Let A = {n $ \in $ N: n is a 3-digit number} B = {9k + 2: k $ \in $ N} and C = {9k + $l$: k $ \in $ N} for some $l ( 0 < l < 9)$ If the sum of all the elements of the set A $ \cap $ (B $ \cup $ C) is 274 $ \times $ 400, then $l$ is equal to ________.

Question

Let A = {n $ \in $ N: n is a 3-digit number}

B = {9k + 2: k $ \in $ N}

and C = {9k + $l$: k $ \in $ N} for some $l ( 0 < l < 9)$

If the sum of all the elements of the set A $ \cap $ (B $ \cup $ C) is 274 $ \times $ 400, then $l$ is equal to ________.

Correct Answer

Solution

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