CAT Number Theory – Final few questions

Have given below few more questions on Number Theory
  1. A 4-digit number of the form aabb is a perfect square. What is the value of a-b?
  2. LCM of three numbers is equal to 1080; HCF of the three numbers is equal to 2. How many such triplets are possible?
  3. N leaves a remainder of 4 when divided by 33, what are the possible remainders when N is divided by 55?

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