Hello Aspirants.

Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in **Time and Work**, which is common for IBPS, SBI, RBI, IPPB, SSC, LIC and other competitive exams. We have included Some questions that are repeatedly asked in bank exams !!

**A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?**

A. 18 Days

B. 20 Days

C. 30 Days

D. 36 Days

E. Cannot be determined

###### Answer & Explanation

Answer –**A. 18 Days**

**Explanation :**

Assume working days

A = x, B = 2x, C = 2y, D = 3y

1/x+1/2x = 1/2y+1/3y

And 2x-2y = 16

Solving we get x = 18 days.**A can do a piece of work in 40 days B can do the same piece of work in 60 days. A and B started the work together in the first 15 days A worked with 50% of his efficiency, in the next 15days B worked with 50% of his efficiency. Now in how many days does the remaining work will be completed if both of them work with their full efficiencies?**

A. 1 Day

B. 1.5 Days

C. 2 Days

D. 2.5 Days

E. None

###### Answer & Explanation

**Answer – B. 1.5 Days**

**Explanation :**

15*(1/80+1/60) + 15*(1/120+1/40) + x*(1/40+1/60) = 1

X= 3/2 = 1.5**A can do a piece of work in 30 days, B can do in 45 days and C can do same work alone in 60 days. If on the first****day A worked alone and on the second day A and B worked together and on the third day A and C worked together. If they repeat the cycle as follows then in how many days total work can be completed?**

A. 21 Days

B. 21 7/8 Days

C. 21 5/6 Days

D. 21 4/9 Days

E. None

###### Answer & Explanation

**Answer – C. 21 5/6 Days**

**Explanation :**

First day = 1/30

Second day = 1/30+1/45

Third day = 1/30+1/60

3 days work = 3/30+1/45+1/60 = 25/180

3*7 = 21 days work = 175/180

Now 1/36 work is left which can be completed by A alone

1/36*30 = 5/6

21+5/6 = 21 5/6 Days**Ramu completes 30% of work in 7.5 days. Raju is 50% as efficient as Ramu, Venu is 50% as efficient as Raju. Now Raju and Venu joined with Ramu for the rest of the work then in how many days will take to complete the work?**

A. 9 Days

B. 10 Days

C. 12 Days

D. 15 Days

E. None of these

###### Answer & Explanation

**Answer – B. 9 days**

**Explanation :**

Ramu takes 25 days to complete work.

Raju = 50 days Venu = 100 days

Now 70% work is left

They can complete whole work in = 1/ 1/25+1/50+1/100

100/7 days then 70% in 10 days**A can do a piece of work in 21days. B is 50% more efficient than A. C is twice efficient than B. A started the work alone and worked for some days and left the work then B and C joined together and completed the work in 2 days. Then how many days does A worked alone?**

A. 7 Days

B. 12 Days

C. 14 Days

D. 21 Days

E. None

###### Answer & Explanation

Answer –**B. 12 Days**

**Explanation :**

A = 21 B = 14 C =7

x/21+2*(1/14+1/7) = 1

x = 12.**A can do a piece of work in 60days working 14 hours. B has the same efficiency as of A. A and B started working together. A works 5,6,7 and 8 hours respectively on first four days and repeats the cycle again. Then B has to work how many hours daily if they together completed the work in 80 days?**

A. 1 Hour

B. 2 Hours

C. 3 Hours

D. 4 Hours

E. None of these

###### Answer & Explanation

**Answer – D. 4 Hours**

**Explanation :**

20*(5+6+7+8+4x)/840 = 1

x= 4 hours**Sruthi, Swetha and Swati together can cut 216 Apples of the same size in 3 hours. Number of Apples cut by Sruthi in 9 hours is same as the number of Apples cut by Swati in 7 hours. In one hour, Swati can cut as many Apples more than Swetha as Swetha can cut more than Sruthi.Then the number of Apples cut by Swetha in one hour?**

A. 21

B. 24

C. 27

D. 29

E. None

###### Answer & Explanation

**Answer – B. 24**

**Explanation :**

U+v+W = 72

9U = 7W

W-V = V-U

V = 24**A can type 100 letters in 5 minutes. B and C typing together can type 50 letters in 2 minutes. If all of them working together then can type 90 letters in how many minutes?**

A. 2 minutes

B. 4 minutes

C. 5 minutes

D. 10 minutes

E. None

###### Answer & Explanation

**Answer – A. 2 minutes**

**Explanation :**

(1/5+1/4)

20/9*90/100 = 2**If A and B work together can complete a work in 8/5 days. A started the work alone and completed. 50% of the work and left the work then B started the work alone and finished the rest of work. They took total 5 days to complete the work. Then in how many days B can complete the work if A is more efficient than A?**

A. 1 Day

B. 2 Days

C. 3 Days

D. 4 Days

E. None

###### Answer & Explanation

**Answer – D. 4 Days**

**Explanation :**

1/A+1/B = 5/8

x/A+y/B = 1

x+y = 5

y = 4**A piece of work is to be completed in 100days, 11 Men are employed to do the work it is found that after 50 days only 1/3 rd work is completed. Now additionally how many more Men are to be employed to work to finish the work in time?**

A. 5

B. 6

C. 7

D. 11

E. None

###### Answer & Explanation

Answer –**D. 11**

**Explanation :**

11*50/1/3 = (11+x)*50/2/3

X = 11

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