Answer :

Given 10n+3 ×4n+2+λ is divisible by 9

For n=1,


10 + 3 × 43 + λ


10 + 3 × 64 + λ


= 202 + λ


202 when divided by 9 gives remainder 4


For n=2,


102 + 3 × 44 + λ


=100 + 3 × 256 + λ


=868 + λ


868 when divided by 9 gives remainder 4


؞ λ = 4 + 1 = 5

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