NIMCET 2021 — Reasoning PYQ

1. The First Letter Pattern

The first letters are: Q, S, U, W, ...

Looking at their positions in the alphabet:

• $Q\stackrel{+2}{\to }S$

• $S\stackrel{+2}{\to }U$

• $U\stackrel{+2}{\to }W$

• $W\stackrel{+2}{\to }\mathbf{Y}$

The next first letter is Y.

2. The Middle Number Pattern

The numbers are: 1, 2, 6, 21, ...

The pattern involves multiplying by an increasing integer and then adding an increasing integer:

• $(1\times 1)+1=2$

• $(2\times 2)+2=6$

• $(6\times 3)+3=21$

• $(21\times 4)+4=88$

The next middle number is 88.

3. The Last Letter Pattern

The last letters are: F, E, D, C, ...

This is a simple reverse alphabetical order:

• $F\stackrel{-1}{\to }E$

• $E\stackrel{-1}{\to }D$

• $D\stackrel{-1}{\to }C$

• $C\stackrel{-1}{\to }\mathbf{B}$

The next last letter is B.

Final Result

Combining these three parts (Y, 88, and B), we get the missing term:

Correct Option: (C) Y88B