antoine-444/aqua_rat_dataset huggingface dataset:
Question: According to a recent student poll, 4/5 out of 20 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
Choices:
52/95
92/95
42/95
32/95
Answer: B
Question: A sum of money at simple interest amounts to Rs. 815 in 2 years and to Rs. 854 in 3 years. The sum is:
Choices:
698
780
737
None
Answer: C
Question: Mrs. Smith is 8 years more than twice the age of his son. The ages of son is 12.Find the age of mother and find the difference between their ages.
Choices:
20yrs
24yrs
26yrs
28yrs
Answer: A
Question: If A(k)=(k+1)^-k, and k=0, what is the value of A(A(A(k)))?
Choices:
(2/3)^(1/2)
1
(3/2)^(1/2)
(2/3)^-2
Answer: A
Question: If a and b are prime numbers, which of the following CANNOT be the sum of a and b?
Choices:
25
33
46
53
Answer: D
Question: A train passes a station platform in 50 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
168 m
300 m
691 m
Answer: C
Question: Set S consists of integers {6, 8, 10, 12, 14}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 30%. What is the value of integer n?
Choices:
12
16
22
28
Answer: D
Question: A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hr?
Choices:
7.2 km/hr
8 km/hr
8.4 km/hr
8.9 km/hr
Answer: A
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Choices:
180
129
187
987
Answer: A
Question: When the positive integer A is divided by 9 and 8, the remainder is 3 and 4, respectively. When the positive integer B is divided by 9 and 8, the remainder is 3 and 4, respectively. Which of the following must be a factor of A-B?
Choices:
49
56
65
72
Answer: D
Question: If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 8000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is ready for college?
Choices:
$15000
$32000
$10000
$9000
Answer: B
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 59?
Choices:
s.4012
s.3942
s.3965
s.3929
Answer: A
Question: A third of Arunâ€™s marks in mathematics exceed a half of his marks in English by 15.If he got 170 marks in two subjects together how many marks did he got in English?
Choices:
120,50
180,90
120,40
None of them
Answer: A
Question: The product of all the prime numbers less than 17 is closest to which of the following powers of 10?
Choices:
10^8
10^7
10^6
10^5
Answer: D
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
20 mins
10 mins
25 mins
30 mins
Answer: B
Question: The L.C.M. of 2 numbers is 66. The numbers are in the ratio 2:3. Find their sum?
Choices:
40
48
32
55
Answer: D
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
Rs.70
Rs.90
Rs.28
Rs.20
Answer: B
Question: For a certain exam,a score of 86 was 5 standard deviations above mean and a score of 67 was 2.5 standard deviations above mean.What was the mean score for the exam?
Choices:
55
48
42
49
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
267
287
267
Answer: A
Question: A bag consists of 50 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
Choices:
2/4
1/4
1/8
9/10
Answer: D
Question: Car A runs at the speed of 50km/hr & reaches its destination in 6hr. Car B runs at the speed of 100 km/h & reaches its destination in 1h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
3 :1
13 : 7
15 : 7
16 : 9
Answer: A
Question: Find the least number of candidates in an examination so that the percentage of successful candidates should be 76.8%:
Choices:
105
125
135
145
Answer: C
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 600 per sq.metre.
Choices:
Rs. 15,500
Rs. 12,375
Rs. 16,500
None
Answer: B
Question: P can do a certain work in 20 days. Q is 60% more efficient than P. How many days does Q alone take to do the same job?
Choices:
16.5
12.5
10.5
8.5
Answer: B
Question: Among the employees of a certain company, 52 percent of the employees are male and 48 percent are female. In this company 70 percent of the male employees are married and 60 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?
Choices:
0.4
0.45
0.6
0.7
Answer: B
Question: A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?
Choices:
7
9
6
4
Answer: A
Question: How many integers k greater than 100 and less than 700 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
Choices:
50
70
80
90
Answer: A
Question: A man can row 3.9 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?
Choices:
1.7
1.3
1.5
1.1
Answer: B
Question: In the x- y plane, there are 4 points (0,0), (0,4), (5,4), and (5,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
Choices:
2/5
3/4
3/7
5/8
Answer: A
Question: In the rectangle below, the line MN cuts the rectangle into two regions. Find x the length of segment NB so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.
Choices:
1 meter
3 meter
4 meter
5 meter
Answer: A
Question: The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If t of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
Choices:
y/(R-x)
xy/(R-x)
ty/(R(R-t))
y/(R(R-x))
Answer: C
Question: The ratio of number of boys to that of girls in a school is 3:2.if 20% of boys and 25 % of girls are scholarship holders,find the percentage of those who are not scholarship holders.
Choices:
76
77
78
79
Answer: C
Question: Two brands of detergent are to be combined. Detergent X contains 20 percent bleach and 80 percent soap, while Detergent Y contains 45 percent bleach and 55 percent soap. If the combined mixture is to be 35 percent bleach, what percent of the final mixture should be Detergent X?
Choices:
32 1/2 %
35%
40%
60%
Answer: C
Question: If a fair coin is flipped eight times in a row, what is the probability that there will be at least one head and one tail?
Choices:
11/12
31/32
127/128
255/256
Answer: C
Question: A trader marks his goods at such a price that he can deduct 15% for cash and yet make 20% profit. Find the marked price of an item which costs him 90 :
Choices:
105 3⁄21
127 1⁄17
95 1⁄21
None of these
Answer: B
Question: A man has 3 blue shirts, 3 green shirts and 1 red shirt. Everyday of the week we wears a different shirt, how many ways can he choose his shirts to wear them along the week? Consider that he never wears a shirt more than one time a week and he ways wears all his shirts on the week.
Choices:
7!/3!(2)
6!/3!1!
7!/2!(3)
7!/2!(2)
Answer: A
Question: The average of first 9 prime numbers is?
Choices:
11.11
12.11
13.11
14.11
Answer: A
Question: A dishonest milkman sells a 30 liter mixture of milk and water that contains milk and water in the ratio of 3:2. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 10 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. What is the ratio of milk and water in the final mixture?
Choices:
3:5
2:3
3:2
5:3
Answer: C
Question: Two cars cover the same distance at the speed of 40 and 44 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
Choices:
277
960
278
600
Answer: D
Question: Ram's shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?
Choices:
0.75
c) 8/9
5/7
6/8
Answer: C
Question: a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five
numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of
the following numbers R was deleted?
Choices:
b
c
d
e
Answer: B
Question: Two trains start from A & B and travel towards each other at
speed of 100kmph and 120kmph resp. At the time of the meeting the
second train has traveled 10km more than the first.the distance
between them.
Choices:
50 km
70 km
90 km
110 km
Answer: D
Question: A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 120 miles per hour, it reaches the station 30 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?
Choices:
5.5 hours, 600 miles
4 hours, 450 miles
5 hours, 550 miles
6 hours, 650 miles
Answer: A
Question: Sandy can do a job in 12 days and Molly can do the same job in 24 days. If they work together, in how many days will they complete the job?
Choices:
7
8
9
10
Answer: B
Question: How many positive integers R less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?
Choices:
18
17
16
15
Answer: D
Question: Mark bought a set of 6 flower pots of different sizes at a total cost of $7.80. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?
Choices:
$1.93
$2.00
$2.15
$2.30
Answer: A
Question: A box contains 11 apples, 10 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n?
Choices:
4
5
6
7
Answer: C
Question: 1 ltr of water is added with 3 ltr of a solution containing 33%of alcohol in the water. The %of alcohol in the new mixture is?
Choices:
23%
24.5%
24.75%
30%
Answer: C
Question: Find out the ratio of milk to that of water ,if a mixture is formed after mixing milk and water of 3 different vessels containning the mixture of milk to that of water in the proportion 3:2, 7:3, 9:2 respectively.
Choices:
233:97
236:97
265:98
234:97
Answer: A
Question: Which of the following is a parallelogram?
Choices:
110,70,110,70(angle in deg)
90,90,95,95(angle in deg)
a & c
none
Answer: A
Question: If n divided by 7 has a remainder of 2, what is the remainder when 4 times n is divided by 7?
Choices:
1
3
5
8
Answer: A
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:1. What is the ratio of luxury cars to sport utility vehicles?
Choices:
8:3
3:2
2:3
1:2
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 38, the dividend is:
Choices:
3648
3636
3644
3864
Answer: A
Question: What is the simplified result of following the steps below in order?
(1)	add 5y to 2q
(2)	multiply the sum by 3
(3)	subtract q + y from the product
Choices:
5q + 14y
5x + 5y
6x + 4y
3x + 12y
Answer: A
Question: In how many ways can 5 apples (identical) be distributed among 3 children? (Some children may get no apples.)
Choices:
18
21
24
27
Answer: B
Question: Find the average of all prime numbers between 30 and 50?
Choices:
19.8
39.8
29.8
20.8
Answer: B
Question: Which of the following is the product of two integers whose sum is 18?
Choices:
-28
12
26
32
Answer: D
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
277
40
88
11
Answer: B
Question: Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment
S1 ---------------------- 3 ------------------------------------------ 8,000
S2 ---------------------- 5 ------------------- ---------------------- 12,000
S3 ---------------------- 6 ------------------------------------------ 18,000
S4 ---------------------- 4 ------------------------------------------ 16,000
A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?
Choices:
22
20
24
25
Answer: B
Question: I. All the offices on the 9th floor have wall-to-wall carpeting.
II. No wall-to-wall carpeting is pink.
III.None of the offices on the 9th floor has pink wall-to-wall carpeting.
If the first two statements are true, the third statement is
Choices:
true
uncertain
none
223
Answer: A
Question: If d and y are positive integer and d/y is an even integer, which of the following can be an odd integer?
Choices:
xy
x−y
x+2y
d/3
Answer: D
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?
Choices:
Rs.4000
Rs.4028
Rs.4050
Rs.4032
Answer: A
Question: If r is even and t is odd, which of the following is odd r or t?
Choices:
6rt
6(r^2)t
6r + 5t
5r + 6t
Answer: D
Question: If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 54kmh, what was the average speed of the car for the entire trip?
Choices:
40 kmh
41 kmh
44 kmh
50 kmh
Answer: B
Question: If p and n are positive integers, with p > n, what is the average of n consecutive multiples of p (starting with p), less the average of p consecutive multiples of n (starting with n)?
Choices:
(p – n)/2
p + n
p – n
p^2 – n^2
Answer: A
Question: Kim bought a total of $2.95 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?
Choices:
10
15
20
45
Answer: D
Question: Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Choices:
79
29
27
19
Answer: A
Question: Awordis defined as a sequence of four dots arranged in a row. Each dot is colored either red or blue. How many distinct words can be formed?
Choices:
16
6
18
9
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.78
5.76
5.75
5.71
Answer: B
Question: A man purchases 2 watches for $ 520. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Choices:
$ 208 and $ 312
$224 and $336
$560 and $560
$224 and $ 350
Answer: A
Question: If p and q are positive integers each greater than 1, and 17(p+1)=21(q+1), what is the least possible value of p+q?
Choices:
36
44
46
none
Answer: A
Question: The roof of an apartment building is rectangular and its length is 3 times longer than its width. If the area of the roof is 675 feet squared, what is the difference between the length and the width of the roof?
Choices:
30.
42.
44.
46.
Answer: A
Question: If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?
I. c is even
II. ab > 2
III. ab is even
Choices:
III only
I and II
I and III
I, II, and III
Answer: A
Question: X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (X + Y) is an odd number.
2. Y^(X + Y) is an integer.
3. X^Y is a positive number.
Choices:
3 only
1 and 3 only
2 and 3 only
1, 2 and 3
Answer: A
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Choices:
3
5
7
9
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 57?
Choices:
920
7290
3876
3729
Answer: C
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Choices:
10 2/6
10 2/3
10 2/2
10 2/1
Answer: B
Question: 16! is equal to which of the following?
Choices:
20,922,789,888,000
20,922,789,888,525
20,922,789,888,416
20,922,789,888,928
Answer: A
Question: If a 3-member subcommittee is to be formed from a certain 7-member committee, how many different such subcommittee are possible?
Choices:
18
35
108
216
Answer: B
Question: For integers x, y, and z, if (3^x) (4^y) (5^z) = 209,715,200,000 and x + y + z = 18, what is the value of xy/z?
Choices:
0
5
7
9
Answer: A
Question: Which of the following expressions CANNOT have a negative value
Choices:
|a + b| – |a|
|2a + b| + |a + b|
a^2 - b^2 – 2|ab|
|a^3 + b^3| – a – b
Answer: B
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
Choices:
4000
4050
5000
None
Answer: A
Question: P can do a work in 24 days. Q can do the samework in 9 days & R can do the same work in 12 days. Q & R start the work and leave after 3 days. P finishes the remaining work in how many days.
Choices:
10
14
16
19
Answer: A
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
70 sec
21 sec
20 sec
19 sec
Answer: C
Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 10 mat-weavers in 10 days?
Choices:
25
39
61
16
Answer: A
Question: A grocer wants to arrange 13 fruits in a line among which 3 are mangoes, 4 are apples, 2 are oranges, 1 pineapple and remaining are guavas. In how many different ways can he do so, if fruits of one kind are identical?
Choices:
13!/{(2!)(3!^2)(4!)}
13!/{(2!)(4!)}
13!
13!/(3!^2)
Answer: A
Question: In how many ways 6 persons can be formed from 8 men and 7 women?
Choices:
5005
4516
2313
3564
Answer: A
Question: If x = 4 and y = −2, what is the value of (x − 2y)^y?
Choices:
0.015
0.25
4
8
Answer: A
Question: At a certain college there are twice as many Economics majors as history majors and three times as many Economics majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?
Choices:
6 to 4
2 to 3
1 to 5
1 to 6
Answer: A
Question: Simplify: 6005-6000+10
Choices:
4509
5405
4508
None of them
Answer: B
Question: The total age of A and B is 16 years more than the total age of B and C. C is how many year younger than A
Choices:
B)12
C)13
D)16
E)15
Answer: C
Question: If selling price of 12 pens is equal to the cost price of 18 pens, find the profit percent.
Choices:
33.3%
50%
25%
None of these
Answer: B
Question: Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?
Choices:
2.
3
5.
4
Answer: A
Question: If p and q are positive integers each greater than 1, and 17(p+1)=25(q+1), what is the least possible value of p+q?
Choices:
42
40
46
none
Answer: B
Question: The length of a rectangular field is 7/5 its width. If the perimeter of the field is 432 meters, what is the width of the field?
Choices:
60
70
80
90
Answer: D
Question: In case N is the only individual sewing on committee B, which among the following shouldserve on committee A?
Choices:
V and T
U and S
O and P
T and U
Answer: C
Question: What percent is 350 gm of 1 kg?
Choices:
40%
35%
8%
12%
Answer: B
Question: If in a certain sequence of consecutive multiples of 100, the median is 650, and the greatest term is 1000, how many terms that are smaller than 650 are there in the sequence?
Choices:
4
8
12
13
Answer: A
Question: Three bodies D, E and F start moving around a circular track of length 240m from the same point simultaneously in the same direction at speeds of 6 m/s, 10 m/s and 18 m/s respectively. When will they meet for the first time after they started moving?
Choices:
60 seconds
30 seconds
20 seconds
50 seconds
Answer: A
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 7 kmph, then the speed of the boat in still water is :
Choices:
4.5 km/hr
5 km/hr
10.5 km/hr
None of these
Answer: A
Question: A trader sells 80 meters of cloth for Rs. 9000 at the profit of Rs. 23.5 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
89
90
78
80
Answer: A
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:
10.36
10.3
10.33
10.31
Answer: B
Question: 55 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
Choices:
88 m
120 m
70 m
None
Answer: C
Question: What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
Choices:
1683
1773
1650
1760
Answer: A
Question: Solve 2x – 5 = 1
Choices:
2
3
4
5
Answer: B
Question: A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?
Choices:
431
391
381
481
Answer: B
Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 40 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Choices:
220
240
247
294
Answer: D
Question: The guidelines at a certain college specify that for the introductory English class, the professor may choose one of six specified novels, and choose two plays from a list of 5 specified plays. Thus, the reading list for this introductory class has one novel and two plays. How many different reading lists could a professor create within these parameters?
Choices:
55
60
65
70
Answer: B
Question: One hour before John started walking from P to Q, a distance of 33 miles, Ann had started walking along the same road from Q to P. Ann walked at a constant speed of 3 miles per hour and John at 2 miles per hour. How many miles had Ann walked when they met?
Choices:
8,4 miles
9 miles
9,6 miles
21 miles
Answer: D
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
Choices:
5464
3456
7554
3158
Answer: D
Question: A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 55 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Choices:
B.115
C.48
D.46
E.44
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 894 in 4 years. The sum is:
Choices:
s. 690
s. 698
s. 700
s. 578
Answer: D
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
8m
3m
2m
4m
Answer: C
Question: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 23 inches, how many inches of framing material does the carpenter need to frame the painting?
Choices:
22 1/2
37 1/2
50
29
Answer: D
Question: The perimeter of a triangle is 22 cm and the inradius of the triangle is 3.5 cm. What is the area of the triangle?
Choices:
35
77
54
38
Answer: D
Question: A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 70% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
Choices:
1.3 lakh
1.9 lakh
8.1 lakh
6.1 lakh
Answer: A
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 12% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Choices:
43°
18°
36°
52°
Answer: A
Question: Calculate the percentage gain if a trader bought a bicycle for Rs.640 and sold it for Rs.720?
Choices:
11.5%
15.5%
12.5%
18.5%
Answer: C
Question: Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Choices:
2:3
3:4
3:5
4:5
Answer: A
Question: A tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 9 cubic inches/min and 8 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)
Choices:
2340
3240
4320
5420
Answer: C
Question: A square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8cm and breadth 4cm. What is the perimeter of the newly formed rectangle?
Choices:
20
40
60
80
Answer: B
Question: If X = 2 + 1/(1+1/(1-1/2))then the value of 2x+7/3?
Choices:
10 1/3
7
11 2/3
12
Answer: B
Question: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 80 percent was planted with barley and 10 percent of the cleared land was planted with potato. If the remaining 90 acres of cleared land was planted with tomato, how many acres did the farmer own?
Choices:
950
1025
975
1000
Answer: D
Question: In a 5 digit ID number, what is the probability of exactly three digits are the digit 0?
Choices:
9/2500
11/9800
13/2500
14/2751
Answer: A
Question: There are 9 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
Choices:
70
72
71
76
Answer: B
Question: The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 524 different signs. If the company used 522 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 524 signs?
Choices:
248
2092
15,128
30,256
Answer: B
Question: The mean of 50 observations was 40. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
Choices:
40.46
36.5
39.1
None
Answer: A
Question: A baker filled with a measuring cup with 1/3 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
11/24 cup
1/2 cup
7/8 cup
Answer: B
Question: Excluding stoppages, the speed of a train is 30 kmph and including stoppages it is 21 kmph. Of how many minutes does the train stop per hour?
Choices:
17
12
15
18
Answer: D
Question: A certain taxi company charges $2.80 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
Choices:
16.0
18.4
18.7
19.1
Answer: B
Question: What is the least possible value that can be subtracted from 2^586 so that the result is a multiple of 7?
Choices:
2
5
7
11
Answer: A
Question: In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 30, what will be his grade at the end of the third year?
Choices:
56
64
75
80
Answer: B
Question: A student is to take her final exams in two subjects. The probability that she will pass the first subject is 3/4 and the probability that she will pass the second subject is 2/3. What is the probability that she will pass one exam or the other exam?
Choices:
5/12
7/12
5/7
11/12
Answer: A
Question: In 1995, the Johny spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johny cut back their water usage. By how much must the Johny have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?
Choices:
a)	33 1/3 %
c) 50 %
d)	66 2/3 %
e)	100 %
Answer: A
Question: How many pages the book have, if total 309 digits are used to form the page numbers?
Choices:
136 pages
137 pages
138 pages
139 pages
Answer: D
Question: Pipes A can fill a tank in 5 hours and Pipe B can fill it in 6 hours . If the two pipes are opened together, then the tank will be filled in:
Choices:
2 8/11 hours.
2 3/11 hours.
5 2/11 hours.
4 3/11 hours.
Answer: A
Question: If M is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT
Choices:
M is divisible by 8
The average of w, x, y, and z is odd
M is divisible by 4
w + x + 8 = y + z
Answer: A
Question: The population of a town increased from 1,24,300 to 1,62,400 in a decade. The average percent increase of population per year is:
Choices:
4%
2.3%
3.75%
None
Answer: B
Question: if log 4 = 0.60205, the number of digits in 4128 is
Choices:
39
78
28
11
Answer: B
Question: What is the place value of 3 in the numeral 3259
Choices:
2900
2970
3000
3500
Answer: C
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A
man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns
Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
175
180
195
200
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 8 sec to pass a telegraph post, then the length of the train is?
Choices:
168 m
120 m
160 m
178 m
Answer: C
Question: Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 45 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
Choices:
5
6
16
9
Answer: D
Question: Fill in the missing number:
18 ? 12 11 10.5 10.25
Choices:
10.4
10.2
14
10.3
Answer: C
Question: Find the length ofa rectangle is decreased by 40cm & the width is increased by 5cm, a square with the same area asthe original rectangle result. Find the perimeter ofthe original rectangle?
Choices:
40 cm
50 cm
60 cm
70 cm
Answer: B
Question: A man can row a boat at 26 kmph in still water. If the speed of the stream is 12 kmph, what is the time taken to row a distance of 66 km downstream?
Choices:
33/19 hours
34/15 hours
36/13 hours
30/13 hours
Answer: A
Question: The ratio of the volumes of two cubes is 1728 : 1331. What is the ratio of their total surface areas?
Choices:
144 : 121
144 : 191
181 : 161
81 : 182
Answer: A
Question: How many 4-digit numerals begin with a digit that represents a prime and end with a digit that represents a prime number?
Choices:
1600
160
180
240
Answer: A
Question: The arithmetic mean of the 13 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 6?
Choices:
22 + a
2s
2a + 2
a
Answer: D
Question: When the positive integer g is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer h is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of g-h?
Choices:
24
35
16
30
Answer: B
Question: A boat travels for three hours with a current of 3 mph and then returns the same distance against the current in four hours. What is the boat's speed in calm water? How far did the boat travel one way?
Choices:
2.14
3.14
5.14
7.14
Answer: C
Question: The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is?
Choices:
13%
15%
14%
18%
Answer: B
Question: In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
11
12
15
14
Answer: A
Question: On a purchase of $130, a store offered a payment plan consisting of a $30 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
Choices:
24.5%
23.1%
25.5%
26.5%
Answer: B
Question: A straight fence is to be constructed from posts 3 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following couldnotbe the length of the fence in feet? (12 inches = 1 foot)
Choices:
28
34
39
50
Answer: B
Question: Which of the following cannot be the range of a set consisting of 5 odd multiples of 7?
Choices:
112
224
448
425
Answer: D
Question: Find the area of circle whose diameter is 8 m.
Choices:
50.04 square meter
50.28 square meter
50.24 square meter
50.43 square meter
Answer: B
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 10 pumps work to empty the tank in 1 day?
Choices:
4.8
1.1
1.2
1.3
Answer: A
Question: In how many ways can the letters of the word RECPECT be arranged?
Choices:
1643
2520
2856
3977
Answer: B
Question: The sale price sarees listed for Rs.345 after successive discount is 12% and 25% is?
Choices:
276
342
228
245
Answer: C
Question: If taxi fares were $1.00 for the first 1/5 mile and $0.50 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
Choices:
$2.40
$3.80
$4.20
$8.00
Answer: D
Question: P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?
Choices:
5
4
6
3
Answer: C
Question: A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is ?
Choices:
26%
27%
28%
29%
Answer: C
Question: A computer wholesaler sells nine different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
Choices:
3/28
1/12
1/56
1/168
Answer: B
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choices:
30
35
40
55
Answer: C
Question: If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?
Choices:
1200
1800
none of these
1900
Answer: B
Question: At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?
Choices:
6%
7%
7.5%
8%
Answer: A
Question: Calculate the circumference of a circular field whose radius is 6 centimeters.
Choices:
1 π cm
15 π cm
12 π cm
19 π cm
Answer: C
Question: A certain list of 240 test scores has an average (arithmetic mean) of 85 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 242 test scores with a standard deviation less than d ?
Choices:
80 and 85
80 and 90
85 and 86
85 and 90
Answer: C
Question: x, 17, 3x - y2 - 2 and 3x + y2 - 30 are four consecutive terms of an increasing arithmetic sequence. The sum of the four numbers is divisible by:
Choices:
2
5
7
11
Answer: A
Question: If d and y are integers, then dy(d + y) is
Choices:
Always negative
Positive when d is positive
Negative when d is negative
It cannot be determined by the information given
Answer: D
Question: The market value of a certain machine decreased by 20 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
Choices:
$5,600
$3,200
$2,400
$4,800
Answer: D
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
8000
6000
5000
4000
Answer: A
Question: The ratio of three numbers is 1:2:3 and the sum of their squares is 2016. The sum of the numbers is?
Choices:
B)12
C)15
D)14
E)9
Answer: A
Question: A and B start a business jointly. A invests Rs.16000 for 5 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
A)Rs.8000
C)Rs.12293
D)Rs.12804
E)Rs.12830
Answer: A
Question: A box contains ten bulbs out of which 6 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
Choices:
1/210
1/128
1/198
1/126
Answer: A
Question: If paint costs $3.10 per quart, and a quart covers 20 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
Choices:
$ 16.00
$ 93.00
$108.00
$196.00
Answer: B
Question: The sum of the ages of 4 children born at the intervals of 4 years each is 36 years. what is the age of the youngest child ?
Choices:
3
10
99
38
Answer: A
Question: Find the compound interest on $1200 for 2 years at 20% p.a. if CI is component yearly?
Choices:
$150
$548
$250
$300
Answer: B
Question: What is the missing number of the following sequence.
3 48,?,24,30,12,90
Choices:
10
33
61
16
Answer: A
Question: Last year Carlos saved 10 percent of his annual earnings. This year he earned 5 percent more than last year and he saved 12 percent of his annual earnings. The amount saved this year was what percent of the amount saved last year?
Choices:
124%
126%
128%
130%
Answer: B
Question: The smallest number which when diminished by 15, is divisible 10, 15, 25, 30 and 35 is:
Choices:
1055
1022
1032
1048
Answer: A
Question: Synthia can buy watches at a price of Z dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of X by selling Y watches, then in terms of Z and X and Y, what is the percent of the markup from her buy price to her sell price?
Choices:
100X-(YZ)
100X+(YZ)
100X*(YZ)
100X/(YZ)
Answer: D
Question: The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?
Choices:
77 m3
60 m3
27 m3
29 m3
Answer: B
Question: The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle?
Choices:
40 cm
28 cm
10 cm
11 cm
Answer: A
Question: If x/5 - 6/x = 1/5, what are the values of 3x - 7?
Choices:
-22 and 11
17 and 21
12 and 29
17 and 29
Answer: A
Question: A man sells a car to his friend at 14% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
Choices:
Rs.32325.58
Rs.52325.58
Rs.62325.58
None of these
Answer: B
Question: The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 4 years is
Choices:
s.6921
s.9724
s.6261
s.6361
Answer: B
Question: What is the least value of x. So that 22x57 is divisible by 3.
Choices:
2
1
3
4
Answer: A
Question: A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Choices:
36 kmph
21 kmph
17 kmph
19 kmph
Answer: A
Question: How many positive integers n have the property that when 1,000,063 is divided by n, the
remainder is 63?
Choices:
37
39
49
79
Answer: A
Question: A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Choices:
77 days
30 days
88 days
17 days
Answer: B
Question: What is the probability that when a hand o f 6 cards is drawn from a well shuffled deck of 52 cards, It contains 2 Queen?
Choices:
113/22434
29187by1017926
1017926/29187
None of these
Answer: B
Question: What is the probability P of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
Choices:
1/20
1/26
1/50
1/100
Answer: B
Question: Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.18750 then A's share is (in Rs.)
Choices:
6500
5000
7500
8500
Answer: B
Question: This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 7 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 7 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?
Choices:
9C7
9C9
9C6
69
Answer: A
Question: If a Ã— b = 2a - 3b + ab, then 1 Ã— 2 + 2 Ã— 1 is equal to :
Choices:
1
3
4
5
Answer: A
Question: Ratio of present age of P and Q is 7 : 3. After four years their ages are in the ratio of 2 : 1. What is the present age of P ?
Choices:
28 years
32 years
Data inadequate
None of these
Answer: A
Question: If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 4n years to that after 2n years?
Choices:
(1+k/100)^2n
(1+kn/100)
(1+n/100)^k
(1+kn)
Answer: A
Question: Which of the following inequalities is represented by the following number line?
–7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7
Choices:
–5 ≤ x < 5
–5 < x ≤ 5
|x| < 5
5 ≤ |x|
Answer: A
Question: The largest number in a series of consecutive even integers is w. If the number of integers is n, what is the smallest number in terms of w and n?
Choices:
w–n + 1
w– 2(n– 1)
n– 6 + w
w – n/2
Answer: B
Question: 8 books are to be arranged in a shelf. Among these, 3 are copies of the same Math book, 3 are copies of the same Physics book and the remaining are copies of the same Chemistry book. How many different arrangements can be created?
Choices:
8!/{3!3!2!2!}
8!/{3!^2}
8!/{(2!)(3!^2)}
8!/{2!^3}
Answer: C
Question: In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 80 and a standard deviation of 14, which of the following is exactly 2.60 standard deviations more than the mean?
Choices:
a) 43.6
c) 72
d) 77.5
e) 81
Answer: A
Question: If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 12 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
Choices:
16
18
30
174
Answer: B
Question: If x is the median of the set {x, 11/3, 28/9, 21/5, 9/2}, x could be
Choices:
17/5
30/7
4
31/7
Answer: C
Question: If e>0.9, which of the following options can be the value of e?
Choices:
√(0.9)
0.09
0.9
0.9^3
Answer: A
Question: If 25/999=0.002, what is the 81st digit to the right of the decimal point in the decimal equivalent of the fraction?
Choices:
5
4
3
2
Answer: D
Question: A man sells an article at 10% gain. Had be sold at for Rs.60/- more he could have gained 20% what is cost price of article
Choices:
Rs.600
Rs.650
Rs.760
Rs.800
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.550, find the loss percent?
Choices:
8 1/3%
19 2/3%
16 2/3%
16 8/3%
Answer: A
Question: The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is?
Choices:
126
111
727
121
Answer: B
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time E will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
Choices:
two minutes.
44 seconds.
20 seconds.
12 seconds.
Answer: C
Question: Denise is trying to open a safe whose combination she does not know. IF the safe has 5000 possible combinations,and she can try 50 different possibilities,what is the probability that she does not pick the one correct combination.
Choices:
159/160
157/160
3/160
0.99
Answer: D
Question: Venki takes a trip and drives 5 hours from Town X to Town Z at a rate of 80 miles per hour. On her way back, Venki drives 45 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Venki to drive from Town Z to Town Y?
Choices:
4.44
11.5
1.75
2.14
Answer: A
Question: A Raz's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
Choices:
1:2
1:1
3:2
5:3
Answer: A
Question: what is the smallest integer that is multiple of 5,7 and 20
Choices:
180
130
122
140
Answer: D
Question: The sum of four consecutive numbers is 102. The greatest among these three number is:
Choices:
28
29
30
27
Answer: D
Question: When positive integer F is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when F is divided by B?
Choices:
14
15
16
17
Answer: A
Question: (0.82)(power 3) - (0.1)(power 3)/ (0.82)(power 2) + 0.082 + (0.1)(power 2) is:
Choices:
0.68
0.96
0.69
0.72
Answer: D
Question: How many three digit numbers C greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
Choices:
72
120
96
76
Answer: A
Question: AB
+BA
___
181
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B?
Choices:
8
9
11
14
Answer: D
Question: In a group of donkeys and pigs, the numbers of legs are 16 more than twice the number of heads. The number of donkeys is
Choices:
8
11
12
13
Answer: A
Question: An express A starts at 2.30 pm from nampali station and travels towards vizag station at speed of 80 kmph. Another expressstarts at 4.30 pmfrom nampali station to vizag station at speed of 100 kmph. How far awayfrom station Nampali will the two trains meet??
Choices:
700 km
750 km
800 km
900 km
Answer: C