antoine-444/aqua_rat_dataset huggingface dataset:
Question: Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction R of the work will be done by Adam?
Choices:
12/47
1/3
5/12
20/47
Answer: A
Question: If five numbers are randomly selected without replacement from set {1, 2, 3, 4, 5}, what is the probability that the numbers are selected in ascending order?
Choices:
1/120
1/480
1/240
1/50
Answer: A
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
Choices:
25years
12years
6years
16years
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.6. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.5
6.15
7
8
Answer: B
Question: John has $1,600 at the beginning of his trip, after spending money, he still has exactly $600 less than he spent on the trip. How much money does John still have?
Choices:
$400
$600
$800
$500
Answer: D
Question: Donovan and Michael are racing around a circular 400-meter track. If Donovan runs each lap in 48 seconds and Michael runs each lap in 40 seconds, how many laps will Michael have to complete in order to pass Donovan, assuming they start at the same time?
Choices:
7
8
9
6
Answer: D
Question: A cab driver 5days income was $25, $50, $60, $65 , $70. Then his average income is?
Choices:
B)$54
C)$65
D)$48
E)$62
Answer: A
Question: If a committee of 3 people is to be selected from among 7 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
Choices:
40
50
180
280
Answer: D
Question: What is the remainder when 14,456 × 15,657 × 16,788 is divided by 10?
Choices:
6
4
3
2
Answer: A
Question: In the xy-plane, a triangle has vertices (0,0), (4,0) and (4,6). If a point (a,b) is selected at random from the triangular region, What is the probability that a-b>0?
Choices:
1/3
1/2
2/3
4/5
Answer: C
Question: Rs. 6000 is lent out in two parts. One part is lent at 4% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
5:7
5:2
5:8
5:2
Answer: A
Question: 88% OF 370+24% OF 210-?=118
Choices:
258
268
358
NONE OF THESE
Answer: A
Question: The smallest number which when diminished by 8, is divisible 8, 16, 24, 32 and 40 is:
Choices:
1015
488
490
590
Answer: B
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 72.25, the number of the member is the group is:
Choices:
67
77
85
97
Answer: C
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is
Choices:
25/42
25/32
25/48
25/41
Answer: A
Question: How many words can be formed by using all letters of the word ‘BIHAR’ ?
Choices:
120
130
140
None
Answer: A
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 4 : 1 ?
Choices:
6 months
2 months
8 months
9 months
Answer: A
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, 2, x
Choices:
1
5
6
7
Answer: A
Question: A, B and C rents a pasture for Rs.928. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
289
288
255
552
Answer: B
Question: What is the difference between the place values of two sevens in the numeral 54707429 ?
Choices:
693000
99980
699930
None of these
Answer: A
Question: In an election between two candidates first candidate got 65% of votes polled and second Candidate got 2800 votes. The total number of votes polled was?
Choices:
8000 votes
9000 votes
9800 votes
9900 votes
Answer: A
Question: What is the sum of the 1st 5 prime numbers greater than 20?
Choices:
151
168
164
161
Answer: D
Question: Jason flips a coin three times. What is the probability W that the coin will land on the same side in all three tosses?
Choices:
1/8
1/4
1/3
1/2
Answer: B
Question: From 5 positive numbers and 7 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed?
Choices:
625
250
960
355
Answer: B
Question: If 2x^2 – y^2 = 2xy, then (x - y)^2 =
Choices:
3x^2
4xy
2y^2-x^2
– y^2
Answer: C
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 2 feet in circumference?
Choices:
8 feet
13 feet
15 feet
18 feet
Answer: A
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test?
Choices:
266
111
121
224
Answer: D
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 14 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
444
420
287
221
Answer: B
Question: How many of the positive factors of 56 , 96 and how many common factors are there in numbers?
Choices:
4
3
5
1
Answer: B
Question: Two airplanes take off from one airfield at noon. One flies due east at 204 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.?
Choices:
408
400
483
566
Answer: A
Question: What is the smallest five digit number that is divisible by 15, 36, 40, and 54?
Choices:
10800
11200
11600
12000
Answer: A
Question: Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many E miles will Tom drive before Karen wins the bet?
Choices:
18
21
24
27
Answer: C
Question: What is the smallest of six consecutive odd integers whose average (arithmetic mean) is a + 2?
Choices:
a
a - 1
a - 3
a + 1
Answer: C
Question: The ratio of radius of a circle and the side of a square is 2 : 3. Find the ratio of their areas:
Choices:
4 : 9
8 : 77
4 : 121
None
Answer: A
Question: On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.7, what is the probability that Malachi will return home at the end of the day on the following Monday?
Choices:
0.063
0.488
0.512
0.64
Answer: A
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:
116
108
107
72
Answer: C
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
288
500
277
121
Answer: B
Question: For a sequence to be considered an arithmetic sequence, there must be a constant difference between the terms. If a,b,c,d,e is an arithmetic sequence, which of the following is also an arithmetic sequence?
I. 7a,7b,7c,7d,7e
II. a-5, b-5, c-5, d-5, e-5
III. a^3, b^3, c^3, d^3, e^3
Choices:
I and II
II and III
II only
I and III
Answer: A
Question: Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
Choices:
XB < YD
AX > XB
AX < AB
AX > AB
Answer: C
Question: If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Choices:
20
15
16
12
Answer: A
Question: A train takes 18 seconds to pass completely through a statin 162 m long and 15 seconds through another station 120 m long. The length of the train is:
Choices:
60
90
100
120
Answer: B
Question: 20 machines can do a work in 5days. How many machines are needed to complete the work in 10days?
Choices:
10
8
12
20
Answer: A
Question: If x^2 - 1 = 0 and x > 0, which of the following must be equal to 0 ?
Choices:
x^2 - 9x + 8
x^2 - 2x + 3
x^2 + 2x - 3
x^2 + 5x + 6
Answer: A
Question: 12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)
Choices:
8
10
20
40
Answer: A
Question: A travel agent offers a vacation plan which costs x dollars for the first day, and x/3 for each additional day. How much does a vacation of y days cost, where y > 1.
Choices:
(yx+4x)/2
(yx+5x)
(yx+2x)/3
(yx-x)/3
Answer: C
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Choices:
6
8
4
1
Answer: C
Question: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $6.00?
Choices:
72
90
120
240
Answer: A
Question: The price of an article is cut by 10%. To restore it to the former value, the new price must be increased by
Choices:
9 1/11 %
11 1/9%
11%
None
Answer: B
Question: Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time V it could take for 10 cars to be complete?
Choices:
115 2/5 minutes
116 minutes
120 minutes
125 minutes
Answer: C
Question: What approximate value should come in place of question mark (?) in the following equation?
33 1⁄3% of 768.9 + 25% of 161.2 – 69.12 = ?
Choices:
229
235
220
240
Answer: A
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 16%?
Choices:
26%
27%
40%
70%
Answer: A
Question: A vendor sells 20 percent of the pears he had and throws away 50 percent of the remainder. The next day, the vendor sells 20 percent of the remaining pears and throws away the rest. In total, what percent of his pears does the vendor throw away?
Choices:
60
64
68
72
Answer: D
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
5
7
8
2
Answer: C
Question: At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 7:3. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?
Choices:
46/2
13/30
23/6
4/6
Answer: B
Question: The perimeter of a semi circle is 113 cm then the radius is?
Choices:
28
19
11
22
Answer: D
Question: A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders W when the order of the divisors is reversed.
Choices:
4,2,1
W=3,2,1
W=6,4,2
None of above
Answer: C
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
Choices:
5 years
4 years
6 years
3 years
Answer: C
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:12. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
17
13
10
12
Answer: D
Question: Jane started baby-sitting when she was 20 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?
Choices:
21
22
23
24
Answer: B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 4 cm and breadth 2 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:
4.71
4.32
4.21
4.68
Answer: A
Question: A group of 6 volunteers is to be interviewed and selected from a pool of 9 candidates. How many different volunteer groups are possible?
Choices:
52
84
56
336
Answer: B
Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 48. Find the third number?
Choices:
85
48
43
84
Answer: B
Question: Six children — A, B, C, D, E, F — are going to sit in seven chairs in a row. The children CF have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Choices:
240
1440
4320
4800
Answer: A
Question: At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 14 charts have been brought to the meeting, how many people are present?
Choices:
7
8
9
10
Answer: B
Question: Find the cost price of an item if by selling at Rs.1255, a profit of 10% is made?
Choices:
Rs.3000
Rs.2100
Rs.1129
Rs.1985
Answer: C
Question: The avg. age of a group of 24 students is 20 years.If 4 more students join the group,the avg age increases by 1 year.The avg age of the new student is?
Choices:
23 years
24 years
25 years
27 years
Answer: D
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 40% goods during theft. His loss percent is:
Choices:
42%
34%
12%
22%
Answer: B
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
100
120
160
200
Answer: B
Question: The price of rice has increased by 60%. In order to restore to the original price, the new price must be reduced by ?
Choices:
37 1/2%
40%
45%
NONE
Answer: A
Question: If Feb 12th,1986 falls on Wednesday then Jan 1st,1987 falls on which day?
Choices:
friday
Thursday
saturday
0
Answer: B
Question: A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3400, A will get:
Choices:
Rs.1500
Rs. 2040
Rs.2000
None of these
Answer: B
Question: 6 people can do work in 80 days how much people they required to complete the work in 16
days ?
Choices:
20
30
40
50
Answer: B
Question: A clock shows 5.20. After how much time both hands will coincide together?
Choices:
5 5/11 minutes
3 2/11 minutes
4 2/11 minutes
7 2/11 minutes
Answer: A
Question: In an examination 35% of the students passed and 351 failed. How many students appeared for the examination?
Choices:
A)540
C)700
D)650
E)840
Answer: A
Question: A boy rides his bicycle 10km at an average speed of 12km/hr and again travels 12km at an average speed of 10km/hr. His average speed for the entire trip is approximately?
Choices:
10.8km/hr
12.6km/hr
15.6km/hr
14km/hr
Answer: A
Question: A grocer has a sale of Rs 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6500 ?
Choices:
4991
5987
6453
None of these
Answer: A
Question: Two persons enter the lift of a five storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor
Choices:
10
12
14
16
Answer: D
Question: Rose and John had the same number of candies. Rose gave John 24 candies so that now John has five times as many candies as Tina has. John has now how many candies?
Choices:
48
54
60
65
Answer: C
Question: X completes a work in 70 days and Y complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
22 days.
25 days.
36 days.
21 days.
Answer: D
Question: What is the length of the longest pole which can be kept in a room 6 m long, 4 m broad and 3 m high?
Choices:
9
11
13
None
Answer: D
Question: In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 26 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
Choices:
32
48
54
60
Answer: A
Question: How many integers n are there such that 1< 4n + 4 < 16?
Choices:
1
2
3
4
Answer: C
Question: Fom the integer n, if n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n is even
n*n is even
n is even
n*n is odd
Answer: A
Question: A can have a piece of work done in 7 days, B can work five times faster than the A, C can work six times faster than A. How many days will they take to do the work together ?
Choices:
3/2 days
4/3 days
can't say
none
Answer: A
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
Rs.285
Rs.228
Rs.217
Rs.123
Answer: C
Question: Mandrake has to choose from 4 from 14 people. There are 3 girls, 5 boys , 6 children. What is total probability that he will choose 1G , 2B , 1C?
Choices:
2/7
3/7
4/7
16/89
Answer: D
Question: How many numbers between 1000 and 5000 are exactly divisible by 225?
Choices:
18
19
12
21
Answer: A
Question: Doughnuts, Cookies and Muffins in a pastry shop are in the ratio of 5: 3 : 1. If there are 50 Doughnuts, the number of Muffins in the shop is:.
Choices:
30
10
15
20
Answer: B
Question: Exactly 36% of the numbers in set R are even multiples of 3. If 40% of the even integers in set R are not multiples of 3, what percent of the numbers in set R are not even integers?
Choices:
60%
50%
40%
24%
Answer: C
Question: A man walking at a rate of 15km/hr crosses a bridge in 40 minutes. The length of the bridge is?
Choices:
1110m
2000m
1000m
1300m
Answer: B
Question: A box contains 3 yellow balls and 7 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choices:
7/10
5/8
2/3
3/7
Answer: A
Question: A circle graph shows how the budget of a certain company was spent: 15 percent for transportation, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for salaries. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent salaries?
Choices:
222°
228°
234°
240°
Answer: C
Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
Choices:
4:5
1:3
1:1
1:4
Answer: A
Question: 12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 16 cm height. What is the diameter of each sphere?
Choices:
6 cm
8 cm
10 cm
12 cm
Answer: B
Question: X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Choices:
4
6
9
5
Answer: D
Question: Two members of a certain club are selected to speak at the next club meeting. If there are 15 different possible selections of the 2 club members, how many members does the club have?
Choices:
6
7
8
9
Answer: A
Question: Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 2000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995?
Choices:
12500
42000
Data inadequate
None of these
Answer: B
Question: If 2 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King and other will be 10?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit
Choices:
18/2652
1/2652
12/2652
16/2652
Answer: A
Question: Ayesha's father was 35 years of age when she was born while her mother was 30 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
8 years
9 years
Answer: D
Question: sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6700 ?
Choices:
6191
2877
2676
1881
Answer: A
Question: In one can of mixed nuts, 10% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
Choices:
20%
25%
33 1/3%
35%
Answer: C
Question: There is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save. Auggie was very curious to test this theory.
Auggie spent all of his money in 5 stores. In each store, he spent Rs.4 more than one-half of what he had when he went in. How many rupees did Auggie have when he entered the first store?
Choices:
248
252
250
350
Answer: A
Question: What is the sum of the odd integers from 25 to 55, inclusive?
Choices:
550
555
600
640
Answer: D
Question: A farmer is having a total of 20 fruits (apples or oranges). He made two type packets with these fruits. All the fruits are in either apple packets of orange packets. Apple Packets contain 3 apples each and Orange packets contain 2 oranges each.
If |apple packets| < 4
Then How many packets of apples the farmer can have. When number of apple and orange packets are both positive integers above zero.
Choices:
2
4
7
6
Answer: A
Question: A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?
Choices:
20
60
50
40
Answer: A
Question: The average (arithmetic mean)R of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true?
I. x is an integer
II. (x−0.5) is an integer.
III. 2x is an odd integer.
Choices:
II only
III only
II and III only
None of the above
Answer: D
Question: A grocer stacked oranges in a pile. The bottom layer was rectangular with 4 rows of 5 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
Choices:
6
3
2
1
Answer: A
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
4 1/5 Km
3 2/5 Km
3 3/5 Km
Answer: A
Question: Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 23 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
Choices:
72
86
98
102
Answer: D
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:
10.39
10.3
10.34
10.31
Answer: B
Question: An entry in an unshaded square is obtained by adding the entries connected to it from the row above (11 is one such number). Write the value of n ?
Choices:
10
12
9
8
Answer: A
Question: The population of a town is 10000. It increases annually at the rate of 40% p.a. What will be its population after 2 years?
Choices:
14400
19600
14600
14700
Answer: B
Question: Length of a rectangular plot is 20mtr more than its breadth. If the cost of fencing theplot at 26.50 per meter is Rs.5300, what is the length of the plot in mtr?
Choices:
60 m
70 m
77 m
80 m
Answer: A
Question: How much interest will $10,000 earn in 9 months at an annual rate of 4%?
Choices:
$300
$450
$550
$650
Answer: A
Question: What is the remainder when 8^714 is divided by 5 ?
Choices:
3
1
0
4
Answer: D
Question: A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 40 inches. Find b.
Choices:
6
24
32
48
Answer: A
Question: The edge of a cube is 5a cm. Find its surface?
Choices:
150a2 cm2
125a2 cm2
175a2 cm2
120a2 cm2
Answer: A
Question: Of the 65 cars on a car lot, 45 have power steering, 25 have power windows, and 17 have both power steering and power windows. How many of the cars on the lot have neither power steering nor power windows?
Choices:
8
12
15
18
Answer: B
Question: If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I.	x > y>z
II.	x > y
III. x = z
Choices:
I only
II only
III only
None
Answer: B
Question: To create paint with a certain shade of gray, one must combine 2.116 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Choices:
165.4
347.1
694.4
705.6
Answer: A
Question: Statements: The old order changed yielding place to new.
Assumption:
1) Change is the law of nature.
2) Discard old ideas because they are old.
Choices:
Only conclusion I follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: A
Question: A man is 24 years older than his son.In two years, his age will be twice the age of his son.The present age of the son is :
Choices:
22
45
32
15
Answer: A
Question: The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?
Choices:
12 and 18
30 and 16
21 and 63
22 and 44
Answer: B
Question: In how many R 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:
R=144
R=12
R=48
96
Answer: A
Question: If 25% of x is 20 less than 15% of 1500, then x is?
Choices:
820
837
840
83
Answer: A
Question: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
Choices:
28%p.a
20%p.a
24%p.a
26%p.a
Answer: B
Question: Which of the following functions does not intersect with E = 3x^2 + 2x + 1
Choices:
E = 2x^2 + 3x + 1
E = 3x^2 + 2x + 3
E = 4x^2 + 2x - 3
E = x^2 + 2x + 3
Answer: B
Question: Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Choices:
14
27
53
86
Answer: A
Question: A fast food truck spends one third of its monthly budget for truck rent and half of the rest for food and beverages. What percentage of the budget does the fast food truck spend for food and beverages?
Choices:
32.5%
33.33%
30%
75%
Answer: B
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 12% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
2/30
19/50
12/90
3/70
Answer: B
Question: Difference of two numbers is 1760. If 7.5% of the number is 12.5% of the other number , find the number ?
Choices:
3660, 4400
3000, 4160
2490, 4150
4660, 3000
Answer: A
Question: A student multiplied a number by 3/5 instead of 5/3.
What is the percentage error in the calculation?
Choices:
44%
54%
64%
None
Answer: C
Question: If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 222 responses are needed, what is the minimum number of questionnaires that should be mailed?
Choices:
370
460
550
640
Answer: A
Question: A fruit salad mixture consists of apples, peaches, and grapes. There are 2 times as many pounds of apples as grapes and 3 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 12 pounds per fruit, how many more pounds of apples than grapes does the mixture have?
Choices:
12
9
6
4
Answer: D
Question: 34 is related to 12 in the same way as 59 is related to
Choices:
45
77
88
61
Answer: A
Question: Evaluate 28% of 450 + 45% of 260
Choices:
243
252
262
282
Answer: A
Question: Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 25 in two years, at the same percent rate per annum?
Choices:
s. 40
s. 49
s. 20
s. 60
Answer: A
Question: What is the largest 4 digit number exactly divisible by 88?
Choices:
9944
9988
9900
9991
Answer: A
Question: Two cyclists are running on a circular track of 500m.They start from the same point A at the same time.If they meet for the first time at a point 300 m from A, which of the following could be the possible ratio of their speeds?
Choices:
2:3
3:2
5:7
7:11
Answer: B
Question: There are 4 more women than there are men on a local co-ed softball team. If there are a total of 18 players on the team, what is the ratio of men to women?
Choices:
6/16
7/11
6/10
4/10
Answer: B
Question: What value should come in place of question mark (?) in the following equations ?
64% of 1775 + 36% of 550 = ? % of 6670
Choices:
20
30
40
45
Answer: A
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 20 percent alcohol by volume?
Choices:
200
400
500
600
Answer: A
Question: If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 329, which of the following could be equal to n?
Choices:
37
39
41
42
Answer: A
Question: If N is the product of all positive integers less than 31, than what is the greatest integer k for which N/18^k is an integer?
Choices:
6
7
14
26
Answer: B
Question: The average weight of 16 students in a class is 50.25 kg and that of the remaining 8 students is 45.15 kg. Find the average weights of all the students in the class.
Choices:
A)48.55
C)51
D)61
E)62
Answer: A
Question: A cylinder of radius R and height H is reshaped. Which of the following changes results in the cylinder of greatest volume?
Choices:
a 500% increase in H and a 50% decrease in R.
a 300% increase in H and a 30% decrease in R
a 70% decrease in H and a 100% increase in R
a 100% increase in H and a 10% decrease in R
Answer: B
Question: A bucket full of nuts was discovered by the crow living in the basement. The crow eats a sixth of the total number of nuts in 4 hours. How many hours i total will it take the crow to finish a quarter of the nuts?
Choices:
6
10
12
14
Answer: A
Question: A computer program produces a sequence a1, a2, a3, ... such that a1=a2=1 and ak=a(k-1)*3-1 for 2 < k < n for some n. If n=9, what is a6?
Choices:
37
39
41
43
Answer: C
Question: Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "DOG"?
Choices:
75
78
81
84
Answer: B
Question: All of the students of Music High School are in the band, the orchestra, or both. 60 percent of the students are in only one group. There are 106 students in the band. If 10 percent of the students are in the band only, how many students are in the orchestra only?
Choices:
110
116
106
112
Answer: C
Question: There are 500 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?
Choices:
200
250
350
400
Answer: B
Question: A shirt goes on sale for 60% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?
Choices:
70%
52%
50%
28%
Answer: B
Question: The third proportional to 1 and 5 is?
Choices:
27
24
25
3
Answer: C
Question: A man covers a certain distance Q in a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance?
Choices:
50 km
20 km
60 km
80 km
Answer: C
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 40 ps per meter is?
Choices:
369
100
279
361
Answer: B
Question: Dana borrows 5000 pounds annually for her college education. If Dana gives her parents 4% of that amount back each month, how much will she still owe her parents after four years of college?
Choices:
10000
10200
10400
10600
Answer: B
Question: Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 12 such machines produce in 4 minutes ?
Choices:
1800
2700
2160
None of these
Answer: C
Question: If 7125¸1.25= 5700< the value of 712.5÷12.5 is:
Choices:
57
570
0.57
0.057
Answer: A
Question: Find the percentage gain if a shop owner sells 10 mtr of fabric and gains Cost Price of 2 meters?
Choices:
12%
19%
25%
20%
Answer: D
Question: A sum is invested at compounded interest payable annually. The interest in the first two successive years was Rs. 400 and Rs. 420. The sum is
Choices:
Rs. 8000
Rs.7500
Rs. 8500
Rs. 9000
Answer: A
Question: A chocolate has 12 equal piece. Monju gave 1/4th of it to Anju, 1/3rd of it to Sujata and 1/6th of it to Fiza. The number of piece of chocolate left with Manju is?
Choices:
2
3
4
5
Answer: B
Question: A certain manufacturer sells its products	to stores in 110 different	regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an	average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufacturer’s product	sold	worldwide last	year?
Choices:
10^6
10^7
10^8
10^9
Answer: D
Question: If 4x + 3y = 8 and y-3x = 8, then what is the value of x + 4y?
Choices:
16
15
52/7
60/7
Answer: A
Question: The total of company C's assets in 1994 was 100% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Choices:
8N
9N
10
20
Answer: C
Question: z is a positive integer and multiple of 2; p = 4^z, what is the remainder when p is divided by 10?
Choices:
6
4
0
It Cannot Be Determined
Answer: A
Question: How many positive integers, from 2 to 100, inclusive, are not divisible by odd integers greater than 1?
Choices:
6
8
10
50
Answer: A
Question: If q and r are both odd numbers C , which of the following must also be odd?
Choices:
(q + r)^2
q(q + r)
(qr)^2
q/r
Answer: C
Question: 23, 25, 53, 163, 657, 3291, ?
Choices:
18753
17753
19753
17532
Answer: C
Question: If you have 5 New Year greeting cards and you want to send them to 3 of your friends, in how many ways can this be done?
Choices:
60
20
70
None
Answer: A
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?
Choices:
2688
2688
9490
1268
Answer: C
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.2
7.5
7.4
7.3
Answer: A
Question: If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
189km
197km
200km
205km
Answer: A
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choices:
Rs. 8000
Rs. 9000
Rs. 9900
Rs. 10000
Answer: D
Question: 1!+2!+3!+4!+5!+.......100! is divided by 24. Find the remainder?
Choices:
7
9
11
14
Answer: B
Question: Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 50. He was allowed to drop his lowest score. After doing so, his average test score improved to 55. What is the lowest test score that was dropped?
Choices:
35
55
65
80
Answer: A
Question: A 18% stock yielding 8% is quoted at?
Choices:
170
175
180
225
Answer: D
Question: What is the sum of all consecutive multiples of 8 between 400 and 600, inclusive?
Choices:
10,400
12,500
13,000
15,000
Answer: C
Question: P and Q can complete a work in 40 days and 24 days respectively. P alone started the work and Q joined him after 8 days till the completion of the work. How long did the work last?
Choices:
10 days
14 days
20 days
26 days
Answer: C
Question: A certain quantity is measured on two different scales, the B-scale and the S-scale, that are related linearly. Measurements on the B-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the B-scale corresponds to a measurement of 100 on the S-scale?
Choices:
36
48
60
84
Answer: B
Question: Which one of the following is not a prime number?
Choices:
61
71
91
93
Answer: C
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 2 1/2 percent?
Choices:
500
700
288
211
Answer: B
Question: There are 7 executives, including the CEO and CFO, that are asked to form a small team of 4 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Choices:
25
30
32
35
Answer: A
Question: The third proportional to 0.24 and 0.36 is :
Choices:
64
54
58
66
Answer: B
Question: What is the number of different committees of 9 people that can be selected from a group of 10 people?
Choices:
b) 40
c) 80
d) 10
e)1
Answer: C
Question: What are the last two digits of 35*37*82*71*41?
Choices:
30
50
70
80
Answer: B
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
Choices:
240
277
877
361
Answer: A
Question: If k is an integer and 2 < k < 8, for how many different values of k is there a triangle with sides of lengths 3, 6, and k?
Choices:
1
2
3
4
Answer: D
Question: During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 150 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?
Choices:
320
360
400
480
Answer: C
Question: There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs.4576 , then what was the price of the article initially?
Choices:
Rs.3000
Rs.4000
Rs.2000
Rs.6000
Answer: B
Question: At the Boonsoft Museum, 1 out of every 3 paintings are abstract. If 1 out of every 4 abstract paintings are by Van Heymoe, and there are 20 paintings by Van Heymoe in the museum, how many paintings total are there in the museum?
Choices:
250
240
300
350
Answer: B
Question: If a certain sample of data has a mean of 11.0 and the value 20.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
Choices:
3.55
4.25
4.0
2.75
Answer: A
Question: A man buys 10 lts of liquid which contains 20% of the liquid and the rest is water. He then mixes it with 15 lts of another mixture with 30% of liquid. What is the % of water in the new mixture?
Choices:
74
94
49
47
Answer: A
Question: The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?
Choices:
Rs. 500
Rs. 600
Rs. 800
Rs. 900
Answer: A
Question: In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?
Choices:
80%
58%
50%
53%
Answer: C
Question: If y is the smallest positive integer such that 8,820 multiplied by y is the square of an integer, then y must be
Choices:
5
6
7
14
Answer: A
Question: If 20 men take 15 days to to complete a job, in how many days can 25 men finish that work?
Choices:
12
77
8
6
Answer: A
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Choices:
8000
2678
1276
1871
Answer: A
Question: If m times the mth series of an A.P. is equal to n times its nth series, what is the (m+n)th term of the A.P. ?
Choices:
0
n
mn
None of these
Answer: A
Question: If there are 200 questions in a 3 hr examination. Among these questions are 10 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
Choices:
17.14286 min
70.1346 min
74 min
76.1346 min
Answer: A
Question: Seven cards numbered from 1 to 7 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 9, what is the probability that one of the two cards drawn is numbered 5?
Choices:
1/3
1/5
2/5
2/7
Answer: A
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4%
6%
3%
2%
Answer: A
Question: If n is a natural number, then 6n^2 + 6n is always divisible by?
Choices:
6 and 12 both
12 only
18 only
20 only
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.500 more, there would have been a gain of 10%. What is the cost price?
Choices:
2998
2500
2788
2991
Answer: B
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Choices:
14 years
33 years
38 years
42 years
Answer: A
Question: CONVERT 2.5 hectares in ares
Choices:
160 ares.
180 ares.
230 ares.
250 ares.
Answer: D
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 3% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Choices:
2:5
1:6
1:4
1:3
Answer: A
Question: Given distinct positive integers 1, 12, 3, x, 2, and 9, which of the following could be the median?
Choices:
3
6
8
9
Answer: B
Question: Four faces of a fair die are Yellow, three faces red and one blue.The die is tossed three
times. The probability that the colours, yellow, red and blue appear in the first, second and
third tosses respectively is
Choices:
1/18
1/32
1/37
None of these
Answer: A
Question: A man buys a cycle for Rs.1400 and sells it at a loss of 20%. What is the selling price of the cycle?
Choices:
Rs.1160
Rs.1120
Rs.1202
NONE
Answer: B
Question: How many seconds does Puja take to cover a distance of 500 m, if she runs at a speed of 30 km/hr?
Choices:
60 sec
95 sec
100 sec
120 sec
Answer: A
Question: If 1/a^2 + a^2 represents the diameter of circle O and 1/a + a = 5, which of the following best approximates the circumference of circle O?
Choices:
28
20
16
12
Answer: A
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
180
200
210
220
Answer: C
Question: A certain junior class has 1,200 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
Choices:
1/3,600
9/2,000
1/60
1/16,000
Answer: D
Question: The greatest number which on dividing 1657 and 2037 leaves remainders 10 and 7 respectively, is:
Choices:
1
235
305
505
Answer: A
Question: Find 6 + 9 + 12 + . . . + 30
Choices:
162
167
169
171
Answer: A
Question: The number of cars present at a particular time was measured at 4,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 20% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?
Choices:
1,333
1,860
2,160
2,272
Answer: D
Question: ind next number in the series
23 21 24 19 26 15 28 11 30 7 36 ?
Choices:
20
5
40
34
Answer: B
Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Choices:
2700
2200
2900
2400
Answer: D
Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Choices:
8 days
5 days
4 days
2 days
Answer: A
Question: In a class 30 students play cricket, 40 students play football and 20 play none of the two games.
If there are 80 students exactly in the class, how many play exactly ONE of the two games?
Choices:
50
80
85
90
Answer: A
Question: 47% of the students in a class of 40 students has glasses or contacts. How many students in the class have either glasses or contacts?
Choices:
16
17
18
19
Answer: D
Question: If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 70?
Choices:
12
13
14
17
Answer: D
Question: A problem is given to 3 students A, B and C whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the chance that the problem is solved.
Choices:
1/2
1/4
3/4
3/7
Answer: C
Question: In one hour a boat goes 6 km/hr along the stream and 14 km/hr against the stream. The speed of the boat in still water(in km/hr) is?
Choices:
10 km/hr
15 km/hr
30 km/hr
40 km/hr
Answer: A
Question: A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be ?
Choices:
8 days
12 days
14 days
16 days
Answer: A
Question: Average age of A and B is 24 years and average age of B, C and D is 22 years. The sum of the ages of
A, B, C and D is
Choices:
98
120
Data is not adequate
None of these
Answer: C
Question: If a man can cover 10 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
135 km
115 km
105 km
235 km
Answer: A
Question: In a group of ducks and cows, the total number of legs are 30 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
12
14
15
18
Answer: C
Question: There are 10 points on a circle. A hexagon can be formed by linking 6 of the 10 points. How many such hexagons are possible?
Choices:
120
200
210
600
Answer: C
Question: One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 4 robots altogether, if the robots build only one robot at a time?
Choices:
70 min
110 min
112 min
120 min
Answer: A
Question: After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 73%?
M13-03.
Choices:
N+72
2N+70
2N+74
2N−35
Answer: C