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SSC CHSL 2022 · Question 46 of 92

What is the sum of all three digit numbers which are divisible by 20?

Number System

  1. A19400
  2. B20500
  3. C24300Correct
  4. D21800

Answer: C. 24300

Explanation

Given: We need to find the sum of all three-digit numbers that are divisible by 20. Formula Used: Sum = (n/2)(first term + last term) Calculation: The first term (a) is 100, the last term (l) is 980, and the common difference (d) is 20. The number of terms (n) can be calculated using the formula: n = (l - a)/d + 1 n = (980 - 100)/20 + 1 n = 45 Now, we can calculate the sum of the arithmetic series: Sum = (n/2)(a + l) Sum = (45/2)(100 + 980) Sum = 22.5 × 1080 Sum = 24300 Therefore, the sum of all three-digit numbers divisible by 20 is 24,300.

Source: SSC CHSL 2022 (Tier-I) Previous Year Paper (21-Mar-2023) (Shift 2) — prepp.in solved paper · reliable-secondary

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