
Answer: C
Question: A certain number when divided by 899 leaves the remainder 63. Find the remainder when the same number is divided by 29.
Choices:
5
1
0
Can not be determined
Answer: A
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be a king or a queen, and the other card will be a jack? A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.
Choices:
3/32
3/64
4/169
8/169
Answer: C
Question: A fruit seller sells mangoes at the rate of Rs.16 per kg and thereby loses 12%. At what price per kg, he should have sold them to make a profit of 20%?
Choices:
Rs.21.81
Rs.12.25
Rs.12.31
None
Answer: A
Question: If 90% of A = 30% of B and B = C% of A,then the value of C is ?
Choices:
800
600
300
None
Answer: C
Question: The sum of three consecutive numbers is 63. The greatest among these three number is:
Choices:
28
29
22
31
Answer: C
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Choices:
Rs.3920
Rs.3972
Rs.3979
Rs.3962
Answer: B
Question: Total dinning bill for 9 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
Choices:
45.14
34.66
26.96
33.16
Answer: C
Question: Find the fourth proportional to 2.8 , 3.4 and 5.2?
Choices:
6.14
6.29
6.31
5.64
Answer: C
Question: Johnny bought six peanut butter cans at an average price (arithmetic mean) of 37.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31¢, then what is the average price, in cents, of the two returned peanut butter cans?
Choices:
11
47.5
50.5
67.5
Answer: C
Question: The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the some of the ages of his sons. The father’s present age is :
Choices:
36 years
42 years
45 years
None
Answer: C
Question: The temperature in Winnipeg, Manitoba was 4 degrees Fahrenheit. At 8 pm the temperature was was -10 degrees Fahrenheit. What is the difference between the temperatures?
Choices:
-14
14
-6
0
Answer: C
Question: A man's age is 125% of what it was 10 years ago, but 83 X 1/3% of what it will be after 10years. What is his present age?
Choices:
60
50
70
80
Answer: B
Question: A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 25600.
Choices:
Rs. 8500
Rs. 7200
Rs. 8000
None of these
Answer: C
Question: A caterer ordered 225 ice-cream bars and 125 sundaes. If the total price was $200.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae?
Choices:
$0.52
$1.00
$1.20
$1.60
Answer: A
Question: The average of the two-digit numbers, which remain the same when the digits interchange their positions, is?
Choices:
88
55
86
26
Answer: B
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Choices:
270 m
278 m
279 m
917 m
Answer: A
Question: If the positive integer x is divisible by 3, 8, and 12, then which of the following must x be divisible by?
I. 24
II. 26
III. 48
Choices:
I only
I and II only
II and III only
I, II, and III
Answer: A
Question: Three unbiased coins are tossed. What is the probability of getting at most two heads?
Choices:
7/8
1/2
5/4
3/8
Answer: A
Question: The division of a whole number N by 10 gives a quotient of 15 and a remainder of 2. Find N.
Choices:
152
597
997
297
Answer: A
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold $510 kilograms of pears that day, how many kilograms did he sell in the afternoon?
Choices:
180
340
280
320
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
115/122
125/126
125/122
125/112
Answer: B
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
369
277
270
782
Answer: C
Question: Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Saturday, how many croissants will Marina eat on the 30th of that month?
Choices:
1
3
5
6
Answer: A
Question: The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?
Choices:
33 1/3%
33 1/3%
32 1/3%
33 1/2%
Answer: A
Question: In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount Q in 1996 as they paid in 1995?
Choices:
33 1⁄3%
50%
66 2⁄3%
100%
Answer: A
Question: If 2x + y = 7 and x + 2y = 5, then 7xy/3 =?
Choices:
B) 2
C) 7
D) 18/5
E) 4
Answer: B
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
9680
2789
7892
2792
Answer: A
Question: The ages of two person differ by 20 years. If 10 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively
Choices:
25, 5
29, 9
35, 15
20,10
Answer: C
Question: Sum of ages of two friends is 28 while difference is 4 then their ages are
Choices:
10 years, 18 years
24 years, 4 years
18 years, 16 years
None
Answer: B
Question: 2^3,5^2,6^1 Find largest Value?
Choices:
3
1
10
25
Answer: D
Question: WHEN A PERSON SELLS TWO ITEMS $900 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
Choices:
4% loss
1% loss
2% gain
5% gain
Answer: A
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 that out of the two, one is white and one is blue?
Choices:
41/56
13/28
15/28
5/14
Answer: C
Question: There are 3 teams each with 7 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Choices:
23
147
28
45
Answer: B
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Choices:
127
12
18
25
Answer: D
Question: A farmer is planting a row consisting of 4 unique apple trees and 3 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
Choices:
576
1,024
288
10,080
Answer: C
Question: How many pieces of 75 cm can be cut from a rope 52.5 meters long?
Choices:
40
60
None
Cannot be determined
Answer: C
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 6 boys when No boy gets more than one prize?
Choices:
114
117
120
127
Answer: C
Question: An investment receives 20% annual interest compounded semi-annually for 2 years. If its final value is $29,200, approximately what was the initial investment?
Choices:
$ 18,000
$ 19,000
$ 20,000
$ 21,000
Answer: C
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
Choices:
656 min
144 min
877 min
555 min
Answer: B
Question: Three candidates contested an election and received 1136, 7636 and 21628 votes respectively. What percentage of the total votes did the winning candidate got
Choices:
56%
57%
71.1%
59%
Answer: C
Question: In how many ways can 10 books be arranged on a shelf such that a particular pair of books should always be together?
Choices:
2!
3! * 2!
9! * 2!
9! * 5!
Answer: C
Question: A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price t of the machine?
Choices:
100
120
135
160
Answer: B
Question: P and Q be centers of two circle having radius 200cms. These circle intersect each other at some point A and B. Length of PQ is 250 cms. What will the angle AQP be?
Choices:
between 0 to 45
between 0 to 60
between 0 to 75
between 0 to 100
Answer: A
Question: a survey of n people in the town of badaville found that 50% of them prefer brand A.another survey of 100 people in the town of Chotaville found that 60% prefer brand A.In total 55% of all the people surveyed prefer brand A.What is the total number of people surveyed?
Choices:
200
300
400
500
Answer: A
Question: The average age of 36 students in a group is 14 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Choices:
36
41
51
None
Answer: C
Question: The average age 18 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
99
77
26
36
Answer: D
Question: Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
82
80
107
36
Answer: C
Question: A group of n students can be divided into equal groups of 4 with 3 student left over or equal groups of 5 with 3 students left over. What is the sum of the two smallest possible values of n?
Choices:
66
49
53
86
Answer: A
Question: A and B start a business with Rs.1500 and Rs.3000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:1
1:2
3:9
Answer: C
Question: A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus his overall profit percentage is 255. Find the value of k?
Choices:
8.25%
10%
12.5%
None
Answer: B
Question: Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?
Choices:
24
26
28
30
Answer: A
Question: A train running at the speed of 56 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
140
278
277
112
Answer: A
Question: A train which is 150m. long passes a platform of 200 m in 15 sec. What is the speed of the train?
Choices:
64 km/hr
84 km/hr
91 km/hr
95 km/hr
Answer: B
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 15 brown mice in the experiment, how many mice in total are in the experiment?
Choices:
45
26
21
10
Answer: A
Question: If you divide 7^777 by 5, which remainder do you get?
Choices:
1
2
3
4
Answer: B
Question: If y exceeds x by 10%, then x is less than y by?
Choices:
16 3/3%
16 2/3%
12 2/3%
9 1/11%
Answer: D
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choices:
2889
2830
2878
3000
Answer: D
Question: A gardener increased the length of a rectangle-shaped garden by 20 percent and decreased its width by 5 percent. The area of the new garden
Choices:
has increased by 14 percent
has increased by 7 percent
is exactly the same as the old area
cannot be expressed in percentage terms without actual numbers
Answer: A
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 52% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Choices:
50%
25%
17%
10%
Answer: C
Question: In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 157300 was their profit, how much amount did B receive?
Choices:
48200
48400
48600
None of these
Answer: B
Question: At what time between 2 and 3 o'clock will the hands of a clock be together?
Choices:
120/22
120/19
120/11
120/112
Answer: C
Question: The purchase price of an article is $48. In order to include 15% of cost for overhead and to provide $12 of net profit, the markup should be
Choices:
25%
35%
40%
45%
Answer: C
Question: (422+404)^2−(4×422×404)=?
Choices:
324
343
348
322
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
234
285
345
244
Answer: B
Question: If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
Choices:
59
61
63
65
Answer: B
Question: there are 10 girls and 20 boys in a classroom. what is the ratio of girls to boys?
Choices:
1/2
1/5
10/30
2/5
Answer: A
Question: Rahul is 30 years older than his daughter Mary. In 20 years Rahul will be twice as old as Mary. What is Mary current age.
Choices:
14
10
16
18
Answer: B
Question: In how many T ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Choices:
T=144
T=12
48
96
Answer: A
Question: The first term in a sequence is 1 and the second term is 21. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 38th term in the sequence?
Choices:
11
21
38
49
Answer: A
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
2.8
2.5
4.7
2.7
Answer: B
Question: During 2001, a stock lost 40 percent of its value. During the following year, the stock's value increased by 200 percent. Which of the following is the percent change in the stock's value during those two years?
Choices:
40 percent decrease
20 percent increase
80 percent increase
140 percent increase
Answer: C
Question: 2, 6, 14, 26, 42, ?
Choices:
62
74
57
32
Answer: A
Question: The average of five integers is 63, and none of these integers is greater than 100. If the average of three of the integers is 65, what is the least possible value of one of the other two integers?
Choices:
15
20
21
30
Answer: B
Question: According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 6 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
Choices:
34
50
67
50
Answer: D
Question: There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 36 possible combinations in which Michael is not selected, what is the value of n?
Choices:
9
10
11
12
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.3700
Rs.3800
Rs.3900
Rs.4000
Answer: C
Question: A book was sold for Rs 27.50 with a profit of 10%. if it were sold for Rs25.75, then what would be % of profit or loss?
Choices:
Loss 5%
Profit 3%
Loss 3%
Profit 4%
Answer: B
Question: A thief steels a car at 6a.m. and drives it at 50kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 70 kmph. When will he overtake the thief?
Choices:
9.30a.m.
10a.m.
11.45a.m.
10.15a.m.
Answer: A
Question: Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there ?
Choices:
32
34
36
38
Answer: A
Question: a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 30000rs,what is the value of buzness?
Choices:
160000
170000
60000
70000
Answer: C
Question: In what time will a train 100 m long cross an electric pole, it its speed be 162 km/hr?
Choices:
2.9
2.4
2.8
2.22
Answer: D
Question: A basket has 5 oranges and 4 oranges. Three fruits are picked at random. The probability that at least 2 oranges are picked is
Choices:
1/23
25/42
34/57
3/41
Answer: B
Question: The volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
8:5
2:2
8:2
2:8
Answer: A
Question: 1, 2, 3, 10, ?, 9802
Choices:
99
73
28
27
Answer: A
Question: A shopkeeper sells 300 metres of cloth for Rs. 9000 at a loss of Rs.6 per metre. Find his cost price for one metre of cloth?
Choices:
s.58
s.36
s.46
s.13
Answer: B
Question: Andrew travelling to 7 cities. Gasoline prices varied from city to city.
$1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.83. What is the median gasoline price?
Choices:
$1.83
$1.92
$2.13
$2.15
Answer: A
Question: Anu can do a work in 6 days and Binu alone in 9 days. Anu and Binu undertook to do it for Rs.4800. With help of Minu, they completed the work in 3 days. How much is to be paid to Minu and Anu?
Choices:
s.2000, Rs.750
s.750, Rs.2000
s.800, Rs.2400
s.900, Rs.1250
Answer: C
Question: A bowl was filled with 10 ounces of water, and 0.007 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
0.40%
4%
3.5%
Answer: D
Question: xa=yb=zc and y2=xz. Find b.
Choices:
2ac/a+c
1ac/a+c
6ac/a+c
3ac/a+c
Answer: A
Question: If (y - 1)(z + 1) + 4(z - 3) = 0, then which of the following must be true?
Choices:
y = 4 or z = -3
y = -4 or z = 3
y = 1 and z = 3
y = 1 or z = - 3
Answer: C
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 6x km.
Choices:
48
24
19
12
Answer: A
Question: The sum of a number and the number preceding it is 33. By how much is two less than six times the
number?
Choices:
94
90
100
120
Answer: C
Question: A seller has 1000 kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
Choices:
350 kg
550 kg
600 kg
700 kg
Answer: C
Question: An equity analyst needs to select 3 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 7, in how many ways can she choose and rank her top 3 picks?
Choices:
35
210
420
840
Answer: B
Question: How many positive integers less than 300 can be formed using the numbers 1, 2, 3 and 5 for the digits?
Choices:
52
66
68
84
Answer: A
Question: 70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 25.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
Choices:
two
three
four
five
Answer: A
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 3 different offices?
Choices:
6
7
8
9
Answer: D
Question: Simplify the following 515*515*515-221*221*221/(515*515+515*221+221*221)
Choices:
294
284
274
264
Answer: A
Question: f1 (x) = x 0 ≤ x ≤ 1
= 1 x ≥ 1
= 0 otherwise
f2 (x) = f1(–x) for all x
f3 (x) = –f2(x) for all x
f4 (x) = f3(–x) for all x
How many of the following products are necessarily zero for every x:
f1(x) f2 (x), f2 (x) f3 (x), f2(x) f4 (x)
Choices:
1
2
3
4
Answer: B
Question: If the simple interest on a certain sum of money for 6 years is one–fifth of the sum, then the rate of interest per annum is
Choices:
3.3%
6.1%
5.0%
3.1%
Answer: A
Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 50% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 75 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Choices:
20
30
40
50
Answer: C
Question: The speed at which a man can row a boat in still water is 22 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres?
Choices:
11.53
15.69
14.56
18.98
Answer: A
Question: In measuring the sides of a rectangle, one side is taken 20% in excess and the other 10% in deficit. Find the error per cent in area calculated from the measurement?
Choices:
10% excess
8% excess
9% excess
none of these
Answer: B
Question: Insert the missing number
2, 4, 8, ..., 32, 64, 128, 256
Choices:
14
16
13
18
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:
3546577
3546546
7565643
1083875
Answer: D
Question: Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 7 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
Choices:
5
6
7
8
Answer: D
Question: The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?
Choices:
17 years
18 years
20 years
58 years
Answer: C
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $2,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
Choices:
19,500
25,500
26,500
27,500
Answer: A
Question: What is the value of (12 + 22 + 32 + 42 + ----- + 102)
Choices:
324
385
391
399
Answer: B
Question: 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.
Choices:
4 days
2 days
8 days
10 DAYS
Answer: A
Question: C and D are tying water balloons for a party. 5 out of every 8 balloons that C ties does not pop, and 2 out of every 3 balloons that D ties does not pop. If they each tie 120 balloons, what fraction of the 240-pack will pop?
Choices:
85/240
155/240
140/240
60/240
Answer: A
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 72 km/hr. What is the length of the platform?
Choices:
240
288
277
320
Answer: D
Question: 20 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Choices:
87
40
99
77
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
27
29
12
Answer: A
Question: A bag contains 3 white balls, 3 black balls, and 4 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Choices:
0.15
0.35
0.45
0.4
Answer: D
Question: An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference V between the highest and the lowest incentive received by the 5 salesmen in the month?
Choices:
$5000
$9000
$11,000
$13,000
Answer: C
Question: If a is an even integer and b is an even integer and a > b which of the following must be an odd integer :
Choices:
ab
2a+b
2(a+b)
none of these
Answer: D
Question: A farm is made up of brown and white goats. the number of male brown goats is 35% less than the total number of brown goats. The total number of female goats is 20 times more than the number of female brown goats. If the total population of male goats is half the population of the female goats, what percentage of male goats are brown?
Choices:
20.5
15.2
10.2
28.6
Answer: D
Question: When a person aged 39 is added to a group of n people, the average age increases by 2. When a person aged 15 is added instead, the average age decreases by 1. What is the value of T?
Choices:
7
9
10
11
Answer: A
Question: A circular well with a diameter of 2 metres , is dug to a depth of 8 metres. What is the volume of the earth dug out?
Choices:
25.1 m3
40 m3
44 m3
None
Answer: A
Question: 0.0002152/0.000205 x 12.05=?
Choices:
14.64
12.6
15.64
13.64
Answer: B
Question: In how many ways can 22 books on English and 20 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?
Choices:
5896
2415
1771
1881
Answer: C
Question: A math teacher has 24 cards, each of which is in the shape of a geometric figure. Half of the cards are rectangles, and a third of the cards are rhombuses. If 8 cards are squares, what is the maximum possible number of cards that re circles.
Choices:
7
11
12
13
Answer: A
Question: Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 54 meter head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Choices:
18 seconds
25 seconds
27 seconds
45 seconds
Answer: C
Question: Shop Offered 30% offer for every Shirt, Smith bought a shirt at Rs. 560. and What was the shop's original selling Price?
Choices:
800
600
700
750
Answer: A
Question: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of 3y-y pounds. Which of the following represents Allen’s weight?
Choices:
2x - y/2
(y - x)/2
y - 2x
2x - y
Answer: B
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Choices:
Rs. 3900
Rs. 4000
Rs. 4100
Rs. 4200
Answer: A
Question: 24 oz of juice P and 25 oz of juice V are mixed to make smothies E and Y . The ratio of p to V in smothie E is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie E?
Choices:
10
15
20
25
Answer: C
Question: If x > 4 and y < -4, then which of the following must be true ?
Choices:
x/y < -1
x/y < 0
x + y > 0
xy > 0
Answer: D
Question: Jane and Ashley take 20 days and 10 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?
Choices:
12 Days
16 Days
18 Days
20 Days
Answer: A
Question: Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 50,000 after completion of one year. What will be Madhu's share of profit?
Choices:
Rs. 24,000
Rs. 25,000
Rs. 36,000
None of these
Answer: B
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Choices:
9:31
9:33
9:39
9:12
Answer: A
Question: In how many different number of ways 4 man and 2 woman can sit on a bench?
Choices:
620
640
660
720
Answer: D
Question: A certain store sold pens for $0.35 each and pencils for $0.25 each. If a customer purchased both pens and pencils from the store for a total of $3.00, what total number of pens and pencils did the customer purchase?
Choices:
9
10
11
12
Answer: B
Question: A 240 meter long train crosses a man standing on the platform in 4 sec. What is the speed of the train?
Choices:
108 kmph
216 kmph
134 kmph
161 kmph
Answer: B
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
27777
29999
59000
27772
Answer: C
Question: If f(x) = 6x^4 - 4x^3 - 3x^2 + 6x , then f(-1) =
Choices:
-1
0
1
2
Answer: C
Question: You enter a weight loss challenge game and manage to lose 11% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
Choices:
9.22%
9%
14%
12%
Answer: A
Question: Find the arithmetic mean A of all roots of the following equation- see an attachment.
Choices:
1
0.5
-1/3
0.3
Answer: B
Question: In an election, candidate Douglas won 58 percent of the total vote in Counties X and Y. He won 64 percent of the vote in County X. If the ratio of people who voted in County X to County Y is 2: 1, what percent of the vote did candidate Douglas win in County Y?
Choices:
18%
25%
36%
46%
Answer: D
Question: Evaluate: 40 - 10÷2×2 =
Choices:
25
10
16
30
Answer: D
Question: Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $100 per month and Plan B costs $200 per month per customer. If the company’s average revenue per customer per month is $150, then what percent of the company's revenue comes from customers with Plan A?
Choices:
30%
37.5%
56.25%
75%
Answer: A
Question: Oil is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour. If the empty rectangular tank is 9 feet long, 8 feet wide, and 5 feet deep, approximately how many hours does it take to fill the tank?
Choices:
70
80
90
100
Answer: C
Question: Divide 675 to A and B in ratio 5:4.
Choices:
300,375
325,350
375,300
350,325
Answer: C
Question: A teacher gave the same test to three history classes: K, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Choices:
75
76
77
78
Answer: A
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 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 Q in the liquid in the tank after 3 minutes?
Choices:
2/11
3/11
4/11
5/11
Answer: B
Question: If m is the average (arithmetic mean) of the first 10 positive multiples of 6 and if M is the median of the first 10 positive multiples of 6, what is the value of M – m ?
Choices:
10
5
0
27.5
Answer: C
Question: A can do a piece of work in 6 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:
2.0 days
6.6 days
7.5 days
4.4 days
Answer: C
Question: Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and Jatin joined them with an amount of Rs. 35,000. What will be Rajeev's share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 1999 ?
Choices:
50000
25000
15200
15000
Answer: A
Question: The marks obtained by Polly and Sandy are in the ratio 3:5 and those obtained by Sandy and Willy are in the ratio of 5:2. The marks obtained by Polly and Willy are in the ratio of...?
Choices:
3:2
4:3
5:4
6:5
Answer: A
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
Choices:
85%
96%
125%
150%
Answer: B
Question: Rahul rented a power tool from a rental shop. The rent for the tool was $40 for the first hour and $20 for each additional hour. If Rahul paid a total of $160, excluding sales tax, to rent the tool, for how many hours did she rent it?
Choices:
4
9
7
3
Answer: C
Question: In how many years, Rs. 150 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
Choices:
6 years
8 years
9 years
12 years
Answer: B
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
1 sec
7 sec
9 sec
Answer: A
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
12
67
20
81
Answer: C
Question: When sold at a 40% discount, a sweater nets the merchant a 30% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
Choices:
40%
50%
53.85%
100%
Answer: C
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 24,000 earned at the end of 2 years from the starting of the business?
Choices:
B)7389
C)7200
D)7453
E)7637
Answer: B
Question: How many 7-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 1234321.
Choices:
610
729
9000
1000
Answer: C
Question: P, Q, R enter into partnership and their capitals are in the proportion 1/3 : 1/4 : 1/5. P withdraws half his capital at the end od 4 months. Out of total annual profit of Rs. 8470/-, P’s share is:
Choices:
Rs. 2800/-
Rs. 3150/-
Rs. 4120/-
None of these
Answer: A
Question: If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?
Choices:
1/100m
1/m
10/m
10000/m
Answer: D
Question: A man can do a piece of work in 4 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
Choices:
12 days
5 days
4 days
None of these
Answer: A
Question: What is the difference between the compound interest on Rs.12000 at 22% p.a. for one year when compounded yearly and half yearly?
Choices:
383
120.2
288.2
145.2
Answer: D
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
Choices:
6 hours
7 hours
4 hours
8 hours
Answer: A
Question: A can run 224 meter in 28 seconds and B in 32 seconds. By what distance A beat B?
Choices:
28 meter
34 meter
32 meter
38 meter
Answer: A
Question: A 10-by-8 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
Choices:
The volume of the cylinder with height 8 is 80/pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 10 is 80pi cubic inches greater than the volume of the cylinder with height 6.
The volume of the cylinder with height 8 is 80pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 8 is 240/pi cubic inches greater than the volume of the cylinder with height 10.
Answer: A
Question: Which of the following MUST yield an integer when divided by 3?
Choices:
The sum of three 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: The greatest number by which the product of three consecutive multiplies of 3 is always divisible is
Choices:
81
162
243
None
Answer: B
Question: Two spherical balls lie on the ground touching. If one of the balls has a radius of 10 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball?
Choices:
5/2 cm
5 cm
15/2 cm
none of the these
Answer: C
Question: Dames school has 2000 boys and 5000 girls. What is the percentage increase from boys to total attendance and girls to total attendance?
Choices:
A) 40%
C) .4%
D) 50%
E) 12%
Answer: A
Question: Shreyas bought an article and sold it for 125% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.30750/-?
Choices:
Rs.24600
Rs.24250/-
Rs.23200
None of these
Answer: A
Question: Y can do a work in 2/3 the time it takes X. Z can do the same work in ¾ the time it takes Y.When all three are typing at the same time what fraction of their total work does Y do
Choices:
1/3
9/23
8/29
10/29
Answer: A
Question: In how many ways, a committee of 8 members can be selected from 10 men and 8 ladies, consisting of 5 men and 3 ladies?
Choices:
14567
14112
13445
14431
Answer: B
Question: One hour after Adrienne started walking the 60 miles from X to Y, Harold started walking from X to Y as well. Adrienne walks 3 miles per hour and Harold walks 1 mile per hour faster than Adrienne. How far from X will Harold be when he catches up to Adrienne?
Choices:
12 miles
10 miles
11 miles
14 miles
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 1 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/364
1/91
4/455
None of these
Answer: A
Question: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/8, then what is the value of abc/def ?
Choices:
27/8
3/4
3/16
1/4
Answer: C
Question: Salesperson A's compensation for any week is $300 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
Choices:
$18,000
$12,000
$8000
$4000
Answer: B
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 9 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net sum to be paid for the entire work, what was the average daily wage of B?
Choices:
$80
$60
$54
$48
Answer: A
Question: Exactly 20% of the reporters for a certain wire service cover local politics in Country X. If 20% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Choices:
42%
44%
75%
84%
Answer: C
Question: Set W consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set W by 50, set Y is derived by multiplying each term in set W by 1.5, and set Z is derived by dividing each term in set W by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
Choices:
X, Z, Y
Y, Z, X
Y, X, Z
Z, Y, X
Answer: C
Question: Sonika deposited Rs.4500 which amounted to Rs.8400 after 2 years at simple interest. Had the interest been 4% more. She would get how much?
Choices:
8790
8760
9020
5000
Answer: B
Question: How many of the factors of 280 are divisible by 2?
Choices:
8
10
12
16
Answer: C
Question: The average (arithmetic mean) of eight numbers is 43.2. If the sum of half of these numbers is 156.4, what is the average of the other half?
Choices:
47.3
55.8
59.2
63.7
Answer: A
Question: The very opening sentence of the passage speaks about the ‘semantic conspiracy’ which means linguistic intrigue; a trickery usage of language.
Choices:
21
112
112
1111
Answer: D
Question: A mother bought three dress for her triplets daughters(one for each) and put the dresses in the dark. One by one the girls come and pick a dress.
What is the probability that no girl will choose her own dress?
Choices:
3/4
2/3
1/3
2/4
Answer: C
Question: A stock trader originally bought 100 shares of stock from a company at a total cost of m dollars. If each share was sold at 50% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
Choices:
a) 3m/300
c) m/200
d) m/300 + 50
e) 350/m
Answer: A
Question: If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A- B is also a odd number.
Choices:
2 only.
3 only.
1 and 3 only.
2 and 3. Only
Answer: D
Question: The average of first 10 natural numbers is?
Choices:
5.5
5.3
5.9
5.1
Answer: A
Question: The difference between the compound interest and simple interest on a certain sum of money at 5% per annum for 2 years is 45. Then the original sum is?
Choices:
12000
19000
14000
18000
Answer: D