SSC CGL Reasoning – Missing Numbers, Matrices & Venn-Based Counting – Level 2 · Tier I Sprint

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SSC CGL Reasoning – Missing Numbers, Matrices & Venn-Based Counting – Level 2 · Tier I Sprint – 15 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 in the matrix.

Correct Answer: A [18]

Explanation:

Columns: top × middle = bottom (2 × 4 = 8, 5 × 3 = 15) → 3 × 6 = 18.

2.  
FigureFind the missing number in the centre of the third figure.

Correct Answer: C [23]

Explanation:

Centre = top × bottom − left × right: 5 × 4 − 3 × 2 = 14, 6 × 3 − 2 × 1 = 16 → 7 × 5 − 4 × 3 = 23.

3.  
FigureFind the missing number.

Correct Answer: A [25]

Explanation:

Centre = (top + left) × right: (2 + 3) × 4 = 20, (1 + 4) × 3 = 15 → (3 + 2) × 5 = 25.

4.  
Find the missing number: (5, 3, 22), (7, 9, 40), (8, 5, ?)

Correct Answer: B [59]

Explanation:

First² − second: 25 − 3 = 22, 49 − 9 = 40 → 64 − 5 = 59.

5.  
FigureFind the missing number.

Correct Answer: D [18]

Explanation:

Opposite sectors add to 25: 4 + 21, 9 + 16, 13 + 12 → 25 − 7 = 18.

6.  

Directions (Q 18–19): The diagram shows the members of a cultural club.

How many members are singers and dancers but not actors?

Correct Answer: A [8]

Explanation:

The Singers–Dancers overlap outside Actors: 8.

7.  
(Use the directions above – Q 18–19)
How many members have at least two of the three talents?

Correct Answer: B [27]

Explanation:

Two-only 8 + 6 + 9 = 23, plus all three 4 → 27.

8.  
SurveyOf 120 students, 55 like hockey, 48 like kabaddi and 40 like chess. 18 like hockey and kabaddi, 14 like kabaddi and chess, 16 like hockey and chess, and 6 like all three. How many like none of the three games?

Correct Answer: D [19]

Explanation:

At least one = 143 − 48 + 6 = 101 → none = 120 − 101 = 19.

9.  
Quantity ComparisonA class has 50 students: 30 play cricket, 25 play football and 12 play both.
Quantity I: students who play only cricket.
Quantity II: students who play neither game.

Correct Answer: A [Quantity I > Quantity II]

Explanation:

Only cricket 30 − 12 = 18; neither 50 − (30 + 25 − 12) = 7 → I > II.

10.  
Trick SpotterFor three groups, P is the sum of the three pair overlaps (each 'both X and Y') and T is the number in all three. Which expression gives the number in exactly two groups?

Correct Answer: C [P − 3T]

Explanation:

Each person in all three is counted 3 times in P, so remove 3T.

11.  
Spot My Mistake'Of 70 students, 40 like music, 25 like dance and 10 like both. So 70 − (40 + 25) = 5 like neither.' What is the correct number?

Correct Answer: D [15]

Explanation:

Union = 40 + 25 − 10 = 55 (both was counted twice) → neither = 70 − 55 = 15.

12.  
FigureFind the missing number.

Correct Answer: A [21]

Explanation:

Centre = sum of squares of corners: 1 + 4 + 9 = 14, 4 + 4 + 1 = 9 → 16 + 4 + 1 = 21.

13.  
MatrixFind the missing number.

Correct Answer: B [9]

Explanation:

Each row goes up by 4: 3, 7, 11 and 2, 6, 10 → 5, 9, 13.

14.  
VennIn the diagram, which letter stands for teachers who are singers but not writers?

Correct Answer: C [T]

Explanation:

Teachers ∩ Singers outside Writers is the left-bottom overlap: T.

15.  
Reverse questionIn an office of 90 people, 50 speak Hindi, 20 speak both Hindi and English, and 8 speak neither. How many speak only English?

Correct Answer: A [32]

Explanation:

At least one = 90 − 8 = 82 → only English = 82 − 50 = 32.

➤ 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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