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


Important Questions from Unit Digit

  1. The unit digit in 4 × 38 × 764 × 1256 is:

  2. How many times does the number 3 occur in unit's place for numbers ranging from 1 to 100?

    A. 20

    B. 11

    C. 10

    D. 19

  3. Find the unit digit in the given factor (3451) 51 × (531) 43 .

    A. 6

    B. 4

    C. 1

    D. 9

  4. What is the unit digit of 178 × 593 + 157?

  5. Find the unit digit of $(123)^{123} \times (347)^{347} \times (568)^{568}$.

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