antoine-444/aqua_rat_dataset huggingface dataset:
Question: There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of n?
Choices:
12
15
18
22
Answer: A
Question: Jim is now twice as old as Fred, who is nine years older than Sam. Six years ago, Jim was six times as old as Sam. How old is Jim now?
Choices:
34
38
42
46
Answer: C
Question: The average of 11 numbers is 9.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
Choices:
11.5
81.5
11.5
22.5
Answer: D
Question: A man has Rs. 80 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
15
75
90
105
Answer: A
Question: (128.5 x 32) + (13.8 x 30) = ? x 25
Choices:
556.02
574.36
181.04
595.46
Answer: C
Question: Two pipes A and B can fill a cistern in 37 ½ min and 45 minutes respectively. Both the pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after
Choices:
9 minutes
45 minutes
3 minutes
4 minutes
Answer: A
Question: If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =?
Choices:
6
−2
46
48
Answer: A
Question: Nine persons went to a hotel for taking their meals. Eight of them spent 14 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
Choices:
117
119
122
135
Answer: D
Question: What is the greater of the two numbers whose product is 2048, given that the sum of the two numbers exceeds their difference by 64?
Choices:
B)32
C)64
D)70
of these
Answer: B
Question: For an upcoming charity event, a male vocalist has agreed to sing 5 out of 8 “old songs” and 3 out of 7 “new songs.” How many ways can the singer make his selection?
Choices:
50
150
217.78
600
Answer: C
Question: On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?
Choices:
Friday
Monday
Tuesday
Surday
Answer: A
Question: [( 3.242 x 10 ) / 100] = ?
Choices:
4.5388
0.03242
473.88
None of these
Answer: B
Question: Profit selling 10 candles equals selling price of 3 bulbs. While loss on selling 10 bulbs equal selling price of 4 candles. Also profit percentage equals to the loss percentage and cost of a candle is half of the cost of a bulb. What is the ratio of selling price of candles to the selling price of a bulb?
Choices:
3:2
4:5
3:4
NONE
Answer: A
Question: A room 3 m 21 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Choices:
27640
27647
27713
27675
Answer: C
Question: Jill has 42 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
Choices:
6
9
72
14
Answer: C
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
25
20
29
24
Answer: B
Question: The greatest number of four digits which is divisible by 10, 20, 15 and 60 is:
Choices:
9300
9400
9600
9900
Answer: D
Question: A,B,C invested the capitals in a business. If A invested Rs. 30,000 more thanC and B invested Rs.10,000 more than A, then how should a profit of Rs.15,000 be divided among A,B and C? Given : Capital of C is Rs.10,000
Choices:
6200, 5800, 3000
6000, 7500, 1500
6500, 5500, 3000
6000, 5250, 3750
Answer: B
Question: A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?
Choices:
3 : 9
3 : 3
3 : 4
3 : 1
Answer: C
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
7 : 3
9 : 2
13 : 4
15 : 8
Answer: A
Question: What is the greatest positive integer T such that 3^T is a factor of 9^10?
Choices:
T=9
T=10
T=20
30
Answer: C
Question: A farmer had d animals, all of which the farmer bought for the same price. The farmer decided to sell the animals. 20 of the animals were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, the farmer made neither a profit nor a loss. Which of the following is equal to d?
Choices:
26
28
30
36
Answer: C
Question: A batsman in his 12th innings makes a score of 65 and thereby increases his average by 3 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
32
44
45
46
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.25
6.29
6.39
6.13
Answer: A
Question: Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
Choices:
7
5
6
8
Answer: B
Question: There were two candidates in an election. Winner candidate received 55% of votes and won the election by 100 votes. Find the number of votes casted to the winning candidate?
Choices:
550
255
199
231
Answer: A
Question: A person invested in all 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is:
Choices:
600
800
1200
None of these
Answer: C
Question: There are 23 students in a class. In how many different ways can a committee of 3 students be formed?
Choices:
1482
1771
1875
1923
Answer: B
Question: What will come in place of the x in the following Number series? 2, 4, 8, x , 22
Choices:
16
12
14
43
Answer: C
Question: A pair of articles was bought for $50 at a discount of 20%. What must be the marked price of each of the article?
Choices:
$31.25
$29.65
$35.95
$45.62
Answer: A
Question: The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 35 kg. What is the weight of the new person?
Choices:
85 kg
95 kg
65 kg
55 kg
Answer: D
Question: If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
Choices:
887
585
2679
27
Answer: B
Question: In how many different ways can 3 boys and 3 girls sit on a bench such that the girls always sit together?
Choices:
108
120
132
144
Answer: D
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
9
6
4
Answer: A
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:
30/14 hours
37/13 hours
30/13 hours
30/19 hours
Answer: C
Question: Beth received 2/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 2/3 of the votes cast?
Choices:
2/7
3/10
7/20
4/9
Answer: D
Question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
2 1/2 hours
2 1/6 hours
2 1/1 hours
2 1/2 hours
Answer: D
Question: A 300 meter long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
278m
350m
200m
282m
Answer: C
Question: Find the least number of complete years in which a sum of money put out at 15% compound interest will be more than double of itself?
Choices:
5
7
8
9
Answer: A
Question: A baker filled with a measuring cup with 2/5 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. 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
21/40 cup
1/2 cup
7/8 cup
Answer: B
Question: A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
2.62
2.5
2.8
3.2
Answer: A
Question: do you know how many 2's are there between the terms 112 to 375?
Choices:
A)156
C)158
D)159
E)160
Answer: A
Question: The ratio between the present ages of P and Q is 5 : 8. After four years, the ratio between their ages will be 2 : 3. What is Q’s age at present?
Choices:
20 years
24 years
Data inadequate
None of these
Answer: D
Question: Today Jim is twice as old as Fred, and Sam is 2 years younger than Fred. Five years ago Jim was 5 times as old as Sam. How old is Jim now?
Choices:
12
16
20
24
Answer: C
Question: A shopkeeper sold an article offering a discount of 10% and earned a profit of 25%. What would have been the percentage of profit earned if no discount was offered?
Choices:
39%
15%
21%
28%
Answer: A
Question: A man purchased some fruits for Rs. 1000. He sold fruits worth 400 at 10% profit. At what profit per cent, must he sell the rest in order to gain 20% on the whole?
Choices:
26(2/3)%
30%
33(1/3)%
None
Answer: A
Question: Find the volume , curved surface area and the total surface area of a cylinder with diameter of base 7 cm and height 40 cm.
Choices:
957cm^2
954cm^2
958cm^2
None of them
Answer: A
Question: A thief is noticed by a policeman from a distance of 250 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
150
271
Answer: C
Question: Working simultaneously and independently at an identical constant rate, 20 machines of a certain type can produce a total of x units of product P in 4 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 8 days?
Choices:
30
35
38
40
Answer: A
Question: (6+√3+√5)^2-(√3+√5)^2=?
Choices:
36+12√3+12√5
1-√3+√5
1+√3-√5
√3+√5
Answer: A
Question: Two unbiased coins are tossed. Find the probability of getting two heads?
Choices:
1/3
1/4
2/3
3/5
Answer: B
Question: Find the odd man out. 742, 743, 633, 853, 871, 990, 532
Choices:
990
633
742
871
Answer: C
Question: The average monthly salary of 18 employees in an organisation is Rs. 2000. If the manager's salary is added, then the average salary increases by Rs. 200. What is the manager's monthly salary?
Choices:
Rs.5800
Rs.3600
Rs.3619
Rs.3610
Answer: A
Question: The area of a square is equal to nine times the area of a rectangle of dimensions 121 cm * 144 cm. What is the perimeter of the square?
Choices:
1800 cm
1584 cm
1718 cm
1086 cm
Answer: B
Question: (.24 x .35 ) / (.14 x .15 x .02) is equal to ?
Choices:
20
200
2000
None of these
Answer: B
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 50 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
88
45
99
22
Answer: B
Question: A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 424. What is the sum of the last 8 of the even integers?
Choices:
540
552
568
584
Answer: B
Question: In an election, candidate A got 70% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate.
Choices:
340000
347000
333200
357000
Answer: C
Question: If 80 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Choices:
(8) 20%
30%
50%
55%
Answer: D
Question: For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 2835 what is the least possible value of k?
Choices:
7
9
11
13
Answer: B
Question: On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after July 1 last year was what percent E of thatbeforeJuly 1 last year?
Choices:
99%
100%
101%
110%
Answer: A
Question: An exam paper consists of 5 problems, each problem having 3 internal choices. In how many ways can a candidate attempt one or more problems?
Choices:
1023
1030
1054
1060
Answer: A
Question: A 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
277 m
400 m
267 m
Answer: C
Question: If a 9 ton whale is divided into 2 equal large pieces and 3 equal small pieces, how much does a small piece weigh if all of the small pieces put together weigh as much as one of the large pieces?
Choices:
1 ton
2 tons
2 1/2 tons
3 tons
Answer: A
Question: W, S, Q, M, ?
Choices:
K
H
Y
S
Answer: A
Question: The sum of digits of a two digit number is 12,The difference between the digits is 6. Find the number
Choices:
93
83
72
None
Answer: A
Question: The sector of a circle has radius of 35 cm and central angle 135o. Find its perimeter?
Choices:
11.5 cm
91.8 cm
92.5 cm
152.5 cm
Answer: D
Question: ax ± b = c. All problems like the following lead eventually to an equation in that simple form.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
Choices:
28
24
22
20
Answer: A
Question: The probability of two events A and B are0.25 and 0.30 respectively. The probability that both A and B occur is 0.15. The probability that neither A nor B occur is _________
Choices:
0.4
0.5
0.05
0.6
Answer: D
Question: The daily high temperatures were recorded at an Antarctic weather station. If a temperature of -38.2 degrees Celsius is 2 units of standard deviation below the mean temperature, and a temperature of -22.6 degrees Celsius is 4 units of standard deviation above the mean, which of the following temperatures is 5 unit of standard deviation above the mean?
Choices:
-20.0 degrees Celsius
-30.4 degrees Celsius
-27.8 degrees Celsius
-25.2 degrees Celsius
Answer: A
Question: How long will a car take to run round a circular field of radius 2/π metres. If car runs at the rate of 8km/hr ?
Choices:
10 sec.
3 sec
2 sec
1.8 sec
Answer: D
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 15 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/75
1/25
1/50
1/900
Answer: A
Question: Let y = 2g + x^2 and g = 4x + 1.
If g^2 = 289, then which of the following can be a value of 2y + 3g?
Choices:
130
141
151
160
Answer: C
Question: For any number y, y* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.2 – 6.2*?
Choices:
1.2
1.8
2.2
4.0
Answer: C
Question: A high school had 1200 students enrolled in 2003 and 1500 students in 2006. If the student population P ; grows as a linear function of time t, where t is the number of years after 2003.
a) How many students will be enrolled in the school in 2010?
Choices:
1900
1700
1500
1600
Answer: A
Question: If selling price is doubled, the profit triples. Find the profit percent.
Choices:
100
316/3
120
None of these
Answer: A
Question: There are 20 boys and 15 girls are present in a class. If 5 student will chosen for a competition an at least two students must be girl?
Choices:
309128
251230
301000
100009
Answer: A
Question: Find avrg speed if a man travels at speed of 32km/hr up and 48km/hr dawn at an altitude of 230m.
Choices:
26.8
38.4
34.4
29.8
Answer: B
Question: 22 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
Choices:
28 m
120 m
137 m
None
Answer: A
Question: A farmer has three different crops on his farm; cabbage, carrots, and parsnips, where 10 percent of the crops are cabbage and 35 percent are carrots. If the farm produces 650 pounds of parsnips, and the weight of all crops are evenly distributed, how many pounds of crops are produced in total?
Choices:
2,000 pounds
10 pounds
1,000 pounds
100 pounds
Answer: C
Question: How many times are the hands of a clock at right angle in 2 weeks?
Choices:
616
661
116
666
Answer: A
Question: The number of stamps that P and Q had were in the ratio of 7:2 respectively. After P gave Q 15 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 2:1. As a result of the gift, P had how many more stamps than Q?
Choices:
35
45
55
65
Answer: B
Question: If the radii of umbra and penumbra cast by an object on a wall are of the ratio 2:6, what is the area of the penumbra ring around the umbra of the latter’s radius is 40 cms?
Choices:
40288.57cm^2
40488.57cm^2
40588.57cm^2
40688.57cm^2
Answer: A
Question: A, B and C start a business each investing 20,000. After 5 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 69,900 was recorded. Find the share of B.
Choices:
21,200
28,200
20,500
None of these
Answer: B
Question: There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)
Choices:
60.6%
70.6%
80.6%
90.6%
Answer: C
Question: In a 100 m race, A runs at 8km per hour. If A gives B a start of 6 m and still him by 15 seconds, what is the speed of B ?
Choices:
5.06 km/hr.
5.64 km/hr.
6.76 km/hr.
5.72 km/hr.
Answer: B
Question: A can finish a work in 10 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day?
Choices:
1/6
1/7
3/10
None of these
Answer: C
Question: Two persons start running simultaneously around a circular track of length 500 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
18 seconds
19 seconds
27 seconds
45 seconds
Answer: D
Question: The average (arithmetic mean) of four different positive integers is 12. 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:
4
3
2
1
Answer: B
Question: In the country of Celebria, the Q-score of a politician is computed from the following formula:
Q=(41ab^2c^3)/d2, in which the variables a, b, c, and d represent various perceived attributes of the politician, all of which are measured with positive numbers. Mayor Flower’s Q-score is 150% higher than that of Councilor Plant; moreover, the values of a, b, and c are 60% higher, 40% higher, and 20% lower, respectively, for Mayor Flower than for Councilor Plant. By approximately what percent higher or lower than the value of d for Councilor Plant is the corresponding value for Mayor Flower?
Choices:
25% higher
8% lower
20% lower
36% lower
Answer: C
Question: What is 985*985?
Choices:
964,219
964,549
965,019
970,225
Answer: D
Question: Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1100. What is the gain or loss in percentage?
Choices:
21%
23%
28%
27%
Answer: A
Question: The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 90/kg. how much did a kg of coffee cost in june ?
Choices:
60
80
90
120
Answer: C
Question: A man can row his boat with the stream at 30 km/h and against the stream in 14 km/h. The man's rate is?
Choices:
4 kmph
5 kmph
7 kmph
8 kmph
Answer: D
Question: If an object travels at five feet per second, how many feet does it travel in one hour?
Choices:
300
720
1800
18000
Answer: D
Question: The maximum gap between two successive leap year is?
Choices:
8
9
6
5
Answer: A
Question: What is the greatest integer that will always evenly divide the sum of four consecutive integers?
Choices:
3
4
6
12
Answer: B
Question: For any function Fn(x)=Fn−1(F(x))Fn(x)=Fn−1(F(x)) if for n > 1 also g(x) = 1/x, h(x) = x−−√x and k(x) = x2x2 then what is the value of g(h3(k2(x)))?
Choices:
1
7
6
12
Answer: A
Question: Which of the following must be subtracted from 2^526 so that the resulting integer will be a multiple of 3?
Choices:
1
3
5
6
Answer: A
Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
Choices:
23
24
25
26
Answer: D
Question: In an election between two candidates, the winner has a margin of 10% of the votes polled. If 3000 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
Choices:
22000
20000
25000
30000
Answer: D
Question: 28 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
Choices:
42
60
Data inadequate
None of these
Answer: A
Question: What is the are of an equilateral triangle of side 16 cm?
Choices:
84√3 cm2
64√9 cm2
64√3 cm2
66√3 cm2
Answer: C
Question: There is a plane contains 32 points.all the 32 points have equal distance from point x. which of the following is true .
Choices:
the distance from x to all 32 points is less than the distance between each other c. both a and b
both a and b
32
242
Answer: B
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
48
52
None of these
Answer: A
Question: John purchased some shirts and trousers for $1100. He paid $550 less for the shirts than he did for the trousers. If he bought 5 shirts and the cost of a shirt is $20 less than that of a trouser, how many trousers did he buy?
Choices:
5
6
7
11
Answer: D
Question: If X:Y is 1:5 and Y:Z is 5:7 then X:Z is equal to
Choices:
1:5
1:4
1:7
1:3
Answer: C
Question: If two integers x,y (x>y) are selected from -5 to 5 (inclusive), how many cases are there?
Choices:
55
65
70
75
Answer: A
Question: If 100 microns = 1 decimeter, and 1,000angstroms = 1 decimeter, how many angstroms equal 1 micron?
Choices:
0.0001
10
10,000
100,000
Answer: B
Question: A special municipal payroll tax charges not tax on a payroll less than $200,000 and only 0.1% on a company’s payroll above $200,000. If Belfried Industries paid $400 in this special municipal payroll tax, then they must have had a payroll of?
Choices:
$202,000
$220,000
$400,000
$600,000
Answer: D
Question: A military camp has a food reserve for 250 personnel for 40 days. If after 15 days 50 more personnel are added to the camp, find the number of days the reserve will last for?
Choices:
36
25
42
49
Answer: B
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 4 kmph, then the speed in downstream is?
Choices:
77
20
19
71
Answer: C
Question: In a fuel station the service costs $2.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
380$
420$
450$
462$
Answer: D
Question: If a fisherman catches 203128 shrimp while out and has to evenly split the catch between 9 restaurants, how many shrimp would he have left over?
Choices:
7
2
1
6
Answer: A
Question: A 15% item yields 30%. The market value of the item is:
Choices:
Rs. 55
Rs. 50
Rs. 60
Rs. 65
Answer: B
Question: Three-twentieths of the members of a social club are retirees who are also bridge players, Four-twentieths of the members are retirees, and one-half of the members are bridge players. If 110 of the members are neither retirees nor bridge players, what is the total number of members in the social club?
Choices:
200
360
400
480
Answer: A
Question: The radius of a semi circle is 5.2 cm then its perimeter is?
Choices:
32.48
26.74
32.9
32.31
Answer: B
Question: The ratio of two numbers is 3:4 and their sum is 42. The greater of the two numbers is?
Choices:
14
24
17
19
Answer: B
Question: In a particular year, the month of january had exactly 4 thursdays, and 4 sundays. On which day of the week did january 1st occur in the year.
Choices:
monday
tuesday
wednesday
friday
Answer: A
Question: Convert the following unit:
2.4 hectares in ares
Choices:
210 ares.
220 ares.
230 ares.
240 ares.
Answer: D
Question: If 2 men or 3 women can reap a field in 12 days how long will 4 men and 5 women take to reap it?
Choices:
11/36
14/24
18/36
2/24
Answer: A
Question: A boy has 11 trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
138ways
140ways
132ways
150ways
Answer: C
Question: If y = 30p, and p is prime, what is the greatest common factor of y and 12p, in terms of p?
Choices:
5p
6p
7p
p^2
Answer: B
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Choices:
93.33%
23.33%
33.33%
83.33%
Answer: D
Question: The unit digit in the product (445 * 534 * 999 * 234) is:
Choices:
0
6
5
1
Answer: A
Question: A pair of articles was bought for $360 at a discount of 10%. What must be the marked price of each of the article?
Choices:
$200
$350
$400
$600
Answer: A
Question: Of the 400 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
Choices:
100
115
130
260
Answer: D
Question: Jim bought edging to go around a circular garden with a radius of 5 feet. Later he decided to
double the diameter of the garden. How many more feet of edging must he buy?
Choices:
48.84' additional edging
31.40' additional edging
18.84' additional edging
58.84' additional edging
Answer: B
Question: The difference between the local value and the face value of 7 in the numeral 32675149 is
Choices:
64851
5149
69993
None of these
Answer: C
Question: The average age of boys in a class is 16 years and that of the girls is 15 years. What is the average age for the whole class?
Choices:
16
15.5
Insufficient Data
17
Answer: C
Question: A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months, B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit.
Choices:
A - Rs. 1600, B - Rs. 1800, C - Rs. 1680
A - R,s. 1800, B - Rs. 1500, C - Rs. 1780
A - Rs. 1400, B - Rs. 1900, C - Rs. 1780
None of these
Answer: A
Question: Four different objects 1,2,3,4 are distributed at random in four places marked 1,2,3,4. What is the probability that none of the objects occupy the place corresponding to its number?
Choices:
3/8
1/2
5/8
5/3
Answer: B
Question: Of the families in City X in 1991, 60 percent owned a personal computer. The number of families in City X owning a computer in 1993 was 20 percent greater than it was in 1991, and the total number of families in City X was 9 percent greater in 1993 than it was in 1991. what percent of the families in City X owned a personal computer in 1993?
Choices:
55%
63%
66%
68%
Answer: C
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 35600
. What percentage of profit did he make?
Choices:
49%
40%
60%
90%
Answer: C
Question: John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
Choices:
46.5%
66.5%
76.5%
96.5%
Answer: B
Question: A and B can do a piece of work in 7 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in?
Choices:
9 1/3
30
88
11
Answer: A
Question: A committee of three students has to be formed. There are six candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
Choices:
4
5
6
8
Answer: C
Question: The simple interest on Rs. 10 for 4 months at the rate of 3 paise per rupeeper month is
Choices:
1.2
2.25
3.21
None
Answer: A
Question: If n is a positive integer, which of the following is a possible value of |36 - 5n|?
Choices:
14
12
15
20
Answer: A
Question: TOM traveled the entire 50 miles trip. If he did the first 15 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 45 miles per hour, what is the his average speed, in miles per hour?
Choices:
60.40mph
55.32mph
65.50mph
70.25mph
Answer: A
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
11
12
10.8
16
Answer: C
Question: John makes $50 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Choices:
16.66%
17.9%
18.12%
60%
Answer: D
Question: The salary of a person was reduced by 50%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Choices:
25%
50%
75%
100%
Answer: D
Question: A train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 90 miles per hour, what is the value of y?
Choices:
84
90
110
135
Answer: C
Question: The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 20-inch screen would be how many square inches greater than the area of a square 18-inch screen?
Choices:
4
16
38
40
Answer: C
Question: how many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
Choices:
10
15
20
25
Answer: C
Question: Two cars are 500 cm apart. each is moving forward for 100 cm at a velocity of 50 cm/s and receding back for 50 cm at 25cm/s at what time they will collide with each other.
Choices:
14 sec
12 sec
13 sec
15 sec
Answer: A
Question: What is the % change in the area of a rectangle when its length increases by 30% and its width decreases by30%?
Choices:
20% increase
20% decrease
9% decrease
Insufficient data
Answer: C
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150 cm2
189 cm2
146 cm2
161 cm2
Answer: A
Question: If the cost of 12 apples is $20. What would be the cost of 20 apples?
Choices:
29.36
33.33
35.56
38.24
Answer: A
Question: Income and expenditure of a person are in the ratio 10 : 8. If the income of the person is Rs. 10000, then find his savings?
Choices:
2002
2000
2001
2004
Answer: B
Question: The banker's gain on a bill due 1 year hence at 10% per annum is Rs. 20. What is the true discount?
Choices:
Rs. 200
Rs. 150
Rs. 250
None of these
Answer: A
Question: The first train leaves the station at 6:00 am with a speed of 60 km/hr. The second train leaves at 7:00 am, in the same direction from the same station, with a speed of 75 km/hr. What time will the second train catch the first train?
Choices:
11:00 am
12:00 noon
1:00 pm
2:00 pm
Answer: A
Question: The area of a square field is A square feet and the perimeter is p feet. If 6A=6(2p+9), what is the perimeter of the field, in feet? (Here A=a^2)
Choices:
36
40
56
84
Answer: A
Question: A is two years older than B who is twice as old as C.If the total of the ages of A,B nd C be 27,then how old is B ?
Choices:
8
9
10
11
Answer: C
Question: if 12401 is divided by any no. then quotient is 76 and remainder is 13.what is divisor?
Choices:
124
153
163
183
Answer: C
Question: Find the value of x from the below equation:
x^2−7x+10=0
Choices:
5 or 2
3 or 7
4 or 6
None
Answer: A
Question: A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 390 m long?
Choices:
35 sec
44 sec
40 sec
60 sec
Answer: D
Question: A jar of 180 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today?
Choices:
18
20
22
24
Answer: A
Question: A bicyclist's wheel has a circumference of 9 meters. if the bicyclist covers 180 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?
Choices:
3
4
5
6
Answer: B
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Choices:
259
364
370
372
Answer: B
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word APPLE could be arranged to create a five-letter code?
Choices:
5! − (2!)
5! − (3! × 2!)
5!/(2!)
6!/( 2!)
Answer: C
Question: The cost price of an book is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?
Choices:
28.02%
37.5%
30.5%
22%
Answer: B
Question: If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of 2(r − s)?
Choices:
16
− 2
− 3
− 5
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 72 m, find the area of the rectangle?
Choices:
376
299
324
111
Answer: C
Question: Tom, working alone, can paint a room in 12 hours. Peter and John, working independently, can paint the same room in 6 hours and 2 hours, respectively. Tom starts painting the room and works on his own for two hour. He is then joined by Peter and they work together for two hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
Choices:
1/3
7/3
4/9
3/5
Answer: C
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 5 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
487
481
729
600
Answer: D
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
Choices:
287
202
500
279
Answer: C
Question: If both 7^2 and 3^4 are factors of the number a*4^3*6^2*13^11, then what is the smallest possible value of a?
Choices:
256
343
441
512
Answer: C
Question: The average of first twelve prime numbers which are odd is?
Choices:
19.7
15.2
15.8
15.1
Answer: A
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:
270
295
360
None
Answer: A
Question: 16,25,36,72,144,196,225
Choices:
196
225
144
72
Answer: D
Question: Of the 3,600 employees of Company X, 12/25 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?
Choices:
40%
20%
12.5%
11.1%
Answer: A
Question: Train W leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
Choices:
8:45 am
9:00 am
9:30 am
Cannot be determined from the information given
Answer: A
Question: A car covers a distance of 10km in 12 minutes. If its speed is decreased by 5km/hr, the time taken by the car to cover the same distance will be?
Choices:
15min 45sec
13min 20sec
20min 4sec
30min 13sec
Answer: B
Question: Two cars cover the same distance at the speed of 50 and 62 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
250 km
224 km
216 km
204 km
Answer: A
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
269
207
480
271
Answer: C
Question: A man walking at the speed of 4 kmph crosses a square field diagonally in 3 minutes. The area of the field is:
Choices:
20000m2
19000m2
25000m2
15000m2
Answer: A
Question: During 2003, a company produced an average of 1,000 products per month. How many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 200% over its 2003 average?
Choices:
132,000
175,000
200,000
250,000
Answer: A
Question: Of the families in City X in 1992, 60 percent owned a personal computer. The number of families in City X owning a computer in 1993 was 50 percent greater than it was in 1992, and the total number of families in City X was 3 percent greater in 1993 than it was in 1992. what percent of the families in City X owned a personal computer in 1993?
Choices:
66.55%
91.23%
77.77%
87.37%
Answer: D
Question: In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be?
Choices:
1000
2866
2787
1121
Answer: A
Question: If b does not equal zero, and ab = b/5, what is the value of a?
Choices:
A)1/5
C)1/3
D)1/2
of the above
Answer: A
Question: 476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively
Choices:
7 and 5
8 and 4
8 and 5
None
Answer: C
Question: In a class of 69 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
Choices:
15
24
33
54
Answer: A
Question: Find the simple interest on $3000 for 3 years at 10% per annum?
Choices:
$900
$500
$600
$1000
Answer: A
Question: How many different positive integers are factors of 36 ?
Choices:
2
7
3
2
Answer: B
Question: A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 10% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
Choices:
s. 8400
s. 14000
s. 17000
s. 27000
Answer: A
Question: Car Z travels 48 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. How many miles does car Z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour?
Choices:
384
400
408.3
440
Answer: A
Question: In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 7% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
8
15
20
25
Answer: A
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
Choices:
81:121
81:126
81:124
81:122
Answer: A
Question: Which of the following points is closest to line y=x
Choices:
(2, 4)
(1, 1)
(2, -1)
(-2, 0)
Answer: B
Question: x and y are positive integers. If x is a prime factor of y^2 , which of the following MUST be true?
Choices:
x=y^2
y/x is even
x/y <=1
x+1 is also the prime factor of y^2
Answer: C
Question: How many numbers with 2 different digits can be formed using only the odd digits?
Choices:
20
40
60
120
Answer: A
Question: What is the least number of digits (including repetitions) needed to express 10^600 in decimal notation?
Choices:
b) 601
c) 101
d) 1000
e) 1001
Answer: A
Question: In a 2000 m race, A beats B by 100 meters or 40 seconds. Find the speed of B?
Choices:
2.5m/s
5m/s
7m/s
3m/s
Answer: A
Question: It takes 2 tons of copper ore and 4 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
Choices:
18 3/4
20
22 1/2
50
Answer: C
Question: If a fair coin is flipped seven times in a row, what is the probability that there will be at least one head and one tail?
Choices:
11/12
15/16
31/32
63/64
Answer: D
Question: A watch was sold at a loss of 10%. If it was sold for Rs.196 more, there would have been a gain of 4%. What is the cost price?
Choices:
s:1067
s:1278
s:1028
s:1400
Answer: D
Question: A WORKS TWICE AS FAST AS B. IF B CAN COMPLETE A WORK IN 12 DAYS INDEPENDENTLY, THE NUMBER OF DAYS IN WHICH A AND B CAN TOGETHER FINISH THE WORK IS:
Choices:
4 DAYS
8 DAYS
18 DAYS
NONE OF THESE
Answer: A
Question: John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 70 miles per hour, what is v in miles per hour?
Choices:
40
50
55
60
Answer: D
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.4000, what will be the difference between Q and R's share?
Choices:
5000
7282
2782
2729
Answer: A
Question: In the next Worldcup of cricket there will be 12 teams, divided equally in 2groups. Teams of eachgroup will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. 4top teams of this round will qualify for the semifinal round, where they play the best of 3matches. The Minimum number of matches in the next World cup will be
Choices:
49
53
55
58
Answer: B
Question: find the number, difference between number and its 3/5 is 62.
Choices:
153
154
155
156
Answer: C
Question: A team bought a total of 198 balls. If each player on the team bought at least 17 balls, then what is the greatest possible number of players on the team?
Choices:
11
23
24
25
Answer: A
Question: Every month Rani gives 65% of her salary to her mother. She spends 15% of her salary and saves the remainder. She saves $130 more than what she spends. What is her monthly salary?
Choices:
2400
2600
2800
3000
Answer: B
Question: If you select two cards from a pile of cards numbered 1 to 10, what is the probability that the sum of the numbers is less than 4?
Choices:
1/45
1/15
1/10
1/5
Answer: A
Question: The difference between a discount of 35% and two successive discounts of 20% and 20% on a certain bill was 22. Find the amount of the bill.
Choices:
200
2,200
Data inadequate
None of these
Answer: B
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
Choices:
2 km
8 km
6 km
9 km
Answer: C
Question: Rahim bought 27 books for Rs.581 from one shop and 20 books for Rs.594 from another. What is the average price he paid per book ?
Choices:
18
27
25
21
Answer: C
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10
88
566
222
Answer: A
Question: In a race of length L metres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)
Choices:
L(L-N) / L-M
L-N
M-N
M+
Answer: A
Question: By selling 16 pencils for a rupee a man loses 5%. How many for a rupee should he sell in order to gain 15%?
Choices:
12.95
17.56
16.56
15
Answer: A
Question: Four friends go to see a movie at the local movie theater and sit in a row together. If there are two friends who refuse to sit next to each other, how many 4-person seating arrangements are possible?
Choices:
8
10
12
24
Answer: C
Question: Tough and Tricky questions: Exponents.
If 2^(3x+2)*3^(2y-3) = 32^x*9^y, then x + y =
Choices:
-1
0
-5
-2
Answer: D
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 120 players took part in that tournament.
How many matches were played?
Choices:
88 matches.
77 matches.
66 matches.
119 matches.
Answer: D
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After 2 year A removed his money; B and C continued the business for two more year. If the net profit after 3 years be Rs.4000, then A's share in the profit is?
Choices:
289
220
400
640
Answer: D
Question: What is the probability of rolling a total of 8 with a single roll of two fair six-sided dice, each with the distinct numbers 1 through 6 on each side?
Choices:
1/6
2/7
5/36
1/2
Answer: C
Question: What is the smallest positive integer K such that the product of 2205 x K is a perfect square?
Choices:
5
15
25
63
Answer: A
Question: Which of the following will divide evenly into 347,456,520?
Choices:
3
11
13
none of these
Answer: A
Question: a, b, c, d, and e are positive consecutive odd integers and a < b < c < d < e.
If the sum of a+c+e is four less than the square of b, what is the product of de?
Choices:
35
53
99
143
Answer: C
Question: The Average of 11 results is 16, if the average of the 1st 6 results is 58 & that of the last 63. Find the 6th result.
Choices:
66
44
77
88
Answer: A
Question: Andrew started saving at the beginning of the year and had saved $200 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
Choices:
25%
44%
56%
70%
Answer: D
Question: Find the number of different ways in which 7^11 can be expressed as the product of three factors
Choices:
14
15
16
17
Answer: C
Question: 144 candies are distributed to children with the same number. What can’t be the range including the number of children?
Choices:
10~20
20~30
50~60
70~80
Answer: C
Question: For dinner, Sandy ate 200 grams of corn which was five times as much corn as she ate for lunch, and twice as much corn as she ate for breakfast. How much corn did Sandy eat in total?
Choices:
320
340
360
380
Answer: B
Question: Alice worked for three straight hours on her homework questions. If she solved 90 questions in the third hour, which was five times as many as she solved in the second hour, and three times as many questions as she solved in the first hour, how many questions did she solve in total?
Choices:
138
142
146
150
Answer: A
Question: Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $122 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
Choices:
720
1080
2200
3600
Answer: D
Question: If the diameter of circle R is 80% of the diameter of circle S, the area of circle R is what percent of the area of circle S?
Choices:
64%
84%
94%
34%
Answer: A
Question: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work?
Choices:
70 days
20 days
10 days
30 days
Answer: B
Question: If a fair coin is tossed five times, what is the probability of getting exactly three heads in a row?
Choices:
5/16
3/32
5/32
7/32
Answer: C