CAT 2019 Question Paper | Quants Slot 1

CAT Questions

This appeared in the CAT 2019 question paper. It is from the exponents topic. Exponents usually are a tough topic but we do get some easy questions occasionally. Analyzing CAT previous year paper, there are usually 2 or 3 questions that one can expect from this topic. Hence it is very important that you prepare for this topic religiously during your Online CAT Preparation

Question 2 : If (5.55)^x = (0.555)^y = 1000, then the value of \\frac{1}{x}) - \\frac{1}{y}) is

1. 1
2. \\frac{1}{3})
3. \\frac{2}{3})
4. 3

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Video Explanation

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Explanatory Answer

(5.55)^x = (0.555)^y = 1000
=> (5.55)^x = 1000
=> (5.55) = ---- (1)
Similarly, 0.555 = ---- (2)
Divide (1) by (2), We get

10 =
=
- =

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The question is "If (5.55)^x = (0.555)^y = 1000, then the value of \\frac{1}{x}) - \\frac{1}{y}) is"

Hence, the answer is \\frac{1}{3})

Choice B is the correct answer.

 

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