SSC CGL Reasoning – Mathematical & Symbolic Operations – Level 3 · Challenge
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16 ÷ 4 × 2 + 3 = 4 × 2 + 3 = 11 ✓.
SSC CGL Reasoning – Mathematical & Symbolic Operations – Level 3 · Challenge – 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.
Sign substitutionIf + means ÷, ÷ means −, − means × and × means +, what is 36 + 4 ÷ 3 − 2 × 5?
Correct Answer: C [8]
Explanation:
36 ÷ 4 − 3 × 2 + 5 = 9 − 6 + 5 = 8.
2.
Interchange signsWhich two signs should be interchanged to make the equation correct?
7 × 3 + 6 − 5 = 34
7 × 3 + 6 − 5 = 34
Correct Answer: B [× and −]
Explanation:
7 − 3 + 6 × 5 = 4 + 30 = 34 ✓.
3.
Fill the signsWhich signs, in order, replace the * marks to balance the equation?
15 * 3 * 4 * 8 * 28
15 * 3 * 4 * 8 * 28
Correct Answer: D [(÷, ×, +, =)]
Explanation:
15 ÷ 3 × 4 + 8 = 20 + 8 = 28 ✓.
4.
Coded inequalityUsing @ >, # <, % =, & ≥, © ≤:
Statements: R & S, S % T, T @ U.
Conclusions: I. R @ T II. R % T
Statements: R & S, S % T, T @ U.
Conclusions: I. R @ T II. R % T
Correct Answer: A [Either I or II follows]
Explanation:
R ≥ S = T, so R ≥ T: either R > T or R = T, and one of them must be true.
5.
Operation patternIf 8 ⋆ 5 = 39, 6 ⋆ 4 = 20 and 9 ⋆ 7 = 32, then 10 ⋆ 6 = ?
Correct Answer: C [64]
Explanation:
a ⋆ b = a² − b²: 64 − 25 = 39, 36 − 16 = 20, 81 − 49 = 32; 100 − 36 = 64.
6.
Defined operationa ★ b = a + b if a > b, and a ★ b = a × b if a ≤ b. What is (3 ★ 5) ★ 7?
Correct Answer: A [22]
Explanation:
3 ≤ 5, so 3 ★ 5 = 15. Then 15 > 7, so 15 ★ 7 = 15 + 7 = 22.
7.
Assertion–ReasonAssertion (A): 6 + 4 × 2 = 14.
Reason (R): Multiplication is done before addition unless brackets say otherwise.
Reason (R): Multiplication is done before addition unless brackets say otherwise.
Correct Answer: C [Both A and R are true and R explains A]
Explanation:
4 × 2 = 8 first, then 6 + 8 = 14 – exactly because of R.
8.
Correct equationIf + and × are interchanged, which equation becomes correct?
Correct Answer: B [16 ÷ 4 + 2 × 3 = 11]
Explanation:
16 ÷ 4 × 2 + 3 = 4 × 2 + 3 = 11 ✓.
➤ 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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