Question

90. If 2 x 2 = 3, 4 X 4 = 10 and 6 x 6 = 21, what is 8 x 8?
(A) 30 (B) 36 (C) 32 (D) 40
pls say answer for this one..and how to solve these types of sum...and concepts​

Answer 1

answer is:36

taking example 2x2=3

let us take 2 as X

step-1 divide X with 2...assume Y=(X/2)

step-2 multiply X with y (X x Y)

step-3 than add y to the product(X x Y)+Y

8/2=4

8x4=32

32+4=36

Answer 2

8 x 8 = 36

Given :

2 x 2 = 3, 4 x 4 = 10 and 6 x 6 = 21

To find :

The value of 8 x 8 is

(A) 30

(B) 36

(C) 32

(D) 40

Solution :

Step 1 of 2 :

Find the pattern

Here it is given that ,

2 x 2 = 3, 4 x 4 = 10 and 6 x 6 = 21

We have ,

$\displaystyle \sf 2 \: x \: 2 = \frac{2 \times (2 + 1)}{2} = \frac{2 \times 3}{2} = 3$

$\displaystyle \sf 4 \: x \: 4= \frac{4 \times (4 + 1)}{2} = \frac{4 \times 5}{2} = 10$

$\displaystyle \sf 6 \: x \: 6= \frac{6 \times (6 + 1)}{2} = \frac{6 \times 7}{2} = 21$

Thus , for any given number N we get

$\displaystyle \sf N \: x \: N = \frac{N \times (N + 1)}{2}$

Step 2 of 2 :

Choose the correct option

We have to find the value of 8 x 8

Taking N = 8 we get

$\displaystyle \sf 8 \: x \: 8= \frac{8 \times (8 + 1)}{2} = \frac{8 \times 9}{2} = \frac{72}{2} = 36$

Thus we get , 8 x 8 = 36

Hence the correct option is (B) 36

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