Page 47 - Concepts of Reasoning-8

Worksheet-7.4

Miscellaneous

1. Match the following expressions with their factors :
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a. 12x y – 18xy i. (5x – 4) ( 2x – 1)
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b. 4x + 2xy – 2ax – ay ii. 6xy (2x – 3y)
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c. 36x – 169 iii. (2x + y) (2x – a)
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d. 10x – 13x + 4 iv. (6x + 13) (6x – 13)

2. State whether the following statements are true or false :
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a. The factors of (10p – 30p) are 10p and (p – 3).
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b. The factors of 20ac + 10ak + 30bc + 15bk are (10a + 5k ) and (2a + 3b).
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c. The factors of 25x + 140xy + 196y are (5x – 14y) .
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d. The factors of 6x + 14x + 4 are (6x + 2) (x – 2).
3. Choose the correct answer for each of the following :
a. The factors of 14p – 21q + 28r are
i. 7 (2p – 3q + 4r) ii. 2 (7p – 11q + 14r)
iii. 3 (4p – 7q + 9r) iv. 7 (2q – 3p + 4r)
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b. The factors of 4x + 5yz – 5xy – 4xz are
i. (4x – z) ( x – z) ii. (4x – 5y) (x – z)

iii. (4x + 5y) (x – z) iv. (4x – 5y) (x + z)
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c. The factors of 16x – 64x + 64 are
i. (4x + 8) ( 4x – 8) ii. (4x + 8) 2

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iii. (4x – 8) iv. (4x + 4) (8x – 8)
d. The factors of 64x – 196 are
i. (14x – 8) (14x + 8) ii. (14 – 8) (14 + 8)

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iii. ( 8x – 14) iv. (8x + 14) (8x – 14)
4. Manya made mistakes while factorizing the following expressions. Identify the mistakes and
correct them :

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a. 6p – 18p = 2(3p – 9p)
b. 16xy – 32x – 20y + 40 = 16xy – 20y – 32x + 40 = 4y (4x – 5) – 8x ( 4x + 5) = (4y – 8x) (4x – 5)

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c. 144x – 169y = (12y) – (13x) = (12y + 13x) (12y – 13x)
47 Reasoning - 8