antoine-444/aqua_rat_dataset huggingface dataset:
Question: What is the probability of getting a sum 9 from two throws of a dice?
Choices:
1/8
1/9
1/12
None
Answer: B
Question: The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red
Choices:
5.25%
6.125%
7.34%
8.43%
Answer: B
Question: Three cubes of metal whose edges are 5, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Choices:
77
17.3
18
99
Answer: B
Question: (3x + 4) (2x - 5) = ax^2 + kx + n . What is the value of a - n + k ?
Choices:
8
9
10
15
Answer: D
Question: A number is missing from the number series below.
Can you find it ?
84, 155, 258, ? , 584, 819.
Choices:
350
399
421
449
Answer: B
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40. What is the reduced price/dozen?
Choices:
3
7
8
12
Answer: A
Question: If 35% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
Choices:
330
572
430
880
Answer: B
Question: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
Choices:
1.44%
1.34%
4.44%
1.74%
Answer: A
Question: Eighteen dots are evenly spaced on the circumference of a circle. How many combinations of three dots can we make from these 18 dots that do not form an equilateral triangle?
Choices:
798
804
810
816
Answer: C
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 42 kmph?
Choices:
21.4 sec
25 sec
18 sec
17 sec
Answer: A
Question: What is the smallest positive integer x such that 108x is the cube of a positive integer?
Choices:
2
8
10
7
Answer: A
Question: Calculate the sum of first 89 natural numbers.
Choices:
2647
2147
2045
4005
Answer: D
Question: A and B can do a work in 18 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Choices:
360/13 days
160/13 days
260/13 days
960/13 days
Answer: A
Question: Einstein walks on an escalator at a rate of 5steps per second and reaches the other end in 10 sec. while coming back, walking at the same speed he reaches the starting point in 40secs. What is the number of steps on the escalator?
Choices:
80
28
17
11
Answer: A
Question: If n is a natural number, then (7(n2) + 7n) is always divisible by:
Choices:
14 only
7 only
7 and 14
NONE
Answer: C
Question: a * b = 2a - 3b + ab, then 3*5 + 5*3 = ?
Choices:
21
22
Bedford is at one end.
Mercedes is at one end.
Answer: D
Question: If |y + 5| = 8, what is the sum of all the possible values of y?
Choices:
-13
-8
-12
-10
Answer: D
Question: How many positive integers between 1 and 200 are there such that they are multiples of 17?
Choices:
11
13
10
8
Answer: A
Question: A discount of 10 percent on an order of goods followed by a discount of 20 percent amounts to
Choices:
the same as one 38 percent discount
the same as one 36 percent discount
the same as one 30 percent discount
the same as one 28 percent discount
Answer: D
Question: Divide Rs. 3364 between A and B, so that A's Share at the end of 5 years may equal to B's share at the end of 7 years, compound interest being at 5 percent.
Choices:
Rs. 1764 and Rs.1600
Rs. 1722 and Rs.1642
Rs. 1732 and Rs.1842
None of these
Answer: A
Question: A train passes a station platform in 37 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:
255
240
288
231
Answer: A
Question: A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many Q apples did each person get before 45 people joined the feast?
Choices:
21.
22.
23.
24.
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190 sec
170 sec
175 sec
195 sec
Answer: A
Question: A tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 3 cubic inches/min and the 2 outlet pipes empty it out at the rates of 12 cubic inches/min and 6 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)
Choices:
3456
4567
5678
6789
Answer: A
Question: In an exam, Libi scored 78 percent, Nibi scored 75 percent and Catherine 85 percent. The maximum score awarded in the exam is 1100. Find the average mark scored by all the three boys?
Choices:
873.66
871.22
872.67
870.2
Answer: C
Question: The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 3:2. If the oil bill for February had been $30 more, the corresponding ratio would have been 5:3. How much was the oil bill for January?
Choices:
$150
$180
$210
$240
Answer: B
Question: A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of B square inches. Which of the following equations must be true?
Choices:
2W^2 − PW + 2B = 0
2W^2 − PW − 2B = 0
W^2 + PW + B = 0
W^2 − PW + 2B = 0
Answer: A
Question: If the milk and water ware added in the ratio 5:4 then how much more water should be added so he gets the ratio of 6:7.
Choices:
11/6
7/6
11/5
5/11
Answer: A
Question: If n = 5p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: C
Question: A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.
Choices:
14
12
11
10
Answer: A
Question: What is the dividend? The divisor is 17, the quotient is 4 and the remainder is 8.
Choices:
76
176
671
0
Answer: A
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time
will they take to be 8.5km apart, if they walk in the same direction?
Choices:
16 hours
17 hours
18 hours
None of these
Answer: B
Question: A, B, C subscribe Rs. 50000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs.35000 A receives:
Choices:
Rs. 8400
Rs. 14700
Rs. 13600
Rs. 14600
Answer: B
Question: An aeroplane covers a certain distance of 670 Kmph in 6 hours. to cover the same distance in 6 1/4 hours, it Must travel at a speed of
Choices:
540
643
740
250
Answer: B
Question: Sum of Rs.4000 is given out in 2 pieces, one at 8% S.I. and the other at 10% S.I. If the annual interest is Rs 352, the sum is given at 8% is
Choices:
2200
2300
2400
None of these
Answer: C
Question: By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
Choices:
33 1/3%
33 3/3%
34 1/3%
73 1/3%
Answer: A
Question: What no. should be subtracted from x^3+4x2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Choices:
42
46
49
62
Answer: A
Question: A group of 10 representatives is to be selected out of 17 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Choices:
17C₇ * 10
17C12 * ¹⁰C₅
12 * ¹⁰C₅
None of these
Answer: B
Question: The mean of 80 observations was calculated as 55. It was found later on that one of the observations was misread as 64 instead of 46. The correct mean is
Choices:
54.7
60.3
42.7
None of these
Answer: A
Question: On Monday, Lou drives his vehicle with 25-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his vehicle to 32-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou's tires make per second?
Choices:
Decrease by 22%
Increase by 14.3%
Increase by 12.5%
Cannot be determined with the given information.
Answer: A
Question: What approximate value should come in place of the question mark (?) in the following equation?75.22 Ã— 6.12 â€“ 36.85 Ã— 6.54 = (40 + ?) Ã— 2
Choices:
69.6737
61.6737
68.6737
60.6737
Answer: A
Question: If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
Choices:
15
18
16
20
Answer: C
Question: A single discount equivalent to successive discount of 20%, 10% is
Choices:
28%
32%
76%
78%
Answer: A
Question: What number continues the following sequence?
759, 675, 335, 165, ?
Choices:
43
57
76
80
Answer: D
Question: There are thirty-four lines that are tangent to a circle, and these lines create regions in the plane. Can you tell how many of these regions are not enclosed ?
Choices:
74
37
77
68
Answer: D
Question: The average age 110 employees in a office is 40 years. Out of these, the average age of 65 employees is 45 years and that of the other 45 employees is 32 years. The age of the 110h employee is?
Choices:
35
45
32
40
Answer: A
Question: Find the odd man out. 945, 725, 642, 481, 514, 835
Choices:
725
642
481
None of these
Answer: C
Question: Krisp cereal is 10% sugar by weight. Brano cereal is 2% sugar by weight. If you wanted to make the mixture 4% sugar by weight what should the ratio of Krisp to Brano.
Choices:
1/3
1/4
1/5
1/6
Answer: A
Question: D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 200. Set D and Set E have how many numbers in common?
Choices:
1
3
5
0
Answer: D
Question: In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
57%
52%
22%
42%
Answer: B
Question: What is the greatest prime factor of 8^11 - 2^30?
Choices:
3
5
7
11
Answer: C
Question: The average of first 10 odd numbers is?
Choices:
10
98
66
88
Answer: A
Question: Sarah had 13 pieces of candy. She ate several pieces of the candy and noticed that the number of remaining pieces was a prime number. Which of the choices is a possibility for the number of pieces left?
Choices:
10 pieces
9 pieces
8 pieces
7 pieces
Answer: D
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Choices:
637 km
342 km
300 km
543 km
Answer: C
Question: Numbers like 12345, 13542 and 21435 are some of the 120 different arrangements that can be made from the digits 1, 2 , 3, 4 and 5. If all 120 arrangements are placed in ascending manner, what will be the 87th number?
Choices:
53215
45215
43215
63215
Answer: C
Question: If 3/p=4 & 3/q=18 then p-q=?
Choices:
7/12
7/24
8/24
9/24
Answer: A
Question: An IT company wants to hire 500 candidate, and each candidate is either engineer, manager, or peon . If it wants to hire 300 more engineers than managers, and twice as many peons as managers. how many engineers does The company want to hire ?
Choices:
320
330
340
350
Answer: D
Question: A boy buys 18 sharpners, (Brown/white) for Rs.100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener and how much did he buy?
Choices:
3,6
2,3
22,2
12,1
Answer: A
Question: In a certificate by mistake a candidate gave his height as 10% more than actual height. In the interview panel, he clarified that his height was 5 feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?
Choices:
6.5
8
9
5
Answer: A
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
4991
6001
7001
7999
Answer: A
Question: The average of 50 numbers id 50. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
Choices:
33
22
41
50
Answer: D
Question: What number is logically missing from the sequence below?
348269, 284315, ****, 8438, 4811
Choices:
84382
48114
28437
34826
Answer: D
Question: If l is an integer, what is the greatest possible value for l that would still make the following statement true: 11*10^l < 1/10 ?
Choices:
–3
–2
–1
0
Answer: A
Question: The average weight of 16 boys in a class is 50.25 kgs and that of the remaining 8 boys is 45.15 kgs. Find the average weight of all the boys in the class.
Choices:
48 kgs
48.55 kgs
49.25 kgs
None of these
Answer: B
Question: At a certain college there are three as many English majors as history majors and two times as many English majors as mathematics majors. What is the ratio of the number of mathematics majors to the number of history majors?
Choices:
3 to 5
2 to 3
3 to 2
1 to 6
Answer: C
Question: The simple interest on a sum of money will be Rs.1400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
2800
1200
2693
1732
Answer: A
Question: Find the average of all the numbers between 11 and 34 which are divisible by 5?
Choices:
20
22
30
15
Answer: B
Question: A can finish a work in 72days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
Choices:
30days
6days
7days
8days
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Choices:
432
297
200
267
Answer: A
Question: Two trains each 190m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 65km/h while the other travels at 50km/h. how long will it take for them to pass each other completely.
Choices:
2.7 sec
11.9 sec
12.7 sec
25.7 sec
Answer: B
Question: There are 5 periods in each working day of a school. In how many ways can one organize 4 subjects such that each subject is allowed at least one period?
Choices:
240
260
280
None of these
Answer: A
Question: A box contains 2 white balls, 3 black ball and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
Choices:
48
64
96
54
Answer: B
Question: A shopkeeper sells 20% of his stock at 20% profit ans sells the remaining at a loss of 10%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Choices:
16000
15000
17000
20000
Answer: B
Question: If it would take one machine 10 minutes to fill a large production order and another machine 18 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
Choices:
5
5 5/11
6 3/7
11
Answer: C
Question: If the price of an item is decreased by 40% and then increased by 20%, the net effect on the price of the item is
Choices:
No change
A decrease of 1%
A increase of 1%
A decrease of 28%
Answer: D
Question: If g,h,i,j represents the result gotten when the figure 8236.186 is rounded off to the nearest thousand, hundred ten and one, which of the following statements is correct?
Choices:
g<g<h<i
g<h<j<i
i<h<j<g
g<i<j<h
Answer: B
Question: what is the 50th term of term of the series 1,3,6,10,15,21?
Choices:
1270
1275
1280
1285
Answer: B
Question: A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 9:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Choices:
35
34
38
40
Answer: B
Question: Given that 268 * 74 = 19832, find the values of 2.68 * 0.74.
Choices:
1.9832
1.9823
1.9382
None of them
Answer: A
Question: The average weight of 7 person's increases by 3.5 kg when a new person comes in place of one of them weighing 75 kg. What might be the weight of the new person?
Choices:
78.5 kg
99.5 kg
Data inadequate
None of these
Answer: B
Question: Peter invested a certain sum of money in a simple interest bond whose value grew to $100 at the end of 2 years and further to $200 at the end of another 4 years. What was the rate of interest in which he invested his sum?
Choices:
50%
10%
30%
18%
Answer: A
Question: In how many different ways can the letters of the word 'SINGING' be arranged in such a way that the vowels always come together?
Choices:
B)480
C)720
D)5040
of these
Answer: B
Question: In a dairy farm, 26 cows eat 26 bags of husk in 26 days. In how many days one cow will eat one bag of husk?
Choices:
40
20
26
30
Answer: C
Question: A certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
270
140
165
315
Answer: A
Question: In a certain company, a third of the workers do not have a retirement plan. 50% 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 120 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
156
210
Answer: C
Question: The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 130 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. If 3/4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire?
Choices:
120
160
360
520
Answer: D
Question: Peter and Tom shared the driving on a certain trip. If Peter and Tom both drove for the same amount of time, but Peter only drove 3/5 of the total distance, what was the ratio of Peter's average speed to Tom's average speed?
Choices:
3:2
1:2
3:5
2:3
Answer: A
Question: P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
Choices:
Rs.70
Rs.90
Rs.100
Rs.120
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
27992
28872
29982
Answer: A
Question: if length of a room is three times of its breadth and its area is 12 sq.m.what is perimeter of room?
Choices:
18 m
24 m
16 m
none of the above
Answer: C
Question: The curved surface of a sphere is 64 π cm2. Find its radius?
Choices:
3
4
9
7
Answer: B
Question: A train passes a station platform in 35 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:
225
240
288
231
Answer: A
Question: A school’s annual budget for the purchase of student computers increased by 32% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Choices:
5%
10%
12%
6%
Answer: B
Question: A can give B 60 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
148.94
148.22
111.0
111.12
Answer: A
Question: The respective ages of father and his son are 47 and 16 years. In how many years will the father be twice as old as his son ?
Choices:
9 years
10 years
15 years
12 years
Answer: C
Question: In how many ways a committee consisting of 3 men and 2 women can be formed from 4 men and 3 women?
Choices:
10
20
18
21
Answer: A
Question: What is the greatest positive integer x such that 7^x is a factor of 343^10?
Choices:
9
10
20
30
Answer: D
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Choices:
10
50
40
30
Answer: D
Question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
80,80 kmph
80,42 kmph
90,50 kmph
83,40 kmph
Answer: C
Question: If x and y are non-zero integers, and 64x^4 – 4y^4 = 8x^2 + 2y^2, which of the following could be the value of x2 in terms of y?
Choices:
2y
2y^2/8
2y^2-1/8
2y^2+1/8
Answer: D
Question: Which of the following is satisfied with |x-4|+|x-3|<3?
Choices:
2<x<5
4/3<x<10/3
4/3<x<4
3<x<4
Answer: A
Question: After deducting a commission of 5%, a T.V. set costs $9595. Its market price is ?
Choices:
10100
21200
21000
11000
Answer: A
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190 Sec
279 Sec
978 Sec
627 Sec
Answer: A
Question: The length and breadth of a rectangle is increased by 10% and 30% respectively. What is the increase in the area?
Choices:
43.0
43.5
45.0
42.0
Answer: A
Question: A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2?
Choices:
2/4
1/2
1/3
2/3
Answer: C
Question: The average of 10 consecutive integers is 20. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
Choices:
14.5
15
15.5
16
Answer: C
Question: In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Choices:
24
42
46
48
Answer: A
Question: A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 20% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Choices:
$38.50
$39.20
$39.50
$40.60
Answer: A
Question: What is the average of xx, 2x2x, and 66?
Choices:
x+2x-2
x+2x+2
x+2
x+2x
Answer: B
Question: A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $2.15?
Choices:
1120
1260
1420
1670
Answer: D
Question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 72 m long cloth in
Choices:
2 days
3 days
4 days
5 days
Answer: A
Question: In a 400 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
Choices:
81
145
143
141
Answer: A
Question: A can work four times as fast as B. Together they can finish a job in 10 days. In how many days can A complete the job alone?
Choices:
12.5
13.5
14.5
15.5
Answer: A
Question: On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
Choices:
16 1/6%
16 2/3%
20%
30%
Answer: B
Question: An arithemetic sequence of numbers begins p, 2p + 1, 4p + 2... What is the 14th member of this sequence?
Choices:
B)40
+ 13
D)53
+ 13
Answer: A
Question: Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 50 percent of the cards for himself and split the remaining cards evenly among his 5 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 5 younger brothers to get an equal number of cards?
Choices:
110
116
118
122
Answer: A
Question: What percentage of numbers from 1 to 60 have 1 or 9 in the unit's digit?
Choices:
14.11
18.33
20
21
Answer: B
Question: The H.C.F. of two numbers is 5 and their L.C.M. is 150. If one of the numbers is 25, then the other is:
Choices:
30
24
20
35
Answer: A
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 30,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?
Choices:
$ 240,000
$ 360,000
$ 450,000
$ 540,000
Answer: A
Question: x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 12. Which of the following is NOT a possible value for y + b?
Choices:
21
18
17
15
Answer: B
Question: 8 men, working 8 hours a day can complete a work in 24 days. How many hours a day must 12 men work to complete the same work in 16 days?
Choices:
7
8
9
10
Answer: B
Question: I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation Z to least standard deviation in which of the following?
Choices:
II, I, III
II, III, I
III, I, II
III, II, I
Answer: A
Question: Find the remainder of 1421 x 1423 x 1425 when divided by 12
Choices:
1
2
3
4
Answer: C
Question: 1000 men have provisions for 15 days. If 300 more men join them, for how many days will the provisions last now?
Choices:
11.5
12.6
12.2
12.1
Answer: A
Question: 9548 + 7314 = 3362 + (?)
Choices:
8400
13500
8700
9000
Answer: B
Question: The distance between A&B is 450km. A person is traveling from A to B at 70km/hr started at 9AM and another person is traveling from B to A at 80km/hr and started at same time. Then at what time they meet together.?
Choices:
A)12PM
C)1PM
D)3PM
E)5PM
Answer: A
Question: In how many ways can you seat 8 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Choices:
1720
25200
5040
10080
Answer: B
Question: If 3x−y=27 and 3x+y=243, then find the value of x
Choices:
2
3
4
5
Answer: C
Question: John, Mac and Tonny together can do a work in 20 days. John alone can do the work in 80 days and Mac alone can do the same work in 70 days. Find in what time Tonny alone can do that work?
Choices:
43.08days
53.80days
35days
44.50days
Answer: A
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:
180 meters
324 meters
150 meters
None of These
Answer: C
Question: For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 3*/4* ?
Choices:
5/4
4/5
1/4
1/5
Answer: A
Question: The ratio of the volumes of two cubes is 27 : 125. What is the ratio of their total surface areas?
Choices:
9 : 25
81 : 124
81 : 126
81 : 129
Answer: A
Question: a+2b=6,ab=4
2/a + 1/b=?
Choices:
3/2
7/2
9/2
11/2
Answer: A
Question: In a competitive examination in State ASS, 3% candidates got selected from the total appeared candidates. State BI had an equal number of candidates appeared and 5% candidates got selected with 12 more candidates got selected than ASS. What was the number of candidates appeared from each State?
Choices:
250
300
1200
789
Answer: C
Question: There are 250 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:
425
625
700
None of these
Answer: B
Question: Let the function W(n) represent the product of the first n prime numbers, where n > 0. If x = W(n) + 1, which of the following must be true?
(i) x is always odd
(ii) x is always prime
(iii) x is never the square of an integer
Choices:
iii only
i and ii only
i and iii only
ii and iii only
Answer: C
Question: What should come in place of the question mark (?) in each of the following questions ?
12 + 22 + 32 + ... + 102 = ?
Choices:
625
380
385
370
Answer: C
Question: A certain country is divided into 4 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/12 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?
Choices:
1/3
1/2
2/3
3/4
Answer: D
Question: The product of all the prime numbers less than 50 is closest to which of the following powers of 10 ?
Choices:
10^8
10^7
25*10^6
10^5
Answer: C
Question: 108.	Triangle A’s base is 20% greater than the base of triangle B, and A’s height is 20% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
Choices:
0.25 % less
Equal to each other
1 % more
9 % more
Answer: A
Question: An employee’s annual salary was increased $15,000. If her new annual salary now equals $90,000, what was the percent increase?
Choices:
16 2⁄3%
20%
22%
24%
Answer: B
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
67 seconds
40 seconds
67 seconds
54 seconds
Answer: B
Question: If Yury has been writing programming code for 13 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written?
Choices:
117(10^2)
12.6(10^5)
1.26(10^7)
.126(10^9)
Answer: A
Question: Without stoppages a train travels a certain distance with an average speed of 60 kmph and with stoppages it covers the same distance with an average speed of 20 kmph. What is the time in minutes per hour for which train stops?
Choices:
35 min/hr
40 min/hr
45 min/hr
50 min/hr
Answer: B
Question: The average age of father and his two sons is 18 Years. Five years ago, the average age of the two sons was 11 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
Choices:
22
25
28
49
Answer: A
Question: A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs. 360 more. Find the sum.
Choices:
6000
2000
4000
None of them
Answer: A
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 26,000 is made?
Choices:
Rs. 1,20,000
Rs. 1,22,000
Rs. 1,21,000
None of these
Answer: B
Question: A man is 16 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
14 years
16 years
18 years
26 years
Answer: A
Question: If p/q =4/5, then the value of 4/7 + {(2q - p) / (2q + p)} is ?
Choices:
34
1
2
3
Answer: B
Question: A person was going through train from Bombay to Pune. After every five minutes he finds a train coming from opposite direction. Velocity of trains are equal of either direction. If the person reached Pune in one hour then how many trains he saw in the journey ?
Choices:
10
11
12
13
Answer: B
Question: Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
Choices:
18
27
29
21
Answer: A
Question: How much water must be added to 56 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Choices:
12 litres
14 litres
18 litres
None of these
Answer: B
Question: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Choices:
20
18
12
6
Answer: C
Question: Increasing the original price of an article by 5 percent and then increasing the new price by 5 percent is equivalent to increasing the original price by
Choices:
10.25%
14.75%
15.15%
16.25%
Answer: A
Question: S1 = 7 S2 = 10 ... Sn = 3n + 4 For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50?
Choices:
12
16
14
15
Answer: B
Question: In a particular library there are 5 computer clusters open for public use. Each Computer Clusters has 40 Tablets. In the 1st week, 75 tablets are used, while 155 tablets are used in the second week, 30 in the third week & 140 in 4th week. Approximately what fraction of the library's computer facilities are in use per month?
Choices:
1/4
1/2
2/3
2/5
Answer: B
Question: If 4a = 16b and 6b = 13c, Find a:b:c?
Choices:
52:13:6
7:13:52
7:13:54
None of these
Answer: A
Question: A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Choices:
20 years
77 years
44 years
99 years
Answer: A
Question: Palindromes are words or phrases that read the same in both directions, e.g. EYE Now consider the word LEVEL, such a word is known as palindromes. Find the maximum possible number of five letter palindromes.
Choices:
17566
17576
17655
None
Answer: B
Question: The sum of 77 consecutive integers is 7777. What is the greatest integer in the set?
Choices:
139
143
145
147
Answer: A
Question: The sum of two numbers is 40 and their product is 400. What will be the sum of their reciprocals?
Choices:
8/75
75/4
75/8
1/10
Answer: D
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 25 years. The present age of the husband is
Choices:
30
45
55
65
Answer: A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
178 cm
800 cm
287 cm
976 cm
Answer: B
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 9 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
25
30
45
50
Answer: C
Question: By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Choices:
116.11
116.19
116.66
116.1
Answer: C
Question: In a game of 100 points, A can give B 20 points and C 25 points. then how many points can B give C in a game of 70?
Choices:
4.38
7.38
8.38
9.38
Answer: A
Question: Y is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in Y?
I. 9
II. 15
III. 27
Choices:
II only
I and II only
I and III only
I, II, and III
Answer: B
Question: How many five digit numbers can be formed by using the digits 0,1,2,3,4,5 such that the number is divisible by 4?
Choices:
144
154
164
174
Answer: A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
15 min
24 min
12 min
8 min
Answer: C
Question: If m, n, and o are positive numbers such that (m/(m+n))(10) + (n/(m+n))(20)=o and if m<n which of the following could be the value of o?
Choices:
12
15
18
36
Answer: C
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 48km/h, what is the circumference of the tire?
Choices:
2 meters
5 meters
3 meters
7 meters
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
17 Kmph
72 Kmph
18 Kmph
16 Kmph
Answer: B
Question: A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?
Choices:
1
0.25
0.5
0.58
Answer: B
Question: If a man walks at a rate of 5kmph, he misses a train by 7minutes. However, if he walks at the rate of 6kmph, he reaches the station 5minutes before the arrival of the train. Find the distance covered by him to reach the station.
Choices:
4
15
6
12
Answer: C
Question: Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?
Choices:
98
25
29
27
Answer: B
Question: A sum of money becomes double itself in 6 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
3 1/3
2 1/4
3 1/4
4
Answer: A
Question: Pipe A fills a tank in 12 minutes. Pipe B can fill the same tank 3 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
Choices:
6 mins
5 mins
3 mins
7 mins
Answer: C
Question: Three pairs of siblings, each pair consisting of one girl and one boy, are randomly seated at a table. What is the probability that all three girls are seated on the left of their boy siblings?
Choices:
1/4
1/6
1/8
1/16
Answer: C
Question: Holly,Paul,Anne and Jim are rehearsing a dance routine. How many different ways can you arrange the 4 dancers in a line if Anne must be first or second
Choices:
12
13
14
15
Answer: A
Question: There are 25 students in a class. Find the numbers of ways in which a committee of 3 students is to be formed?
Choices:
1800
2300
3256
2863
Answer: B
Question: Which of the following options represents an approximate value for the question mark (?) in the following equation? 65.321 + 22.4 × 3.2 + ? = 502.871
Choices:
509.2
504.2
549.2
506.2
Answer: A
Question: Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 12 more photos than Claire. How many photos has Claire taken?
Choices:
6
10
12
14
Answer: A
Question: A red ant is sitting on one side of a table (point X) and a black ant is sitting on the opposite side of the table (point Y). Now both of them decides to exchange their places and starts crawling. On the way, both of the ants meet and after that, it takes 20 seconds for the Red ant to move to point Y and it takes 5 seconds for the Black ant to reach point X.
Find out the total time taken by the Red and the Black ant to make the journey.
Choices:
30 and 15 seconds
20 and 15 seconds
25 and 15 seconds
5 and 15 seconds
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 1 year each is 50 years. what is the age of the youngest child ?
Choices:
8
10
99
38
Answer: A
Question: In the recent, religious conference in India, out of 1100 men, 900 women, 600 children present inside the building premises, 50% of the men, 40% of the women and 30% of the children were Christian. Find the percentage of people who were not Christian?
Choices:
58.08%
55.23%
63.25%
61.45%
Answer: A
Question: Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 12% 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%
133%
140%
Answer: C
Question: Machine–A produces 50% of the total output and Machine-B produces 75% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 250 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Choices:
0.006
0.07
0.08
0.09
Answer: A
Question: A bag contains equal number of 25 paise, 50 paise and one rupee coins respectively. If the total value is Rs 105, how many types of each type are present?
Choices:
60 coins
30 coins
25 coins
15 coins
Answer: A
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 40% on the cost price?
Choices:
69.5
67.5
62.5
70
Answer: D
Question: A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m2 ?
Choices:
Rs.57
Rs.55
Rs.52
Rs.53
Answer: A
Question: A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air?
Choices:
253 mph.
296 mph.
278 mph.
235 mph.
Answer: A
Question: A man can row upstream at 10kmph and downstream at 12kmph. Find man's rate in still water ?
Choices:
11km/hr
10km/hr
20km/hr
7.5km/hr
Answer: A
Question: A lump of two metals weighing 18 g is worth Rs. 87 but if their weight is interchanged, it would be worth Rs. 78.60. If the price of one metal be Rs. 6.70 per gram, find the weight of the other metal in the mixture.
Choices:
8g
15g
18g
None
Answer: A
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
77
20
99
71
Answer: B
Question: In a deck of 52 cards, how many ways are there to select 13 Spade and 13 heart cards without repetition?
Choices:
169
171
172
173
Answer: A
Question: A completes a work in 10 days and B complete the same work in 15 days. If both of them work together, then the number of days required to complete the work will be
Choices:
9 days
10 days
6 days
13 days
Answer: C
Question: By selling 20 pencils for a rupee a man loses 60%. How many for a rupee should he sell in order to gain 60%?
Choices:
9
7
6
5
Answer: D
Question: In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
1.9 sec
3.8 sec
6.9 sec
2.9 sec
Answer: B
Question: If x is a whole number, then x2(x2-1) is always divisible by:
Choices:
12
36
48
26
Answer: A
Question: If each and every term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 350, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: B
Question: 6) A marketing firm determined that , of 260 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?
Choices:
b) 20
c) 30
d) 40
e) 45
Answer: B
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate?
Choices:
480
360
280
420
Answer: A
Question: Solve the quickfire maths brain teaser âˆš4% = ?
Choices:
40%
85%
19%
20%
Answer: D
Question: A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $2,250 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week?
Choices:
30%
35%
40%
45%
Answer: B
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:1
1:3
3:1
1:4
Answer: A
Question: In a public show 62 % of the seats were filled. If there were 600 seats in the hall, how many seats were vacant?
Choices:
110
120
140
228
Answer: D
Question: Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions:
The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow.
The paint will be namedBrun Xif the paint contains 3 jars of brown paint.
The paint will be namedJaune Xif the paint contains at least 2 jars of yellow.
The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow.
What is the probability Q that the new color will be one of theJaunecolors?
Choices:
37/42
1/21
4/9
5/9
Answer: A
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 9km apart, if they walk in the same direction?
Choices:
16 hours
17 hours
18 hours
19 hours
Answer: C
Question: X can finish a work in 15 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
Choices:
5
4
7
8
Answer: A
Question: solve the given equation 9^y = 3^12, what is y?
Choices:
3
4
5
6
Answer: D
Question: 100 identical coins each with probability "p" showing up heads & tossed. If 0 then show the number of heads?
Choices:
41/101
51/101
87/101
98/101
Answer: B
Question: Abby, Brandon, Cedric, and Deirdre are planning to attend a concert. If their friend Kim also goes with them, they will get a group discount on their tickets. If the total price of the tickets with the group discount is the same as the total price of the tickets without the group discount, how much is the discount?
Choices:
10%
20%
25%
33%
Answer: B
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 5600. What was Simran share in the profit?
Choices:
s 2400
s 10500
s 11000
s 1400
Answer: A
Question: What is the area of a square field whose diagonal of length 28 m?
Choices:
289
200
112
392
Answer: D
Question: The second of two numbers is two less than three times the first. Find the numbers if there sum is
26.
Choices:
7-19
10-16
15-9
20-6
Answer: A
Question: A money lender lent a total of $1600 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1600, how much did he lend to each of the two customers?
Choices:
1072; 528
1000; 800
1200; 800
None of the above
Answer: A
Question: In a certain neighborhood, there are half as many beige houses as white houses, and six times as many white houses as brown houses. What is the ratio of the number of brown houses to the number of beige houses?
Choices:
1:3
2:5
5:3
6:1
Answer: A
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 260 m long?
Choices:
22 Seconds
41 Seconds
24 Seconds
29 Seconds
Answer: C
Question: Machine P and Machine Q are each used to manufacture 440 sprockets. It takes Machine P 10 hours longer to produce 440 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Choices:
4
6
8
10
Answer: A
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Choices:
15
11
16
12
Answer: A
Question: Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 4 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?
Choices:
105
78
75
36
Answer: C
Question: In how many ways Chief Minister and Minister be elected froma team of 12 members?
Choices:
124
132
135
139
Answer: B
Question: When positive integer x is divided by positive integer y, the result is 59.32. What is the sum R of all possible 2-digit remainders for x/y?
Choices:
616
672
728
784
Answer: A
Question: An amount of money was lent for 3 years. What will be the difference between the simple and the compound interest earned on it at the same rate?
I.	The rate of interest was 8 p.c.p.a.
II.	The total amount of simple interest was Rs. 1200.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: D
Question: When positive integer v is multiplied by positive integer n, the units digit of the product is 3. Which of the following are factors of n?
I. 8
II. 15
III. 30
Choices:
II only
I and II only
II and III only
None of the above
Answer: D