SSC CGL Reasoning – Mathematical & Symbolic Operations – Level 2 · Exam Level · Tier I Sprint

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SSC CGL Reasoning – Mathematical & Symbolic Operations – Level 2 · Exam Level · 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.  
Sign substitutionIf + means ×, × means −, − means ÷ and ÷ means +, what is 12 − 4 + 3 ÷ 6 × 2?

Correct Answer: A [13]

Explanation:

Rewrite: 12 ÷ 4 × 3 + 6 − 2 = 3 × 3 + 6 − 2 = 13.

2.  
Interchange signsWhich two signs should be interchanged to make the equation correct?
4 × 20 + 3 − 4 = 60

Correct Answer: B [× and +]

Explanation:

Interchange × and +: 4 + 20 × 3 − 4 = 4 + 60 − 4 = 60 ✓.

3.  
Operation patternIf 5 ⋆ 4 = 29, 7 ⋆ 2 = 23 and 6 ⋆ 1 = 13, then 8 ⋆ 3 = ?

Correct Answer: C [35]

Explanation:

a ⋆ b = ab + a + b: 20 + 9 = 29, 14 + 9 = 23, 6 + 7 = 13; 24 + 11 = 35.

4.  
Fill the signsWhich signs, in order, replace the * marks to balance the equation?
6 * 3 * 4 * 2 * 26

Correct Answer: D [(×, +, ×, =)]

Explanation:

6 × 3 + 4 × 2 = 18 + 8 = 26 ✓.

5.  
Coded inequality@ means 'greater than', # 'less than', % 'equal to', & 'greater than or equal to', © 'less than or equal to'.
Statements: A @ B, B % C, C & D.
Conclusions: I. A @ D II. D @ B

Correct Answer: A [Only I follows]

Explanation:

A > B = C ≥ D, so A > D (I follows).

6.  
Interchange numbersWhich two numbers should be interchanged to make the equation correct?
3 × 7 + 15 − 6 = 26

Correct Answer: C [7 and 6]

Explanation:

3 × 6 + 15 − 7 = 18 + 15 − 7 = 26 ✓.

7.  
Defined operationIf a ⊕ b = a + b + ab, what is (1 ⊕ 2) ⊕ 3?

Correct Answer: B [23]

Explanation:

1 ⊕ 2 = 1 + 2 + 2 = 5; 5 ⊕ 3 = 5 + 3 + 15 = 23.

8.  
Sign substitutionIf W means ÷, X means +, Y means − and Z means ×, what is 56 W 8 X 6 Z 3 Y 9?

Correct Answer: D [16]

Explanation:

56 ÷ 8 + 6 × 3 − 9 = 7 + 18 − 9 = 16.

9.  
Correct equationIf × and + are interchanged and ÷ and − are interchanged, which equation becomes correct?

Correct Answer: C [6 + 3 × 4 − 2 = 20]

Explanation:

6 + 3 × 4 − 2 becomes 6 × 3 + 4 ÷ 2 = 18 + 2 = 20 ✓.

10.  
Operation patternIf 7 ⋆ 3 = 2110 and 9 ⋆ 5 = 4514, then 8 ⋆ 2 = ?

Correct Answer: D [1610]

Explanation:

Write a × b and then a + b side by side: 21|10, 45|14 → 16|10.

11.  
Trick SpotterIf 6 ⋆ 3 = 45, 4 ⋆ 2 = 20 and 3 ⋆ 1 = 10, which check should you try first?

Correct Answer: A [Add the squares of the two numbers]

Explanation:

Results larger than a × b point to squares: 36 + 9 = 45, 16 + 4 = 20, 9 + 1 = 10 → a² + b².

12.  
Statement-basedWhich statements are correct?
I. 12 ÷ 4 × 3 = 9
II. 12 ÷ (4 × 3) = 1

Correct Answer: B [Both I and II]

Explanation:

I: left to right, 3 × 3 = 9 ✓.

13.  
Interchange signsWhich two signs should be interchanged to make the equation correct?
12 × 3 − 7 + 18 = 25

Correct Answer: A [− and +]

Explanation:

12 × 3 + 7 − 18 = 36 + 7 − 18 = 25 ✓.

14.  
Operation patternIf 4 ⋆ 3 = 15, 6 ⋆ 2 = 15 and 2 ⋆ 5 = 13, then 5 ⋆ 4 = ?

Correct Answer: B [23]

Explanation:

a ⋆ b = a × b + 3: 12 + 3 = 15, 12 + 3 = 15, 10 + 3 = 13; 20 + 3 = 23.

15.  
Coded inequalityUsing the same symbols (@ >, # <, % =, & ≥, © ≤):
Statements: M # N, N © O, O % P.
Conclusions: I. M # P II. P & N

Correct Answer: D [Both follow]

Explanation:

M < N ≤ O = P: M < P (I follows) and P ≥ N (II follows).

➤ 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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