Q1 . If a wall can be built in 10 days 20 women and 10 men working together for 8 hours everyday.In how many days can the work be completed if by 20 women working 4 hours a day?(A women is twice as effecient as a man)
1. 45 days
2. 25 days
3. 35 days
4. 20 days
Correct Answer is
25 days
SOLUTION
Here 10 men =5 women
work =10 daysx(20+5)womenx 8 hours=2000
days to complete=2000/(20x4)=25 days
Q2 . A and B can complete the work in 15 and 20 days respectively.They work together and complete the work.The amount paid for the work is 2800.the one who works longer will get paid more.Find the As share of the money?
1. Rs 1600
2. Rs 1800
3. Rs 1200
4. Rs 1500
Correct Answer is
Rs 1600
SOLUTION
here the time taken will be in the ratio of 15:20 or 3:4
The work done will be in the ratio 4:3
As share will be 4/7x2800= Rs 1600
Q3 . A,B,C and D can complete the work in 10,20,30 and 40 days respectively.How long will it take for them to complete the work if they work together?
1. 120 days
2. 120/25 day
3. 120/35 day
4. 130/25 day
Correct Answer is
120/25 day
SOLUTION
The work done by A,B,C,D in one day is 1/10+1/20+1/30+1/40=25/120
time taken is 1/(25/120)=120/25 days
Q4 . If 15 men and 20 women can complete the work of building a wall in 10 days.In how many days can 30 women build two walls ?(a women is 50% more effecient than a man)
1. 10 days
2. 12 days
3. 15 days
4. 20 days
Correct Answer is
20 days
SOLUTION
Women is 50 % more efficient so 15 men=10 women
men days to build wall=30x10=300
to build two walls 600 men days
time taken=600/30=20 days
Q5 . If A and B can complete the work in 10 and 15 days respectively.What will be the total no of days required to complete the work if A and B work together for 2 days and then A alone works to complete the work?
1. 6.67 days
2. 6 days
3. 8 days
4. 5 days
Correct Answer is
6.67 days
SOLUTION
the work done by A and B done in one day is 1/10+1/15=5/30
In two days 5/30x2=10/30
Remaining work is 1-10/30=20/30
work done by A is 10 days
remaining work will be done in 20/30 x10=20/3=6.67 days