The HCF and LCM of two numbers are 19 and 342 respectively, if dividin

1.	The HCF and LCM of two numbers are 19 and 342 respectively, if dividing one number by 2 gives the quotient 19, find the second number.A. 133B. 171C. 198D. 1141. A2. B3. C4. D
Answer» Correct Answer - Option 2 : B Given: The HCF and LCM of two numbers are 19 and 342 respectively and if dividing one number by 2 gives the quotient 19 Concept Used: For two numbers, LCM × HCF = product of those two numbers Calculation: Given that, if dividing one number by 2 gives the quotient 19. Here nothing is mention about the remainder, so, we have to assume that the remainder is 0 The number is 2 × 19 = 38 Accordingly, 19 × 342 = 38 × the other number ⇒ The other number = 171 ∴ The second number is 171.

The HCF and LCM of two numbers are 19 and 342 respectively, if dividing one number by 2 gives the quotient 19, find the second number.A. 133B. 171C. 198D. 1141. A2. B3. C4. D

Answer» Correct Answer - Option 2 : B

Given:

The HCF and LCM of two numbers are 19 and 342 respectively and if dividing one number by 2 gives the quotient 19

Concept Used:

For two numbers,

LCM × HCF = product of those two numbers

Calculation:

Given that, if dividing one number by 2 gives the quotient 19.

Here nothing is mention about the remainder, so, we have to assume that the remainder is 0

The number is 2 × 19 = 38

Accordingly,

19 × 342 = 38 × the other number

⇒ The other number = 171

∴ The second number is 171.

Discussion

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