Practice set-1| Competitive Exam| Math questions

 Here are 30 mathematics questions for competitive exams:

*Arithmetic*

1. What is the value of x in the equation \[2x + 5 = 11?\]

A) 2

B) 3

C) 4

D) 5

2. If a bakery sells 250 loaves of bread at ₹20 each, what is the total revenue?

A) ₹5000

B) ₹500

C) ₹2500

D) ₹1000

3. A car travels 250 km in 5 hours. What is its average speed?

A) 50 km/h

B) 60 km/h

C) 40 km/h

D) 30 km/h

*Algebra*

4. Simplify the expression: \[2x + 3x - 4x\]

A) x

B) 2x

C) 3x

D) 4x

5. Solve the equation: \[x - 2 = 7\]

A) \[x = 9\]

B) \[x = 10\]

C) \[x = 5\]

D) \[x = 6\]

6. If \[a + b = 10\] and \[a - b = 2\], what is the value of \[a?\]

A) 4

B) 5

C) 6

D) 7

*Geometry*

7. What is the perimeter of a rectangle with length 8 cm and width 5 cm?

A) 20 cm

B) 22 cm

C) 24 cm

D) 26 cm

8. What is the area of a triangle with base 10 cm and height 6 cm?

A) 20 cm²

B) 24 cm²

C) 30 cm²

D) 36 cm²

9. What is the volume of a cube with edge length 5 cm?

A) 100 cm³

B) 125 cm³

C) 150 cm³

D) 175 cm³

*Data Interpretation*

10. The average of 5 numbers is 20. What is the sum of the numbers?

A) 80

B) 90

C) 100

D) 120

11. A shopkeeper sells 20% more items in the second week than in the first week. If he sold 100 items in the first week, how many items did he sell in the second week?

A) 110

B) 120

C) 130

D) 140

12. What is the percentage increase from 50 to 60?

A) 10%

B) 15%

C) 20%

D) 25%

*Number System*

13. What is the least common multiple (LCM) of 12 and 15?

A) 30

B) 60

C) 90

D) 120

14. What is the greatest common divisor (GCD) of 24 and 30?

A) 2

B) 3

C) 6

D) 12

15. What is the value of x in the equation \[x² + 4x + 4 = 0?\]

A) -2

B) -1

C) 1

D) 2

*Miscellaneous*

16. A clock shows 3:45. What is the angle between the hour and minute hands?

A) 90°

B) 105°

C) 120°

D) 135°

17. A train travels from City A to City B at 60 km/h and returns at 40 km/h. What is its average speed?

A) 45 km/h

B) 48 km/h

C) 50 km/h

D) 55 km/h

18. What is the value of x in the equation \[3x - 2 = 7?\]

A) 2

B) 3

C) 4

D) 5

19. A shopkeeper offers a 10% discount on a ₹500 item. What is the selling price?

A) ₹450

B) ₹460

C) ₹470

D) ₹480

20. What is the sum of the interior angles of a triangle?

A) 90°

B) 120°

C) 150°

D) 180°

21. A car travels 200 km in 4 hours. What is its average speed?

A) 40 km/h

B) 50 km/h

C) 60 km/h

D) 70 km/h

22. What is the value of x in the equation \[x + 2 = 9?\]

A) 5

B) 6

C) 7

D) 8

23. A bakery sells 300 loaves of bread at ₹15 each. What is the total revenue?

A) ₹4500

B) ₹5000

C) ₹5500

D) ₹6000

24. What is the area of a circle with radius 7 cm?

A) 100 cm²

B) 120 cm²

C) 140 cm²

D) 154 cm²

25. What is the value of x in the equation \[2x + 3 = 11?\]

A) 2

B) 3

C) 4

D) 5

26. A shopkeeper sells 25% more items in the second week than in the first week. If he sold 80 items in the first week, how many items did he sell in the second week?

A) 90

B) 100

C) 110

D) 120

27. What is the percentage decrease from 80 to 60?

A) 10%

B) 15%

C) 20%

D) 25%

28. What is the value of x in the equation \[x - 3 = 2?\]

A) 4

B) 5

C) 6

D) 7

29. A train travels from City A to City B at 50 km/h and returns at 60 km/h. What is its average speed?

A) 50 km/h

B) 54 km/h

C) 55 km/h

D) 60 km/h

30. What is the sum of the exterior angles of a polygon?

A) 180°

B) 360°

C) 540°

D) 720°

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