List of top Mathematics Questions on Prime and Composite Numbers asked in CBSE Class X

The natural number 2 is :
7 $\times$ 11 $\times$ 13 + 5 is

Directions: In the Question, a statement of Assertion
(A) is followed by a statement of Reason (R).

Choose the correct option from the following:

Assertion (A): For two odd prime numbers \(x\) and \(y\), \((x + y)\), \(\text{LCM}(2x,\ 4y) = 4xy\)
Reason (R):} \(\text{LCM}(x, y)\) is a multiple of \(\text{HCF}(x, y)\)

Assertion (A) : For two prime numbers \(x\) and \(y\) (\(x<y\)), HCF\((x, y) = x\) and LCM\((x, y) = y\). Reason (R): HCF\((x, y) \leq \) LCM\((x, y)\), where \(x, y\) are any two natural numbers.
Show that \(11 \times 19 \times 23 + 3 \times 11\) is not a prime number.
Show that \(11 \times 19 \times 23 + 3 \times 11\) is not a prime number.