AP ICET 2017 Shift 2 Paper

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Question : 85 of 200

Marks: +1, -0

Let and g respectively denote the least common multiple and the greatest common divisor of a and b.If

{h}:g=20:1,{h}+{g}=2520

and

a=480

then

b=

600
800
900
1200

Solution:

h:g=20:1

Let g = x and h = 20x

h+g=21x=2520

⇒x=120

∴ GCD = 120,
LCM

=20x=2400

Product of number = LCM × GCD

∴b={240×120}/480=600

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