NIMCET 2021 — Reasoning PYQ

This is a coding-decoding problem based on letter shifting. Here is the structured solution in LaTeX as requested:

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Question

If COUNSEL is written as BITIRAK, then how will GUIDANCE be written?

Options:

A) FQHDBNBE

B) HUIEANCE

C) FOHYZJBB

D) EOHYZJBB

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Solution

To solve this, we must find the pattern of transformation from the word COUNSEL to BITIRAK. We do this by checking the position of each letter in the English alphabet ($A=1,B=2,\dots ,Z=26$).

1. Analyze the First Word (COUNSEL $\to$ BITIRAK)

• $C(3)\stackrel{-1}{\to }B(2)$

• $O(15)\stackrel{-6}{\to }I(9)$

• $U(21)\stackrel{-1}{\to }T(20)$

• $N(14)\stackrel{-5}{\to }I(9)$

• $S(19)\stackrel{-1}{\to }R(18)$

• $E(5)\stackrel{-4}{\to }A(1)$

• $L(12)\stackrel{-1}{\to }K(11)$

The Pattern: The letters at odd positions (1st, 3rd, 5th, 7th) follow a $-1$ shift. The letters at even positions (2nd, 4th, 6th) follow a decreasing subtractive shift of $-6,-5,-4$.

2. Apply the Pattern to GUIDANCE

• G (7) $\stackrel{-1}{\to }$ F (6)

• U (21) $\stackrel{-6}{\to }$ O (15)

• I (9) $\stackrel{-1}{\to }$ H (8)

• D (4) $\stackrel{-5}{\to }$ Y (25) (Moving backward: $D\to C\to B\to A\to Z\to Y$)

• A (1) $\stackrel{-1}{\to }$ Z (26)

• N (14) $\stackrel{-4}{\to }$ J (10)

• C (3) $\stackrel{-1}{\to }$ B (2)

• E (5) $\stackrel{-3}{\to }$ B (2) (Following the sequence $-6,-5,-4,-3$ for even slots)

3. Resulting Word

The transformed word is FOHYZJBB.

4. Final Answer

The correct option is C) FOHYZJBB.