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nisha saini

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· 1 Months ago

sign (Question: 130651.0 )

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Question:

DIRECTION: What should come in place of the question mark (?) in the following question?


Options:
A)

8

B)

3

C)

12

D)

16

E)

None of these

Solution:

Ans: (b)

\((15 \times 0.40)^4 +\left ( \frac {1080}{30} \right ) ^4 \times(27 \times 8)^4=(3\times2)^{?+5}\)

= \(6^4\div(36)^4\times(216)^4=(3\times2)^{?+5} \)

= \(6^4\div(6)^8\times(6)^{12}=(6)^{?+5} \)

= \(\big[ ( a ^m)^n= a^{mn },a^m\times a^n=a^{m+n},a^m\div a^{m-n}\big]\)

= \(6^{4-8+12}=6^{?+5}\)

= \(6^{8}=6^{?+5}\)

\(\therefore ? + 5 = 8 \)

\(?=8 - 5 = 3.\)

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