GATE DA Logic Practice Questions: Chapter-wise Weightage and Solved Questions

GATE DA Logic: 2 chapters, 0 practice questions and one solved question from each chapter.

Logic Chapter Matrix

Chapter	PYQs	Share of unit PYQs	Practice questions
Logical Reasoning and Constraint Deduction	0	0%	0
Propositional Logic and Logical Equivalence	0	0%	0

One Solved Question from Each Logic Chapter

Question 1 · Analytical Aptitude MCQ

A function $h (x)$ monotonically increases up to $x = 10$ and then monotonically decreases. If $h (4) = h (y)$ for some $y \neq = 4$ , which of the following is a possible value for $y$ ?

A.
2
B.
8
C.
12
D.
10

Correct Answer:

Step-by-Step Solution

Key idea: This is a single peak pattern question, recognizable by the function increasing then decreasing, and an equality between outputs at different inputs.

Step 1: Understand the shape of the function. It increases up to $x = 10$ (the peak) and then decreases.

Step 2: Analyze the given condition. We have $h (4) = h (y)$ with $y \neq = 4$ . The input $x = 4$ is on the increasing side of the peak (since $4 < 10$ ).

Step 3: Apply the single peak rule. For a function with a single peak, if two different inputs yield the same output, one input must be on the increasing side (left of the peak) and the other must be on the decreasing side (right of the peak).

Step 4: Since $x = 4$ is on the left, $y$ must be on the right side of the peak. Therefore, $y$ must be strictly greater than 10.

Step 5: Evaluate the options. 2, 8, and 10 are all $\leq 10$ . Only 12 is $> 10$ .

Answer: C

chapter

GATE DA Logic Practice Questions: Chapter-wise Weightage and Solved Questions

GATE DA Logic: 2 chapters, 0 practice questions and one solved question from each chapter.

A question from this chapter

Question 1

A function h (x) monotonically increases up to x = 10 and then monotonically decreases. If h (4) = h (y) for some y \neq = 4, which of the following is a possible value for y ?

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