There is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having same relationship with this number as the numbers of the given pair. Choose the best alternative.
22 : 8 :: 55 : ?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 19
Note: The given answer is as per the official NTA Answer Key. However, the question has two possible answers, i.e. both Option (2) and Option (3), as explained below.
In a number analogy, the rule that turns the first number of the given pair into the second is applied to the third number. Two simple rules fit the pair 22 : 8.
Rule 1: the first number is 3 times the second, minus 2 (gives 19, Option (2))
Given pair: \(3\times8-2=22\)
For 55: \(3\times?-2=55\), so \(3\times?=57\) and \(?=19\)
Rule 2: the second number is twice the sum of the digits of the first (gives 20, Option (3))
Given pair: \(2\times(2+2)=8\)
For 55: \(2\times(5+5)=20\)
Tip for students: When two rules fit the given pair equally well, mark the answer of the rule you found yourself. If NTA’s answer key gives the other one, challenge it when NTA opens the window for challenges.