CAT 2019 QA Question Paper Quant Slot 2 Question

Question 13

If $$5^x - 3^y = 13438$$ and $$5^{x - 1} + 3^{y + 1} = 9686$$, then x + y equals


Correct Answer: 13

Solution

$$5^x - 3^y = 13438$$ and $$5^{x - 1} + 3^{y + 1} = 9686$$

$$5^{x} + 3^{y}*15 = 9686*5$$

$$5^{x} + 3^{y}*15 = 48430$$

16*$$3^y$$=34992

$$3^y$$ = 2187

y = 7

$$5^x$$=13438+2187=15625

x=6

x+y = 13

Video Solution

video

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Also Read

CAT Mock Tests
CAT Online Coaching
CAT Previous Year Papers
Free CAT Preparation
CAT Questions
CAT Formulas PDF
CAT Study Material
CAT Score vs Percentile
CAT Percentile Predictor
CAT Sectional Tests
CAT Exam
CAT Preparation Videos
CAT Registration
CAT Syllabus
CAT Eligibility Criteria
CAT Admit Card

Free CAT Quant Questions

CAT Progressions and Series

CAT Coordinate Geometry

CAT Profit, Loss and Interest

CAT Quadratic Equations

CAT PGDBA Calculus

CAT Time, Distance and Work

CAT Averages, Ratio and Proportion

CAT Percentages

CAT Geometry

CAT Profit, Loss and Interest

CAT Functions, Graphs and Statistics

CAT Data Sufficiency

CAT Venn Diagrams

CAT Quadratic Equations

CAT Functions, Graphs and Statistics

CAT Time Speed Distance

CAT Averages, Ratio and Proportion

CAT Averages Mixtures Alligations

CAT Linear Equations

CAT Progressions and Series

CAT Geometry

CAT Time, Distance and Work

CAT Probability, Combinatorics

CAT Number Systems

CAT Inequalities

CAT Probability, Combinatorics

CAT Inequalities

CAT Quadratic Equations

CAT Averages, Ratio and Proportion

CAT Number Systems

CAT Inequalities

CAT Progressions and Series

CAT Venn Diagrams

CAT Venn Diagrams

CAT Linear Equations

CAT Progressions and Series

CAT Profit And Loss

CAT Functions, Graphs and Statistics

CAT Number Systems

CAT Time, Distance and Work

CAT Quadratic Equations

CAT Probability, Combinatorics

CAT Data Sufficiency

CAT Logarithms, Surds and Indices

CAT Probability, Combinatorics

CAT Number Series

CAT Functions, Graphs and Statistics

CAT Logarithms, Surds and Indices

CAT Geometry

CAT Arithmetic

CAT Number Systems

CAT Simple Interest Compound Interest

CAT Time, Distance and Work

CAT Averages, Ratio and Proportion

CAT Logarithms

CAT Time And Work

CAT Remainders

CAT Linear Equations

CAT Venn Diagrams

CAT Logarithms, Surds and Indices

CAT Data Sufficiency

CAT Profit, Loss and Interest

CAT Geometry

CAT Data Sufficiency

CAT Inequalities

CAT Averages

CAT Logarithms, Surds and Indices

CAT Profit, Loss and Interest

CAT Algebra

CAT Linear Equations

CAT Mensuration

cracku

Boost your Prep!

Download App