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: