The greatest number that divides 411 684 821 and leaves 3 4 and 5 as remainders respectively is ........

Quantitative Aptitude (CGL) LCM, HCF

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The greatest number that divides 411, 684, 821 and leaves 3, 4 and 5 as remainders, respectively, is

254

146

136

204

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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