Correct Answer - Option 1 : 101
Given:
The given expression is ((202)2 – (101)2) = M where M = 3K
Formula used:
Identity: ((a)2 – (b)2) = (a + b) × (a - b)
Calculation:
By using the identity the given expression can be simplified
∴ ((202)2 – (101)2) = (202 + 101) × (202 - 101) = 303 × 101 = 3 × 101 × 101
Now, ((202)2 – (101)2) = 3K
∴ 3K = 3 × 101 × 101 = 3 × 10201
So, K is equal to 10201 which is divisible by 101
Hence, option (1) is correct
