Question

find related number 182 : ?? :: 210 : 380

Answer 1

#ur Ans
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${14}^{2} - 14 = > 196 - 14 = 182 \\ \\ and \: second \: line \: process \\ \\ {15}^{2} - 15 = > 225 - 15 = 210 \\ \\ now \: increase \: five \: more \\ \\ {20}^{2} - 20 = > 400 - 20 = 380 \\ \\ so \: first \: line \: also \: increase \: \\ five \: more \\ \\ \: now \\ \\ 14 + 5 \: = 19 \\ so \\ \\ {19}^{2} - 19 = > 361 - 19 = 342 \\ \\ \: ans$


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Answer 2

Answer:

a is correct option.  342

Explanation:

We are analogy of number in ratio.

182:? :: 210 : 380

We need to find blank space or ?

Relation between first two number would be same as last two number.

Here we have to think about number and break into some term or formula.

This term or follows another number also.

We can write

$210=15^2-15$

We square a number and then subtract by same number. So, we will do same with another number 380.

$380=20^2-20$

We can see If first number is 15 then second number 20. It means 5 more than first number.

In 182 : ?? this ratio.

First we split 182 as same formula above.

$182=14^2-14$

We get a number as 14. Next number should be 5 more than 14.

So, another number should be 19.

Now using rule, we calculate the number using 19.

We get,

$?? = 19^2-19 \Rightarrow  342$

Thus, a is correct option.