antoine-444/aqua_rat_dataset huggingface dataset:
Question: The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
Choices:
Rs.3618
Rs.3600
Rs.3619
Rs.3610
Answer: B
Question: 1/6 = 4/5 . which method did you use to determine whether this proportion is true or false?
Choices:
true
false
not sure
none
Answer: A
Question: During a certain season, a team won 70 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Choices:
170
156
150
100
Answer: D
Question: You have been given the task of transporting 3,000 apples 1,000 miles from Appleland to Bananaville. Your truck can carry 1,000 apples at a time. Every time you travel a mile towards Bananaville you must pay a tax of 1 apple but you pay nothing when going in the other direction (towards Appleland).
What is highest number of apples you can get to Bananaville?
Choices:
833
916
1123
907
Answer: A
Question: In how many different ways can 5 girls and 6 boys form a circle such that the boys and the girls alternate?
Choices:
14000
12000
14400
None of these
Answer: C
Question: When a Bike is sold for Rs. 63,000, the owner loses 10%. At what price must that Bike be sold in order to gain 10%?
Choices:
75000
76000
77000
78000
Answer: C
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Choices:
1200
2887
1688
2768
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/15
22/35
21/35
Answer: A
Question: In a bag, there are six 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum?
Choices:
60
61
84
960
Answer: B
Question: Sandy is younger than Molly by 14 years. If their ages are in the respective ratio of 7:9, how old is Molly?
Choices:
45
54
63
72
Answer: C
Question: A cyclist rides a bicycle 7 km at an average speed of 10 km/hr and again travels 10 km at an average speed of 7 km/hr. What is the average speed for the entire trip?
Choices:
7.79
7.99
8.19
8.39
Answer: B
Question: Last year, for every 100 million vehicles that traveled on a certain highway, 80 vehicles were involved in accidents. If 4 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices:
3200
800
400
200
Answer: A
Question: In track last week, the boys ran sixteen laps. The girls ran four more
laps. Each lap is a quarter of a mile. How many miles did the girls run?
Choices:
2 miles
5 miles
9 miles
7 miles
Answer: B
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:
10.9
10.2
10.8
18.8
Answer: C
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 9 m wide at the top and 7 m wide at the bottom and the area of cross-section is 560 sq m, the depth of cannel is?
Choices:
28
70
80
71
Answer: B
Question: The volume of the sphere QQ is (dfrac{37}{64}%)less than the volume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP?
Choices:
68%
75%
85%
95%
Answer: B
Question: On January 1, 2076, Lake Loser contains x liters of water. By Dec 31 of that same year, 2/7 of the x liters have evaporated. This pattern continues such that by the end of each subsequent year the lake has lost 2/7 of the water that it contained at the beginning of that year. During which year will the water in the lake be reduced to less than 1/4 of the original x liters?
Choices:
2078
2079
2080
2081
Answer: C
Question: In a group of 6 boys and 4 girls are to be selected. In how many different ways can they be selected such that at least one boy should be there ?
Choices:
209
210
225
221
Answer: A
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Choices:
1250 m2
1210 m2
1200 m2
1300 m2
Answer: B
Question: How many 4-digit positive integers are there, where each digit is positive, and no 4 adjacent digits are same?
Choices:
3024
4096
4608
6561
Answer: A
Question: According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 360 6 ounces servings of orange juice?
Choices:
a) 45
c) 50
d) 67
e) 100
Answer: A
Question: Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 7 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
Choices:
15/14
5/5
5/4
Cannot be determined
Answer: B
Question: If the sides of a square are multiplied by sqrt(5), the area of the original square is how many times as large as the area of the resultant square?
Choices:
20%
50%
100%
120%
Answer: A
Question: A sum of Rs. 12500 amounts to Rs. 16000 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
7%
6%
8%
14%
Answer: A
Question: A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?
Choices:
1600
2768
2686
1297
Answer: A
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
Choices:
3 : 2
3 : 4
4 : 3
1 : 2
Answer: B
Question: in a company the salary of 40 percentage of 400 employees is equal to 20 percentage of x employees, then what is x?
Choices:
350
700
800
1,400
Answer: C
Question: A basketball team comprising of 5 players decides to get ice cream from a diner. What is the probability that Alex a member of the team will stand next to only person in the queue to get his ice cream?
Choices:
22%
10%
20%
25%
Answer: B
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Choices:
30 centimeter sqaure
45 cm2
15 cm2
None of these.
Answer: A
Question: A bookstore has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. If the sum of the discount rates for the two types of books is 38 percent, what is the discount rate on mysteries?
Choices:
29.68%
19.68%
29%
68%
Answer: A
Question: In one hour, a boat goes 7 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
4 km/hr
5 km/hr
6 km/hr
8 km/hr
Answer: C
Question: Each of the following equations has at least one solution EXCEPT
Choices:
–2^n = (–2)^-n
2^n = (–2)^-n
(–2)^n = –2^n
(–2)^-n = –2^-n
Answer: A
Question: A colony of bacteria in a petri dish grew by 150% from t0 to t1. The number of bacteria grew by 400% from t0 to t2. What was the percentage growth in the number of bacteria from t1 to t2?
Choices:
167%
200%
250%
100%
Answer: D
Question: A train overtakes two person who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
Choices:
50 m
54 m
72 m
None of these
Answer: A
Question: A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 5 minutes.
In how much time will he be able to take all the five tablets?
Choices:
2 Hour.
30 min
20 min
Cannot be determined
Answer: C
Question: Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 35%. What fraction of the original paint was replaced?
Choices:
1/5
2/3
3/5
4/5
Answer: C
Question: Baker Donley is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
Choices:
300
252
225
210
Answer: D
Question: Rohit invests a sum of money at compound interest which doubles itself in 3 years, find in how many years will it amount to four times itself ?
Choices:
6
8
9
2
Answer: A
Question: If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
2:6
2:2
2:1
2:3
Answer: C
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 120 revolutions. How many revolutions does the second wheel make in covering d feet?
Choices:
120-y
120-x
120x/y
120x-y
Answer: C
Question: Jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?
Choices:
20
24
33.75
42
Answer: C
Question: A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 5t seconds, then what is the length of the platform?
Choices:
2L
3L
4L
5L
Answer: C
Question: If the average (arithmetic mean) of a and b is 210, and the average of b and c is 160, what is the value of a − c?
Choices:
−100
100
135
It cannot be determined from the information given
Answer: B
Question: In a division, divident is 725, divisior is 36 and quotient is 20. Find the remainder.
Choices:
B)3
C)2
D)5
E)6
Answer: C
Question: A sum fetched a total simple interest of 4020.75 at the rate of 9 %.p.a. in 5 years. What is the sum?
Choices:
8925
2345
6474
8935
Answer: D
Question: Find the value of log y(x4) if logx(y3) = 2
Choices:
4
6
8
9
Answer: B
Question: 4.2x4.2-1.9x1.9/2.3x6.1 is equal to:
Choices:
1
3
4
8
Answer: A
Question: In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
Choices:
8
7
5
2
Answer: A
Question: The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 20 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?
Choices:
230/(30+10A)
230/38A
220/(30+10A)
220/40A
Answer: A
Question: A certain sum amounts to Rs.1600 in 4 years and Rs.1900 in 7 years. Find the rate % per annum?
Choices:
7.33%
5.33%
8.33%
6.33%
Answer: C
Question: A bag contains 20 black balls and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
5/7
1/2
1/4
1/3
Answer: D
Question: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction Q of the area of triangle ABC is the area of triangle XYZ?
Choices:
1/9
1/6
1/5
1/3
Answer: A
Question: What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
Choices:
630
1260
2520
2860
Answer: A
Question: There are 600 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?
Choices:
276
375
387
390
Answer: B
Question: If b is greater than 1, which of the following must be negative?
Choices:
(b - 1)/3b
(1 - b)^2
(2 - b)/(1 - b)
(1 - b^2)/b
Answer: D
Question: For a,f,d are the positive integers, and d|a means that “a is divisible by d”, if d|af, which of the following must be true?
Choices:
d|f
d|2af
d|(a+f)
d|(a-f)
Answer: B
Question: Find the value of 72519 x 9999 = m?
Choices:
476686756
576763467
725117481
856443356
Answer: C
Question: Each of the 59 members in Mount school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for the writing club. If 6 students sign up for exactly two clubs, how many students sign up for all three clubs?
Choices:
5
6
8
9
Answer: B
Question: There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is :
Choices:
90
91
None of these
Cannot be determined
Answer: A
Question: Laura can paint 1/x of a certain room in 20 minutes. What fraction C of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?
Choices:
3x/(x-3)
(x – 3)/(3x)
x/(x-3)
(x-3)/x
Answer: B
Question: A bag contains 4red, 6blue and 3green balls. If 3 balls are picked at random, what is the probability that both are BLUE?
Choices:
12/455
10/143
11/125
14/368
Answer: B
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Choices:
20000
20029
29087
27028
Answer: A
Question: From the given equation find the value of x: x² − 3x + 2
Choices:
2
5
6
7
Answer: B
Question: It takes nine minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?
Choices:
13.87
14.24
14.59
14.85
Answer: C
Question: Four people are on an elevator that stops at exactly 4 floors. What is the probability that exactly one person will push the button for each floor?
Choices:
4!/4^4
4/4!
4/4^4
1/4^4
Answer: A
Question: A man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
Choices:
6 minutes
8 minutes
9 minutes
15/2 minutes
Answer: D
Question: The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 51st term in the sequence?
Choices:
8
7
6
4
Answer: D
Question: A boy has twelve trousers and 17 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
278
204
108
271
Answer: B
Question: A fort had provision of food for 150 men for 50 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Choices:
37	1/4
42
54
48
Answer: D
Question: A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?
Choices:
5
6
8
9
Answer: A
Question: There are n arithmetic means between 3 and 45 such that the sum of these arithmetic means is 552. find the value of n.
Choices:
15
17
21
23
Answer: D
Question: Find the simple interest on $6000 at 15% per annum for 9 months?
Choices:
$512
$675
$745
$1020
Answer: B
Question: If 2x + y = 7 and x + 2y = 5, then xy/3 =
Choices:
1
17/5
18/5
4
Answer: A
Question: The average (arithmetic mean) of four distinct positive integers is 10. If the average of the smaller two of these four integers is 12, which of the following represents the maximum possible value of the largest integer?
Choices:
16
12
8
1
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 and C be 22, the how old is B?
Choices:
9
8
11
10
Answer: B
Question: Village X has a population of 72000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
Choices:
15
11
18
13
Answer: A
Question: There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there
Choices:
30
40
50
60
Answer: B
Question: Express 50 mps in kmph?
Choices:
160
150
180
120
Answer: C
Question: (112 x 54) = ?
Choices:
70000
80000
88000
None
Answer: A
Question: If PENCIL is coded as 45 and TRASH is coded as 36, then MEMORY is coded as
Choices:
59
60
72
None
Answer: C
Question: 3889 + 14.952 - ? = 3854.002
Choices:
49.95
45.97
47.59
45.79
Answer: A
Question: In May, the grounds keeper at Spring Lake Golf Club built a circular green with an area of 36π square feet. In August, he doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
Choices:
144PI
70
80
90
Answer: A
Question: In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race ?
Choices:
15 min
10 min
5 min
None of these
Answer: B
Question: A man sells a horse for Rs.1000 and loses something, if he had sold it for Rs.1090, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
1040
1070
1030
1060
Answer: C
Question: If x=1/4, which expression has the greatest value?
Choices:
x^(1/2)
1/(2x)
x/.03
x^(-3)
Answer: D
Question: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
kmph
kmph
kmph
kmph
Answer: A
Question: In an election, candidate Smith won 52% of the total vote in Counties A and Q. He won 61% of the vote in County A. If the ratio of people who voted in County Q to County B is 3:1, what percent of the vote did candidate Smith win in County Q ?
Choices:
A.25%
C.34%
D.43%
E.49%
Answer: A
Question: Find the face value of 8 in 8213456
Choices:
80
8
800
80000
Answer: B
Question: If (a – b) is 13 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is:
Choices:
2
3
4
5
Answer: D
Question: The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 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:
B)19074
C)19008
D)19000
E)19002
Answer: C
Question: What is the remainder when the infinite sum (1!)² + (2!)² + (3!)² + ··· is divided by 1152?
Choices:
41
152
802
None
Answer: A
Question: A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 7% of bananas were rotten. Find the percentage of fruits in good condition?
Choices:
88.2%
85.2%
96.8%
78.9%
Answer: A
Question: If a class of 10 students has four men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
Choices:
5!5!
4!3!
10!
10!/5!
Answer: B
Question: A cask initially contains pure alcohol up to the brim. The cask can be emptied by removing exactly 5 liters at a time . Each time this is done, the cask must be filled back to the brim with water. The capacity of the cask is 15 liters. When the cask is completely emptied and filled back to the brim two times, what is the ratio of alcohol to water in the cask
Choices:
4/5
4/6
3/6
2/6
Answer: A
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Choices:
144
120
36
204
Answer: A
Question: Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
Choices:
15 : 8
17 : 8
13 : 8
12 : 8
Answer: A
Question: A man can swim in still water at 6 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.9
1.1
2
1.2
Answer: C
Question: Convert 300 miles into km?
Choices:
480km
510km
320km
500km
Answer: A
Question: What number continues the sequence?
25, 50, 27, 46, 31, 38, 39, ?
Choices:
22
23
24
25
Answer: A
Question: If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 3, and 4, what is the greatest number of four-digit extensions that the company can have?
Choices:
6
12
16
24
Answer: B
Question: A couple spent $198 in total while dining out and paid this amount using a credit card. The $198 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
Choices:
$140
$150
$160
$170
Answer: B
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
7 kmph
9 kmph
8 kmph
1 kmph
Answer: C
Question: T is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in T?
I. 9
II. 15
III. 27
Choices:
II only
I and II only
I and III only
I, II, and III
Answer: B
Question: Four different children have jelly beans: Aaron has 5, Bianca has 7, Callie has 8, and Dante has 19. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?
Choices:
3
4
5
7
Answer: D
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Choices:
15
17
18
21
Answer: C
Question: Four bells begin to toll together respectively at the intervals of 8, 10, 12 and 16 seconds. After how many seconds will they toll together again?
Choices:
242 seconds
240 seconds
243 seconds
253 seconds
Answer: B
Question: The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less than the longer side. Find the length of the hypotenuse.
Choices:
17
19
20
21
Answer: A
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.800 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
10000
2500
2772
2912
Answer: A
Question: A train 250 m long is running at a speed of 27 km/hr. In what time will it pass a bridge 200 m long?
Choices:
45
50
55
60
Answer: D
Question: A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
27
20
35
25
Answer: B
Question: How many hours are there in 1200 minutes?
Choices:
20
85
86
88
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20
99
77
18
Answer: A
Question: Of the 75 cars on a car lot, 45 have air-conditioning, 35 have power steering, and 12 have both air-conditioning and power steering. How many of the cars on the lot have neither air-conditioning nor power steering?
Choices:
7
10
15
18
Answer: A
Question: When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/3 of its capacity. In terms of n, what is the capacity of the tank, in liters?
Choices:
1/2 n
3/2 n
9/4 n
7/3n
Answer: A
Question: If r < y < -1, which of the following is true?
Choices:
y/r > r+y
y/r > ry
y/r < r+y
y/r > r/y
Answer: A
Question: Find the value of 72518 x 9999 = m?
Choices:
246465757
465767867
725107482
645354643
Answer: C
Question: If the sides of a triangle are 26 cm, 18 cm and 10 cm, what is its area?
Choices:
90
130
140
150
Answer: A
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
6 kmph
5 kmph
8 kmph
2 kmph
Answer: C
Question: Ramesh can finish a piece of work in 16 days. Rohan is twice as efficient as Ramesh.If they work together how many days will they need to finish the same amount of work?
Choices:
9/3 days
16/3 days
11/3 days
7/3 days
Answer: B
Question: A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
8
6
4
2
Answer: B
Question: a,b and c are positive integers less than or equal to 9 and multiple of 3. If a,b and c are assembled into the three-digit number abcabc, which of the following must be a factor of abcabc?
Choices:
6
7
5
9
Answer: A
Question: y =x^2 + bx + 128 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?
Choices:
-129
32
64
128
Answer: A
Question: Last year a certain bond yielded 12 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?
Choices:
$6,750
$7,425
$2,500
$9,375
Answer: C
Question: A bakery currently has 5 pies and 6 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
Choices:
25/77
5/11
7/11
50/77
Answer: A
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 second
77 sec
55 sec
17 sec
Answer: A
Question: You enter a weight loss challenge game and manage to lose 14% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
Choices:
9.22%
9%
14%
12.28%
Answer: D
Question: Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255
Choices:
7
27
127
255
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
77
72
88
21
Answer: B
Question: 300 gm of sugar solution has 40% sugar. How much sugar should be added to make it 50% in the solution?
Choices:
20 gm
60 gm
67 gm
63 gm
Answer: B
Question: If taxi fares were $1.00 for the first 1/5 mile and $0.40 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
Choices:
$2.40
$3.80
$4.20
$6.60
Answer: D
Question: Set R consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set R, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?
Choices:
-1
0
1
2
Answer: B
Question: A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %?
Choices:
40%
50%
56%
78%
Answer: B
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choices:
620
576
740
720
Answer: B
Question: Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after?
Choices:
9
11
13
15
Answer: A
Question: The lengths of the legs of a right triangle are x and y, while the length of the hypotenuse is
x + y- 4. What is the maximum radius of a circle inscribed in this triangle?
Choices:
2
4
22
cannot be determined from the information given
Answer: A
Question: The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age of 5:9, then what is the school age of Shaan?
Choices:
27
16
15
17
Answer: C
Question: In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and six different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color
Choices:
719/720
2/233
3/543
1/720
Answer: A
Question: The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
Choices:
5/1
5/9.
5/2
5/8
Answer: B
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choices:
9261
686
1268
2612
Answer: A
Question: 1+2=10
2+3=26
3+4=50 then
4+5=?
Choices:
81
82
83
84
Answer: B
Question: Six computers, each working at the same constant rate, together can process a certain amount of data in 9 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 6 days?
Choices:
3
6
9
12
Answer: A
Question: A cube is divided into 125 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?
Choices:
42
48
54
60
Answer: C
Question: If x/4 – (x – 3)/5 = 1, then find the value of x.
Choices:
9
6
8
5
Answer: A
Question: You walk one mile to school every day. You leave home at the same time each
day, walk at a steady speed of 3 miles per hour, and arrive just as school begins. Today you
were distracted by the pleasant weather and walked the rst half mile at a speed of only 2
miles per hour. At how many miles per hour must you run the last half mile in order to arrive
just as school begins today?
Choices:
6 miles per hour
8 miles per hour
10 miles per hour
12miles per hour
Answer: A
Question: A train 560 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
56
41
42
34
Answer: A
Question: If {b} denote the remainder when 3b is divided by 2 then which of the following is equal to 1 for all positive integers b?
I. {2b+1}
II. {2b}+1
III. 2{b+1}
Choices:
II only
I and II
III only
II and III
Answer: B
Question: Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
Choices:
60
88
66
12
Answer: A
Question: A 5-digit code consists of one number digit chosen from 1, 2, 3 and four letters chosen from A, B, C, D, E. If the first and last digit must be a letter digit and each digit can appear more than once in a code, how many different codes are possible?
Choices:
625
1,875
3,750
5,625
Answer: D
Question: A cyclist covers a distance of 750 meter in 2 minutes 50 seconds. What is the speed in km/hr of cyclist
Choices:
17 km/hr
15.84 km/hr
19 km/hr
20 km/hr
Answer: B
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
277
274
270
281
Answer: C
Question: A man purchased 1 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
277
278
450
650
Answer: D
Question: A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Choices:
2ft. 7 inches
1ft. 7 inches
3ft. 7 inches
None of them
Answer: A
Question: Renu can do a piece of work in 6 days, but with the help of her friend Suma , she can do it in 5 days. In what time Suma can do it alone?
Choices:
12
14
15
30
Answer: D
Question: Roycee's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees.
Choices:
7
8
10
12
Answer: C
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
15%
10%
35%
Answer: A
Question: Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at four Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?
Choices:
1 hr 45 min
1 hr
2 hr 20 min
3 hr
Answer: B
Question: A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.110/- extra, then how much amount he took?
Choices:
s.5500/-
s.4000/-
s.7000/-
s.8000/-
Answer: A
Question: The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 700 square meters, what is the depth of the channel (in meters)?
Choices:
60
70
80
90
Answer: B
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
12000
12002
12022
12023
Answer: A
Question: Find the surface area of a cuboid 12 m long, 14 m broad and 7 m high
Choices:
600 sq.cm
700 sq.cm
900 sq.cm
None of these
Answer: B
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4%
6%
3%
5%
Answer: A
Question: The least number which should be added to 2497, so that the sum is exactly divisible by 5, 6, 4 and 3, is
Choices:
13
23
33
43
Answer: B
Question: After MM students took a test, there was a total of 64% of correct answers. If the test contains 50 questions, what is the least number of questions that the next student have to get right to bring the total of correct answers to 70% ?
Choices:
+ 35
+ 15
+ 20
+ 45
Answer: A
Question: A and B together invested Rs. 20,000 in a business. At the end of the year, out of total profit is Rs. 5,000 B's share was Rs. 2000. A's investment was
Choices:
s. 8,250
s. 10,500
s. 11,250
s. 12,000
Answer: D
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17 m
18 m
14 m
12 m
Answer: A
Question: Nine highschool teachers gather at allocacting the subject, Three subject of 3 people each will be created. How many ways are there to create these 3 teams?
Choices:
45
90
175
280
Answer: A
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
Choices:
17
12
18
15
Answer: B
Question: A company has 60 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Nine employees have done just two courses and only one made ​​the three courses. How many employees have no training?
Choices:
B)9
C)10
D)20
E)26
Answer: C
Question: The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
Choices:
400
268
191
123
Answer: A
Question: If a, b, and c are consecutive positive integers and a > b > c, which of the following must be true?
I. c - a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an integer.
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: C
Question: The units digit of (35)^(87) + (93)^(47) is:
Choices:
2
6
8
0
Answer: A
Question: Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647
Choices:
?= 17
13
10
20
Answer: A
Question: How many words can be formed from the letters of the word ‘DIRECTOR’
So that the vowels are always together?
Choices:
60
36
2160
2010
Answer: C
Question: Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for t dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
Choices:
xt – (xd – sd)
xd – st
(x – s)d – xt
(s – t)d – xt
Answer: C
Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 1 order of $300 ?
Choices:
$2
$3
$4
$5
Answer: C
Question: Which is the middle even number between 9 and 23?
Choices:
16
18
20
22
Answer: A
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
69
40
72
21
Answer: B
Question: Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Choices:
11
77
88
12
Answer: C
Question: If 32455 × 3145208 × K^3 is divisible by 3, which of the following could be the value of K?
Choices:
27
34
11
9
Answer: A
Question: A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per liter of petrol if he spends Rs. 4000 each year?
Choices:
Rs. 7.98
Rs. 10
Rs. 11
Rs. 12
Answer: A
Question: The events A and B are independent. The probability that event A occurs is p and the probability that event B occurs is q. Which of the following is equal to the probability that exactly one of the events A and B occurs?
Choices:
q − pq
p + q − 2pq
p + q − pq
p + q
Answer: C
Question: Find the ones digit of 73^353
Choices:
3
6
7
9
Answer: A
Question: The markup on a box of apples is 10 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost)
Choices:
9.09 %
12 1/2%
15%
16 2/3%
Answer: A
Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
75
44
28
12
Answer: A
Question: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings?
Choices:
29
30
37
12
Answer: C
Question: The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:
Choices:
91
1001
1911
None of these
Answer: A
Question: N, a set of natural numbers is partitioned into subsets S1 = {1}, S2 = {2,3}, S3 = {4,5,6}, S4 = {7,8,9,10} and so on. The sum of the elements of the subset S50 is
Choices:
(b) 65525
(c) 42455
(d) 62525
(e) 55425
Answer: C
Question: A boy was asked to find 7/9 of a y. But he divided the y by 7/9, Thus he got 32 morethan theanswer. Find the y.
Choices:
56
48
63
65
Answer: C
Question: X, Y, and Z are consecutive numbers and X > Y > Z. Also, X + 3Y + 3Z = 5Y + 8. What is the value of Z?
Choices:
3
4
5
6
Answer: B
Question: 8, 24, 12, 36, 18, 54, (....)
Choices:
68
108
27
86
Answer: C
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 9 and 10. The larger of the two numbers is:
Choices:
299
230
345
395
Answer: B
Question: What is the area of a square field whose diagonal of length 20 m?
Choices:
271
200
277
181
Answer: B
Question: In how many ways can the letters {U, R, U, R, R} be arranged?
Choices:
10
120
720
840
Answer: A
Question: The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
Choices:
25
23
29
28
Answer: A
Question: If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 27, what is the value of r-p?
Choices:
10
34
40
5
Answer: B
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Choices:
8925
8529
8952
None
Answer: A
Question: On the coordinate plane , points P and T are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?
Choices:
(2,-5)
(0,0)
(1,1.5)
(2,2)
Answer: C
Question: A and B start walking towards each other at 4pm at speed of 2kmph and 3kmph. They were initially 15km apart. At what time do they meet?
Choices:
6pm
7pm
10pm
5pm
Answer: B
Question: How many seconds will a 450 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
27 sec
86 sec
16 sec
18 sec
Answer: A
Question: If a man travels f miles an hour for m hours and r miles an hour for s hours, what is his average rate in miles per hour for the entire distance traveled?
Choices:
(fm + rs)/2
m/f + s/r
(fm + rs)/(m + s)
(fm + rs)/(t - s)
Answer: C
Question: The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $20,000 each. What is the average salary of the remaining employees?
Choices:
$15,800
$18,000
$15,850
$12,300
Answer: A
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. 110 players took part in that tournament.
How many matches were played?
Choices:
88 matches.
77 matches.
109 matches.
55 matches.
Answer: C
Question: Rani is two years older than Banu who is twice as old as Chitra. If the total of the age of Rani, Banu and Chitra be 32 years, then how old is Banu ?
Choices:
10 years
12 years
13 years
14 years
Answer: B
Question: The area of a parallelogram is 72sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
6
7
62
2
Answer: A
Question: The unit digit in the product (891 * 781 * 912 * 463) is:
Choices:
5
6
8
10
Answer: B
Question: If x is 20 percent greater than 12, then x =
Choices:
12.1
8.1
15.6
14.4
Answer: D
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
28
26
29
Answer: A
Question: There are some people in party, 1/3rd left the party . Then 2/5th of the remaining left the party , then 2/3rd of the remaining left the party . At last 6 were remaining . How many people were in total ?
Choices:
45
28
26
91
Answer: A
Question: What is the are of an equilateral triangle of side 14 cm?
Choices:
74âˆš3 cm2
64âˆš3 cm2
49âˆš3 cm2
14âˆš3 cm2
Answer: C
Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is?
Choices:
20
40
43
45
Answer: A
Question: Ravi and sunil are partners in a business. Ravi invests Rs.10,000 for 8 months and Sunil invested Rs.12000 for 10 months then after one year ratio of their profits will be
Choices:
2:3
3:2
3:1
3:4
Answer: A
Question: Excluding stoppages, the speed of a bus is 70 km/hr and including stoppages, it is 40 km/hr. For how many minutes does the bus stop per hour?
Choices:
10 min
18 min
16 min
25 min
Answer: D
Question: The speed of a train is 120 kmph. What is the distance covered by it in 10 minutes?
Choices:
20 kmph
28 kmph
30 kmph
40 kmph
Answer: A
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
Choices:
2201
2200
2287
2221
Answer: B
Question: After allowing a discount of 15% on the marked price, the selling price is $6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
Choices:
$5750
$5000
$7000
$2000
Answer: B
Question: If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?
Choices:
25% profit
20% loss
20% profit
5% profit
Answer: B
Question: I. x2 + 9x + 20 = 0,
II. y2 + 5y + 6 = 0 to solve both the equations to find the values of x and y?
Choices:
If x < y
If x ≤ y
If x ≥ y
If x = y or the relationship between x and y cannot be established.
Answer: A
Question: At a certain conference, 72% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks in
advance?
Choices:
62.0%
79.2%
80.0%
82.0%
Answer: C
Question: The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
Choices:
6.07%
6.08%
6.09%
6.19%
Answer: C
Question: The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 44 kg more than the weight of the third boy, what is the weight of the lightest boy?
Choices:
35.2 kg
98.2 kg
65.2 kg
87.3 kg
Answer: A
Question: Find the odd man out
4, 8, 12, 16, 20, 24, 27, 32
Choices:
27
24
32
36
Answer: A
Question: You have three pills with you which you are required to take one after every thirty minutes.
How long can the pills run for you?
Choices:
55 Min
50 Min
70 Min
60 Min
Answer: D
Question: How many 4-digit positive integers are multiple of each integer from 1 to 10
Choices:
2520
3520
5140
7660
Answer: A
Question: John bought 2 shares and sold them for $84 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Choices:
a profit of $7
a loss of $7
a loss of $10
neither a profit nor a loss
Answer: B
Question: A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is:
Choices:
45:56
47:56
47:51
None
Answer: A
Question: A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If b and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of b and n?
Choices:
-130
-104
51
305
Answer: C
Question: The batting average for 40 innings of a cricket palyer is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is
Choices:
170 runs
172 runs
174 runs
176 runs
Answer: C
Question: If the cost price is 40% of selling price. Then what is the profit percent.
Choices:
150%
130%
200%
None of these
Answer: A