Question

Logical Reasoning Question

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Answer 1

Reasoning and Logic

Question :

Solve and find the missing number:

8 = 72

2 = 6

5 = 30

9 = ?

Answer:

We must look at the numbers on the left hand side and identify their relation with the numbers on the right hand side.

We observe a pattern:

$\sf 72 = \bold{8} \times 9 = 8 \times (8+1) \\\\ 6 = \bold{2} \times 3 = 2 \times (2+1) \\\\ 30 = \bold{5} \times 6 = 5 \times (5+1)$

The number on the right side is obtained by multiplying the number on the left side by its successive natural number.

Hence, in general:

Let Number on left side = $l$

Number on right side = $r$

Then,

$l \times (l+1) = r$

$\rule{300}{1}$

Thus, the missing number will be:

$Ans = 9 \times (9+1) = 9 \times 10 = 90$

Hence, The Missing Number is 90.

Answer 2

8^2+8=72

2^2+2=6

5^2+5=30

9^2+9=90