Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz on Time and Work based problems for Prelims exam of SBI Clerk 2018.
1. Charu is thrice as good a workwoman as Sunita and takes 10 days less to do a work than Sunita takes. In how many days Sunita alone can do the work?
1) 15
2)12
3)10
4)20
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 3M * ( D – 10) = M * D
3D – 30 = D D= 15
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2. If 3 men or 4 women can build a house in 43 days, then in how many days 7 men and 5 women can finish it?
1) 15
2)12
3)10
4)20
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: 43 / ( 7/3 + 5/4 ) = 43 * 12 / 43 = 12
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3. Harsh can do a work in 12 days while Manish can do it in 15 days. They started the work together but Harsh left the work one day before its completion. In how many days the whole work was completed?
1) 55
2) 65
3)56
4)60
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: suppose required day = X
(X – 1)/ 12 + X/ 15 = 1
X = 65
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4. Anjali can do a work in 10 days. Anjali is 50 % more efficient than Dona. In how many days Dona can do the same work?
1) 15
2) 12
3) 10
4) 18
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 50% more efficient means 100+ 50 = 150
150 * 10 = 100 * D
D = 15
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5. Two pipes P and Q can fill a tank in 24 mins and 32 mins respectively. If both the pipes are opened simultaneously, after how much time the pipe Q should be closed so that the tank will be filled in 18 mins?
1) 6
2) 8
3)10
4)12
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: P did the work in 18 days = 18/ 24= ¾
Remaining work = 1 – ¾ = ¼
Q did it ¼ * 32 = 8
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6. To do a work Y would take three times as long as X and Z together and Z takes twice as long as X and Y together. The three men together complete the work in 10 days. How long would Y take to complete the work?
1) 40 days
2) 32 days
3) 35 days
4) 45 days
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: Y : X + Z = 3 : 1 Z : X +Y = 2 : 1
1/3x + 1/ x = 1/10
4/ 3x = 1/10 3x = 40
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7. 400 men are selected to do a work in 30 days. After 3 days 280 men leave the work. Now how many days will require to finish the work?
1) 8
2) 6
3) 4
4)10
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 4
Explanation: 400 – 280 = 120 men
400 * 3 = 120 – D
D = 10
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8. Rinky and Pinky together can do a piece of work in 10 days. Rinky alone works for 5 days and then Pinky completes it alone in the next 16 days. Find in how many days Pinky alone can do it.
1) 22
2)24
3) 26
4) 28
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 1/ Rinky + 1/ Pinky = 1/10
1/ Rinky = 1/10 – 1/ Pinky
Now, 5 / Rinky + 16/ Pinky = 1
5/ Rinky + 5/ Pinky + 11 / Pinky = 1
5 (1/ Rinky + 1/ Pinky) + 11 / Pinky= 1
Pinky = 22
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9. A and B can do a work in 18 days, B and C can do a work in 24 days and A and C can do a work in 36 days. In what time will they do it all working together?
1) 16
2) 12
3) 18
4) 20
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 1 /2 * ( 1/18 + 1/24 + 1/36)
= 1/16
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10. Ronny and Bony can do a work in 25 days and 20 days respectively. They start to work together but Bony leaves 7 days before its completion. In what time the whole work has finished?
1) 12
2) 15
3) 10
4) 18
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: X / 25 + (X -7) / 20 = 1
X = 15
[/su_spoiler]
Regards
Team Exampundit
1. Charu is thrice as good a workwoman as Sunita and takes 10 days less to do a work than Sunita takes. In how many days Sunita alone can do the work?
1) 15
2)12
3)10
4)20
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 3M * ( D – 10) = M * D
3D – 30 = D D= 15
[/su_spoiler]
2. If 3 men or 4 women can build a house in 43 days, then in how many days 7 men and 5 women can finish it?
1) 15
2)12
3)10
4)20
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: 43 / ( 7/3 + 5/4 ) = 43 * 12 / 43 = 12
[/su_spoiler]
3. Harsh can do a work in 12 days while Manish can do it in 15 days. They started the work together but Harsh left the work one day before its completion. In how many days the whole work was completed?
1) 55
2) 65
3)56
4)60
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: suppose required day = X
(X – 1)/ 12 + X/ 15 = 1
X = 65
[/su_spoiler]
4. Anjali can do a work in 10 days. Anjali is 50 % more efficient than Dona. In how many days Dona can do the same work?
1) 15
2) 12
3) 10
4) 18
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 50% more efficient means 100+ 50 = 150
150 * 10 = 100 * D
D = 15
[/su_spoiler]
5. Two pipes P and Q can fill a tank in 24 mins and 32 mins respectively. If both the pipes are opened simultaneously, after how much time the pipe Q should be closed so that the tank will be filled in 18 mins?
1) 6
2) 8
3)10
4)12
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: P did the work in 18 days = 18/ 24= ¾
Remaining work = 1 – ¾ = ¼
Q did it ¼ * 32 = 8
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6. To do a work Y would take three times as long as X and Z together and Z takes twice as long as X and Y together. The three men together complete the work in 10 days. How long would Y take to complete the work?
1) 40 days
2) 32 days
3) 35 days
4) 45 days
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: Y : X + Z = 3 : 1 Z : X +Y = 2 : 1
1/3x + 1/ x = 1/10
4/ 3x = 1/10 3x = 40
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7. 400 men are selected to do a work in 30 days. After 3 days 280 men leave the work. Now how many days will require to finish the work?
1) 8
2) 6
3) 4
4)10
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 4
Explanation: 400 – 280 = 120 men
400 * 3 = 120 – D
D = 10
[/su_spoiler]
8. Rinky and Pinky together can do a piece of work in 10 days. Rinky alone works for 5 days and then Pinky completes it alone in the next 16 days. Find in how many days Pinky alone can do it.
1) 22
2)24
3) 26
4) 28
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 1/ Rinky + 1/ Pinky = 1/10
1/ Rinky = 1/10 – 1/ Pinky
Now, 5 / Rinky + 16/ Pinky = 1
5/ Rinky + 5/ Pinky + 11 / Pinky = 1
5 (1/ Rinky + 1/ Pinky) + 11 / Pinky= 1
Pinky = 22
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9. A and B can do a work in 18 days, B and C can do a work in 24 days and A and C can do a work in 36 days. In what time will they do it all working together?
1) 16
2) 12
3) 18
4) 20
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 1
Explanation: 1 /2 * ( 1/18 + 1/24 + 1/36)
= 1/16
[/su_spoiler]
10. Ronny and Bony can do a work in 25 days and 20 days respectively. They start to work together but Bony leaves 7 days before its completion. In what time the whole work has finished?
1) 12
2) 15
3) 10
4) 18
5) None of these
[su_spoiler title="Answer & Solutions" style="fancy" icon="arrow-circle-1"]
Option: 2
Explanation: X / 25 + (X -7) / 20 = 1
X = 15
[/su_spoiler]
Regards
Team Exampundit