how many integers between 1 and 1050 are divisible by 10 , 25 , and 35 ? Choose the most appropriate option:
A) 4
B) 5
C) 6
D) 7
E) 3

Rationale: prime factorization of given numbers 10 = 2 * 5 25 = 5 ^ 2 35 = 5 * 7 lcm of the given numbers = 2 * 5 ^ 2 * 7 = 50 * 7 = 350 therefore , number of integers = 1050 / 350 = 3 answer : option e
Answer: E