antoine-444/aqua_rat_dataset huggingface dataset:
Question: A rectangular lawn of dimensions 120 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
s.5100
s.3228
s.3922
s.3928
Answer: A
Question: How much water should be added to 15 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Choices:
25 liters
30 liters
32 liters
35 liters
Answer: A
Question: how many four digits numbers are formed such that the digits are in decreasing order
Choices:
180
190
200
210
Answer: D
Question: If 6 coins are tossed, how many different coin sequences will have exactly 3 tails, if all tails have to occur in a row?
Choices:
4
16
20
24
Answer: A
Question: The average score of a cricketer in 10 matches is 60 and in other 15 matches is 70. Then find the average score in all the 25 matches?
Choices:
48
65
66
72
Answer: C
Question: Ramu bought an old car for Rs. 43000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
B)16%
C)18%
D)22%
of these
Answer: A
Question: A shop keeper sell an article gets profit of 20% had he bought it for 20% less and sold it for Rs 120 less he would have still bought profit of 20% what is the cost price of article
Choices:
500
700
750
450
Answer: A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 5m, a, b, c being lengths of respective sides?
Choices:
6
4
9
1
Answer: B
Question: If the speed of x meters per second is equivalent to the speed of Y mile per hour, what is y in terms of x? (1 mile = 1609.34 meter)
Choices:
1.33x
2.23x
2.84x
3.13x
Answer: B
Question: Number X is 30% more than that of Number Y . Find what percent of Number Y is less than Number X ?
Choices:
26 1/3%
24 1/3%
23 1/3%
23 2/3%
Answer: C
Question: A house of 4 rooms is designed from 4 types of bedrooms and 3 types of bathrooms. The house must have at least 2 types of bedrooms and at least 1 type of bathroom. How many ways can this house be designed?
Choices:
4
12
30
38
Answer: C
Question: Ram and Krishna start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Ram meets Krishna at point C on the road which is 1000m away from starting point A and 500m away from point B. The time taken by Ram to reach point B is 10minutes. Find the time taken by krishna to go from B to A.?
Choices:
35 minutes
50 minutes
52 minutes
None of the above.
Answer: B
Question: Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 9 times the amount of the second solution?
Choices:
65.5
68
70
71.5
Answer: D
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
Choices:
38
99
27
71
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: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 25% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Choices:
20%
21%
25%
Cannot be determined
Answer: C
Question: How many odd 4-digit positive integers Q that are multiples of 5 can be formed without using the digit 3?
Choices:
648
900
1296
3240
Answer: A
Question: A shopkeeper cheats both his supplier and customer by using faulty weights. When he buys from the supplier, he takes 20% more than the indicated weight. When he sells to his customer, he gives the customer a weight such that 10% of that is added to the weight, the weight claimed by the trader is obtained. If he charges the cost price of the weight that he claims, find his profit percentage.
Choices:
32%
23.365%
22.109%
2%
Answer: A
Question: Among all sales staff at Listco Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 10% of Listco's sales staff. Listco employs 72 level-1 employees, 20 of whom are college graduates. How many sales staff members without college degrees are level-2 employees ?
Choices:
48
56
32
58
Answer: A
Question: A's salary is 50% more than B's. How much percent is B's salary less than A's?
Choices:
33.3%
45.6%
50%
25%
Answer: A
Question: 66 small identical cubes are used to form a large cube. How many more cubes are needed to add one top layer of small cube all over the surface of the large cube ?
Choices:
150
152
216
256
Answer: A
Question: If the sum of two numbers is 20 and the sum of their squares is 200, then the product of the numbers is
Choices:
44
100
88
48
Answer: B
Question: A container contains 40 liters of milk, From this container 4 liters of milk was taken out and replaced by water. This process was repeated further 2 times. How much milk is now contained by the container?
Choices:
29.16 liters
30.98 liters
42.15 liters
48.32 liters
Answer: A
Question: There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Choices:
1800
2600
3600
None of these
Answer: A
Question: In a 100 m sprint race Kelly was given a 3 m head start by Abel. If Abel lost the race to Kelly by a distance of 0.50 m, how many meters more would Abel need to overtake Kelly?
Choices:
18.4
17.5
19.9
21.5
Answer: C
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Choices:
41, 32
42, 33
43, 34
41, 44
Answer: B
Question: Rajesh, Sunil and Tarun enter into a partnership. Rajesh invested Rs.25000 and after one year he adds Rs.10,000 more. Sunil initially invests Rs.35,000 and after 2 years he withdraws Rs.10,000 and Tarun invests Rs.19,000 in the beginning only. Then ratio of their profits after 3 years will be
Choices:
05:30:00
05:30:00
05:30:00
None
Answer: D
Question: What is the tens' digit Q of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...?
Choices:
Q=3
Q=4
8
9
Answer: A
Question: If q>0, which of the following must be true?
Choices:
0 < q < 2
-1 < q < 1
-10 < q
1/100 < q
Answer: C
Question: If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 7 children have two children of the same sex and one of the opposite sex?
Choices:
2/3
1/4
7/64
3/5
Answer: C
Question: Two whole numbers whose sum is 100 cannot be in the ratio
Choices:
5:45
10:10
2:6
2:3
Answer: C
Question: If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 5 days. If he works at reduced efficiency, he can work without break and finish that same job in 5 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
Choices:
4/1
9/5
4/5
2/5
Answer: A
Question: If x is divisible by 2, 14, and 11, which of the following must be the least multiple of x?
Choices:
154
70
44
0
Answer: A
Question: To fill a cistern, pipes A,B and C take 20 minutes, 15 minute and 12 minutes resp. The time in minutes that the three pipes together will take to fill the cistern is
Choices:
5
8
3
9
Answer: A
Question: A factory produces x widgets per day. The factory's fixed costs are $8000 per day. The price per widget is $70 and the variable costs are $30 per widget. How many widgets need to be produced for profits of $5440 a day?
Choices:
90.33
168
224
311
Answer: D
Question: Excluding stoppages, the speed of a bus is 58 kmph and including stoppages, it is 40 kmph. For how many minutes does the bus stop per hour?
Choices:
19
10.5
11.35
None of these
Answer: A
Question: If (2^17)(25^S) = 5(10^m) what is the value of m ?
Choices:
8
15
16
17
Answer: D
Question: If f(x)=4x−1 and g(x)=2x+6 for all integers, which of the following is a possible value of g(f(x))?
Choices:
-17
0
8
20
Answer: D
Question: If 5 < x < 11 and y = x + 6, what is the greatest possible integer value of x + y?
Choices:
26
27
28
29
Answer: B
Question: Two whole numbers whose sum is 24 is the ratio
Choices:
1:3
1:6
2:3
2:5
Answer: A
Question: Reena took a loan of 1200 with simple interest for as many years as the rate of interest. If she paid 432 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
7
8
9
Answer: A
Question: In a recent election, Ms. Robinson received 3200 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
Choices:
0.06N+3200
0.4N+7200
0.1N+8000
0.06N+8000
Answer: A
Question: If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 140 pounds. What is Leo's current weight?
Choices:
80
100
110
120
Answer: A
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
7
6
9
5
Answer: C
Question: One side of a triangle has length 6 and a second side has length 4. Which of the following could be the area of the triangle?
I. 15
II. 12
III. 5
Choices:
II only
III only
II and III only
I, II and III
Answer: C
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
17 sec
88 sec
12 sec
Answer: A
Question: What is the smallest no. that should be added to 27452 to make it exactly divisible by 9?
Choices:
3
5
6
9
Answer: D
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 720 sq. feet, how many feet of fencing will be required?
Choices:
40
68
88
92
Answer: D
Question: The factorial expression 18!/12! is not divisible by which of the following integers?
Choices:
5
19
14
9
Answer: B
Question: John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment W that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
Choices:
a. 3/5
c.7/10
d.3/4
e.4/5
Answer: A
Question: If the ratio of x to y is 4 to 5, then (y-x)/(x+y)?
Choices:
-3/7
1/9
1
7/3
Answer: B
Question: In 10 years, A will be twice as old5as B was 10 years ago. If A is now 7 years older than B, the present age of B is
Choices:
37
39
41
42
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
4
6
9
2
Answer: A
Question: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Choices:
15 min
16 min
30 min
17 min
Answer: C
Question: A car after covering ½ of a journey of 100 km develops engine trouble and later travels at ½ of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is?
Choices:
25 kmph
28 kmph
29 kmph
21 kmph
Answer: A
Question: A sum of money is distributed among A,B,C,D in the proportion of 5:3:2:3. If A gets $1000 more than B, what is the C's share?
Choices:
$5000
$8000
$1500
$1000
Answer: D
Question: How many terms are there in 2, 4, 8, 16,..., 1024?
Choices:
11
12
10
8
Answer: C
Question: A trumpet section includes three musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?
Choices:
125
120
100
6
Answer: D
Question: What is the 14th digit to the right of the decimal point in the decimal equivalent of 82/11?
Choices:
3
1
5
7
Answer: C
Question: Find the area of a parallelogram with base 22 cm and height 21 cm?
Choices:
462 cm2
490 cm2
268 cm2
668 cm2
Answer: A
Question: If B takes 20% less time than A, to cover the same distance. What should be the speed of B, if A works at a rate of 10 km/hr?
Choices:
12.5 km/hr
15 km/hr
20 km/hr
25 km/hr
Answer: A
Question: A sequence of numbers a1a1, a2a2, a3a3,…. is defined as follows: a1=3a1=3, a_2 = 5, and every term in the sequence after a2a2 is the product of all terms in the sequence preceding it, e.g, a3=(a1)(a2)a3=(a1)(a2) and a4=(a1)(a2)(a3)a4=(a1)(a2)(a3). If an=tan=t and n>2n>2, what is the value of an+2an+2 in terms of t?
Choices:
t^2
t^3
t^4
t^8
Answer: C
Question: If a boat goes 7km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is ?
Choices:
13km/hr
85km/hr
2.8km/hr
5.98km/hr
Answer: A
Question: The ratio between speed of the two trains is 7:8. If the 2nd train runs 400 km in 4 hrs, what is the speed of the 1st train?
Choices:
87.5
87.7
87.6
43.3
Answer: A
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Choices:
2 : 3 : 4
6 : 8 : 9
4 : 6 : 8
None of these
Answer: A
Question: A loan shark made a loan of $100 to be repaid with $120 at the end of one month. What was the annual interest rate?
Choices:
220%
230%
240%
None of these
Answer: C
Question: In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of david, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Harold?
Choices:
1,296
2016
2,018
2,268
Answer: B
Question: Two squares are chosen on a chessboard at random. What is the probability that they have a side in common?
Choices:
1/18
63/64
1/9
2/9
Answer: A
Question: City X has a population 5 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?
Choices:
1:4
2:1
4:1
10:1
Answer: D
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 45kg. What is the weight of the new person?
Choices:
65 Kg
85 Kg
80 Kg
60 KG
Answer: A
Question: It takes John 15 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Choices:
8:00 a.m
7:50 a.m
6:50 a.m
9:50 a.m
Answer: A
Question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 10 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Choices:
1/200
1/56
1/54
1/53
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Choices:
2/26
2/21
2/22
4/21
Answer: B
Question: A train running at 54 kmph takes 20 seconds to pass a platform. Next it takes.12 sec to pass a man walking at 6 kmph in the same direction in which the train is going. Find the length of the train and the length of the platform
Choices:
125m
132m
140m
150m
Answer: C
Question: Two trains 140 m and 200 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.1 sec
10.6 sec
10.8 sec
12.24 sec
Answer: D
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Choices:
1000
2976
2988
7122
Answer: A
Question: On the xy-plane, each point on circle C has coordinates such
that x 0 and y 0. If the center of circle C is the point (3; 12),
what is the maximum possible area of C?
Choices:
9
24
32
64
Answer: C
Question: The distance between two stars is 6.52 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)
Choices:
2 × 10^5
5 × 10^7
7 × 10^7
9 × 10^8
Answer: A
Question: The distance between two planets is 3.02 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)
Choices:
9.3 × 10^5
9.3 × 10^7
9.9 × 10^7
10.1 × 10^8
Answer: A
Question: A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?
Choices:
10.8
26.2
17.8
12.9
Answer: A
Question: What is the greatest prime factor of 4^18 - 2^28?
Choices:
3
5
7
127
Answer: D
Question: In 1995, there are 28 days in February and there are 365 days in the year. In 1996, there are 29 days in February and there are 366 days in the year. If the date March 15, 1995 is a Monday, then which one of the following would the date March 15, 1996 be?
Choices:
Tuesday
Friday
Wednesday
Friday
Answer: C
Question: 15c6+15c7+16c8=== 17cx
find x?
Choices:
7
8
9
10
Answer: C
Question: Find the value of X, Y by solving the below equations
X + Y = 16
X - Y = 14
Choices:
14, 2
15, 1
13, 3
11, 5
Answer: B
Question: A man's speed with the current is 16 km / hr and the speed of the current is 2 km / hr. The man's speed against the current is
Choices:
9 km / hr
12 km / hr
12.5 km / hr
None
Answer: B
Question: If $ 5,000 is invested in an account that earns 4% interest compounded semi-annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8% simple yearly interest?
Choices:
$ 4
$ 12
$ 16
$ 432
Answer: A
Question: The price of a T.V. set worth Rs. 12000 is to be paid in 20 installments of Rs. 1200 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
10800
27098
19000
2799
Answer: A
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph,then the speed of the boat in still water is :
Choices:
9 km/hr
13 km/hr
21 km/hr
None of these
Answer: B
Question: The cost per unit of electricity during a 4 year period is as follows:
Year 1, $2 per unit;
Year 2, $3 per unit;
Year 3, $4 per unit;
Year 4, $5 per unit.
If a factory spent equal dollars on electricity each year, what was the average cost of a unit of electricity during the 4 year period?
Choices:
$3.62
$5.12
$3.12
$4.12
Answer: C
Question: If x and y are odd integers, which of the following must always be a non-integer
Choices:
xy/4
x/y
y/x
-xy
Answer: A
Question: A person walking at the rate of 5 km/hr crosses a bridge in 15 minutes. Find the length of the bridge
Choices:
1250
1224
1300
500
Answer: A
Question: When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.2 centimeter. The actual diameter of the tissue, in centimeters, is
Choices:
0.002
0.001
0.0005
0.0002
Answer: D
Question: A car travels at a speed of 12 miles per hour. How far will it travel in 5 hours?
Choices:
60 miles
72 miles
22 miles
62 miles
Answer: A
Question: If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in 35 overs in an ideal case scenario?
Choices:
1158
1653
1654
None
Answer: A
Question: A box contains 4 yellow balls and 6 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choices:
1/2
5/8
3/5
3/4
Answer: C
Question: The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n?
I. 50
II. 70
III. 92
Choices:
III only
I and II
I​ and III
II and III
Answer: C
Question: The ratio of cats to dogs to birds to fish is 2:3:4:5. There are no other types of animals in the pet store.which of the followingcannotbe the total number of animals in the store?
Choices:
42
56
70
77
Answer: D
Question: Lally's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Lally makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $0?
Choices:
24
25
26
13
Answer: B
Question: A fair 2 sided coin is flipped 7 times. What is the probability that tails will be the result at least twice, but not more than 7 times?
Choices:
119/128
114/210
121/141
104/117
Answer: A
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Choices:
1/3
2/7
3/5
1/7
Answer: A
Question: The cricket team of 11members is 26yrs old & the wicket keeper is 3yrs older. If the ages ofthese 2are excluded, the average age of the remainingplayers is 1 year less than the average age of the whole team. What is the average age of the team ?
Choices:
21
23
25
27
Answer: B
Question: 2 men catch 2 fish in 2 minutes. At this rate, how many men could catch 500 fish in 500 minutes?
Choices:
2
6
500
0
Answer: A
Question: Right triangleXYZ is the base of the prism in the figure above. If XY=XZâˆš4 and the height of the prism is 5, what is the volume of the prism?
Choices:
15/2
4
2/5
6/8
Answer: A
Question: A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 4,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
7.25%
7.76%
8.33%
8.75%
Answer: C
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Choices:
2088
26788
8112
1871
Answer: C
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
Choices:
1,20,000
1,20,001
1,20,002
1,20,004
Answer: A
Question: In a certain game, you perform three tasks. You flip a quarter, and success would be tails. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If any of these task are successful, then you win the game. What is the probability of winning?
Choices:
11/16
11/12
5/16
23/48
Answer: A
Question: If a code word is defined to be a sequence of different letters chosen from the 8 letters A, B, C, D, E, F, G, AND H, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?
Choices:
4
5
10
12
Answer: A
Question: A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days,then B alone could do it in :
Choices:
20 days
25 days
30 days
None of these
Answer: B
Question: How many days are there in x weeks x days
Choices:
8x
7x2
7
8
Answer: A
Question: Find the L.C.M of 20,50,100
Choices:
400
600
800
1000
Answer: A
Question: In how many T ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order?
Choices:
768
792
840
876
Answer: C
Question: There are 8436 steel balls, each with a radius of 1 cm, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth and so on. the number of horizontal layer on the pile is
Choices:
38
36
32
None
Answer: B
Question: A shopkeeper loses 15%,if an article is sold for Rs. 119. What should be the selling price of the article to gain 20%?
Choices:
s.168
s.144
s.129
s.112
Answer: A
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 48 kmph, find the speed of the stream?
Choices:
16 kmph
14 kmph
11 kmph
13 kmph
Answer: A
Question: 0.1+0.1^2+ 0.1^3=
Choices:
0.111
0.1221
0.2341
0.3
Answer: A
Question: All of the stocks on the over-the-counter market are designated by either a 6-letter or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
b. 26(26^4)
c. 27(26^4)
d. 26(26^5)
e. 27(26^5)
Answer: D
Question: A Bus running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the Bus?
Choices:
150 metres
130 metres
120 metres
110 metres
Answer: A
Question: A train 200 m long crosses a platform 150 m long in 20 sec; find the speed of the train?
Choices:
63
65
70
83
Answer: A
Question: Income and expenditure of a person are in the ratio 3 : 2. If the income of the person is Rs. 21000, then find his savings?
Choices:
7000
8000
9000
10000
Answer: A
Question: 72 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choices:
B)99
C)66
D)55
E)88
Answer: D
Question: If q and r are both odd numbers M, which of the following must also be odd?
Choices:
(q + r)^2
q(q + r)
(qr)^2
q/r
Answer: C
Question: If W is a positive integer, which of the following must be odd?
Choices:
W^2W
W^2+W+1
x^2−1
3x^2−3
Answer: B
Question: A can finish a work in 6 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
Choices:
5
5.5
2
8
Answer: C
Question: A certain bacteria colony doubles in size every day for 10 days, a which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
Choices:
9
10 
15 
19 
Answer: A
Question: How many terms are in the G.P. 3, 6, 12, 24, ......., 3072 ?
Choices:
9
11
5
2
Answer: B
Question: Convert 50miles into yards?
Choices:
35200 yards
88000 yards
42560 yards
41520 yards
Answer: B
Question: The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
Choices:
140
120
160
180
Answer: B
Question: Eshan and Mary each wrote two or three poem every day over a period of time eshan wrote 43 poems while Mary wrote 61. The number of days in this period is.....
Choices:
21
20
18
17
Answer: A
Question: What is the product of all positive factors of 25?
Choices:
324
125
150
175
Answer: B
Question: A truck rental agency has the following terms. If a truck is rented for 8 hours or less the charge is RS.100 per hour or RS.8 per km whichever is more. On the other hand , if the truck is rented for more than 8 hours,the charge is RS.80 per hour or RS.6 per km whichever is more. A company rented a truck from the agency, and used it for 120 km and paid RS.800. For how many hours did the company rent the truck?
Choices:
8
10
12
16
Answer: B
Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
Choices:
16
8
1
2
Answer: A
Question: If f(x) + f(1 - x) + f(1 + x) + f(2 + x) = 2x for all real value of x. If f(0) = 1, then find the value of f(4)
Choices:
2
8
7
9
Answer: A
Question: In a recent election, James received 2.1 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 46 percent of the vote. How many additional votes would James have needed to win the election?
Choices:
879
990
991
1,001
Answer: A
Question: Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Paul and 40% of his income to Quentin, Quentin's new income would be what fraction of Paul's new income?
Choices:
13/17
22/30
12/19
11/19
Answer: B
Question: The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
777
282
266
235
Answer: D
Question: Find the least number which when divided by 37 and 7 leaves a remainder of 2 in each case.
Choices:
261
263
265
267
Answer: A
Question: The circus sells two kinds of tickets: lower seats for $30 and upper seats for $20. On a certain night, the circus sells 80 tickets and gets $2100 in revenue from the sales. How many tickets for lower seats did they sell?
Choices:
45
50
55
60
Answer: B
Question: The length of the room is 3m and width is 3m. Find the cost of paving the floor by slabs at the rate of Rs.300 per sq meter?
Choices:
1800
1700
1600
1540
Answer: A
Question: If a farmer wants to plough a farm field on time, he must plough 90 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?
Choices:
2490
3780
4235
6179
Answer: B
Question: If A got 80 marks and B got 40 marks, then what percent of A's mark is B's mark?
Choices:
B)80%
C)50%
D)75%
of these
Answer: B
Question: The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 4 and 6 slices per customer. How many slices cannot be bought?
Choices:
38.
54.
33.
18.
Answer: C
Question: A person takes 5 hrs 45 min in walking to a place and riding back. He would have gained 1 hour by riding both ways. The time he would take to walk both ways is?
Choices:
5 hours 55 min
6 hours 45 min
7 hours 45 min
8 hours
Answer: B
Question: if p is a positive integer greater than 8, which of the following must be divisible by 4?
Choices:
p(p-1)(p+3)(p+4)
p(p-3)(p+2)(p+4)
p(p-3)(p+2)(p+3)
p(p+1)(p+3)(p+4)
Answer: C
Question: Sum of the numbers from 1 to 25 is
Choices:
325
320
105
None of these
Answer: A
Question: Set S consists of integers {2,3,4,5}. If two numbers are chosen from set S at random, what is the probability that the product of 2 numbers is more than 10?
Choices:
1/2
2/5
3/7
1/6
Answer: A
Question: A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:
Choices:
3
4
5
6
Answer: A
Question: Express of the following as a fraction:
44%
Choices:
11/25
11/25
17/25
None of them
Answer: A
Question: What is the probability of getting a sum 9 from two throws of a dice?
Choices:
1/9
2/9
2
2/3
Answer: A
Question: How many multiples of 4 are there between 12 and 92, inclusive?
Choices:
21
23
24
25
Answer: A
Question: A train passes a station platform in 45 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
375 m
240 m
187 m
186 m
Answer: A
Question: A mailman puts .05% of letters in the wrong mailbox. How many deliveries must he make to misdeliver 2 items?
Choices:
4000
40
40000
4500
Answer: A
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
Choices:
0.5904
0.5901
0.5916
0.5925
Answer: A
Question: In Company A, the total monthly payroll for the 12 factory workers is $18,000 and the total monthly payroll for the 40 office workers is $100,000. By how much does the average (arithmetic mean) monthly salary of an office worker exceed that of a factory worker in this company?
Choices:
$700
$800
$900
$1000
Answer: D
Question: What is the place value of 4 in the numeral 57468?
Choices:
400
4000
4
46
Answer: A
Question: How many different subset of the set {I, II, III, IV, V, VI, VII, VIII, IX) do not contain V.
Choices:
282
285
283
281
Answer: C
Question: Java House charges $4.25 for a cup of coffee that costs a total of $3.85 to make. Cup'O'Joe charges $4.80 for a cup that costs $4.65 to make. If Java House sells 55,000 cups of coffee, how many must Cup'O'Joe sell to make at least as much in total gross profit as its competitor does?
Choices:
8,301
14,667
63,840
146,667
Answer: D
Question: In a forest 160 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Choices:
750
1,250
1,600
2,500
Answer: C
Question: If each term in the sum T=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: B
Question: When x + p is divided by p - 2, the quotient is n and there is no remainder. Which of the following must be the value of x?
Choices:
n(p − 1)
p(n + 1) + 2n
p(n - 1) + 2n
n(p + 1) (p − 1)
Answer: C
Question: Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
3
4
5
Answer: C
Question: What was the day of the week on, 16th July, 1776?
Choices:
Tuesday
Monday
Saturday
SUNDAY
Answer: A
Question: A horse is tethered to one corner of a rectangular grassy field 45 m by 25 m with a rope 22 m long. Over how much area of the field can it graze?
Choices:
380 m2
350 m2
407 m2
None of these
Answer: A
Question: A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Choices:
25 hrs
35 hrs
Cannot be determined
None of these
Answer: B
Question: If 0 < a < b < c < 1 , which of the following are positive?
I.	b-c
II.	a-b
III.	c-a
Choices:
II only
III only
I and II
I and III
Answer: B
Question: Evaluate combination
100C97=100!/(97)!(3)!
Choices:
161700
141700
131700
None of these
Answer: A
Question: Find the area of trapezium whose parallel sides are 26 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
299
330
161
212
Answer: B
Question: X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.14080 ?
Choices:
4000
3250
3825
4096
Answer: D
Question: Two persons start running simultaneously around a circular track of length 300 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
10 seconds
Answer: C
Question: If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265
Choices:
Rs. 800
Rs. 850
Rs. 900
None of these
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
12
17
19
10
Answer: A
Question: A meeting has to be conducted with 5 managers.Find the number of ways in which the managers may be selected from among 8 managers,if 2 managers will not attend the meeting together.
Choices:
2.91
3.12
4.36
5.15
Answer: C
Question: If 0.25 of a number is equal to 0.05 of another number, the ratio of the numbers is :
Choices:
3 : 4
1 : 5
20 : 5
30:7
Answer: B
Question: The average weight of A,B,C is 45 Kg. The avgwgt of A & B be 40Kg & that of B,C be 43Kg. Find the wgt of B.
Choices:
43
21
31
43
Answer: C
Question: A family made a down payment of $20
and borrowed the balance on a set of
encyclopedias that cost $120. The
balance with interest was paid in 7
monthly payments of $15.2 each and a
final payment of $7. The amount of
interest paid was what percent of the
amount borrowed?
Choices:
12%
13.4%
16%
20%
Answer: B
Question: If x^2 = 161, which of the following is closest to a potential value of x?
Choices:
-11
12
13
131
Answer: C
Question: What least number should be subtracted from 1398 so that the remainder when divided by 7, 9, and 11 will leave in each case the same remainder 5 ?
Choices:
7
8
10
11
Answer: A
Question: If 1 + 9 + 11 = 1, Then what is the value of
12 + 11 + 9 = ?
Choices:
7
11
9
10
Answer: D
Question: If 90% of A =30% of B and B=x% of A, then the value of x is?
Choices:
300
700
400
None of these
Answer: A
Question: During the first two weeks of May, the total rainfall in Springdale was 35 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall in inches during the second week of May?
Choices:
15
18
21
24
Answer: C
Question: An athlete runs 200 metres race in 25 seconds. What is his speed?
Choices:
38
37
30
28.8
Answer: D
Question: If 5 machines can produce 20 units in 10 hours, how long would it take 25 to produce 100 units?
Choices:
9
6
10
2
Answer: C
Question: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work?
Choices:
88
27
14
99
Answer: C
Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 1440, find the total rent of the field.
Choices:
6500
4250
2250
3250
Answer: A
Question: Which of the following is equal to (x+2)!/x!?
Choices:
1+(1/x)
1
x+1
(x+1)(x+2)
Answer: D
Question: A can do a job in 8 days and B can do it in 20 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
11 3/7 days
23 ½ days
12 ½ days
None of these
Answer: A
Question: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Choices:
99
28
20
87
Answer: C
Question: The price of 3 tables and 4 chairs is Rs. 3300. With the same money one can buy 2 tables and 10 chairs. If one wants to buy 1 table and 1 chair, how much does he need to pay?
Choices:
Rs.1050
Rs.1040
Rs.950
Rs.960
Answer: A
Question: All the stocks on the over-the-counter market are designated by either a 6 letter or 5 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
26(26^4)
27(26^6)
26(26^5)
27(26^5)
Answer: B
Question: If (10^86) – 23 is written as a base 10 integer, which of the following options is the sum of the digits in that integer?
Choices:
775
790
730
770
Answer: D
Question: On dividing 109 by a number, the quotient is 9 and the remainder is 1. Find the divisor.
Choices:
12
16
18
22
Answer: A
Question: m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 21) both lie on the line defined by the equation x = (y/7) - (2/5), what is the value of p?
Choices:
2
3
4
5
Answer: B
Question: Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
60 m
56 m
67 m
70 m
Answer: A
Question: A student was asked to find 4/5 of a number. But the student divided the number by 4/5, thus the student got 36 more than the correct answer. Find the number.
Choices:
70
80
90
100
Answer: B
Question: Every year an amount increases by 1/6th of itself. How much will it be after two years if its present value is Rs.64000?
Choices:
87111
81008
81066
81022
Answer: A
Question: Find the missing number: ? - 1936248 = 1635773
Choices:
3572012
3770221
3570221
None of them
Answer: A
Question: The perimeter of one square is 40 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
11.2√2
23√2
12√4
13√9
Answer: A
Question: If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person. If there were 2 other contributions made before john's, what is the size of his donation?
Choices:
$125
$200
$250
$450
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?
Choices:
112 sq.cm
116 sq.cm
120 sq.cm
130 sq.cm
Answer: C
Question: P sells an article to Q at 10 % profit. Q sells it to R at 25 % profit. If R pays Rs. 250 for it, What did P pay for it ?
Choices:
Rs. 181.81
Rs. 181.82
Rs. 181.89
Rs. 181.812
Answer: A
Question: If 4 women can color 48 m long cloth in 2 days, then 6 women can color 36 m long cloth in
Choices:
3 days
1 day
4 days
5 days
Answer: B
Question: Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio W of the number of hours Ann spends driving to the meeting to the number of hours Bob spends driving to the meeting?
Choices:
3:2
4:3
2:3
3:8
Answer: A
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.840 find the share of A.
Choices:
388
379
277
320
Answer: D
Question: 3x^2-6x+3 = 0
Find the above equation find the value of x
Choices:
1
2
4
5
Answer: A
Question: If x#y is defined to equal x^2/y for all x and y, then (-1#2)#2 =
Choices:
1/3
1/12
1/8
-4/3
Answer: C
Question: A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability Z that the game will end after the fourth throw?
Choices:
3/32
1/8
3/16
1/4
Answer: B
Question: A rectangular lawn of dimensions 70 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
s.3900
s.3228
s.3922
s.3600
Answer: D
Question: A team of eleven footballers has an average height of 170 cm. Four footballers whose average height is 140 cm, left the team and four new others whose average height is 124 cm, joined. Calculate the new average height of the footballers (in cm) is?
Choices:
154.2 cm
364.2 cm
124.2 cm
164.2 cm
Answer: D
Question: A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas all the square.
Choices:
32 Cm2
20 Cm2
64 Cm2
None of these
Answer: A
Question: If f(a)=4a-6, what is the value of (f(5a)-f(a))/2 ?
Choices:
12a-6
5a/6
4a-6
20a+6
Answer: A
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
238
500
288
211
Answer: B
Question: If the time is currently 1:30pm, what time will it be in exactly 842 hours?
Choices:
3:30am
12:30pm
2:30pm
10:30pm
Answer: A
Question: n is a positive integer, and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1440, then the smallest possible value of n is
Choices:
8
16
18
24
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Choices:
800
821
897
828
Answer: A
Question: If the cost price is 75% of the selling price, then what is the profit percent?
Choices:
11%
13%
21%
33%
Answer: D
Question: A small library has an average of 510 visitors on Sundays and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday?
Choices:
300
285
400
450
Answer: B
Question: The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 50 kmph its consumption is 1 litre per hour. if each litre costs $30 and other expenses per hous is $ 20, then what would be the minimum expenditure required to cover a distance of 400 Km?
Choices:
400
250
350
450
Answer: A
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 68.What score does he need on his fifth round to drop his average score by 2 points?
Choices:
58
78
88
312
Answer: A
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
5
8
7
3
Answer: B
Question: How many numbers from 13 to 76 are exactly divisible by 10?
Choices:
6
9
11
12
Answer: A
Question: A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $2,500 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week?
Choices:
30%
35%
40%
45%
Answer: C
Question: Three tenths of the wooden toys were painted blue and one fourth of them were painted green.
Half of the remaining toys were painted red and half were painted yellow. If 300 toys are blue, how
many are there of yellow toys?
Choices:
246
321
225
437
Answer: C
Question: The function f is defined for all positive integers t by the following rule. f(t) is the number of positive integers each of which is less than t and has no positive factor in common with t other than 1. If p is any prime, number then f(p)=
Choices:
p-1
(p+1)/2
(p-1)/2
2
Answer: A
Question: When y is divided by 264, the remainder is 42. What is the remainder when the same y is divided by 22?
Choices:
14
16
18
20
Answer: D
Question: The area of one square is x^2 + 10x + 25 and the area of another square is 4x^2 − 12x + 9. If the sum of the perimeters of both squares is 64, what is the value of x?
Choices:
2
4.8
4.67
10
Answer: B
Question: A man can row upstream at 12kmph and downstream at 16 kmph. The speed of the stream is
Choices:
2 km/hr
5 km/hr
10 km/hr
None
Answer: A
Question: In a class there are 18 boys and 10 girls. In how many ways can a boy and a girl be selected?
Choices:
180
277
266
255
Answer: A
Question: I bought two books; for Rs.420. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
245
189
278
268
Answer: A
Question: The charge for a single room at Hotel P is 20 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?
Choices:
20%
12.5%
50%
150%
Answer: B
Question: How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 7, and the digit 2 can be used only once?
Choices:
150
225
300
320
Answer: A
Question: The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is selected at random from the container, the probability that the widget selected is defective is 0.063. What is the value of x?
Choices:
0.02
0.04
0.05
0.055
Answer: D
Question: There are 9 novel books, 4 drama books, 12 poetry books and 7 grammar books in my bookshelf. The books are randomly arranged in the shelf and not at all in the order of their type. What is the least number of books that must be drawn from the shelf in order to get 6 books of a particular type?
Choices:
20
25
28
None of these
Answer: A
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
6
2
3
8
Answer: C
Question: What is the difference between the largest number and the least number written with the digits 6, 3, 2, 5?
Choices:
4176
2077
2721
1812
Answer: A