Question

What number best completes the analogy; 144:12 1369?

Answer 1

144:12 1369:37.
37 best completes the analogy.
Hope it helps

Answer 2

$\bold{144 : 12 :: 1369 : 37}$

Step-by-step explanation:

To solve the analogy problems, we need to find the pattern in the first set of elements.

The question seems to have the square root pattern.

As,

$12 \times 12=144 \Rightarrow \sqrt{144} \rightarrow 12$

Similarly, second pattern also will the following the same square root pattern.

$\sqrt{1369}$ gives the required number.

Let us find out the square root using trial and error method.

We know that,

$40 \times 40=1600$

$39 \times 39=1521$

$38 \times 38=1444$

$35 \times 35=1225$

$36 \times 36=1296$

So, the required number 1369 is in between 1296 and 1444

Consider,

$37 \times 37=1369$

So,

$\sqrt{1369}=37$

Therefore,

$144 : 12 :: 1369 : 37$