The maximum number of students among whom 3003 pens and 2730 pencils can be distributed in such a wa...........

Quantitative Aptitude (CGL) LCM, HCF

The maximum number of students among whom 3003 pens and 2730 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is :

273

910

300

293

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Explanation:

Solution: Total number of pens=3003, Total number of pencils= 2730
maximum number of students who get the same number of pens and same
number of pencils HCF (3003 and 2730)
using Prime factorization: 2730=2x5x7x13 x2, 3003 = 7 x 11 x 13 x2
Now HCF (3003 and 2730) = 273