Number System Practice Test 1

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Question : 24 of 40

Marks: +1, -0

If both 19 and

3^6

are factors of expression

36^2×7x×38×11^5

, then find the smallest possible value of x.

243
171
81
27
None of these

Solution:

36^2×7x×38×11^5

=3^4×2^4×7^1×x×19^1×2^1×11^5

=3^4×2^5×7^1×11^5×19^1×x

Since 19 and

3^6

are factors of the given expressions, then x must be

3^2 = 9

.

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