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Important Formulas

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Banker's Discount

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Problems on H.C.F & L.C.M

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Ratio and Proportion

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Time and Distance

Time and Work

True Discount

Volume and Surface Area

Practice Questions

:- You can add tough questions into
your favourite list for second revision. Note |

Q1. | 10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days ? |

A. | 6 [Correct Answer] |

B. | 10 [Wrong Answer] |

C. | 12 [Wrong Answer] |

D. | 15 [Wrong Answer] |

View Answer
Explanation:-
Answer : ADiscuss it below :Let the required number of hours per day be x.More men, Less hours per day (Direct Proportion) Less days, More hours per day (Direct Proportion) ^{Men 15 : 10} _{ :: 6 : x}^{Days 12 : 18}
so 15 X 12 X x = 10 X 18 X 6 _{x = } ^{10 X 4 X 270}_{<=> x = 6.}^{15 X 12}
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Q2. | Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes ? |

A. | 648 [Wrong Answer] |

B. | 1800 [Correct Answer] |

C. | 2700 [Wrong Answer] |

D. | 10800 [Wrong Answer] |

View Answer
Explanation:-
Answer : BDiscuss it below :Let the required number of bottles be x.More machines, More bottles (Direct Proportion) More minutes, More bottles (Direct Proportion) ^{ Machines 6 : 10} _{ :: 270 : x}^{Time (in Minutes) 1 : 4}
so 6 X 1 X x= 10 X 4 X 270 _{x = } ^{10 X 4 X 270}_{<=> x = 1800.}^{6}
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Q3. | If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days ? |

A. | 350 [Wrong Answer] |

B. | 400 [Wrong Answer] |

C. | 425 [Wrong Answer] |

D. | 450 [Correct Answer] |

View Answer
Explanation:-
Answer : DDiscuss it below :Let the required number of hectares be x. Then,More men, More hectares (Direct Proportion) More days, More hectares (Direct Proportion) ^{ Men 8 : 36} _{ :: 80 : x}^{Days 24 : 30}
so 8 X 24 X x = 36 X 30 X 80 _{x = } ^{(36 X 30 X 80)}_{<=> x = 450.}^{(8 X 24)}
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Q4. | In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ? |

A. | 20 [Wrong Answer] |

B. | 30 [Correct Answer] |

C. | 40 [Wrong Answer] |

D. | 50 [Wrong Answer] |

View Answer
Explanation:-
Answer : BDiscuss it below :There is a meal for 200 children. 150 children have taken the meal.Remaining meal is to be catered to 50 children. Now, 200 children = 120 men 50 children = ^{120}/_{200}Click here for more comments |

Q5. | A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar coAditions will be : |

A. | 10 m [Wrong Answer] |

B. | 12.5 m [Correct Answer] |

C. | 17.5 m [Wrong Answer] |

D. | 21.25 m [Wrong Answer] |

View Answer
Explanation:-
Answer : BDiscuss it below :Let the height of the building be x metresLess lengthy shadovv, Less is the height (Dirert Proportion) 40.25 : 28.75 : 17.5 : x <=> 40.25 X x = 28.75 X 17.5 _{x = } ^{(28.75 x 17.5)}_{ <=> x = 12.5.}^{40.25}
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