RRB Assistant Loco Pilot - Mathematics: same topics as CBT-1 at a higher difficulty level Online Test (MCQ Quiz)

1. If the sum of the first 'n' natural numbers is 210, what is the value of 'n'?

A) 19 B) 20 C) 21 D) 22

2. The average of 5 consecutive odd numbers is 25. What is the largest of these numbers?

A) 27 B) 29 C) 31 D) 33

3. A train travels at a speed of 60 km/hr. How many seconds will it take to cover a distance of 150 meters?

A) 5 B) 10 C) 15 D) 20

4. If a shopkeeper sells an item for Rs. 400 and makes a profit of 25%, what was the cost price of the item?

A) Rs. 300 B) Rs. 320 C) Rs. 340 D) Rs. 360

5. The ratio of two numbers is 3:5 and their LCM is 75. What is the product of the two numbers?

A) 225 B) 375 C) 525 D) 675

6. If x + 1/x = 5, then what is the value of x^2 + 1/x^2?

A) 23 B) 25 C) 27 D) 29

7. A can do a work in 10 days and B can do the same work in 15 days. In how many days can both A and B together finish the work?

A) 5 B) 6 C) 7 D) 8

8. The sum of the digits of a two-digit number is 12. If the digits are reversed, the number is increased by 18. What is the original number?

A) 57 B) 66 C) 75 D) 84

9. What is the area of a triangle with base 12 cm and height 8 cm?

A) 48 sq cm B) 60 sq cm C) 96 sq cm D) 108 sq cm

10. If the circumference of a circle is 44 cm, what is its radius? (Use pi = 22/7)

A) 3.5 cm B) 7 cm C) 11 cm D) 14 cm

11. A sum of money doubles itself in 5 years at simple interest. In how many years will it become 5 times itself?

A) 15 years B) 20 years C) 25 years D) 30 years

12. Find the value of (2/3)^2 * (3/4)^3 / (5/6)^2

A) 10.8 B) 12.5 C) 15.75 D) 18.9

13. What is the HCF of 144, 180, and 192?

A) 6 B) 12 C) 18 D) 24

14. If a rectangle has a length of 15 cm and a perimeter of 50 cm, what is its width?

A) 8 cm B) 10 cm C) 12 cm D) 15 cm

15. Solve for x: sqrt(x+4) = 3

A) 1 B) 2 C) 3 D) 5

16. Two numbers are in the ratio 5:7. If the sum of the numbers is 144, find the larger number.

A) 50 B) 60 C) 70 D) 84

17. A clock gains 5 minutes every hour. If it is set correctly at 10 AM, what time will it show at 10 AM the next day?

A) 10:00 AM B) 11:00 AM C) 12:00 PM D) 1:00 PM

18. The difference between the squares of two consecutive integers is 21. Find the integers.

A) 10 and 11 B) 11 and 12 C) 12 and 13 D) 10 and 12

19. What is the volume of a cube with side length 6 cm?

A) 36 cu cm B) 108 cu cm C) 216 cu cm D) 256 cu cm

20. If the radius of a sphere is 3 cm, what is its surface area? (Use pi = 3.14)

A) 28.26 sq cm B) 56.52 sq cm C) 84.78 sq cm D) 113.04 sq cm

21. A sum of Rs. 8000 is invested at 5% compound interest per annum. What is the interest earned after 2 years?

A) Rs. 800 B) Rs. 820 C) Rs. 1600 D) Rs. 1640

22. Simplify: (a^2 - b^2) / (a + b)

A) a - b B) a + b C) a^2 + b^2 D) a*b

23. The angles of a triangle are in the ratio 1:2:3. What is the measure of the largest angle?

A) 30 degrees B) 60 degrees C) 90 degrees D) 120 degrees

24. If 30% of a number is 150, what is 70% of that number?

A) 300 B) 350 C) 400 D) 450

25. What is the smallest number that is divisible by 3, 4, 5, and 6?

A) 30 B) 60 C) 90 D) 120

26. If the diagonal of a square is 10*sqrt(2) cm, what is its area?

A) 50 sq cm B) 100 sq cm C) 150 sq cm D) 200 sq cm

27. A boat travels downstream at 20 km/hr and upstream at 15 km/hr. What is the speed of the stream?

A) 2.5 km/hr B) 5 km/hr C) 7.5 km/hr D) 10 km/hr

28. If log_2(x) = 4, what is the value of x?

A) 8 B) 16 C) 32 D) 64

29. Find the value of sin(30) + cos(60)

A) 0 B) 1 C) 1.5 D) 2

30. If the mean of 5 observations x, x+2, x+4, x+6, x+8 is 10, find the value of x.

A) 6 B) 7 C) 8 D) 9

31. 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) 15%

32. What is the probability of drawing a spade from a standard deck of 52 cards?

A) 1/13 B) 1/4 C) 1/2 D) 3/4

33. If the length of a rectangle is increased by 10% and the width is decreased by 10%, what is the percentage change in its area?

A) 1% decrease B) 0% change C) 1% increase D) 10% decrease

34. Solve for x: 2x^2 - 5x + 2 = 0

A) 1/2 and 2 B) 1 and 2 C) 1/2 and 1 D) 2 and 3

35. The sum of three consecutive integers is 63. What is the middle integer?

A) 19 B) 20 C) 21 D) 22

36. A cistern can be filled by a tap in 5 hours and emptied by another tap in 4 hours. If the cistern is half full, how long will it take to empty it?

A) 1 hour B) 2 hours C) 3 hours D) 4 hours

37. What is the value of (x^3 - y^3) / (x - y) if x is not equal to y?

A) x^2 + y^2 B) x^2 - y^2 C) x^2 + xy + y^2 D) x^2 - xy + y^2

38. If the perimeter of an equilateral triangle is 36 cm, what is its area?

A) 36*sqrt(3) sq cm B) 72*sqrt(3) sq cm C) 108*sqrt(3) sq cm D) 144*sqrt(3) sq cm

39. A man buys oranges at 5 for Rs. 10 and sells them at 4 for Rs. 12. What is his profit percentage?

A) 20% B) 25% C) 30% D) 35%

40. If the speed of a car is increased by 20%, how much will its travel time be reduced for the same distance?

A) 16.67% B) 20% C) 25% D) 33.33%

41. What is the value of (0.125)^(1/3)?

A) 0.5 B) 0.25 C) 0.125 D) 0.05

42. If a shopkeeper allows a discount of 10% on the marked price, he earns a profit of 20%. By what percentage is the marked price above the cost price?

A) 30% B) 33.33% C) 40% D) 50%

43. The sum of the first 10 terms of an arithmetic progression is 210. If the first term is 3, what is the common difference?

A) 3 B) 4 C) 5 D) 6

44. If x = 3, y = 4, z = 5, what is the value of (x^2 + y^2 - z^2)?

A) 0 B) 1 C) 2 D) 3

45. Two cyclists start from the same point at the same time, one going north at 10 km/hr and the other going south at 15 km/hr. How far apart will they be after 2 hours?

A) 30 km B) 40 km C) 50 km D) 60 km

46. What is the value of (a^2 - b^2) / (a - b) if a is not equal to b?

A) a + b B) a - b C) a^2 + b^2 D) a*b

47. If the area of a circle is 154 sq cm, what is its circumference? (Use pi = 22/7)

A) 22 cm B) 44 cm C) 66 cm D) 88 cm

48. A man can row upstream at 10 km/hr and downstream at 16 km/hr. What is the speed of the man in still water?

A) 12 km/hr B) 13 km/hr C) 14 km/hr D) 15 km/hr

49. If x = 1/2, what is the value of (4x^2 - 4x + 1)?

A) 0 B) 1 C) 2 D) 4

50. Find the median of the following numbers: 2, 5, 1, 8, 3, 7, 6

A) 4 B) 5 C) 6 D) 7

Mathematics: same topics as CBT-1 at a higher difficulty level - Online Test

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