10th Class Mathematics Real Numbers Question Bank MCQs - Real Numbers

The greatest number which divides 230, 1514 and 1351 leaving remainder 5 in each case is:

A) 34

B) 55

C) 17

D) None of these

Correct Answer: D

Solution :

Sol. [d] The required greatest number is HCF of \[(230-5),\] \[(1314-5)\]and \[(1331-5)\] i.e., 225, 1309 and 1326.

\[225=3\times 3\times 5\times 5={{3}^{2}}\times {{5}^{2}}\]

\[1309=7\times 11\times 17\]

and \[1326=2\times 3\times 13\times 17\]

\[\therefore \,\,\,\,\,HCF\,\,(225,1309,1326)=1\]