# AFCAT INET (TIME&WORK)30 DECEMBER

## Mathematics Quiz for AFCAT and INET Exam: 26 Dec 2019

Jai Hind Aspirants, Defence Adda is providing you all with this quiz on Mathematics questions for**CDS, AFCAT, CAPF and other Defence Examinations.**

**Q1. If the ratio of the work done by (x + 2) workers in (x – 3) days to the work done by (x + 4) workers in (x – 2) days is 3: 4, then what is the value of x?**

(a) 8

(b) 10

(c) 12

(d) 15

**Q2. Two taps X and Y are fixed to a water tank. If only X is opened, it drains out the full tank of water in 20 minutes. If both X and Y are opened, then they drain out the full tank of water in 15 minutes. If only Y is opened, how long does it take to drain out the full tank of water?**

(a) 30 minutes

(b) 45 minutes

(c) 60 minutes

(d) 90 minutes

**Q3. A stock of food grains is enough for 240 men for 48 days. How long will the same stock last for 160 men ?**

(a) 72 days

(b) 64 days

(c) 60 days

(d) 54 days

**Q4. A field can be reaped by 12 men or 18 women in 14 days. In how many days can 8 men and 16 women reap it?**

(a) 26 days

(b) 24 days

(c) 9 days

(d) 8 days

**Q5. A man makes 80 articles in the 1st hour. His efficiency decreases by 25% in the 2nd hour, increases by 40% in the 3rd hour, decreases by 100/3% in the 4th hour and increases by 100/7% in the 5th hour (his efficiency increases or decreases with respect to the efficiency in previous hour). If he works for 5 hours, then find the average of total article made by the man in 5 hours.**

(a) 70

(b) 67.5

(c) 68.8

(d) 66.7

**Q6. A can do as much work as B and C together can do. A and B can together do a piece of work in 10 hours and C can do it in 50 hrs. Then, time that B needs to do the work alone is –**

(a) 20 hrs.

(b) 24 hrs

(c) 25 hrs

(d) 30 hrs.

**Q7. A tank has a leak which would empty the completely filled cistern in 20 hours. If the tank is full of water and a tap is opened which admits 2 liters of water per minute in the tank, the leak now takes 30 hours to empty the tank. How many liters of water does the tank hold?**

(a) 2400

(b) 4500

(c) 1200

(d) 7200

**Q8. ‘A’ is thrice as good a workman as ‘B’ and takes 10 days less to do a piece of work than ‘B’ takes. The number of days taken by ‘B’ alone to finish the work is**

(a) 12

(b) 15

(c) 20

(d) 30

**Q9. Twelve (12) men work 8 hours per day and require 10 days to build a wall. If 8 men are available, how many hours per day must they work to finish the work in 8 days ?**

(a) 10 hours

(b) 12 hours

(c) 15 hours

(d) 18 hours

**Q10. X and Y together can finish a job in 6 days. X can alone do the same job in 12 days. How long will Y alone take to do the same job?**

(a) 16 days

(b) 12 days

(c) 10 days

(d) 8 days

**Solution:**

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