Question

A ratio a : b satisifies the following conditions:

1) the antecedent is a multiple of 2 and lies between 3 and 5 (including 3 and 5 )
2) the consequent is a multiple of 3 and lies between 4 and 7

What is the sum of antecedent and consequent terms in the simplest form of the above ratio?

• A. 10
• B. 5
• C. 2
• D. 1

Answer 1

The correct option is B 5

Given,
the antecedent lies between 3 and 5 and is a multiple of 2.
The numbers between 3 and 5 that is a multiple of 2 is 4.

The consequent lies between 4 and 7. The numbers between 4 and 7 are 5,6
It is known that the consequent is divisible by 3
$\Rightarrow$ The consequent term is 6 since that is the only number between 4 and 7 that is divisible by 3

$\therefore$ The required ratio is 4 : 6
In its simplest form 4 : 6 can be written as 2 : 3.

$\therefore$Sum of the antecedent and the consequent term is 2 + 3 = 5