A, B and C together can complete a work in 18 days. A and B together can complete the same work in 24 days. C alone can complete the same work in how many days?
A, B तथा C मिलकर एक कार्य को 18 दिनों में पूरा कर सकते हैं। A तथा B मिलकर उसी कार्य को 24 दिनों में पूरा कर सकते हैं। C अकेला उसी कार्य को कितने दिनों में पूरा कर सकता है?
Answer और ExplanationAnswer and explanation
Answer: (A) 72
कुल कार्य = LCM(18, 24) = 72 units
(A + B + C) = 4 units/day, (A + B) = 3 units/day ⇒ C = 1 unit/day
C अकेले = 721 = 72 दिन
✓
C अकेले 72 दिन लेगा।
Total work = LCM(18, 24) = 72 units
(A + B + C) = 4 units/day, (A + B) = 3 units/day ⇒ C = 1 unit/day
C alone = 721 = 72 days
✓
C alone takes 72 days.
SMART APPROACH
C = 18 × 2424 − 18 = 4326 = 72 दिन।
C = 18 × 2424 − 18 = 4326 = 72 days.
Source: GD · 28 Apr 2026 · Shift 3। Solution: Prashant Sir, Vijayastra।Source: GD · 28 Apr 2026 · Shift 3. Solution by Prashant Sir, from Vijayastra.