Find the sum of all positive multiples of 3 less than 50 Options: A . &nbsp408 B . &nbsp400 C . &nbsp404 D . &nbsp412

Find the sum of all positive multiples of 3 less than 50

Question

Find the sum of all positive multiples of 3 less than 50

Options:

A . 408

B . 400

C . 404

D . 412

Answer: Option A
Answer: (a)Sum of all multiples of 3 upto 50 = 3 + 6 + ..... + 48 = 3 (1 + 2 + 3 + .... + 16) = 3×${16(16+1)}/2$= 3 × ${272}/2$ = 408 [Since 1+2+3+…+n = ${n(n+1)}/2$]

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