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Analytical Aptitude Practice Questions for GATE DA

GATE DA Analytical Aptitude: 1 units and 2 chapters, weightage from 5 previous year questions across 3 papers, a study order by exam weight and 278 practice q

A question from this chapter

Question 1

Level 1: Warm-up

Which one of the following propositions is logically equivalent to p \to \neg q by the law of material implication?

Question 2

Level 1: Warm-up

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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Analytical Aptitude Practice Questions for GATE DA

GATE DA Analytical Aptitude: 1 units and 2 chapters, weightage from 5 previous year questions across 3 papers, a study order by exam weight and 278 practice questions.

About Analytical Aptitude Practice Questions

278 practice questions for Analytical Aptitude in GATE DA, sorted chapter by chapter and graded from basic to exam level, each with a full solution.

GATE DA Analytical Aptitude Unit-wise Weightage from Past Papers

We counted every GATE DA Analytical Aptitude previous year question in our bank (5 questions from 3 papers) and grouped them by unit.

Unit	Chapters	PYQs	Share of section	Avg per paper
Logic	2	5	100%	1.7

Suggested Analytical Aptitude Study Order for GATE DA

Logic: 100% of past Analytical Aptitude questions, about 1.7 per paper.

Start where the marks are. Units at the top of this list have appeared most often in past GATE DA papers.

Units in GATE DA Analytical Aptitude

Logic Practice Questions (2 chapters)

All Analytical Aptitude chapters

One Solved Question from Each Analytical Aptitude Chapter

Question 1 · Propositional Logic and Logical Equivalence MCQ

Which one of the following propositions is logically equivalent to $p \to \neg q$ by the law of material implication?

A.
$

eg p \lor

eg q$
B.
$

eg p \land q$
C.
$p \lor

eg q$
D.
$p \land

eg q$

Correct Answer:

Step-by-Step Solution

Key idea: The law of material implication states that $A \to B \equiv \neg A \lor B$ .

Step 1: Identify the components of the given conditional: $A = p$ and $B = \neg q$ .

Step 2: Apply the material implication rule: $p \to \neg q \equiv \neg p \lor \neg q$ .

Step 3: This matches Option A exactly.

Answer: Option A.

Question 2 · Logical Reasoning and Constraint Deduction 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