MAH-CET 2026 — Reasoning PYQ

The objective of a data sufficiency problem is to determine whether the given statements provide enough information to definitively answer the question: "Is x > y?"

Let us analyze each statement individually:

Step 1: Analyze Statement I alone

• The equation given is $x+y=10$.

• If $x=6$ and $y=4$, then $x+y=10$, and here x > y is True.

• If $x=4$ and $y=6$, then $x+y=10$, and here x > y is False.

• Since we can get both a "Yes" and a "No" answer, Statement I alone is not sufficient.

Step 2: Analyze Statement II alone

• The equation given is $x-y=2$.

• We can rewrite this equation by moving $y$ to the right side:

  $$x=y+2$$

• Since adding a positive number ($2$) to $y$ gives us $x$, it mathematically guarantees that $x$ will always be greater than $y$ (regardless of whether they are positive, negative, or fractional numbers).

• Let's test with examples:

  • If $y=3$, then x = 5 \implies 5 > 3 (Yes)

  • If $y=-5$, then x = -3 \implies -3 > -5 (Yes)

• Since we get a definitive "Yes" in every case, Statement II alone is sufficient.

Correct Answer

Therefore, Statement II alone is sufficient to answer the question, while Statement I alone is not.

The correct option is (b) II alone sufficient.