Sum of the even numbers below 71 is ______ 

This question was previously asked in
TSPSC VRO 2018 Official Paper
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  1. 1260
  2. 1268
  3. 1272
  4. 1246

Answer (Detailed Solution Below)

Option 1 : 1260
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Detailed Solution

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Given:

Sum of even numbers below 71

Formula used:

Sum of first n even numbers = n(n+1)

Where n is the number of even numbers

Calculation:

The even numbers below 71 are: 2, 4, 6, ..., 70

The largest even number below 71 is 70, and it is the 35th even number (since 70/2 = 35).

⇒ n = 35

⇒ Sum of first 35 even numbers = 35(35+1)

⇒ Sum = 35 × 36

⇒ Sum = 1260

∴ The correct answer is option (1).

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