SSC CGL Reasoning – Mathematical & Symbolic Operations – Tier II Level · Marathon

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SSC CGL Reasoning – Mathematical & Symbolic Operations – Tier II Level · Marathon – 10 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.  
Correct equationIf the signs + and × are interchanged and the numbers 3 and 5 are interchanged, which equation becomes correct?

Correct Answer: D [3 × 5 + 8 = 29]

Explanation:

3 × 5 + 8 → 5 × 3 + 8 (numbers) → 5 + 3 × 8 (signs) = 29 ✓.

2.  
Coded inequalityUsing @ >, # <, % =, & ≥, © ≤:
Statements: P % Q, Q @ R, R & S, T # S.
Conclusions: I. P @ S II. T # Q

Correct Answer: C [Both follow]

Explanation:

P = Q > R ≥ S > T. P > S ✓ (Q > R ≥ S); T < S ≤ R < Q, so T < Q ✓.

3.  
Coded inequalityUsing @ >, # <, % =, & ≥, © ≤:
Statements: P © Q, Q # R, S @ R, S % T.
Conclusions: I. P % S II. Q @ T

Correct Answer: B [Neither follows]

Explanation:

P ≤ Q < R < S = T. P is definitely less than S (I false) and Q is less than T (II false).

4.  
Operation patternIf 5 ⋆ 2 = 2110 and 7 ⋆ 3 = 4021, then 6 ⋆ 4 = ?

Correct Answer: A [2024]

Explanation:

Write a² − b² and then a × b side by side: 21|10, 40|21 → 36 − 16 = 20 and 24 → 2024.

5.  
Fill the signsEach of the signs +, −, ×, ÷ and = is used once. Which order balances the equation?
11 * 18 * 9 * 20 * 12 * 10

Correct Answer: D [×, ÷, =, +, −]

Explanation:

11 × 18 ÷ 9 = 22 and 20 + 12 − 10 = 22 ✓.

6.  
Sign substitutionIf + means ×, × means +, − means ÷ and ÷ means −, what is (8 + 3) − 6 × 4 ÷ 2?

Correct Answer: D [6]

Explanation:

(8 × 3) ÷ 6 + 4 − 2 = 24 ÷ 6 + 4 − 2 = 4 + 4 − 2 = 6.

7.  
Defined operationIf a ∆ b = a² − b² and a ∇ b = a − b, what is (8 ∆ 2) ÷ (8 ∇ 2)?

Correct Answer: C [10]

Explanation:

8 ∆ 2 = 64 − 4 = 60; 8 ∇ 2 = 6; 60 ÷ 6 = 10 (which is 8 + 2, because a² − b² = (a + b)(a − b)).

8.  
Interchange numbersWhich two numbers should be interchanged to make the equation correct?
12 ÷ 6 × 9 + 5 = 13

Correct Answer: B [6 and 9]

Explanation:

12 ÷ 9 × 6 + 5 = 8 + 5 = 13 ✓ (12 ÷ 9 × 6 = 72 ÷ 9 = 8).

9.  
Sign substitutionIf + and × are interchanged, which expression has the greatest value?

Correct Answer: A [4 + 6 × 5]

Explanation:

After interchanging: 4 × 6 + 5 = 29, 9 + 2 × 3 = 15, 2 × 3 × 4 = 24, 7 + 1 + 8 = 16.

10.  
Coded inequalityUsing @ >, # <, % =, & ≥, © ≤ and the statements W @ X, X % Y, Y & Z, which conclusion is definitely true?

Correct Answer: B [W @ Z]

Explanation:

W > X = Y ≥ Z, so W > Z. X and Z may be equal, so X @ Z and Y % Z are not certain.

➤ 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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