I have encountered a GRE question: compare 33333 times 5555555 vs 55555 times 3333333.

How do we compare such type of questions?

33333 x 5555555 = (3 x 11111) x (5 x 1111111) = 15 x 11111 x 1111111

55555 x 3333333 = (5 x 11111) x (3 x 1111111) = 15 x 11111 x 1111111

These huge numbers for QC always have a trick for comparison, we never have to do the actual math. Finding that what works is what comes with practice.

Make a toy problem

3 x 55 = 165 , 5x33=165 [**EQUAL**]

33x555 =18315, 55x333=18315 [**EQUAL**]

333x5555=1849815, 555x3333=1849815 [**EQUAL**]

To know why this work see the above explanation by @C.Koushik

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