J, K, L, M are four consecutive odd integers and their average is 42. What is the product of K and M?
Explanation
Let the Four consecutive odd integers is 2n-3,2n-1,2n+1,2+3
And thier average= 42
and thier sum is = 42×4= 168
⇒ (2n-3)(2n-1)+(2n+1)+(2+3)=168
⇒ 8n=168
⇒ n=21
∴ The numbers are J=39, K=41, L=43, M=45
The product of K and M is 41×45=1845.
Hence, Option D is correct.
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