antoine-444/aqua_rat_dataset huggingface dataset:
Question: In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
Choices:
16
15
14
9
Answer: B
Question: A fair coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than four times?
Choices:
56/256
65/256
70/256
93/256
Answer: D
Question: An empty fuel tank is filled with brand Z gasoline. When the tank is 3/4 empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent of the gasoline in the tank is brand Z?
Choices:
41%
43.75%
42%
44%
Answer: B
Question: By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Choices:
116.68
116.69
116.66
116.62
Answer: C
Question: Three years ago the average age of A and B was 18 years. with c joining them ,the average age become 22 years.how old is c?
Choices:
31
24
22
27
Answer: B
Question: 9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 42 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?
Choices:
6
8
12
14
Answer: A
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
Choices:
55 sec
45 sec
30 sec
35 sec
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 1600. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
86.98%
76.99%
45%
None of these
Answer: B
Question: A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 6.5 hours, then the distance covered at 40 kmph is
Choices:
120km
100km
280km
none of these
Answer: C
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
Choices:
12
77
66
73
Answer: A
Question: Walking at the rate of 4kmph a man cover certain distance in 2hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.
Choices:
25 min
40 min
48 min
58 min
Answer: B
Question: Sam invested Rs. 5000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Choices:
320.0
220.5
100.1
230.2
Answer: B
Question: A circular mat with diameter 12 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
2/5
1/5
3/4
5/6
Answer: B
Question: A student got twice as many sums wrong as he got right. If he attempted 54 sums in all, how many did he solve correctly ?
Choices:
16
18
24
26
Answer: B
Question: A female student must answer 7 out of 10 questions on an examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 7 questions are available to the student?
Choices:
120
140
110
150
Answer: C
Question: In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is five years older than Ellen, how old is Aaron?
Choices:
0.5–5
11–15
16–20
21–25
Answer: A
Question: If x = √11 + √20, y = √15 + √17 and z = √14 + √18, then which of the following holds true?
Choices:
Y< z < x
y < x < z
x < z < y
None of these
Answer: C
Question: a metallic cuboid of dimensions 27x18x12 m is melted.find the minimum amount of the volume of molten metal which should be added to mould it into a cube whose edge is 'a' cm where a is an integer.
Choices:
17 m
18 m
19 m
15 m
Answer: B
Question: Gasoline varies in cost from $0.95 to $1.15 per gallon. If a car’s mileage varies from 16 to 24 miles per gallon, what is the difference between the most and least that the gasoline for a 480-mile trip will cost?
Choices:
$15.50
$16.10
$16.50
$17.01
Answer: A
Question: Mitchell took a box of pushpins and counted how many there were of each colour. There was 1 red pushpin, 5 blue pushpins, and 2 yellow pushpins. How many pushpins were there in all?
Choices:
04
03
05
08
Answer: D
Question: Robert spent $120 in buying raw materials, $195 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Choices:
B)$210
C)$350
D)$160
E)$200
Answer: B
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 115. If the ratio of his marks in English and Maths is 5:1, find his marks in Science?
Choices:
77
25
55
31
Answer: B
Question: In an election, candidate A got 85% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate.
Choices:
340000
347000
356000
404600
Answer: D
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 26 m * 2 m * 0.75 m?
Choices:
27908
78902
26000
27991
Answer: C
Question: Helen went to the stationers and bought things worth Euro 23, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
uro 15.70
uro 13.70
uro 18.70
uro 17.70
Answer: D
Question: In the coordinate plane, the points F (-1,1), G (1,2), and H (2,1) lie on a circle with center P. What are the coordinates of point P ?
Choices:
(0.5,0.5)
(1,2)
(1,-2)
(2.5, -2.5)
Answer: A
Question: How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
Choices:
450
300
1200
600
Answer: C
Question: The market value of a certain machine decreased by 15 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
$4,400
$800
Answer: A
Question: The water level in a rectangular swimming pool measuring 60 feet by 10 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
Choices:
2250
750
1200
5625
Answer: A
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the
mixture must be drawn off and replaced with water so that the mixture may be half water and half
syrup?
Choices:
14
15
16
17
Answer: B
Question: If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability W that a number picked up in first 90 positive integers will have the result of # as an odd digit ?
Choices:
(b) 4/9
(c) 1/2
(d) 6/10
(e) 5/9
Answer: D
Question: Suresh borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next two years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?
Choices:
s.6000
s.10880
s.9000
s.7000
Answer: B
Question: a three digit number, sum of the digit is 17, the sum of square of digits is 109, if it is subtracted wit 495 the number gets reversed, find the three digit number.
Choices:
863
368
686
786
Answer: A
Question: Mohan purchased 12 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choices:
B)Rs.594
C)Rs.596
D)Rs.595
E)Rs.520
Answer: D
Question: A can do a piece of work in 5 days and B can do it in 6 days how long will they both work together to complete the work?
Choices:
2 8/11
2 7/11
2 9/11
2 10/11
Answer: A
Question: What is the sum of the numbers between 1 and 20, inclusive?
Choices:
200
215
285
210
Answer: D
Question: The length of the shorter side of a rectangle is 2 units. The length of each
diagonal is 4 units. What is the acute angle between the diagonals?
Choices:
22.5o
45o
60o
75o
Answer: C
Question: Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?
Choices:
180
120
220
140
Answer: D
Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $250 ?
Choices:
$2
$3
$4
$5
Answer: A
Question: A watch was sold at a loss of 10%. If the watch was sold for $24 more, there would have been a gain of 6%. What is the cost price?
Choices:
$150
$180
$210
$240
Answer: A
Question: What is the absolute value of twice the difference of the roots of the equation D=5y^2 − 20y + 15 = 0 ?
Choices:
1
2
3
4
Answer: D
Question: If (2x + 2)(x + 3) = 2x^2 + x, what is a possible value of x?
Choices:
-6/7
-5/7
8/7
6/8
Answer: A
Question: The water from one outlet, flowing at a constant rate, can fill a swimming pool in 12 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 8 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
Choices:
0.31
2.50
3.21
4.8
Answer: D
Question: If (2a + 3b)/(5a - 3b) = 23/5 , then the value of b : a is ?
Choices:
1 : 4
4 : 5
5 : 4
1 : 2
Answer: C
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
5 sec
6 ½ sec
7 ½ sec
5 ½ sec
Answer: C
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 14000, then find his savings?
Choices:
2800
3608
3602
3603
Answer: A
Question: In how many ways can the letters of the word ARRANGED be arranged in a row so that the vowels appear in alphabetic order?
Choices:
6720
6240
5202
4020
Answer: A
Question: Two numbers are respectively 71% and 80% more than a third number. The percentage that is first of the second is?
Choices:
5%
6%
7%
8%
Answer: A
Question: A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be
Choices:
7744
5544
4444
3444
Answer: A
Question: Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 1/3 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
Choices:
1/2
4/13
8/29
6/33
Answer: A
Question: What is the area of a square field whose diagonal of length 40 m?
Choices:
269
750
200
800
Answer: D
Question: A circular mat with radius 10 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
2/5
0.5451
3/4
5/6
Answer: B
Question: A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Choices:
3.75 days
3.25 days
3.15 days
2.75 days
Answer: A
Question: In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 128 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
112
210
Answer: C
Question: Excluding stoppages, the speed of a bus is 82 kmph and including stoppages, it is 75 kmph. For how many minutes does the bus stop per hour?
Choices:
5.12
6.15
7.5
None of these
Answer: A
Question: A man can row his boat with the stream at 26 km/h and against the stream in 12 km/h. The man's rate is?
Choices:
4 kmph
5 kmph
7 kmph
8 kmph
Answer: C
Question: A car takes 6 hours to cover a distance of 504 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
50 Kmph
52 Kmph
56 Kmph
60 Kmph
Answer: C
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 4 cm. What is the length of the wire?
Choices:
144 cm
168 cm
173 cm
189 cm
Answer: A
Question: A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 40 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
Choices:
2
1
6
5
Answer: A
Question: Given positive even integer y, which of the following CAN be evenly divisible by y?
Choices:
2y - 2
2y + 1
3y - 1
y + 1⁄2
Answer: A
Question: Given that there are 6 basketball players per team, how many ways can you select 2 basketball players from 3 teams if no more than one player can be selected from each team?
Choices:
30
60
108
90
Answer: C
Question: A and B together can do a piece of work in 6 days and A alone can do it in 14 days. In how many days can B alone can do it?
Choices:
15 days
21/2 days
21 days
22 days
Answer: B
Question: A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is 0, what is the value of x?
Choices:
-4 and 0
2
4
Cannot be determined.
Answer: A
Question: Working individually, Amy can hang picture frames for 5 hours and John can hang picture frames in 4 hours. If Amy and John work together but independently at the task for 1 hour, at which point John leaves, how many remaining hours will it take Amy to complete the task alone?
Choices:
55/20
5/2
30/10
3/22
Answer: A
Question: In a games hour 4 different types of players came to the ground? cricket 16, hokey 12, football 18, softball 13. How many players are present in the ground?
Choices:
52
62
59
50
Answer: C
Question: If P is a prime number greater than 3, find the remainder when P^2 + 16 is divided by 12.
Choices:
5
0
8
7
Answer: A
Question: A meal cost $ 32.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:
Choices:
39-41
38-40
37-39
36-37
Answer: D
Question: x and y are integers. a+ b< 11 , and a> 6. What is the smallest possible value of a- b?
Choices:
2
4
-2
-4
Answer: B
Question: Today Joelle opened an interest-bearing savings account and deposited $5,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
Choices:
$7512.50
$5512.50
$4512.50
$5250.00
Answer: B
Question: One train is traveling 36 kmph and other is at 15 meters a second. Ratio of the speed of the two trains is?
Choices:
5:6
5:0
2:3
5:1
Answer: C
Question: How many pairs (r, r+1) have one or more prime factors common, where r is an integer and 2 ≤ r ≤9 ?
Choices:
0
2
3
4
Answer: A
Question: A juice manufacturer organized taste-testing sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshly-squeezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 60 chose brand C. Which of the following could be the number of customers who preferred brand D?
Choices:
8
18
20
27
Answer: B
Question: The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
13√2
13√9
13√1
13√5
Answer: A
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
Choices:
1788 sq m
4312 sq m
7656 sq m
1786 sq m
Answer: B
Question: P is 40% more efficient than Q. P can complete a work in 24 days. If P and Q work together, how many days will it take to complete the same work?
Choices:
9
11
14
15
Answer: C
Question: The average of five consecutive odd numbers A, B, C, D and E is 33. What percent of A is D ?
Choices:
88.6
89.2
90.1
92.2
Answer: A
Question: Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 40 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take?
Choices:
50
70
80
90
Answer: B
Question: A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
Choices:
25 days
21 days
26 days
29 days
Answer: B
Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:
Choices:
50
40
20
10
Answer: B
Question: Present ages of X and Y are in the ratio 5:6 respectively. Ten years hence this ratio will become 6:7 respectively. What is X's present age in years?
Choices:
36
50
39
40
Answer: B
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 250 km of the tour is:
Choices:
55.55 km/hr
71.11 km/hr
36 km/hr
71 km/hr
Answer: A
Question: A man rows his boat 75 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
6
5
8
9
Answer: A
Question: The average of six numbers is 3.85. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choices:
4.3
4.2
4.1
4.9
Answer: A
Question: A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/4 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?
Choices:
7/20
11/20
13/20
17/20
Answer: A
Question: What will be remainder when (67^67 + 67) is divided by 68 ?
Choices:
9
87
66
12
Answer: C
Question: In how many ways can the letters of the english alphabet be arranged so that there are seven letter between the letters A and B, and no letter is repeated
Choices:
24P7 * 2 * 18!
24P7 * 2 * 16!
24P7 * 2 * 13!
24P7 * 2 * 12!
Answer: A
Question: A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
108 Kmph
72 Kmph
34 Kmph
91 Kmph
Answer: A
Question: The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 1 year is
Choices:
s.6921
s.8400
s.6261
s.6361
Answer: B
Question: The equation (M )/42 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?
Choices:
P-7
(P-7)*2
(P-7)62
P-5
Answer: B
Question: If 2^5, 4^3, and 13^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
Choices:
39
42
208
156
Answer: C
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:
25
27
22
91
Answer: C
Question: If 9/(5 + 3/x) = 1, then x =
Choices:
1
3/4
-1/3
-3
Answer: B
Question: In how many ways can the integer 15 be expressed as a product of two different positive integers?
Choices:
8
5
4
2
Answer: D
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 62 with him, what was the average amount with the group before his joining the group?
Choices:
s.13
s.15
s.22
s.14
Answer: A
Question: A train , 800 meter long is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel (in meters)?
Choices:
500 m
260 m
430 m
450 m
Answer: A
Question: The diagonals of two squares are in the ratio of 3:7 then find the ratio of its areas?
Choices:
6:46
9:49
8:68
6:61
Answer: B
Question: The volume of a cube is 2197 cc. Find its surface.
Choices:
1014
1299
1268
1191
Answer: A
Question: 2, 4, 3, 6, ?, ?, 9, 18, ?, ?, 33.
Choices:
16,32
15,30
15,32
15,31
Answer: A
Question: An error 4% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Choices:
5.16
7.16
8.16
9.16
Answer: C
Question: If k^3 is divisible by 1620, what is the least possible value of integer k?
Choices:
30
60
90
120
Answer: C
Question: What is the sum of the greatest common factor and the lowest common multiple of 48 and 72?
Choices:
120
168
160
184
Answer: B
Question: 40 % of 2 is equal to
Choices:
0.8
0.6
0.7
0.9
Answer: A
Question: What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x
Choices:
73205
73789
87654
98555
Answer: A
Question: 0.8 x 0.35=?
Choices:
0.000315
0.28
0.028
0.0028
Answer: B
Question: In a class, there are 24 boys whose ages is decreased by 4 months, when one boy aged 20 years is replaced by a new boy. Find the age of the new boy.
Choices:
10 YEARS
12 YEARS
14 YEARS
15 YEARS
Answer: B
Question: Acording to a military code, SYSTEM is SYSMET and NEARER is AENRER. What is the code for FRACTION ?
Choices:
CARFTION
ARFCNOIT
CARFNOIT
SUIIQQWE
Answer: C
Question: The price of pulses has fallen by 30%. How many quintals can be bought for the same amount which was sufficient to buy 12 quintals at the higher price?
Choices:
22.5
17
30
32.5
Answer: B
Question: A dog takes 3 leaps for every 7 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Choices:
9:7
9:6
9:1
9:2
Answer: A
Question: Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
Choices:
5500
5520
5521
5192
Answer: A
Question: A juice manufacturer organized taste-testing sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshly-squeezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 45 chose brand C. Which of the following could be the number of customers who preferred brand D?
Choices:
8
14
20
27
Answer: B
Question: If John has earned 350 dollars by working 2 hrs/day a week at a constant daily rate for 5 weeks, which of the following represents his daily wage?
Choices:
2
5
4
3
Answer: B
Question: In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 545. What is the sum of the last 5 integers in the sequence?
Choices:
580
575
570
565
Answer: C
Question: In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 3) lies inside the circle and the point (6,-3) lies outside the circle. If the radius r of the circle r is an integer then r=
Choices:
5
4
7
2
Answer: C
Question: If the sides of a triangle are 4 cm, 9 cm and 13 cm, what is its area?
Choices:
18
22
26
28
Answer: A
Question: A cube has five of its faces painted half red and half white. The other face is completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube?
Choices:
2:5
3:4
5:7
2:3
Answer: C
Question: The smallest value of n, for which n+2 is not a prime number, is
Choices:
4,6
2,4
8,12
9,6
Answer: B
Question: The average age of 40 students in a class is 10years. If teacher's age is also included then average increases 1year then find the teacher's age?
Choices:
55
61
51
36
Answer: C
Question: Sequence Q consists of 16 consecutive integers. If -6 is the least integer in sequence Q, what is the range of the positive integers in sequence Q?
Choices:
15
9
8
7
Answer: C
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
Choices:
12
11
16
18
Answer: A
Question: How many digits 2^400 has?
Choices:
35
50
99
121
Answer: D
Question: The reciprocal of the hcf and lcm of two are 1/14 and 1/312 .if one of the number is 24 then other no. is
Choices:
136
146
156
182
Answer: D
Question: On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
Choices:
2 : 6
2 : 1
3 : 7
4 : 9
Answer: B
Question: A does a work in 10 days and B does the same work in 15 days. In how many days they together will
do the same work ?
Choices:
6 days
7 days
8 days
None of these
Answer: A
Question: If xy not equal 0 and x^2*y^2 -xy =30, which of the following could be y in terms of x?
I. 1/2x
II. -6/x
III. 5/x
Choices:
II
II and III
IV
III
Answer: B
Question: An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.22932/- in 3 years at the same rate of interest. Find the rate percentage?
Choices:
7%
9%
11%
30%
Answer: D
Question: A goods train runs at a speed of 72 kmph and crosses a 290 m long platform in 26 seconds.What is the length of the goods train?
Choices:
230 m
260 m
270 m
250 m
Answer: A
Question: How many numbers are there between 100 and 1000 such that at least one of their digits is 6?
Choices:
252
900
1000
None of these
Answer: A
Question: Nancy obtained 66, 75, 52, 68 and 89 marks (out of 100) in American Literature, History, Home Economics, Physical Education and Art. Calculate her average marks ?
Choices:
80
70
60
71
Answer: B
Question: The jogging track in a sports complex is 726 m in circumference. Suresh and his wife start from the same point and walk in opposite direction at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in:
Choices:
6 min.
4.9 min.
5.28 min.
5 min.
Answer: C
Question: Rs.100 amounts to Rs.320 in 4 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choices:
650
110
240
360
Answer: B
Question: A circular ground whose diameter is 40 metres, has a garden of area 1100m^2around it. What is the wide of the path of the garden ?
Choices:
7.07
6.07
7.0
8.5
Answer: A
Question: what is rate of interest if principal.amount be 400,simple interest 140 and time 2year.
Choices:
17.5
25
12
14.5
Answer: A
Question: A prize of $400 is to be distributed among 20 winners, each of whom must be awarded at least $20. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award?
Choices:
$100
$280
$300
$360
Answer: A
Question: For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 6*+3 and 6*+6, inclusive ?
Choices:
0
2
3
4
Answer: A
Question: Two trains, each 120 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
72 km/hr
60 km/hr
77 km/hr
46 km/hr
Answer: A
Question: Three unbiased coins are tossed, what is the probability of geƫng at least 2 tails ?
Choices:
1/6
1/2
1/8
None of these
Answer: B
Question: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 20 households had a both a car and a bike and 44 had a car, how many had bike only?
Choices:
35
20
18
10
Answer: A
Question: Find the sum of the local value and absolute value of 4 in 564823
Choices:
4004
16000
12000
18000
Answer: A
Question: A team scored a total of 140 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
Choices:
B)7
C)8
D)9
E)10
Answer: D
Question: The length of the bridge, which a train 180 meters long and travelling at 48 km/hr can cross in 70 seconds, is:
Choices:
245
987
168
1981
Answer: A
Question: When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following Q is a possible value for x + y?
I. 18
II. 19
III. 20
Choices:
II only
Q=III only
II and III only
None
Answer: B
Question: Two heavily loaded sixteen-wheeler transport trucks are 1025 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
Choices:
130
150
320
145
Answer: D
Question: If x < 0 and 0 < y < 1, which of the following has the greatest value L?
Choices:
(xy)^2
(x/y)^2
x^2/y
x^2*y
Answer: B
Question: The current birth rate per thousand is 52, where as corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by?
Choices:
4.1%
3.9%
4%
5.1%
Answer: A
Question: Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 9 inches on a side and costs $10, and a large pizza that measures 14 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
Choices:
10 square inches
15 square inches
25 square inches
34 square inches
Answer: D
Question: There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that no two boys sit together?
Choices:
A)2*6!6!/12!
C)6!6!/12!
D)6!/12!
E)6!7!/12!
Answer: A
Question: A fill pipe can fill 1/4 of cistern in 16 minutes. In how many minutes, it can fill 3/4 of the cistern?
Choices:
30min
48min
26min
16min
Answer: B
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150 cm2
168 cm2
198 cm2
987 cm2
Answer: A
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
Choices:
76.3
86.3
16.3
36.3
Answer: C
Question: Calculate the HCF of 16, 108, 220
Choices:
5
4
1
2
Answer: B
Question: Each of the 39 points is placed either inside or on the surface of a perfect sphere. If 72% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
Choices:
11
13
14
38
Answer: C
Question: Sum of the digits number is 8 and their product is 12. Find the difference between the digits?
Choices:
4
3
7
2
Answer: A
Question: If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 25?
Choices:
187
191
201
311
Answer: D
Question: The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
279
255
288
211
Answer: B
Question: If Aaron is now twice as old as Bailey was 5 years ago, and B is Bailey's current age in years, which of the following represents the sum of Aaron and Bailey's ages 4 years from now?
Choices:
3B-1
3B-21
3B-11
3B-2
Answer: D
Question: Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.
Choices:
1394
1194
1094
None of them
Answer: A
Question: present ages of sameer and anand are in the ratio of 5:4 respectively. three years hence, the ratio of their ages will become 11:9 respectively . what anand's present age in years
Choices:
24
40
32
35
Answer: A
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 4 to 1, what is the ratio of US to British stamps?
Choices:
10 : 5
15 : 2
20 : 2
25 : 2
Answer: C
Question: A wooden cube whose edge length is 6 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?
Choices:
58.7%
62.5%
66.3%
70.4%
Answer: D
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 2 km each. Then they turned left and ran for another 1.5 km.
What is the distance (in kilometers) between the the two twins when they stop?
Choices:
5
9
11
13
Answer: A
Question: A wheel rotates 10 times every minute and moves 10 cm during each rotation. How many metres does
the wheel move in one hour?
Choices:
60 metre
1500 metre
1200 metre
2200 metre
Answer: A
Question: A person travels equal distances with speeds of 4km/hr, 8km/hr, 12km/hr. and takes a total time of 11 minutes. Find the total distance ?
Choices:
500mts
600mts
2km
1200mts
Answer: D
Question: If x > y^3 > z^4, which of the following statements could be true?
I. x>y>z
II. x>z
III.y=z
Choices:
I,II only
II only
I only
II,III only
Answer: A
Question: A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 206 customers. How many more new tables than original tables does the restaurant have?
Choices:
6
12
15
18
Answer: A
Question: what is the angle between the hands of a clock when time is 8:30?
Choices:
75deg
45deg
15deg
30deg
Answer: A
Question: If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
Choices:
16 2/3%
22 1/3%
15%
None of these
Answer: A
Question: In a camp,there is a meal for 120 men or 200 children.If 160 children have taken the meal,how many men will be catered to with the remaining meal ?
Choices:
24
40
50
60
Answer: A
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choices:
Rs.9261
Rs.9621
Rs.9162
Rs.9164
Answer: A
Question: If the perimeter and diagonal of a rectangle are 14 and 5 cms respectively, find its area.
Choices:
12 cm2
20 cm2
24 cm
None of these
Answer: A
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17 m
10 m
12 m
18 m
Answer: A
Question: An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent Q of the gasoline in the tank is brand Z?
Choices:
40%
37.5%
331⁄3%
25%
Answer: B
Question: If a, b are integers and |a-b|=14, which of the following is the smallest possible value of ab?
Choices:
0
16
7
-49
Answer: D
Question: The age of father 4 years ago was four times the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
42 : 17
44 : 19
44 : 17
44 : 21
Answer: C
Question: Mrs. Rodger got a weekly raise of $155. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$231
$156
$155
$200
Answer: C
Question: When 242 is divided by a certain divisor the remainder obtained is 12. When 698 is divided by the same divisor the remainder obtained is 16. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 10. What is the value of the divisor?
Choices:
18
13
23
None of these
Answer: A
Question: 10 women can complete a work in 5 days and 10 children take 10 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Choices:
5
7
8
2
Answer: A
Question: Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 1, she will stop rolling the cube. What is the probability that Molly will roll the die less than 3 times before stopping?
Choices:
125/216
25/216
11/216
27/128
Answer: C
Question: Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together ?
Choices:
120/11 min past 8
120/11 min past 5
120/11 min past 3
120/11 min past 2
Answer: A
Question: The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
13√2 cm
12 cm
6 cm
8 cm
Answer: A
Question: A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is
Choices:
7 hrs 49 min
7 hrs 45 min
7 hrs 15 min
6 hrs 45 min
Answer: B
Question: An advertising agency finds that, of its 105 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
Choices:
3
4
5
6
Answer: C
Question: In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 2% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?
Choices:
5 : 4
2 : 7
Data inadequate
None of these
Answer: B
Question: If the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline, by how much percent should he reduce the quantity of gasoline that he buys?
Choices:
8%
10%
12%
12.5%
Answer: A
Question: P and Q started a business investing Rs. 48,000 and Rs. 24,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
2:3
2:1
17:9
17:4
Answer: B
Question: If p and q are positive integers, which of the following can never be the greatest common divisor of 48p and 18q?
Choices:
48p
18q
6(p-q)
16q
Answer: D
Question: On a trip covering 850 km, a bicyclist travels the first 400 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
Choices:
16.5
17.0
17.5
18.0
Answer: B
Question: The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
76.5 kg
85 kg
90 kg
NOne
Answer: B
Question: A ladder 25m long reaches a window of building 20m above the ground. Then the distance of the foot of the ladder from the building is?
Choices:
45m
30m
15m
25m
Answer: C
Question: Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
Choices:
20
77
26
12
Answer: A
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 588, what was his profit?
Choices:
s. 69
s.108
s.75
s.90
Answer: B
Question: A rainstorm increased the amount of water stored in State J reservoirs from 180 billion gallons to 200 billion gallons. If the storm increased the amount of water in the reservoirs to 60 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Choices:
114
125
130
144
Answer: D
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. 29.16, the number of the member is the group is:
Choices:
54
77
87
97
Answer: A
Question: If 15% of 30% of 50% of a number is 90, then what is the number?
Choices:
4000
4400
4500
None of these
Answer: A
Question: There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and R. In how many ways can one travel from P to R?
Choices:
75
12
51
47
Answer: B
Question: The average (arithmetic mean) of four different positive integers is 4. If the first of these integers in 3 times the second integer and the second integer is 6 less than the third integer, what is the least possible value of the fourth integer?
Choices:
3
4
2
1
Answer: B
Question: A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio of students per class?
Choices:
3
6
8
12
Answer: A
Question: 6^5 + 6^5 + 6^5 + 6^5 =
Choices:
6^6
4^8
4^9
4^12
Answer: A
Question: On the first day of her vacation, Louisa traveled 240 miles. On the second day, traveling at the same average speed, she traveled 420 miles. If the 240-mile trip took 3 hours less than the 420-mile trip, what was the average speed, in miles per hour?
Choices:
50
55
60
58
Answer: C
Question: One hour after Adrienne started walking the 60 miles from X to Y, John started walking from X to Y as well. Adrienne walks 3 miles per hour and John walks 1 mile per hour faster than Adrienne. How far from X will John be when he catches up to Adrienne?
Choices:
12 miles
10 miles
11 miles
18 miles
Answer: A
Question: 5358 x 55 = ?
Choices:
272358
294690
274258
274358
Answer: B
Question: A student gets 50% in one subject, 60% in the other. To get an overall of 60% how much should get in third subject.
Choices:
70%
45%
55%
65%
Answer: A
Question: Dhoni has x dollars more than Rahul has, and together they have a total of y dollars. Which of the following represents the number of dollars that Rahul has?
Choices:
(y – x)/2
(y – x)/4
(2y – x)/2
(y – x)/5
Answer: A
Question: If the 9th day of a month is two days earlier than Monday, What day will it be on the nineteenth day of the month?
Choices:
Tuesday
Sunday
Wednesday
Friday
Answer: A
Question: x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median T of x, y, and z?
I. 9
II. 10
III. 11
Choices:
II only
III only
I and II only
I and III only
Answer: D
Question: If s and t are positive integers such that s/t = 64.24, which of the following could be the remainder when s is divided by t?
Choices:
20
25
30
35
Answer: C
Question: A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 4 hours. Working alone, the outlet pipe can empty out the tank in 8 hours. If it is desired that the tank should be filled, from empty, exactly 6 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ?
Choices:
10:30am
9:30am
10:00am
11:30am
Answer: D
Question: Set A: 3, q, 8, 10
Set B: 4, y, 9, 11
The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – q?
Choices:
-1
0
1
2
Answer: A
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 36 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
16 sec
19 sec
7.2 sec
13 sec
Answer: C
Question: $500 will become $1000 in 5 years find the rate of interest?
Choices:
20%
25%
30%
50%
Answer: A
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
11.6
11.4
11.5
11.2
Answer: C
Question: 9 men went to a restaurant for taking their snacks. Eight of them spent Rs.15 each on their snacks and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them.
Choices:
Rs116
Rs 144
Rs 178
Rs 168
Answer: B
Question: The sum of present age of Abe and the age before 7 years is 27. Find the present age of Abe. What will be his age after 7 years?
Choices:
24
27
28
29
Answer: A
Question: If 42.18 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
Choices:
6
8
9
10
Answer: A
Question: A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 90, how many horses are there ?
Choices:
12
14
16
18
Answer: D
Question: How many 5 digit number can be formed out of digits 0,2,4,6,8 that is divisible by 8.
Choices:
30
38
98
85
Answer: A
Question: The length, breadth and height of a room are in the ratio 9 : 4 : 2. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
Choices:
(b) decrease by 13.64%
(c) decrease by 15%
(d) decrease by 23.08%
(e) decrease by 30%
Answer: C
Question: A chair is bought for Rs.500/- and sold at a loss of 10% find its selling price
Choices:
Rs.450/-
Rs.440/-
Rs.455/-
Rs.445/-
Answer: A
Question: A person purchased a TV set for Rs. 13000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
87.82%
61.82%
17.82%
18.82%
Answer: B
Question: A cistern of capacity 40 litres has an inlet and an outlet pipe. When both the pipes are opened at once, it takes 8 minutes to fill the cistern. However, if the outflow rate is increased 1.5 times, the cistern never gets filled. Which of the following can be the outflow rate?
Choices:
6 litres/minute
12 litres/minute
9 litres/minute
10 litres/minute
Answer: B
Question: Of the 24 participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age?
Choices:
225
65
95
200
Answer: A
Question: The speed of a boat in still water is 30kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
kmph
kmph
kmph
kmph
Answer: A
Question: In how many different F ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
Choices:
288
576
10,080
20,160
Answer: B
Question: 16384, 8192, 2048, 256, 16, ?
Choices:
0.5
1.5
2
2.5
Answer: A
Question: George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 5% of the money for taxi fare and buys 25 mangoes. How many oranges can he buy?
Choices:
30
20
22.5
12
Answer: C
Question: A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is?
Choices:
29
17
10
16
Answer: B
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
Choices:
Rs. 10,500, Rs. 13,500, Rs. 16,500
Rs. 10,500, Rs. 13,500, Rs. 16,506
Rs. 10,500, Rs. 13,500, Rs. 16,588
Rs. 10,500, Rs. 13,500, Rs. 16,512
Answer: A
Question: If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
Choices:
10%
23%
25%
30%
Answer: A
Question: In a class, if 50% of the boys were girls, then there would be 50% more girls than boys. What percentage of the overall class is girls?
Choices:
33.33%
40%
20%
10%
Answer: C
Question: The ratio of two quantities is 2 to 5. If each of the quantities is increased by 8, what is the ratio of these two new quantities?
Choices:
5/8
7/13
22/25
It cannot be determined from the information given.
Answer: D
Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choices:
45 days
10 days
16 days
18 days
Answer: B