Quantitative Aptitude – Equation – How many pairs (a, b) of positive integers


Slot – 3 – Quantitative Aptitude – Equation – How many pairs (a, b) of positive integers


Q. How many pairs (a, b) of positive integers are there such that a ≤ b and ab= 4^2017?
  1. 2018
  2. 2017
  3. 2020
  4. 2019
Answer: 2018

Solution:
Given ab = 4^2017 = 2^4034
Number of factors of 2^4034 = 4035
Number of pairs (a,b) such that a*b = 2^4034 = (4035+1)/2 = 2018
As a <= b so order pair will be 2018.


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