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Question

Find the sum of the first 10 natural numbers.
(Use S10=1+2+3++10 and proceed)


  1. 10×11

  2. (10×11)2

  3. (10×2)11

  4. None of these


Solution

The correct option is B

(10×11)2


Let S10 denote the sum to first 10 natural numbers.  
S10=1+2+3+4+5+6+7+8+9+10 ----(1)

Reversing the numbers and adding will not change the sum and hence,
S10=10+9+8+7+6+5+4+3+2+1 ----(2)

Adding equation (1) & (2)
2S10=11+11+11+11+11+11+11+11+11+11
2S10=11×10
  S10=(11×10)2=55

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