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MATHS MCQ

Time and Work · ICSE STD 8 (ICSE - English Medium). 12 questions.

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12 questions · timed · auto-graded

MCQ 11 Mark
Pipe $A$ can fill a tank in 45 hours and pipe $B$ can empty it in 36 hours. If both the pipes are opened in the empty tank, in how many hours will it be full?
  • A
    9
  • ✓
    20
  • C
    $40 \frac{1}{2}$
  • D
    81
Answer
Correct option: B.
20
B
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MCQ 21 Mark
A can do a piece of work in 80 days. He works at it for 10 days and then $B$ alone finishes the work in 42 days. The number of days taken by the two together to finish the work, is
  • A
    24
  • B
    25
  • ✓
    30
  • D
    35
Answer
Correct option: C.
30
C
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MCQ 31 Mark
A works twice as fast as B. If B can complete a piece of work independently in 12 days, then the number of days taken by $A$ and $B$ together to finish the work is
  • ✓
    4
  • B
    6
  • C
    8
  • D
    18
Answer
Correct option: A.
4
A
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MCQ 41 Mark
A can do a piece of work in 20 days and $B$ can do it in 12 days. $B$ worked at it for 9 days. In how many days $A$ alone can finish the remaining work?
  • A
    3
  • ✓
    5
  • C
    7
  • D
    11
Answer
Correct option: B.
5
B
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MCQ 51 Mark
A can finish a work in 12 days and $B$ can do it in 15 days. After A had worked for 3 days, $B$ also joined A to finish the remaining work. In how many days the remaining work will be finished?
  • A
    $4 \frac{1}{2}$
  • ✓
    5
  • C
    $5 \frac{1}{2}$
  • D
    6
Answer
Correct option: B.
5
B
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MCQ 61 Mark
$A$ and $B$ can do a piece of work in 18 days; $B$ and $C$ in 24 days; $C$ and $A$ in 36 days. In how many days can they do it all working together?
  • A
    12
  • B
    13
  • ✓
    16
  • D
    26
Answer
Correct option: C.
16
C
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MCQ 71 Mark
$A, B$ and $C$ together can finish a piece of work in 4 days. A alone can do it in 12 days and $B$ alone in 18 days. How many days will be taken by $C$ to do it alone?
  • ✓
    9
  • B
    14
  • C
    16
  • D
    21
Answer
Correct option: A.
9
A
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MCQ 81 Mark
A can do a job in 6 days while $A$ and $B$ can do it together in 2 days. How many days will be taken by $B$ to do the job alone?
  • ✓
    3
  • B
    4
  • C
    5
  • D
    8
Answer
Correct option: A.
3
A
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MCQ 91 Mark
A cistern can be filled by pipes $A$ and $B$ in 4 hours and 6 hours respectively. When full, the cistern can be emptied by a pipe $C$ in 8 hours. If all the pipes be turned on at the same time, the cistern will be full in
  • A
    3 hrs 18 min
  • ✓
    3 hrs 26 min
  • C
    3 hrs 42 min
  • D
    3 hrs 48 min
Answer
Correct option: B.
3 hrs 26 min
B
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MCQ 101 Mark
A cistern which has a leak in the bottom is filled in 15 hours. Had there been no leak it could have been filled in 12 hours. If the cistern is full, the leak can empty it in
  • A
    3 hours
  • B
    12 hours
  • C
    15 hours
  • ✓
    60 hours
Answer
Correct option: D.
60 hours
D
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MCQ 111 Mark
Pipe A can fill a cistern in 4 hours while pipe B can empty it in 6 hours. If both of them are opened at the same time when the cistern is empty, the number of hours taken by them to fill it, is
  • A
    6
  • B
    8
  • C
    10
  • ✓
    12
Answer
Correct option: D.
12
D
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MCQ 121 Mark
If a work can be completed by $A$ in 30 days and by $B$ in 60 days, then the number of days taken by them to finish the work, working together, is:
  • ✓
    20
  • B
    25
  • C
    45
  • D
    50
Answer
Correct option: A.
20
A
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MCQ - MATHS STD 8 Questions - Vidyadip