NIMCET 2010 — Reasoning PYQ

1. Analyzing the Pattern:

In each column, the relationship is:

Let's verify this with the known columns:

• Column 1: Letter is $S$. $S=19$. Bottom value is $20$.

  $$19+1=20$$

• Column 2: Letter is $J$. $J=10$. Top value is $8$.

  Wait, let's re-examine. If we look at the diagonal or direct mapping:

• Col 1: Top $S(19)\to$ Bottom $20$. ($+1$)

• Col 2: Bottom $J(10)\to$ Top $8$. ($-2$)

• Col 3: Top $W(23)\to$ Bottom $25$. ($+2$)

• Col 4: Bottom $T(20)\to$ Top $16$. ($-4$)

• Col 5: Top $A(1)\to$ Bottom $4$. ($+3$)

• Col 6: Bottom $K(11)\to$ Top $5$. ($-6$)

2. The established pattern is:

• If the letter is on Top, the Bottom number is $\text{Position}+\text{Increment}$.

• If the letter is on Bottom, the Top number is $\text{Position}-\text{Decrement}$.

The increments/decrements follow a sequence: $+1,-2,+2,-4,+3,-6\dots$

This splits into two series:

• Top to Bottom (Increments): $+1,+2,+3,+4\dots$

• Bottom to Top (Decrements): $-2,-4,-6,-8\dots$

3. Finding X (Column 8):

The letter $L$ is in the Bottom cell. This is the 4th "Bottom to Top" calculation.

The decrements are $-2,-4,-6$. The next decrement is $-8$.

• Position of $L=12$

  $$X=12-8$$
  $$X=4$$

4. Finding Y (Column 9):

The letter $A$ is in the Top cell. This is the 5th "Top to Bottom" calculation.

The increments are $+1,+2,+3,+4$. The next increment is $+5$.

• Position of $A=1$

  $$Y=1+5$$
  $$Y=6$$

Conclusion:

$X=4$ and $Y=6$.

Correct Option: (c) X is 4, Y is 6