Question

The sum of the common terms of the following three arithmetic progressions $3,7,11,15, \ldots , 399$, $2,5,8,11, \ldots , 359$ and $2,7,12,17, \ldots , 197$, is equal to _____

Answer 1

The correct answer is 321
3,7,11,15,…………,399d1​=4
2,5,8,11,………….,359d2​=3
2,7,12,17,……,197d3​=5
LCM(d1​,d2​,d3​)=60
Common terms are 47, 107, 167
Sum =321