antoine-444/aqua_rat_dataset huggingface dataset:
Question: If |x – 9/2| = 5/2, and if y is the median of a set of t consecutive integers, where t is odd, which of the following must be true?
I. xyt is odd
II. xy(t^2 + t) is even
III. x^2y^2t^2 is even
Choices:
II only is true
I and III
II and III
I, II, and III
Answer: A
Question: The ratio of ages of two friends is 3:5 and sum of their ages is 80 years. What are their present ages in years?
Choices:
20,60
40,30
30,50
20,50
Answer: C
Question: The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 3 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 8
Tennis 7
Baseball 4
Choices:
9
11
13
17
Answer: C
Question: At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
Choices:
12 4/11 °
13 4/11°
16 4/11°
None
Answer: C
Question: If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 80 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
Choices:
120
140
150
160
Answer: D
Question: The diagonal of a cube is cm. Find its surface area
Choices:
216 sq.cm
416 sq.cm
516 sq.cm
None of these
Answer: A
Question: The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be maths teachers?
Choices:
1/3
2/9
1/24
1/12
Answer: D
Question: Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 40 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
Choices:
72
132
144
180
Answer: A
Question: A family pays $700 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
Choices:
$1,300
$1,400
$1,800
$2,200
Answer: A
Question: Betty took out a charge account at the General Store and agreed to pay 4% simple annual interest. If she charges $50 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
Choices:
$52.00
$52.50
$53.00
$53.50
Answer: A
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
4
9
8
Answer: A
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 4 m, the volume of the box (in m3) is:
Choices:
4480
6420
8960
7960
Answer: A
Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices:
188 kmp
299 kmp
278 kmp
288 kmp
Answer: A
Question: If you are given $5, and the amount doubles every day, how much money will you have after 4 days?
Choices:
$512
$1024
$625
$720
Answer: C
Question: The difference b/w the compound interest payble half yearly and the simple interest on a certain sum lent out at 10% p.a for 1 year is Rs 25. What is the sum?
Choices:
Rs. 12000
Rs. 10000
Rs. 20000
none of these
Answer: B
Question: How many different subsets of the set {0, 1, 2, 3, 4} do not contain 0?
Choices:
A.16
C.31
D.32
E.64
Answer: A
Question: What number should replace the question mark?
105, 87, 70, ?, 35
Choices:
52
70
55
83
Answer: A
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 10 o'clock in the morning?
Choices:
60
90
120
150
Answer: A
Question: One root of the quadratic equation x2 - 12x + a = 0, is thrice the other. Find the value of a?
Choices:
25
27
29
31
Answer: B
Question: If 12/x is an integer and 3/x is an integer, which of the following must be true? I. 6/x is an integer II. 18/x is an integer III. 3/x is an integer
Choices:
II, III only
III only
I,III only
II only
Answer: B
Question: You have a six-sided cube and six cans of paint, each a different color. You may not mix colors of paint. How many distinct ways can you paint the cube using a different color for each side? (If you can reorient a cube to look like another cube, then the two cubes are not distinct.)
Choices:
30
48
60
120
Answer: A
Question: 6 dogs and 8 cats do a work in 12 days, while 5 dogs and 8 cats finish it in 16days, 4dogs and 8 cats will finish it in.
Choices:
20 days
24 days
12 days
28 days
Answer: B
Question: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - w - x ?
Choices:
-2
-1
0
-5
Answer: D
Question: list of salaries of 8 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,700, $43,000, $30,000, $27,000, $32,700
Choices:
$32,200
$30,200
$30,800
$31,500
Answer: A
Question: The distance traveled by train in one year approximately 50,000,000 miles.The distance traveled by Train in 25 years?
Choices:
10<8>
10<11>
10<17>
10<7>
Answer: D
Question: Rahul'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 sum of money place at compound interest doubles itself in 6 years. In how many years will it amount to eight times itself?
Choices:
11 years
12 years
18 years
19 years
Answer: C
Question: lets say that the average (arithmetic mean) of seven numbers is 12.2
If the sum of four of these numbers is 42.8, what is the average of the other 3 numbers?
Choices:
(b) 14.2
(c) 16.8
(d) 18.6
(e) 19.2
Answer: A
Question: There are 680 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?
Choices:
425
375
380
400
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
fraction of 1/455
1/457
1/459
1/452
Answer: A
Question: If each side of a square is increased by 25%, find the percentage change in its area?
Choices:
42.55%
56.25%
36.55%
26.55%
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 27, what is the total amount?
Choices:
116
117
118
119
Answer: B
Question: Two trains of length 100 meters and 200 meters are 660 meters apart. They are moving towards each other on parallel tracks, at speeds of 90 km/h and 108 km/h. After how many seconds will the trains meet?
Choices:
12
16
18
20
Answer: A
Question: In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
Choices:
30 litres
40 litres
60 litres
none
Answer: C
Question: How many integers between 324,805 and 458,705 have tens digit 2 and units digit 3?
Choices:
1,359
1,329
1,349
1,348
Answer: C
Question: A certain list consists of 21 different numbers. If n is in the list and n is 3 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Choices:
1/6
1/5
4/21
3/23
Answer: D
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.16
7.12
7.15
7.11
Answer: C
Question: The H.C.F. of two numbers is 15 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Choices:
225
299
322
345
Answer: A
Question: Computer completes the first iteration in 10 seconds and then the following iterations are completed in 7 seconds as constants are already loaded. What is the maximum number of completed iterations under 5 minutes?
Choices:
42
43
44
45
Answer: A
Question: Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8110/-. Find out the amount that he borrowed.
Choices:
Rs. 5266
Rs. 5228
Rs. 5218
Rs. 52192
Answer: A
Question: In a class of 54 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
Choices:
10
18
28
32
Answer: D
Question: A boat can travel 1.5 times the distance down the stream than up the stream in the same time. If the speed of the current is 2 KMPH, Find the speed of the boat in still water
Choices:
10
15
20
25
Answer: A
Question: What profit percent is made by selling an article at a certain price, if by selling at 3/4rd of that price, there would be a loss of 20%?
Choices:
29%
7%
27%
28%
Answer: B
Question: Mary passed a certain gas station on a highway while traveling west at a constant speed of 40 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 50 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 2 hours, how long after he passed the gas station did Paul catch up with Mary?
Choices:
1
3/4
2
3
Answer: A
Question: A courtyard is 18 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
Choices:
27778
20000
27999
14400
Answer: D
Question: 1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member
Choices:
B.20%
C.25%
D.46%
E.50%
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. What is the length of the train?
Choices:
278 m
876 m
150 m
100 m
Answer: D
Question: What is the greatest integer that will always evenly divide the sum of seven consecutive integers?
Choices:
3
4
7
12
Answer: C
Question: If the sides of a cube are in the ratio 7:3. What is the ratio of their diagonals?
Choices:
8:4
7:4
7:3
6:4
Answer: C
Question: If the LCM and HCF of 12 and another number is 60 and 3 respectively. Find the other number ?
Choices:
12
15
13
11
Answer: B
Question: A train running at the speed of 180 km/hr crosses a pole in 36 seconds. What is the length of the train?
Choices:
500 m
550 m
600 m
650 m
Answer: C
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup?
Choices:
25
29
12
20
Answer: A
Question: x, y and z are consecutive positive integers such that x < y < z; which of the following must be true?
1. yz is even
2. (z-x)(y-x+1) = 4
3. xy is odd
Choices:
I , II only
III only
I and II only
I, II, and III
Answer: A
Question: A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 26 per kg, then his gain percent is
Choices:
39%
14%
15%
16%
Answer: A
Question: The ratio of the volumes of two cubes is 125 : 512. What is the ratio of their total surface areas?
Choices:
25 : 64
729 : 1331
27 : 121
None of these
Answer: A
Question: If â€˜MADURAIâ€™ is coded as â€˜DADCIAIâ€™, then â€˜DELHIâ€™ is coded as
Choices:
DDEHI
EDDIH
DECHI
CHIDE
Answer: C
Question: Find the circumference and area of radius 7 cm.
Choices:
144 cm²
154 cm²
184 cm²
194 cm²
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
88
36
77
81
Answer: B
Question: If x^2+(1/x^2)=2, x^4+(1/x^4)=?
Choices:
2
12
14
15
Answer: A
Question: How many integers between 2000 and 3000 that have distinct digits and increase from left to right ?
Choices:
20
60
120
600
Answer: A
Question: How many positive integers less than 600 can be formed using the numbers 1, 2, 3, 5 and 6 for the digits?
Choices:
130
66
68
84
Answer: A
Question: After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.25 cubic inches, what is the original volume of the cubic ice, in cubic inches?
Choices:
3.0
4.0
6.5
8.0
Answer: B
Question: The speed of a boat in still water is 55kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
80,40 kmph
75,35 kmph
80,80 kmph
84,40 kmph
Answer: B
Question: If y ≠ 3 and 2r/y is a prime integer greater than 2, which of the following must be true?
I. r = y
II. y = 1
III. r and y are prime integers.
Choices:
None
II only
III only
I and II
Answer: A
Question: ABCD is a square. E,F,G,H is the midpoint of the sides of square. J and K is the midpoint of the sides HG and FG . L is a point on sides EF such that LF= 1/3 EF. Find the ratio of area of triangle JKL to the area of square ABCD.
Choices:
5: 44
4: 48
5: 48
5: 4
Answer: C
Question: sowdharya had 90 currency notes in all, some of which are of Rs 95 denomination and the remaining of Rs 45 denomination. The total amount of all these currency notes was Rs. 5000. How much amount (in Rs) did she have in the denomination of Rs 45?
Choices:
72
71
76
73
Answer: B
Question: Find the constant b so that the three points A(2 , 3), B(4 , 7) and C(8 , b) are collinear (i.e. on the same line).
Choices:
10
15
20
25
Answer: B
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is?
Choices:
7/12
7/97
7/29
7/15
Answer: D
Question: The music class consists of 5 girls and 7 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
Choices:
158
161
165
210
Answer: D
Question: If x^6 > x^9 > x^11, which of the following could be the value of x?
Choices:
52
6
3
-4.7
Answer: D
Question: A feed store sells two varieties of birdseed: Brand A, which is 60% millet and 40% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?
Choices:
60%
50 %
45 %
55 %
Answer: A
Question: In an institute, 60% of the students are boys and the rest are girls. Further 15% of the boys and 7.5% of the girls are getting a fee waiver. If the number of those getting a fee waiver is 90, find the total number of students getting 50% concessions if it is given that 50% of those not getting a fee waiver are eligible to get half fee concession?
Choices:
280
320
330
350
Answer: C
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
Choices:
345
255
Cannot be determined
342
Answer: C
Question: Find the value of 72519 x 9999 = m?
Choices:
695546788
634899013
725117481
734576909
Answer: C
Question: Find the area of trapezium whose parallel sides are 30 cm and 12 cm long, and the distance between them is 16 cm?
Choices:
277 cm2
285 cm2
336 cm2
340 cm2
Answer: C
Question: A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The same sum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120 only. For how many years was the sum invested?
Choices:
25
36
29
21
Answer: A
Question: The first term of an arithmetic progression is 3 and the 10 th term is 21. Find 15 th and 22 nd terms.
Choices:
31,45
30,46
29,40
39,40
Answer: A
Question: Look at this series: 1.25, 7.5, ____, 270, 1620, ... What number should fill the blank?
Choices:
65
45
55
40
Answer: B
Question: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
Choices:
10
15
16
17
Answer: C
Question: If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 9000 ?
Choices:
13
15
18
10
Answer: B
Question: Solve this logic number sequence puzzle by the correct digit
8080 = 6
1357 = 0
2022 = 1
1999 = 3
6666 = ?
Choices:
four (4)
5
7
8
Answer: A
Question: A fish can go upstream at 35 kmph and downstream at 55 kmph, and then find the speed of the fish in still water?
Choices:
45
35
65
70
Answer: A
Question: The average age of a committee of 10 members is 30 years. A member aged 60 years retired and his place was taken by another member aged 40 years . The average age of
present committee is;
Choices:
28 years
36 years
35 years
37 years
Answer: A
Question: The function f is defined for all the positive integers s by the following rule: f(s) is the number of positive integers each of which is less than s and has no positive factor in common with s other than 1 . if p is a prime number then f(p)?
Choices:
p-1
(p+1)/2
(p-1)/2
2
Answer: A
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 14000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Choices:
28
22
20
21
Answer: A
Question: Two teams Arrogant and Overconfident are participating in a cricket tournament. The odds that team Arrogant will be champion is 5 to 3, and the odds that team Overconfident will be the champion is 1 to 4. What are the odds that either Arrogant or team Overconfident will become the champion?
Choices:
5 to 2
6 to 1
33 to 7
3 to 8
Answer: C
Question: The smallest number which when diminished by 3, is divisible by 12, 16, 18, 21 and 28 is
Choices:
1011
1022
1032
1043
Answer: A
Question: Of the 150 people at a party, 70 were women, and 40 women tried the appetizer. If 50 people did not try the appetizer, what is the total number of men who tried the appetizer?
Choices:
50
60
70
80
Answer: B
Question: A and B together have Sterling 1230. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Choices:
Sterling 484
Sterling 550
Sterling 492
None
Answer: C
Question: Tom opened a shop investing Rs.20000. Jose joined him 8 months later, investing Rs.35000.What will be Tom's and Jose's share of profit ratio after two years?
Choices:
6:7
7:6
5:8
8:5
Answer: A
Question: In how many ways, a committee of 7 members can be selected from 6 men and 5 ladies, consisting of 4 men and 3 ladies?
Choices:
150
200
310
250
Answer: A
Question: If each of 3 digit code is formed of integers from 1 to 20, inclusively, and each of the digits are different, how many possible codes are there?
Choices:
6,840
6,240
6,340
8,440
Answer: A
Question: The sum of the first 60 positive even integers is 3,660. What is the sum of the first 60 odd integers?
Choices:
3600
3300
3200
3100
Answer: A
Question: A trolley which travels at a constant speed and can cover the platform of length 300m in two minute. How long it will take a train of length 200m and having a speed 60kph to pass the trolley?
Choices:
14.11
16.32
18.35
20.45
Answer: A
Question: The sector of a circle has radius of 21 cm and central angle 270o. Find its perimeter?
Choices:
92
93
141
95
Answer: C
Question: A sum of Rs.100 is lent at simple interest of 3% p.a. for the first month, 9% p.a. for the second month, 27% p.a. for the third month and so on. What is the total amount of interest earned at the end of the year approximately
Choices:
Rs.791160
Rs.65930
Rs.66430
Rs.67430
Answer: C
Question: A bill is discounted at 10% per annum. If banker's discount is allowed, at what rate percent should the proceeds be invested so that nothing will be lost?
Choices:
100/9%
11
92/9%
None of these
Answer: A
Question: If 1/a^2 + a^2 represents the diameter of circle O and 1/a + 4a = 3, which of the following best approximates the circumference of circle O?
Choices:
22
20
16
12
Answer: D
Question: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 300. The dividend from the stock is :
Choices:
18.75 %
9.75 %
None of these
Cannot be determined
Answer: A
Question: A person travelled from his house to office at 10km/hr and office to house at 90km/hr. Then find the average speed?
Choices:
18km/hr
25km/hr
28km/hr
33km/hr
Answer: A
Question: Peter can cover a certain distance in 1 hr. 24 min. by covering two-third of the distance at 4 kmph and the
rest at 5 kmph. Find the total distance.
Choices:
5 km
6 km
7 km
8 km
Answer: B
Question: A goods train runs at the speed of 72 kmph and crosses a 270 m long platform in 26 seconds. What is the length of the goods train?
Choices:
250m
643m
832m
270m
Answer: A
Question: A straight line in the xy- plane has y-intercept of 10 . On this line the x-coordinate of the point is 100 and y-coordinate is 1000 then what is the slope of the line?
Choices:
5.5
6.5
3.2
9.9
Answer: D
Question: Two trains start from A & B and travel towards each other at
speed of 50kmph and 60kmph resp. At the time of the meeting the
second train has traveled 120km more than the first.the distance
between them.
Choices:
1310 km
1320 km
1330 km
1340 km
Answer: B
Question: The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 8 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?
Choices:
4
12
40
160
Answer: A
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present
Choices:
37
39
40
82
Answer: C
Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
Choices:
5
9
11
13
Answer: C
Question: {150, 260, 250, n}
Which of the following could be the median of the 4 integers listed above?
I. 175
II. 215
III. 235
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: C
Question: A boat can move upstream at 15 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
6
10
8
9
Answer: B
Question: What number should replace the question mark? 10, 30, 14, 25, 18, 20, ---?
Choices:
21
25
22
20
Answer: C
Question: 3 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choices:
15/4 days
82/8 days
22/76 days
22/2 days
Answer: A
Question: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Choices:
20.98% loss
60.98% loss
50.98% loss
10.98% loss
Answer: A
Question: Mother,her daughter and her grand child weighs 110 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
Choices:
47
48
49
50
Answer: D
Question: If m is an integer, which of the following must be an even integer?
Choices:
m^2-4m+6
m^2-5m+5
m^2+3m+8
m^2+2m+10
Answer: C
Question: The ratio of 2 numbers is 2:8 and their H.C.F. is 40. Their L.C.M. is ?
Choices:
120
80
320
40
Answer: C
Question: The diagonals of a rhombus are 10 cm and 15 cm. Find its area?
Choices:
75
150
123
117
Answer: A
Question: A board of length L feet is cut into two pieces such that the length of piece A is 2 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A?
Choices:
(3L - 2)/4
(L + 2)/3
(3L + 2)/3
(2L - 1)/4
Answer: A
Question: When 50% of one number is added to a second number,the second number increases to its four-thirds. What is the ratio between the first number and the second number?
Choices:
3 : 4
2 : 3
Data inadequate
None of these
Answer: B
Question: Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/8 full and other jar 1/6 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
Choices:
2/7
1/2
7/12
1/4
Answer: D
Question: If a/x = 2/3 and a/y =1/ 2, then (x + y) =
Choices:
B)7a/2
C)6a
D)7a
E)9a
Answer: A
Question: A train running at 1/5 of its own speed reached a place in 20 hours. How much time could be saved if the train would have run at its own speed?
Choices:
10hrs
12hrs
16 hrs
6hrs
Answer: C
Question: " I am eight times as old as you were when I was as old as you are " , said a man to his son. Find out their present ages if the sum of the their ages is 75 years.
Choices:
24
25
26
27
Answer: D
Question: Merry has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
Choices:
55
57
58
59
Answer: A
Question: an article with cost price of 320 is sold at 18% profit. what is the selling price?
Choices:
200
204
378
347
Answer: C
Question: The area of a rectangular plot is 460460 square metres. If the length is 15%15% more than the breadth, what is the breadth of the plot?
Choices:
20 metres
18 metres
12metres
16 metres
Answer: A
Question: A reading list for a certain course consists of 10 books, of which 7 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements?
Choices:
115
130
144
175
Answer: D
Question: In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 4 people read all three newspapers. Find the minimum number of people who read both A and B but not C.
Choices:
B)2
C)3
D)0
E)5
Answer: A
Question: Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Choices:
68 days
77 days
eleven days
88 days
Answer: C
Question: Analysis of the various vehicle prices in a car dealership shop revealed that :
I) trucks cost 12% less than SUVs
II) Minivans cost 20% less than trucks
III) sedans cost 8% less than minivans
what percent of SUV's cost is a sedan?
Choices:
90%
66.24%
70.3%
78.8%
Answer: B
Question: The expression mn+m is odd when the m and n are integers. Which of the following expressions must be even?
Choices:
n
m + n
mn - m
m + n^2
Answer: A
Question: A train passes a man standing on the platform. If the train is 70 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
4 ½ sec
3 ½ sec
8 ½ sec
2 ½ sec
Answer: B
Question: What is the least number of digits (including repetitions) needed to express 10^500 in decimal notation?
Choices:
b) 100
c) 101
d) 501
e) 1001
Answer: C
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
3%
2%
4%
8%
Answer: C
Question: Set X consists of the integers from 1 to 12, inclusive, while set Y consists of the integers from 0 to 20, inclusive. How many distinct integers do belong to the both sets at the same time?
Choices:
12
10
20
8
Answer: A
Question: A man can row at 5 kmph in still water. If the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back. how far is that place.
Choices:
1.4 km
2.4 km
3.4 km
None of these
Answer: B
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 2/2%
16 3/3%
16 2/3%
13 2/3%
Answer: C
Question: Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 10 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If one minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
Choices:
24
36
60
72
Answer: C
Question: A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the amount of money that the student earned per day for the 20th day?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
Choices:
(1) $96
(3) $80
(4) $70
(5) $48
Answer: A
Question: Joan and Karl each bought a stove and the sum of their purchases was $700. If twice of what Joan paid was $80 more than what Karl paid, what did Joan pay for her stove?
Choices:
$260
$280
$300
$320
Answer: A
Question: How many ways are there for 2 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
Choices:
12
72
4
720
Answer: C
Question: Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for r dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
Choices:
xr – (xd – sd)
xd – sr
(x – s)d – xr
(s – r)d – xr
Answer: C
Question: What is the value of 4^6+4^8?
Choices:
4^35
17(4^6)
8^12
7(4^5)
Answer: B
Question: At Company X, senior sales representatives visit the home office once every 16 days, and junior sales representatives visit the home office once every 12 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
Choices:
25%
33%
50%
67%
Answer: B
Question: Which of the following values of x will satisfy the in equality 2x2 – 7x < 15?
Choices:
-3⁄2 < x < 5
x< 5 and x < -3⁄2
x > -3⁄2 and x > 5
None of these
Answer: A
Question: The speed at which a man can row a boat in still water is 20 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
76 seconds
26 seconds
9.4 seconds
18 seconds
Answer: C
Question: If n is an integer greater than 6, which of the following must be divisible by 4?
Choices:
2. n (n+2) (n-1)
3. n (n+3) (n-5)
4. n (n+4) (n-2)
5. n (n+5) (n-6)
Answer: A
Question: The average monthly expenditure of a family for the first four months is Rs 2,750, for the next three months is Rs 2,940 and for the last five months Rs 3,130. If the family saves Rs 5,330 during the whole year, find the average monthly income of the family during the year.
Choices:
Rs 3,500
Rs 3,400
Rs 4,200
None of these
Answer: B
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
56 sec
15 sec
12 sec
Answer: A
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 11 men
do it ?
Choices:
82 hours
30 hours
62 hours
66 hours
Answer: A
Question: which number need to add to 859622 to get a no. exactly divisible by 456?
Choices:
465767
565676
645469
859622
Answer: D
Question: If c is a positive even integer, and n and m are consecutive integers, then (n - m)^c/(m - n)^c =
Choices:
-1
0
1
2
Answer: C
Question: P and Q started a business investing Rs 85000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
Choices:
17:3
17:6
17:7
17:8
Answer: A
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price R per glass on the second day?
Choices:
$0.20
$0.30
$0.40
$0.45
Answer: C
Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
6500
7000
7700
7500
Answer: D
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 750 grams. Find the profit percent.
Choices:
100/23%
100/19%
100/3%
None of these
Answer: C
Question: A student answered 86 problems on a test correctly and
received a grade 98%. How many problems were on the test,
if all the problems were worth the same number of points?
(Round to the nearest whole number)
Choices:
28 problems
68 problems
58 problems
88 problems
Answer: D
Question: A can work three times as fast as B. Together they can finish a job in 24 days. In how many days can A complete the job alone?
Choices:
30
32
34
36
Answer: B
Question: If two numbers are in the ratio 2:3. If 5 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
A)10
C)20
D)24
E)26
Answer: A
Question: 6.513/10.02 =
Choices:
0.3505
0.3509
0.65
0.3527
Answer: C
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.40 for every box, and if the university needs 2.16 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$180
$310
$450
$640
Answer: A
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 3% p.a. in 5 years. What is the sum?
Choices:
26775
28821
89255
28871
Answer: A
Question: A company uses 5 pizza machines to produce 500 pizzas in a day. They buy 2 more new machines that can produce 20% more. How many pizzas in all can be produced for 5 days?
Choices:
4,000
3,000
5,500
2,500
Answer: C
Question: If x and y are prime numbers, which of the following CANNOT be the sum of x and y?
Choices:
9
13
16
23
Answer: D
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Choices:
14988
12778
14000
27191
Answer: C
Question: What is the area of square field whose side of length 5 m?
Choices:
26 sq m
25 sq m
45 sq m
96 sq m
Answer: B
Question: What is the smallest positive integer K such that the product of 1575 x K is a perfect square?
Choices:
7
15
25
63
Answer: A
Question: What will come in place of the x in the following Number series? 5,28,57,88,125,166,209
Choices:
159
166
170
256
Answer: D
Question: Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
Choices:
40
277
26
12
Answer: A
Question: A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
88
53
22
Answer: C
Question: Convert 100 inches into centimeter?
Choices:
120cm
150cm
210cm
254cm
Answer: D
Question: Two trains are moving in the same direction at 50 km/hr and 30 km/hr. The faster train crosses a man in the slower train in 18 seconds. Find the length of faster train.
Choices:
100 meter
1787 meter
1768 meter
8167 meter
Answer: A
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
88 sec
25 sec
88 sec
55 sec
Answer: B
Question: Working individually, Julie can peel potatoes in 10 hours and Ted can peel potatoes in 8 hours. If Julie and Ted work together but independently at the task for 4 hours, at which point Ted leaves, how many remaining hours will it take Julie to complete the task alone?
Choices:
2/11
1/4
1/3
1
Answer: D
Question: In a School, 93 percent of students like vegetarian, 95 percent of students like Non-veg, 89 percent likes fast food and 91 percent likes Chines food.
Can you find out the percentage of students who like all 4 food variety?
Choices:
65%
75%
88%
68%
Answer: D
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 25 mangoes. Find the gain percent?
Choices:
25%
21%
20%
24%
Answer: C
Question: On a certain farm the ratio of horses to cows is 5:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 17:7. After the transaction, how many more horses than cows would the farm own?
Choices:
40
50
60
70
Answer: B
Question: If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many W digits does this integer consists of?
Choices:
339
342
359
362
Answer: B
Question: Ashok secured average of 70 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choices:
50
78
80
None of these
Answer: A
Question: If the sides of a triangle are 28 cm, 26 cm and 10 cm, what is its area?
Choices:
130
288
266
2848
Answer: A
Question: How many four digit numbers have no repeat digits, do not contain zero, and have a sum of digits D equal to 28?
Choices:
24
28
48
96
Answer: C
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
Rs.1000
Rs.1028
Rs.1029
Rs.1023
Answer: A
Question: A lady has fine gloves and hats in her closet - 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that it is a glove. How many gloves must she take out to make sure she has a pair of each color?
Choices:
60
70
75
80
Answer: A
Question: A tourist does not have to pay tax on the first $600 of goods he purchases in Country B, but does have to pay a 8 percent tax on the portion of the total value that is in excess of $600. What tax must be paid by a tourist if he buys goods with a total value of $1720?
Choices:
$89.60
$90.00
$100.80
$154.80
Answer: A
Question: The sum of the digits of a two digit number is 10. When the digits are reversed, the number decreases by 54. Find the changed Number.
Choices:
28
37
46
50
Answer: A
Question: If n + 14 is a positive odd integer, which of the following must be true about the sum of the next four integers?
Choices:
It is a multiple of 4
It is a multiple of 2
It is a multiple of 5
It is a prime number
Answer: B
Question: 16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 24 girls Will take to construct?
Choices:
4 days
6 days
8 days
9 days
Answer: A
Question: A dishonest dealer uses a scale of 92 cm instead of a metre scale and claims to sell at cost price. His profit is
Choices:
10%
12%
None of these
8.7%
Answer: D
Question: A man is 28 years older than his son. In four years, his age will be twice the age of his son. The present age of this son is
Choices:
22 years
23 years
24 years
25 years
Answer: C
Question: Reduce
368/736
to the lowest terms
Choices:
2/9
2/8
1/2
None of these
Answer: C
Question: From a group of 5 boys and 5 girls, 6 children are to be randomly selected. What is the probability that 3 boys and 3 girls will be selected?
Choices:
6/17
8/19
10/21
12/23
Answer: C
Question: If x and y are integers and x divided by y is 17.15, then which of the following integers is a possible value for the remainder when x is divided by y? I. 15 II. 5 III. 3
Choices:
I only
II,III only
III only
I,III only
Answer: D
Question: If each side of a rectangle is increased by 50% with the length being double the width, find the percentage change in its area?
Choices:
276%
265.25%
284.5%
275%
Answer: D
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.75 at the candy store. What is John’s weekly allowance?
Choices:
$2.80
$3.20
$3.60
$4.80
Answer: A
Question: By approximately what percent is x greater than 2/5 if (3/5)(x) = 1?
Choices:
156%
316%
37%
29%
Answer: B
Question: How many positive integer solutions does the equation 2x+3y = 100 have?
Choices:
33
16
35
14
Answer: B
Question: A diner is having lunch at a salad bar. There are two types of lettuce to choose from, as well as three types of tomatoes, and five types of olives. If the diner picks one type of lettuce, one type of tomato, and one type of olive for the salad, how many total options does the diner have for the salad?
Choices:
30
35
40
45
Answer: A
Question: The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is
Choices:
48
56
27
67
Answer: A
Question: A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?
Choices:
14700
14000
15000
15200
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Choices:
2/20
2/21
2/22
6/21
Answer: B
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
Rs.1000
Rs. 3630
Rs.2500
Rs.6000
Answer: B
Question: When 5 + 6 = 305, 6 + 7 = 425, 7 + 8 = 565, then 8 + 9 = ?
Choices:
735
685
665
725
Answer: D
Question: How long does a train 120 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
sec
sec
sec
sec
Answer: C
Question: |x+3| – |4-x| = |8+x| How many solutions Zwill this equation have?
Choices:
0
2
3
4
Answer: A
Question: A does a work in 30 days and B does the same work in 15 days. In how many days they together will do the same work ?
Choices:
8 days
9 days
10 days
None of these
Answer: C
Question: A man cycling along the road noticed that every 6 minutes a bus overtakes him and every 2 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
Choices:
3 minutes
8 minutes
9 minutes
10 minutes
Answer: A
Question: A certain Maroon paint contains 50 percent blue pigment and 50 percent red pigment by weight. A certain green paint contains 30 percent blue pigment and 70 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Choices:
3.5
2.5
4
4.5
Answer: B
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is B's share?
Choices:
$1000
$1500
$2000
$2500
Answer: A
Question: In what time a sum of money double itself at 4% per annum simple interest?
Choices:
33 1/3%
33 7/3%
32 1/3%
25 %
Answer: D
Question: In a throw of a coin find the probability of getting a head?
Choices:
1/2
1/4
2/3
2/5
Answer: A
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
6 days
8 days
9 days
5 days
Answer: C
Question: 23, 18, 16, 11, 9, 4 ?
Choices:
2
7
5
1
Answer: A
Question: What should come in place of the question mark (?) in the following number series?
5690 5121 4552 3983 3414 2845 ?
Choices:
2276
2746
2356
None of these
Answer: A
Question: is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 22, then how old is B?
Choices:
8
9
10
11
Answer: A
Question: 16 men can complete a piece of work in 25 days. In how many days can 15 men complete that piece of work?
Choices:
26.7 days
20 days
88 days
44 days
Answer: A
Question: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choices:
25200
23228
29982
20822
Answer: A
Question: If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 12 women together do the work?
Choices:
88 days
40 days
55 days
44 days
Answer: B
Question: On tuesday Morning, Chris receives tickets to a baseball game that will be played at 8pm on the next evening that it does not rain. However, Chris is only in town until Thursday morning, at which point he must fly to another city. If there is a 30% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Choices:
91%
66%
80%
84%
Answer: A
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5412, 6336
Choices:
5
6
7
8
Answer: A
Question: Current age of Bruce and Tomy r in the ratio of 5:4 respectively. 3 years hence, the ratio of their ages will become 11:9 respectively. What is Tomy 's present age in years?
Choices:
16 years
24 years
32 years
36 years
Answer: B
Question: In traveling from a dormitory to a certain city, a student went 1/3 of the way by foot, 1/4 of the way by bus, and the remaining 5 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
17
42
15
12
Answer: D
Question: How many different arrangements are possible to place seven different books on a shelf if all three math books must be placed next to each other?
Choices:
148
360
540
720
Answer: D
Question: John bought 9.25m of cloth for $444. Find the cost price per metre.
Choices:
48
58
56
54
Answer: A
Question: A certain team has 15 members, including Joey. A three-member relay team will be selected as follows: one of the 15 members is to be chosen at random to run first, one of the remaining 14 members is to be chosen at random to run second, and one of the remaining 13 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
Choices:
1/132
1/110
1/12
2/15
Answer: D
Question: Employee A work from 01:00 to 08:45 (24 hour clock) on each of the five days this week. Next week, he is scheduled to work the same total hours, but will work a compressed 4 day work schedule. If he starts work at 01:00 next week, what time will he finish each day?
Choices:
10:41
10:45
11:56
16:19
Answer: A
Question: A certain restaurant offers 4 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
Choices:
12
15
21
14
Answer: D
Question: If 5 machines can produce 20 units in 10 hours, how long would it take 10 machines to produce 100 units?
Choices:
25
35
24
96
Answer: A
Question: A certain vehicle is undergoing performance adjustments during a set of three trials on an 8-mile track. The first time it travels around the track at a constant rate of p miles per minute, the second time at a constant rate of p^2 miles per minute, and the third time at a constant rate of p^3 miles per minute. If the vehicle takes the same time to travel the first 18 miles of these trials as it does to travel the last 8 miles, how many minutes does it take to complete all three trials (not counting any time between trials)?
Choices:
36
60
96
112 minutes
Answer: D
Question: Of the two square fields, the area of the one is 1 hectare, while anothe one is broader by 1%. There differences in area is:
Choices:
201 m(power)2
211 m(power)2
219 m(power)2
205 m(power)2
Answer: A
Question: Evaluate: 19 + sqrt(- 2 + 12Ã—6Ã·9) =?
Choices:
53
55
57
59
Answer: B