Question

2,6=156 9,7=420 6,8=?
Options are
a)250 b)240 c)196 d)225​
Somewhere is answer 240 but can anyone explain me?​

Answer 1

Given:

2, 6 = 156.

9, 7 = 420.

To Prove:

6 , 8 = ?

Solution:

In the given question two series is defined, which values are:  

2,6=156 .....(1)

9,7=420 .....(2)

Solve the above given series:

$\ Solve \ equation \ 1: \\\\ \Rightarrow (2, 6) = 156 \\\\ \Rightarrow (2^2 \times \ 6^2)\ + \ 2 \times 6 \ =156 \\\\\Rightarrow (4 \times 36) + 12 \\\\\Rightarrow 144 + 12 \\\\\Rightarrow 156$

$\ Solve \ Equation \ 2: \\\\ \Rightarrow \ 9, 7= 420 \\\\\Rightarrow (9^1 \times 7^2) -3\times7\\\\\Rightarrow (441) -21\\\\\Rightarrow 420$

$\ Solve \ Equation \ 3: \\\\\Rightarrow 6, 8= ?\\\\\Rightarrow (6^0 \times 8^2) \ + 4 \times 8 \\\\\Rightarrow (1 \times 64) \ + 32 \\\\\Rightarrow (64) \ + 32\\\\ \Rightarrow 96$

The pattern which equation follow are:   +,-,+.... & ^2,^1,^0

In this question all the given option were wrong, that's why the final answer of 6, 8 is =96.