Question

Four numbers are inserted between the numbers 4 and 39 such that an AP results. Which is the biggest of these four numbers?

• A. 30
• B. 31
• C. 32
• D. 33

Answer 1

The correct option is C

32

Since 4 terms are inserted between 4 and 39 so there are 6 terms in the AP.

Therefore, the terms of the AP ar given by: 4, 4 + d, 4 + 2d, 4 + 3d, 4 + 4d, 4+5d

$\Rightarrow 39=4+5d$,

$\Rightarrow d=7$,

So, as it is an increasing AP, therefore $4+4d$ would be the biggest.

$\Rightarrow 4+4d=4+4\times 7=4+28=32$