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A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is? |

A) 1/4
B) 4/10
C) 7/15
D) 8/15
Correct Answer : 8/15 Explanation :A's 1 day's work = 1/15 |

A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work? |

A) 60
B) 50
C) 40
D) 30
Correct Answer : 60 Explanation :Amount of work done by A and B in 1 day = 1/30 |

3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work? |

A) 60
B) 50
C) 40
D) 30
Correct Answer : 40 Explanation :Work done by 4 men and 6 women in 1 day = 4m + 6w = 1/8---(1) |

P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work? |

A) 8
B) 5
C) 4
D) 6
Correct Answer : 6 Explanation :Work done by P in 1 day = 1/18 |

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work? |

A) 75/2 days
B) 22 days
C) 31 days
D) 21 days
Correct Answer : 75/2 days Explanation :Work done by A in 20 days = 80/100 = 4/5 remaining work (100-80)=20% |

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in? |

A) 30 days
B) 25 days
C) 31 days
D) 21 days
Correct Answer : 25 days Explanation :Work done by P and Q in 1 day = 1/10 , Work done by R in 1 day = 1/50 |

A and B can do a piece of work in 72 days, B and C can do it in 120 days, A. and C can do it in 90 days. Who is more efficient? |

A) A
B) B
C) C
D) Can t be determined
Correct Answer : A Explanation :Combined efficiency of A and B =1/72 ...(i) |

5 men can complete a work in 12 days and 9 women take 20 days to complete the same work.How many days will 6 men and 12 women take to complete the work? |

A) 8 days
B) 6 days
C) 4 days
D) 7 days
Correct Answer : 6 days Explanation :a man can complete the work in (5 *12) days =60 days (6 men + 12 women) one day work=6 *(1/60) + 12*(1/180) =1 /10 + 1/15 = 5/30 = 1/6 |

6 men and 10 children can do a piece of work in 24 days. A child takes double the time to do a work than the man. In how many days 8 men can complete the work? |

A) 33 days
B) 36 days
C) 32 days
D) 39 days
Correct Answer : 33 days Explanation :2 children = 1 man then, (6 men + 10 children) = 11 men X =(11*24)/8 = 33 days |

A can do a piece of work in 30 days. He works at it for 20 days but leaves the task incomplete. B takes over and completes it in 12 days. If A and B had worked together, how many days would it have taken them to complete the work? |

A) 177/11 days
B) 180/11 days
C) 183/11 days
D) 186/11 days
Correct Answer : 180/11 days Explanation :A’s one day’s work=1/30 Therefore, the whole work will be completed in 180/11 days |

A can do a work in 20 days and B can do the same work in 30 days, in how many days will they complete the work together? |

A) 16 days
B) 14 days
C) 10 days
D) 12 days
Correct Answer : 12 days Explanation :A's one day work = 1/20 (A+B)'s one day work = 1/20 + 1/30 = 5/20 = 1/12 |

A can do 1/6 part of a work in 5 days, and B can do 2/5 part of the same work in 8 days. How many days can A and B complete the work together? |

A) 12 days
B) 13 days
C) 15 days
D) 20 days
Correct Answer : 12 days Explanation :A can do 1/6 part of a work =5 days (A+B)'s one day work = 1/20 + 1/30 = 5/60 = 1/12 |

A, B and C can complete one task alone in 10 days, 12 days and 15 days respectively. If they start working together, then the number of days required to complete the work? |

A) 12 days
B) 10 days
C) 8 days
D) 4 days
Correct Answer : 4 days Explanation :(A+B+C)'s one days work= 1/10 + 1/12 + 1/15 = 6+5+4/60 = 15/60 = 1/4 |

45 people can complete work in 16 days. After 4 days of starting work by them, 36 people got together with them. How long will it take to complete the remaining work? |

A) 6 days
B) 8 days
C) 20/3 days
D) 31/4 days
Correct Answer : 20/3 days Explanation :∴ work will remain the same 45*16 = 45*4 + (45+36)*d |

Some people can do one work in 12 days. How many days will the double man complete half the work? |

A) 9 days
B) 6 days
C) 5 days
D) 3 days
Correct Answer : 3 days Explanation :∴ M1*D1/W1 = M21*D2/W2 |

While working 8 hours per day, Anu can prepare a book in 18 days. If the same work has to be completed in 12 days, how many hours will Anu work every day? |

A) 12 hours
B) 10 hours
C) 11 hours
D) 13 hours
Correct Answer : 12 hours Explanation :The work done by Anu in 18 days working 8 hours per day, would be equal to the work done by her in 12 days working X hours per day. ∴ 18*8 = 12*X |