GATE 2025 EC GA Q.9: solution and answer

GATE 2025 · ECGA Q.9 · 2 marks · MCQ

The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?

GATE 2025 EC GA question 9: A table with four columns headed Nation, Gold, Silver, Bronze, and five data rows in this order: USA: Gold 40, Silver… — Figure from the GATE 2025 EC paper. It is part of the question.

(A)
France will occupy the third place if the list were made on the basis of the total number of medals won.
(B)
The order of the top two nations will not change even if the list is made on the basis of the total number of medals won.
(C)
USA and Canada together have less than 50% of the medals awarded to the nations in the above table.
(D)
Canada has won twice as many total medals as Japan.

Answer and solution

ANSWER

(C) is the incorrect statement. USA and Canada together won 215 of the 376 medals in the table, about 57.2%, which is more than 50%.

Official answer: CSource: Official answer key, GATE 2025 EC (IIT Roorkee)

Total medals per nation (Gold + Silver + Bronze): USA $40 + 44 + 41 = 125$ , Canada $39 + 27 + 24 = 90$ , Japan $20 + 12 + 13 = 45$ , Australia $17 + 19 + 16 = 52$ , France $16 + 26 + 22 = 64$ .
Rank by total: USA (125) > Canada (90) > France (64) > Australia (52) > Japan (45).
(A) France is third by total, so the statement is correct.
(B) By gold the top two are USA (40) and Canada (39). By total they are still USA (125) and Canada (90), in the same order. Correct.
(C) Grand total $= 125 + 90 + 45 + 52 + 64 = 376$ , so half of it is $188$ . USA + Canada $= 125 + 90 = 215 > 188$ . In percentage terms, $\frac{215}{376} \times 100 \approx 57.2%$ , which is more than 50%. The claim of "less than 50%" is therefore false. INCORRECT.
(D) Canada $90 = 2 \times 45$ , which is twice Japan's total. Correct.
The only incorrect statement is (C).

KEY IDEA

Add each row across to get every nation's total medal count, then test each statement against those totals. For a "less than 50%" claim, compare the part with half the grand total (here 188). That settles it without working out an exact percentage.

WATCH OUT FOR

Using only the Gold column, or reading the question as "which statement is correct". On gold alone, USA + Canada have 79 of 132 golds, which is also more than 50%, but options (A) and (D) need the totals across all three columns. Candidates also make arithmetic slips in the grand total (376); a slip there can make (C) look true.

From the GATE 2025 EC paper. Every question of this paper · Download the full paper · All 9 Data interpretation questions, with notes

GATE 2025 EC GA Q.9: solution and answer

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