Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 70
If $$(5.55)^x = (0.555)^y = 1000$$, then the value of $$\frac{1}{x} - \frac{1}{y}$$ is
Solution
We have, $$(5.55)^x = (0.555)^y = 1000$$
Taking log in base 10 on both sides,
x($$\log_{10}555$$-2) = y($$\log_{10}555$$-3) = 3
Then, x($$\log_{10}555$$-2) = 3.....(1)
y($$\log_{10}555$$-3) = 3 .....(2)
From (1) and (2)
=> $$\log_{10}555$$=$$\ \frac{\ 3}{x}$$+2=$$\ \frac{\ 3}{y}+3$$
=> $$\frac{1}{x} - \frac{1}{y}$$ = $$\frac{1}{3}$$
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 35+ CAT previous year papers with video solutions PDF
- 5000+ Topic-wise Previous year CAT Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Time Speed Distance QuestionsCAT Functions, Graphs and Statistics QuestionsCAT Linear Equations QuestionsCAT Coordinate Geometry QuestionsCAT Algebra Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Special Charts QuestionsCAT 2D & 3D LR QuestionsCAT Maxima-Minima QuestionsCAT Miscellaneous LR QuestionsCAT Selection With Condition Questions
