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Railways Sample Paper RRB (Assistant Loco Pilot) 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 :

                                                                                                            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\[48\text{ }k+3~\]. \[48\text{ }k+3\]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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