Quant Question Of The Day: 49
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Numbers
If a’ and ‘b’ are two positive integers such that their HCF is 36 and LCM is 540. Find the sum of all possible values of ‘a’.
1. 576
2. 540
3. 864
4. None of these
Since 36 is the HCF of a and b , a = 36x and b = 36y and HCF (x,y) =1
LCM (a , b) = 36xy = 540
xy = 15
x can take values 1, 3, 5 and 15
a = 36 , 108 , 180 and 540
Sum of all possible values of a = 36 + 108 + 180 + 540= 864
Option (3)
See our previous ‘Questions of the Day’:
C-864
864
864
864