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Awards %26 Honours

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Q 1. A water tank has three taps {tex} A , B {/tex} and {tex} C {/tex}. Tap {tex} A {/tex}, 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 {tex} C , {/tex} when opened, can empty the water tank alone in 3 hours. If taps A, {tex} B {/tex} and {tex} C {/tex} are opened simultaneously, how long will it take to fill the tank completely?

10 hours

8 hours

18 hours

12 hours

None of these

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Q 2. Sakshi can do a piece of work in 20 days. Tanya is {tex} 25 \% {/tex} more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

15

16

18

25

None of these

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Q 3. 12 men take 18 days to complete a job whereas 12 women in 18 days can complete {tex} \frac { 3 } { 4 } {/tex} of the same job. How many days will 10 men and 8 women together take to complete the same job?

6

{tex} 13 \frac { 1 } { 2 } {/tex}

12

Data inadequate

None of these

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Q 4. Tap {tex} 'A' {/tex} can fill a water tank in 25 minutes, tap {tex} ' B ' {/tex} can fill the same tank in 40 minutes and tap {tex} 'C'{/tex} can empty that tank in 30 minutes. If all the three taps are opened together, in how many minutes will the tank be completely filled up or emptied?

{tex} 3 \frac { 2 } { 13 } {/tex}

{tex} 15 \frac { 5 } { 13 } {/tex}

{tex} 8 \frac { 2 } { 13 } {/tex}

{tex} 31 \frac { 11 } { 19 } {/tex}

None of these

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Q 5. A and B can do a job is 16 days and 12 days respectively. 4 days before finishing the job , A joins B. B has started the work alone. Find how many days B has worked alone?

6 days

4 days

5 days

7 days

None of these

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Q 6. A sum of {tex} \mathrm {Rs.} 25 {/tex} was paid for a work which {tex} A {/tex} can do in 32 days, {tex} B {/tex} in 20 days, {tex} B {/tex} and {tex} C {/tex} in 12 days and {tex} D {/tex} in 24 days. How much did C receive if all the four work together?

{tex}\mathrm {Rs.}{/tex} {tex}\frac{14}{3}{/tex}

{tex} \mathrm {Rs.} {/tex} {tex} \frac {16}{3} {/tex}

{tex} \mathrm {Rs.} \frac { 15 } { 3 } {/tex}

{tex} \mathrm{Rs.} \frac { 17 } { 3 } {/tex}

None of these

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Q 7. Twenty-four men complete a work in sixteen days. Thirty-two women can complete the same work in twenty- four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?

48

24

36

16

None of the above

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Q 8. A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by {tex} \mathrm { C } {/tex} in 2 days. If they get {tex} \mathrm{Rs.} 450 {/tex} for the whole work, how should they divide the money?

{tex} \mathrm Rs. 225 {/tex}, {tex} \mathrm Rs. 150 {/tex}, {tex} \mathrm Rs.75 {/tex}

{tex} \mathrm Rs. 250 {/tex}, {tex} \mathrm Rs. 100 {/tex}, {tex} \mathrm Rs. 100 {/tex}

{tex} \mathrm Rs. 200 {/tex}, {tex} \mathrm Rs. 150 {/tex}, {tex} \mathrm Rs. 100 {/tex}

{tex} \mathrm Rs. 175 {/tex}, {tex} \mathrm Rs. 175 {/tex}, {tex} \mathrm Rs. 100 {/tex}

None of these

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Q 9. 12 men take 18 days to complete a job whereas 12 women in 18 days can complete {tex} \frac { 3 } { 4 } {/tex} of the same job. How many days will 10 men and 8 women together take to complete the same job?

6

{tex} 13 \frac { 1 } { 2 } {/tex}

12

Data inadequate

None of these

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Q 10. A alone would take 8 days more to complete the job than if both A and B would together. If B worked alone, he took {tex} 4 \frac { 1 } { 2 } {/tex} days more to complete the job than A and B worked together. What time would they take if both A and B worked together?

7 days

5 days

4 days

6 days

None of these

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Q 11. Machine A can print one lakh books in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All the three machines start job at 9.00 am. A breaks down at 11.00 am and the other two machines finish the job. {tex}\mathrm{Approximately}{/tex} at what time will the job be finished?

{tex} 12.00 {/tex} noon

{tex} 1.30 {/tex} pm

{tex} 1.00 {/tex} pm

{tex} 11.30 {/tex} am

None of these

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Q 12. Two fill pipes {tex} A {/tex} and {tex} B {/tex} can fill a cistern in 12 and 16 minutes respectively. Both fill pipes are opened together, but 4 minutes before the cistern is full, one pipe {tex} A {/tex} is closed. How much time will the cistern take to fill?

{tex} 9 \frac { 1 } { 7 } \min {/tex}

{tex} 3 \frac { 1 } { 3 } \mathrm { min } {/tex}

{tex} 5 \mathrm { min } {/tex}

{tex} 3 \mathrm { min } {/tex}

None of these

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Q 13. 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?

6

{tex} 7 \frac { 2 } { 3 } {/tex}

{tex} 6 \frac { 2 } { 3 } {/tex}

{tex} 6 \frac { 1 } { 3 } {/tex}

None of these

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Q 14. A contractor undertook to do a piece of work in 9 days. He employed certain number of labourers but 6 of them were absent from the very first day and the rest could finish the work in only 15 days. Find the number of men originally employed.

15

6

13

9

None of these

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Q 15. A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already {tex} 1 / 2 {/tex} full and both the taps are opened together, will the tank be filled or emptied? How long will it take before the tank is either filled or emptied completely as the case may be?

Emptied; {tex} 16 \mathrm { min } {/tex}

Filled; {tex} 8 \mathrm { min } {/tex}

Emptied; {tex} 8 \mathrm { min } {/tex}

Filled; {tex} 12 \mathrm { min } {/tex}

None of these

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Q 16. 'A' completes a work in 12 days. 'B' completes the same work in 15 days. 'A' started working alone and after 3 days B joined him. How many days will they now take together to complete the remaining work?

5

8

6

4

None of these

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Q 17. {tex}A{/tex} can finish a work in 18 days and {tex} B {/tex} can do the same work in half the time taken by {tex}A{/tex}. Then, working together, what part of the same work can they finish in a day?

{tex} \frac { 1 } { 6 } {/tex}

{tex} \frac { 1 } { 9 } {/tex}

{tex} \frac { 2 } { 5 } {/tex}

{tex} \frac { 2 } { 7 } {/tex}

None of these

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Q 18. 12 Men can complete one-third of the work in 8 days. In how many days can 16 men complete that work?

18

12

24

Cannot be determined

None of these

12 men can complete the whole work in 8 x 3 = 24 days. Therefore, required number of days for 16 men to complete the same work = (12 x 24)/16 = 18 days

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Q 19. A and B can do a job in 16 days and 12 days respectively. B has started the work alone 4 days before finishing the job, A joins B. How many days has B worked alone?

6 days

4 days

5 days

7 days

None of these

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Q 20. Two pipes {tex} A {/tex} and {tex} B {/tex} when working alone can fill a tank in 36 min. and 45 min. respectively. A waste pipe {tex} C {/tex} can empty the tank in 30 min. First {tex} A {/tex} and {tex} B {/tex} are opened. After 7 min. {tex} C {/tex} is also opened. In how much time will the tank be full?

{tex} 1/ 60 {/tex}

{tex}1 / 30 {/tex}

{tex}7 / 20 {/tex}

{tex}13 / 20 {/tex}

None of these

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Q 21. A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days. In how many days can A & B together make 100 baskets?

3 days

5 days

2{tex} \frac { 1 } { 2 } {/tex} days

3{tex} \frac { 1 } { 2 } {/tex} days

None of these

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Q 22. Three taps {tex} A , B {/tex} and {tex} C {/tex} can fill a tank in 12, 15 and 20 hours respectively. If {tex} A {/tex} is open all the time and {tex} B {/tex} and {tex} C {/tex} are open for one hour each alternately, then the tank will be full in :

6 hrs

6{tex} \frac { 2 } { 3 } {/tex} hrs

7 hrs

7{tex} \frac { 1 } { 2 } {/tex} hrs.

None of these

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Q 23. Computer A takes 3 minutes to process an input while computer B takes 5 minutes. If computers A, B and C can process an average of 14 inputs in one hour, how many minutes does Computer C alone take to process one input?

10

4

6

8

None of these

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Q 24. 16 men can complete a piece of work in 8 days. In how many days can 12 men complete the same piece of work?

10

9{tex} \frac { 1 } { 3 } {/tex}

10{tex} \frac { 2 } { 3 } {/tex}

Cannot be determined

None of these

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Q 25. 15 persons complete a job in 3 days. How many days will 10 persons take to complete the same job?

2

5

2{tex} \frac { 2 } { 3 } {/tex}

3{tex} \frac { 1 } { 4 } {/tex}

4{tex} \frac { 1 } { 2 } {/tex}

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