CAT 2007 QA Question

Instructions

Directions for the following two questions:

Let $$a_1= p$$ and $$b_1 = q$$, where p and q are positive quantities.

Define $$a_n = pb_{n-1} , b_n = qb_{n-1}$$ , for even n > 1. and $$a_n = pa_{n-1} , b_n = qa_{n-1}$$ , for odd n > 1.

Question 13

Which of the following best describes $$a_n + b_n$$ for even n?

Solution

$$a_n + b_n$$ for even n = $$p*b_{n-1} + q*b_{n-1}$$

= $$(p+q)*b_{n-1}$$

$$b_{n-1} = q*a_{n-2} = qp*b_{n-3}$$

= $$q^2*p*a_{n-4} = q^2p^2*b_{n-5}$$

.

.

= $$(qp)^{n/2-1}*b_1 = (qp)^{n/2-1}*q$$

So, $$a_n + b_n$$ = $$q(pq)^{(n/2) -1}(p+q)$$


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 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 Averages, Ratio and Proportion

CAT Linear Equations

CAT Remainders

CAT Functions, Graphs and Statistics

CAT Linear Equations

CAT Inequalities

CAT Time, Distance and Work

CAT Inequalities

CAT Quadratic Equations

CAT Averages, Ratio and Proportion

CAT Progressions and Series

CAT Simple Interest Compound Interest

CAT Functions, Graphs and Statistics

CAT Functions, Graphs and Statistics

CAT Profit And Loss

CAT Linear Equations

CAT Data Sufficiency

CAT Mensuration

CAT Averages Mixtures Alligations

CAT Logarithms, Surds and Indices

CAT Venn Diagrams

CAT Logarithms, Surds and Indices

CAT Venn Diagrams

CAT Percentages

CAT Profit, Loss and Interest

CAT Averages

CAT Time Speed Distance

CAT Number Systems

CAT Progressions and Series

CAT Data Sufficiency

CAT Time, Distance and Work

CAT Geometry

CAT Probability, Combinatorics

CAT Averages, Ratio and Proportion

CAT Inequalities

CAT Arithmetic

CAT Profit, Loss and Interest

CAT Algebra

CAT Geometry

CAT Progressions and Series

CAT Averages, Ratio and Proportion

CAT PGDBA Calculus

CAT Inequalities

CAT Number Systems

CAT Progressions and Series

CAT Logarithms, Surds and Indices

CAT Venn Diagrams

CAT Data Sufficiency

CAT Number Series

CAT Quadratic Equations

CAT Number Systems

CAT Number Systems

CAT Geometry

CAT Time And Work

CAT Data Sufficiency

CAT Coordinate Geometry

CAT Time, Distance and Work

CAT Probability, Combinatorics

CAT Profit, Loss and Interest

CAT Linear Equations

CAT Profit, Loss and Interest

CAT Probability, Combinatorics

CAT Quadratic Equations

CAT Quadratic Equations

CAT Logarithms, Surds and Indices

CAT Geometry

CAT Probability, Combinatorics

CAT Functions, Graphs and Statistics

CAT Venn Diagrams

CAT Time, Distance and Work

CAT Logarithms

cracku

Boost your Prep!

Download App