Question

Find the missing number:

$101,100,?,87,71,46$

• A. $92$
• B. $88$
• C. $89$
• D. $96$

Answer 1

The correct option is D $96$

This series follows a pattern,

Second term $=$ 1st term $-1^2=100,$

Third term $=$ 2nd term $-2^2=100-4=96,$

Fourth term $=$ 3rd term $-3^2=96-9=87,$

Fifth term $=$ 4th term $-4^2=87-16=71,$

Sixth term $=$ 5th term $-5^2=71-25=46.$

Thus, 96 replaces question mark.