Question

The LCM of two prime numbers p and q (p > q) is 221. Find the value of 5p +q
(a) 38 (b) 78 (c) 88 (d) 98​

Answer 1

Option D: 98

______________

Given that, p and q are prime numbers.

This means that the HCF of the given numbers is 1.

➡ HCF (p, q) = 1

Also, the LCM of the given numbers is 221.

➡ LCM (p, q) = 221

We know that:

LCM x HCF = Product of numbers

221 = Product of numbers

221 = 13 x 17

(We get this by factorizing 221. The only prime factors of 221 are 1, 13, 17, 221.)

Also, p > q (given)

⇒ p = 17

⇒ q = 13

We are asked to find, 5p +q

= 5 x 17 + 13

= 85 + 13

= 98

The required correct option is Option D: 98.

Answer 2

Answer:

a option is the answer for this question