Subject

    Quantitative Aptitude

    Topic

    Time and Work

    A can complete a work in 6 days while B can complete the same work in 12 days.If they work together and complete it,the portion of the work done by A is -

    ক)
    1/3
    খ)
    1/4
    গ)
    1/2
    ঘ)
    2/3

    Explanation

    (প্রশ্নঃ A একটি কাজ করতে পারে ৬ দিনে যা B করতে পারে ১২ দিনে।তারা একত্রে কাজটি সম্পন্ন করলে A কর্তৃক সম্পন্ন কাজের অংশ -) A একা ১ দিনে সম্পন্ন করে কাজটির ১/৬ অংশ B একা ১ দিনে সম্পন্ন করে কাজটির ১/১২ অংশ অতএব ১/৬ >১/১২  তাই  A ১ দিনে   B এর চেয়ে বেশি কাজ করবে। এখন, একই সময় ধরে কাজটি একসাথে করলে   A ও  B এর সম্পন্ন কৃত কাজের অনুপাত= ১/৬  ঃ  ১/১২  =২ঃ১ অতএব সম্পন্ন কাজে A এর আনুপাতিক অংশ ঃ B এর আনুপাতিক অংশ =২ঃ১ A কর্তৃক সম্পন্ন কাজটির অংশ ২/(২+১) =২/৩ অংশ
    The number  of days in which A and B together can finish a piece of work is 12 days less than the time taken by A alone and 27 days less than the time taken by B alone to finish the work. If A and B completed the work in 15 days with the help of C and got a total compensation of Rs 3000 for the work, then what is the share of C?5 men and 5 women earn Rs. 660 in 3 days. 10 men and 20 women earn Rs. 3500 in 5 days. In how many days can 6 men and 4 women earn Rs. 1060?Two pipes can fill a tank in 5 minutes and 6 minutes respectively and a third pipe empties the full tank in 10 minutes. How much time will be taken to fill the tank if all pipes open simultaneously?8 men can complete a piece of work in 20 days.8 women can complete the same work in 32 days.In how many days will 5 men and 8 women together complete the same work?Two pipes fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 min. The capacity of the tank is?5 men and 2 boys working together can do four times as much work as a man and a boy.Working capacities of a man and a boy are in the ratio:P alone can complete a piece of work in 6 days and Q alone can complete the same piece of work in 12 days. In how many days can P and Q together complete the same piece of work?Jason won some goldfish at the state fair. During the first week 1/5 of them died and during the second week, 3/8 of those still alive at the end of the first week died. What fraction of the original goldfish were still alive after two weeks?

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