Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 9
Consider the formula, $$S=\frac{\alpha\times\omega}{\tau+\rho\times\omega}$$ positive integers. If ⍵ is increased and ⍺, τ and ρ are kept constant, then S:
Solution
Expression : $$S=\frac{\alpha\times\omega}{\tau+\rho\times\omega}$$
=> $$\frac{1}{S} = \frac{\tau+\rho\times\omega}{\alpha\times\omega}$$
=> $$\frac{1}{S} = \frac{\tau}{\alpha \omega} + \frac{\rho}{\omega}$$
Since, $$\tau, \rho$$ and $$\alpha$$ are constant,
=> $$\frac{1}{S} = \frac{k_1}{\omega} + k_2$$
Thus, $$S \propto \omega$$
$$\therefore$$ When $$\omega$$ increases, S increases.
XAT Quant Questions | XAT Quantitative Ability
XAT Number Systems QuestionsXAT Geometry QuestionsXAT Data Sufficiency QuestionsXAT Venn Diagrams QuestionsXAT Linear Equations Questions
XAT DILR Questions | LRDI Questions For XAT
XAT Selection With Condition QuestionsXAT Table with Missing values QuestionsXAT Games and Tournamnents QuestionsXAT Special Charts QuestionsXAT Arrangement Questions
