Find the common factor of 10PQ- 20QR-and-30RP-5105P5Q

The correct option is B 1010PQ = 2× 5× P× Q 20QR = 2× 2× 5× Q× R 30RP = 2× 3× 5× R× P So, the common factor =2× 5=10 nbsp; Hence, the common factor is 10. ...

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Standard VIII

Mathematics

Factorization by Taking Common Factor

Find the comm...

Question

Find the common factor of $10 P Q, 20 Q R and 30 R P .$

5

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10

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5 P

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5 Q

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Solution

The correct option is B $10$
$10 P Q = 2 \times 5 \times P \times Q$
$20 Q R = 2 \times 2 \times 5 \times Q \times R$
$30 R P = 2 \times 3 \times 5 \times R \times P$
So, the common factor $= 2 \times 5 = 10$
Hence, the common factor is 10.

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Similar questions

Q. Find the common factors of the given terms.
(i)

12 x, 36

(ii)

2 y, 22 x y

(iii)

14 p q, 28 p^{2} q^{2}

(iv)

2 x, 3 x^{2}, 4

(v)

6 a b c, 24 a b^{2}, 12 a^{2} b

(vi)

16 x^{3}, - 4 x^{2}, 32 x

(vii)

10 p q, 20 q r, 30 r p

(viii)

3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z

Find the common factors of the terms

(i) $12 x, 36$

(ii) $2 y, 22 x y$

(iii) $14 p q, 28 p^{2} q^{2}$

(iv) $2 x, 3 x^{2}, 4$

(v) $6 a b c, 24 a b^{2}, 12 a^{2} b$

(vi) $16 x^{3}, - 4 x^{2}, 32 x$

(vii) $10 p q, 20 q r, 30 r p$

(viii) $3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z$

Q. Question 1(vii)
Find the common factors of the terms
10pq,20pr,30rp

Q. Find the common factor of

10 P Q, 20 Q R and 30 R P .

Q. Find the number of common factors of

10 p q

20 q r

, and

30 r p

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Find the common factor of 10PQ,20QR and 30RP.

The correct option is B 1010PQ=2×5×P×Q 20QR=2×2×5×Q×R 30RP=2×3×5×R×P So, the common factor =2×5=10 Hence, the common factor is 10.

Find the common factor of $10 P Q, 20 Q R and 30 R P .$

The correct option is B $10$
$10 P Q = 2 \times 5 \times P \times Q$
$20 Q R = 2 \times 2 \times 5 \times Q \times R$
$30 R P = 2 \times 3 \times 5 \times R \times P$
So, the common factor $= 2 \times 5 = 10$
Hence, the common factor is 10.