Correct Answer - Option 3 : 2
Given:
HCF = 4
LCM = 400
Concept used:
If the number a = 4x and b = 4y, then HCF = 4
Where x and y will be the co-prime.
Formula used:
LCM × HCF = a × b
Calculation:
HCF is 4. So numbers are multiples of 4
Let the numbers be 4x and 4y.
LCM × HCF = a × b
⇒ 400 × 4 = 4x × 4y
⇒ 1600 =16xy
⇒ xy = 100
Here, x and y will be the co-prime.
Then, possible pairs are (1, 100), (4, 25)
∴ There will be 2 such possible pairs.