RRB Technician Grade III · 30 Dec 2024 · Shift 2 — Mathematics
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1 Mathematics questions from RRB Technician Grade III · 30 Dec 2024 · Shift 2, with answers and Hindi and English explanations.
1.
A किसी कार्य को 4 दिन में पूरा कर सकता है। B इसे 20 दिन में कर सकता है। C की सहायता से, उन्होंने 2 दिन में कार्य पूरा कर लिया। C अकेले इसे ______________ दिन में कर सकता है।
A can complete a work in 4 days. B can do it in 20 days. With the help of C, they completed the work in 2 days. C alone can do it in ______________ days.
- (A)5
- (B)4
- (C)6
- (D)7
Show answer and explanation
Answer: (A)
5
A + B का 1 दिन का काम = 1/4 + 1/20 = 6/20 = 3/10। A + B + C का 1 दिन का काम = 1/2। अतः C का 1 दिन का काम = 1/2 − 3/10 = 2/10 = 1/5, यानी C अकेला 5 दिन लेगा। अतः उत्तर 5 है।
A + B together do 1/4 + 1/20 = 6/20 = 3/10 of the work per day. A + B + C together do 1/2 per day. So C does 1/2 − 3/10 = 2/10 = 1/5 per day and alone takes 5 days. So the answer is 5.
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