Practice Test Discussion

What will come in place of question mark (?) in the following questions

$784 \times \sqrt{(256)} \times 343 = 4^{4} \times 7^{?}$

[RBI, 2015]

Explanation

Here,

$= 784 \times \sqrt{(256)} \times 343 = 4^{4} \times 7^{x} = 784 \times 16 \times 343 = 4^{4} \times 7^{x} = (28)^{2} \times 16 \times 7^{3} = 4^{4} \times 7^{x} = 7^{5} \times 4^{4} = 4^{4} \times 7^{x} = x = 5$

Hence, Option D is correct.

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