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UPSC CSE CSAT 2016 · Paper II (CSAT) · Question 76 · Arithmetic: percentage, ratio, averages, time & work

W, किसी कार्य के 25% भाग को 30 दिनों में करता है; X उस कार्य के 1/4 भाग को 10 दिनों में करता है। Y…

UPSC Civil Services (Preliminary) Examination 2016, General Studies Paper II (CSAT), Question 76 — Arithmetic: percentage, ratio, averages, time & work.

W, किसी कार्य के 25% भाग को 30 दिनों में करता है; X उस कार्य के 1/4 भाग को 10 दिनों में करता है। Y उस कार्य के 40% भाग को 40 दिनों में करता है और Z उस कार्य के 1/3 भाग को 13 दिनों में करता है। कार्य को सबसे पहले कौन पूरा करेगा ?

Read this question in English

W can do 25% of a work in 30 days, X can do 1/4 of the work in 10 days, Y can do 40% of the work in 40 days and Z can do 1/3 of the work in 13 days. Who will complete the work first?

(a) W · (b) X · (c) Y · (d) Z

उत्तर और व्याख्या · explanation in English

Answer: (d) Z

Scaling each part-job up to the whole work: W needs 120 days, X 40, Y 100 and Z 39. Z finishes first.

  1. W: 25% in 30 days → 30 ÷ 1/4 = 120 days.
  2. X: 1/4 in 10 days → 40 days.
  3. Y: 40% in 40 days → 40 ÷ 2/5 = 100 days.
  4. Z: 1/3 in 13 days → 39 days — the fastest.

Remember · Convert every rate to days for the whole job (days ÷ fraction done) before comparing.

Question and answer: UPSC's official GS Paper II (2016, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·

Cite this question: UPSC CSE CSAT 2016, Q76 — minimalistias.com/pyqs/csat/2016/q76

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