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5th Class Mathematics Numbers Question Bank Number Sense

  • question_answer
    Kanchan is thinking of a 5-digit number The number is a multiple of 5. The ten's place digit is the highest common factor of 16 and 24. The hundred's place digit is the smallest odd number. The ten thousand's place digit is an even prime number. The thousand's place digit is the third multiple of the sum of the ten thousand's place and hundred's place digit. There are only 2 even digits in the number. What number is Kanchan thinking of?

    A) \[23180\]                      

    B)  \[23185\]         

    C)        \[29182\]          

    D)         \[29185\]

    Correct Answer: D

    Solution :

    The number is multiple of 5. So, one's place digit is either 0 or 5.               Highest common factor of 16 and 24 is 8.   \[\therefore \]Ten's place digit of the number is 8. Smallest odd number is 1.               \[\therefore \] Hundred's place digit of the number; is 1.                                    2 is the only even prime number. \[\therefore \] Ten thousand's place digit of the number is 2.                                    Sum of ten thousand's place and hundred?s place digit \[=2+1=3\] \[\therefore \]Thousand's place digit of the number is\[3\times 3=9\]                              Given that, only 2 even digits are there in the number.                            \[\therefore \] One's place digit of the number should be 5.                                   So, the required number is 29185.


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