MCQOPTIONS
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MCQOPTIONS
This section includes 82 Mcqs, each offering curated multiple-choice questions to sharpen your ALGEBRA knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of the following is the numerical coefficient of -5xy? |
| A. | 5 |
| B. | -x |
| C. | -5 |
| D. | -y |
| Answer» D. -y | |
| 2. |
By factorizing algebraic expression bc + bd + yc + yd, answer will be |
| A. | (b - y)(c + d) |
| B. | (2b + 3y)(4c + 2d) |
| C. | (b + y)(c + d) |
| D. | (8b + 4y)(2c + 3d) |
| Answer» D. (8b + 4y)(2c + 3d) | |
| 3. |
Which of the following is the numerical coefficient of x 2;y 2;? |
| A. | 1 |
| B. | x |
| C. | y |
| Answer» C. y | |
| 4. |
In value 200x, variable is |
| A. | 10 |
| B. | 200 |
| C. | x |
| D. | 10(20) |
| Answer» D. 10(20) | |
| 5. |
If algebraic expression is [4(a + 2b - 3c) - 3(2b - 3c)] + 2a then answer will be |
| A. | 7a - 3b +4c |
| B. | 6a + 2b - 3c |
| C. | 8a + 3b - 4c |
| D. | 9a + 2b + 5c |
| Answer» C. 8a + 3b - 4c | |
| 6. |
If a = 3, b = 2, c = 4 and x = 5 then (2ab + 3ac) + (3ax - 4acx) (2abcx - 2x) + 3 is |
| A. | -2 |
| B. | -10 |
| C. | -5 |
| D. | -9 |
| Answer» B. -10 | |
| 7. |
By solving expression 4[3s - 2(6s - 8)], answer will be |
| A. | 12s -16 |
| B. | 16s - 12 |
| C. | 12s + 16 |
| D. | 16s + 12 |
| Answer» D. 16s + 12 | |
| 8. |
Factorization of p(4q + 3) +4(4q+3) leads to |
| A. | (p - 4)(4q - 3) |
| B. | 4pq + 12q |
| C. | (p + 4)(4q + 3) |
| D. | 4pq + 12 q |
| Answer» D. 4pq + 12 q | |
| 9. |
By factorizing 3x - 9xy - 12z, answer will be |
| A. | 3(x - 3y + 4z) |
| B. | 3(x + 3y + 4z) |
| C. | 3(x + 3y - 4z) |
| D. | 3(x - 3y - 4z) |
| Answer» E. | |
| 10. |
Algebraic form of product of 7y and 4z is |
| A. | 11yz |
| B. | 3yz |
| C. | 11y + z |
| D. | 28yz |
| Answer» E. | |
| 11. |
If a = 2, b = 4 and c =3 then 2ac[(2b + 3c)-c] is |
| A. | 11 |
| B. | 51 |
| C. | 132 |
| D. | 12 |
| Answer» D. 12 | |
| 12. |
If a = 20, b = 35 and c = 5 then (4a + b) / c is |
| A. | 23 |
| B. | 115 |
| C. | 53 |
| D. | 43 |
| Answer» B. 115 | |
| 13. |
Sum of 5x + 3y and 4x - 2y is |
| A. | 5x - 8y |
| B. | 9x + y |
| C. | 8x + 4y |
| D. | 6x + 5y |
| Answer» C. 8x + 4y | |
| 14. |
If t = 50, u = 25 and v = 16 then (2t + 3u)(2u - v) + 2(t -u) is |
| A. | 7000 |
| B. | 8000 |
| C. | 5950 |
| D. | 6000 |
| Answer» E. | |
| 15. |
Algebraic expression of word expression "subtract eight times of number b from ten times of number c" is |
| A. | 2bc |
| B. | 8b - 10c |
| C. | 8c - 10b |
| D. | 10c -8b |
| Answer» E. | |
| 16. |
On simplifying expression 10x + 8x, answer will be |
| A. | 8x |
| B. | 10x |
| C. | 18x |
| D. | 180x |
| Answer» D. 180x | |
| 17. |
By factorization of (17x - 34), answer must be |
| A. | x(17-2) |
| B. | x(17 + 2) |
| C. | 17(x - 2) |
| D. | 17(x + 2) |
| Answer» D. 17(x + 2) | |
| 18. |
Algebraic form of statement "sum of product of 2a and 2b and product of 12x and 2y" is |
| A. | 4ab + 24xy |
| B. | 24ab + 4xy |
| C. | 4ab + 12x + 2y |
| D. | 2a + 2b +24xy |
| Answer» B. 24ab + 4xy | |
| 19. |
Algebraic expression of sum of 10a and 15c can be written as |
| A. | 10a + 15c |
| B. | 25ac |
| C. | 15a + 10c |
| D. | 150ac |
| Answer» B. 25ac | |
| 20. |
If x = 5, y = 3 and z = 2 then xz (4y - 2z) is |
| A. | 10 |
| B. | 80 |
| C. | 8 |
| D. | 116 |
| Answer» C. 8 | |
| 21. |
By solving algebraic expression 2(3m -4n +5) -3(2m -3n +4), answer should be |
| A. | m + 2 |
| B. | n - 2 |
| C. | 3m + n - 3 |
| D. | n + 2 |
| Answer» C. 3m + n - 3 | |
| 22. |
On simplifying algebraic expression 2{4a + [-b -5(c + a -b)]}, answer will be |
| A. | 3b + 10c |
| B. | 7a - 3b + 11c |
| C. | 4a + 6b + 12c |
| D. | 2a + 8b - 10c |
| Answer» E. | |
| 23. |
On evaluating expression 10(x - 20y) + 100x, answer will be |
| A. | 100x + 240y |
| B. | 110x + 200y |
| C. | 200x - 110y |
| D. | 110x - 200y |
| Answer» E. | |
| 24. |
If x = +7 and y = -8 then x + 3y is |
| A. | -1 |
| B. | 17 |
| C. | -17 |
| D. | -15 |
| Answer» D. -15 | |
| 25. |
Answer of factorization of expression 8a(2x + 4y) - (2x + 4y) is |
| A. | (8a - 1)(2x + 4y) |
| B. | (8a - 1) + (2x + 4y) |
| C. | (8a - 1) - (2x + 4y) |
| D. | (8a + 1) - (2x - 4y) |
| Answer» B. (8a - 1) + (2x + 4y) | |
| 26. |
In 15y and 160ab, coefficients are |
| A. | ab |
| B. | ab, y |
| C. | 15y and ab |
| D. | 160, 15 |
| Answer» E. | |
| 27. |
Statement 7a divided by 8b can be expressed algebraically as |
| A. | 56a b |
| B. | 56ab |
| C. | 7a 8b |
| D. | 8b 7a |
| Answer» D. 8b 7a | |
| 28. |
Sum of 2a + 4b, 5a + 2c + 2d, -5a - 9b + 4c - d and 11b - 8c - 4d is |
| A. | 2a - 6b - 2c - 3d |
| B. | 2a + 6b - 2c - 3d |
| C. | 2a + 6b + 2c + 3d |
| D. | 2a - 6b + 2c - 3d |
| Answer» C. 2a + 6b + 2c + 3d | |
| 29. |
By factorizing algebraic expression 36ab - 48bc, answer must be |
| A. | 6b(6a + 8c) |
| B. | 8b(2a - 5c) |
| C. | 6b(6a - 8c) |
| D. | 7b(5a - 9c) |
| Answer» C. 6b(6a - 8c) | |
| 30. |
By factorizing 54x - 45y, answer must be |
| A. | 9(6x - 5y) |
| B. | 5(7x + 6y) |
| C. | 8(6x + 3y) |
| D. | 9(6x + 5y) |
| Answer» B. 5(7x + 6y) | |
| 31. |
If expression 4c + 2b + 4d is subtracted from 3c + 4b + 5d then answer will be |
| A. | c + d |
| B. | c + d |
| C. | 2c - 4d |
| D. | 3c + 2b - 5d |
| Answer» B. c + d | |
| 32. |
By factorizing algebraic expression mp - np + mq - nq, answer will be |
| A. | (p - q)(m + n) |
| B. | (p + q)(m - n) |
| C. | (2p + 4q)(m - n) |
| D. | (4p + q)(m - 3n) |
| Answer» C. (2p + 4q)(m - n) | |
| 33. |
If a = -12 and b = -14 then 2a + 2b + 3 is |
| A. | 26 |
| B. | 49 |
| C. | 49 |
| D. | 26 |
| Answer» C. 49 | |
| 34. |
If algebraic expression 2w - [x -(y + z)] + 2w is solved then answer will be |
| A. | 2w + 3x - y + 4z |
| B. | 5w - y + z |
| C. | 4w - x + y + z |
| D. | 2x + y +z |
| Answer» D. 2x + y +z | |
| 35. |
On solving expression 6a + 8b - 11a, answer will be |
| A. | 5a +8b |
| B. | 66a + 8b |
| C. | 80ab |
| D. | 3b |
| Answer» B. 66a + 8b | |
| 36. |
Algebraic expression of difference of 13x and 7y can be written as |
| A. | 6xy |
| B. | 13x - 7y |
| C. | 6x - y |
| D. | 91xy |
| Answer» C. 6x - y | |
| 37. |
Simplify a(c - b) - b(a - c) |
| A. | ac - 2ab - bc |
| B. | ac - 2ab + bc |
| C. | ac + 2ab + bc |
| D. | ac + bc |
| Answer» C. ac + 2ab + bc | |
| 38. |
Simplify 5 2 1 x |
| A. | 5x 2 |
| B. | 5 2x |
| C. | 2 5x |
| D. | 2x 5 |
| Answer» B. 5 2x | |
| 39. |
Simplify 15ax 2; 5x |
| A. | 3ax |
| B. | 3ax |
| C. | 5ax |
| D. | 5ax |
| Answer» C. 5ax | |
| 40. |
What is the product of (x+a) and (x+b)? |
| A. | x + (a-b)x + ab |
| B. | x + (a+b)x - ab |
| C. | x + (a+b)x - ab |
| D. | x + (a+b)x + ab |
| Answer» B. x + (a+b)x - ab | |
| 41. |
What degree does x 3; - x 2;y 2; - 8y 2;+ 2 have? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 7 |
| Answer» D. 7 | |
| 42. |
Which of the following is obtained by subtracting x 2;-y 2; from y 2; - x 2; ? |
| A. | -2(x -y ) |
| B. | -2(x + y ) |
| C. | 2(x + y ) |
| D. | 2(x - y ) |
| Answer» B. -2(x + y ) | |
| 43. |
Which of the following is the value of (x+ 1/x) 2;? |
| A. | x + 1/x |
| B. | x - 1/x |
| C. | x + 1/x + 2 |
| D. | x + 1/x + 2x |
| Answer» D. x + 1/x + 2x | |
| 44. |
Simplify (1 (x 2; - 1)) (1 (x + 1)) |
| A. | 1 (x - 1) |
| B. | 1 (x + 1) |
| C. | 1 (x - 1) |
| D. | None of the above |
| Answer» B. 1 (x + 1) | |
| 45. |
Simplify (3x 2y)(x 3y) |
| A. | x 2y |
| B. | (3x ) (2y ) |
| C. | x (6y ) |
| D. | x (2y ) |
| Answer» E. | |
| 46. |
Simplify (x - 9)(x + 10) (x 2; - 81) |
| A. | (x + x - 90) (x - 81) |
| B. | (x + 10) (x - 9) |
| C. | (x + 10) (x + 9) |
| D. | None of the above |
| Answer» D. None of the above | |
| 47. |
Factorise x 2; + x - 72 |
| A. | (x - 72)(x + 72) |
| B. | (x - 72) |
| C. | (x - 8)(x + 9) |
| D. | (x + 8)(x - 9) |
| Answer» D. (x + 8)(x - 9) | |
| 48. |
Factorise -20x 2; - 9x + 20 |
| A. | (5 + 4x)(4 - 5x) |
| B. | (5 - 4x)(4 - 5x) |
| C. | (5 - 4x)(4 + 5x) |
| D. | (5 + 4x)(4 + 5x) |
| Answer» B. (5 - 4x)(4 - 5x) | |
| 49. |
Expand and simplify (x + y) 3; |
| A. | x + 3xy(x - y) + y |
| B. | x + 3xy(x + y) + y |
| C. | x + y |
| D. | x - y |
| Answer» C. x + y | |
| 50. |
On evaluating algebraic expression -3(4s - 2t) - 4(2s + 3t), answer will be |
| A. | 20s - 6t |
| B. | 6s + 20t |
| C. | 21s - 7t |
| D. | 23s + 8t |
| Answer» B. 6s + 20t | |