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Question

What is the unit digit of the sum of first 111 whole numbers?

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

5

The first 111 whole numbers are \(0, 1, 2, \dots, 110\). Since adding 0 does not change the sum, this equals the sum of the first 110 natural numbers.

\[S=\frac{n(n+1)}{2}=\frac{110\times 111}{2}=55\times 111=6105\]

The unit digit of \(55\times 111\) is the unit digit of \(5\times 1=5\). Therefore the unit digit is 5.

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Similar Questions

  1. If x = (164) 169 + (333) 337 – (727) 726 , then what is the units digit of x?

  2. What is the unit digit of (217) 413 × (819) 547 × (414) 624 × (342) 812 ?

  3. Let x = (433) 24 – (377) 38 + (166) 54 . What is the units digit of x?

  4. Let x = (633)24 – (277)38+ (266)54. What is the units digit of x?

  5. What is the unit digit of 1 5+ 2 5+ 3 5+ … + 20 5?


Important Questions from Unit Digit

  1. What is the digit in the unit place of 3 99 ?

  2. What is the digit in the unit place of 23 65 × 36 94  × 88 77 ?

  3. What is the digit in the unit place of 3 99 ?

  4. What is the digit at unit place in 28 96 × 26 92 × 94 22 ?

  5. The digit in the units place of (34) 9 + (46) 21  - (43) 27  is:

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