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)