# AFCAT 2016 Answer Key with Explanations

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## AFCAT 2016 Quantitative Aptitude Answer Key with Explanations

 Q1) A train travels in opposite direction at 36 Km/hr and 45 Km/hr respectively. A man sitting in the slower train passes the faster train in 8 seconds. The length of the faster train is: 1) 80 m2) 120 m3) 160 m4) 180 m Solution: Hence, option 4. Question Level: Easy Q2) A train 110 m long is running with a speed of 60 Km/hr. In what time will it pass a man who is running at 6 Km/hr in the direction opposite to that of the train? 1) 5 sec2) 6 sec3) 7 sec4) 10 sec Solution: Hence, option 2. Question Level: Medium Q3) How long will it take for a sum of money invested at 5% pa at simple interest to increase its value by 40%? 1) 5 years2) 6 years3) 7 years4) 8 years Solution: Hence, option 4. Question Level: Easy Q4) An amount of Rs 735 was divided between A, B and C. If each of them had received Rs 25 less, their shares would have been in the ratio of 1:3:2. The money received by C was? 1) Rs 1952) Rs 2003) Rs 2254) Rs 245 Solution: Hence, option 4. Question Level: Easy Q5) 20 litres of a mixture contains milk and water in the ratio 5:3. If 4 litres of this mixture is replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be? 1) 2:12) 7:33) 8:34) 4:3 Solution: Hence, option 2. Question Level: Medium Q6) If 3 men of 4 women can plough a field in 43 days, in how many days can 7 men and 5 women plough the same field? 1) 18 days2) 10 days3) 12 days4) 15 days Solution:Hence, option 3. Question Level: Easy Q7) A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work? 1) 6 days2) 8 days3) 8.5 days4) 7.5 days Solution: Hence, option 1. Question Level: Easy Q8) A man rows upstream a distance of 9 Km or downstream a distance of 18 Km taking 3 hours each time. The speed of the boat in still water is 1) 7.5 Km/h2) 6.5 Km/h3) 5.5 Km/h4) 4.5 Km/h Solution: Hence, option 4. Question Level: Medium Q9) A man row 30 Km upstream and 44 Km downstream in 10 hours. He can also row 40 Km upstream and 55 Km downstream in 13 hours. Find the rate of the current. 1) 3 Km/hr2) 2 Km/hr3) 4 Km/hr4) 5 Km/hr Solution: Hence, option 1. Question Level: Hard

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