Answer : Option 4
9M = 12W ⇒6M=8W
Hence, 6M + 12W = 8W + 12W = 20 W. Since 12W can do a piece of work in 30 days, so 20W can do the same work in (12 × 30)/20 = 18 days.
If either 24 men or 36 women can reap a field in 40 days, then 16 men and 16 women will reap the field in
1. 18 days
2. 12 days
3. 16 days
4. 36 days
5. 9 days
Answer : Option 4
Let the number of men originally = M. According to the given condition, 24M = 36W ⇒2M = 3W
16M + 16W = 24W + 16W = 40W. Since 36 women can reap a field in 40 days, so 40 women can reap the same field in ( 36 × 40)/40 = 36 days.
A garrison of 850 men has provisions for 30 weeks. If at the end of 10 weeks, they are re-inforced by 850 men, how long will the provisions last?
1. 8 weeks
2. 12 weeks
3. 14 weeks
4. 15 weeks
5. 10 weeks
Answer : Option 5
850 × 30 = 850 × 10 + 1700 × W ⇒ W = 10 weeks
If 7 men can reap 70 hectares in 35 days, how many hectares can 34 men reap the same field in 21 days?
If 16 men can dig a trench 150 m long, 2 m wide and 3 m deep in 4 days of 15 hours each, in how many days of 7 hours each will 15 men dig trench 100 m long, 3 m wide and 3 m deep?
Answer : Option 2
Volume of trench dug before= 150 × 2 × 3 = 900 and new volume= 100 × 3 × 3 = 900. As both are same, it is not going to make any difference. So, new days= 4 × (16/15) × (15/17) = 9(1/7) days
A M.E.S contractor undertake to renew the floor of a building within 40 days and immediately employ 27 men upon it. At the end of 31 days the work is only half done. How many more men should he employ to complete the work in time?
1. 26 men
2. 36 men
3. 46 men
4. 56 men
5. 66 men
Answer : Option 5
Days left are (40 – 31) = 9. By chain rule, total no. of men required = 27 × (31/9) = 93, therefore additional men required = 93 – 27 =66 men
Five men and three boys can do a piece of work in 15 days while 7 men and 8 boys can do the same work in 8 days. How long will 12 men and 8 boys take to do it?
1. 5 days
2. 7 days
3. 6 days
4. 8 days
5. None of these
Answer : Option 3
(5M + 3B) × 15 = (7M + 8B) × 8
⇒ 75M + 45B = 56M + 64B
⇒ M = B
So 8 men can do a work in 15 days. Hence(12 + 8)
⇒ 20men can do the same work in 6 days