antoine-444/aqua_rat_dataset huggingface dataset:
Question: Complete the numerical sequence by replacing the question mark with the correct numbers.
5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
9+5+5 = ??????
Choices:
588447
845668
454585
544586
Answer: C
Question: One man selling a lottery there are 10 prizes and 25 no prizes. if a lottery is drawn randomly, What is the probability of getting a prize?
Choices:
2/7
2/9
3/11
4/11
Answer: A
Question: What least number should be subtracted from 642 so that the remainder when divided by 5, 7, and 9 will leave in each case the same remainder 4 ?
Choices:
6
8
9
10
Answer: B
Question: If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"RAM" would be
Choices:
128
632
122
156
Answer: A
Question: If 123xy is divisible by 40, then the value in place of x+y is :
Choices:
7
4
3
9
Answer: B
Question: In a sample of associates at a law firm, 25 percent are second-year associates, and 75 percent are not first-year associates. What percentage of the associates at the law firm have been there for more than two years?
Choices:
25
50
75
100
Answer: B
Question: Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 9 points more than the previous mock test. If he scored 760 on the GMAT and his average score for the mocks and the GMAT was 726.67, what was the difference in the score of his last mock and his GMAT score?
Choices:
22
40
50
60
Answer: A
Question: IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
Choices:
x(x+1)(x+2)
9x
9x^2
x+3
Answer: D
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
34 kmph
30 kmph
45 kmph
65 kmph
Answer: B
Question: If 15!/3^x is an integer, what is the greatest possible value of x?
Choices:
4
5
6
7
Answer: C
Question: A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length R of the fence including the fence posts on each end?
Choices:
m(n + x)
R=m(n + x) + x
m(n + x) + 2x
2mn
Answer: B
Question: A 20% stock yielding 8% is quoted at?
Choices:
170
250
180
185
Answer: B
Question: Jim bought edging to go around a circular garden with a radius of 6 feet. Later he decided to
double the diameter of the garden. How many more feet of edging must he buy?
Choices:
48.84' additional edging
38.84' additional edging
18.84' additional edging
37.68' additional edging
Answer: D
Question: Find the amount of rs.7500 at compound interest at 4%per annum for 2 years?
Choices:
8112
7160
6210
8021
Answer: A
Question: 10^196 - 10^9 = Which of the following best approximates the value of the expression above?
Choices:
10^196
10^100
10^150
10^170
Answer: A
Question: After decreasing 20% in the price of an article costs Rs.600. Find the actual cost of an article?
Choices:
775
53
530
220
Answer: A
Question: The cost price of 25 books is the same as the selling price of ’X’ books. If the profit is 25%, then the value of X is ?
Choices:
12.8
16
15
14
Answer: A
Question: total dinning bill of 3 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared .
Choices:
50.96
53.84
24.84
50.26
Answer: A
Question: The cash difference between the selling prices of an article at a profit of 2% and 6% is Rs. 3. The ratio of the two selling prices is?
Choices:
52:53
52:50
22:56
51:53
Answer: D
Question: Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 16?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 16?
Choices:
75x^2 = 3y^2 - 12
25x^2 = (y + 2)(y - 2)
5x = y - 4
x^2 = (y^2 - 4)/25
Answer: C
Question: A vessel of capacity 45 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choices:
28.8
38.3
78.3
79.3
Answer: A
Question: Three distinct single digit no A,B,C are in G.P. If abs(x) for real x is the absolute value of x(x if x is positive or zero, and x if x is negative),then the no. of different possible values of abs(A+B-C) is
Choices:
4
3
5
2
Answer: C
Question: 15 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
Choices:
18.75 days
20 days
88 days
44 days
Answer: A
Question: What is the sum of the digits of integer k, if k = (10^45- 46)
Choices:
366
363
396
408
Answer: C
Question: A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 5 for a dollar and the other at a rate of 5 for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?
Choices:
1:1
2:3
1:2
2:5
Answer: A
Question: Given
A+B+C=100
60A+40B+C=2000
Find A+B=?
Choices:
74
40
44
can't determine
Answer: B
Question: A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets.
Choices:
50%
60%
70%
80%
Answer: A
Question: The average of a couple was 18Yrs when they were married 20Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 26Yrs now. How old is the
child now ?
Choices:
2 Yrs
3 Yrs
1 Yrs
None of these
Answer: A
Question: If x and y are positive integers such that x/y=33.375, which of the following could be the remainder when x is divided by y?
Choices:
21
25
44
47
Answer: A
Question: An artist wishes to paint a circular region on a square poster that is 3 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
Choices:
sqrt(2/pi)
sqrt(4.5/pi)
2/sqrt(pi)
pi/2
Answer: B
Question: Train A is stopped at a railway station and train B is passing the train A with a speed of 62kph. Train A and B are having lengths of 200m and 185m respectively. How long it will take the train B to pass train A?
Choices:
19.82
22.36
28.38
31.91
Answer: B
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
20.78%loss
20.38%loss
10.98%loss
Answer: A
Question: Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, sam's new income would be what fraction of Quentin's new income?
Choices:
12/11
13/19
12/19
11/19
Answer: A
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
Choices:
16/19
4/5
17/20
3/5
Answer: C
Question: Find the odd man out 17, 39, 171, 347
Choices:
18
83
82
39
Answer: B
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
Choices:
32.4
32.5
32.9
32.2
Answer: A
Question: In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 72,030,000, how many red beads were removed?
Choices:
2
3
4
5
Answer: C
Question: A card game called “high-low” divides a deck of 52 playing cards into 2 types, “high” cards and “low” cards. There are an equal number of “high” cards and “low” cards in the deck and “high” cards are worth 2 points, while “low” cards are worth 1 point. If you draw cards one at a time, how many ways can you draw “high” and “low” cards to earn 5 points if you must draw exactly 3 “low” cards?
Choices:
2
3
4
5
Answer: C
Question: A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855. the total profit is
Choices:
Rs. 1500
Rs.1537
Rs.1576
None
Answer: A
Question: Evaluate: 35 - 12*3*2 = ?
Choices:
52
32
27
22
Answer: C
Question: In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
Choices:
4989600
120960
180960
None of these
Answer: B
Question: In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 34 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
Choices:
33
24
38
47
Answer: A
Question: Murali travelled from city A to city B at a speed of 4 kmph and from city B to city C at 6 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
A. 48 kmph
Choices:
5
28
7
16
Answer: A
Question: There are 134 toys coloured red and white in a box. Two red toys are removed from the lot and now there are twice as many red ones as white ones. How many of red colour toys are there now?
Choices:
86
90
88
78
Answer: C
Question: 8 and 2 are the first two terms in a geometric sequence. What is the arithmetic difference between the 3rd term and the 4th term?
Choices:
(6) * (1/4)^3
(6) * (1/8)^3
(6) - (1/4)^3
(6) / (1/4)^3
Answer: A
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.2
8.4
10
9
Answer: A
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Choices:
Rs. 2(2/7)
Rs. 2(2/11)
Rs. 2(2/13)
Rs. 2(1/9)
Answer: A
Question: A man invests Rs. 3,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
Choices:
Rs. 1300
Rs. 1500
Rs. 2000
None of these
Answer: B
Question: If we have 12 people in a meeting, in how many ways they can sit around a table?
Choices:
11*10!
8*7!
7*6!
6*5!
Answer: A
Question: A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Choices:
88
40
99
11
Answer: B
Question: An arithemetic sequence of numbers begins p, 2p + 2, 4p + 3... What is the 12th member of this sequence?
Choices:
B)40
+ 13
D)34
+ 13
Answer: C
Question: Evaluate 75 / .05
Choices:
1500
1505
None of these
1506
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Choices:
23
25
27 7/9
27
Answer: C
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
278
288
860
721
Answer: C
Question: What is the remainder when 570 is divided by 6?
Choices:
1
4
0
2
Answer: A
Question: a,b,c are positive numbers such that they are in increasing Geometric progression then how many such numbers are there in (loga+logb+logc)/6 =log6
Choices:
2
3
4
5
Answer: C
Question: List I: 2, 4, 6, 8 List II: x,2, 4, 6, 8
Choices:
5
9
11
13
Answer: A
Question: Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 85 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Choices:
255km
220km
180km
200km
Answer: A
Question: In a series of football matches, the probability that Team P wins a match against Team Q is 1/4 and the probability that the match ends in a draw is 1/6. If the two teams play five matches, what is the probability that all five matches end in a draw?
Choices:
1/5546
1/6656
1/7776
1/8886
Answer: C
Question: For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d d feet from the source is given by the formula S=60k/d^2 60, where k is a constant. If the intensity of the light is 40 candles at a distance of 6 feet from the source, what is the intensity of the light at a distance of 30 feet from the source?
Choices:
1/2 candles
8/5 candles
2 candles
3 candles
Answer: B
Question: Jemma takes 2 hours to swim the 4 miles from buoy A to buoy B. Tired from her swim, she then continues to buoy C at half her previous speed. If buoy C is 6 miles away from buoy B, how many more hours will pass before Jemma reaches Buoy C?
Choices:
5
6
7
8
Answer: B
Question: The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.470 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
Choices:
420
430
450
525
Answer: D
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
Choices:
42, 33
44, 33
44, 36
None of these
Answer: A
Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 2700, then his salary per month in rupees is:
Choices:
6000
18000
10000
None of these
Answer: B
Question: Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 772.
Choices:
120 ,122 , 124 ,128
120 ,121 , 122 ,123
125 , 127 ,129, 131
None of these
Answer: C
Question: A shepherd had 17 sheep. All but nine died. How many was he left with ?
Choices:
8
9
17
18
Answer: B
Question: If s is a positive even integer, and n and m are consecutive integers, then (n - m)^s/(m - n)^s =
Choices:
-1
0
1
2
Answer: C
Question: For every positive even integer n, the function h(n) is defined to be the product of all even integers from 2 to n, inclusive. For instance, h(10)= 2x4x6x8x10. What is the greatest prime factor of h(28)+h(30)?
Choices:
7
13
29
31
Answer: D
Question: A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
30
108
66
12
Answer: B
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 38 min, then the slower pipe alone will be able to fill the tank in?
Choices:
787
152
128
121
Answer: B
Question: What is the unit digit in (4137)^754?
Choices:
3
7
9
None of these
Answer: C
Question: The arithmetic mean of the scores of a group of students in a test was 40. The brightest 10% of them secured a mean score of 60 and the dullest 20% a mean score of 30. The mean score of remaining 70% is?
Choices:
30
40
42
48
Answer: B
Question: The fraction 878(21/10000) in decimal form is
Choices:
878.0021
878.00021
878.021
Cannot be determined
Answer: A
Question: There are 280 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
Choices:
650
700
750
None of these
Answer: B
Question: If 7a - 3b = 10b + 40 = -12b - 2a, what is the value of 9a + 9b?
Choices:
-3
0
3
5
Answer: B
Question: A bag contains 6 black and 4 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
2/5
1/7
1/8
4/3
Answer: A
Question: Given f(x) = 3x – 5, for what value of x does 2*[f(x)] + 5 = f(3x – 6)
Choices:
4
6
7
13
Answer: B
Question: Ashok secured average of 76 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:
74
78
86
None of these
Answer: C
Question: What is the smallest positive integer x such that 66-x is the cube of a positive integer
Choices:
7
47
9
2
Answer: D
Question: Which one of the following is a prime number?
Choices:
90
81
29
91
Answer: C
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.00 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
s.666
s.999
s.1085
s.1020
Answer: A
Question: In a given set of S = {1,2,3,4,5,6,7,8} what is the median of the set S?
Choices:
4.5
5
3.5
6
Answer: A
Question: A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying or selling 1 kilogram. Find the percentage profit earned by the shopkeeper?
Choices:
25%
32%
46.66%
50%
Answer: B
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
299
322
345
None
Answer: B
Question: If the area of circle is 616 sq cm then its circumference?
Choices:
88
77
51
21
Answer: A
Question: The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
Choices:
44
66
60
12
Answer: C
Question: The ratio of the radius of two circles is 1: 4, and then the ratio of their areas is?
Choices:
1: 16
1: 9
1: 3
1: 2
Answer: A
Question: Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Choices:
10.30 am
9 am
11 am
12 am
Answer: A
Question: A bag contains 7 red, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
Choices:
2/9
1/12
4/17
2/3
Answer: B
Question: One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 50,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
Rs. 20,000
Rs. 60,000
Rs. 90,000
None
Answer: A
Question: What is the units digit of the expression 13^27 +1?
Choices:
3
4
8
9
Answer: C
Question: Two bullet train s 140 m and 170 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Choices:
12.8 sec.
11.16 sec.
10.8 sec.
08.8 sec.
Answer: B
Question: The equation f= 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at f = -5, the equation for l is
Choices:
- 3x - 11 = 0
+ y - 16.5 = 0
- y - 7 = 0
+ y + 13.5 = 0
Answer: B
Question: The captain of a cricket team of 11 members is 28 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
21 years
22 years
23 years
25 years
Answer: D
Question: If the price of 357 apples is Rs.1517.25, what will be the approximate price of 49 dozens of such apples
Choices:
Rs. 2500
Rs. 2200
Rs. 1400
None of these
Answer: A
Question: The product S of the first 10 prime numbers is closest to which of the following?
Choices:
6.5 x 10^8
6.5 x 10^9
6.5 x 10^10
6.5 x 10^11
Answer: B
Question: A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 24 gallons of gasoline?
Choices:
284.6
300
292
312
Answer: C
Question: There are two positive numbers in the ratio 4:8. If the larger number exceeds the smaller by 16, then find the smaller number?
Choices:
20
77
88
44
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choices:
22.0
22.15
22.17
22.63
Answer: A
Question: A woman sold 300 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 7 for 85 cents. How many were sold at the first rate?
Choices:
21
9
15
13
Answer: D
Question: How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
Choices:
150
160
180
200
Answer: B
Question: A bag contains 3 red, 3 green and 4 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball?
Choices:
7/12
11/16
17/24
37/48
Answer: C
Question: How many integers from 0 to 44, inclusive, have a remainder of 1 when divided by 3 ?
Choices:
13
17
18
19
Answer: A
Question: Divide 50 into two parts so that sum of the reciprocal is 1/12 ?
Choices:
20,20
30,20
40,20
50,20
Answer: B
Question: emblem is coded as 216;
crude is coded as 125
Crickets will be ?
Choices:
644
512
380
464
Answer: B
Question: If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
Choices:
331/3%
381/3%
351/3%
231/3%
Answer: A
Question: Population of a city in 20004 was 1000000. If in 2005 there is an increment of 30% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
Choices:
977522
984424
997454
1225250
Answer: D
Question: When a student Joe, weighing 42 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the weight of Joe?
Choices:
6 kg
30 kg
36.5 kg
71 kg
Answer: A
Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Choices:
6 days
8 days
5 days
2 days
Answer: A
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Choices:
24
88
92
22
Answer: A
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Choices:
5
7
1
2
Answer: A
Question: 25 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Choices:
6 days
7 days
9 days
10 days
Answer: D
Question: The speed of a boat in still water is 30kmph and the speed of the current is 15kmph. Find the speed downstream and upstream?
Choices:
40,10 kmph
29 ,10,kmph
26,20 kmph
45,15 kmph
Answer: D
Question: The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, then find the average for the last four matches.
Choices:
33.5
34.25
35
None
Answer: B
Question: Find the value for m?
19(m + n) + 17 = 19(-m + n) - 135
Choices:
-1
1
2
-4
Answer: D
Question: How many multiples of 8 are there between 100 and 200 (both are inclusive)?
Choices:
4
6
13.5
8
Answer: C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 90 km/hr, what is the length of the platform?
Choices:
240
287
400
191
Answer: C
Question: The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Choices:
Rs. 1650
Rs. 1750
Rs. 2000
Rs. 2500
Answer: B
Question: If 50% of a number is equal to one-third of another number, what is the ratio of first number to the second number?
Choices:
1:4
3:7
6:11
2:3
Answer: D
Question: Two horses begin running on an oval course at the same time. One runs each lap in 9 minutes; the other takes 15 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
Choices:
12
9
45/2
3
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 eleven years older than Ellen, how old is Aaron?
Choices:
3–5
11–15
16–20
21–25
Answer: A
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 16th day?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
Choices:
(2) $84
(3) $80
(4) $70
(5) $48
Answer: A
Question: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/4 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
Choices:
1/15
2/15
1/8
2/10
Answer: C
Question: Ten coins are tossed simultaneously. In how many of the outcomes will the first coin turn up a head?
Choices:
2^10
3 * 2^8
2^9
3 * 2^10
Answer: C
Question: Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6 (with an equal chance of landing on any side). Bill rolls the dice and his score is the total of the two dice. Jane then rolls the dice and her score is the total of her two dice. If Jane’s score is higher than Bill’s, she wins the game. What is the probability the Jane will win the game?
Choices:
175/432
575/1296
583/1296
1/2
Answer: B
Question: A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and 5 have fish. Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. If no one has all three kinds of pets, how many patrons have none of these pets?
Choices:
5
8
None of these
Cannot determined
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 18 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
25
27
28
21
Answer: A
Question: The tax on a commodity is diminished by 10% and its consumption increased by 25%. The effect on revenue is?
Choices:
18% decrease
19% decrease
13% decrease
12.5% increase
Answer: D
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 2 times before stopping?
Choices:
125/216
25/216
91/216
1/6
Answer: D
Question: Wendy begins sanding a kitchen floor by herself and works for 7 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?
Choices:
3/20 hours
20/3 hours
80/9 hours
10 hours
Answer: D
Question: Jamshid can paint a fence in 50 percent less time than Taimour can when each works alone. When they work together, they can paint the fence in 7 hours. How long would it take Taimour to paint the fence alone?
Choices:
8 hours
14 hours
21 hours
32 hours
Answer: C
Question: A bat is bought for Rs.800 and sold at a gain of 20% find its selling price
Choices:
Rs.950/-
Rs.860/-
Rs.960/-
None of these
Answer: C
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
Choices:
3 km
6 km
9 km
2 km
Answer: B
Question: If the mode of Set F is equal to the median of Set F, Set F could be
Choices:
[2, 2, 5, 7, 9]
[x, x+1, x+2, x+2, x+3, x+3]
[10, 102, 105, 105]
[4, 7, 10, 11, 25/2, 13, 13, 17, 29, 51, 51, 51]
Answer: B
Question: Three numbers are in the ratio 3:4:5 and their L.C.M. is 2400. Their H.C.F is?
Choices:
30
40
50
60
Answer: B
Question: There are a total of 12 students in Mr. Sri's gym class. Over the course of a badminton unit, each of the 12 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
Choices:
67
69
60
66
Answer: D
Question: Which of the following is the sum of all the even numbers between 1 and 97, inclusive?
Choices:
2450
2600
2449
2652
Answer: C
Question: An article is bought for Rs.900 and sold for Rs.1000, find the gain percent?
Choices:
11 2/9%
11 1/9%
11 2/3%
11 3/3%
Answer: B
Question: In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $5,100. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?
Choices:
2. $15,750
3. $17,100
4. $18,100
5. $19,200
Answer: B
Question: A tour group of 25 people paid a total of $945 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$23.94
$36
$25.20
$30
Answer: B
Question: A parking garage rents parking spaces for $10 per week or $40 per month. How much does a person save in a year by renting by the month rather than by the week?
Choices:
$160
$220
$40
$260
Answer: C
Question: Which of the following fractions W has a decimal equivalent that is a terminating decimal?
Choices:
15/196
16/225
25/144
39/128
Answer: D
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 12 feet tall and 3 feet in circumference?
Choices:
9 feet
13 feet
15 feet
18 feet
Answer: A
Question: James and David work at a grocery shop with 12 other workers. For an internal review, 2 of the 12 workers will be randomly chosen to be interviewed. What is the probability that James and David will both be chosen?
Choices:
1/36
1/46
1/66
1/56
Answer: C
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140 sq.units
148
17
143
Answer: A
Question: Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $7 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Choices:
8n + 4
9n + 2
9n + 3
9n + 6
Answer: D
Question: What will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of rectangle as base and a vertex on the opposite side of rectangle.
Choices:
2 : 1
3 : 1
Data inadequate
None of these
Answer: A
Question: Winners will be announced the following day at 12 AM Pacific/1 PM Eastern Time.
If A, X, Y, and Z are unique nonzero digits in the equation:
XY
*YX
____
AYZ
And Y > X, the 2-digit number XY = ?
Choices:
21
23
24
25
Answer: D
Question: The cost price of a radio is Rs.2300 and it was sold for Rs.1800, find the loss %?
Choices:
99
27
26
21
Answer: D
Question: The mean of 20 observations was 36. It was found later that an observation 25 was wrongly taken as 40. The corrected new mean is
Choices:
25.4
40
35.25
26.55
Answer: C
Question: For integers x and y, if (x+2)(y+3) is even then 4xy must be divisible by:
Choices:
4
9
10
12
Answer: A
Question: How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30 sec
36 sec
16 sec
18 sec
Answer: B
Question: It is required to seat 4 boys and 3 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
Choices:
144
3680
3280
3680
Answer: A
Question: Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores 1/4, what is the value of Y/X ?
Choices:
2.
1/5
1/3.
There isn't enough data to answer the question.
Answer: B
Question: A bowl was filled with 10 ounces of water, and 0.010 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
0.40%
5%
40%
Answer: C
Question: The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number?
Choices:
6
9
12
15
Answer: B
Question: If cyclist is covering a circular distance of diameter 15 inches at the speed of x inches/min, and another cyclist is covering a circular distance of diameter 25 inches at the speed of y inches/min then what is the value of y in terms of x if both the cyclists cover the distance at the same time?
Choices:
6x/2
7x/3
5x/3
4x/3
Answer: C
Question: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
6:9
6:5
6:2
6:1
Answer: B
Question: Zeeshan having a certain number of one rupee,fifty paise and twenty
five paise coins are in the ratio of 3:2:4, add up to
Rs 75. Then how many 1 rupee coins he have?
Choices:
20
45
128
49
Answer: B
Question: Yesterday i noticed that in my clock , there is time when the hour needle and the minute needle are exactly between 1 and 2.
Also both the needles lie on top of each other.
What time i and talking about ?
Choices:
11:00
09:00
12:00
07:00
Answer: C
Question: Simple interest on a certain sum at a certain annual rate of interest is 1/4 of the sum. If the numbers representing rate percent is 5time of years , then the Time is:
Choices:
5 1/2 years.
4 1/2 years.
2 1/2 years.
3 1/2 years.
Answer: C
Question: If m is a positive integer, and m/15 = 8.2, what is the remainder Y when m is divided by 15?
Choices:
B.2
C.3
D.4
E.8
Answer: B
Question: The sum of two number is 25 and their difference is 13. Find their product.
Choices:
114
315
350
400
Answer: A
Question: Kim is taking a math class, and the teacher gives a multiple choice test consisting of 6 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?
Choices:
b 400
c 5^8
d 5^6
e 40^40
Answer: C
Question: In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?
Choices:
28
76
54
912
Answer: C
Question: Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?
Choices:
4/7
5/7
5/9
5/11
Answer: A
Question: a man can row 18 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream.
Choices:
3 km/hr
7 km/hr
9 km/hr
5 km/hr
Answer: C
Question: A 60 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
20
17
36
30
Answer: B
Question: Twelve contestants at the county fair have entered their cakes to be judged in the cake decorating competition. A purple ribbon, blue ribbon, red ribbon, and white ribbon will be given to the first, second, third, and fourth place competitors, respectively. How many different ways are there to award the four ribbons to the contestants?
Choices:
12!/(8!*4!)
8!/4!
12!/8!
12!/4!
Answer: C
Question: Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 30% of the previous term. What is the value range of the five numbers?
Choices:
9,750
9,919
9,984
10,736
Answer: B
Question: If x and y are positive integers, each of the following could be the greatest common divisor of 30x and 15y EXCEPT
Choices:
15y.
15(x + y).
15(x - y).
15,000.
Answer: B
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
13.2 sec
18.9 sec
16.8 sec
12.9 sec
Answer: C
Question: There are k-2 members in a certain band, including Jim and Ellen. Two members are to be selected to attend the Grammy awards ceremony. If there are 28 possible combinations in which Jim and Ellen are not selected, what is the value of k?
Choices:
9
10
11
12
Answer: D
Question: If 2x + y = 4 and x + 2y = 5, then (x + y)/3 =
Choices:
1
17/5
18/5
4
Answer: A
Question: Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. In which direction and how many metres is he from the starting position?
Choices:
30 m East
35 m East
45 m East
40 m East
Answer: C
Question: There are 4 more women than there are men on a local co-ed softball team. If there are a total of 14 players on the team, what is the ratio of men to women?
Choices:
6/16
4/16
6/10
5/9
Answer: D
Question: The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond ?
Choices:
152
156
144
None
Answer: B
Question: What comes next?
6 1 3 1 4 __
Choices:
4
7
8
5
Answer: D
Question: What is the speed of the stream if a canoe rows upstream at 3km/hr and downstream at 12km/hr
Choices:
4 kmph
3 kmph
2 kmph
4.5 kmph
Answer: D
Question: What least number must be added to 1078, so that the sum is completely divisible by 23 ?
Choices:
3
4
5
6
Answer: A
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?
Choices:
12 hours
76 hours
16 hours
81 hours
Answer: A
Question: If the average (arithmetic mean) of five consecutive negative integers is 8k – 1, what is the difference between the greatest and least of the five integers?
Choices:
4k^2 -4k
4-4k
4
4k+4
Answer: C
Question: Cereal A is 11% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Choices:
1:2
1:3
1:4
3:4
Answer: A
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 350 girls, the total number of
students in the college is
Choices:
520
620
910
None of these
Answer: C
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
Choices:
150 m
200 m
Data inadequate
none of these
Answer: A
Question: The number 91 is equal to the sum of the cubes of two integers. What is the product of those integers?
Choices:
12
21
27
39
Answer: A
Question: What percent of the year 2017 is 219 days?
Choices:
72%
64,5%
51%
60%
Answer: C
Question: What is the population standard deviation for the numbers: 75, 83, 96, 100, 121 and 125?
Choices:
18.2
25
26
28
Answer: A
Question: Find the odd man out. 1, 3, 9, 12, 19, 29
Choices:
12
1
3
29
Answer: A
Question: Zane and Thomas are among the 8 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 8 people if at least one of either Zane or Thomas is to be selected?
Choices:
46
55
63
70
Answer: B
Question: Thabo owns exactly 200 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?
Choices:
20
35
45
50
Answer: B
Question: Exactly 30% of the reporters for a certain wire service cover local politics in Country X. If 25% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Choices:
42%
60%
80%
84%
Answer: B
Question: For which of the following values of n is (900+n)/n NOT an integer?
Choices:
2
3
4
5
Answer: C
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $6,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
Choices:
3,500
25,500
26,500
27,500
Answer: A
Question: A is half good a work man as B and together they finish a job in 20 days. In how many days working alone B finish the job?
Choices:
30 days
17 days
18 days
19 days
Answer: A
Question: If a: b = 7: 5, b: c = 9: 11, find a: b: c?
Choices:
63: 45: 55
63: 45: 56
63: 45: 54
63: 45: 51
Answer: A
Question: Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 14% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit?
Choices:
120%
121%
138%
145%
Answer: C
Question: How many of the positive factors of 56 , 96 and how many common factors are there in numbers?
Choices:
4
3
1
5
Answer: A
Question: Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Choices:
5 1/3
7
7 1/5
8 4/7
Answer: D
Question: A large field of 700700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?
Choices:
365
385
315
355
Answer: C
Question: 0.1+ 0.1^2+0.1^3=
Choices:
0.111
0.1221
0.2341
0.3
Answer: A
Question: P and Q are the only two applicants qualified for a short-term research project that pays 360 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?
Choices:
$6
$9
$12
$15
Answer: A
Question: The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?
Choices:
2015
2014
2011
2010
Answer: C
Question: The contents of a certain box consist of 14 apples and 24 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
Choices:
18
14
17
20
Answer: A
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 15% profit on the first article and 15% loss on second article. Find the net profit or loss percent?
Choices:
150
282
202
270
Answer: A
Question: A grocer buys apples for 72¢ per pound. If 10% of the apples goes bad and he still wants to make a 20% profit over his purchase price, what should be the sales price?
Choices:
96¢
80¢
85¢
98¢
Answer: A
Question: The difference between a number and its three-fourth is 100. what is 25% of that number?
Choices:
100
125
150
None of these
Answer: A
Question: If each digit in the set of A = (1,2,3,4,5) is exactly used once, in how many ways can the digits be arranged such that the 2 and 5 are not adjacent?
Choices:
24
72
96
112
Answer: B
Question: A car covers a distance of 624 km in 6 Â½ hours. Find its speed?
Choices:
104 kmph
108 kmph
110 kmph
120 kmph
Answer: A
Question: Of the 12,210 employees of the anvil factory, 2/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
Choices:
13.67%
33%
28.6%
49.67%
Answer: A
Question: A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 25 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Choices:
300.
432.
502.
522.
Answer: A
Question: A company has 50 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Eight employees have done just two courses and only one made ​​the three courses. How many employees have no training?
Choices:
B)9
C)10
D)11
E)26
Answer: A
Question: A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent?
Choices:
6
8
5
4
Answer: D
Question: 529 is a perfect square. When x is added to the prime factor of 529, the result will give a perfect cube.then what is x?
Choices:
2
3
4
5
Answer: C
Question: In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?
Choices:
864
385
946
549
Answer: A
Question: Two numbers are in the ratio of 7:6. If 18 be subtracted from each, they are in the ratio of 6:5. Find the numbers?
Choices:
7,9
4,7
7,6
6,9
Answer: C
Question: A person bought apples at 10 for $1 and sold them at 4 for $1. Find his gain or loss percent?
Choices:
150%
100%
-50%
50%
Answer: A
Question: If n ≠ 0, which of the following must be greater than n?
I. 6n
II. n^2
III. 2 - n
Choices:
None
I and II only
II and III only
II only
Answer: D
Question: Line Q has the equation 5y – 3x = 75. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)
Choices:
52
56
60
64
Answer: B
Question: In a certain match all the teams were to play with each other. If there are 12 teams, how many matches will have to be played?
Choices:
45
66
90
None of the above
Answer: B
Question: A question paper has 2parts, A & B, each containing 10 questions. If a student has to choose 5 from part A &10 from part B, in how many ways can he choose the questions?
Choices:
120
125
350
252
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
120
130
150
160`
Answer: C
Question: If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
Choices:
3
4
5
7
Answer: A
Question: Find the missing figures :
?% of 30 = 2.125
Choices:
6.5
8.07
7.08
4.05
Answer: C
Question: A can run 3 Kms in 3 min 18 sec and B can run same distance in 3 min 40 sec, then by how much distance A can beat B?
Choices:
300 m
280 m
195 m
295 m
Answer: A
Question: In how many ways can the letters of word CAREER be arranged such that all the vowels as well as all the Consonants always appear together?
Choices:
3!*3!*2!
5!*5!
5!*4!*2!
6!*4!
Answer: A
Question: A major airplane manufacturer announced the sale of 150 small airliners at $125 million each, 75 medium sized airliners at $175 million each, and 60 large airliners at $220 million each. What percentage of the company's income came from large and medium airliners?
Choices:
41%
58%
69%
70%
Answer: B
Question: The length of each side of an equilateral triangle having an area of 4√3 cm2 is?
Choices:
1/9
1/5
1/23
1/2
Answer: B
Question: A tank is filled by 3 pipes A,B,C in 7 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?
Choices:
35hr
40hr
49hr
50hr
Answer: C
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
3
4
2
6
Answer: C
Question: In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 36, what will be his grade at the end of the third year?
Choices:
56
62
75
61
Answer: D
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Choices:
165 ways
197 ways
160 ways
162 ways
Answer: A
Question: A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?
Choices:
1/9
2/9
1/3
1
Answer: B
Question: In what ratio must tea at Rs.60 per Kg be mixed with tea at Rs.70 per Kg so that the mixture must be worth Rs.63 per Kg?
Choices:
3 : 2
4 : 3
7 : 3
None
Answer: C