If P - a - b - cwhere a - b - c are prime numbers and a is the smallest prime number- then which of the following is correct -A- P is always odd numberB- P is always even numberC- P is always prime numberD- None of these

The correct option is B P is always even numberP=a× b× c Since, nbsp;a is the smallest prime number so a=2 ⇒ P=2× b× c which is an even number. nbsp; ...

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Standard XII

Mathematics

Method of Contradiction

If P = a × b ...

Question

If $P = a \times b \times c$
where $a, b, c$ are prime numbers and $a$ is the smallest prime number, then which of the following is correct ?

P

is always odd number

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P

is always even number

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P

is always prime number

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None of these

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Solution

The correct option is B $P$ is always even number
$P = a \times b \times c$
Since, $a$ is the smallest prime number so $a = 2$
$\Rightarrow P = 2 \times b \times c$ which is an even number.

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If P=a×b×c where a,b,c are prime numbers and a is the smallest prime number, then which of the following is correct ?

The correct option is B P is always even numberP=a×b×c Since, a is the smallest prime number so a=2 ⇒P=2×b×c which is an even number.

If $P = a \times b \times c$
where $a, b, c$ are prime numbers and $a$ is the smallest prime number, then which of the following is correct ?

The correct option is B $P$ is always even number
$P = a \times b \times c$
Since, $a$ is the smallest prime number so $a = 2$
$\Rightarrow P = 2 \times b \times c$ which is an even number.