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Railways Sample Paper RRB (Group D) Sample Test Paper-3

  • question_answer
    A number x is divisible by 7. When this number is divided by 8, 12 and 16, it leaves a remainder 3 in each case. The least value of x is:

    A)  149                 

    B)  150

    C)  147                 

    D)  148

    Correct Answer: C

    Solution :

    [c] The least number which leaves a remainder 3 when divided by 8, 12 and 16 is (LCM of 8, 12, 16) k + 3. LCM of 8,12,16 is 48 So least number is \[48\,\,k+3\] \[48\,\,k+3\]is divisible by 7 only when k=3 So, \[48\,\,k+3=48\,\,(3)+3=147\] So, correct answer is 147.


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