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What is the sum of even numbers between 1 and 37?

  1. 171
  2. 342
  3. 129
  4. 428

Answer (Detailed Solution Below)

Option 2 : 342
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Detailed Solution

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⇒ Required sum = 2 + 4 + 6 + 8 + ……. + 36

⇒ Required sum = 2(1 + 2 + 3 + …… + 18)

We know that,

Sum of first n natural numbers = n(n + 1)/2

⇒ Required sum = 2 × n × (n + 1)/2      (where n = 18)

⇒ Required sum = 18 × 19 = 342
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