Find the least number which when divided by 35,45 and 55 leaves the reminder 18,28 and 38
Find the least number which when divided by 35,45 and 55 leaves the reminder 18,28 and 38 respectively
(a) 2981
(b) 2670
(c) 3120
(d) 3448
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.