RRB Technician Grade 3 previous year question
A and B can complete a work in 12 days and 6 days, respectively. They started doing the work together but after 2 days, B had to leave, and A completed the remaining work alone. The remaining work was completed in _____ days.
Asked in RRB Technician Grade 3 (09 Mar 2026 Shift 1) · Quantitative Aptitude
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Correct answer: (D) 6
In 2 days, A and B together complete 2×(1/12+1/6) = 2×3/12 = 1/2 of the work; the remaining half is done by A alone in (1/2)/(1/12) = 6 days.
हिंदी में प्रश्न
A और B किसी कार्य को क्रमशः 12 दिन और 6 दिन में पूरा कर सकते हैं। उन्होंने एक साथ मिलकर कार्य शुरू किया, लेकिन 2 दिन बाद B को कार्य छोड़ना पड़ा तथा A ने अकेले शेष कार्य पूरा किया। संपूर्ण कार्य कितने दिनों में पूरा हुआ?
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सही उत्तर: (D) 6
2 दिनों में A और B मिलकर 2×(1/12+1/6) = 1/2 कार्य पूरा करते हैं; शेष आधा कार्य A अकेले (1/2)/(1/12) = 6 दिनों में पूरा करता है।
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