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1) 25 men can complete a piece of work in 16 days. After 4 days from the start of the work, some men left. If the remaining work was completed by the remaining men in 15 days, then find the men left after 4 days from the start of the work?
a) 3 men
b) 4 men
c) 6 men
d) 5 men
e) None of these
2) 10 women and 6 men can do a work in 5 days. 7 women and 8 men can do a same work in 6 days. How long will 12 women and 3 men can take to do the work?
a) 4 ¾ days
b) 5 ½ days
c) 3 5/6 days
d) 6 ¼ days
e) None of these
3) 20 men can complete a work in 12 days. 6 days after they started the work, 5 men left the job. How many days will it take to complete the remaining work?
a) 10 days
b) 7 days
c) 8 days
d) 6 days
e) None of these
4) A and B undertook to complete a piece of work for Rs. 4500. A can do it in 12 days, B can do it in 16 days and with the help of C, they complete the work in 5 1/3 days. Find the share of C?
a) Rs. 850
b) Rs. 1000
c) Rs. 600
d) Rs. 700
e) None of these
5) If 4 men or 7 women can reap a field in 49 days, then what will be the time taken by 6 men and 14 women to reap the field?
a) 12 days
b) 10 days
c) 16 days
d) 14 days
e) None of these
6) Manohar and Ragu can separately do a piece of work in 15 and 18 days respectively. They worked together for 6 days, after which Ragu was replaced by Ranjith. If the work was finished in next 1 1/3 days, then find the number of days in which Ranjith alone could do the work?
a) 8 ¾ days
b) 9 5/6 days
c) 10 2/5 days
d) 7 ½ days
e) None of these
7) A, B and C together complete the work in 4 32/37 days while B alone can complete the work in 18 days and C alone can complete the same work in 15 days. How many days A can take to complete the work alone?
a) 14 days
b) 13 days
c) 12 days
d) 15 days
e) None of these
8) A can complete three-fifth of the work in 6 days and B can complete the two-seventh of the same work in 4 days. Then in how many days A and B together complete the work?
a) 6 ¾ days
b) 4 7/8 days
c) 5 5/6 days
d) 6 ½ days
e) None of these
9) P can do a piece of work in 21 days. Q is 40 percent more efficient than P. Then in how many days the work gets completed when both are working simultaneously?
a) 10 days
b) 8 ¾ days
c) 9 ½ days
d) 12 days
e) None of these
10) (x-3) person can do a work in x days and (x+3) person can do the same work in (x-5) days. Then in how many days can (x+5) person finish the work?
a) 12 days
b) 9 days
c) 8 days
d) 10 days
e) None of these
Answers :
1). Answer: d)
Explanation:
Total work = men*days
Total units of work = 25*16 = 400 units
Work done in 4 days = 25*4 = 100 units
Remaining work = 400 – 100 = 300 units
Let the number of men left after 4 days be x,
According to the question,
300/15 = 25 – x
20 = 25 – x
X = 5 men
After 4 days from the start of the work, 5 men left the job.
2). Answer: a)
Explanation:
Total work = (men (or) women)*days
Work equal,
(10w + 6m)*5 = (7w + 8m)*6
50w + 30m = 42w + 48m
8w = 18m
4w = 9m = > 1w = (9/4) m
10w + 6m = 10*(9/4) m + 6m = (57/2) m
12w + 5m = 12*(9/4) m + 3 m = 30 m
Women days
(57/2) 5
30 ?
(57/2)*5 = 30x
X = (57/2)*(5/30) = 4 9/12 = 4 ¾ days
3). Answer: c)
Explanation:
Total work = men * days
Total work = 20*12 = 240
6 days work = 20*6 = 120
Remaining work = 240 – 120 = 120 work
Now, the total men = 20 – 5 = 15 men
Remaining work can be completed in,
= > 120/15 = 8 days
Remaining work gets completed in 8 days.
4). Answer: b)
Explanation:
1/12 + 1/16 + 1/C = 3/16
1/C = (3/16) – (1/12 + 1/16)
(1/C) = (3/16) – (7/48) = 1/24
C can do it in 24 days.
Efficiency of A, B and C = (1/12) : (1/16) : (1/24) = 4 : 3 : 2
9’s = 4500
1’s = 500
The share of C = Rs. 1000
5). Answer: d)
Explanation:
Shortcut:
Men women days
4 7 49
6 14 ?
Required days = (4*7*49)/(56 + 42) = (4*7*49)/98
= > 14 days
(Or)
4 men = 7 women
1 men = (7/4) women
6 m + 14 w = 6*(7/4) w + 14 w = 49/2 w
Women days
7 49
49/2 ?
= > (7*49*2)/49 = 14 days
6). Answer: d)
Explanation:
Manohar and Ragu’s one day work = (1/15) + (1/18) = 11/90
Manohar and Ragu’s 6 day work = (11/90)*6 = 11/15
Remaining work 4/15 done by Manohar and Ranjith
Manohar and Ranjith finished it in 1 1/3 days
(4/15)*(Manohar + Ranjith)’s whole work = (4/3)
(Manohar + Ranjith)’s whole work = (4/3)*(15/4) = 5 days
Ranjith’s one day work = (1/5) – (1/15) = 2/15
Ranjith alone can complete the work in 7 ½ days
7). Answer: c)
Explanation:
A, B and C together complete the work in = 4 32/37 days = 180/37 days
(A + B + C)’s one day work = 37/180
B’s one day work = 1/18
C’s one day work = 1/15
A’s one day work = (37/180) – (1/18 + 1/15)
= > 37/180 – 11/90 = 15/180 = 1/12
A can take to complete the work alone in 12 days
8). Answer: c)
Explanation:
A can complete 3/5th of the work = 6 days
A can complete the whole work in = 6*(5/3) = 10 days
B can complete 2/7th of the work = 4 days
B can complete the whole work in = 4*(7/2) = 14 days
(A + B)’s one day work = (1/10) + (1/14) = 24/(10*14) = 6/35
A and B together can complete the work in, 35/6 = 5 5/6 days
9). Answer: b)
Explanation:
Efficiency ratio = > Q : P = 140 : 100 = 7 : 5
Days ratio = > Q : P = 5 : 7
P can do a piece of work in 21 days
7’s = 21 = > 1’s = 3
So Q can complete the work in 15 days
= > 1/21 + 1/15
= > 36/(21*15) = 4/35
P and Q together can complete the work in 35/4 = 8 ¾ days
10). Answer: b)
Explanation:
(x + 3) person can do the work in = (x – 5)
(x – 3)*x = (x + 3) (x – 5)
X2 – 3x = x2 – 5x + 3x – 15
X = 15
Person days
12 15
20 ?
(12*15) = 20*y
Y = 180/20 = 9 days
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