NIMCET 2015 — Reasoning PYQ

Step 1: Analyze the Pattern

If we reverse the digits of each number in the given sequence, a clear mathematical pattern emerges:

• $61$ reversed becomes $16$, which is $4^2$

• $52$ reversed becomes $25$, which is $5^2$

• $63$ reversed becomes $36$, which is $6^2$

• $94$ reversed becomes $49$, which is $7^2$

Step 2: Identify the Next Term

The sequence of reversed numbers is the squares of consecutive integers: $4^2,5^2,6^2,7^2,\dots$

The next number in this square sequence is:

Step 3: Final Conversion

To get the actual term in the original sequence, we must reverse the digits of $64$:

Conclusion:

The next number in the sequence is $46$.

Correct Option: (d) $46$