antoine-444/aqua_rat_dataset huggingface dataset:
Question: A man purchases the milk at Rs. x per liter and sells it at Rs. 2x/liter stillhe mixes 2liters water with every 6liters of pure milk. Whatis the profit %?
Choices:
150%
155.7%
166.6%
176.5%
Answer: C
Question: In how many different number of ways 7 men and 3 women can sit on a shopa which can accommodate persons?
Choices:
230
240
250
5040
Answer: D
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
80%
30%
24%
Answer: A
Question: Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 24 more photos than Claire. How many photos has Claire taken?
Choices:
8
10
12
14
Answer: C
Question: If r = 2^4 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s?
Choices:
2^2 * 5
2^3 * 5^2
2*3*5*7
2^3 * 3^2 * 5^2 * 7
Answer: A
Question: Find the total number of four digit numbers that can be formed using the digits 1,2,5,6.
Choices:
256
258
260
265
Answer: A
Question: How many different ways can you select a pilot and a co pilot if you have 75 people to choose from?
Choices:
200
398
4950
5550
Answer: D
Question: A train speeds past a pole in 25 seconds and a platform 200 m long in 30 seconds. Its length is:
Choices:
2000 m
1500 m
1000 m
4000 m
Answer: C
Question: Eight cubes, each with a volume of 512 cm^3, are joined to form one large cube. What is the surface area of the large cube?
Choices:
1536 sq cm
1024 sq cm
2048 sq cm
512 sq cm
Answer: A
Question: What amount does Kiran get if he invests Rs.9800 at 12% p.a. compound interest for three years, compounding done annually?
Choices:
13487
18978
13456
12308
Answer: A
Question: Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.20 at the candy store. What is this student’s weekly allowance?
Choices:
$4.00
$4.25
$4.50
$5.00
Answer: C
Question: Of the 30 employees of a certain company, 10 are accountants. 2 employees of the company will be selected at random. Which of the following is closest to the probability that neither of the employees selected will be an accountant?
Choices:
P(E)=0.43
0.31
0.52
0.63
Answer: A
Question: One night 17 percent of the female officers on a police force were on duty. If 170 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices:
420
450
480
500
Answer: D
Question: A and B together can do a work in 3 days. If A alone can do it in 6 days. In how many days can B alone do it?
Choices:
99
77
55
6
Answer: D
Question: w, q, and r are positive integers. If w, q, and r are assembled into the six-digit number wqrwqr, which one of the following must be a factor of wqrwqr?
Choices:
19
17
7
none of the above
Answer: C
Question: Express a speed of 84 kmph in meters per second?
Choices:
23.33 mps
33.33 mps
25.33 mps
43.33 mps
Answer: A
Question: Calculate the fourth proportional to 1.8, 2.9 and 5.2?
Choices:
8.38
8.19
20.38
12.38
Answer: A
Question: A car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for each additional hour of travel time. If the average speed for the entire trip is 38 miles per hour, how many hours long is the trip?
Choices:
14
15
16
17
Answer: B
Question: In how many different ways could couples be picked from 8 men and 5 women?
Choices:
5
13
40
20
Answer: C
Question: There are 10 copies each of 4 different books. In how many ways can they be arranged on a shelf?
Choices:
40!/10!
40!/4!
40!/10
40!/{10!^4}
Answer: D
Question: What approximate value should come in place of question mark (?) in the following equation?
33 1⁄3% of 768.9 + 25% of 161.2 – 65.12 = ?
Choices:
225
235
233
240
Answer: C
Question: A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 63 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?
Choices:
45
54
65
81
Answer: D
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
Choices:
587 × 10^10 miles
587 × 10^-10 miles
587× 10^12 ml
587 × 10^-12 miles
Answer: C
Question: 16 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
Choices:
6
4
7
5
Answer: B
Question: Rs.385 were divided among X,Y,Z in such a way that X had Rs.20 more than Y and Z had Rs 15 more than X . How much was Y’s share?
Choices:
Rs.145
Rs.150
Rs.176
Rs.181
Answer: A
Question: John must arrange 3 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
Choices:
9
36
120
720
Answer: B
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 W of the area of triangle ABC is the area of triangle XYZ?
Choices:
1/9
1/6
1/5
1/3
Answer: A
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price E per glass on the second day?
Choices:
$0.20
$0.30
$0.40
$0.45
Answer: C
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Choices:
19
17
80
14
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face?
Choices:
2/213
1/216
2/113
2/115
Answer: B
Question: Which of the following values of A satisfies the inequality?
A(A – 2) = 5A – 10
Choices:
2 < A = 5
2 < A = 6
2 < A = 1
2 < A = 2
Answer: A
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.60 at the candy store. What is John’s weekly allowance?
Choices:
$2.25
$3.25
$3.65
$4.80
Answer: A
Question: Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?
Choices:
58
63
75
76
Answer: C
Question: The altitude of an equilateral triangle of side 2âˆš3 cm is?
Choices:
1/2 cm
3/4 cm
3 cm
5 cm
Answer: C
Question: If (x-15)(x-3) < 0, which of the following must be true?
Choices:
x^2 + 5x + 6 > 0
15 - x >0
x - 5 < 0
11 - x > 0
Answer: B
Question: The ratio of number of boys and girls in a school is 2:5. If there are 350 students in the school, find the number of girls in the school?
Choices:
250
300
370
280
Answer: A
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
Choices:
36
89
16
22
Answer: A
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12
111.11
111.98
111.15
Answer: A
Question: The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
Choices:
76
21
26
39
Answer: D
Question: A person's salary is getting reduced by 20%. What percentage should be added to get back his
original salary?
Choices:
25%
75%
85%
95%
Answer: A
Question: Calculate the circumference of a circular field whose radius is 10 centimeters.
Choices:
4
6
8
20
Answer: D
Question: If 10 men do a work in 80 days, in how many days will 20 men do it?
Choices:
38 days
40 days
48 days
50 days
Answer: B
Question: The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Choices:
94
184
364
375
Answer: C
Question: The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. How much does the clock gain or lose in 12 hours?
Choices:
27.273 seconds
37.273 seconds
47.273 seconds
17.273 seconds
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:
86 seconds
40 seconds
43 seconds
15 seconds
Answer: B
Question: Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to complete the job. Find the time in which they can finish the job together.
Choices:
45 days
60 days
90 days
None of these
Answer: B
Question: Haris can wash all the windows of his house in 10 hours. His wife Maggie can wash all the windows in 5 hours. How many hours will it take for both of them working together to wash all the windows?
Choices:
3 1/3
4 1/4
5
6
Answer: A
Question: What is the smallest positive integer x, such that √392x is an integer?
Choices:
2
7
8
14
Answer: A
Question: If the cost price of 110 chairs is equal to the selling price of 88 chairs, the gain percent is
Choices:
25
35
40
45
Answer: A
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Choices:
1/2
1/9
1/1
1/3
Answer: A
Question: 75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 24% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
Choices:
40%
50%
55%
75%
Answer: A
Question: Sum of the squares of three numbers is 225 and the sum of their products taken two at a time is 200. Find the sum?
Choices:
22
25
26
29
Answer: B
Question: If 2/z = 2/(z + 1) + 2/(z + 16) which of these integers could be the value of z?
Choices:
1
2
3
4
Answer: D
Question: What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
Choices:
2506
2589
2530
2599
Answer: A
Question: If Ram and Gohul can do a job in 10 days and 15 days independently. How many days would they take to complete the same job working simultaneously?
Choices:
8
4
7
6
Answer: D
Question: The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Choices:
64
38
37
29
Answer: A
Question: Find the odd man out. 241, 263, 248, 271, 255, 277, 262
Choices:
271
263
241
None of these
Answer: A
Question: A rectangular grassy plot 100 m. by 70 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 90 paise per sq. metre.
Choices:
Rs.708.50
Rs.732.50
Rs.742.50
None of these
Answer: C
Question: A man buys an article for 13% less than its value and sells it for 13% more than its value. His gain or loss percent is:
Choices:
20% profit
less than 25% profit
more than 25% profit
None
Answer: C
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
25/3
25/2
25/1
25/9
Answer: B
Question: From a group of 21 astronauts that includes 12 people with previous experience in space flight, a 3-person crew is to be selected so that exactly one person in the crew has previous experience in space flight. How many different crews of this type are possible?
Choices:
432
864
1330
7980
Answer: A
Question: A coin is tossed two times. What is the probability that there is at the least one tail?
Choices:
3/4
31/18
31/10
31/19
Answer: A
Question: Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If Q is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
Choices:
4<y<10
10<y<20
20<y<30
y>30
Answer: D
Question: P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?
Choices:
10
12
15
17
Answer: A
Question: [(9/2 ÷ 1/2 × 9/2)]/[(9/2 × 1/2 ÷ 9/2)] = ?
Choices:
61
51
81
41
Answer: C
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2, respectively, by weight. If 78 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Choices:
24
9
6
4
Answer: A
Question: An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is 1/4 empty again, it is filled with brand Y gasoline. At this time, what percent of the gasoline in the tank is brand Z?
Choices:
24%
22%
20%
18.75%
Answer: D
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
37
41
43
44
Answer: A
Question: In three years, Janice will be three times as old as her daughter. Six years ago, her age was her daughter’s age squared. How old is Janice's Daughter?
Choices:
12
40
42
45
Answer: A
Question: The cost of 3 kg of sugar is $12. What will the cost of 8 kg of sugar be?
Choices:
32
64
120
180
Answer: A
Question: A boat goes 8 km upstream in 24 minutes. The speed of stream is 4 km/hr. The speed of boat in still water is:
Choices:
26 km/hr
22 km/hr
24 km/hr
28 km/hr
Answer: C
Question: A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 5% p.a for 2 years. Find his gain in the transaction per year.
Choices:
50
225
112.5
212.5
Answer: A
Question: If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of even integers from 30 to 50, inclusive, what is the value of x + y ?
Choices:
811
830
850
x + y=851
Answer: D
Question: A chair is bought for Rs.500/- and sold at a loss of 20% find its selling price
Choices:
Rs.600/-
Rs.400/-
Rs.700/-
Rs.800/-
Answer: B
Question: In a group of 400 players some are outdoor players, some are indoor players and some plays both. 350 plays outdoors and 110 plays indoor. How many plays indoor as well as outdoor games.
Choices:
60
90
100
110
Answer: A
Question: A man can row a boat at 26 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
80/13 hours
15/13 hours
16/19 hours
15/8 hours
Answer: D
Question: Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 30~ ?
Choices:
0
2
8
31
Answer: A
Question: If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of (r − s)^2?
Choices:
2
64
− 3
− 5
Answer: B
Question: in base 7, a number is written only using digits 0,1,2,3,4,5,6. the number 135 in base 7 is 1*72+3*7+5=75 in base 10. what is the sum of the base 7 numbers 1234 & 6543 in base 7?
Choices:
11110
10111
11011
11010
Answer: A
Question: Notebooks are sold in packages of four or seven only. If Wilson bought 69 notebooks exactly, what could be the number of large packs Wilson bought?
Choices:
4
7
8
9
Answer: B
Question: A and B start walking towards each other at 6pm at speed of 4kmph and 6kmph. They were initially 18km apart. At what time do they meet?
Choices:
8pm
7pm
10pm
5pm
Answer: A
Question: Which of the following number is divisible by 4 and 9?
Choices:
2736
2876
1988
1192
Answer: A
Question: Find the perimeter and area of a square of side 13 cm.
Choices:
144
169
196
225
Answer: B
Question: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 7 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Choices:
56%
100%
120%
125%
Answer: A
Question: The sum of first nine prime numbers is?
Choices:
100
24
28
30
Answer: A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70%
100%
250%
150%
Answer: A
Question: If 15 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?
Choices:
90
85
80
60
Answer: D
Question: How many words can be formed by using all letters of the word â€œBIHARâ€
Choices:
200
420
120
300
Answer: C
Question: The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
Choices:
2
3
4
5
Answer: A
Question: K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ?
Choices:
12 pm
72 pm
92 pm
23 pm
Answer: A
Question: A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?
Choices:
104
108
106
None of these
Answer: A
Question: The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
Choices:
3 by 2
3/5
9/4
3/1
Answer: A
Question: A man decided to cover a distance of 80km in 8 hrs. He can walk at a speed of 6 km/hr and cycle at 8 km/hr successively. How long will he walk and how long will he cycle ?
Choices:
26.6km,53.3km
26.6km,54.3km
26.6km,55.3km
28.6km,53.3km
Answer: A
Question: A corporation that had $115.19 billion in profits for the year paid out $230.10 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9)
Choices:
20%
5%
2%
0.2%
Answer: D
Question: By selling 20 pens for a rupee a man loses 30%. How many for a rupee should he sell in order to gain 30%?
Choices:
10.76
8.76
9.76
5.76
Answer: A
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Choices:
10 litres
30 litres
22 litres
8 litres
Answer: A
Question: 3,6,9,12,15....
Choices:
60
18
62
63
Answer: B
Question: A man spend 1/5 of his salary on food , 1/10 of his salary on house rent and 3/5 salary on clothes. he still has $18000 left with him. find salary..
Choices:
$18000
$180000
$1800
None
Answer: B
Question: For an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. If exactly 25 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
Choices:
26%
29%
30%
60%
Answer: B
Question: The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C = 100,000p/(100 - p). According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 50 percent of the pollutant?
Choices:
$400,000
$50,000
$10,000
$5,000
Answer: A
Question: Which of the following is not a leap year?
Choices:
700
1000
1100
1200
Answer: A
Question: The average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is
Choices:
30
39
12
11
Answer: A
Question: Working, independently X takes 10 hours to finish a certain work. He works for 9 hours. The rest of the work is finished by Y whose rate is 1/10 th of X. In how much time does Y finish his work?
Choices:
4hrs
6hrs
8hrs
10hrs
Answer: D
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
18/35
18/29
18/12
18/33
Answer: A
Question: The sum of two numbers is 20 and their product is 375. What will be the sum of their reciprocals?
Choices:
4/75
75/4
75/8
75/6
Answer: A
Question: 31, 29, 24, 22, 17, ?
Choices:
14
15
17
20
Answer: B
Question: A straight fence is to be constructed from posts 5 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following couldnotbe the length of the fence in feet? (12 inches = 1 foot)
Choices:
28
34
39
50
Answer: B
Question: How many arrangements of the letters of the word DEFEATED are there in which the three E are separated?
Choices:
840
770
760
820
Answer: A
Question: In the coordinate plane, points (x, 1) and (18, y) are on line k. If line k passes through the origin and has slope 1/2, then x + y =
Choices:
7
8
11
12
Answer: C
Question: David obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Physics, Chemistry and Biology.What are his average marks?
Choices:
69
72
75
79
Answer: C
Question: In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
Choices:
3!*3!
4!/2!
4! *3!/2!
3!*3!/2
Answer: C
Question: The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 50% more than the price of the other, what is the price of each of these two oranges?
Choices:
Rs 10.4, Rs 15.6
Rs 10, Rs 16
Rs 12, Rs 14
None of these
Answer: A
Question: 4!/(4-3)!=?
Choices:
24
35
36
39
Answer: A
Question: A chain smoker had spent all the money he had. He had no money to buy his cigarettes. Hence, he resorted to join the stubs and to smoke them. He needed 4 stubs to make a single cigarette. If he got a pack of 10 cigarettes as a gift, then how many cigarettes could he smoke in all?
Choices:
11
12
13
14
Answer: C
Question: Score Interval Number of Scores
50-59 2
60-69 10
70-79 14
80-89 27
90-99 18
The table shows a distribution of test scores. Which score interval contains the median of the 71 scores?
Choices:
b) 70-79
c) 80-89
d) 90-99
e) Cannot determine.
Answer: B
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
91.5
93
94
95
Answer: A
Question: If a truck is traveling at a constant rate of 36 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
Choices:
24
60
36
48
Answer: B
Question: A fast food company plans to build 4 new restaurants. If there are 14 sites that satisfy the company's criteria for location of new restaurant, in how many different ways can company select the 4 sites needed for the new restaurant if the order of selection doesn't matter.
Choices:
1001
364
2002
756
Answer: A
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
277
202
540
223
Answer: C
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
2677
288
285
261
Answer: C
Question: A man purchases 2 watches for $ 900. He sells one at 10% loss and the other at a profit of 20%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Choices:
$600 and $ 900
$900 and $450
$600 and $300
$550 and $ 350
Answer: C
Question: If a man reduces the selling price of a fan from 400 to 380 his loss increases by 20% .What is the cost price of fan
Choices:
400
500
600
700
Answer: B
Question: John and Steve are speed walkers in a race. John is 10 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
Choices:
17 seconds
24 seconds
34 seconds
51 seconds
Answer: B
Question: The length of rectangle is thrice its breadth and its perimeter is 56 m, find the area of the rectangle?
Choices:
252
299
276
111
Answer: A
Question: There are different 5 circles. What is the number of the greatest possible points with which the circles intersect?
Choices:
20
15
22
21
Answer: A
Question: The speed of a boat in still water is 10 km/hr. If it can travel 78 km downstream and 42 km upstream in the same time, the speed of the stream is
Choices:
3 km/hr
1.5 km/hr
4.4 km/hr
None of these
Answer: A
Question: Two cylindrical candles of the same height but different diameters are lit at the same time. The
first is consumed in 4 hours and the second in 3 hours. Assuming that they burn at a constant
rate, how long after being lit was the first candle twice the height of the second candle?
Choices:
1 hr 12 min
2 hr
2 hr 12 min
2 hr 24 min
Answer: D
Question: If m and n are positive integers and m^2 + n^2 = 20, what is the value of m^3 + n^3?
Choices:
72
320
512
1,600
Answer: A
Question: If 144/x is an integer and 72/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
Choices:
I and II only
III only
II and III only
I only
Answer: B
Question: There are 5 people and 5 chairs. In how many different ways people can occupy the chairs?
Choices:
15
24
36
120
Answer: D
Question: Q. How many 4-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3?
Choices:
240
210
270
300
Answer: D
Question: There are 16 cans in the refrigerator. 9 of them are red and 7 of them are blue. In how many ways we can remove 10 cans so that at least one red and at least one blue cans to remain the refrigerator.
Choices:
490
833
455
445
Answer: B
Question: This is a famous probability puzzle in which you have to choose the correct answer at random from the four options below.
Can you tell us whats the probability of choosing correct answer in this random manner.
Choices:
0%
3%
6%
1%
Answer: A
Question: If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a club or a red jack?
Choices:
4/7
15/52
9/13
19/26
Answer: B
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
Rs.480
Rs.429
Rs.128
Rs.419
Answer: A
Question: The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?
Choices:
$15,594
$14,786
$14,543
$12,988
Answer: A
Question: If a dealer wants to earn 20% profit on an article after offering 30% discount to the customer, by what percentage should he increase his marked price to arrive at the label price?
Choices:
71 3/7%
75%
60 2/3%
90%
Answer: A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 36 cm * 20 cm. What is the perimeter of the square?
Choices:
800 cm
829 cm
240 cm
289 cm
Answer: C
Question: Three dwarves and three elves sit down in in the row of six chairs. If no dwarf will sit next to another dwarf and no elf will sit next to another elf, in how many different ways can the elves and dwarves sit.
Choices:
72
76
78
80
Answer: A
Question: Find the value of x from the below equation? : 3x^2+6x+3 = 0
Choices:
-5/6
5
6
25
Answer: A
Question: You collect coins. Suppose you start out with 11. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 4 coins. How many coins do you have at the end?
Choices:
3
4
5
6
Answer: B
Question: At night a man who is 6 feet tall stands 5 feet away from a lamppost. The lamppost’s lightbulb
is 16 feet above the ground. How long is the man’s shadow?
Choices:
3 feet
10/3 feet
4 feet
5 feet
Answer: B
Question: At what price must an Book costing $47.50 be marked in order that after deducting 8% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
64.5
62.5
82.5
60.5
Answer: A
Question: In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.9 sec
1.3 sec
3.75 sec
1.8 sec
Answer: C
Question: A sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 90 extra yellow balls and making ratio of white balls to yellow balls 8/13. How many tennis balls did the retailer order originally.
Choices:
130
140
160
288
Answer: D
Question: Find the value of sin 75° + sin 15° = ?
Choices:
1/2
1
3/2
2
Answer: B
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. What is the market value of each share?
Choices:
15
12
17
20
Answer: A
Question: Which of the following cannot be the sum of 4 different prime numbers?
Choices:
17
29
32
30
Answer: D
Question: What is the distance from (–7, 2) to (5, –3)?
Choices:
11
12
13
14
Answer: C
Question: A large box contains 20 small boxes and each small box contains 32 chocolate bars. How many chocolate bars are in the large box?
Choices:
B)490
C)380
D)450
E)640
Answer: D
Question: In an athletic event with N participants, if 1/5 could not complete 100 meter race within cut off time of 10 seconds. And of those who didnt clear 100 meter race within cut off time, 1/3 also did not qualify in long jump. How many athletes cleared both events ?
Choices:
4N/15
14N/15
N/5
4N/5
Answer: B
Question: Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b &c then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?
Choices:
92
94
95
100
Answer: C
Question: How many prime numbers n exist such that 90 < n < 106 and n is a factor of 99999919?
Choices:
One
Two
Three
More than three
Answer: B
Question: In an election between the two candidates ,The candidates who gets 60% of votes polled is winned by 280 votes majority. What is the total number of votes polled?
Choices:
1400
1800
2000
2100
Answer: A
Question: A can complete a work in 15days and B can do the same work in 7days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?
Choices:
5 1/2 days
6 1/2 days
7 1/2days
10days
Answer: A
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is
Choices:
9
13
15
17
Answer: C
Question: A customer went to a shop and paid a total of $40, out of which $1.28 was for sales tax on taxable purchases. If the tax rate was 8%, then what was the cost of the tax free items?
Choices:
$2076
$21.36
$22.72
$23.58
Answer: C
Question: If |x^2 − 6| = x, which of the following could be the value of x?
Choices:
–2
0
1
2
Answer: D
Question: The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (g) around the mirror, which of the following could be the value, in inches, of g ?
I. 2
II. 3 1/2
III. 5
Choices:
III only
I and II only
I and III only
I, II, and III
Answer: D
Question: A reduction of 46% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Choices:
8.45
7.45
3.45
1.45
Answer: C
Question: If the cost price of 58 articles is equal to the selling price of 50 articles, then what is the percent profit?
Choices:
16%
20%
24%
28%
Answer: A
Question: When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 727 more than 4times the middle integer. Find the numbers?
Choices:
678
727
710
729
Answer: B
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
Choices:
90 sec
10 sec
70 sec
30 sec
Answer: A
Question: For a certain article, if discount is 25%, the profit is 25%. If the discount is 10%, then the profit is
Choices:
20%
35%
50%
None of these
Answer: C
Question: The sum of first five prime numbers is?
Choices:
11
26
28
None
Answer: A
Question: If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 45000 sheets of xerox paper?
Choices:
$1060
$1350
$900
$2100
Answer: D
Question: The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
Choices:
240
228
236
246
Answer: A
Question: A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 6, what is the smallest possible total number of tokens in the jar?
Choices:
12
15
18
21
Answer: D
Question: A coin is tossed seven times. What is the probability that there is at the least one tail?
Choices:
127/128
31/167
31/117
31/128
Answer: A
Question: A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 10 seconds. Find the length of the train and its speed.
Choices:
10 m/sec
18 m/sec
19 m/sec
25 m/sec
Answer: A
Question: If m and n are whole numbers such that
mn=121
, the value of
(m−1)n+1 is
Choices:
10
100
1000
None of these
Answer: C
Question: In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what A percentage of those asked favoured more than one of the 3 proposals.
Choices:
12
17
22
30
Answer: B
Question: In the first 12 overs of a one day cricket game, the run rate was only 3 What should be the run rate in the remaining 38 overs of a one day match to reach the target of 282 runs?
Choices:
5.47
6.14
6.47
6.84
Answer: C
Question: A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 1881, What is the value of n?
Choices:
38
114
122
672
Answer: B
Question: Find the value of (X) in the given equation ?
35% of 1500 + X = 45% of 4200 – 320
Choices:
ANSWER: 1048
ANSWER: 1041
ANSWER: 1045
ANSWER: 10412
Answer: C
Question: Mike started a business with Rs.45000. After 3 months John joined him with a capital of Rs. 60000. After another 6 months, Tom joined them with a capital of Rs.90000. At the end of the yr, they made a profit of Rs.20000. What would be Tom share in it?
Choices:
Rs. 2500
Rs. 3500
Rs. 4000
Rs. 5000
Answer: C
Question: Ram goes to market with a speed of 3km/h and comes back home with a speed of 2km/h. If he takes 5 hours in all, find the distance between home and market.
Choices:
4 km
6 km
5 km
7 km
Answer: B
Question: A grocer has a sale of Rs. 5255, Rs. 5840, Rs. 5921, Rs. 6022 and Rs. 6499 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5500?
Choices:
4463
5463
4063
5063
Answer: A
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
6 sec
8 sec
10 sec
11 sec
Answer: A
Question: An athlete runs 200 meters race in 24sec. His speed is?
Choices:
15km/hr
30km/hr
25km/hr
40km/hr
Answer: B
Question: Two dice are tossed once. What is the probability of getting an even number on the first die or a total sum of 6 on the two dice?
Choices:
5/12
7/12
11/18
19/36
Answer: B
Question: If 16% of 40% of a number is 6, then the number is
Choices:
225
93.75
320
None of these
Answer: B
Question: How much 60% of 50 is greater than 40% of 30?
Choices:
18
33
22
11
Answer: A
Question: Salad dressing P is made up of 30% vinegar and 70% oil, and salad dressing Q contains 10% vinegar and 90% oil. If the two dressings are combined to produce a salad dressing that is 22% vinegar, dressing P comprises what percentage of the new dressing?
Choices:
40%
50%
60%
75%
Answer: C
Question: For every positive odd integer n, the function h(n) is defined to be the product of all the odd integers from 1 to n, inclusive. If p is the smallest prime factor of h(100) +2(100)+1, then p is?
Choices:
between 10 and 20
between 20 and 30
between 30 and 40
1
Answer: D
Question: A computer factory produces 4200 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Choices:
3.125.
4.5
5.225
6.25
Answer: A
Question: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is?
.
Choices:
12
24
36
48
Answer: A
Question: In a mixture of 13 litres, the ratio of milk and water is 3 : 2. If 3 liters of this mixture is replaced by 3 liters of milk, then what will be the ratio of milk and water in the newly formed mixture?
Choices:
9 : 2
9 : 7
9 : 4
9 : 3
Answer: C
Question: A circular mat with diameter 7 inches is placed on a square tabletop, each of whose sides is 10 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
3/9
1/6
3/2
1/7
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
2/115
1/216
1/213
1/215
Answer: B
Question: Peter invested a certain sum of money in a simple interest bond whose value grew to $300 at the end of 3 years and further to $400 at the end of another 5 years. What was the rate of interest in which he invested his sum?
Choices:
12.5%
6.67%
6.25%
8.33%
Answer: D
Question: The cost of 4 bananas and 4 oranges is $36. The cost of 2 bananas and 5 oranges is $33. What is the cost of 1 orange?
Choices:
5
4
6
5.5
Answer: A
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 8 rows or 6 rows or 4 rows, then no tree will be left. Find the least number of trees required
Choices:
60
24
76
21
Answer: B
Question: In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 565. What is the sum of the last 5 integers in the sequence?
Choices:
580
575
590
565
Answer: C
Question: (ab)x−2=(ba)x−7. What is the value of x ?
Choices:
4.5
7.5
9.5
8.7
Answer: A
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 65.50, his capital is?
Choices:
26,200
24,600
24,628
24,6012
Answer: A
Question: The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-9), how many units is P from the y-axis?
Choices:
18
9
4.5
3
Answer: A
Question: If the price of 100 toys is 2500, then what will the price of 50 toys ?
Choices:
1250
117
287
112
Answer: A
Question: A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 120 more than A :
Choices:
3480
2767
1998
2771
Answer: A
Question: In a village of 2,700 people, 900 people are over 70 years old and 1200 people are female. It is known that 40 percent of the females are younger than 70 years old. If no one in the village is 70 years old, what is the probability that a person chosen at random is either a female or younger than 70 years old?
Choices:
14/15
29/30
44/45
131/135
Answer: A
Question: On a sum of money, the S.I. for 2 years is $600, while the C.I. is $615, the rate of interest being the same in both the cases. The rate of interest is?
Choices:
5%
6%
7%
8%
Answer: A
Question: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
Choices:
4
5
6
7
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
37
48
266
121
Answer: B
Question: The sum of the first 80 positive even integers is 6480. What is the sum of the first 80 odd integers?
Choices:
6300
6400
6500
6600
Answer: B
Question: The food in a camp lasts for 20 men for 40 days. If ten more men join, how many days will the food last?
Choices:
40 days
30 days
50 days
45 days
Answer: A
Question: A trouser in bazaar was marked down 40% the first week and another 10% the next week. What percent of the regular price was the final cost of the trouser after the two markdowns?
Choices:
36%
40%
50%
54%
Answer: D
Question: Evaluate 4.3*4.3*4.3+1/4.3*4.3-4.3+1
Choices:
52.3
5.3
42.3
32.3
Answer: B
Question: Find the odd man out. 9, 16, 36, 121, 169, 225, 361, 400, 440
Choices:
225
361
440
400
Answer: C
Question: The compounded ratio of (2 : 3), (6: 11) and (11 :2) is
Choices:
2:1
2:9
2:2
2:5
Answer: A
Question: A worker is paid x rupees for painting every 6 metres of a wall and y rupees for painting every extra metre. During one week, he painted 6 metres on Monday, 7 metres on Tuesday, 8 metres on Wednesday, 9 metres on Thursday and 10 metres on Friday. What is his average daily earning rupees for the five day week?
Choices:
x+2y
10x + (8/5)y
None of these
Cannot be determined
Answer: A
Question: A and B together can do a piece of work in 10 days. B alone can finish it in 20 days. In how many days can A alone finish the work ?
Choices:
20 days
30 days
40 days
50 days
Answer: A
Question: An odd integer between 600 and 800 is divisible by 7 and also divisible by 9. What is the sum
of its digits?
Choices:
12
18
21
27
Answer: B
Question: If k is a positive integer, which of the following must be divisible by 26?
Choices:
(k – 4)(k – 2)(k + 3)(k + 5)
(k – 2)(k + 3)(k + 5)(k + 6)
(k + 1)(k + 3)(k + 5)(k + 7)
(k – 3)(k + 1)(k + 4)(k + 6)
Answer: C
Question: In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?
Choices:
56.5 kg
60.9 kg
66.5 kg
75.5 kg
Answer: C
Question: 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 9 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
Choices:
20
19
29
39
Answer: A
Question: In a group of 70 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
Choices:
1160
1180
1200
1040
Answer: D
Question: Average of five numbers is 8, and the sum of three of the numbers is 21, what is the average of the other 2 numbers?
Choices:
5.2
9.5
7.8
5.6
Answer: B
Question: We had $1400 left after spending 30% of the money that we took for shopping. How much money did we start with?
Choices:
$2000
$2200
$2300
$2400
Answer: A
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Menâ€™s wages are?
Choices:
Rs.6
Rs.8
Rs.5
Rs.2
Answer: A
Question: If A : B = 4 : 9 and B : C = 5 : 9 then A : B : C is :
Choices:
35 : 36 : 63
30 : 35 : 65
20 :45: 81
None of these
Answer: C
Question: Calculate the % profit or loss, if the cost price of 9 balls is equal to the selling price of 14 balls.
Choices:
35.7%
15.7%
55.7%
45.7%
Answer: A
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
2/7
5/7
13/21
Answer: A
Question: The average marks of a class of 26 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
59.5
52.8
52.5
53.1
Answer: D
Question: If 2m + n = 7 and m + 2n = 5, then (2m + n)/2 =
Choices:
7/2
17/5
18/5
4
Answer: A
Question: If an object travels 80 feet in 4 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Choices:
9.47
11.58
13.64
15.92
Answer: C
Question: A box contains 35 mangoes out of which 8 are spoilt. If eight mangoes are chosen at random, find the probability that A number is selected at random from first hundred natural numbers. What is the chance that it is a multiple of either 11 or 15?
Choices:
3/20
7/20
11/20
9/20
Answer: A
Question: A girl has 10 jeans and 12 shirts. In how many different ways can she select a jeans and a shirts?
Choices:
B)102
C)108
D)110
E)120
Answer: D
Question: A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is
Choices:
4 hours 30 minutes
4 hours 45 minutes
5 hours
None of these
Answer: B
Question: If x^2+(1/x^2)=9, x^4+(1/x^4)=?
Choices:
11
12
14
79
Answer: D
Question: There are 100 men in town. Out of which 85% were married, 70% have a phone, 75% own a car, 80% own a house. What is the maximum number of people who are married, own a phone, own a car and own a house?
Choices:
60
70
80
90
Answer: B
Question: A person purchased a TV set for Rs. 15000 and a DVD player for Rs. 6000. He sold both the items together for Rs. 31500. What percentage of profit did he make?
Choices:
50%
40%
45%
20%
Answer: A
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
72
27
25
Answer: A
Question: Train A and Train B began traveling towards each other from opposite ends of a 480-mile long track at 1:00 PM. If Train A traveled at 35 miles per hour and Train B traveled at 25 miles per hour, at what time did the trains meet?
Choices:
6:00 PM
7:20 PM
9:00 PM
9:20 PM
Answer: C
Question: An amount of 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9 3⁄4% , then the amount invested in each share was:
Choices:
62,500; 37,500
72,500: 27,500
82,500; 17,500
None of these
Answer: A
Question: What is the product of all positive factors of 12?
Choices:
324
1728
3042
5832
Answer: B
Question: A wheel rotates 20 times every minute and moves 15 cm during each rotation. How many metres does the wheel move in one hour?
Choices:
18 metre
180 metre
1200 metre
130 metre
Answer: B
Question: 16 men can complete a piece of work in 30 days. In how many days can 20 men complete that piece of work?
Choices:
77 days
20 days
24 days
44 days
Answer: C
Question: The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 20 per kg. The inflation rate for the years 1994 and 1995 are expected to be 8% each. The expected price of sugar on January 1, 1996 would be
Choices:
24.0
24.2
24.6
None of these
Answer: B
Question: Find the odd man out
444, 300, 200, 136, 87, 84, 80
Choices:
87
136
200
444
Answer: A
Question: If x and y are integers and 3^(x-4) = 3^(y+2), what is x in terms of y?
Choices:
y- 5
y - 2
y + 2
y + 6
Answer: D
Question: 1,3,5,7,9,..50 find term of sequnce for this.
Choices:
1567
1243
2767
2500
Answer: D
Question: If (27/4)x - 18 = 3x+27
what is the value of x?
Choices:
12
1/12
-1/12
3
Answer: A
Question: If n is the product of the integers from 1 to 10, inclusive, how many different prime factors greater than 1 does n have?
Choices:
Four
Six
Seven
Eight
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
48 sec
55
27
21
Answer: A
Question: When positive integer X is divided by positive integer Y, the remainder is 11.52. If X/Y = 96.12, what is the value of Y?
Choices:
96
48
25
12
Answer: A