Results 1 to 3 of 3

Math Help - Multiple type of questions...

  1. #1
    Newbie
    Joined
    Sep 2008
    Posts
    13

    Multiple type of questions...

    I have attached an image of the questions I want the answer for. I tried a lot but couldn't get. Basically the problem is I have entrance exam on 5th april and this is the sample paper. Since our syllabus changed therefore many of the questions we can't do.
    Hope people can help here.

    Here are my queries:

    In Q.27. I want to know how to do it the answer is c and d. (I have the answer key with me.)

    In Q.28. is the c) part correct? If yes how?

    In Q29. how is the d) part correct?

    In Q30. I don't know how to do this question at all never saw this question before. If anyone can explain this please surely do.

    In Q32,33,34 How to do them also...

    I know these are many questions but even if someone can solve any of them it would be really a great help .
    I know they should be to their respective threads but it would have taken a lot of time so I apologize for that.
    Attached Thumbnails Attached Thumbnails Multiple type of questions...-scan0001.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,313
    Thanks
    1291
    Quote Originally Posted by siddscool19 View Post
    I have attached an image of the questions I want the answer for. I tried a lot but couldn't get. Basically the problem is I have entrance exam on 5th april and this is the sample paper. Since our syllabus changed therefore many of the questions we can't do.
    Hope people can help here.

    Here are my queries:

    In Q.27. I want to know how to do it the answer is c and d. (I have the answer key with me.)
    p(x)= (x^2- 3x+ 2)(x^2- 7x+ a), q(x)= (x^2- 8x+ 15)(x^2- 6x+ b) and you are told that the H.C.F (highest common factor) is (x-2)(x-4). The fact that that is a common factor means that x-2 and x-4 must be a factor of both p and q. We have 2^2- 3(2)+ 2= 4- 6+ 2= 0 so x- 2 is a factor of x^2- 3x+ 2. Now look at x- 4. 4^2- 3(4)+ 2= 16- 12+ 2= 4 so x- 4 is not a factor of x^2- 3x+ 2. 4^2- 7(4)+ a= 16-28+ a= a- 12. In order that x-4 be a factor, a must equal 12.
    Similarly, for q(x)= (x^2- 8x+ 15)(x^2- 6x+ b). 2^2- 8(2)+ 15= 4- 16+ 15= 3, not 0, so x- 2 must be a factor of x^2- 6x+ b. 2^2- 6(2)+ b= b- 8 so b must be equal to 8.
    You should also check that 4^2- 6(4)+ 8= 0 so that x- 4 also is a factor of x^2- 6x+ 8

    In Q.28. is the c) part correct? If yes how?
    You could do that using a calculator. Or, for c, use the fact that if y= log_{0.4}(3) then 3= 0.4^y and if x= log_4(3) then 3= 4^x[/tex]. Since 4 is larger than .4, it will take a smaller power to equal 3.

    In Q29. how is the d) part correct?
    When i is any number between 0 and 45, 90-i is between 45 and 90. tan(90-i)= cot(i)= 1/tan(i). So ln(tan(90-i))= ln(1/tan(i))= -ln(tan(i)). Every number i, for i between 0 and 45, is canceled by i between 45 and 90.


    In Q30. I don't know how to do this question at all never saw this question before. If anyone can explain this please surely do.
    You can only do problems you have seen before? Surely not!
    The shaded part is all points that are not in A and not in B. "not in A" means "in the complement of A" and "not in B" means "in the complement of B". Finally, "in X and in Y" is "in X intersect Y" so this is "complement of A intersect complement of B".

    In Q32,33,34 How to do them also...

    I know these are many questions but even if someone can solve any of them it would be really a great help .
    I know they should be to their respective threads but it would have taken a lot of time so I apologize for that.
    Last edited by mr fantastic; April 1st 2009 at 03:02 PM. Reason: Added a quote tag
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Sep 2008
    Posts
    13
    Can anyone else also solve these questions?
    I really need help with these entrance exam on 5 April.
    Thanks in advance.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: March 10th 2010, 11:05 PM
  2. Multiple choice questions
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: November 23rd 2009, 11:37 AM
  3. multiple choice questions
    Posted in the Statistics Forum
    Replies: 8
    Last Post: July 27th 2009, 09:29 PM
  4. Need help with plane type of Questions
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: April 27th 2009, 06:17 PM
  5. Help with Poisson and other type questions
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: March 20th 2009, 07:13 PM

Search Tags


/mathhelpforum @mathhelpforum