July 9, 2010

Quantitative Ability - Question of the Day

QUESTION:-
If the quadratic equation ax^2 + bx + c = 0 has two real roots, both greater than 2, then which of the following is true about the value of the expression



OPTIONS:-

1) S can take any non-negative value
2) S is negative
3) S is positive
4) S > 1
5) None of these

SOLUTION:-

Let (2 + x) and (2 + y) be the roots of the given equation, where both x and y are positive.
Now, Sum of the roots =  (-b/a) = 2+x+2+y = 4+x+y
∴ c = a (4 + 2x + 2y + xy)



= −2(4 + x + y) + (4 + 2x + 2y + xy) + 4
= xy
Since both x and y are positive, S > 0
Hence, option 3.







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5 comments:

  1. Dear Sir,
    Happy to see that someone is there to help us.
    Some of my friends are getting SMS from you daily, I found that those SMS are very useful and help them to improve there vocab easily.
    I also want to subscribe for these SMS.
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    Ashwini Sirohi, Gurgaon

    ReplyDelete
  2. Option (3) S is positive.
    Am I right??
    Ankur, Ghaziabaad

    ReplyDelete
  3. You are doing well Mr.Ankur.
    You are right. Option(3) is the right answer.

    ReplyDelete
  4. Respected Sir
    I want to know that how can I clear my basics in Quant??

    Thanking you

    ReplyDelete
  5. Dear Mr. Ankur,
    In order to clear your basics in Quant, you need to work on your 10th and 12th mathematics, fundamental books.
    If any MBA entrance coaching institute says that it can help you to clear your basics, then I am sorry to say but none of our users has gave us any positive feedback about that.
    Please work with your 10th and 12th mathematics at home. As you are familiar whith those topics, just need to refresh it but with full concentration. Just pickup those books, go through it. Your mentors at coaching center will say that its useless, they will say that you should study with there funda. books only. But it all business. Basics are not just a game of one or two classes.
    These guys finish one fundabook in two or three classes, but you need to work your self at home with the books.

    The best way to prepare for any MBA entrance exam is to solve one question of each section everyday.
    That's why we provide it here for students.

    ReplyDelete

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