antoine-444/aqua_rat_dataset huggingface dataset:
Question: A certain quantity of 45% concentration solution is replaced with 20% concentration solution such that the concentration of the combined amount is 35%.
What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced?
Choices:
1:2
2:3
2:1
3:1
Answer: B
Question: If P and Q are positive integers, P - 1 is divisible by 2 and Q - 3 is divisible by 4, all of the following could be the value of P - Q Except?
Choices:
9
4
6
12
Answer: A
Question: Three boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Choices:
B)2^30
C)1^30
D)3^30
E)6^30
Answer: C
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs. 300
Rs. 250
Rs. 200
None of these
Answer: B
Question: In expressing a length of 61.472 km as nearly as possible with the three significant digits, find the percentage error ?
Choices:
0.4%
0.045%
0.6%
None of these
Answer: B
Question: The cost per unit of electricity during a 4 year period is as follows:
Year 1, $1 per unit;
Year 2, $1.5 per unit;
Year 3, $2 per unit;
Year 4, $2.5 per unit.
If a factory spent equal dollars on electricity each year, what was the average cost of a unit of electricity during the 4 year period?
Choices:
$1.46
$1.36
$1.56
$1.26
Answer: C
Question: By selling 10 pencils for a rupee a man loses 25%. How many for a rupee should he sell in order to gain 25%?
Choices:
6
10
89
81
Answer: A
Question: A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?
Choices:
6 days
5 days
7 days
1 days
Answer: A
Question: 1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum E of the 24 integers ?
Choices:
44,406
60,444
66,660
99,990
Answer: D
Question: A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 3 more days. How many days would it have taken the second carpenter to do the complete job working alone?
Choices:
7
9
14
24
Answer: A
Question: A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. B alone can complete the work in --- hours.
Choices:
12 hours
8 hours
10 hours
15 hours
Answer: A
Question: Beth received 2/10 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
Choices:
3/7
3/10
7/20
1/2
Answer: A
Question: A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability L that the first ball picked up is odd numbered?
Choices:
1/3
1/2
2/3
1
Answer: C
Question: If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 2
II. x = 0
III. x = -y
Choices:
II only
III only
I and III only
I, II, and III
Answer: A
Question: In how many different number of ways a combination of 3 men and 2 women can be selected from 6 men and 5 women.
Choices:
20
30
35
40
Answer: A
Question: If anangletis defined as 1 percent of 1 degree, then how many anglets are there in a sixth of a circle?
Choices:
3.6
360
6000
36,000
Answer: C
Question: Mrs. Napier has 86 stickers to give to 10 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
Choices:
8-6
2-6
2-3
2-8
Answer: A
Question: Two persons A and B can complete a piece of work in 18 days and 24 days respectively. If they work together, what part of the work will be completed in 2 days?
Choices:
7/36
4/37
8/35
5/3
Answer: A
Question: The length of the longest tape in cm which can be used to measure exactly, the length 2m; 400cm; and 5m is:
Choices:
500
100
400
200
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1500 resolutions?
Choices:
2112 m
2278 m
2288 m
2378 m
Answer: A
Question: What is the value of 3x^2 − 1.8x + 0.5 for x = 0.6?
Choices:
0
0.3
1.08
0.5
Answer: D
Question: Tom and Marry each have a bag of marbles, each of which contains 4 Red marbles, 10 blue marbles, and 6 yellow marbles. If Tom and Marry each select one marble from their respective bags, what is the probability that either Tom or Marry select a blue marble?
Choices:
2/4
3/4
1/8
1/16
Answer: B
Question: In a class of 50 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
Choices:
10
18
28
32
Answer: C
Question: A, B and C can do a piece of work in 14, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Choices:
7.7 days
6.7 days
5.7 days
8.7 days
Answer: A
Question: Of all the homes on Gotham Street, 1/3 are termite-ridden, and 4/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Choices:
a) 1/15
c) 4/5
d) 2/5
e)1/5
Answer: A
Question: If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 3(x+ y) > 3z
III. yz > xz
IV. xy > y + z
Choices:
II only
II and III only
II and IV only
III and IV only
Answer: A
Question: if in one hour, a canoe rows at 16 km/hr downstream and 9 km/hr upstream, Calculate the speed of a boat in still water (in km/hr).
Choices:
15.5 kmph
12.5 kmph
13.5 kmph
22.5 kmph
Answer: B
Question: 8+88+888+.....+8888........8888. There are 21 “8” digits in the last term of the series.
Find the last three digits of the sum.
Choices:
968
978
988
999
Answer: A
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 2 rows or 4 rows or 4 rows, then no tree will be left. Find the least number of trees required
Choices:
60
4
8
10
Answer: B
Question: After getting two successive discounts, a shirt with a list price of Rs. 300 is available at Rs. 210. if the second discount is 12.5%, find the first discount.
Choices:
20%
25%
12.5%
None of these
Answer: A
Question: In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Choices:
356
378
390
480
Answer: D
Question: An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
4/9
4/7
1/6
2/5
Answer: A
Question: Of the following values of n, the value of (-1/6 )^(-n) will be greatest for n =
Choices:
2
0
-2
-3
Answer: A
Question: A line has a slope of 3/4 and intersects the point Q (-12, -39). At which point does this line intersect the x-axis?
Choices:
(40,0)
(0,40)
(40,30)
(0,30)
Answer: A
Question: If 4b^4 − 41b^2 + 100 = 0, then what is the sum of the two greatest possible values of b ?
Choices:
9/2
7
41/4
25
Answer: A
Question: (0.0048)(3.5) / (0.05)(0.1)(0.004)=
Choices:
840
84.0
0.84
0.084
Answer: A
Question: Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 100 meters. They next meet after Sally has run 100 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters?
Choices:
300
350
400
500
Answer: A
Question: Find 283/1983×100
Choices:
14.21
14.22
14.27
14.23
Answer: A
Question: Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is ?
Choices:
29
11
48
10
Answer: C
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Choices:
99
57
54
23
Answer: A
Question: Which of the following functions does not intersect with w = 3x^2 + 2x + 1
Choices:
W = 2x^2 + 3x + 1
W = 3x^2 + 2x + 3
W = 4x^2 + 2x - 3
W = x^2 + 2x + 3
Answer: B
Question: In a certain city, 60% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?
Choices:
53%
54%
55%
57%
Answer: A
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Choices:
Rs.6620
Rs.6800
Rs.6400
None of these
Answer: A
Question: In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 74 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
Choices:
48
56
208
256
Answer: A
Question: A company’s four cars running 12 hrs a day consume 1200 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days?
Choices:
1440 lt
1664 lt
1728 lt
4800 lt
Answer: A
Question: The product of all the prime numbers less than 18 is closest to which of the following powers of 10 ?
Choices:
10^8
10^7
10^6
10^5
Answer: C
Question: 6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days X do they need to finish the same job?
Choices:
3
5
6
7
Answer: A
Question: The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?
Choices:
252
344
388
None of these
Answer: B
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Choices:
10.29 p.m
10.30 p.m
10.38 p.m
10.32 p.m
Answer: B
Question: If 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 30 percent grape juice then what percent of the resulting mixture is grape juice?
Choices:
25%
48%
34%
50%
Answer: B
Question: Nicole cycles at a constant rate of 10 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 40 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
Choices:
b) x/2 minutes
c) 2x/3 minutes
d) 3x/2 minutes
e) 2x minutes
Answer: C
Question: In a class of 38 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
5
8
13
15
Answer: A
Question: A fruit seller sells mangoes at the rate of Rs.10 per kg and thereby loses 15%. At what price per kg, he should have sold them to make a profit of 5%
Choices:
Rs 9.35
Rs 10.35
Rs 12.35
None of these
Answer: C
Question: If the cost price is 80% of the selling price, then what is the profit percent?
Choices:
11%
13%
25%
19%
Answer: C
Question: Anil and Ravi invest Rs.60,000 and Rs.40,000 and they got loss of Rs.5,000 at the end of year. Then what was the loss for Ravi in Percentage?
Choices:
3%
5%
6%
8%
Answer: B
Question: How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/53 ?
Choices:
3
2
1
0
Answer: B
Question: Jhaveri invested in Upendra&Upendra,Celco and Winger shares at Rs. 300,Rs.200 and Rs.5 per share respectively. He bought 100 shares for Rs.1000.The number of Upendra&Upendra and Celco shares he bought are respectively
Choices:
17,23
17,60
15,25
15,20
Answer: C
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Choices:
2/5
8/15
9/20
7/8
Answer: C
Question: Which is the odd number?
1, 8, 27, 64, 125, 196, 216, 343
Choices:
196
2087
277
011
Answer: A
Question: A speaks english in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to speak english?
Choices:
26%
35%
45%
56%
Answer: B
Question: Ram-Leela has $100 in her piggy bank. How much will she have in her bank 52 weeks from now if she puts $1 in the bank next week, $2 two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week?
Choices:
1478
1678
1778
1798
Answer: A
Question: The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is:
Choices:
29
41
67
76
Answer: B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 9 cm and breadth 6 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choices:
11.52
11.97
10.91
11.79
Answer: D
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 465, C will receive
Choices:
15
5
287
90
Answer: D
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
1000
2889
27670
2771
Answer: A
Question: In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 30% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
120
210
Answer: C
Question: In a kilometer race, A can give B a 100 m start and C a 150 m start. How many meters start can B give to C?
Choices:
50/9
8500/9
500/9
None of these
Answer: C
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
1/3
2/5
2/7
3/7
Answer: B
Question: three men invested sum. and their ratio is 5:7:6. profit is 7200.then b's share
Choices:
2100
2800
2300
2400
Answer: B
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28
77
12
21
Answer: A
Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is
Choices:
3:1
2:4
4:2
5:3
Answer: A
Question: Oil cans x and y are right circular cylinders and the height and radius of y are each thrice those of x. If the oil in can x filled to capacity sells for $4, how much does the oil in y sell for if y is only 1/3rd filled?
Choices:
$25
$36
$40
$28
Answer: B
Question: P can do a work in 36 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
Choices:
8
9
10
15
Answer: D
Question: A certain car averages 25 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 15 miles in the city and then 50 miles on the highway?
Choices:
30
35
36
38
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 30
between 0 to 60
between 0 to 75
between 0 to 95
Answer: B
Question: 306 Ã· ? Ã— 15 + 270 = 405
Choices:
25
34
39
43
Answer: B
Question: A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
Choices:
7
9
8
5
Answer: B
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
32 seconds
40 seconds
87 seconds
12 seconds
Answer: B
Question: The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years
Choices:
7:8
3:8
5:8
None of these
Answer: A
Question: In a class of 250 students, 150 study Spanish and 100 study French. If a student must study at least one of these two languages, what percent of the students study French but NOT Spanish?
Choices:
40%
30%
20%
10%
Answer: A
Question: A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 4 percent and 8 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?
Choices:
4/5
1/2
3/5
3/4
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 240 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choices:
32 km/hr.
34 km/hr.
35 km/hr.
72 km/hr.
Answer: D
Question: Kelly rows her canoe 2 miles downstream in 15 minutes. It takes her 60 minutes to row it back upstream the same 2 miles. What was the speed of the water current in mph?
Choices:
3 mph
5 mph
6 mph
7 mph
Answer: A
Question: If an average hard drive had a capacity of 0.6 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choices:
512
768
6144
1536
Answer: C
Question: In a sequence, each term starting with the third onward is defined by the following formula an=an−1−an−2an=an−1−an−2, where n is an integer greater than 2. If the first term of that sequence is 3 and the second term is 4, what is the value of the 70th of that sequence?
Choices:
−3
−1
3
4
Answer: A
Question: Choose the missing terms out of the given alternatives.
AZ, BY, CX, ?
Choices:
GH
ED
DW
KN
Answer: C
Question: The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.1690. The perimeter of the plot is?
Choices:
156
190
321
260
Answer: D
Question: A can do a piece of work in 16 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Choices:
77
66
55
12
Answer: D
Question: A certain company retirement plan has arule of 70provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1988 on her 32nd birthday first be eligible to retire under this provision?
Choices:
2004
2005
2006
2007
Answer: D
Question: A baker filled with a measuring cup with 3/4 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Choices:
3/8 cup
1/4 cup
1/2 cup
7/8 cup
Answer: D
Question: Adding 30% of x to x is equivalent to multiplying x by which of the following?
Choices:
1.05
1.15
1.3
1.25
Answer: C
Question: 1/2 + [(2/3 * 3/8)/6] - 9/16 =
Choices:
19/16
15/16
7/16
0
Answer: C
Question: A waitress's income consists of her salary and tips.During one week ,her tips were 9/4 of her salary.What fraction of her income for the week came from tips?
Choices:
9/13
1/3
4/9
5/9
Answer: A
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Choices:
287
269
500
181
Answer: C
Question: If y is 80 percent greater than x, then x is what percent less than y ?
Choices:
25
33 1/3
44 4/9
80
Answer: C
Question: Two numbers are in the ratio 3 : 4. If their L.C.M. is 60. what is sum of the numbers?
Choices:
35
76
84
85
Answer: A
Question: In how many different ways can the letters of the word 'RETAIL' be arranged such that the vowels must occupy only the even positions?
Choices:
64
120
36
360
Answer: C
Question: What is the present worth of Rs. 66 due in 2 years at 5% simple interest per annum?
Choices:
60
120
888
171
Answer: A
Question: When n is divided by 5 the remainder is 3. What is the remainder when (n-1)^2 is divided by 5?
Choices:
1
2
3
4
Answer: D
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
80, 40
80, 48
80, 46
82, 41
Answer: A
Question: Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 19,000, what is Ramesh's share?
Choices:
s. 8379
s. 9875
s. 10875
s. 11875
Answer: D
Question: If John takes 4 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?
Choices:
240z/x
240x/z
240xz
4z/x
Answer: A
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
5/20
9/20
5/21
Answer: A
Question: On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 155 is how many times an intensity corresponding to a magnitude of 125?
Choices:
100
400
1000
10 000
Answer: C
Question: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Choices:
7500
6500
5500
9500
Answer: A
Question: A meeting has to be conducted with 5 managers. Find the number of ways in which the managers may be selected from among 7 managers, if there are 2 managers who refuse to attend the meeting together.
Choices:
8
10
11
15
Answer: C
Question: A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Choices:
5
9
24
26
Answer: A
Question: In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
Choices:
6 balls
8 balls
9 balls
10 balls
Answer: A
Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Mettur. Mettur, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mettur over the total taxable land of the village is:
Choices:
0.20833
0.10982
0.20933
0.10984
Answer: A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
Choices:
704 m
176 m
186 m
197 m
Answer: A
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
16 ½ days
22 ½ days
11 ½ days
19 ½ days
Answer: B
Question: There is a 40 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 40 cm, how many insects were still left after the race was over?
Choices:
4
6
8
10
Answer: C
Question: When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
Choices:
10 years
14 years
19 years
9 years
Answer: A
Question: A bag contains 3 red, 5 yellow and 7 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
Choices:
3/5
3/13
1/4
7/16
Answer: B
Question: A group of 6 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the five other students from the group?
Choices:
6.7%
15.5%
20.4%
25.7%
Answer: A
Question: The diagonals of a rhombus are 15 cm and 21 cm. Find its area?
Choices:
266
150
288
157.5
Answer: D
Question: A can complete a project in 10 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?
Choices:
15
20
21
22
Answer: A
Question: The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the number is 30, find the other?
Choices:
240
120
200
150
Answer: A
Question: One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Choices:
5:4
5:2
5:2
5:1
Answer: A
Question: A motorcyclist goes from Bombay to Pune, a distance of 180 kms at an average of 20 kmph speed. Another man starts from Bombay by car 2 Â½ hours after the first, and reaches Pune Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
2:3
1:9
1:5
1:1
Answer: A
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1055
C)965
D)1075
E)1080
Answer: B
Question: Suppose the sales tax be reduced from 3 1/2% to 3 1/3%, then what difference does it make to a person who purchase an article with marked price of Rs. 7200 ?
Choices:
Rs 12
Rs 10
Rs 14
None of these
Answer: A
Question: Peter must choose a lab partner by picking a name out of a bag. If the bag has 9 male names and F female names, what is the least number of female names in the bag if the probability of choosing a male lab partner is less than 3 out of 7?
Choices:
12
13
14
16
Answer: B
Question: 2)	An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
720 km/hr
740 km/hr
780 km/hr
800 km/hr
Answer: A
Question: Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 2 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 3 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?
Choices:
14
17
21
25
Answer: C
Question: A sum of money is sufficient to pay Y's wages for 10 days and Z's wages for 15 days. The same money is sufficient to pay the wages of both for?
Choices:
3
4
5
6
Answer: D
Question: Excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 43 kmph. For how many minutes does the bus stop per hour?
Choices:
16 min
20 min
8.4 min
40 min
Answer: C
Question: At a tanning salon, customers are charged $10 for their first visit in a calendar month and $3 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?
Choices:
$1120
$1300
$1340
$1880
Answer: A
Question: Maria's grandparents were celebrating their 50th anniversary. Each of the children contributed $100 and the grandchildren each contributed $80. Together, all 15 members the family collected a total of $1,300 dollars for the celebration. How many children did Maria's grandparents have.
Choices:
5
8
9
10
Answer: A
Question: What is the speed required for a car to cover a distance of 600 km in 5 hours?
Choices:
140 kmh
150 kmh
130 kmh
120 kmh
Answer: A
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 54 more than n. What is y in terms of x ?
Choices:
x-12
x+8
x+6
x+7
Answer: C
Question: How many arrangements of four 0's (zeroes), two 1's and two 2's are there in which the first 1 occur before the first 2?
Choices:
360
320
210
None
Answer: C
Question: If 12 men do a work in 80 days, in how many days will 16 men do it?
Choices:
19 days
15 days
60 days
14 days
Answer: C
Question: Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $700 (before payroll deductions)?
Choices:
1250
1280
1310
1340
Answer: A
Question: Each of the following equations has at least one solution EXCEPT D. Is it true?
Choices:
(–2)-a = –2-a
(–2)a = –2a
-2*a = -2-a
2*a = (–2)*-a
Answer: C
Question: Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 10% sugar. What percentage of the gallon is dye?
Choices:
6.5
7.5
8
24
Answer: C
Question: The price of 24 apples is equal to that of 28 oranges. The price of 45 apples and 60 oranges together is Rs.1350. The total price of 30 apples and 40 oranges is
Choices:
200
450
900
1300
Answer: C
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
20
15
10
30
Answer: A
Question: A jogger running at 9 kmph along side a railway track is 280 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
Choices:
40 sec
36 sec
72 sec
None of these
Answer: A
Question: Which of the following is not a prime number ?
Choices:
389
390
397
401
Answer: B
Question: The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-sixth of its original value. How many amperes of electrical current will flow through the wire?
Choices:
4
16
24
32
Answer: C
Question: If A:B = 1/2: 1/5 B:C = 1/2:1/5 then A:B:C?
Choices:
1:2:3
25:10:4
14:12:16
4:
Answer: B
Question: A diagonal of a polygon is an segment between two non-adjacent vertices of the polygon. How many diagonals does a regular 30-sided polygon have?
Choices:
405
1425
2025
2500
Answer: A
Question: A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
Choices:
1:2:3
1:2:6
1:2:4
1:2:2
Answer: C
Question: From the top of a building, an object is thrown upward with an initial speed of 64 ft/sec. It touches the ground 5 seconds later. What is the height of the bulding
Choices:
80 feet
60 feet
50 feet
40 feet
Answer: A
Question: A shopkeeper forced to sell at cost price, uses a 700 grams weight for a kilogram. What is his gain percent?
Choices:
9%
11.11%
42.85 %
None of these
Answer: C
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,879,277 minutes earlier? (Assume standard time in one location.)
Choices:
6:24
6:27
6:30
6:32
Answer: C
Question: The 15 homes in a new development are each to be sold for one of three different prices so that the developer receives an average (arithmetic mean) of $200,000 per home. If 4 of the homes are to be sold for $170,000 each and 5 are to be sold for $200,000 each, what will be the selling price of each of the remaining 20 homes?
Choices:
$206,000
$215,000
$220,000
$230,000
Answer: A
Question: Solve for x: 2x – y = (3/4)x + 6
Choices:
4(y + 6)/5
(y + 6)
4(y - 6)/5.
-4(y-6)/5
Answer: A
Question: The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother
Choices:
41
42
43
44
Answer: B
Question: How many two-element subsets of <1, 2,3,4,5,6,7,8> are there that do not contain the pair of elements 2 and 4?
Choices:
22
24
25
27
Answer: D
Question: x, y, and z are all unique numbers. If x is chosen randomly from the set {6, 7, 8, 9, 10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not?
Choices:
3/20
2/15
1/12
1/10
Answer: C
Question: x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 15. Which of the following is NOT a possible value for y + b?
Choices:
21
20
17
15
Answer: A
Question: Which of the following integers does NOT have a divisor bigger than 1 that is the square of an integer?
Choices:
95
54
16
48
Answer: A
Question: The value of x + x(xx) when x = 3 is:
Choices:
B)16
C)30
D)64
E)10
Answer: B
Question: Three candidates contested an election and received 3554 votes, 7926 votes, and 16520 votes respectively. What percentage of the total votes did the winning candidate receive?
Choices:
56%
57%
58%
59%
Answer: D
Question: A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle E in terms of h?
Choices:
h/2
h/4
(h)^2
(h)^2/4
Answer: D
Question: A toy store’s gross profit on a computer game was 10 percent of the cost of the game. If the store increased the selling price of the game from $44 to $46 and the cost of the game remained the same, then the store’s gross profit on the game after the price increase was what percent of the cost of the game?
Choices:
11%
12.5%
13%
15%
Answer: D
Question: The average (arithmetic mean) of four distinct positive integers is 6. If the average of the smaller two of these four integers is 6, which of the following represents the maximum possible value of the largest integer?
Choices:
12
3
2
4
Answer: A
Question: A train running at the speed of 30 km/hr crosses a pole in 24 seconds. What is the length of the train?
Choices:
200 m
300 m
350 m
400 m
Answer: A
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?
Choices:
500
450
550
None of these
Answer: A
Question: P is 60% more efficient than Q. P can complete a work in 26 days. If P and Q work together, how many days will it take to complete the same work?
Choices:
14
16
18
20
Answer: B
Question: A man & his wife appear in an interview for 2 vacancies in the same post.The probability of husband's selection is (1/7) & probability of wife's selection is (1/5). what is the probability that only one of them is selected?
Choices:
2/7
8/15
4/7
2/5
Answer: A
Question: Virginia, Adrienne, and Dennis have taught history for a combined total of 75 years. If Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis, for how many years has Dennis taught?
Choices:
34
35
41
44
Answer: A
Question: What will be the difference between simple and compound interest @20% per annum on a sum of $500 after 2 years?
Choices:
$20
$25
$30
$40
Answer: A
Question: One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 7 parts soda. Compare the strength of the wine.
Choices:
7 : 8
7 : 4
10 : 9
None of these
Answer: C
Question: five mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the six arrange themselves in line such that Frankie’s requirement is satisfied?
Choices:
24
120
60
720
Answer: C
Question: Sales price is $60, gross profit is 140% of cost, what is the value of gross profit?
Choices:
33
39
35
42
Answer: C
Question: Two brothers Ram and Ravi appeared for an exam. The probability of selection of Ram is 6/7 and that of Ravi is 1/5. Find the probability that both of them are selected.
Choices:
2/3
6/35
5/7
7/5
Answer: B
Question: If a/b= 1.25, then b is what percent of a?
Choices:
0.08
0.8
8
80
Answer: D
Question: Find the length of the longest pole that can be placed in a room 12 m long, 8 m broad and 9 m high.
Choices:
12 m
17 m
19 m
None
Answer: B
Question: If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle.
Choices:
125 cm^2
120 cm^2
102 cm^2
None of them
Answer: B
Question: Two pipes A and B can fill a tank in 30 and 40 minutes respectively. If both the pipes are used together, then how long it will take to fill the tank ?
Choices:
17 1/7 mins.
15 1/7
14 1/7
18 1/7
Answer: A
Question: John makes $60 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Choices:
16.66%
18%
21%
33.33%
Answer: D
Question: ABCD is a square where AB =âˆš4004. Let X be a point on AB and Y be a point on CD such that AX = CY . Compute the area of trapezoid AXYD.
Choices:
2002
1008
2016
3000
Answer: A
Question: A horse is tethered to one corner of a rectangular grassy field 46 m by 20 m with a rope 17 m long. Over how much area of the field can it graze?
Choices:
308 m2
227 m2
407 m2
None of these
Answer: B
Question: .It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?
Choices:
23 days.
30 days.
92 days.
97 days.
Answer: B
Question: The total price of a kilogram each of Shimla apples and Red Delicious apples is 250 rupees more than the total price of a kilogram each of Red Delicious apples and Fuji apples. Fuji apples is how much cheaper than Shimla apples?
Choices:
250
500
100
80
Answer: A
Question: On a class test there are 5 questions. One question has been taken from each of four chapters. The first two chapters have 3 questions each, the last two chapters have 6 questions each. The fourth question can be picked from any of the four chapters. How many different question papers could have been prepared?
A.
B.
C.
D.
E.
Choices:
1260
2268
4000
4860
Answer: B
Question: In a group of ducks and cows, the total number of legs are 32 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
12
14
16
18
Answer: C
Question: If 16 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?
Choices:
90
85
80
64
Answer: D
Question: In a box of 11 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?
Choices:
28/55
2/35
2/55
1/75
Answer: A
Question: A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 70,000, A receives :
Choices:
24703
29400
33777
34778
Answer: B
Question: Among 600 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
Choices:
90
120
172
180
Answer: D
Question: Rahul went to a shop and bought things worth Rs. 29, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
Rs 12.10
Rs 23.70
Rs 26.80
None of these
Answer: B
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago?
Choices:
9
12
14
16
Answer: A
Question: A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
Choices:
85 m,10 m
15 m,80 m
15 m,10 m
15 m,14 m
Answer: C
Question: A can do a piece of work in 12 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:
15 1/3
17 1/3
18 1/3
25 1/3
Answer: A
Question: If q and r are both odd numbers, which of the following must also be odd?
Choices:
(q + r)^2
q(q + r)
(qr)^2
q/r
Answer: C
Question: Find out the wrong term in the series 2, 3, 4, 4, 6, 8, 9, 12, 16
Choices:
9
7
6
2
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/408
1/421
1/420
Answer: A
Question: If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 1/4 then b= ?
Choices:
1/2
2
-2
8
Answer: C
Question: Find the ones digit of 73^340
Choices:
3
6
7
9
Answer: A
Question: If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 35 degrees?
Choices:
3π/2
2π
5π/2
7π/9
Answer: D
Question: The perimeter of a triangle is 35 cm and the inradius of the triangle is 4.5 cm. What is the area of the triangle?
Choices:
75
78
54
23
Answer: B
Question: In a camp, there is a meal for 160 men or 220 children. If 160 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
43
50
10
40
Answer: A
Question: A batsman played seven games and scored an average of 80 runs per game. If, in his first five games, he scored 75, 69, 81, 90, and 73 runs, what was the average (arithmetic mean) number of runs scored over the last two games?
Choices:
81
82
86
Cannot be determined from the information given.
Answer: C
Question: A math teacher has 32 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:
10
11
12
15
Answer: D
Question: Lori deposits $10,000 in a savings account at 10% annual interest, compounded annually.
After 3 years, what is the balance on the account?
Choices:
13310
13510
13610
13710
Answer: A
Question: A 600 meter long train crosses a signal post in 15 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
2 min
8 min
9 min
1.5 min
Answer: D
Question: If cost of 15 eggs be 90 rupees, then find out the cost of 5 dozen eggs.
Choices:
400
500
600
360
Answer: D
Question: Attorneys are questioning 11 potential jurors about their ability to serve on a jury and decide a case fairly. Seven individuals will be selected to serve on the jury. If each potential juror has an equal chance of being selected, what is the probability that Tamara and Inga are chosen for the jury?
Choices:
2/7
21/55
4/11
34/55
Answer: B
Question: List R contains five numbers that have an average value of 60. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
Choices:
28
31
34
37
Answer: A
Question: Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1200 widgets?
Choices:
2 hour and 24 minutes
2 hour and 30 minutes
2 hour and 36 minutes
2 hour and 00 minutes
Answer: D
Question: The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 202 to 300 inclusive?
Choices:
7,550
10,150
12,550
20,150
Answer: C
Question: A tank contains 10,000 gallons of a solution that is 7 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
3.75%
9.33%
10.67%
11.7%
Answer: B
Question: Barbata invests $2200 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Choices:
1100
1000
3600
2400
Answer: A
Question: The average age of the mother and her 6 children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
Choices:
42 years
48 years
50 years
None of these
Answer: A
Question: In a certain company, a third of the workers do not have a retirement plan. 40% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
120
137
Answer: D
Question: When 1/10 percent of 3,000 is subtracted from 1/10 of 3,000, the difference is
Choices:
297
2997
300
30
Answer: A
Question: A student is ranked 13th from right and 8th from left.how many are there?
Choices:
19
20
21
22
Answer: B
Question: John must arrange 3 different physics books and 5 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
Choices:
9
36
120
720
Answer: D
Question: How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number?
Choices:
8451
1546
2375
3215
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:
15
20
25
30
Answer: A
Question: Find number which is 60% less than 80.
Choices:
32
28
26
98
Answer: A
Question: The average weight of 6 persons increases by 1.5 kg. If a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
Choices:
74 kg
76.5 kg
Data inadequate
None of these
Answer: A
Question: The area of a rectangular plot is 360 square metres. If the length is 25% less than the breadth, what is the breadth of the plot?
Choices:
12 m
20 m
22 m
25 m
Answer: C
Question: Missing number in the series
4 9 20 43 90 185 ?
Choices:
376
190
195
180
Answer: A
Question: Several people are sitting around a round table playing a card game with a deck of 67 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table?
Choices:
5
7
11
13
Answer: C
Question: Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 8 days. In how many days Peter complete the work separately.
Choices:
24
20
25
30
Answer: B
Question: In how many ways can the letters in MATHEMATICS be arranged?
Choices:
4999980
4989600
4989800
4998800
Answer: B
Question: Which of the following is a prime number ?
Choices:
81
93
97
None of these
Answer: C
Question: A cyclist covers a distance of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist?
Choices:
7km/hr
12km/hr
15km/hr
18km/hr
Answer: D
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $22. What is the cost of the carpet, in dollars per square yard? (1 square yard = 8 square feet)
Choices:
11xy/3
176/(xy)
297/(xy)
297xy
Answer: B
Question: Given that 2x + 9 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers?
Choices:
-1 and 4
-4 and 1
-2 and 4
2 and 5
Answer: C
Question: At 12.00 hours, J starts to walk from his house at 6 kmph. At 13.30, P follows him from J's house on his bicycle at 8 kmph. When will J be 3 km behind P?
Choices:
19.3
19.32
19.33
19.36
Answer: A
Question: A train overtakes two persons walking along a railway track. The first person walks at 4.5 km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Choices:
81 km/hr
85 km/hr
84 km/hr
83 km/hr
Answer: A