(5.42 x 6 + 5.42 x 24) / (32.71 x 32.71 - 27.29 x 27.29) ÷ (6.54 x 6.54 - 3.46 x 3.46) / (3.08 x 5 + 3.08 x 45) is equal to

Question

\(\frac{5.42\times6+5.42\times24}{32.71\times32.71 - 27.29\times24.29}÷\frac{6.54\times6.54 - 3.46\times3.46}{3.08\times5+3.08\times45}\) is equal to

(a) 0.3 

(b) 0.4 

(c) 0.7 

(d) 2.5

Answer 1

(d) 2.5

Given exp.
 = \(\frac{5.42+(6+24)}{(32.71)^2- (27.29)^2}÷\frac{(6.54)^2 - (3.46)^2}{3.08 \times(5+45)}\)

= \(\frac{5.42\times30}{(32.71+27.29)(32.71-27.29)}÷\frac{(6.54+3.46)(6.54-3.46)}{3.08\times50}\)

= \(\frac{5.42\times30}{60\times5.42}÷\frac{10\times3.08}{3.08\times50}\)

= \(\frac12÷\frac15=\frac52\) = 2.5.