Find the least number which when divided by 35,45 and 55 leaves the reminder 18,28 and 38

Answer: (d) 3448 

Explanation:-
The factors of 35 = 5 x 7
The factors of 45 = 3 x 3 x 5
The factors of 55 = 5 x 11

Then, the L. C. M. of 35, 45 and 55 = 3 x 3 x 5 x 7 x 11
= 3465

The difference between divisor and remainder = 35 – 18 = 17, 45 – 28 = 17 & 55 – 38 = 17.

Then, required number = 3465 – 17
= 3448

Hence, the correct answer is option (d) 3448.