NTC Numeracy Past Question And Answer 2023 (Factorization)

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NTC NUMERACY PAST QUESTION NUMBER 5(Percentages, Decimals and Fractions)

NTC Numeracy Past Question And Answer 2023 (Factorization)

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1. The factorisation of 12a2b+15ab2 gives:
A. 3ab(4ab+5)
B. 3ab(4a+5b)
C. 3a(4a+5b)
D. 3b(4a + 5b)
Answer: B

2. The factorisation of 12x+36 is
A. 12(x+3)
B. 12(3x)
C. 12(3x+1)
D. x(12+36x)
Answer: A

3. On factorising 14pq + 35pqr, we get:
A. pq(14+35r)
B. p(14q+35qr)
C. q(14p+35pr)
D. 7pq(2+5r)
Answer: D

4. The factors of 6xy – 4y + 6 – 9x are:
A. (3x + 2) (2y + 3)
B. (3x – 2) (2y – 3)
C. (3x – 2) (2y + 3)
D. (3x –+2) (2y – 3)
Answer: B

5. The factors of x2+xy+8x+8y are:
A. (x+y) (x+8)
B. (2x+y) (x+8)
C. (x+2y) (x+8)
D. (x+y) (2x+8)
Answer: A

6. The factors of 4y2 – 12y + 9 is:
A. (2y+3)2
B. (2y-3)2
C. (2y-3)(2y+3)
D. None of the above
Answer: B

7. The factors of 49p2 – 36 are:
A. (7p+6)2
B. (7p-6)2
C. (7p – 6 ) ( 7p + 6)
D. None of the above

Answer: C

8. The factors of m2 – 256 are:
A. (m + 4)2
B. (m – 4)2
C. (m – 4) (m+4)
D. None of the above
Answer: D

9. When we factorise x2+5x+6, then we get:
A. (x +2) (x + 3)
B. (x – 2) (x – 3)
C. (x × 2) + (x × 3)
D. (x × 2) – (x × 3)
Answer: A

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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10. The factors of 3m2 + 9m + 6 are:
A. (m + 1) (m + 2)
B. 3(m + 1) (m + 2)
C. 6(m + 1) (m + 2)
D. 9(m + 1) (m + 2)
Answer: B

11. The common factor of a3b3 and ab2 is:
A. a2b2
B. ab2
C. a2b
D. ab
Answer: B. ab2

12. The common factor of a3b2 and a4b is:
A. a4b2
B. a4b
C. a3b2
D. a3b
Answer: D. a3b

13. The common factor 12a and 30 is:
A.6
B. 12
C. 30
D. 6a
Answer: A. 6

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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14. The common factors of 10a, 20b and 30c are:
A. ab
B. ac
C. 10abc
D. 10
Answer: 10

15. The common factor of 6x3y4z2, 21x2y and 15×3 is:
A. 3×2
B. 3×3
C. 6×3
D. 6×2
Answer: A. 3×2

16. The common factor of 24a3b4, 36a4c4 and 48a3b2c is:
A. 12a3
B. 24a3
C. 36a3
D. 48a3

17. The factorisation of 12x2y + 15xy2 is:
A. 3xy2 (4x + 5y)
B. 3x2y (4x + 5y)
C. 3xy (4x + 5y)
D. 3x2y2 (4x + 5x)
Answer: C. 3xy (4x + 5y)

18. The factorisation of 5x – 20 is:
A. 5(x-5)
B. 5(x-4)
C. 5(x-3)
D. 5(x-20)
Answer: B. 5(x-4)

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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19. The factorisation of 8x + 4y is:
A. 8(x+4y)
B. 4(2x+4y)
C. 8(x+y)
D. 4(2x+y)
Answer: D. 4(2x + y)

20. The factors of xyz are:
A. x
B. y
C. z
D. All of the above
Answer: D.

1. The common factor of x²y² and x³y³ is
(a) x²y²
(b) x³y³
(c) x²y³
(d) x³y².
Answer: (a) x²y²

2. The common factor of x3y2 and x4y is
(a) x43y2
(b) x4y
(c) x3y2
(d) x3y.
Answer: (d) x3y.

3. The common factor of a2 m4 and a4m2 is
(a) a4m4
(b) a2m2
(c) a2m4
(d) a4m2
Answer: (b) a2m2

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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4. The common factor of p3q4 and p4q3 is
(a) p4q4
(b) p4q3
(c) p3q3
(d) p3q4
Answer: (c) p3q3

5. The common factor 12y and 30 is
(a) 6
(b) 12
(c) 30
(d) 6y.
Answer: (a) 6

6. The common factor of 2x, 3×3, 4 is
(a) 1
(b) 2
(c) 3
(d) 4.
Answer: (a) 1

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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7. The common factor of 10ab, 30bc, 50ca is
(a) 10
(b) 30
(c) 50
(d) abc.
Answer: (a) 10

8. The common factor of 14a2b and 35a4b² is
(a) a4b²
(b) 35a4b²
(c) 14a²b
(d) 7a²b.
Answer: (d) 7a²b.

9. The common factor of 8a2b4c2, 12a4bc4 and 20a3b4 is
(a) a4b4
(b) a2b2
(c) 4a2b2
(d) 4a2b.
Answer: (d) 4a2b.

10. The common factor of 6a3b4c2, 21a2b and 15a3 is
(a) 3a2
(b) 3a3
(c) 6a3
(d) 6a2
Answer: (a) 3a2

11. The common factor of 2a2b4c2, 8a4b3c4 and 6a3b4c2 is
(a) 2a2b3c2
(b) 6a2b3c2
(c) 8a2b3c2
(d) a4b4c4.
Answer: (a) 2a2b3c2

12. The common factor of 3a2b4c2, 12b2c4 and 15a3b4c4 is
(a) b4c4
(b) 3b2c2
(c) 15b2c4
(d) 12b2c4
Answer: (b) 3b2c2

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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13.The common factor of 24x3y4, 36x4z4 and 48x3y2z is
(a) 12×3
(b) 24×3
(c) 36×3
(d)48×3
Answer: (a) 12×3

14.The common factor of 72x3y4z4, 120z2d4x4 and 96y3z4d4 is
(a) 96z3
(b) 120z3
(c) 72z3
(d) 24z2.
Answer: (d) 24z2

15. The common factor of 36p2q3x4, 48pq3x2 and 54p3q3x4 is
(a) 6pq3x2
(b) 36pq3x2
(c) 54pq3x2
(d) 48pq3x2
Answer: (a) 6pq3x2

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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16. The factorisation of 12a2b + 15ab2 is
(a) 3ab (4a + 5b)
(b) 3a2b (4a + 5b)
(c) 3ab2 (4a + 5b)
(d) 3a2b2 (4a + 5b).
Answer: (a) 3ab (4a + 5b)

17. The factorisation of 10×2 – 18×3 + 14×4 is
(a) 2×2 (7×2 – 9x + 5)
(b) 2x (7×2 – 9x + 5)
(c) 2 (7×2 – 9x + 5)
(d) 2×3 (7×2 – 9x + 5).
Answer: (a) 2×2 (7×2 – 9x + 5)

18. The factorisation of 6x – 42 is
(a) 6(x – 7)
(b) 3(x – 7)
(c) 2(x – 7)
(d) 6(x + 7)
Answer: (a) 6(x – 7)

19. The factorisation of 6x + 12y is
(a) 6(x + 2y)
(b) 3(x + 4y)
(c) 2(3x + 12y)
(d) none of these.
Answer: (a) 6(x + 2y)

20. The factorisation of 28a3b5 – 42a5b3 is
(а) 14a3b3(2b2 – 3a2)
(b) 14a2b3(2b2 – 3a2)
(c) 14a3b2(2b2 – 3a2)
(d) none of these.
Answer: (а) 14a3b3(2b2 – 3a2)

21. The factorisation of a3 + a2b + ab2 is
(a) a(a2 + ab + b2)
(b) 6(a2 + ab + b2)
(c) ab(a2 + ab + b2)
(d) none of these.
Answer: (a) a(a2 + ab + b2)

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22. The factorisation of x2yz + xy2z + xyz2 is
(a) xyz(x + y + z)
(b) x2yz(x + y + z)
(c) xy2z(x + y + z)
(d) xyz2(x + y + z).
Answer: (a) xyz(x + y + z)

23. The factorisation of ax2y + bxy2 + cxyz is
(a) xy(ax + by + cz)
(b) axy(ax + by + cz)
(c) bxy(ax + by + cz)
(d) cxy(ax + by + cz).
Answer: (a) xy(ax + by + cz)

24. The factorisation of
a (x + y + z) + b(x + y + z) + c(x + y + z) is
(a) (a + b + c)(x + y + z)
(b) (ab + bc + ca)(x + y + z)
(c) (xy + yz + zx)(a + b + c)
(d) none of these.
Answer: (a) (a + b + c)(x + y + z)

NTC Numeracy Past Question And Answer 2023 (Set Of Numbers) 3

NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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25. The factorisation of 6xy – 4y + 6 – 9x is
(a) (3x – 2)(2y – 3)
(b) (3x + 2)(2y – 3)
(c) (3x – 2)(2y + 3)
(d) (3x + 2)(2y + 3).
Answer: (a) (3x – 2)(2y – 3)

26. The factorisation of x2 + xy + 2x + 2y is
(a) (x + 2)(x + y)
(b) (x + 2)(x – y)
(c) (x – 2)(x + y)
(d) (x – 2)(x – y).
Answer: (a) (x + 2)(x + y)

27. The factorisation of ax + bx – ay – by is
(a) (x – y)(a + b)
(b) (x + y)(a + b)
(c) (x – y)(a – b)
(d) (x + y)(a – b).
Answer: (a) (x – y)(a + b)

28. The factorisation of ab – a – b + 1 is
(a) (a – 1)(b – 1)
(b) (a + 1)(b + 1)
(c) (a – 1)(b + 1)
(d) (a + 1)(b – 1).
Answer: (a) (a – 1)(b – 1)

29. The factorisation of
x2 + x + xy + y + zx + z is
(a) (x + y + z)(x + 1)
(b) (x + y + z)(x + y)
(c) (x + y + z)(y + z)
(d) (x + y + z)(z + x).
Answer: (a) (x + y + z)(x + 1)

30. The factorisation of x2y2 + xy + xy2z + yz + x2yz + xz is
(a) (xy + yz + zx)(xy + 1)
(b) (xy + yz + zx)(yz + 1)
(c) (xy + yz + zx)(zx + 1)
(d) none of these.
Answer: (a) (xy + yz + zx)(xy + 1)

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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31. The factorisation of x2 + 8x + 16 is
(a) (x + 2)2
(b) (x + 4)2
(c) (x – 2)2
(d) (x – A)2
Answer: (b) (x + 4)2

32. The factorisation of 4y2 – 12y + 9 is
(a) (2y + 3)2
(b) (2y – 3)2
(c) (3y + 2)2
(d) (3y – 2)2
Answer: (b) (2y – 3)2

33. The factorisation of 49p2 – 36 is
(a) (7p + 6)(7p – 6)
(b) (6p + 7)(6p – 7)
(c) (7p + 6)2
(d) (7p – 6)2
Answer: (a) (7p + 6)(7p – 6)

34. The factorisation of y2 – 7y + 12 is
(a) (y + 3)(y + 4)
(b) (y + 3)(y – 4)
(c) (y – 3)(y + 4)
(d) (y – 3)(y – 4).
Answer: (d) (y – 3)(y – 4)

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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35. The factorisation of z2 – 4z – 12 is
(a) (z + 6)(z + 2)
(b) (z – 6)(z – 2)
(c) (z – 6)(z + 2)
(d) (z + 6)(z – 2).
Answer: (c) (z – 6)(z + 2)

36. The factorisation of am2 + bm2 + bn2 + an2 is
(a) (a + b)(m2 – n2)
(b) (a + b)(m2 + n2)
(c) (a – b)(m2 + n2)
(d) (a – b)(m2 – n2).
Answer: (b) (a + b)(m2 + n2)

37. The factorisation of (lm + l) + m + 1 is
(a) (l + 1)(m + 1)
(6) (l – 1)(m – 1)
(c) (l + 1)(m – 1)
(d) (l – 1)(m + 1).
Answer: (a) (l + 1)(m + 1)

38. The factorisation of (l + m)2 – 4lm is
(a) (l – m)2
(b) (l + m – 2)2
(c) (l + m + 2)2
(d) none of these.
Answer: (a) (l – m)2

39. The factorisation of
1 + p + q + r + pq + qr + pr + pqr is
(a) (1 + p)(1 + q)(1 + r)
(b) (1 – p)(1 – q)(1 – r)
(c) (1 – p)(1 – q)(1 + r)
(d) (1 + p)(1 – q)(1 – r).
Answer: (a) (1 + p)(1 + q)(1 + r)

40. 0.645 × 0.645 + 2 × 0.645 × 0.355 + 0.355 × 0.355 is
(a) 1
(b) 0
(c) -1
(d) 2.
Answer: (a) 1

41. The factorisation 1 + 16x + 64x² is
(a) (1 – 8x)2
(b) (1 + 8x)2
(c) (8 – x)2
(d) (8 + x)2
Answer: (b) (1 + 8x)2

Question 42.
The factorisation x2 + x + 14 is
(a) (x2 – 1)²
(b) (x2 + 1)²
(c) (x + 12)²
(d) (x – 12)²
Answer: (c) (x + 12)²

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NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

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42. The value of 992 is
(a) (90)2 + 2(90)(9) + (9)2
(b) (90)2 – 2(90)(9) + (9)2
(c) (90)2 + (9)2
(d) none of these.
Answer: (a) (90)2 + 2(90)(9) + (9)2

43. The value of 492 is
(a) (50)2 – 2(50)(1) + (1)2
(b) (50)2 + 2 (50) (1) + (1)2
(c) (50)2 – (1)2
(d) (50)2 + (1)2
Answer: (a) (50)2 – 2(50)(1) + (1)2

44. The factorisation of (x2y2 -2+y2x2) x ≠ 0, y ≠ 0 is
(a) (xy+yx)2
(b) (xy–yx)2
(c) (xy-1)2
(d) (xy+1)2
Answer: (b) (xy–yx)2

45. The value of 0.73×0.73×−0.27×0.270.73−0.27 is
(a) 1
(b) 0
(c) 0.73
(d) 0.27.
Answer: (a) 1

46. The factorisation of x2 – 9 is
(a) (x – 3)2
(b) (x + 3)2
(c) (x + 3)(x – 3)
(d) none of these.
Answer: (c) (x + 3)(x – 3)

47. The factorisation of 36x2y2 – 1 is
(a) (6xy – 1)(6xy + 1)
(b) (6xy – 1)2
(c) (6xy + 1)2
(d) (6 + xy)2
Answer: (a) (6xy – 1)(6xy + 1)

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48. The value of 0.564×0.564×−0.436×0.4360.564−0.436 is
(a) 0
(b) 1
(c) -1
(d) none of these.
Answer: (b) 1

49. The value of (0.68)2 – (0.32)2 is
(a) -1
(b) 0
(c) 1
(d) 0.36.
Answer: (d) 0.36.

50. The factorisation of 3x² + 10x + 8 is
(a) (3x + 4)(x + 2)
(b) (3x – 4)(x – 2)
(c) (3x + 4)(x – 2)
(d) (3x – 4)(x + 2).
Answer: (a) (3x + 4)(x + 2)

51. The factorisation of 3×2 – 16x + 16 is
(a) (x – 4)(3x – 4)
(b) (x + 4)(3x + 4)
(c) (x – 4)(3x + 4)
(d) (x + 4)(3x – 4).
Answer: (a) (x – 4)(3x – 4)

52. The factorisation of 6×2 – 5x – 6 is
(a) (2x – 3)(3x + 2)
(b) (2x + 3)(3x + 2)
(c) (2x – 3)(3x – 2)
(d) (2x + 3)(3x – 2).
Answer: (a) (2x – 3)(3x + 2)

53. The factorisation of 6 – x – 2×2 is
(a) (2 + x)(3 – 2x)
(b) (2 + x)(3 + 2x)
(c) (2 – x)(3 – 2x)
(d) (2 – x)(3 + 2x).
Answer: (a) (2 + x)(3 – 2x)

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54. If x2 – x – 42 = (x + k)(x + 6), then k =
(a) 6
(b) -6
(c) 7
(d) -7.
Answer: (d) -7

55. The value of 3.5 × 3.5 – 2.5 × 2.5 is
(a) -6
(b) 6
(c) 60
(d) 1.
Answer: (b) 6

56. If (x – 1x)² = x² + a + 1×2 then a =
(a) -2
(b) 2
(c) 2x
(d) -2x
Answer: (a) -2

57. If x = 2, y = -1 then the value of x² -+ 4xy + 4y² is
(a) 0
(b) 1
(c) -1
(d) 2
Answer: (a) 0

58. The quotient of 28x² + 14x is
(a) 2
(b) 2x
(c) x
(d) x²
Answer: (b) 2x

59. The quotient of 12a8b8 + (- a6b6) is
(a) 3a2b2
(6) 3a2b
(c) 3ab2
(d) -3a2b2
Answer: (d) -3a2b2

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NTC NUMERACY PAST QUESTION NUMBER 5(Percentages, Decimals and Fractions)

NTC Numeracy Past Question And Answer 2023 (Factorization)

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60. The factorisation of 12a2b +15ab2 gives:
(a) 3ab(4ab + 5)
(b) 3ab(4a + 5(b)
(c) 3a(4a + 5(b)
(d) 3b(4a + 5(b)
Answer: (b) 3ab(4a + 5(b)

61. The factorisation of 12x + 36 is
(a) 12(x + 3)
(b) 12(3x)
(c) 12(3x + 1)
(d) x(12 + 36x)
Answer: (a) 12(x + 3)

62. On factorising 14pq + 35pqr, we get:
(a) pq(14 + 35r)
(b) p(14q + 35qr)
(c) q(14p + 35pr)
(d) 7pq(2 + 5r)
Answer: (d) 7pq(2 + 5r)

63. The factors of 6xy – 4y + 6 – 9x are:
(a) (3x + 2) (2y + 3)
(b) (3x – 2) (2y – 3)
(c) (3x – 2) (2y + 3)
(d) (3x + 2) (2y – 3)
Answer: (b) (3x – 2) (2y – 3)

64. The factors of x2 + xy + 8x + 8y are:
(a) (x +y) (x + 8)
(b) (2x + y) (x + 8)
(c) (x + 2y) (x + 8)
(d) (x + y) (2x + 8)
Answer: (a) (x +y) (x + 8)

NTC Numeracy Past Question And Answer 2023 (Set Of Numbers) 3

NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

NTC Professional General Knowledge Past Questions and Answers (NUMERACY 2)

NTC Professional General Knowledge Past Questions and Answers (NUMERACY)

NTC NUMERACY PAST QUESTION NUMBER 5(Percentages, Decimals and Fractions)

NTC Numeracy Past Question And Answer 2023 (Factorization)

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65. The factors of 4y2 – 12y + 9 is:
(a) (2y + 3)2
(b) (2y – 3)2
(c) (2y – 3)(2y + 3)
(d) None of the above
Answer: (b) (2y-3)2

66. The factors of 49p2 – 36 are:
(a) (7p + 6)2
(b) (7p – 6)2
(c) (7p – 6 ) ( 7p + 6)
(d) None of the above
Answer: (c) (7p – 6 ) ( 7p + 6)

67. The factors of m2 – 256 are:
(a) (m + 4)2
(b) (m – 4)2
(c) (m – 4) (m+4)
(d) None of the above
Answer: (d) None of the above

68. When we factorise x2 + 5x + 6, then we get:
(a) (x + 2) (x + 3)
(b) (x – 2) (x – 3)
(c) (x × 2) + (x × 3)
(d) (x × 2) – (x × 3)
Answer: (a) (x + 2) (x + 3)

69. The factors of 3m2 + 9m + 6 are:
(a) (m + 1) (m + 2)
(b) 3(m + 1) (m + 2)
(c) 6(m + 1) (m + 2)
(d) 9(m + 1) (m + 2)
Answer: (b) 3(m + 1) (m + 2)

NTC Numeracy Past Question And Answer 2023 (Set Of Numbers) 3

NTC Numeracy Past Question And Answer 2023 (Set Of Numbers)

NTC Professional General Knowledge Past Questions and Answers (NUMERACY 2)

NTC Professional General Knowledge Past Questions and Answers (NUMERACY)

NTC NUMERACY PAST QUESTION NUMBER 5(Percentages, Decimals and Fractions)