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Quant Quiz - Caselet DI - 20 January 2023

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Question 1

Direction: Read the given paragraph and answer the following questions.
A alone can do a piece of work in 20 days, B alone can do the same work in 30 days, C alone can do the same work in 40 days. The ratio of efficiency of A and D is 3 : 5. C and E together can do the same work in 15 days. A and C started the work together and worked for 4 days and then B and D started the work together and worked for 3 days. After 7 days A and E worked for alternate day (A started the work first) and they completed the work.

What is the ratio of work done by A and C together in 4 days and work done by B and D together in 3?

Question 2

Direction: Read the given paragraph and answer the following questions.
A alone can do a piece of work in 20 days, B alone can do the same work in 30 days, C alone can do the same work in 40 days. The ratio of efficiency of A and D is 3 : 5. C and E together can do the same work in 15 days. A and C started the work together and worked for 4 days and then B and D started the work together and worked for 3 days. After 7 days A and E worked for alternate day (A started the work first) and they completed the work.
In how many days, the remaining work was done by A and E together?

Question 3

Direction: Read the given paragraph and answer the following questions.
A alone can do a piece of work in 20 days, B alone can do the same work in 30 days, C alone can do the same work in 40 days. The ratio of efficiency of A and D is 3 : 5. C and E together can do the same work in 15 days. A and C started the work together and worked for 4 days and then B and D started the work together and worked for 3 days. After 7 days A and E worked for alternate day (A started the work first) and they completed the work.
If A, B and C worked for 5 days, then in how many days D and E together can complete the remaining work ?

Question 4

Direction: Read the given paragraph and answer the following questions.
A alone can do a piece of work in 20 days, B alone can do the same work in 30 days, C alone can do the same work in 40 days. The ratio of efficiency of A and D is 3 : 5. C and E together can do the same work in 15 days. A and C started the work together and worked for 4 days and then B and D started the work together and worked for 3 days. After 7 days A and E worked for alternate day (A started the work first) and they completed the work.
What is the ratio of efficiency of B and C together to the efficiency of A and D together?

Question 5

Direction: Read the given paragraph and answer the following questions.
A alone can do a piece of work in 20 days, B alone can do the same work in 30 days, C alone can do the same work in 40 days. The ratio of efficiency of A and D is 3 : 5. C and E together can do the same work in 15 days. A and C started the work together and worked for 4 days and then B and D started the work together and worked for 3 days. After 7 days A and E worked for alternate day (A started the work first) and they completed the work.
Work done after 7 days is approximately what percent more/less than the work done in first 7 days according to given statement?
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