arithmetical computation and analytical functions - Question Bank

1. A number is increased by 10% and then decreased by 10%. What is the net percentage change?
A) 1% increase
B) 1% decrease
C) No change
D) 2% decrease
2. Find the least common multiple (LCM) of 8, 12, and 18.
A) 36
B) 72
C) 108
D) 144
3. If 5 men and 3 women can do a work in 8 days, and 2 men and 5 women can do the same work in 10 days, then 3 men and 3 women can do the work in how many days?
A) 5 days
B) 6 days
C) 7 days
D) 8 days
4. What is the probability of getting a head when a coin is tossed?
A) 0
B) 1/4
C) 1/2
D) 1
5. If a sum of money becomes Rs. 12100 in 2 years at 10% compound interest, what is the principal amount?
A) Rs. 9000
B) Rs. 10000
C) Rs. 11000
D) Rs. 12000
6. Find the value of (0.05 * 0.05) / (0.05 + 0.05).
A) 0.0025
B) 0.025
C) 0.05
D) 0.1
7. If the diagonal of a square is 10 cm, what is its area?
A) 25 sq cm
B) 50 sq cm
C) 75 sq cm
D) 100 sq cm
8. A cistern is filled by a pipe in 5 hours. It is emptied by another pipe in 4 hours. If both pipes are opened, how long will it take to empty the cistern?
A) 10 hours
B) 15 hours
C) 20 hours
D) 25 hours
9. The sum of the first 10 even numbers is:
A) 100
B) 110
C) 120
D) 130
10. If x:y = 2:3 and y:z = 4:5, then x:z is:
A) 2:5
B) 8:15
C) 3:5
D) 6:10
11. A man buys 10 kg of rice at Rs. 20/kg and 15 kg of rice at Rs. 25/kg. What is the average price per kg?
A) Rs. 22.50
B) Rs. 23
C) Rs. 23.50
D) Rs. 24
12. If 60% of a number is 120, what is 25% of that number?
A) 40
B) 50
C) 60
D) 70
13. What is the smallest number that must be added to 1900 so that the sum is divisible by 12?
A) 2
B) 4
C) 6
D) 8
14. A sum of Rs. 10000 is invested for 2 years at 5% per annum compound interest. What is the amount after 2 years?
A) Rs. 11000
B) Rs. 11025
C) Rs. 11050
D) Rs. 11100
15. If the area of a square is 81 sq cm, what is its perimeter?
A) 9 cm
B) 18 cm
C) 27 cm
D) 36 cm
16. Two numbers are in the ratio 2:3. If their product is 216, find the numbers.
A) 10 and 15
B) 12 and 18
C) 14 and 21
D) 16 and 24
17. Find the value of x if 2x + 5 = 15.
A) 4
B) 5
C) 6
D) 10
18. A man can row a boat downstream at 12 km/hr and upstream at 8 km/hr. What is the speed of the man in still water?
A) 9 km/hr
B) 10 km/hr
C) 11 km/hr
D) 12 km/hr
19. If 3/5 of a number is 90, then 1/3 of that number is:
A) 30
B) 45
C) 50
D) 60
20. What is the remainder when 7^3 is divided by 5?
A) 1
B) 2
C) 3
D) 4
21. A person walks from point A to point B at 4 km/hr and from B to A at 6 km/hr. What is the average speed for the entire journey?
A) 4.5 km/hr
B) 4.8 km/hr
C) 5 km/hr
D) 5.2 km/hr
22. If the price of 10 pens is Rs. 150, then the price of 18 pens is:
A) Rs. 225
B) Rs. 250
C) Rs. 270
D) Rs. 300
23. Find the value of (sqrt(16) + sqrt(25)) / sqrt(9).
A) 1
B) 2
C) 3
D) 4
24. A shopkeeper marks his goods 20% above the cost price and then offers a 10% discount. What is his net profit percentage?
A) 8%
B) 10%
C) 12%
D) 18%
25. If A's salary is 20% more than B's salary, by what percentage is B's salary less than A's salary?
A) 16.67%
B) 20%
C) 25%
D) 15%
26. What is the area of a circle with a radius of 7 cm? (Use pi = 22/7)
A) 44 sq cm
B) 154 sq cm
C) 616 sq cm
D) 88 sq cm
27. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 greater than the original number. Find the number.
A) 36
B) 45
C) 54
D) 63
28. A man buys 20 pens for Rs. 10 each and sells 15 pens for Rs. 12 each. What is the profit/loss?
A) Rs. 30 profit
B) Rs. 30 loss
C) Rs. 10 profit
D) Rs. 10 loss
29. If 15% of a salary is deducted for taxes and 5% for savings, what percentage of the salary is left?
A) 75%
B) 80%
C) 85%
D) 90%
30. What is the smallest 4-digit number that is divisible by 3, 4, and 5?
A) 1000
B) 1020
C) 1040
D) 1060
31. A number is multiplied by 3/4. If the result is 60, find the number.
A) 45
B) 70
C) 80
D) 90
32. If x + y = 5 and x - y = 1, then what is the value of x?
A) 1
B) 2
C) 3
D) 4
33. The speed of a boat in still water is 10 km/hr. If it travels upstream at 8 km/hr, what is the speed of the stream?
A) 1 km/hr
B) 2 km/hr
C) 3 km/hr
D) 4 km/hr
34. If 15% of 80 is added to 30% of 120, the result is:
A) 36
B) 48
C) 50
D) 60
35. A sum of Rs. 5000 is lent at 10% per annum compound interest. What is the interest after 2 years?
A) Rs. 1000
B) Rs. 1050
C) Rs. 1100
D) Rs. 1200
36. Two numbers are in the ratio 5:7. If the sum of the numbers is 144, find the numbers.
A) 60 and 84
B) 70 and 74
C) 50 and 94
D) 40 and 104
37. If the perimeter of a square is 64 cm, what is its area?
A) 16 sq cm
B) 64 sq cm
C) 256 sq cm
D) 512 sq cm
38. What is the value of (125)^(1/3)?
A) 3
B) 5
C) 15
D) 25
39. A rectangular field is 50 meters long and 30 meters wide. What is its area?
A) 80 sq meters
B) 150 sq meters
C) 800 sq meters
D) 1500 sq meters
40. If 20% of a number is 30, what is 50% of that number?
A) 60
B) 75
C) 90
D) 150
41. Find the smallest number which when divided by 6, 9, 12, and 15 leaves a remainder of 4 in each case.
A) 116
B) 124
C) 184
D) 204
42. A sum of money doubles itself in 8 years at simple interest. In how many years will it treble itself?
A) 12 years
B) 16 years
C) 20 years
D) 24 years
43. If the cost price of 12 articles is equal to the selling price of 10 articles, what is the profit percentage?
A) 10%
B) 15%
C) 20%
D) 25%
44. The ratio of two numbers is 3:5 and their LCM is 75. Find the numbers.
A) 15 and 25
B) 30 and 50
C) 45 and 75
D) 10 and 15
45. A clock gains 5 seconds every hour. How much time will it gain in 3 days?
A) 3 minutes
B) 3.6 minutes
C) 4 minutes
D) 4.5 minutes
46. What is the average of the first five prime numbers?
A) 5.6
B) 7.2
C) 9.2
D) 11.6
47. If a number is increased by 20% and then decreased by 10%, what is the net percentage change?
A) 8% increase
B) 10% increase
C) 2% increase
D) 18% increase
48. A shopkeeper buys an article for Rs. 800 and sells it for Rs. 1000. What is his profit percentage?
A) 10%
B) 15%
C) 20%
D) 25%
49. The sum of two numbers is 120 and their difference is 40. What are the numbers?
A) 80 and 40
B) 70 and 50
C) 60 and 60
D) 90 and 30
50. A train travels at a speed of 60 km/hr. How long will it take to cover a distance of 150 km?
A) 1 hour 30 minutes
B) 2 hours
C) 2 hours 30 minutes
D) 3 hours
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