a*b is divisible by 540
a*b = 540 s
540 not a mutliple of 48 and so a*b not divisible by 48...
I don't agree with this. Say a*b = 8640(=540*16). Here a=60 & b = 144. Meets all the conditions. and is divisible by 48. but if a*b = 540, its not divisible by 48. So Not sufficient.
a^2 * b is divisible by 36
a^2 * b = 36 q ... equation 1
we know a = 60 n ...equation 2
Divide 1 by 2 a* b = 36/60 qn
a* b = 6/10 qn
if qn= 80 or any other multiple of 80, yes ...but otherwise no
Agree with this. So 2 alone is insufficient.
Now, combine 1 & 2 -
Say a* b is 8640(a=60 and b=144) here all conditions are satisfied and is divisible by 48.
Now, say a* b is 540(a=60, b= 9) , here also all the conditions are satisfied but not divisible by 48.
Pls. let me know if I'm missing anything.