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

A. 400

B. 404

C. 408

D. 412

Answer: Option C

Solution (By Examveda Team)

First multiple = 3
Last multiple (less than 50) = 48
Number of multiples of 3
= $$\frac{48 - 3}{3}$$ + 1
= 16
Sum :
= $$\frac{16}{2}$$ [2 × 3 + (16 - 1)3]
= 8 × 51
= 408

This Question Belongs to Arithmetic Ability >> Number System

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