Three men, four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

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BANK PO Exam (SBI) 2003 click here to view all questions

Three men, four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

A8

B7

C12

DCannot be determined

rupa ? Jan 31 '2020 at 22:21

Correct answer is: 7

Explanation:

 \(\text{2 men = 1 woman}\)

\(\therefore \text{1 man =} \frac{1}{2} \text{ woman}\)

\(\therefore \text{3 man =} \frac{3}{2} \text{ woman}\)

\(\text{Again, 2 children = 1 man}\)
\(= \frac{1}{2} \text{ woman}\)

\(\therefore \text{1 child = } \frac{1}{4} \text{ woman}\)

\(\therefore \text{6 children = }\frac{6}{4} = \frac{3}{2} \text{women}\)

Now, three men, four women and six children
\(= \frac{3}{2} + 4 + \frac{3}{2} =\text{ 7 women}\)

Hence, 7 women complete the work in 7 days. 

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A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone ?

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BANK PO Exam (Ibps Bank) 2012 click here to view all questions

A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone ?

A2 : 5

B2 : 7

C3 : 7

D1 : 5

Akilesh Kharvi ? May 29 '2017 at 22:31

Answer is  1 : 5

Explanation:

(A + B)’s 1 day’s work = \(\frac{1}{20}\)

(B + C)’s 1 day’s work = \(\frac{1}{30}\)

(C + A)’s 1 day’s work = \(\frac{1}{40}\)

On adding,2(A + B + C)’s 1 day’s work

= \(\frac{1}{20}+\frac{1}{30}+\frac{1}{40}\)

= \(\frac{6+4+3}{120}\) = \(\frac{13}{120}\)

(A + B + C)’s 1 day’s work= \(\frac{13}{240}\)

A’s 1 day’s work

= \(\frac{13}{240}-\frac{1}{30}\)= \(\frac{13-8}{240}\)

= \(\frac{5}{240}= \frac{1}{48}\)

C’s 1 day’s work

= \(\frac{13}{240}-\frac{1}{20}= \frac{13-12}{240} = \frac{1}{240}\)

Required ratio = 48 : 240 = 1 : 5

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Four examiners can examine a certain number of answer papers in 10 days by working for 5 hours a day. For how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days ?

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BANK PO Exam (Punjab And Sind Bank) 2011 click here to view all questions

Four examiners can examine a certain number of answer papers in 10 days by working for 5 hours a day. For how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days ?

A 8 hours

B$$7\frac{1}{2} \text{ hours}$$

C10 hours

D $$8\frac{1}{2} \text{ hours}$$

Akilesh Kharvi ? May 29 '2017 at 21:58

Answer is : 10 hours

Explanation:

 

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6 women and 6 men together can complete a piece of work in 6 days. In how many days can 15 men alone complete the piece of work if 9 women alone can complete the work in 10 days ?

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BANK PO Exam (Punjab And Sind Bank) 2011 click here to view all questions

6 women and 6 men together can complete a piece of work in 6 days. In how many days can 15 men alone complete the piece of work if 9 women alone can complete the work in 10 days ?

A 6

B5

C7.2

D4

Akilesh Kharvi ? May 29 '2017 at 22:13

Answer is 4

Explanation:

9 women can complete the work in10 days.

6 women can complete the work in \(\frac{10\times9}{6}\) = 15 days.

Part of work done by 6 women = \(\frac{6}{15}\) =\(\frac{2}{5}\)

Part of work done by 6 men =\( 1 - \frac{2}{5} = \frac{3}{5}\)

\(\frac{3}{5}\) part of work done by 6 men in 1 days.

1 part of work done by 6 men in  \(\frac{6}{3}\) × 5= 10 days.

 15 men can complete the work in \(\frac{10\times6}{15}\)

= 4 days

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Two men alone or three women alone can complete a piece of work in 4 days. In how many days can 1 woman and one man together complete the same piece of work ?

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BANK PO Exam (Corporation Bank) 2011 click here to view all questions

Two men alone or three women alone can complete a piece of work in 4 days. In how many days can 1 woman and one man together complete the same piece of work ?

A6 days

B $$\frac{24}{5} \text { days}$$

C$$\frac{12}{1.75}\text{ days}$$

DCannot be determined

Akilesh Kharvi ? May 29 '2017 at 21:45

Answer is \(\frac{24}{5} \text { days}\)

Explanation:

2 men = 3 women

1 man + 1 woman

= \(\Big(\frac{3}{2}+1\Big)\) women = \(\frac{5}{2}\) women

\(\therefore M_1D_l = M_2D_2\)

=> \(3 \times 4 = \frac{5}{2}\times D_2\)

=> \(D_2 =\frac{3\times4\times2}{5}= \frac{24}{5}\) days

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4 girls can do a piece of work in 8 days, 3 boys can do the same piece of work in 9 days, 7 men do the same piece of work in 2 days and 5 women can do the same piece of work in 4 days. Who is least efficient ?

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BANK PO Exam (Union Bank of India) 2001 click here to view all questions

4 girls can do a piece of work in 8 days, 3 boys can do the same piece of work in 9 days, 7 men do the same piece of work in 2 days and 5 women can do the same piece of work in 4 days. Who is least efficient ?

ABoys

BGirls

CWomen

DMen

Akilesh Kharvi ? May 29 '2017 at 21:33

Answer is Girls

Explanation:

\(4 \times 8\) girls = \(3 \times 9\) boys= \(7 \times 2\) men = \(5 \times 4\) women

32 girls = 27 boys = 14 men= 20 women

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A water tank has three taps A, B and C.Tap A, when opened, can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours and tap C, when opened, can empty the water tank alone in 3 hours. If taps A, B and C are opened simultaneously how long will it take to fill the tank completely ?

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BANK PO Exam (Indian Bank) 2011 click here to view all questions

A water tank has three taps A, B and C.Tap A, when opened, can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours and tap C, when opened, can empty the water tank alone in 3 hours. If taps A, B and C are opened simultaneously how long will it take to fill the tank completely ?

A10 hours

B17 hours

C18 hours

D12 hours

Akilesh Kharvi ? May 29 '2017 at 18:52

Anwer is : 12 hours

Explanation:

Part of the tank filled in 1 hour when all the taps are opened

= \(\frac{1}{4}+\frac{1}{6}-\frac{1}{3}\)

= \(\frac{3+2-4}{12}\)

=\(\frac{1}{12}\)

Hence, the tank will be filled in 12 hours.

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Vikas gets Rs 350 for every day that he works. If he earns Rs 9,800 in a month of 31 days, for how many days did he work ?

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BANK PO Exam (PNB Bank) 2010 click here to view all questions

Vikas gets Rs 350 for every day that he works. If he earns Rs 9,800 in a month of 31 days, for how many days did he work ?

A25 days

B30 days

C24 days

D28 days

Akilesh Kharvi ? May 29 '2017 at 18:40

Answer is : 28 days

Explanation:

Number of days = \(\frac{9800}{350}\)= 28

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2 men can complete a piece of work in 6 days. 2 women can complete the same piece of work in 9 days, where as 3 children can complete the same piece of work in 8 days. 3 women and 4 children worked together for 1 day. If only men were to finish the remaining work in 1 day, how many total men would be required ?

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BANK PO Exam (United Bank of India) 2010 click here to view all questions

2 men can complete a piece of work in 6 days. 2 women can complete the same piece of work in 9 days, where as 3 children can complete the same piece of work in 8 days. 3 women and 4 children worked together for 1 day. If only men were to finish the remaining work in 1 day, how many total men would be required ?

A 4

B8

C6

DCannot be determined

Akilesh Kharvi ? May 29 '2017 at 18:34

Answer is : 8

Explanation:

 \(2 \times 6\) men = 18 women = 24 children

2 men = 3 women = 4 children

3 women + 4 children = 4 men

part of work done in 1 day by 4 men = \(\frac{1}{3}\)

Remaining \(\frac{2}{3}\) work will be finished by 8 men in 1 day.

Hence, 8 men would be required.

 

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8 men can complete a piece of work in 20 days. 8 women can complete the same workin 32 days. In how many days will 5 men and 8 women together complete the samework ?

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BANK PO Exam (Central Bank) 2010 click here to view all questions

8 men can complete a piece of work in 20 days. 8 women can complete the same workin 32 days. In how many days will 5 men and 8 women together complete the samework ?

A16 days

B12 days

C14 days

D10 days

Akilesh Kharvi ? May 29 '2017 at 15:44

Answer is : 16 days

Explanation:

8 × 20 men = 8 × 32 women

5 men = 8 women

5 men + 8 women =16 women

\(M_1D_1 = M_2D_2\)

\(8 × 32 = 16 × D2\)

\(D2= \frac{8\times32}{16} = \text{16 days}\)

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3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work ?

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BANK PO Exam (Bank Of Baroda) 2010 click here to view all questions

3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work ?

A 3 days

B5 days

C2 days

D4 days

Akilesh Kharvi ? May 29 '2017 at 15:9

Answer is : 3 days

Explanation:

18 men = 5 × 18 = 90 women

1 man = 5 women

4 men +10 women = 30 women

\(M_1D_1 = M_2D_2\)

\(5 \times 18 = 30 D_2\)

D2 = \(\frac{5\times18}{30}= 3 \text{ days}\) 

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6 men can complete a piece work in 12 days. 8 women can complete the same piece of work in 18 days where as 18 children can complete the piece of work in 10 days. 4men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day howmany men would be required totally ?

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BANK PO Exam (Bank Of India) 2010 click here to view all questions

6 men can complete a piece work in 12 days. 8 women can complete the same piece of work in 18 days where as 18 children can complete the piece of work in 10 days. 4men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day howmany men would be required totally ?

A 36

B24

C18

DCannot be determined

Akilesh Kharvi ? May 29 '2017 at 14:52

Answer is : 36

Explanation:

72 men = 144 women = 180 children

2 men = 4 women = 5 children

4 men +12 women + 20 children = 4 men+ 6 men+ 8 men = 18 men

When 6 men do 1 work in 12 days18 men will do the same in 4 days.

 In 2 days half work will done.

Remaining work = \(\frac{1}{2}\)

\(\therefore \frac{M_1 D_1}{W_1} = \frac{M_2 D_2}{W_2}\)

=> \(\frac{1}{2}\times 6 × 12 = l \times M_2\)

=> \(M_2 = 36 = \) Number of men

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