CBT-1 - Question Bank

1. If a number is increased by 50% and then decreased by 50%, the net percentage change is:
A) 0%
B) 20% decrease
C) 25% decrease
D) 50% decrease
2. The sum of the first 10 natural numbers is:
A) 50
B) 55
C) 60
D) 65
3. If x/y = 2/3, then (3x + 2y) / (2x + 3y) is equal to:
A) 4/9
B) 8/13
C) 12/13
D) 13/12
4. A shopkeeper marks his goods 20% above the cost price and then offers a 10% discount. His net profit percentage is:
A) 8%
B) 10%
C) 12%
D) 15%
5. What is the value of (5!)/(3!)?
A) 2
B) 6
C) 20
D) 60
6. Two numbers are such that their difference is 5 and their sum is 15. The numbers are:
A) 5 and 10
B) 7 and 12
C) 10 and 15
D) 5 and 20
7. If the altitude of a triangle is 10 cm and its base is 8 cm, what is its area?
A) 18 sq cm
B) 40 sq cm
C) 80 sq cm
D) 160 sq cm
8. What is the square root of 1024?
A) 30
B) 32
C) 34
D) 36
9. A can complete a work in 10 days and B can complete it in 15 days. In how many days can they complete the work together?
A) 5 days
B) 6 days
C) 7.5 days
D) 8 days
10. If the length of a rectangle is increased by 10% and the width is decreased by 10%, the percentage change in area is:
A) 1% decrease
B) 1% increase
C) 5% decrease
D) 10% decrease
11. What is the value of 0.75 as a fraction?
A) 1/4
B) 1/2
C) 3/4
D) 4/3
12. The sum of digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. The original number is:
A) 36
B) 45
C) 54
D) 63
13. If a man walks at 4 km/hr, he reaches his destination 30 minutes late. If he walks at 5 km/hr, he reaches 15 minutes early. What is the distance?
A) 15 km
B) 20 km
C) 25 km
D) 30 km
14. What is the average of the first 5 prime numbers?
A) 5
B) 5.6
C) 6
D) 7.2
15. A number is multiplied by 5 and then 10 is subtracted from it. The result is 40. The number is:
A) 6
B) 8
C) 10
D) 12
16. If the radius of a circle is 7 cm, what is its circumference? (Use pi = 22/7)
A) 22 cm
B) 44 cm
C) 154 cm
D) 308 cm
17. What is the compound interest on Rs. 1000 for 2 years at 10% per annum?
A) Rs. 100
B) Rs. 200
C) Rs. 210
D) Rs. 220
18. Two trains starting from the same station run in opposite directions. Their speeds are 50 km/hr and 60 km/hr. What is the distance between them after 2 hours?
A) 100 km
B) 110 km
C) 120 km
D) 220 km
19. If the cost price of 10 pens is equal to the selling price of 8 pens, the profit percentage is:
A) 10%
B) 15%
C) 20%
D) 25%
20. What is the value of (3^2 * 3^3) / 3^4?
A) 1/3
B) 3
C) 9
D) 27
21. A number is divided by 5 and then by 3. The result is 10. The number is:
A) 15
B) 30
C) 50
D) 150
22. If 15% of a salary is Rs. 3000, then the total salary is:
A) Rs. 15000
B) Rs. 20000
C) Rs. 25000
D) Rs. 30000
23. The sum of the ages of a father and son is 60 years. If the father's age is three times the son's age, what is the father's age?
A) 15 years
B) 20 years
C) 45 years
D) 50 years
24. What is the value of (sqrt(16) + sqrt(9)) / sqrt(4)?
A) 1
B) 3.5
C) 4
D) 7
25. A rectangular field is 50 meters long and 30 meters wide. What is its area?
A) 80 sq m
B) 150 sq m
C) 1500 sq m
D) 2000 sq m
26. Two numbers are in the ratio 5:7. If the product of the numbers is 175, the numbers are:
A) 5 and 7
B) 10 and 14
C) 15 and 21
D) 25 and 35
27. If a number is increased by 20% and then decreased by 20%, the net percentage change is:
A) 0%
B) 2% decrease
C) 4% decrease
D) 4% increase
28. The difference between the circumference and diameter of a circle is 132 cm. What is the radius of the circle? (Use pi = 22/7)
A) 7 cm
B) 14 cm
C) 21 cm
D) 28 cm
29. What is the probability of getting a head when a fair coin is tossed?
A) 0
B) 1/4
C) 1/2
D) 1
30. If the speed of a boat in still water is 10 km/hr and the speed of the stream is 2 km/hr, then the speed of the boat downstream is:
A) 8 km/hr
B) 10 km/hr
C) 12 km/hr
D) 20 km/hr
31. A clock shows 3:30. What is the angle between the hour hand and the minute hand?
A) 60 degrees
B) 75 degrees
C) 90 degrees
D) 105 degrees
32. The sum of three consecutive integers is 45. The integers are:
A) 13, 14, 15
B) 14, 15, 16
C) 15, 16, 17
D) 16, 17, 18
33. What is the value of x if 2x + 5 = 15?
A) 2
B) 5
C) 7
D) 10
34. If 5 men can do a piece of work in 10 days, how many days will it take for 10 men to do the same work?
A) 2 days
B) 5 days
C) 10 days
D) 20 days
35. Simplify: (5/3) + (7/6)
A) 1
B) 17/6
C) 3
D) 19/6
36. A man buys 10 apples for Rs. 100. What is the cost price of one apple?
A) Rs. 5
B) Rs. 8
C) Rs. 10
D) Rs. 12
37. What is the least common multiple (LCM) of 8 and 12?
A) 16
B) 24
C) 36
D) 48
38. If 30% of a number is 60, then the number is:
A) 180
B) 200
C) 220
D) 240
39. The length of a rectangle is twice its width. If the perimeter is 60 cm, what is the length?
A) 10 cm
B) 15 cm
C) 20 cm
D) 30 cm
40. A person borrows Rs. 1000 at 5% simple interest per annum. The interest for 3 years will be:
A) Rs. 100
B) Rs. 150
C) Rs. 200
D) Rs. 250
41. What is the greatest common divisor (GCD) of 12, 18, and 24?
A) 2
B) 3
C) 4
D) 6
42. If the side of a square is 8 cm, what is its area?
A) 16 sq cm
B) 32 sq cm
C) 64 sq cm
D) 128 sq cm
43. The sum of squares of two consecutive even numbers is 100. The numbers are:
A) 4 and 6
B) 6 and 8
C) 8 and 10
D) 10 and 12
44. What is the value of (12 * 15) + (20 / 4)?
A) 165
B) 170
C) 185
D) 190
45. A shopkeeper sells an article for Rs. 500 at a profit of 25%. What is the cost price of the article?
A) Rs. 375
B) Rs. 400
C) Rs. 425
D) Rs. 450
46. The ratio of two numbers is 3:4 and their sum is 70. The numbers are:
A) 30 and 40
B) 15 and 55
C) 21 and 49
D) 25 and 45
47. If a train travels at 60 km/hr, how long will it take to cover a distance of 150 km?
A) 1.5 hours
B) 2 hours
C) 2.5 hours
D) 3 hours
48. What is the average of the first five multiples of 3?
A) 7
B) 9
C) 12
D) 15
49. Which of the following topics is typically NOT covered in the Mathematics section of RRB ALP CBT-1?
A) Number System
B) Percentage
C) Profit and Loss
D) Trigonometry
50. What is the maximum mark allotted for the Mathematics section in RRB ALP CBT-1?
A) 15
B) 20
C) 25
D) 30
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