antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two wheels are connected via a conveyor belt. The larger wheel has a 40cm diameter and the smaller wheel has a 32cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per minute in terms of r?
Choices:
1.25r
48r
24r
(64π)/3
Answer: A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Choices:
0 sq m
5 sq m
4 sq m
3 sq m
Answer: A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
5
54
1
Answer: A
Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is?
Choices:
82
40
27
29
Answer: B
Question: If the sum and difference of two numbers are 20 and 10 respectively, then the difference of their square is:
Choices:
28
160
200
18
Answer: C
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 5% p.a. was Rs.492. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
Choices:
Rs.4925
Rs.5390
Rs.5290
Rs.5292
Answer: D
Question: If p<0, which of the following must be true?
Choices:
p ≤ –1
p ≤ 1
p^2 ≥ 1/4
–100 < p < 0
Answer: B
Question: A man can row with a speed of 12 kmph in still water. If the stream flows at 11 kmph, then the speed in downstream is?
Choices:
28
20
82
23
Answer: D
Question: What is the minimum number of square marbles required to tile a floor of length 2 metres 89 cm and width 3 metres 74 cm?
Choices:
187
374
748
546
Answer: B
Question: If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 1
II. y = 0
III. x = 0
Choices:
II only
III only
I and III only
I, II, and III
Answer: B
Question: The sum of the numbers is 110. If the first number be twice the second and third number be one-third of the first, then the second number is:
Choices:
30
72
84
27
Answer: A
Question: If the sides of a triangle are 39 cm, 32 cm and 10 cm, what is its area?
Choices:
772
288
160
2848
Answer: C
Question: A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $250. Find the original price of petrol?
Choices:
$5
$45
$400
$5.5
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 21 sec. What is the length of the train?
Choices:
350
277
258
191
Answer: A
Question: Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 1w widgets.
Choices:
6
8
10
12
Answer: A
Question: Mark is playing poker at a casino. Mark starts playing with 120 chips, 20% of which are $100 chips and 80% of which are $20 chips. For his first bet, Mark places chips, 10% of which are $100 chips, in the center of the table. If 70% of Mark's remaining chips are $20 chips, how much money did Mark bet?
Choices:
$1,680
$1,540
$3,080
$2,640
Answer: A
Question: Walking at 75% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance?
Choices:
36
42
48
72
Answer: D
Question: Jason is 4 times older than Bob at present. 8 years ago Jason was 12 times older. How old are Bob?
Choices:
22
33
44
55
Answer: C
Question: Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 50 percent of the total number of employees work in research, how many male employees do NOT work in research?
Choices:
480
392
208
188
Answer: D
Question: For what value of 'm' will the quadratic equation x2 - mx + 4 = 0 have real and equal roots?
Choices:
8
2
-4
Choice (B) and (C)
Answer: C
Question: What is the place value of 6 in the numeral 6259
Choices:
B)2800
C)6000
D)2980
E)3000
Answer: B
Question: A jar contains 5 black and 2 white balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
Choices:
5/21
4/21
3/7
1/2
Answer: A
Question: This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 4 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 4 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?
Choices:
9P3
9C4
9C6
69
Answer: B
Question: if m>0 and y is m percent of x, then, in terms of m, x is what percent of y?
Choices:
b)1/100m
c)10000/m
d)10/m
e)1000/m
Answer: B
Question: Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $35.88. How much did the meal cost without the tip?
Choices:
$29.91
$30.15
$31.20
$30.85
Answer: C
Question: A man takes
5
5 hours
45
45 min in walking to a certain place and riding back. He would have gained
2
2 hours by riding both ways. The time he would take to walk both ways is
Choices:
7 hr 45 mins
4hr
8 hr 2 min
45 hr
Answer: A
Question: If the average of seven numbers is 35. If one is included. The average become 40. The included number is:
Choices:
75
76
78
79
Answer: A
Question: Forty ladies and fifty gentlemen are present at a party. There are 20 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be not be a couple?
Choices:
1/100
99/100
1/40
1/20
Answer: B
Question: Factory X's bulbs work for over 5000 hours in 75% of cases, whereas factory Y's bulbs work for over 5000 hours in 65% of cases. It is known that factory X supplies 70% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours?
Choices:
78%
77.4%
72%
73.9%
Answer: C
Question: A certain tire company can produce tires at a cost of $22,500 per batch plus $11 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000
tires is produced and sold, what is the company’s profit per tire?
Choices:
$7.50
$11.00
$13.50
$20.00
Answer: A
Question: A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
Choices:
589
630
240
210
Answer: C
Question: Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Friday, how many croissants will Marina eat on the 28th of that month?
Choices:
2
3
5
6
Answer: C
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 4 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10
8
12
7
Answer: D
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:
Choices:
14 years
77 years
88 years
99 years
Answer: A
Question: 64, 81, 100, 144, 196, ?, F ind the missing number(?).
Choices:
225
230
238
278
Answer: A
Question: A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
Choices:
12
15
19
65
Answer: C
Question: If 2x = 3y = 10, then 15xy = ?
Choices:
200
120
40
250
Answer: D
Question: The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
Choices:
24
27
30
32
Answer: B
Question: In a ratio which is equal to 2:4, if the antecedent is 50, then the consequent is?
Choices:
85
100
51
80
Answer: B
Question: The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (7,0) and (7,4). If a line through (4,4) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Choices:
2/5
4/7
1
-4
Answer: D
Question: Beginning in Town A, Biker Bob rides his bike 8 miles west, 5 miles north, 4 miles east, and then 15 miles north, to Town B. How far apart are Town A and Town B? (Ignore the curvature of the earth.)
Choices:
20.4 miles
30 miles
32 miles
33 miles
Answer: A
Question: A tourist purchased a total of $1,100 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,310
$1,290
$1,270
$870
Answer: D
Question: Find the cost of fencing around a circular field of diameter 40 m at the rate of Rs.3 a meter?
Choices:
370.4
376.98
340.9
350.03
Answer: B
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Choices:
22
12
24
None of these
Answer: C
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres?
Choices:
16 seconds
78 seconds
12 seconds
21 seconds
Answer: A
Question: The average monthly salary of 660 workers in a factory is Rs. 380. The average monthly salary of officers is Rs. 2100 and the average monthly salary of the other workers is Rs. 340. Find the number of other workers.
Choices:
645
640
642
none
Answer: A
Question: There are 6 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Choices:
120
225
180
200
Answer: B
Question: mixture contains alcohol and water in the ratio 4 : 3. If 4 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Choices:
20
27
22
29
Answer: A
Question: If the value of a piece of office decreases by 10% while the new tax rate on the office represent 110% of the original tax rate, what is the effect on the taxes?
Choices:
b- taxes increase by 1%
c- there is no change in taxes
d- taxes decrease by 1%
c- taxes decrease by 10%
Answer: C
Question: A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 16,200, then what is B's share in the profit?
Choices:
Rs. 3000
Rs. 4000
Rs. 5000
None of these
Answer: A
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1:96
2:29
1:38
1:97
Answer: A
Question: Connie has a number of gold bars, all of different weights. She gives the 24 lightest bars, which weigh 45% of the total weight, to Brennan. She gives the 13 heaviest bars, which weigh 26% of the total weight, to Maya. She gives the rest of the bars to Blair. How many bars did Blair receive?
Choices:
15
16
17
18
Answer: A
Question: If thrice the age of the son is added to the father then the sum would be 56. But if twice the age of father is added to the son then the total would be 72. Find the ages of father and son.
Choices:
32, 8
56, 72
72, 56
32, 4
Answer: A
Question: A box contains 8 red marbles, 6 green marbles & 10 pink marbles. One marble is drawn at random from box. What is the probability that the marble drawn is green?
Choices:
8/4
10/4
7/4
1/4
Answer: D
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
10 years
88 years
44 years
33 years
Answer: A
Question: If x > 0, which of the following could be true?
I. x^3 > x^2
II. x^2 = x
III. x^2 > x^3
Choices:
I & II
II & III
All of the above
None of the above
Answer: C
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
5
7
54
3
Answer: A
Question: Company A has an annual budget for a certain project, and 1/4 of this budget was spent during the first quarter of the year. If 1/8 of the remainder of the budget was spent during the second quarter, what fraction of the budget was left at the end of the second quarter?
Choices:
13/16
21/32
37/48
53/64
Answer: B
Question: Country X taxes each of its citizens an amount equal to 12 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income?
Choices:
$56,000
$64,000
$66,667
$80,000
Answer: A
Question: A professor will assign seven projects to three students. If two students each got 2 projects, and the other one got 3 projects, how many ways are possible?
Choices:
630
650
670
690
Answer: A
Question: If C + D = 9 and C and D are any numbers, which of the following is a possible value for 2C+3D?
Choices:
09
29
39
38
Answer: A
Question: A & B are two towns. A person covers the distance from A to B on cycle at 17kmph and returns to A by a boat running at a uniform speed of 8kmph. His average speed for the whole journey is
Choices:
12.33 km/h
10.75 km/h
10.88 km/h
10.78 km/h
Answer: C
Question: Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent E?
Choices:
80%
100%
180%
200%
Answer: B
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:
10
11
16
18
Answer: B
Question: To fill an art exhibit, the gents in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many gents are in the art class?
Choices:
120
240
320
400
Answer: B
Question: Each of the 20 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 12 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed?
Choices:
6
9
12
15
Answer: D
Question: fill in ht blank:(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,(b) to find the y-intercept of a line, we let ___ equal ___ and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___
Choices:
(a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for x ; to find x- intercept , we let y equal 0 and solve for y
(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let y equal z and solve for x ; to find x- intercept , we let x equal 0 and solve for z
(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x
none of the above
Answer: C
Question: Jack and Paul are running 1000m. Jack runs 1.5Km/hr faster than Paul but also finishes the race 1.5 sec earlier. What is the speed of Jack??
Choices:
20.61
22.61
23.61
24.61
Answer: A
Question: A shop keeper marked 20% above the cost price and offered 15% discount then find it's net profit?
Choices:
2%
8%
10%
15%
Answer: A
Question: If q is not equal to zero, andq+1/q = 3, then what is the value of q^4 + (1/q)^4?
Choices:
194
254
324
354
Answer: A
Question: Pipes A and B can fill a tank in 9 and 6 hours respectively. Pipe C can empty it in 18 hours. If all the three pipes are opened together, then the tank will be filled in?
Choices:
4 2/4 hrs
3 9/17 hrs
3 9/27 hrs
3 9/19 hrs
Answer: A
Question: A batsman had a certain average of runs for 16 innings. In the 17th innings, he made a score of 87 runs thereby increasing his average by 3. What is his average after 17 innings?
Choices:
39
266
278
221
Answer: A
Question: If x ≠ 0 and (y-x)/x=(y+x)/y, which of the following expressions is equal to its opposite?
Choices:
(x+y) (x-y)
y^2
(y + x)^2
(x – y)^2
Answer: A
Question: Approximately how many cubic feet of water are needed to fill a circular swimming pool that is 70 feet across and 9 feet deep?
Choices:
10000
20000
35000
45000
Answer: C
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is
Choices:
1/36
5/9
5/12
7/12
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) x^2-1=0 and (b) y^2+4y+3=0
Choices:
If x>=y
If x < y
If x<=y
x=y or relationship cannot be established
Answer: A
Question: After decreasing 50% in the price of an article costs Rs.1200. Find the actual cost of an article?
Choices:
50
2400
100
600
Answer: B
Question: In f is a positive integer smaller than 200 and (14f)/60 is an integer, then f has how many different positive prime factors?
Choices:
3
5
6
8
Answer: A
Question: The perimeter of a semi circle is 198 cm then the radius is?
Choices:
28
98
38.5
13
Answer: C
Question: . A boy has six trousers and 8 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
18
27
36
48
Answer: D
Question: (0.8)(power 3) - (0.5)(power 3)/ (0.8)(power 2) + 0.40 + (0.5)(power 2) is:
Choices:
0.5
0.35
0.3
None of them
Answer: C
Question: If the value of a piece of plaza decreases by 10% while the new tax rate on the plaza represent 110% of the original tax rate, what is the effect on the taxes?
Choices:
b- taxes increase by 1%
c- there is no change in taxes
d- taxes decrease by 1%
c- taxes decrease by 10%
Answer: C
Question: A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is:
Choices:
22 %
25 %
10 %
15 %
Answer: C
Question: A solution of cough syrup has 15% alcohol. Another solution has 5% alcohol. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% alcohol?
Choices:
5
15
20
25
Answer: C
Question: A librarian has a set of nine books, including four different books about Abraham Lincoln. The librarian wants to put the nine books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other five books. How many different arrangements of the nine books are possible?
Choices:
(4!)(5!)
(4!)(6!)
(4!)(9!)
(4!)(5!)(9!)
Answer: B
Question: Which of the following is a prime number ??
Choices:
81
89
93
10
Answer: B
Question: The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 55, then how long is the base of isosceles triangle?
Choices:
10
15
20
25
Answer: B
Question: One fourth of one third of two fifth of a number is 15. What will be40% of that number
Choices:
150
180
200
300
Answer: B
Question: Pipe A fills a tank of capacity 800 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full?
Choices:
48 minutes
39 minutes
40 minutes 20 seconds
None of these
Answer: A
Question: What was the day of the week on, 16th July, 1776?
Choices:
Monday
Tuesday
Friday
Sunday
Answer: B
Question: Each of the positive integers a and c is a four-digit integer. If each of the digits 0 through 9 appears in one of these three integers, what is the maximum possible value of the sum of a and c?
Choices:
18325
18365
18395
18485
Answer: C
Question: In a series of consecutive numbers, 26 is the eighth smallest number and 25 is the tenth largest number. What is the range of the series?
Choices:
30
31
16
14
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
Choices:
704 m
352 m
808 m
None of these
Answer: A
Question: Best friends Sprite and Icey have are playing a game of marbles. They invite 16 of their friends to play with them. There are 36 marbles in the bag. If all 18 people are playing, how many marbles does each person get?
Choices:
2
5
6
7
Answer: A
Question: If a 3-digit integer is selected at random from the integers 100 through 199, inclusive, what is the probability that the second digit is two greater than the first digit and the third digit is less than the second digit?
Choices:
3/100
2/103
2/150
1/50
Answer: A
Question: Find the odd man out
31, 37, 41, 45, 55, 58, 61, 67
Choices:
41
67
58
61
Answer: C
Question: The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
16 2/3% loss
16 3/3% loss
36 2/3% loss
56 2/3% loss
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
881
277
271
Answer: A
Question: A straight pipe 1 yard in length was marked off in halves and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
Choices:
1/6 and 1/3 only
1/6, 1/4, and 1/3
1/12, 1/6 and 1/4
1/12, 1/6, and 1/3
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 147,000, how many red beads were removed?
Choices:
4
3
2
0
Answer: C
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Choices:
400
168
286
268
Answer: A
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly five hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
Choices:
16/3
11/2
6
25/3
Answer: D
Question: The speed of a boat in upstream is 120 kmph and the speed of the boat downstream is 154 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
17
88
66
23
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 7 minutes, then the area of the park (in sq. m) is:
Choices:
153600
153602
117600
153604
Answer: C
Question: The sequence a1, a2, … , an, … is such that an=2an−1−x for all positive integers n ≥ 2 and for certain number x. If a5=99 and a3=27, what is the value of x?
Choices:
3
18
36
45
Answer: A
Question: The combined age of husband and wife on their 20th wedding anniversary was twice than it was at the time of wedding. If the husband is 3 years older than his wife. How old was he at the time of his marriage?
Choices:
21.5 years
31.5 years
21.7 years
61.5 years
Answer: A
Question: The length of a rectangle is three - 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:
240 sq.units
120 sq.units
130 sq.units
150 sq.units
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
299
285
161
212
Answer: B
Question: We have 7 people and 4 chairs. In how many ways chairs can be occupy?
Choices:
840
650
914
796
Answer: A
Question: A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
Choices:
2
9
7
9
Answer: A
Question: The function f is defined for all positive integers r by the following rule. f(r) is the number of positive integers each of which is less than r and has no positive factor in common with r other than 1. If x is any prime, number then f(x)=
Choices:
x-2
x-1
(x-1)/2
2
Answer: B
Question: What is the solution of the following simultaneous equations?
x + y + z = 6, x + 2y + 3z = 14 and x + 3y + z = 10
Choices:
3
8
1
2
Answer: A
Question: If 9 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
Choices:
237
387
400
481
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 $0.50 for every box, and if the university needs 2.4 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$250
$510
$1,250
$2,550
Answer: A
Question: Erica is four times as old as Blair. Nicole is three years older than Erica.
The sum of their ages is 21. How old is Erica?
Choices:
8
19
22
29
Answer: A
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 10 inclusive?
Choices:
840
1260
2520
5020
Answer: C
Question: Simplify: 1605 x 1605
Choices:
2576025
2657025
2756025
None of them
Answer: A
Question: Which of the following is a quadratic equation?
Choices:
x - 1)(x + 4) = x2 + 1
x4 - 3x + 5 = 0
(2x + 1)(3x - 4) = 2x2 + 3
None of these
Answer: C
Question: Two trains having length of 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions (on parallel tracks). The time which they take to cross each other, is
Choices:
10.8 s
9.8 s
8 s
7 s
Answer: A
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Choices:
100 m
190 m
200 m
220 m
Answer: A
Question: Suppose you flip a fair coin six times. What is the probability that, in six flips, you get at least one head?
Choices:
13/16
15/16
31/32
63/64
Answer: D
Question: How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 9 can be used only once?
Choices:
150
225
304
320
Answer: C
Question: P and Q can complete a work in 80 days and 48 days respectively. P alone started the work and Q joined him after 16 days till the completion of the work. How long did the work last?
Choices:
10 days
14 days
22 days
40 days
Answer: D
Question: A man sitting in a train which is travelling at 100 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
Choices:
62 kmph.
12 kmph.
80 kmph.
None
Answer: B
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 12 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
40 km/hr
60 km/hr
77 km/hr
46 km/hr
Answer: A
Question: Andy has 20 pairs of matched gloves. If he loses 16 individual gloves, which of the following is NOT a possible number of matched pairs he has left?
Choices:
11
13
14
15
Answer: B
Question: A 20% stock yielding 12% is quoted at:
Choices:
Rs. 167
Rs. 112
Rs. 120
Rs. 140
Answer: A
Question: [( 3.241 x 14 ) / 100] = ?
Choices:
0.045374
453.88
473.88
None of these
Answer: A
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 36.
Choices:
5
12
32
35
Answer: A
Question: If 3^8 x 3^7 = 3^n what is the value of n?
Choices:
18
17
16
15
Answer: D
Question: Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a three-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
Choices:
1/4
1/3
2/3
2/5
Answer: B
Question: Which of the following could be the sum of the reciprocals of two prime numbers?
Choices:
11/12
11/30
23/50
13/22
Answer: D
Question: When a person aged 39 is added to a group of n people, the average age increases by 2. When a person aged 15 is added instead, the average age decreases by 1. What is the value of R?
Choices:
7
9
10
11
Answer: A
Question: The ratio of the present age of Sandy to that of Molly is 7:2. Eight years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago?
Choices:
24
30
36
42
Answer: C
Question: In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 176 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
120
154
Answer: D
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
27
25
99
21
Answer: B
Question: What will be the cost of building a fence around a rectangle plot with area equal to 289 sq ft, and a = 1.7*b if the price per foot of building the fence is Rs. 58?
Choices:
B)Rs.3948
C)Rs.3988
D)Rs.4082.65
E)Rs.3923
Answer: C
Question: Set S has a mean of 16 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
Choices:
{9, 11}
{16, 16}
{10, 18}
{7, 13}
Answer: B
Question: In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?
Choices:
30% decrease
15% decrease
30% increase
55% increase
Answer: A
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
Rs. 7500
Rs. 9500
Rs. 10,000
None of these
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Choices:
24000
27778
27772
81122
Answer: A
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 4 different offices?
Choices:
16
7
8
9
Answer: A
Question: The average of first five prime numbers greater than 37 is?
Choices:
32.98
42.3
48.6
32.4
Answer: C
Question: If we write 1/7 as a decimal, what number holds the 50th digit's place to the right of the decimal?
Choices:
8
2
1
4
Answer: D
Question: A rectangular box of volume x has width, depth and height in the ratio of 2:3:3 (in that order). What is the width as a function of x?
Choices:
(x/2)^(1/2)
(x/3)^(1/2)
(2x/9)^(1/2)
(x)^(1/2)
Answer: C
Question: What is the probability that a 4 person committee chosen at random from a group consisting of 6 men, 4 women, and 5 children contains exactly 1 woman?
Choices:
44/91
11/77
308/1411
22/832
Answer: A
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B's share in the total profit of Rs.26,000 earned at the end of 2 years from the starting of the business?
Choices:
Rs.7800
Rs.9500
Rs.10,000
None
Answer: A
Question: A certain box has 9 cards and each card has one of the integers from 1 to 9 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 9 cards?
Choices:
1/15
1/18
1/9
2/9
Answer: B
Question: You collect pens. Suppose you start out with 20. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?
Choices:
40
65
42
43
Answer: B
Question: 6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days M do they need to finish the same job?
Choices:
3
5
6
7
Answer: A
Question: For any 5 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
II. Dividing each of the numbers by 3 and then adding the results together.
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9.
Choices:
II only
I and II only
II and III only
None of the above
Answer: B
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 400 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 5 units?
Choices:
40 sq.units
187 sq.units
607 sq.units
815 sq.units
Answer: A
Question: 200 college students were asked in a survey if they preferred Windows or Mac brand computers. 70 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 80 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
Choices:
50
57
60
75
Answer: A
Question: I bought two books; for Rs.300. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
175
189
278
268
Answer: A
Question: If the simple interest on a sum of money for 5 years at 9% per annum is Rs. 800, what is the compound interest on the same sum at the rate and for the same time?
Choices:
Rs. 957.55
Rs. 857.55
Rs. 657.55
Rs. 357.55
Answer: A
Question: Ratio between length and breath of a rectangle is 25:16. The area of the rectangle is same with a square whose side is 200. Find the breadth and length of the rectangle?
Choices:
140,300
100,300
160,250
100,200
Answer: C
Question: P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 3), the remainder is also D. If P/Q = 1020.75 and P/(Q + 3) = 816.6, then which of the following gives the correct set of {D, Q}?
Choices:
{6, 15}
{9, 12}
{9, 15}
{15, 24}
Answer: B
Question: 110 people are attending a newspaper conference. 45 of them are writers and more than 38 are editors. Of the people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number of people who are both writers and editors?
Choices:
32
30
26
28
Answer: C
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Choices:
400
600
800
550
Answer: A
Question: If y = 30p, and p is prime, what is the greatest common factor of y and 18p, in terms of p?
Choices:
2p
5p
6p
p^2
Answer: C
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is
Choices:
377
667
416
871
Answer: C
Question: A five-member committee is to be formed from a group of five military officers and nine civilians. If the committee must include at least two officers and two civilians, in how many different ways can the committee be chosen?
Choices:
1,200
3,240
3,600
14,400
Answer: A
Question: Look at this series: 75, 75, 70, 70, 65, 65, ... What number should come next?
Choices:
15
17
60
11
Answer: C
Question: If x is a positive integer less than 30, is 'x' an odd number?
Choices:
65
77
56
19
Answer: A
Question: A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. What is the remainder when nm is divided by 9?
Choices:
2
3
0
1
Answer: C
Question: A man can row with a speed of 5 kmph in still water. If the stream flows at 30 kmph, then the speed in downstream is?
Choices:
35
20
27
121
Answer: A
Question: 120 is what percent of 40 ?
Choices:
20%
50%
300%
500%
Answer: C
Question: How many times in a day, are the hands of a clock in straight line but opposite in direction?
Choices:
22
24
48
45
Answer: A
Question: The average age of 3 boys is 20 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
Choices:
15years
20years
25years
12years
Answer: D
Question: A cycle is bought for Rs.675 and sold for Rs.1080, find the gain percent?
Choices:
60
99
88
11
Answer: A
Question: A car travels at a speed of 65 miles per hour. How far will it travel in 4 hours?
Choices:
225 miles
260 miles
425 miles
525 miles
Answer: B
Question: A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Choices:
Rs. 534.60
Rs. 648
Rs. 655.60
Rs. 555
Answer: B
Question: Praveen starts business with Rs.3220 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
Choices:
s.8000
s.8280
s.9000
s.6000
Answer: B
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 54 km/hr, what is the length of the platform?
Choices:
240m
963m
874m
578m
Answer: A
Question: If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choices:
5/4
10/3
15/4
15/2
Answer: C
Question: If x≠6 and (x^2 - 36)/(2y) = (x - 6)/4, then in terms of y, x = ?
Choices:
(y - 3)/2
y - 3
(y - 12)/2
(y + 6)/2
Answer: C
Question: How many 4 digit odd numbers do not use any digit more than once
Choices:
2160
224
2460
None of these
Answer: D
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Choices:
6
8
7
9
Answer: C
Question: In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony?
Choices:
1:6
1:3
1:1
1ratio 3
Answer: D
Question: The population of a town increase annually by 20% . If the present population is 2,00,000, then what is the difference in population after two years and three years
Choices:
48,800
60,800
57,600
67,600
Answer: C
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount had been offered?
Choices:
27.675
30
Data inadequate
None of these
Answer: B
Question: The C.P of 8 books is equal to the S.P of 16 books. Find his gain% or loss%?
Choices:
50%
70%
90%
55%
Answer: A
Question: A train is running at a speed of 4040 km/hr and it crosses a post in 1818 seconds. What is the length of the train?
Choices:
160 metres
200 metres
120 metres
150 metres
Answer: B
Question: You are given with two ropes with variable width. However if we start burning both the ropes, they will burn at exactly same time i.e. an hour. The ropes are non-homogeneous in nature. You are asked to measure 45 minutes by using these two ropes.
How can you do it?
Please note that you can’t break the rope in half as it is being clearly stated that the ropes are non-homogeneous in nature.
Choices:
45 minutes
35 minutes
55 minutes
60 minutes
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
27
28
12
25
Answer: C
Question: List K consists of 12 consecutive integers. If -3 is the least integer in list K, what is the range of the positive integers in list K?
Choices:
6
7
11
12
Answer: B
Question: A train running at the speed of 162 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
286 meter
186 meter
405 meter
265 meter
Answer: C
Question: Which of these following integers is the square of an integer?
Choices:
49206101137
49471101241
49859101723
49323101988
Answer: B
Question: A soccer store typically sells replica jerseys at a discount of 60 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?
Choices:
25
30
40
50
Answer: D
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 3 hours, how many machines of type R were used?
Choices:
4
6
9
12
Answer: A
Question: One-seventh of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/15 of the non defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
Choices:
3.4%
4.5%
5.6%
6.7%
Answer: A
Question: Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 30 as remainder
Choices:
1456
1567
1632
1635
Answer: C
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.
Choices:
20 cm
30 cm
40 cm
50 cm
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 150 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
39
36
88
12
Answer: A
Question: Stacy and Heather are 20 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 2 mile per hour faster than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet?
Choices:
7 miles
9 miles
10 miles
12 miles
Answer: A
Question: Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 80 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute?
Choices:
9:25
5:8
25:9
Cannot be determined from the information provided
Answer: B
Question: By using the numbers 1, 2, 3, 5 and 7 only once, how many five digit numbers can be made that are divisible by 20?
Choices:
Not possible
4
6
8
Answer: A
Question: Kamal obtained 76, 60, 82, 67 and 85 marks(out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
69
74
75
NOne
Answer: B
Question: If 15% of A is the same as 20% of B, then A : B is :
Choices:
4 : 3
17 : 16
16 : 17
None of these
Answer: A
Question: Tom wants to buy items costing $25.35, $50.69, and $95.96. He earns $6.50 an hour doing
odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he
work to earn the money he needs for his purchases? Round your answer to the nearest whole
hour.
Choices:
29 hours
38 hours
18 hours
28 hours
Answer: A
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 Rs. 500 more than D, what is B's share?
Choices:
B)2900
C)1000
D)2393
E)2009
Answer: B
Question: If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:
Choices:
1:1
1:3
1:4
1:6
Answer: A
Question: 500 is increased by 30%. Find the final number.
Choices:
500
650
600
700
Answer: B
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Choices:
132
772
592
261
Answer: A
Question: If the President and Vice President must sit next to each other in a row with 4 other members of the Board, how many different seating arrangements are possible?
Choices:
240
300
360
720
Answer: A
Question: Find the average of first 10 natural numbers.
Choices:
B)9.9
C)7.5
D)6.6
E)5.5
Answer: D
Question: A store sells four different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy?
Choices:
6
7
8
9
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
35
36
37
38
Answer: B
Question: A train covers a distance of 12 km in 5 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
180m
240m
220m
280m
Answer: B
Question: The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 36 ?
Choices:
512
550
620
750
Answer: C
Question: Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 30 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?
Choices:
97%
100%
105%
120%
Answer: C
Question: How many words can be formed from the letters of the word ‘DIRECTOR’ So that the vowels are always together?
Choices:
2160
2161
2163
2134
Answer: A
Question: At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses R at the restaurant? (Assume that all boxes are filled to capacity.)
Choices:
240
R=256
R=384
R=480
Answer: D
Question: There are 9 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?
Choices:
16
28
56
72
Answer: D