Quantitative Aptitude Quiz for IBPS | IPPB – Set 189

1)A is 25% more efficient than B. C does half the work done by A & B together. If C alone does the work n 30 days, then A alone can do the work in?
A)32days
B)27days
C)22days
D)25(1/2)days
E)None of these

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Answer B)27days
A’s one day’s work:B’s one days work = 125:100 = 5:4
Let A’s & B’s one day’s work be 5x and 4x days
Then C’s one day’s work = 9x/2
= > 9x/2 = 1/30
= > x = ((1/30)*(2/9)) = 1/135
A’s one day’s work = 5/135 = 1/27

2)P can finish a work in 27 days, Q in 9 days and C in 12 days. Q & R start the work but are forced to leave after 4 days. The remaining work done by P in?
A)6 days
B)9 days
C)10 days
D)12 days
E)None of these

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Answer A)6 days
(Q+R)’s one day’s work = 1/9+1/12 = 7/36
Q & R in 3 days = 4*7/36 = 7/9
Remaining work = 1-(7/9) = 2/9
1/27 work is done by A in 1 day.
2/9 work is done by A in 27*2/9 = 6 days

3)If 36 men completed the work in 35 days working 7 hours a day. How many more men should be engaged to finish the rest of the work in 28 days working 5 hours a day?
A)45
B)63
C)32
D)27
E)None of these

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Answer D)27
36*35*7 = 28*5*x
X = 36*35*7/ 28*5
X = 63
63-36 = 27

4)15 men or 30 women can do a piece of work in 25 days. In how many days will 34 men and 27 women do double the work ?
A)8days
B)10 days
C)16 days
D)12 days
E)None of these

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Answer C)16 days
1m = 2w
34m+27w = 34w+34w+27w = 95w
D = 2*25*30/95 = 2*750/95 = 16days

5)Siva can complete the job in 12hrs. Aswin can complete the job in 8 hrs. If Siva worked for 6hrs then quit. How many hours will Aswin alone take to complete the remaining work ?
A)4hrs
B)3hrs
C)5hrs
D)7hrs
E)None of these

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Answer A)4hrs
6/12+x/8= 1
12+3x = 24
3x = 12
X =4

6)A project manager hired 16 men to complete a project in 40 days. However after 30 days he realized that only 4/9 th of the work is complete. How many more men does he need to hire to complete the project on time ?
A)30
B)32
C)44
D)40
E)None of these

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Answer C)44
16*30 / 4/9 = M * 10/5/9
16*30*9/ 4 = M *10*9/5
1080 = 18M
M = 1080/18 = 60
Men required = 60 – 16 = 44

7)20 men can complete a piece of work in 15days and 12 women can complete the same piece of work in 24 days. What is the ratio of amount of work done by 30 men in oneday to the amount of work done by 16 women in 1 day ?
A)6:7
B)9:5
C)7:5
D)2:7
E)None of these

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Answer B)9:5
M : W = 30/20*15 : 16/12*24
= 1/10 : 1/ 18 = 1/5:1/9
Ratio = 9:5

8)X alone can do a piece of work in 5 days. Y can do the same piece of work in 4 days. X and Y are assigned to do the work for Rs.5000.They complete the work in 2 days with the help of Z. How much is to be paid to Z ?
A)Rs.750
B)Rs.620
C)Rs.700
D)Rs.500
E)None of these

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Answer D)Rs.500
Z’s one day work = ½ – [ 1/5+1/4] = 10-4+5/20 = 1/20
Ratio = 1/5:1/4:1/20 = 4/20 : 5/20 : 1/20 = 4:5:1
Z = 5000*1/10 = 500

9)If 20 men can do a piece of work in 42days working 8 hours per day then how many men are required to complete the work, working 5 hours per day in 33 days ?
A)39
B)47
C)32
D)41
E)None of these

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Answer D)41
M = 20*42*8/5*33 = 40.72 = 41

10)P is 20 % more efficient than Q, how much time will they working together take to complete a job which P alone could have done in 20 days ?
A)9 days
B)11 days
C)17days
D)22daya
E)None of these

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Answer B)11 days
P : Q = 100 : 120
10/12 = 20/x
12/10 = x/20
X = 24
Q = 1/24 or 20*120/100 = 24
P+Q = 1/20 + 1/24
= 24+20/480 = 44/480 = 10.91 = 11 days