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
- \\frac{1}{3})
- \\frac{2}{3})
- 3

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(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 =

=

- =

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

**Choice B** is the correct answer.

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