(0.55)^2 + (0.07)^2 + (0.027)^2 / (0.055)^2 + (0.007)^2 + (0.0027)^2 = (1) 100 (2) 10 (3) 1 (4) 1000

Question

\(\frac{(0.55)^2 + (0.07)^2 + (0.027)^2}{(0.055)^2 + (0.007)^2 + (0.0027)^2}=\)

(1) 100

(2) 10

(3) 1

(4) 1000

Answer 1

Correct option is: (1) 100

\(\frac{(0.55)^2 + (0.07)^2 + (0.027)^2}{(0.055)^2 + (0.007)^2 + (0.0027)^2}\)

\(=\frac{(10 \times 0.055)^2 + (10 \times 0.007)^2 + (10 \times 0.0027)^2}{(0.055)^2 + (0.007)^2 + (0.0027)^2}\)

\(= \frac{(10)^2 [(0.055)^2+ (0.007)^2 + (0.0027)^2]}{[(0.055)^2 + (0.007)^2 + (0.0027)^2]}\)

\(= (10)^2\)

= 100