Question

In the following question, there is a certain relationship between two given terms on one side of (::) and one term is given on the other side of (: :), while another term is to be found from the given alternative having the same relationship with this term as the terms of the given pair bear. Choose the best alternative.

12:30:: 14:?​

Answer 1

Given:

12 : 30 : : 14 : ?​

We have to find, the value of missing number (?) is

Solution:

The pattern follow:

a : $\dfrac{5}{2} \times a$

12 : 30

30 = $\dfrac{5}{2} \times 12$

= 5 × 6 = 30

Similarly,

14 : ?

? = $\dfrac{5}{2} \times 14$

⇒ ? = 5 × 7

⇒ ? = 35

∴ The value of missing number (?) = 35

Thus, 12 : 30 : : 14 : "35".

Answer 2

Ratio relationship

To find:

12:30:: 14:?​

Explanation:

In these type of question, we need to first find the relationship among first 2 number and then apply the same relationship in last 2 numbers.

30 can be written as

$12 \times2+(\frac{12}{2} )\\\\24+6=30$

So, same relationship is for last 2 number,

let the fourth number be x, so 14:x  should ideally have same relation as of 12:30.

Hence,

$14 \times2+(\frac{14}{2})=x\\\\28+7=35=x$

Hence fourth number is 35.