SSC CGL Reasoning – Missing Numbers, Matrices & Venn-Based Counting – Level 3 · Mixed and Deeper
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Centre = top × left − right: 20 − 3 = 17, 18 − 7 = 11 → 16 − 9 = 7.
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.
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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