Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: · Marks: · Difficulty:
The value of $\sqrt{\frac{(0.03)^{2}+(0.21)^{2}+(0.065)^{2}}{(0.003)^{2}+(0.021)^{2}+(0.0065)^{2}}}$ is (S.S.C., 2002)
(a)0.1
(b)10
(c)$10^{2}$
(d)$10^{3}$
Answer
Answer (as printed): B
Explanation
Given exp. $$=\sqrt{\frac{(0.03)^{2}+(0.21)^{2}+(0.065)^{2}}{\left(\frac{0.03}{10}\right)^{2}+\left(\frac{0.21}{10}\right)^{2}+\left(\frac{0.065}{10}\right)^{2}}}=\sqrt{\frac{100\left[(0.03)^{2}+(0.21)^{2}+(0.065)^{2}\right]}{(0.03)^{2}+(0.21)^{2}+(0.065)^{2}}}=\sqrt{100}=10 .$$
Explanation as extracted from the printed page; notation may be imperfect.