Science, asked by manishamandre12, 4 months ago

Q.4) Solve the following questions (Any two).
8
1) Find the sum of all 3 digit numbers which leave remainder 3 when divided by
5.​

Answers

Answered by nishthagupta90
1

Three digit numbers which leave the remainder 3 when divided by 5 are 103, 108, 113,......., 998.

103, 108, 113,......, 998 is an A.P

First term of the A.P, a = 103

Common different of the A.P, d = 5

Let 998 be the nth term of the A.P.

an = a + (n – 1) d

∴ 103 + (n – 1) × 5 = 998

⇒ 5 (n – 1) = 998 – 103 = 895

⇒ (n – 1) = 179

⇒ n = 180

Sum of all three digit numbers which leaves remainder 3 when divided by 5

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