CMAT 2021 Solved Question Paper

Question : 3 of 100

Marks: +1, -0

Given below are two statements.
Statement I

(543) _{6}

is equivalent to

(317)_{8}

Statement II The last 4 bits in the binary representation of a multiple of 16 is 1000 .
In light of the above statements, choose the correct answer from the options given below.

Both Statement I and II are true
Both Statement I and II are false
Statement I is true but II is false
Statement I is false but II is true

Validate

Solution:

Statement I

(543)_{6}=5 ×6^{2}+4 ×6^{1}+3 ×6^{0}

=180+24+3=207

and

(317)_{8}=3 × 8^{2}+1 × 8^{1}+7 ×8^{0}

=192+8+7=207

∴ Statement

{\I}

is true.
Statement II is not true.

Go to Question:

Prev Question

Next Question