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What is the cost of a single mango? (I) 5 mangoes and 3 apples cost ₹185. (II) 7 mangoes and 5 apples cost ₹275.
AStatement (I) alone is sufficient
BStatement (II) alone is sufficient
CBoth statements together are sufficient
DEven together not sufficient
Answer & Solution
Correct answer: C. Both statements together are sufficient
1. (I) alone: 5m + 3a = 185 — one equation, two unknowns. Insufficient.
2. (II) alone: 7m + 5a = 275 — also one equation in two unknowns.
3. Together: two equations, two unknowns. Solve: 25m + 15a = 925 and 21m + 15a = 825. Subtract: 4m = 100, m = 25.
4. Both together sufficient.
_Source: TSICET 2024 PYQ Q.8 (Shift 1, Data Sufficiency)_
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