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10th Class Mathematics Real Numbers Question Bank Real Numbers

  • question_answer
    Find The largest number which divides the numbers 120, 224 and 256.

    A)  8           

    B)         6

    C)  4           

    D)         5

    Correct Answer: A

    Solution :

     Let us find H.C.F. of 120 and 224. \[=\sqrt{64+36}=10\,cm\] \[\Rightarrow \] \[x=\frac{1740}{29}=60\]and\[\Rightarrow \] Thus, H.C.F. (224, 120) = 8. Now, find the H.C.F. of 8 and the third number 256. \[140\times 605=11\times L.C.M.\] i.e., H.C.F. (256, 8) = 8 Hence, the largest required number is 8.


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