Subject

    Quantitative Aptitude

    Topic

    Number

    A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be

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

    Explanation

    let a number X which is divisible by 4 and 5 respective gives 1 and 4. Step 1 :       now, first divide by 4.    we take Y as dividend.       when you divide X by 4 it gives remainder 1.     4 | X | Y        ____          1    so  X = 4 * Y + 1   ---  eq(1) step 2 ;         now,  divide by 5.        we take 1 as dividend because it divides completly.     when you divide Y by 5 it gives only remainder 4.         5 | Y | 1        ____          4    so

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