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SSC GD Previous Paper 18 (Held On: 19 Feb 2019 Shift 1)_English

Option 2 : 13

पर्यायवाची शब्द

218608

15 Questions
15 Marks
12 Mins

**Given:-**

Least number when divided by 21, 28, 30, and 35 leaves 10 as a remainder in each case

**Concept**

**When a number divides by certain numbers and leaves same remainder in each case then their LCM also divisibly by that number**

**CALCULATION:-**

On Taking L.C.M of 21, 28, 30, and 35 = 420

Least number 420k + 10 is divisible by 17 = 420 × 2 + 10 = 850

Least number which when divided by 21, 28, 30 , and 35 leaves 10

as a remainder in each case but divisible by 17 = 850

**∴Sum of digits of this least number = 8 + 5 + 0 = 13**