SSC CGL Reasoning – Missing Numbers, Matrices & Venn-Based Counting – Level 3 · Mixed and Deeper

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SSC CGL Reasoning – Missing Numbers, Matrices & Venn-Based Counting – Level 3 · Mixed and Deeper – 8 questions, subject: General Intelligence & Reasoning. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

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1.  
MatrixFind the missing number.

Correct Answer: C [49]

Explanation:

(2 + 3)² = 25, (4 + 1)² = 25 → (5 + 2)² = 49.

2.  
Find the missing number: (2, 1) → 9, (3, 4) → 31, (1, 6) → ?

Correct Answer: B [7]

Explanation:

First³ + second: 8 + 1 = 9, 27 + 4 = 31 → 1 + 6 = 7.

3.  
SurveyIn a survey of three schemes, 12 people joined only schemes A and B, 9 only B and C, 7 only A and C, and 4 joined all three. How many joined at least two schemes?

Correct Answer: D [32]

Explanation:

Two-only 12 + 9 + 7 = 28, plus all three 4 → 32.

4.  
SurveyOf 150 people, 70 use app A, 60 use app B and 50 use app C. 25 use A and B, 20 use B and C, 15 use A and C, and 10 use all three. How many use exactly one app?

Correct Answer: D [90]

Explanation:

180 − 2 × 60 + 3 × 10 = 90 (only A 40, only B 25, only C 25).

5.  
Assertion–ReasonAssertion (A): If 40 of 60 students like X and 35 like Y, at least 15 students like both.
Reason (R): n(A ∩ B) is never less than n(A) + n(B) − Total.

Correct Answer: A [Both A and R are true and R explains A]

Explanation:

R is the squeeze rule: the overlap is at least A + B − Total, because the union A + B − overlap cannot exceed the total; 40 + 35 − 60 = 15 gives A.

6.  
Max/MinIn a class of 60, 42 passed Maths and 33 passed Science. What are the least and the greatest possible numbers who passed both?

Correct Answer: A [15 and 33]

Explanation:

Least = 42 + 33 − 60 = 15; greatest = the smaller group 33.

7.  
FigureIn this pyramid each block is the PRODUCT of the two blocks below it. Find the missing number in the bottom row.

Correct Answer: C [3]

Explanation:

Top = 2x × 4x = 8x² = 72 → x² = 9 → x = 3.

8.  
FigureFind the missing number.

Correct Answer: B [7]

Explanation:

Centre = top × left − right: 20 − 3 = 17, 18 − 7 = 11 → 16 − 9 = 7.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 General Intelligence & Reasoning book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-general-intelligence-reasoning

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