Question

i) 18:81 :: 32:?
ii) 16, 19, 26, 38, 56?
iii) 15:216 :: 12:?​

Answer 1

Answer:

i ) 144

ii)

$iii) \: \frac{864}{5}$

Step-by-step explanation:

refer the attachment

Answer 2

Answer:

Concept:

There are two categories of questions in the number analogy section:

I. Based on the relationship between the numbers in each pair, selecting a pair that is similarly related to the provided pair of numbers.

II. Selecting a number that resembles a collection of numbers based on a set of shared characteristics.

Step-by-step explanation:

Given:

Three statements based on number analogy and number in series.

To find:

Missing number based on given analogy and series given.

Solution:

1)$18:81 :: 32:?$

$18$ can be written as $6\times3$

$81$ is the square of $9$ i.e. $(6+3)^{2}$

In a similar way,

$32$ can be written as $8\times4$

So, the missing number will be square of $12$  i.e.$(8+4)^{2}$ which is $144$

Hence, the solution is $18:81 :: 32:144$

2)$16, 19, 26, 38, 56,?$

The difference between the given series of number is $3,7,12,18$

The difference between these differences is $4,5,6$

Hence,the next difference will be $7$

So , the next number in the list will be $(18+7)$ that is $25$.

Therefore the missing number in the given series is $(56+25)$  i.e. $81$

The solution is $16, 19, 26, 38, 56,81$

3)$15:216 :: 12:?$

$216$ is the cube of $6$ i.e. $(1+5)^{3}$

So, the missing number will be cube of $3$ i.e. $(1+2)^{3}$  which is $27$

Hence, $15:216 :: 12:27$

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