Given below are two statements: Statement I: (243)^{0.16} \times(9)^{0.1}=0.3 Statement II: If 3.105 \times 10^P=0.00239+0.000715, then P=-3 In the light of the above statements choose the most appropriate answer from the options given below:

Correct Answer is : Statement I is incorrect but Statement II is correct

Both Statement I and Statement II are correct

Both Statement I and Statement II are incorrect

Statement I is correct but Statement II is incorrect

Statement I is incorrect but Statement II is correct

CMAT Exam 2023 Shift 1 Solved Paper

Question : 20 of 100

Marks: +1, -0

Given below are two statements:
Statement I:

(243)^{0.16} ×(9)^{0.1}=0.3

Statement II: If

3.105 × 10^P=0.00239+0.000715

, then

P=-3

In the light of the above statements choose the most appropriate answer from the options given below:

Solution:

Statement I:

(243)^{0.16} ×(9)^{0.1}=3^{0.8} × 3^{0.2}=3

Therefore, statement I is incorrect.
Statement II:

\;3.105 × 10^P=0.00239+0.000715

\;3.105 × 10^P=0.003105

\;3105 × 10^P=3.105

\; {\P}=-3

Therefore, statement II is correct.
The answer is option D.

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