Multiple Choice Questions on Let x be the smallest positive integer such that when 14 divides x the remainder is 7 and when 15 di........... for CDS Exam Preparation

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Multiple Choice Questions

Let x be the smallest positive integer such that when 14 divides x the remainder is 7 and when 15 di...........

Quantitative Aptitude (CDS) Number System
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    Let x be the smallest positive integer such that when 14 divides x , the remainder is 7 , and when 15 divides x, the remainder is 5 . Which one of the following is correct?

    20<x<30

    Incorrect Answer

    30<x<40

    Correct Answer

    40<x<50

    Incorrect Answer

    x>50

    Incorrect Answer
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    Explanation:

    For x to be least
    \frac{x-7}{14} =\frac{x - 5}{15}
    15x -105= 14x-70
    x=35
    hence 30

    By: Munesh Kumari
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