Question 49

The product of two numbers is 45 and their difference is 4. What is the sum of squares of these two numbers?

Solution

Share

Let the numbers be x and y
It is given,
xy = 45
x - y = 4
squaring on both sides, we get
$$x^2+y^2-2xy\ =\ 16$$
$$x^2+y^2$$ = 16 + 2(45) = 106

Answer is option A.

Get AI Help

View More Questions From Quadratic Equations

Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Time Speed Distance QuestionsCAT Arithmetic QuestionsCAT Remainders QuestionsCAT Mensuration QuestionsCAT Quadratic Equations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Data change over a period QuestionsCAT Data Interpretation Basics QuestionsCAT Special Charts QuestionsCAT Scheduling QuestionsCAT Selection With Condition Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Critical Reasoning QuestionsCAT Grammar and Sentence Correction QuestionsCAT Para Summary QuestionsCAT Reading Comprehension QuestionsCAT Vocabulary Questions

Free CAT Quant Questions

CAT GeometryCAT Number SystemsCAT Probability, CombinatoricsCAT Averages Mixtures AlligationsCAT Averages, Ratio and ProportionCAT LogarithmsCAT ArithmeticCAT AveragesCAT Number SeriesCAT Time And WorkCAT Linear EquationsCAT InequalitiesCAT Functions, Graphs and StatisticsCAT RemaindersCAT Simple Interest Compound InterestCAT Profit and LossCAT MiscellaneousCAT Time, Speed and DistanceCAT Venn DiagramsCAT AlgebraCAT Quadratic EquationsCAT Logarithms, Surds and IndicesCAT MensurationCAT Profit And LossCAT Time Speed DistanceCAT Progressions and SeriesCAT Data SufficiencyCAT PercentagesCAT Coordinate Geometry

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI