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(B) The statement is $False$. Every positive even integer is of the form $2n$,where $n$ is an integer. While it is true that some even integers can be

Vedclass · Accepted Answer

False

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(B) The statement is $False$. Every positive even integer is of the form $2n$,where $n$ is an integer. While it is true that some even integers can be written as $4q + 2$ (where $q$ is an integer),not all even integers follow this form. For example,the integer $2$ can be written as $4(0) + 2$,but the integer $4$ cannot be expressed in the form $4q + 2$ for any integer $q$,as $4q + 2 = 4 \implies 4q = 2 \implies q = 0.5$,which is not an integer.

$Q.1.$ $\text{LCM}(7, 49)$	$A. 50$
$Q.2.$ $\text{LCM}(10, 25)$	$B. 49$
	$C. 51$
	$D. 50$

Every positive even integer can be written in the form $4q + 2$.

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For the zeros $\alpha$ and $\beta$ of the polynomial $p(x) = ax^2 + bx + c$,what is the value of $\frac{1}{\alpha} + \frac{1}{\beta}$?

Every composite number greater than $1$ can be expressed (factorized) as a product of primes,and this factorization is . . . . . . apart from the order in which the prime factors occur. ($0$,$1$,unique)

Find the $HCF$ and $LCM$ of $6$,$72$,and $120$ using the prime factorization method.

Find the Least Common Multiple $(LCM)$ for the following pairs and match them with the correct options:
$Q.1.$ $\text{LCM}(7, 49)$ $A. 50$
$Q.2.$ $\text{LCM}(10, 25)$ $B. 49$
$C. 51$
$D. 50$

Find the $HCF$ and $LCM$ of $6$ and $20$ using the prime factorization method.

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