Quantitative Aptitude: Quadratic Equations Questions Set 68

  1. In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and give answer.
    2m2+11m+14=0
    4n2+12n+9=0
    if m < n
    if m > n
    if m ≤ n
    If m ≥ n
    if m = n or no relation can be established
    Option A
    From eq (a),2m^2+4m+7m+14=0
    2m(m+2)+7(m+2)=0
    m= -2,-3.5
    From eq (b),(2n+3)^2=0
    n= -1.5 , -1.5

     

  2. m^2 – 4 = 0
    n^2 + 6n + 9=0
    if m < n
    if m > n
    if m ≤ n
    If m ≥ n
    if m = n or no relation can be established
    Option B
    From eq(a),m = +-2
    From eq(b), n^2 + 3n + 3n + 9=0
    n = -3 ,- 3

     

  3. m^2 – 7m + 12 = 0
    n^2 + n -12=0
    if m < n
    if m > n
    if m ≤ n
    If m ≥ n
    if m = n or no relation can be established
    Option D
    From eq (a), m^2 – 3m – 4m +12=0
    m(m-3)-4(m-3)=0
    m=3,4
    From eq(b) , n(n+4) -3(n+4) = 0
    n =3, -4

     

  4. m^2 = 729
    n = √529
    if m < n
    if m > n
    if m ≤ n
    If m ≥ n
    if m = n or no relation can be established
    Option E
    m = +-27
    n = 23

     

  5. m^4 – 227 = 398
    n^2 + 321 = 346
    if m < n
    if m > n
    if m ≤ n
    If m ≥ n
    if m = n or no relation can be established
    Option E
    m^4 = 625 = +-5
    n^2 = 346-321 =+-5

     

  6. x^2 – 12p +35=0
    q^2 – 25=0
    if x > y
    if x ≥ y
    if x < y
    if x ≤ y
    if x = y or there is no relation between ‘x’ and ‘y’
    Option B
    From eq(a) , x^2 -7x – 5x +35 =0
    x(x-7) – 5(x-7)=0
    x= 5,7
    From eq (b) ,y = 5 , -5

     

  7. 2x^2+5x -12=0
    2y^2 -y – 1=0
    if x > y
    if x ≥ y
    if x < y
    if x ≤ y
    if x = y or there is no relation between ‘x’ and ‘y’
    Option E
    From eq(a) , 2x^2+8x-3x-12=0
    2x(x+4)-3(x+4)=0
    x=1.5 , -4
    From eq(b) , 2y^2 – 2y +y – 1=0
    y = -0.5 , 1

     

  8. x^2=49
    y^2+15y+56 =0
    if x > y
    if x ≥ y
    if x < y
    if x ≤ y
    if x = y or there is no relation between ‘x’ and ‘y’
    Option B
    x=7 , -7
    y^2 + 7q + 8q + 56=0
    y = – 7, -8

     

  9. 4x^2 – 4x+15=0
    2y^2 +5y – 7=0
    if x > y
    if x ≥ y
    if x < y
    if x ≤ y
    if x = y or there is no relation between ‘x’ and ‘y’
    Option A

     

  10. (x+y)^2 = 3136
    y +2513 = 2569
    if x > y
    if x ≥ y
    if x < y
    if x ≤ y
    if x = q or there is no relation between ‘x’ and ‘y’
    Option C

     


Related posts