RRB NTPC - Elementary Algebra Online Test (MCQ Quiz)

1. What is the value of 'x' in the equation 2x + 5 = 15?

A) 5 B) 10 C) 7 D) 3

2. If a + b = 10 and a - b = 4, what is the value of 'a'?

A) 7 B) 3 C) 6 D) 5

3. Expand the expression (x + y)^2.

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

4. Factorize the expression x^2 - 9.

A) (x - 3)(x + 3) B) (x - 9)(x + 1) C) (x + 3)^2 D) (x - 3)^2

5. Solve for 'y' in the equation 3y - 7 = 8.

A) 5 B) 15 C) 3 D) 4

6. What is the value of the expression 5a + 3b when a=2 and b=4?

A) 14 B) 22 C) 10 D) 12

7. If x/3 = 5, what is the value of x?

A) 15 B) 8 C) 2 D) 5/3

8. Which of the following is a linear equation?

A) x^2 + 2x + 1 = 0 B) 2x - 5 = 7 C) x^2 + y^2 = 9 D) x + y = xy

9. What is the sum of the roots of the quadratic equation ax^2 + bx + c = 0?

A) c/a B) -b/a C) b/a D) -c/a

10. If (x - 2)(x + 3) = 0, what are the possible values of x?

A) 2 and -3 B) -2 and 3 C) 2 and 3 D) -2 and -3

11. What is the product of the roots of the quadratic equation 2x^2 - 5x + 3 = 0?

A) -5/2 B) 3/2 C) 5/2 D) -3/2

12. Simplify the expression: 3(x + 2) - 2(x - 1).

A) x + 8 B) 5x + 4 C) x - 4 D) 5x - 4

13. If the cost price of an item is 'C' and the selling price is 'S', the profit is given by:

A) C - S B) S + C C) S - C D) C / S

14. What is the value of x^0, where x is any non-zero number?

A) x B) 0 C) 1 D) Undefined

15. Solve the inequality 2x < 10 for x.

A) x > 5 B) x < 5 C) x = 5 D) x >= 5

16. If a = 5, b = -2, what is the value of a^2 - b^2?

A) 21 B) 29 C) 31 D) 19

17. What is the formula for the nth term of an arithmetic progression?

A) a + (n-1)d B) a + nd C) a * (n-1)d D) a + (n+1)d

18. If x + 1/x = 3, what is the value of x^2 + 1/x^2?

A) 7 B) 9 C) 5 D) 11

19. What is the average of the first 5 natural numbers?

A) 2 B) 3 C) 4 D) 5

20. If three consecutive integers are x, x+1, and x+2, their sum is:

A) 3x + 3 B) 3x + 1 C) 3x + 2 D) x + 3

21. Solve for x: 4x - 3 = 2x + 7.

A) 5 B) 10 C) 2 D) 4

22. If y = 3x - 2, what is the value of y when x = 4?

A) 10 B) 12 C) 14 D) 8

23. Which algebraic identity is used to find the difference of two squares?

A) (a+b)^2 = a^2 + 2ab + b^2 B) (a-b)^2 = a^2 - 2ab + b^2 C) a^2 - b^2 = (a-b)(a+b) D) (a+b)(a-b) = a^2 + b^2

24. If x:y = 2:3 and y:z = 4:5, what is the ratio x:z?

A) 2:5 B) 8:15 C) 3:5 D) 2:3

25. What is the value of the expression (a+b)(a-b) when a=5 and b=3?

A) 8 B) 16 C) 25 D) 9

26. If the perimeter of a square is 4s, what is its area?

A) s^2 B) 16s^2 C) 4s^2 D) s

27. Solve for x: 1/x + 1/2x = 3/4.

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

28. What is the general form of a linear equation in two variables?

A) ax^2 + bx + c = 0 B) ax + by + c = 0 C) ax^2 + by^2 = c D) a/x + b/y = c

29. If x = 2, y = 3, what is the value of 2x^2 + 3y?

A) 17 B) 25 C) 19 D) 23

30. What is the discriminant of the quadratic equation ax^2 + bx + c = 0?

A) b^2 + 4ac B) b^2 - 4ac C) -b/a D) c/a

31. If x + y = 12 and xy = 35, what is the value of x^2 + y^2?

A) 74 B) 144 C) 100 D) 120

32. Simplify: (a^m * a^n) / a^p

A) a^(m+n-p) B) a^(m-n+p) C) a^(mn-p) D) a^(m+n)/a^p

33. What is the value of 'k' if (x - 2) is a factor of x^2 + kx + 6?

A) 5 B) -5 C) 3 D) -3

34. If a number is increased by 20% and then decreased by 20%, the net change is:

A) 4% increase B) 4% decrease C) No change D) 20% increase

35. Solve for x: sqrt(x) = 5.

A) 10 B) 25 C) 2 D) 5

36. What is the sum of the first 'n' odd natural numbers?

A) n^2 B) n(n+1) C) (n+1)^2 D) 2n - 1

37. If x = -1, what is the value of 3x^3 - 2x^2 + 5x - 4?

A) -14 B) -10 C) -6 D) -4

38. Factorize: 4x^2 - 25y^2.

A) (2x - 5y)(2x + 5y) B) (4x - 5y)(x + 5y) C) (2x - 5y)^2 D) (4x + 5y)^2

39. What is the solution set for the equation |x| = 7?

A) {7} B) {-7} C) {7, -7} D) {49}

40. If a:b = 1:2 and b:c = 3:4, what is the ratio a:b:c?

A) 1:2:4 B) 3:6:8 C) 1:3:4 D) 3:2:4

41. Solve for x: 2^x = 8.

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

42. What is the value of the determinant of a 2x2 matrix [[a, b], [c, d]]?

A) ad + bc B) ac + bd C) ad - bc D) ab - cd

43. If x is an integer such that 5 < x < 10, how many possible values of x are there?

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

44. What is the formula for the sum of a geometric progression?

A) a(r^n - 1) / (r - 1) B) a(1 - r^n) / (1 - r) C) a / (1 - r) D) a(r^n + 1) / (r + 1)

45. If x = 3, what is the value of (x^2 - 1) / (x + 1)?

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

46. Which of the following is NOT a factor of x^3 - 8?

A) (x - 2) B) (x^2 + 2x + 4) C) (x + 2) D) (x^2 - 2x + 4)

47. If a number is multiplied by 5 and then 3 is added to the result, the answer is 18. The number is:

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

48. What is the value of the expression (a^2 + b^2) if a + b = 7 and ab = 10?

A) 29 B) 49 C) 39 D) 59

49. If two angles of a triangle are x and 2x, and the third angle is 60 degrees, what is the value of x?

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

50. Solve for x: log_2(x) = 3.

A) 6 B) 9 C) 8 D) 5

Elementary Algebra - Online Test

Test Results