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CDS - Elementary Mathematics Test-54
Result
CDS - Elementary Mathematics Test-54

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  • Question 1/10
    1 / -0

    Solutions

     

  • Question 2/10
    1 / -0

    Solutions

     

  • Question 3/10
    1 / -0

    Solutions

    from equation 1 

    X2+ax+b=0 

    M+n = -a and mn=b 

    Similarly in equation 2 

    M2+n2 = c and m2n2 = d 

    (m+n)2 = m2+n2+2mn 

    A2= c+2b 

    Hence statement 1 is not correct 

    And m2n2=(mn)2àd=b2 

    Statement 2 is correct

     

     

  • Question 4/10
    1 / -0

    If x + y + z =  6, then the value of is (x - 1)3 + (y+2)3 + (z - 3)3 is

    Solutions

     

  • Question 5/10
    1 / -0

    If one roots of the equation px2 +px + r = 0 is three times the other, then which one of the following relations is correct?

    Solutions

    Let the root be a and 3a 

    Then product of the roots= 3a2 = r/p 

    And sum of the roots = a+3a=4a = -q/p 

    Now substituting value of a in equation 1 

    →a=-q/4p 

    3(-q/4p)2 = r/p 

    3(q2/16p2) = r/p 

    3q2= 16pr

     

     

  • Question 6/10
    1 / -0

    Solutions

     

  • Question 7/10
    1 / -0

    Solutions

    a2b4+2a2b2 = a2b2(b2+2) 

    (ab)7 – 4a2b9 = a2b7(a5-4b2) 

    HCF=a2b2

     

     

  • Question 8/10
    1 / -0

    Solutions

     

  • Question 9/10
    1 / -0

    Solutions

     

  • Question 10/10
    1 / -0

    Solutions

    Sum of the roots= -b/a 
    Product of the roots = ab 
    Now only statement 2 is correct

     

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