antoine-444/aqua_rat_dataset huggingface dataset:
Question: What is the area of square field whose side of length 18 m?
Choices:
186 sq m
586 sq m
324 sq m
296 sq m
Answer: C
Question: How many ways are there to split a group of 12 students into two groups of 6 students each? (The order of the groups does not matter)
Choices:
262
384
462
512
Answer: C
Question: From the given equation find the value of x: x² − 3x + 2
Choices:
1
2
3
6
Answer: B
Question: A woman has 7 daughters and they each have a brother, how many children does she have?
Choices:
8
9
5
3
Answer: A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
168 sec
197 sec
191 sec
Answer: A
Question: A die is rolled twice. What is the probability of getting a sum equal to 9?
Choices:
1/9
3/9
7/4
2/7
Answer: A
Question: A and Bâ€™s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is Aâ€™s salary?
Choices:
Rs.750
Rs.1250
Rs.1500
Rs.2000
Answer: C
Question: Ramu bought an old car for Rs. 35000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
B)16%
C)18%
D)30.7%
of these
Answer: C
Question: Bob bikes to school every day at a steady rate of b miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home?
Choices:
2(b + t) / by
2byt / (b + y)
2(b + y + t) / by
x(y + t) + y(x + t)
Answer: B
Question: There are between 100 and 110 marbles in a collection of cards. If they are counted out 3 at a time, there are 1 left over, but if they are counted out 4 at a time, there is 4 left over. How many marbles are in the collection?
Choices:
100
106
108
109
Answer: A
Question: Adding two non multiples of C always results in a multiple of C; which of the following must be the value of C ?
Choices:
[A] two
[C] five
[D] ten
[E] hundred
Answer: A
Question: A bag contains 5 red, 4 blue and 3 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/23
5/33
4/27
3/23
Answer: B
Question: Johnny borrows $40,000 from Tony at 4% daily interest compounded daily. How much does Johnny owe Tony after 8 weeks?
Choices:
30000*1.12
40000*2.12
40000*1.04^56
(40000*1.02)^56
Answer: C
Question: What least no. must be subtracted from 427398 so that remaining no.is divisible by 15?
Choices:
723437481
354595321
964564944
458449909
Answer: A
Question: Of the teams competing in the world archery championships, Fifty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Choices:
15/20
13/15
3/20
4/20
Answer: D
Question: Light glows for every 17 seconds . How many times did it between 1:57:58 and 3:20:47 am
Choices:
292
293
384
285
Answer: B
Question: A rectangular field has a length 10 feet more than it is width. If the area of the field is 264, what are the dimensions of the rectangular field?
Choices:
22
24
25
26
Answer: A
Question: The average of first three prime numbers greater than 5 is?
Choices:
12.9
22.3
10.3
12.7
Answer: C
Question: What is the tens digit of 6^20?
Choices:
3
5
7
9
Answer: C
Question: 96% of the population of a city is 23040. Find the total population of the city?
Choices:
28000
24000
25000
25500
Answer: B
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
224 km
230 km
232 km
234 km
Answer: A
Question: If k is the greatest positive integer such that 3^k is a divisor of 21! then k =
Choices:
4
5
6
9
Answer: D
Question: Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 3 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2010, a newborn Khazarian 1 year later, and a newborn Livonian 1 year after that, in what year will the sum of the dog-year ages of the Akkadian and the Khazarian first be exceeded by twice the age of the Livonian in dog years, rounding all ages down to the nearest integer?
Choices:
2014
2015
2016
2017
Answer: A
Question: My 5 sons are enrolled in an army's platoon of 80 men. The General is choosing randomly 2 men to a suicide mission. What is the probability of both of the selected men will be two of my sons?
Choices:
2/80
5/80
1/316
2/316
Answer: C
Question: Ganet has to pay back her bank loan over 6 months following the below sequence.
$50, $55, $65, $80, $85, ?
How much will she pay back on the sixthmonth?
Choices:
$145
$95
$125
$130
Answer: B
Question: a man owns 1/3 of market reserch beauro buzness,and sells 3/5 of his shares for 2000rs,what is the value of buzness?
Choices:
60000
10000
25000
50000
Answer: B
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 25 hours and 81 hours respectively. The ratio of their speeds is:
Choices:
4 : 3
9 : 5
9 : 16
None of these
Answer: B
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
100
200
220
240
Answer: A
Question: A garrison of 2000 men has provisions for 62 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
1893
2700
1900
1278
Answer: B
Question: When x and y are rounded to the nearest tenth, x is 0.3 and y is 0.6. The exact value of (x/y) must be between
Choices:
6/11 and 6/13
5/13 and 7/11
3/7 and 7/12
5/11 and 7/13
Answer: B
Question: A motorist knows nine different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?
Choices:
8
12
24
54
Answer: D
Question: The perimeter of a square is equal to the perimeter of a rectangle of length 17 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
23.54
23.5
24.35
24.51
Answer: C
Question: If r and s are positive integers and r-s=6, which of the following has the greatest value K?
Choices:
2r
r +s
2r-s
2s-r
Answer: A
Question: Felix earned 30% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar?
Choices:
9.09%
7%
6.36%
It cannot be determined from the information given.
Answer: C
Question: 1/5 of a number is equal to 5/8 of the second number. If 35 is added to the first number then it becomes 4 times of second number. What is the second number ?
Choices:
70
40
25
27
Answer: B
Question: A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
Choices:
6 days
7 days
2 days
8 days
Answer: A
Question: The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Choices:
4
6
7
9
Answer: A
Question: There are two numbers. If 60% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Choices:
B)5/8
C)6
D)6/7
E)5/12
Answer: D
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 250 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Choices:
146
152
162
183
Answer: D
Question: Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability E that Jane will be on the same committee as Albert?
Choices:
20%
33%
40%
50%
Answer: C
Question: Insert the missing number. 2, 7, 10, 22, 18, 37, 26, 52, 34,
Choices:
52
77
62
68
Answer: B
Question: A man can row 8 Kmph in still water. If the velocity of the current is 2 Kmph and it takes him 2 hours to row to a place and come back. How far is the place?
Choices:
8.5
6.5
9.5
7.5
Answer: D
Question: Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed ?
Choices:
7
98
6
5
Answer: A
Question: In a flower shop there were 4 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is
Choices:
3
8
9
None of these
Answer: B
Question: The 100-milliliter solution of sugar and water is 12% sugar. How much water (in milliliters) must be added to make a solution that is 8% sugar?
Choices:
40
50
60
70
Answer: B
Question: Use distributive property to solve the problem below:
Maria bought 18 notebooks and 8 pens costing 2 dollars each.How much did Maria pay?
Choices:
40 dollars
50 dollars
60 dollars
52 dollars
Answer: D
Question: It takes John 25 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Choices:
7:30am
8am
5:45am
7:50am
Answer: D
Question: How many Single-digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6?
Choices:
One
Two
Three
Four
Answer: A
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
10 liters
18 liters
19 liters
12 liters
Answer: A
Question: There are 4 prime numbers in ascending order. The multiplication of 1st 3 is 385 and that of last 3is 1001. what is the last no. is?
Choices:
10
11
13
15
Answer: C
Question: In an election between two candidates, 10% of votes are were declares invalid. First candidate got 7200 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
Choices:
98000
40000
11000
12000
Answer: B
Question: What is the smallest positive integer nn such that 6,480∗n√6,480∗n is a perfect cube?
Choices:
5^2
30
30^2
30^4
Answer: D
Question: One side of a rectangular field is 16 m and one of its diagonal is 17 m. Find the area of the field.
Choices:
120
91.2
180
None
Answer: B
Question: Robert is travelling on his cycle and has calculated to reach the point A at 2 pm .if he travells at 10kmph;he will reach there at 12 noon if he travels at 15 kmph . at what speed he must travel to reach A at 1p.m
Choices:
85km
36km
12km
369km
Answer: C
Question: Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(25 Ã— 26)
so that the result is equal to 1?
Choices:
6/13
7/13
8/13
9/13
Answer: B
Question: The total age of A and B is 14 years more than the total age of B and C. C is how many year younger than A
Choices:
12
13
14
15
Answer: C
Question: A furniture manufacturer has two machines, but only one can be used at a time. Machine P is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine P can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
Choices:
13
11
9
7
Answer: C
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 24 minutes. The waste pipe can empty the full cistern in?
Choices:
B)6
C)8
D)9
E)5
Answer: B
Question: Rates for having a manuscript typed at a certain typing service are $10 per page for the first time a page is typed and $5 per page each time a page is revised. If a certain manuscript has 100 pages, of which 20 were revised only once, 30 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Choices:
$1500
$1400
$1250
$1350
Answer: B
Question: If 1/(x+5)+1/(x-5)=1/(x-5), what is the value of x?
Choices:
3
1
2
5
Answer: D
Question: Five points lie on the circumference of a circle. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points?
Choices:
10
6
15
5
Answer: D
Question: A sum of Rs. 4000 amounts to Rs. 4600 in 5 years at a certain rate of simple interest. What would be the amount, if the rate of interest is increased by 3 %.
Choices:
Rs. 5200
Rs. 5228
Rs. 5212
Rs. 5182
Answer: A
Question: A man's speed with the current is 22 km/hr and the speed of the current is 5 km/hr. The man's speed against the current is
Choices:
10
11
12
13
Answer: C
Question: The diagonal of a rhombus are 70 m and 160 m. Its area is:
Choices:
4800
5600
5200
5000
Answer: B
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices:
16.66%
17.9%
18.12%
18%
Answer: A
Question: The jogging track in a sports complex is1100m in circumference. Prakash and his wife start from the same point and walk in opposite directions at 5.2 km/hr and 5.6 km/hr respectively. They will meet for the first time in?
Choices:
6.11 min
7.18 min
8.33 min
9.00 min
Answer: A
Question: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 6 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Choices:
2.
3.
4.
5.
Answer: D
Question: A box contains 10 tablets of medicine A and 13 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Choices:
15
17
19
21
Answer: A
Question: A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
Choices:
7.678 days
9.38 days
7.38 days
7.32 days
Answer: C
Question: The perimeter of a triangle is 20cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Choices:
B)828
C)25
D)34
E)35
Answer: B
Question: In Arun's opinion, his weight is greater than 64 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 67 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Choices:
66.5 kg
46.5 kg
65.5 kg
16.5 kg
Answer: C
Question: In the exam the average was found to be p mark. After deducting typographical error the average marks of 90 student reduced from 75 to 60 . Due to this the average came down by 15 marks. What was the number of students who took the exam?
Choices:
90
110
130
160
Answer: A
Question: Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
Choices:
2528
2573
2500
2503
Answer: C
Question: The ratio between the perimeter and the width of a rectangle is 5:1. If the area of the rectangle is 96 square centimeters, what is the length of the rectangle in centimeters?
Choices:
12
13
14
15
Answer: A
Question: A train passes a station platform in 42 sec and a man standing on the platform in 12 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
450
460
480
171
Answer: A
Question: A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 360-mile journey? Assume that the train makes no intermediate stops.
Choices:
8
9
9.5
10
Answer: A
Question: The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 75 and n is not prime, what is the greatest possible value of f(n)?
Choices:
69
65
60
58
Answer: A
Question: Village X has a population of 74000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
Choices:
16
11
18
13
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 8 minutes, then the area of the park (in sq. m) is:
Choices:
153600
15360
307200
153700
Answer: A
Question: If (1*x)y=y, which of the following must be true?
Choices:
x=0 or y=0
x=1 or y=1
x=-1 or y=-1
x=0 or y=1
Answer: B
Question: What is the sum of all the numbers which divides 100 ?
Choices:
408
816
916
416
Answer: A
Question: Among 300 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
Choices:
90
120
172
188
Answer: A
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choices:
15
18
47
26
Answer: C
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.59000?
Choices:
81007
74671.875
81066
81022
Answer: B
Question: A marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. There can be no less than 8 musicians per row and no more than 30 musicians per row. How many different rectangular formations P are possible?
Choices:
4
5
6
P=8
Answer: D
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
Choices:
1
3
4
5
Answer: A
Question: If the cost of k metres of cable wire is c rupees, then what is the cost of m metres of cable wire at the same rate?
Choices:
Rs. (mc/k)
Rs. (kc)
Rs. (km/c)
None of these
Answer: A
Question: Ravi covers a distance of 900mtrs in 180 secs. Find his speed in kmph?
Choices:
18 kmph
20 kmph
26 kmph
28 kmph
Answer: A
Question: Light glows for every 13 seconds . How many times did it between 1:57:58 and 3:20:47 am
Choices:
382
383
384
385
Answer: B
Question: If you add all the numbers on your mobile phone , what is the answer?
Choices:
45
55
100
60
Answer: A
Question: If the average cost of a house was $50,000 in 1955 and was x in 2005, what was the average increase in home prices per year over this period?
Choices:
D)(50,000-x)/40
C)(50,000/40)+x
B)(x-50,000)/50
E)x/40
Answer: C
Question: If it is 5:14 in the evening on a certain day, what time in the morning was it exactly 2,880,702 minutes earlier? (Assume standard time in one location.)
Choices:
5:32
5:48
5:54
5:58
Answer: A
Question: What is the greatest of 3 consecutive integers whose sum is 30?
Choices:
9
10
11
12
Answer: C
Question: What is the perimeter of a regular polygon with sides of length 12 cm and internal angles measuring 120° each?
Choices:
72 cm
120 cm
132 cm
144 cm
Answer: A
Question: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
Choices:
500 ways
716 ways
765 ways
142 ways
Answer: A
Question: How many positive integers less than 256 are multiple of 4 but NOT multiples of 6?
Choices:
31
42
53
44
Answer: D
Question: Kumar started from Chennai at x hrs y minutes and travelled to Vellore. He reached Vellore at y hrs z minutes. If the total travel time was z hrs and x minutes, his starting time in Chennai could have been ______ (Assume clock format to be 0 to 24 hrs).
Choices:
13:03 hrs
00:02 hrs
12:01 hrs
None of these
Answer: B
Question: How many words can be formed by using all letters of the word 'MACHINE' ?
Choices:
1200
1570
5040
6040
Answer: C
Question: Calculate how many seconds it eill take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 5, 8, 11 and 15 seconds. ?
Choices:
1320
1322
1323
1312
Answer: A
Question: A bag contains 6 green jacks and 24 white jacks. One jack is drawn at random. What is the probability that the jack is white?
Choices:
3/4
7/8
1
None of these
Answer: A
Question: Evaluate : 86 x 863 - 86 x 237
Choices:
53836
44824
66524
None of them
Answer: A
Question: 5 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?
Choices:
12
15
16
28
Answer: D
Question: Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate Q in miles per hour for the entire trip?
Choices:
Q=30.0
Q=40.0
Q=53.3
Q=60.0
Answer: B
Question: A sum was put a simple interest at a certain rate for 3 years. Had it been put at 3% higher rate, it would have fetched Rs. 90 more. The sum is:
Choices:
s.900
s.1000
s.1200
s.1500
Answer: B
Question: A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 128 in his diary to remember his PIN. He also wrote out the way to calculate 128 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 128".
Once, Prafull saw his diary in which Pinaki wrote this number 128. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?
Choices:
869
871
873
None
Answer: A
Question: Pipe A can fill a tank in 5 hours, pipe B in 5 hours and pipe C in 10 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
4
3
1
2
Answer: D
Question: 189. The inside dimensions of a rectangular wooden box
are 8 inches by 10 inches by 12 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Choices:
4
5
6
8
Answer: B
Question: A snail, climbing a 24 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third day and slides down again 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
Choices:
16
17
20
21
Answer: D
Question: The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
Choices:
76
26
19
11
Answer: A
Question: A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Choices:
40x
48x
24x
x/75
Answer: A
Question: The original price of a suit is $150. The price increased 20%, and after this increase, the store published a 20% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 20% off the increased price, how much did these consumers pay for the suit?
Choices:
$136
$144
$150
$160
Answer: B
Question: For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 1/4, what are the odds of it burning out during the period from 6months to 1 year following its purchase?
Choices:
2/9
1/2
4/9
2/3
Answer: C
Question: If three eighth of a number is 141. What will be the approximately value of 32.08% of this number?
Choices:
80
100
110
120
Answer: D
Question: After giving a discount of rs.50 the shopkeeper gets a profit of 20%,if the cost price is rs.500.find the marked price%?
Choices:
500
650
600
650
Answer: D
Question: A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 20 km in 20 hours. How much time he would have saved if the direction of tide has not changed?
Choices:
8
1
6
16
Answer: D
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
Choices:
81:121
81:113
81:112
81:119
Answer: A
Question: A bag contains 1` red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue?
Choices:
2/19
1/8
3/20
3/10
Answer: B
Question: If 60% of a number is greater than 30% of 10 by 27, what is the number?
Choices:
50
30
75
5
Answer: A
Question: Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 79th number in this set?
Choices:
608
613
616
629
Answer: D
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Choices:
125/129
125/126
125/120
125/122
Answer: B
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Choices:
2790
1210
2756
2991
Answer: B
Question: four out of Eight employees are capable of doing a certain task. Sixty percent of the five employees, including the four who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?
Choices:
33.33%
13.33%
38.33%
none
Answer: D
Question: The largest four digit number which is a multiple of 8, 10,12 and 15 is:
Choices:
9960
9940
9930
9920
Answer: A
Question: Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were FIVE times the amount she spent per month, what should be the fraction of her salary that she spent each month?
Choices:
3/4
12/17
15/17
1
Answer: B
Question: A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
9/11
7/11
5/21
Answer: A
Question: If 1 > 1 - ab > 0, which of the following must be true?
I. a/b < 1
II. a/b > 0
III. ab < 1
Choices:
II only
III only
II and III only
I and III only
Answer: C
Question: Maya purchase 13 jars in a store then she returned 4 jars to store .Now how many jars she had?
Choices:
11
19
9
4
Answer: C
Question: If KING is coded as 17 and MASS is coded as 29 Then DON is coded as
Choices:
16
18
None
cannot be determined
Answer: B
Question: The average of four consecutive odd numbers is 12. Which is the lowest odd number?
Choices:
9
5
Cannot be determined
None of these
Answer: A
Question: Find the area of a parallelogram with base 18 cm and height 10 cm?
Choices:
284
288
255
180
Answer: D
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 15%. Overall how much he make a profit.
Choices:
s. 620
s. 600
s. 650
s. 690
Answer: B
Question: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
Choices:
Rs.7500
Rs.7518
Rs.7509
Rs.7506
Answer: A
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
Choices:
15 days
12 days
9 days
6 days
Answer: C
Question: S is a set of 100 consecutive multiples of 8. If the smallest number in S is 108, then the greatest number in S is
Choices:
297
999
902
900
Answer: D
Question: What percent is 3% of 5% ?
Choices:
1.5%
0.15%
None of these
Cannot be determined
Answer: C
Question: If N = 2^0.3 and N^b = 16, b must equal
Choices:
3/5
4
5/3
40/3
Answer: D
Question: If sushi rows 27 km upstream and 81 km down steam taking 9 hours each, then the speed of the stream
Choices:
12 kmph
22 kmph
20 kmph
15 kmph
Answer: A
Question: What is the number of integers from 1 to 500 (inclusive) that are divisible by neither 10 nor by 15?
Choices:
250
300
560
420
Answer: D
Question: In how many different number of ways a Committee of 3 person of can be selected from 5 men and 3 women such that at least 1 women is included in the committee
Choices:
46
52
54
56
Answer: A
Question: For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 60?
Choices:
15
8
12
20
Answer: A
Question: The average (arithmetic mean) of four different positive integers is 13. If the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer?
Choices:
3
2
1
0
Answer: D
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.1111. Find the cost of each ice-cream cup?
Choices:
66
77
50
91
Answer: C
Question: Which of the following integers doesn't have a divisor greater than 1 that is the square of an integer?
Choices:
36
100
61
72
Answer: C
Question: A card shop contains 10 birthday cards, 10 holiday cards, and 9 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be of the same type?
Choices:
12/58
12/840
7/841
12/841
Answer: D
Question: Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $1500 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years?
Choices:
$5,600
$13,500
$15,000
$22,500
Answer: B
Question: One-fifth of Ramu’s expenditure is equal to one-half of his savings. If his monthly income is Rs.6300 how much amount does he save?
Choices:
Rs.1800
Rs.2000
Rs.2350
Rs.2450
Answer: A
Question: If 1⁄8 of 2⁄3 of 4⁄5 of a number is 12 then 30 per cent of the number will be
Choices:
64
54
42
None of these
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 1/6%
33 1/3%
33 8/3%
31 1/3%
Answer: B
Question: How many numbers between 0 and 1370 have a prime tens digit and a prime units digit?
Choices:
212
220
228
236
Answer: B
Question: A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 50% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?
Choices:
1:10
3:8
3:4
3:2
Answer: B
Question: What percentage of numbers from 1 to 50 have squares that end in the digit 5?
Choices:
14
10
21
22
Answer: B
Question: A polygon has 35 diagonals. How many sides does it have?
Self made
Choices:
10
14
15
16
Answer: A
Question: Find the one which does not belong to that group ?
Choices:
288
608
287
112
Answer: B
Question: A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $1350 was the net sum to be paid for the entire work, what was the average daily wage of B?
Choices:
$90
$60
$54
$48
Answer: A
Question: For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 105 units raises the average to 55 units per day, what is the value of n?
Choices:
10
12
14
16
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. 900 more than D, what is B's share?
Choices:
Rs. 1800
Rs. 2000
Rs. 2500
none of the above
Answer: A
Question: A man can row downstream at 20 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
15, 4
15, 8
15, 5
15,7
Answer: C
Question: A man travels 100km by train at 40km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?
Choices:
40km/hr
48.9km/hr
52.6km/hr
27.6km/hr
Answer: A
Question: A baker filled with a measuring cup with 3/4 cup water. He poured 1/2 of the water into the batter. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Choices:
3/8 cup
1/4 cup
1/2 cup
6/8 cup
Answer: D
Question: How many Kg of sugar must be added to 30 Kg of 2% solution of sugar and water to increase it to a 10% solution?
Choices:
2.6Kg
3.4Kg
1.8Kg
None of these
Answer: A
Question: A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 6t seconds, then what is the length of the platform?
Choices:
3L
5L
7L
9L
Answer: B
Question: How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 20-percent solution?
Choices:
45
27
16 2/3
15
Answer: A
Question: By selling 50 meters of dress. I gain the selling price of 15 meters. Find the gain percent?
Choices:
45 8/7%
42 6/7%
12 8/3%
56 6/7%
Answer: B
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choices:
384
276
998
267
Answer: A
Question: √{(8.2)(10^9)} is closest to which of the following?
Choices:
12,000
30,000
50,000
90,000
Answer: D
Question: A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
Choices:
121
165
134
123
Answer: A
Question: If 9 is added to thrice a number and this sum is multiplied by 6, the result is the same as if the number is multiplied by 7 and 10 is added to the product. What is the number?
Choices:
-8
-9
-10
-11
Answer: D
Question: At a company, the average wage of male employees is $6 per hour, and the average wage of female employees is $8 per hour. If the average wage of all employees is $7.5 per hour, what is the ratio of the number of male employees to the number of female employees?
Choices:
1 to 3
3 to 2
5 to 3
2 to 1
Answer: A
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
Choices:
40
66
55
44
Answer: A
Question: Find the odd pair of numbers
1) 55 - 42
2) 69 - 56
3) 48 - 34
4) 95 - 82
5) 45 - 32
Choices:
69-56
48-34
95-82
45-32
Answer: B
Question: An article costing rs.160 is sold at 20% discount on a mark-up price. What is the selling price after
discount?
Choices:
116
128
136
146
Answer: B
Question: Evaluate: 37 - 18÷3×2 =
Choices:
25
27
22
17
Answer: A
Question: Three dice are thrown together, Find the probability of getting a total of 5?
Choices:
1/5
3/8
3/14
1/36
Answer: D
Question: If xy > 0, 1/x + 1/y = 6, and 1/xy = 5, then (x+y)/6 = ?
Choices:
1/6
1/5
5
6
Answer: B
Question: A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(12) + 2; g(12) + 3; g(12) + 4; and g(12) + 5?
Choices:
2
3
4
none
Answer: D
Question: A man sells a house for Rs.5,00,000 and loses something, if he had sold it for Rs.6,00,000, his gain would have been trible the former loss. Find the cost price of the horse?
Choices:
5,25,000
5,20,000
5,02,000
6,00,200
Answer: C
Question: Set J consists of the terms {a, b, c, d, e}, where e > d > c > b > a > 2. Which of the following operations would decrease the standard deviation of Set J?
Choices:
Divide each term by 2.2
Multiply each term by −1
Divide each term by d/e
Multiply each term by c
Answer: A
Question: Alan bought 180 packets of chocolate. He was able to sell 1/3 of them at a 5% profit, another 1/3 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by Alan after selling those 150 packets. A packet sold at a loss had a price of $9.
It's a bit confusing to say 5% of profit. Please provide an intuitive answer if possible. Thanks!!
Choices:
Profit of $20
Loss of $25
Profit of $30
Loss of $30
Answer: D
Question: Each of the positive integers a, b, and c is a three-digit integer. If each of the digits 0 through 8 appears in one of these three integers, what is the minimum possible value of the sum of a, b, and c?
Choices:
666
711
801
1368
Answer: B
Question: what is sum of fist 10 prime numbers?
Choices:
129
117
123
121
Answer: A
Question: Rahim bought 65 books for Rs.6500 from one shop and 35 books for Rs.2000 from another. What is the average price he paid per book ?
Choices:
138
100
129
85
Answer: D
Question: My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
Choices:
32 yrs, 23 yrs
35 yrs, 29 yrs
35 yrs, 33 yrs
none
Answer: A
Question: Jane and Thomas are among the 8 people from which a committee of 3 people is to be selected. How many different possible committees of 3 people can be selected from these 8 people if at least one of either Jane or Thomas is to be selected?
Choices:
28
32
36
40
Answer: C
Question: An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 5 : 8. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares?
Choices:
s 1500
s 1600
s 1900
s 1700
Answer: A
Question: If (1+k)l=l, which of the following must be true?
Choices:
k=0 or l=0
k=1 or l=1
k=-1 or l=-1
k=0 or l=1
Answer: A
Question: The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area T of that hemisphere?
Choices:
9/π
6
9
12
Answer: C
Question: A group of 4 investment bankers and 5 clients recently frequented the Bonbon Ribs Restaurant. The total bill for the meal, including 20% gratuity, came to $756. On average, how much did the meal of each individual cost before gratuity?
Choices:
$70
$90
$80
$55
Answer: A
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly six 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:
10
12
14
16
Answer: A
Question: A boat having a length 4 m and breadth 3 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:
Choices:
120 kg
72 kg
96 kg
None of these
Answer: A
Question: A sum of money lent out at S.I. amounts to Rs. 850 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?
Choices:
s. 500
s. 540
s. 782
s. 840
Answer: C
Question: When Robert discontinued his retainer-ship contract with a Pvt Company, management held his fees Rs. 15000/- for one month. Earlier Robert had taken an advance fees of 7280/- from company. But Robert forget that. After one month Robert asked his fees and accountant gives Rs.18500/- to him. What is the incentive amount given to Robert?
Choices:
B)12500
C)10780
D)10500
E)8600
Answer: B
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4
5
67
8
Answer: A
Question: A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 146 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Choices:
3
4
1
5
Answer: C
Question: Three cards are randomly selected, one at a time (without return), from a standard deck of 52 cards. What is the probability that all three cards are hearts? (Answer in lowest terms).
Choices:
11/850
1/16
1/107
20/21
Answer: A
Question: If a/b = 1/2, then the numerical value of which of the following expressions cannot be determined?
Choices:
(a + b)/a
(a + 1)/(b + 1)
(a - 3b)/(a + b)
6a – 3b
Answer: B
Question: The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?
Choices:
17 years
19 years
21 years
None
Answer: B
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
10 lr
12 lr
13 lr
15 lr
Answer: A
Question: If six persons sit in a row, then the probability that three particular persons are always together is ?
Choices:
1/2
1/5
1/2
1/1
Answer: B
Question: A car that moves at an average speed of 60 kmph, reaches its destination on time. When its average speed becomes 50 kmph, then it reaches its destination 45 minutes late. Find the length of journey.
Choices:
225 km
255 km
199 km
None
Answer: A
Question: Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
Choices:
1/30
1/10
1/45
1/60
Answer: D
Question: Find the number of square tiles to cover the floor of a room measuring 3.5 m * 12.5 m leaving 0.25 m space around the room. A side of square tile is given to be 60 cms?
Choices:
100
36
1000
212
Answer: A
Question: A boat can travel 1.8 times the distance down the stream than up the stream in the same time. If the speed of the current is 3 KMPH, Find the speed of the boat in still water
Choices:
10.5
15
20
25
Answer: A
Question: Average of all prime numbers between 30 to 45
Choices:
38
39
39.8
40
Answer: A
Question: A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 18 days, A finished the remaining work. In how many days A alone can finish the job?
Choices:
24
60
30
20
Answer: A
Question: There are 20cm, 21cm, 22cm,23cm, 24cm,25cm rods of quantities 2,3,6,4,3,2 respectively. Find average of this data.
Choices:
21.45
45
22.45
22
Answer: C
Question: A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain %.
Choices:
4%
5%
9%
8%
Answer: A
Question: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
6:9
6:5
6:2
6:3
Answer: B
Question: Ramesh start a bike at 1pm. and rides it at 50kmph. Mahesh started at 2pm with his car at 70kmph. When will Mahesh overtake Ramesh?
Choices:
4:30
3:00
6:10
5:30
Answer: A
Question: When the integer k is divided by 7, the remainder is 3. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 7
II. 6k + 1
III. 8k + 5
Choices:
II only
III only
I and II only
I, II and III
Answer: C
Question: Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $229
Choices:
1
2
3
4
Answer: A
Question: A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. What is the common remainder?
Choices:
199
28
12
25
Answer: A
Question: The population of a small beach town on Australia's east coast grows by 50% from May 1 to June 1 and then grows by another 50% from June 1 to July 1. The population then decreases by 11.11% from July 1 to August 1. By approximately what percentage has the population grown from May 1 to August 1?
Choices:
90%
100%
200%
225%
Answer: B
Question: If 5a + 7b = m, where a and b are positive integers, what is the largest possible value of m for which exactly one pair of integers (a, b) makes the equation true?
Choices:
48
69
70
74
Answer: C
Question: The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then
Choices:
2x = y + z
3x = 2y - 2z
3x = 9y - 2z
3x = 2y - 1z
Answer: A
Question: n the given series, you can find a set of numbers. Of course, there is a particular pattern that has been followed here with every progressing set.
Find the pattern and complete the series.
(2 + 6), (21 + 6), (58 + 6), (119 + 6), ___
Choices:
216
217
218
none
Answer: A
Question: How many different positive integers exist between 10^6 and 10^7, the sum of whose digits is equal to 2?
Choices:
7
5
8
18
Answer: A
Question: A tailor trims 7 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. If 45 square feet of cloth remain, what was the length of a side of the original piece of cloth?
Choices:
15
17
19
21
Answer: C
Question: If z is not equal to zero, and z=6zs−9s2−−−−−−−−√z=6zs−9s2, then z equals:
Choices:
3s
4s
-3s
-4s
Answer: A
Question: 9, 12, 11, 14, 13, ?, 15
Choices:
16
15
17
10
Answer: A
Question: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [7]*[4] equivalent to?
Choices:
[84]
[42]
[48]
[14]
Answer: A
Question: A 6 litre sol is 25% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ?
Choices:
B.1
C.2.1
D.3
E.5.4
Answer: C
Question: How many digits 2^300 has?
Choices:
35
50
91
101
Answer: C
Question: 6 wires are by average 80 cm long each. If the average length of one third of the wires is 70 cm, what is the average of the other wires?
Choices:
85.
90.
94.
100.
Answer: A
Question: Three numbers are in the ratio 4 : 5 : 6 and their average is 36 . The largest number is:
Choices:
32
43.2
42
45
Answer: B
Question: If A and B together can finish a work in 16 days.A can finish same work alone in 24 days then B alone can finish same work alone in how many days?
Choices:
48 days
40 days
36 days
50 days
Answer: A
Question: A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
Choices:
1 dm
1 m
1.1 cm
None of these
Answer: A
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:
27 seconds
30 seconds
40 seconds
50 seconds
Answer: C
Question: In an examination, 40% of total students failed in Hindi, 40% failed in English and 15% in both. The percentage of these who passed in both the subjects is :
Choices:
20%
30%
40%
50%
Answer: B
Question: The speed of a car is 60 km in the first hour and 30 km in the second hour. What is the average speed of the car?
Choices:
45 kmph
75 kmph
85 kmph
90 kmph
Answer: A
Question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 550?
Choices:
11
12
13
15
Answer: D
Question: For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 96 Θ 33 ) Θ 17 ) - ( 94 Θ (33 Θ 17)) ?
Choices:
9
10
11
12
Answer: C