Simplification Ques 34

Question-

$83^{27.3} \div 83^{1.4} \times 83^{46.8}=83^{31.9+}$ ?

(1) 64.1

(2) 41.9

(3) 40.8

(4) 39.1

(5) None of these

(IBPS RRBs Officer Assistant

CWE Exam, 09.09.2012)

Show Answer

Correct Answer: (3)

Solution: (3)

$(83)^{27.3} \div(83)^{1.4} \times(83)^{46.8}$ $=(83)^{31.9+\text { ? }}$

$\Rightarrow(83)^{27.3-1.4+46.8}=(83)^{31.9+\text { ? }}$

$\Rightarrow(83)^{72.7}=(83)^{31.9+}$ ?

$\Rightarrow$ ? $+31.9=72.7$

$\Rightarrow ?=72.7-31.9=40.8$