Question

Four numbers are inserted between the numbers 4 and 39 such that an AP. results. Find"the biggest of these four numbers.

• A. 33
• B. 31
• C. 32
• D. 30

Answer 1

The correct option is C 32

When $n$ numbers are inserted between two numbers $a$ and $b$, then the common difference $d$ is given by $d=\frac{b-a}{n+1}$

Here,$b=39$ ,$n=4$ and $a=4$

$\Rightarrow$ $d=\frac{39-4}{4+1}$

$\Rightarrow$ $d=7$

Therefore the inserted numbers are $11,18,25,32$

The largest of them is 32.

Therefore, Option C is correct.