NIMCET 2015 — Reasoning PYQ

1. Analysis of the First Letter:

The first letters follow a reverse alphabetical order:

• $Z\to Y\to X\to W\dots$

• The next two letters in this sequence will be $V$ and $U$.

2. Analysis of the Last Letter:

The last letters follow a standard alphabetical order:

• $A\to B\to C\to D\dots$

• The next two letters in this sequence will be $E$ and $F$.

3. Analysis of the Numbers and their Positions:

The numbers follow two patterns: their value and their placement (whether they are in the middle or at the end).

• Values: $5,4,6,3,\dots$

  • $5-1=4$

  • $4+2=6$

  • $6-3=3$

  • Following this $+/-$ alternating logic with increasing increments:

  • $3+4=7$ (Next number)

  • $7-5=2$ (Following number)

• Placement:

  • $Z{A}_5$ (End)

  • $Y_{4}B$ (Middle)

  • $X{C}_6$ (End)

  • $W_{3}D$ (Middle)

  • Next term should have the number at the End.

  • Following term should have the number in the Middle.

4. Combining the Patterns:

• Next term ($5^{\text{th}}$):

  • First letter: $V$

  • Last letter: $E$

  • Number: $7$ (at the End)

  • Result: $V{E}_7$

• Following term ($6^{\text{th}}$):

  • First letter: $U$

  • Last letter: $F$

  • Number: $2$ (in the Middle)

  • Result: $U_{2}F$

Conclusion:

The two patterns that fit the blanks are $V{E}_7$ and $U_{2}F$.

Correct Option: (c) $V{E}_7$ and $U_{2}F$