The LCM and the HCF of two numbers are 5005 and 77, respectively. When one of the two numbers is divided by 55 , the quotient is 18 and the remainder is 11 . The other number is:

Correct option is B

Given:

LCM of two numbers = 5005

HCF of two numbers = 77

When one number is divided by 55 Quotient is 18 and remainder is 11

Formula Used:

HCF $$\times$$​ LCM = Product of two numbers

Dividend = Quotient $$\times$$​ Divisor + Remainder

Solution:

One of the numbers will be:

Dividend = 55 $$\times$$​ 18 + 11

= 990+11= 1001

If the other number is x

Then

​$$5005 \times 77 = 1001 \times x$$​​

x = $$\frac{5005 \times 77}{1001}$$​= 385