manhattan word problem

[resilient]

3 digit number yields a remainder of 1 when it is divided by both 100 and 60. How many 3 digit numbers are there with this property?

none
one
two
three
four

qa is three


100: 101,201,301.......901
60: 300,600,900

THEREFORE QA IS THREE.

i DONT SEE HOW HOW BOTH 100 AND 600 GIVE A REMAINDER OF 1 WITH 300, 600 AD 900. WHAT AM I NOT SEEING?

[xilef]

it's 100 and 60 not 600:

301, 601, 901 all result in a remainder of 1 when divided by either 100 or 60.