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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 |

A grain stock in a village A runs for 21 days. The same stock can run for 28 days in village B. If both the villages are given the same grain stock, then how long will the stores run? |

A) 14 hours
B) 12 hours
C) 7 hours
D) 49 hours
Correct Answer :12 hours Explanation :The quantity of grains used by village A and B in one day = 1/21 + 1/28 = 7/84 = 1/12 Therefore, the stocks will be run out in 12 days by both the villages. |

If 15 men take 21 days of 8 hours each to do a piece of work, then what is the number of days of 6 hours each that 21 women would take, if 3 women would do as much as 2 men? |

A) 18 B) 20 C) 25 D) 30 Correct Answer :30 Explanation :As is given 3W = 2M thus, 21W = 14M M M D |

A and B working together can finish a piece of work in 12 days while B alone can finish it in 30 days. In how many days can A alone finish the work? |

A) 18 days B) 20 days C) 24 days D) 25 days Correct Answer :20 days Explanation :A and B do the work in 12 days |

If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is? |

A) 15/2 days B) 8 days C) 19/2 days D) 12 days Correct Answer :15/2 days Explanation :5 men complete the work in 10 days 12 women complete the work in 15 days Hence, 5 men & 6 women, 1 day's work = (1/10)+(1/30) = 2/15 |