Question

In the following question, three statements of numbers following the some rule are given. Find the rule and accordingly find the value of the number.

If 43 = 158; 35 = 824; 42 = 153; then 32 = ?

• A. 84
• B. 83
• C. 85
• D. 94

Answer 1

The correct option is B 83

The rule is : $ab=(a^2-1)(b^2-1)$
$43=(4^2-1)(3^2-1)=158;$
$35=(3^2-1)(5^2-1)=824$
$42=(4^2-1)(2^2-1)=153$
$\therefore 32=(3^2-1)(2^2-1)=83$