CAT 2020 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Quants Questions | Question 5

Are tricky questions from Logarithms and Exponents troubling you? Not sure about which questions you need to practice? Do you also find yourself trying to solve the toughest of questions under this topic to better your concepts?
Solving any and every question won't help. You need to understand the level of question asked in the CAT exam to ace your online CAT preparation. The best way to go about this is to solve questions from CAT previous year paper. Here is a question from Logarithms, try your hands at this and see if you can solve it without looking at the solution provided.
To practice more questions like this, visit 2IIM's CAT Question Bank.

Question 5 : The value of loga\\frac{a}{b}) + logb\\frac{b}{a}), for 1 < a ≤ b cannot be equal to

  1. -0.5
  2. 1
  3. 0
  4. -1

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Explanatory Answer

logaa – logab
logbb – logba
2 – { logab + 1/ logba} [logab + 1/ logba] = [x + 1/x] and value is ≥ 2 and ≤ -2
From the options,
x + 1/x ≠ 1

The question is "The value of loga\\frac{a}{b}) + logb\\frac{b}{a}), for 1 < a ≤ b cannot be equal to"

Hence, the answer is, "1"

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