The common factor of 36 p^ 2 q^ 3 x^ 4 , 48 pq^ 3 x^ 2 and 54 p^ 3 q^ 3 x^ 4 is

The common factor of 36 p^ 2 q^ 3 x^ 4 , 48 pq^ 3 x^ 2 and 54 p^ …

MCQ

The common factor of $36 \mathrm{p}^{2} \mathrm{q}^{3} \mathrm{x}^{4}, 48 \mathrm{pq}^{3} \mathrm{x}^{2}$ and $54 \mathrm{p}^{3} \mathrm{q}^{3} \mathrm{x}^{4}$ is

✓
$6 \mathrm{pq}^{3} \mathrm{x}^{2}$
B
$36 p q^{3} x^{2}$
C
$54 \mathrm{pq}^{3} \mathrm{x}^{2}$
D
$48 p q^{3} x^{2}$

✓

Answer

Correct option: A.

$6 \mathrm{pq}^{3} \mathrm{x}^{2}$

a
$36 p^{2} q^{3} x^{4}=2 \times 2 \times 3 \times 3 \times p \times p \times q \times q \times q \times x \times x \times x \times x$
$48 p q^{3} x^{2}=2 \times 2 \times 2 \times 2 \times 3 \times p \times q \times q \times q \times x \times x$
$p^{3} q^{3} x^{4}=p \times p \times p \times q \times q \times q \times x \times x \times x \times x$

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