Aptitude - Time and Work
1.
3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work ?
Answer
3 men ≡ 5 women ⇒ (6 men + 5 women) ≡ 15 women
Now, 5 women can do it in 12 days.
1 women can do it in (12 x 5) days.
15 women can do it in 12 x 515 days = 4 days.
Answer :
Option AExplanation :
3 men ≡ 5 women ⇒ (6 men + 5 women) ≡ 15 women
Now, 5 women can do it in 12 days.
1 women can do it in (12 x 5) days.
15 women can do it in 12 x 515 days = 4 days.
2.
The rates of working of A and B are in the ratio of 3 : 4. The number of days taken by them to finish the work are in the ratio :
Answer
Ratio of times taken = 13 : 14 = 4 : 3
Answer :
Option CExplanation :
Ratio of times taken = 13 : 14 = 4 : 3
3.
A and B can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do it in 20 days. A alone can do the work in :
Answer
(A + B)'s 1 day's work = 112; (B + C)'s 1 day's work = 115; (C + A)'s 1 day's work = 120
2(A + B + C)'s 1 day's work =
112 + 115 + 120 
= 5 + 4 + 360 = 15
⇒ (A + B + C)'s 1 day's work = 110
⇒ A's 1 day's work = 110 − 115 = 130
⇒ A alone can do the work in 30 days.
Answer :
Option CExplanation :
(A + B)'s 1 day's work = 112; (B + C)'s 1 day's work = 115; (C + A)'s 1 day's work = 120
2(A + B + C)'s 1 day's work =
112 + 115 + 120 = 5 + 4 + 360 = 15⇒ (A + B + C)'s 1 day's work = 110
⇒ A's 1 day's work =
110 − 115 = 130⇒ A alone can do the work in 30 days.
4.
8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?
Answer
2 children ≡ 1 man
∴ (8 children + 12 men) ≡ (4 + 12) men = 16 men
Let the required nmuber of days be x Less men, more days
12 : 16 :: 9 : x ⇒ x = 16 x 912 = 12 days
Answer :
Option DExplanation :
2 children ≡ 1 man
∴ (8 children + 12 men) ≡ (4 + 12) men = 16 men
Let the required nmuber of days be x Less men, more days
12 : 16 :: 9 : x ⇒ x = 16 x 912 = 12 days
5.
A, B and C completed a piece of work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio 5 : 6 : 4, how much amount will be received by A ?
Answer
Ratio of wages of A, B, C = (6 x 5) : (4 x 6) : (9 x 4) = 30 : 24 : 36 = 5 : 4 : 6
A's share = Rs. 1800 x 515 = Rs. 600
Answer :
Option BExplanation :
Ratio of wages of A, B, C = (6 x 5) : (4 x 6) : (9 x 4) = 30 : 24 : 36 = 5 : 4 : 6
A's share = Rs.
1800 x 515 = Rs. 600 Jump to page number :