NIMCET 2008 Question Paper with solutions

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Question : 50 of 120

Marks: +1, -0

If both

7^{2}

and

3^{3}

are factors of the number

(a ⋅ 11^{3} ⋅ 6^{2} ⋅ 13^{11})

, then what is the smallest possible value of

a

?

1323
147
21
3087

Solution:

7^{2}

and

3^{3}

will be factors of

(a ⋅ 11^{3} ⋅ 6^{3} ⋅ 13^{11})

if

a=7^{2} ⋅ 3=147

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