antoine-444/aqua_rat_dataset huggingface dataset:
Question: The positive two-digit integers m and n have the same digits, but in reverse order. Which of the following must be a factor of m + n?
Choices:
33
10
12
14
Answer: A
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
125
288
266
121
Answer: A
Question: Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 2010?
Choices:
Rs.50000
Rs.60000
Rs.70000
None of these
Answer: A
Question: Find the sum of all odd numbers upto 100.
Choices:
1000
2500
3140
3200
Answer: B
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 40° is?
Choices:
51m2
50.2m2
45m2
40m2
Answer: B
Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K – 4 and 5K + 1 is 63, what is the value of K?
Choices:
15 3/4
21
23
25 3/10
Answer: B
Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 75 with him, what was the average amount with the group before his joining the group?
Choices:
s. 45/2
s. 16.6
s. 26
s. 25/2
Answer: A
Question: With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 3 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
Choices:
360 km
278 km
297 km
671 km
Answer: A
Question: The sum of the first 50 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?
Choices:
7,500
10,500
15,000
19,600
Answer: A
Question: The measures of angles A, B and C of a triangle are in the ratio 3:4:5. What is the measure, in degrees, of the largest angle?
Choices:
65°
85°
75°
55°
Answer: C
Question: X does a work in 30 days. Y does the same work in 45 days. In how many days they together will do the same work?
Choices:
18
20
30
15
Answer: A
Question: The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers
Choices:
8
6
4
2
Answer: A
Question: The amount of time that three people worked on a special project was in the ratio of 1 to 2 to 3. If the project took 120 hours, how many more hours did the hardest working person work than the person who worked the least?
Choices:
40 hours
36 hours
38 hours
42 hours
Answer: A
Question: The simple interest in 14 months on a certain sum at the rate of 6 per cent per annum is 250 more than the interest on the same sum at the rate of 8 per cent in 8 months. How much amount was borrowed?
Choices:
15000
7500
14500
None of these
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 W of that hemisphere?
Choices:
9/π
6
9
12
Answer: C
Question: If P is a prime number greater than 3, find the remainder when P^2 + 12 is divided by 12.
Choices:
1
0
8
7
Answer: A
Question: A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed (in km/hr) must be :
Choices:
8 km/hr
11 km/hr
12 km/hr
None of these
Answer: C
Question: What is the value of x if (64^2)-(36^2)=20*x?
Choices:
100
140
130
115
Answer: B
Question: Two members of a certain club are selected to speak at the next club meeting. If there are 78 different possible selections of the 2 club members, how many members does the club have?
Choices:
6
7
8
13
Answer: D
Question: A present value of a machine is $128000. Its value depletiation rate is 25% per annum then find the machine value after 3 years
Choices:
B)$54000
C)$36520
D)$32450
E)$42500
Answer: A
Question: There are 18 balls in a box: 10 balls are green, 6 are blue and 2 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
Choices:
5/16
3/13
5/13
6/13
Answer: A
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Choices:
3:4:7
3:4:5
3:4:1
3:4:0
Answer: A
Question: In how many ways can three boys can be seated on five chairs?
Choices:
28
60
58
39
Answer: B
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Choices:
99
77
665
41
Answer: A
Question: Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 320x is the cube of a positive integer?
Choices:
3
5
15
25
Answer: D
Question: What is the sum of the integers from -150 to 155, inclusive?
Choices:
955
1050
765
750
Answer: C
Question: The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
Choices:
13519
13527
13500
13521
Answer: C
Question: . A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Choices:
2767
1023
1877
1722
Answer: B
Question: Tough and Tricky questions: Word Problems.
It takes Sarah 44 minutes to do one oil change, and it takes Alice 20 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously?
Choices:
10:42 a.m.
12:00 a.m.
12:40 p.m.
2:00 p.m.
Answer: C
Question: A lady grows Broccoli in her garden that is in the shape of a square. Each Broccoli takes 1 square foot of area in her garden. This year, she has increased her output by 79 Broccoli when compared to last year. The shape of the area used for growing the Broccoli has remained a square in both these years. How many Broccoli did she produce this year?
Choices:
1600
1650
1700
Cannot be determined
Answer: A
Question: In the xy-plane, line h passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line h?
Choices:
3x+2y-5=0
2x-3y-12=0
2x+3y=0
4x+3y-6=0
Answer: A
Question: For which of the following functions does f(−z)=−f(z) for all real number values of x?
Choices:
z^5/(z^2+1)
z^5/z^7
z^9/(z^5+1)
z^8
Answer: A
Question: 111 = O,
222 = E,
333 = T,
444 = S,
Reading and analyzing the above, can you find out the following ?
555 = ?
Choices:
0
3
2
4
Answer: A
Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 8 years more than the present age of Anand. Find the present age of Anand?
Choices:
14
15
16
18
Answer: A
Question: If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?
Choices:
17.2
19.2
15.2
16.2
Answer: A
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 18 hrs and a machine of type S does the same job in 9 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
A)3
C)6
D)9
E)12
Answer: A
Question: A vessel of capacity 2 litre has 30% of alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Choices:
30%.
49%.
29%.
51%.
Answer: A
Question: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 15 terms of the arithmetic progression?
Choices:
1/3
2
9
1/9
Answer: B
Question: A tortoise was walking on a 700-feet circular path in a garden at a rate of 100 feet per hour. One hour after the tortoise started, a hare started running from the same starting point on the path at 200 feet per hour. What is the shortest time that the hare could need in order to catch up with the tortoise?
Choices:
1 hour
2.5 hours
3 hours
4 hours
Answer: A
Question: A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are fused and he is completely in the dark. How many socks must he take out to make 100 per cent certain he has a pair of black socks?
Choices:
20 socks
30 socks
40 socks
50 socks
Answer: C
Question: A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Choices:
Rs.245
Rs.350
cannot be determined
None of these
Answer: C
Question: In a class there are less than 500 students.When it is divided by 3 it gives a whole number. Similarly when it is divided by 4, 5 or 7 gives a whole number. Find the number of students in the class?
Choices:
420
430
440
450
Answer: A
Question: A milk man borrowed 2,500 from two money lenders. For one loan, he paid 5% p.a. and for the other, he paid 7% p.a.The total interest paid for two years was 275. How much did he borrow at 7% rate?
Choices:
625
650
675
None of these
Answer: A
Question: Sequence G consists of 16 consecutive integers. If -6 is the least integer in sequence G, what is the range of the positive integers in sequence G?
Choices:
15
9
8
7
Answer: C
Question: Worldwide production of motor vehicles was 3.9 million vehicles in 1946 and 49 million in 1987. Of the following, which is closest to the average (arithmetic mean) annual increase, in millions, in worldwide production of motor vehicles during this period?
Choices:
1.0
1.1
10.5
41.8
Answer: B
Question: When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 86.12, what is the value of y?
Choices:
87
75
25
12
Answer: B
Question: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 30% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
Choices:
2,289,230
2,400,000
3,690,240
3,915,790
Answer: A
Question: A boat M leaves shore A and at the same time boat B leaves shore B. They move across the river. They met at 500 yards away from A and after that they met 300 yards away from shore B without halting at shores. Find the distance between the shore A & B.
Choices:
1200 yards
1300 yards
1400 yards
1000 yards
Answer: A
Question: Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is?
Choices:
40
88
44
11
Answer: A
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 50% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Choices:
12.5%
15%
22%
20%
Answer: D
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is
Choices:
5226
5286
5330
5336
Answer: D
Question: A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Choices:
77 days
88 days
11 days
18 days
Answer: C
Question: A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choices:
72.9
73.0
73.5
92.2
Answer: A
Question: It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill 1/64 of the dish?
Choices:
22
24
26
28
Answer: B
Question: If the average (arithmetic mean) of 5 positive temperatures is z degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:
Choices:
4z
5z/3
3z/2
3z/5
Answer: A
Question: Find number which is 60% less than 120.
Choices:
22
28
48
98
Answer: C
Question: A shopkeeper marks the price of his goods at 25% higher than the original price. After that, he allows a discount of 12%. What profit or loss does he get?
Choices:
10% profit
10% loss
15% loss
25% loss
Answer: A
Question: Sandy buys an old scooter for $800 and spends $200 on its repairs. If Sandy sells the scooter for $1400, what is the gain percent?
Choices:
30%
40%
50%
60%
Answer: B
Question: Sam bought a container of cashew for Rs.2200000 weighing 14 tons. Packed it in a package of 1 kg and sold the package for Rs. 200. What is the % of profit Sam has made?
Choices:
24.2%
29.5%
27.2%
30.1%
Answer: C
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 249 marks in the second test and failed by 66 marks in that test. Find the pass mark in the first test?
Choices:
243
246
280
224
Answer: C
Question: The quantities S and T are positive and are related by the equation S=K/T, where k is a constant. If the value of S increases by 70 percent, then the value of T decreases by what percent?
Choices:
16 1/3%
50%
66 ²/₃%
75%
Answer: A
Question: John was 19 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/8 of John's. How old is Betty?
Choices:
21
28
30
32
Answer: A
Question: Find the area of a parallelogram with base 25 cm and height 15 cm?
Choices:
385 cm2
275 cm2
375 cm2
285 cm2
Answer: C
Question: If x, y and r are positive integers greater than 1, and x and y are factors of r, which of the following must be the factor of r^(xy)?
I. x+y
II. y^x
III. x^2 * y^2
Choices:
II only
III only
I and II
II and III
Answer: D
Question: If the number 5 * 2 is divisible by 6, then * = ?
Choices:
2
3
6
5
Answer: A
Question: What is the next number in the series?
2,4,7,10,15,18,....
Choices:
23
25
26
27
Answer: A
Question: The tax on a commodity is diminished by 25% and its consumption increased by 15%. The effect on revenue is?
Choices:
18% decrease
19% decrease
13.75% decrease
12.5% decrease
Answer: B
Question: In a certain pond, 60 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
1,500
1,250
2,500
10,000
Answer: A
Question: A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $5620. What is the average monthly balance maintained by John in his
account during the year?
Choices:
5680
6840
7540
28100
Answer: D
Question: What sum of money will produce Rs.80 as simple interest in 4 years at 3 1/2 percent?
Choices:
571.4
367
368
339
Answer: A
Question: If 0.75 of a number is equal to 0.025 of another number, the ratio of the numbers is :
Choices:
3 :4
1:30
20 : 3
30:7
Answer: B
Question: The length of a rectangle is halved, while its breadth is tripled. Wat isthe % change in area?
Choices:
45%
50%
60%
67%
Answer: B
Question: If a pair of opposite sides of a square is increased by 5cm each, then the ratio of the sides of the new figure is 3 : 2. What is the original area of the square?
Choices:
225 cm2
81 cm2
100 cm2
None of these
Answer: C
Question: There are 150 'zeroes' and 151 'ones' written on a black board. A step involves choosing three digits and replacing them with a single digit. If all the three digits are identical, they are replaced with the same digit. Otherwise, the digit that appears twice replaces the three chosen digits. What is the minimum number of steps after which there will be no zero written on the blackboard?
Choices:
37
36
76
33
Answer: C
Question: A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 6,000 meters of fabric?
Choices:
$10,400
$11,500
$12,600
$13,700
Answer: B
Question: A man can hit a target once in 3 shots. If he fires 4 shots in succession, how many ways that he will hit his target?
Choices:
81/133
81/343
16/81
91/324
Answer: C
Question: Identify the next two numbers in this Sequence ?
101, 112, 131, 415, 161, 718, ???, ???
Choices:
456804
545788
342678
192021
Answer: D
Question: How many diagonals does a 59-sided convex polygon have?
Choices:
1652
2452
3304
4256
Answer: A
Question: An inspector rejects 0.04% of the meters as defective. How many will he examine to reject 2?
Choices:
B)2000
C)2500
D)5000
E)3100
Answer: C
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 150, the runs scored by B are?
A. 15 B. 18
Choices:
18
99
36
24
Answer: C
Question: An bus covers a certain distance at a speed of 250 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
1250 km/hr
1256 km/hr
1231 km/hr
1220 km/hr
Answer: A
Question: Number of prime numbers between 30 and 50 is
Choices:
5
6
7
9
Answer: A
Question: If V = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in V than the median of the numbers in V?
Choices:
1.0
2.0
2.5
3.0
Answer: A
Question: The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
Choices:
Rs.10528
Rs.10560
Rs.10508
Rs.10568
Answer: B
Question: A tank has an inlet and outlet pipe. The inlet pipe fills the tank completely in 2 hours when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is pluggeed.
If there is a lekage also which is capable of draining out the liquid from the tank at half of the rate of outet pipe,them what is the time taken to fill the emty tank when both the pipes are opened?
Choices:
4 hours
5 hours
None of these
Cannot be determined
Answer: A
Question: P & Q sitting in a circular arrangement with 10 persons. What is the probability that P & Q will sit together?
Choices:
2/11
3/14
1/15
2/17
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
76 sec
48 sec
27 sec
22 sec
Answer: B
Question: On a certain day, Tim invested $600 at 10 percent annual interest, compounded annually, and Lana invested 800 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
Choices:
$15
$44
$100
$105
Answer: B
Question: Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1310, how much does he invest in 12% stock at Rs. 120?
Choices:
s. 4500
s. 5500
s. 6000
s. 6500
Answer: D
Question: When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Choices:
5030
5010
5040
5020
Answer: C
Question: A table is bought for Rs.950/- and sold at Rs.800/- find the loss percentage
Choices:
10% Gain
15% Loss
20% Gain
30% Gain
Answer: B
Question: It takes eleven minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?
Choices:
13.85
14.21
14.67
14.92
Answer: C
Question: A sum of money deposited at C.I. amounts to Rs.1980 in 3 years and to Rs.2492 in 4 years. Find the rate percent?
Choices:
10%
25%
19%
50%
Answer: B
Question: 13 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
Choices:
160
720
1100
2184
Answer: D
Question: Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join?
Choices:
3 months
7 months
4 months
8 months
Answer: C
Question: Steve traveled the first 2 hours of his journey at 35 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?
Choices:
56.67 mph
53.33 mph
62 mph
66.67 mph
Answer: C
Question: A train covers a distance of 12 km in 10 min. If it takes 7 sec to pass a telegraph post, then the length of the train is?
Choices:
189 m
140 m
178 m
188 m
Answer: B
Question: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
42
60
32
15
Answer: A
Question: If a/x = 1/3 and a/y =1/ 5, then (x + y) =
Choices:
B)a/2
C)6a
D)7a
E)8a
Answer: D
Question: A scooter costs 45,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
Choices:
23,040
12,800
12,000
None of these
Answer: A
Question: Which of the following equivalent to (1/343)^2?
Choices:
(0.020)^3
(0.021)^3
(0.022)^3
(0.023)^2
Answer: A
Question: Company ABC imported 10,000 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 10 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported?
Choices:
400
1050
1680
2100
Answer: A
Question: † and ¥ represent nonzero digits, and (†¥)^2 - (¥†)^2 is a perfect square. What is that perfect square?
Choices:
361
576
961
1089
Answer: D
Question: Today Joelle opened an interest-bearing savings account and deposited $10,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
Choices:
$11075
$11025
$11095
$11015
Answer: B
Question: Find the L.C.M of 42,88,220
Choices:
1320
1220
1420
1520
Answer: A
Question: √2 percent of 2√2 =
Choices:
0.05
1.0
2.0
4.0
Answer: A
Question: A bike covers a certain distance at the speed of 45km/h in 5 hrs. If the bike was to cover the same distance in approximately 9 hrs, at what approximate speed should the bike travel?
Choices:
15 km/h
25 km/h
35 km/h
45 km/h
Answer: B
Question: There are three numbers. 5/7th of the first number is equal to 48% of the second number. The second number is 1/9th of the third number. If the third number is 1125, then find 25% of the first number?
Choices:
62
87
21
82
Answer: C
Question: The probability that a card drawn from 52 cards will be a diamond or a king is ?
Choices:
4/13
8/5
79/8
78/45
Answer: A
Question: A and B start a business with Rs.2000 and Rs.4000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:9
3:1
1:2
Answer: D
Question: How many kgs. of wheat costing Rs. 5 per kg must be mixed with 45 kg of rice costing Rs. 6.40 per kg so that 20% gain may be obtained by selling the mixture at Rs. 7.20 per kg ?
Choices:
18
77
26
11
Answer: A
Question: One-third less than 25% of 180 is equal to:
Choices:
30
35
40
45
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 3/3%
19 2/3%
16 2/3%
16 8/3%
Answer: C
Question: A person borrows 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 61⁄4 % p.a. for 2 years. Find his gain in the transaction per year.
Choices:
112.50
150
167.5
None of these
Answer: A
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
267
269
400
276
Answer: C
Question: Draw one card from an ordinary deck of card and what are the chances it will be a King or Club?
Choices:
1 in 52
4 in 13
1 in 13
1 in 12
Answer: B
Question: A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If a and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of a and n?
Choices:
-130
-104
51
305
Answer: C
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. 700 more than D, what is B's share?
Choices:
Rs. 1400
Rs. 2000
Rs. 2500
none of the above
Answer: A
Question: Approximately how many cubic feet of water are needed to fill a circular swimming pool that is 100 feet across and 4 feet deep?
Choices:
30000
50000
70000
90000
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
16 sec
38 sec
18 sec
17 sec
Answer: B
Question: In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 25 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
Choices:
5%
16%
20%
25%
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/29
23/12
23/11
Answer: A
Question: In how many years Rs 160 will produce the same interest at 8% as Rs. 500 produce in 4 years at 8%
Choices:
13.5
11.5
12.5
12
Answer: C
Question: Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $40,000 higher than Store B's revenues. In the second month, Store A's revenues were $10,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue for the three months was $2,000 greater than Store B's average monthly revenue, then Store B's revenue in the third month was how much greater than Store A's revenue?
Choices:
$15,000
$44,000
$46,000
$50,000
Answer: B
Question: 7^6 + 7^6 + 7^6 + 7^6 =
Choices:
7^7
4^8
4^9
4^12
Answer: A
Question: The value of x + x(x^x) when x = 3 is
Choices:
84
45
90
55
Answer: A
Question: a train length 100 m going with speed 10m/sec another train 150m long going with speed 15m/sec.the distance between two train is 50m.then how much time second train will take to cross the first train?
Choices:
60sec
30sec
45sec
1min10sec
Answer: A
Question: A toothed wheel of diameter 50cm is attached to a smaller wheel of diameter 30cm. How many revolutions will the smaller wheel make when the larger one makes 15 revolutions?
Choices:
20
25
30
32
Answer: B
Question: The cash difference between the selling prices of an book at a profit of 8% and 16% is $3. The ratio of the two selling prices is:
Choices:
52:33
52:53
27:29
51:34
Answer: C
Question: A table is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
Choices:
10% Loss
20% Loss
20% Gain
30% Gain
Answer: A
Question: How many multiples of 3 are there between 5 and 59, 5 and 59 inclusive ?
Choices:
22
18
11
9
Answer: B
Question: Which of these lines in the xy-plane does not contain any point with two negative coordinates?
Choices:
y = x + 8
y = x^2 - 4
y = x^3 + 2x
y = x^2
Answer: D
Question: One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card(Jack, Queen or King)
Choices:
2/74
4/18
3/13
9/15
Answer: C
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Choices:
60 kg
72 kg
88 kg
96 kg
Answer: A
Question: 3 Years ago, the average age of a family of 5 members was 19 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
Choices:
1.5 Years.
2 Years.
3 Years.
4 Years.
Answer: D
Question: By travelling at 30 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Choices:
15 kmph
12 kmph
20 kmph
23 kmph
Answer: A
Question: A grocery store has a surplus of cakes, so they price them at 10% off the wholesale price of $8.50. An employee uses their employee discount to get a further 10% discount off a cake. How much does that employee pay? Round your answer to the nearest hundredth decimal place.
Choices:
$6.80
$6.89
$7.65
$6.88
Answer: B
Question: The current birth rate per certain number of people is 52, whereas corresponding death rate is 16 per same number of people. If the net growth rate in terms of population increase is 1.2 percent, find number of persons.(initally)
Choices:
2000
3000
5000
1000
Answer: B
Question: The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is
Choices:
250
260
270
None
Answer: C
Question: Which of the following CANNOT be a value of 4/(x–4)?
Choices:
-1/2
0
2
6
Answer: B
Question: Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is
Choices:
6 days
10 days
16 days
22 days
Answer: C
Question: One night a certain hotel rented 2/3 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
Choices:
60%
65%
70%
75%
Answer: A
Question: Speed of a man with current measures 15 km/hr. Speed of current is 2.5 km/hr. What is the speed of man against the current?
Choices:
10 kmph
9 kmph
8.5 kmph
None of these
Answer: A
Question: 2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
Solve it?
Choices:
65
87
72
98
Answer: D
Question: The length of a rectangular hall is 5 m more than its breadth. The area of the hall is 7502. The length of the hall is :
Choices:
22.5m
25m
30m
None of these
Answer: C
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10
77
62
12
Answer: A
Question: A is twice as good a workman as B and they took 5 days together to do the work B alone can do it in?
Choices:
15 days
21 days
11 days
13 days
Answer: A
Question: A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
Choices:
2650
2630
2670
2660
Answer: D
Question: A can complete the job in 6 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
Choices:
1/9
1/2
5/6
8/9
Answer: A
Question: A pump can fill a tank with water in 3 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
Choices:
16hr 20min
5hr 15min
15hr
14hr 25min
Answer: B
Question: The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
Choices:
2
3
4
5
Answer: A
Question: The first term in a sequence is 1 and the second term is 9. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 28th term in the sequence?
Choices:
5
9
28
50
Answer: A
Question: At Ram's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
Choices:
258
216
120
72
Answer: A
Question: If p is the sum of x consecutive positive integers. q is the sum of y consecutive positive integers. For which of the following values of x and y is it impossible that p = q?
Choices:
x = 3 and y = 6
x = 7 and y = 9
x = 10 and y = 7
x = 10 and y = 4
Answer: D
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is
Choices:
5 hr.
2 hr.
7 hr.
1 hr.
Answer: D
Question: Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The larger number is
Choices:
46
56
64
None
Answer: B
Question: If the charge of staying in a student youth hostel $18.00/day for the first week, and $11.00/day for each additional week, How much does it cost to stay for 23 days?
Choices:
$176
$282
$302
$286
Answer: C
Question: Which fraction will come next, 1/2,3/4,5/8,7/16,?
Choices:
11/32
9/28
9/32
9/28
Answer: C
Question: Cindy is thinking of a number which is 4 less than the square of a positive integer. The number
has the property that it has two 2-digit prime factors. What is the smallest possible value of
Cindy's number?
Choices:
221
241
251
261
Answer: A
Question: If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. x + y + z is even
II. (x+y)/z is an integer
III. xz is even
Choices:
II only
III only
I and II only
None of the above
Answer: D
Question: Find the area of circle whose radius is 28m?
Choices:
2464
7675
1683
1784
Answer: A
Question: The difference between the ages of two persons is 30 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the younger person is?
Choices:
25yr
45yr
40yr
50yr
Answer: B
Question: The sum of ages of 5 children born 3 years different each is 75 yrs. What is the age of the Elder child?
Choices:
9
16
18
21
Answer: D
Question: One day a car rental agency rented 2/3 of its cars, including 3/5 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players?
Choices:
18/25
11/15
7/10
3/5
Answer: A
Question: When n is divided by 9, the remainder is 2. When n is divided by 13, the remainder is 8. If 1 < n < 200, what is the greatest possible value of n?
Choices:
65
103
164
117
Answer: C
Question: Two cars cover the same distance at the speed of 50 and 65 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
214 km
224 km
200 km
204 km
Answer: C
Question: shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Choices:
Rs. 20000
Rs. 15000
Rs. 22000
None of these
Answer: A
Question: Water is poured into a cylindrical well at the rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the diameter of the tank in meters?
Choices:
√10
2√10
5
10
Answer: B
Question: A shopping mall charges 70 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a certain customer parked his in the mall for 7 hours and 30 minutes, how much is he going to pay?
Choices:
$36.4
$13.
$14.5.
$15.
Answer: A
Question: Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
Choices:
2/5
3/10
3/7
1/7
Answer: B
Question: A bakery currently has 6 pies and 5 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
Choices:
100/231
5/11
93/116
50/147
Answer: A
Question: A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Choices:
277
2987
278
200
Answer: D
Question: What is the value of 3x^2 − 1.8x + 0.3 for x = 0.9?
Choices:
0
0.3
1.11
2.46
Answer: C
Question: 21, 9, 21, 11, 21, 13, 21, ?
Choices:
17
19
15
20
Answer: C
Question: At Tom's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
Choices:
258
216
120
72
Answer: A
Question: The first, second and third terms of the proportion are 56, 16, 49. Find the fourth term.
Choices:
14
40
50
60
Answer: A
Question: If each year the population of the country grows by 50%, how many years will elapse before the population of the country doubles?
Choices:
4
2
6
7
Answer: B
Question: A two-digit number exceeds the sum of the digits of that number by 18. if the digit at the unit’s place is double that digits in the ten’s place, what is the number ?
Choices:
24
48
data inadequate
None
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 10 sec. What is the length of the platform?
Choices:
350 m
267 m
287 m
870 m
Answer: D
Question: The average of 10 result is 42. Average of the first 7 of them is 30 and that of the last 7 is 80. Find the 8th result?
Choices:
37
70
75
50
Answer: B
Question: Mother,her daughter and her grand child weighs 120 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
Choices:
47
48
49
50
Answer: B
Question: Plane leaves from Chelsea every 35 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard?
Choices:
6:50 p.m
7:35 p.m
8:35 p.m
9:35 p.m
Answer: A
Question: Rohit spent 30 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Rohit have left over?
Choices:
35%
46%
47%
52%
Answer: B
Question: A fruit seller had some oranges. He sells 40% oranges and still has 480 oranges. How many oranges he had originally?
Choices:
800
720
730
740
Answer: A
Question: If 2^5, 3^3, and 10^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
Choices:
39
120
65
156
Answer: B
Question: A sum of Rs. 350 made up of 110 coins, which are of either Re.1 or Re.5 denomination. How many coins are of Re.1?
Choices:
50
65
54
47
Answer: A
Question: A car takes 4.5 hours to travel from A to B, which is 360 miles apart. What is the average speed of the car?
Choices:
50
60
80
85
Answer: C
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned?
Choices:
19828.2
19828.8
19828.88
19828.21
Answer: B
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
Choices:
300
400
Cannot be determined
600
Answer: C
Question: How many numbers from 10 to 10000 are exactly divisible by 9?
Choices:
1000
1110
1200
1400
Answer: B
Question: IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
Choices:
3x^3
9x^2
x-1
9x/3
Answer: D
Question: If two numbers are in the ratio 7:2. If 5 is subtracted to both of the numbers then the ratio becomes 2:3then find the largest number?
Choices:
37/17
35/17
25/17
24/17
Answer: B
Question: Panya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Choices:
1/8
1/4
1/3
3/8
Answer: C
Question: saran professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
54 1/2%
33 3/8%
11 1/9%
87 7/9%
Answer: C
Question: 47% of the students in a class of 44 students has glasses or contacts. How many students in the class have either glasses or contacts?
Choices:
16
17
18
21
Answer: D
Question: There are 324,437 chicks in a farm. Jack wants to distribute these evenly across 9 different retail shops, how many chicks would remain with him.
Choices:
2 chicks
3 chicks
4 chicks
5 chicks
Answer: D
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
80/13 hours
30/73 hours
30/13 hours
50/13 hours
Answer: C
Question: A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 28 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up
Choices:
15
20
25
30
Answer: D
Question: Ella and Frank race around a running track. Ella runs at a constant rate of one lap every 3 minutes and Frank runs at a constant rate of one lap every 5 minutes. If they both start at the same time, how many minutes will it take for Ella to get exactly one lap ahead of Frank?
Choices:
6.5
7.5
8.5
9.5
Answer: B
Question: A person spent Rs. 6,040 from his salary on food and 5,000 on house rent. After that he was left with 80% of his monthly salary. What is his monthly salary ?
Choices:
55,200
75,200
85,200
95,200
Answer: A
Question: What is the smallest no. which must be added to 25268 so as to obtain a sum which is divisible by 11?
Choices:
10
11
20
30
Answer: A
Question: 15 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
200
210
220
225
Answer: B
Question: In measuring the sides of a rectangle, one side is taken 10% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
Choices:
2.4%
3%
4.5%
2.6%
Answer: C
Question: 10% people of a village in Sri Lanka died by bombardment, 20% of the remainder left the village on account of fear. If now the population is reduced to 3240, how much was it in the beginning?
Choices:
B)4200
C)4400
D)4500
E)4600
Answer: C
Question: The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 460 kms in 4 hours, then the speed of the first train is:
Choices:
100.6 km/hr.
90.25 km/hr.
94.25 km/hr.
96.25 km/hr.
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively. If they cross each other in 23 seconds, what is the ratio of their speeds?
Choices:
3:2
3:1
1:3
1:4
Answer: A
Question: On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 3?
Choices:
50
10^4
10^5
10^6
Answer: D
Question: In how many ways can 5 white and 2 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Choices:
60
10
240
30
Answer: C
Question: When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 85% of his regular speed, then
Choices:
Mac picks 10 pounds more than Jack
Jack picks 10 pounds more than Mac
Mac picks 5 more pounds than Jack
Jack picks 5 more pounds than Mac
Answer: D
Question: A, B and C have Rs.400 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
A)150
C)130
D)120
E)110
Answer: A
Question: Three positive integers a, b, and c are such that their average is 28 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?
Choices:
32
33
34
35
Answer: B
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
34
36
32
31
Answer: B
Question: A store reduced the price of all items in the store by 8% on the first day and by another 10% on the second day. The price of items on the second day was what percent of the price before the first reduction took place?
Choices:
80.9
81.0
81.1
82.8
Answer: D
Question: Noelle walks from point A to point B at an average speed of 5 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 8 kilometers per hour?
Choices:
7
7.25
7.5
20
Answer: D
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Choices:
159
166
170
180
Answer: B
Question: JAMES school has 2000 GIRLS and 5000 BOYS. What is the percentage increase from GIRLS to total attendance and BOYS to total attendance?
Choices:
40%
.4%
50%
12%
Answer: A
Question: A train passes a platform in 22 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Choices:
50
60
30
20
Answer: C
Question: A box contains twelve bulbs out of which seven are defective. If seven bulbs are chosen at random, find the probability that all the four bulbs are defective?
Choices:
1/792
1/789
1/689
1/126
Answer: A
Question: The remainder obtained when a prime number greater than 3 is divided by 3 is
Choices:
b) 2 or 4
c) 3 or 5
d) 4 or 5
e) 5
Answer: A
Question: The number of livestock in a farm at the beginning of year 2015 was 100,000. During the year, the number increased by p%. During the next year 2016, there was a famine and the number decreased by q%. A census at the end of year 2016 revealed that the number of livestock in the farm was 100,000. Which of the following expressions is correct?
Choices:
p > q
p = q
With the exception of 1 instance, p will be equal to q
There is no relation between p and q
Answer: A
Question: The average of 3 consecutive odd numbers is 30. What is the difference between the highest and lowest numbers?
Choices:
6
8
4
3
Answer: C
Question: x and y are positive integers of Q. If 1/x + 1/y < 2, which of the following must be true?
Choices:
xy>1
x/y + y/x < 1
(x - y)^2 > 0
None of the above
Answer: A
Question: Which one of the following is a prime number?
Choices:
2
74
25
21
Answer: A
Question: If p^2 – 13p + 40 = a, and p is a positive integer between 1 and 10, inclusive, what is the probability that a < 0?
Choices:
1/5
2/5
3/5
3/10
Answer: A
Question: What is the remainder when 47*50 is divided by 8?
Choices:
3
13
5
14
Answer: D
Question: Two numbers are in the ratio of 6 : 8. If 10 is subtracted from each, the new numbers are in the ratio 16 : 32. Find the smaller number.
Choices:
12
38
15
17
Answer: C
Question: There are 6 ball in bag out of them 4 green and 2 red, randomly picked two boll one by one so find the probabilty atleast one picked boll will be red?
Choices:
2/5
3/5
4/5
6/5
Answer: B
Question: A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is
Choices:
560 kg
600 kg
640 kg
None
Answer: B