Free Mock Test | RRB JE CBT 1 | Mathematics | 30 Questions

RRB JE Maths Mock Test

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Mathematics

1. The ratio of the ages of A and B is 4:5. After 5 years, the ratio of their ages becomes 5:6. What is the present age of A?

a) 20
b) 25
c) 30
d) 35

2. A man travels 4 km East, 3 km North, and then 4 km West. How far is he from the starting point?

a) 2 km
b) 5 km
c) 1 km
d) 3 km

3. What is the value of (7^2 + 5^2) / (7 + 5)?

a) 6
b) 8
c) 10
d) 12

4. If x + y = 10 and x^2 + y^2 = 58, what is the value of xy?

a) 28
b) 20
c) 24
d) 30

5. The sum of the squares of two consecutive even numbers is 340. What are the numbers?

a) 10, 12
b) 14, 16
c) 16, 18
d) 18, 20

6. A boat moves upstream at a speed of 5 km/h and downstream at 9 km/h. What is the speed of the boat in still water?

a) 7 km/h
b) 6 km/h
c) 8 km/h
d) 5 km/h

7. What is the area of a triangle whose base is 10 cm and height is 12 cm?

a) 50 cm²
b) 60 cm²
c) 120 cm²
d) 100 cm²

8. If the volume of a cylinder is 1386 cubic cm and its height is 12 cm, what is its radius?

a) 6 cm
b) 7 cm
c) 8 cm
d) 5 cm

9. The probability of an event occurring is 3/5. What is the probability of it not occurring?

a) 2/5
b) 1/3
c) 1/5
d) 4/5

10. A train travels 50 km in 1 hour 30 minutes. What is its average speed?

a) 40 km/h
b) 45 km/h
c) 50 km/h
d) 55 km/h

11. The sum of three consecutive numbers is 87. What is the middle number?

a) 28
b) 29
c) 30
d) 31

12. What is the largest prime factor of 100?

a) 2
b) 3
c) 5
d) 7

13. A man invests $1000 at 6% annual compound interest. How much will the investment be worth after 2 years?

a) $1123.60
b) $1152.50
c) $1200.00
d) $1060.00

14. What is the sum of the first 50 even numbers?

a) 2550
b) 2555
c) 2600
d) 2520

15. A car travels 120 km in 2 hours and 30 minutes. What is the average speed of the car?

a) 45 km/h
b) 48 km/h
c) 50 km/h
d) 55 km/h

16. The perimeter of a rectangle is 36 cm, and its length is 10 cm. What is the width of the rectangle?

a) 6 cm
b) 8 cm
c) 4 cm
d) 5 cm

17. If a number is divisible by 12 and 15, what is the smallest number it is divisible by?

a) 60
b) 30
c) 45
d) 72

18. A cylinder has a radius of 7 cm and a height of 14 cm. What is the volume of the cylinder?

a) 150.72 cm³
b) 141.37 cm³
c) 153.94 cm³
d) 162.80 cm³

19. What is the value of sin(30°)?

a) 1/2
b) √3/2
c) 1
d) √2/2

20. What is the solution to the equation 3x + 7 = 19?

a) x = 4
b) x = 5
c) x = 6
d) x = 7

21. If a circle has a radius of 8 cm, what is its circumference? (Use π = 3.14)

a) 50.24 cm
b) 48.26 cm
c) 51.36 cm
d) 55.28 cm

22. What is the area of a square with a side length of 12 cm?

a) 144 cm²
b) 122 cm²
c) 132 cm²
d) 142 cm²

23. If a sum of money is invested at 5% simple interest for 3 years, and the interest earned is $90, what is the principal amount?

a) $1000
b) $1200
c) $900
d) $950

24. The ratio of the area of a circle to its radius is 22:7. What is the radius?

a) 7 cm
b) 14 cm
c) 22 cm
d) 28 cm

25. What is the value of 2^5?

a) 32
b) 64
c) 16
d) 128

26. A shopkeeper buys a shirt for $200 and sells it for $250. What is his percentage profit?

a) 25%
b) 30%
c) 20%
d) 35%

27. A man covers a distance of 120 km in 3 hours. What is his speed?

a) 30 km/h
b) 40 km/h
c) 50 km/h
d) 60 km/h

28. A box contains 5 red, 7 green, and 3 blue balls. What is the probability of drawing a green ball?

a) 7/15
b) 5/15
c) 3/15
d) 10/15

29. If a person works for 8 hours and earns $240, how much does he earn per hour?

a) $30
b) $40
c) $25
d) $50

30. What is the median of the following numbers: 7, 3, 5, 1, 9, 11, 13?

a) 7
b) 8
c) 9
d) 5

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