IPMAT Question Paper 2019 | IPM Indore Quants

IPMAT Sample Paper | IPMAT Question Paper | Question 3
× IPMAT Question Paper

CAT Questions

CAT Quantitative Aptitude
HCF and LCM Factors Remainders Factorials Digits Ratios,Mixtures;Averages Percents; Profits; SICI Speed & Time; Races Logarithms and Exponents Pipes,Cisterns; Work,Time Set Theory Geometry Mensuration Trigonometry Linear & Quadratic Equations Functions Inequalities Polynomials Progressions Permutation Probability
CAT Verbal
Para Jumble Sentence Correction Sentence Elimination Paragraph Completion Reading Comprehension Critical Reasoning Word Usage Para Summary Text Completion
CAT LR DI
DI LR: Bar Graphs DI LR: Pie Charts DI LR: Multiple Graphs DI LR: Word Problems DI LR: Line Graphs DI LR: Sequencing DI LR: Grid Puzzles DI LR: Math Puzzles DI LR: Visualization DI LR: Other Patterns DI LR: CAT 2017 Assets DI LR: CAT 2017 Pizza DI LR: CAT 2017 Electives DI LR: CAT 2017 Chess DI LR: CAT 2017 Dorms DI LR: CAT 2017 Tea DI LR: CAT 2017 Friends DI LR: CAT 2017 Cet DI LR: CAT 2017 Rural Survey DI LR: CAT 2017 Happiness
IPM Sample Paper
IPMAT 2019 Indore Verbal IPMAT 2020 Rohtak Quants IPMAT 2020 Rohtak Verbal IPMAT 2020 Rohtak LR


CAT Online Coaching
CAT Question MenuCAT Questions

IPMAT 2019 Question Paper IPM Indore Quantitative Ability. Solve questions from IPMAT 2019 Question Paper from IPM Indore and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here:IPM Sample Paper

Question 3: A real-valued function f satisfies the relation f(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6y, for all real numbers x and y, then the value of f(8) is


    🌾 Makar Sankranti Discount!
    5,000 off on CAT Online courses
    Valid until 16th Jan


    2IIM : Best Online CAT Coaching.


    Video Explanation


    Best CAT Coaching in Chennai


    CAT Coaching in Chennai - CAT 2021
    Online Batches Available Now!


    Explanatory Answer

    f (x) f (y) = f (2xy + 3) + 3f (x + y) - 3f (y) + 6y

    Putting x = y = 0,
    f (0) f (0) = f (2.0.0 + 3) + 3f (0 + 0) - 3f (0) + 6.0
    f (0)2= f (3) + 3f (0) - 3f (0) + 0

    f (3) = f (0)2

    Putting y = 0,
    f (x) f (0) = f (2.x.0 + 3) + 3f (x + 0) - 3f (0) + 6.0
    f (x) f (0) = f (3) + 3f (x) - 3f (0)

    f (x) f (0) = f (0)2+ 3f (x) - 3f (0)
    f (x) f (0) - f (0)2= 3f (x) - 3f (0)
    f (0) * (f (x)- f (0)) = 3 * (f (x)- f (0))

    Either f(x) = f(0) or f(0) = 3

    Since all functions can’t have the same value, f(0)=3.

    Putting x=0, y=3,
    f (0) f (3) = f (2.0.3 + 3) + 3f (0 + 3) - 3f (3) + 6.3
    f(0) f(3) = f(3) + 3f(3) -3f(3) +18 = f(3) +18.
    3 f(3) = f(3) + 18. Therefore, f(3) =9.

    f(3) = 9.

    Putting x=0, y=8.

    f (0) f (8) = f (2.0.8 + 3) + 3f (0+ 8) - 3f (8) + 6.8
    3.f(8) = f(3) + f(8) – f(8) + 48
    3. f(8) = 9 + 48.
    f(8) = 19

    The question is"A real-valued function f satisfies the relation f(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6y, for all real numbers x and y, then the value of f(8) is"

    Hence, the answer is 19

     

    CAT Questions | CAT Quantitative Aptitude

    CAT Questions | CAT DILR

    CAT Questions | Verbal Ability for CAT


    Where is 2IIM located?

    2IIM Online CAT Coaching
    A Fermat Education Initiative,
    58/16, Indira Gandhi Street,
    Kaveri Rangan Nagar, Saligramam, Chennai 600 093

    How to reach 2IIM?

    Phone: (91) 44 4505 8484
    Mobile: (91) 99626 48484
    WhatsApp: WhatsApp Now
    Email: prep@2iim.com