Question

Match Column I with Column II

Column I		Column II
I	Square root of 1354.24 is	P	12.3
II	Square root of 151.29 is	Q	1.7
III	Cube root of 4.913 is	R	36.8
IV	Cube root of 0.003375 is	S	0.15

• A. I—Q; II—R; III—S; IV—P
• B. I—R; II—P; III—S; IV—Q
• C. I—P; II—Q; III—S; IV—R
• D. I—R; II—P; III—Q; IV—S

Answer 1

Answer: (A)

(I)$\sqrt{1354.24} =\sqrt{135424 \times 10^{-2}} $
$ =\sqrt{135424} \times 10^{-1} $
$ =\sqrt{2^8 \times 23^2} \times 10^{-1} $
$ =\frac{2^4 \times 23}{10} $
$ =\frac{16 \times 23}{10}=36.8$...(R)
(II)$\sqrt{151.29} =\sqrt{15129 \times 10^{-2}} $
$ =\sqrt{15129} \times 10^{-1}$
$ =\sqrt{3^2 \times 41^2} \times 10^{-1} $
$ =\frac{3 \times 41}{10}$
$ =12.3$...(P)
(III)$\sqrt[3]{4.913} =\sqrt[3]{4913} \times 10^{-3}$
$ =\sqrt[3]{4913} \times 10^{-1}$
$ =\sqrt[3]{17^3} \times 10^{-1}$
$ =\frac{17}{10}$
$ =1.7$...(Q)
(IV) $\sqrt[3]{0.003375} =\sqrt[3]{3375 \times 10^{-6}} $
$ =\sqrt[3]{3375} \times 10^{-2}$
$=\left(\sqrt[3]{3^3 \times 5^3}\right) \times 10^{-2} $
$ =(3 \times 5) \times 10^{-2}$
$ =0.15$...(S)