Question

The given set of numbers is \[\left( {50,101,170} \right)\]. From the following options, which number is like the given set of numbers?
A. \[80\]
B. \[37\]
C. \[120\]
D. \[121\]

Answer 1

Hint: The given problem is a number analogy. On the reasoning ability, we know that the numbers can be perfect squares, or it can be even or odd, or it can be cubes of the given number. By just understanding the basic idea of the numbers, one can easily find the logic behind it, and solve problems like this.

Complete step-by-step answer:
We can solve this by assuming that,
The logic of each number in the group is \[{x^2} + 1\].
\[50 = {7^2} + 1\]
\[101 = {10^2} + 1\]
\[170 = {13^2} + 1\]
The number that justifies the above logic is:
 \[37 = {6^2} + 1\] , As this is the most logical option available.
So, we got the number. The number is \[37\].
Therefore, option B is the right option.
So, the correct answer is “Option B”.

Note: When we talk about Number Analogy, it is basically the questions based on creative thinking. A question can ask anything about the difference and the similarities between the given set of numbers. By practicing such queries, one can become a little better at verbal analogies. One should convert the analogy into sentences for a better understanding and approach to solve the query.