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Quantitative Ability

Description: Arithmetic
Number of Questions: 15
Created by:
Tags: Mock Test Quadratic Equations
Attempted 0/15 Correct 0 Score 0

Solve x2 - 5x + 6.

  1. x = 2, 3

  2. x = - 2, - 3

  3. x = 0, 6

  4. Irrational roots

  5. None of these


Correct Option: A
Explanation:

We can factorise as (x - 3)(x - 2) = 0 and equate each factor to 0 to get x = 3, 2.

The roots of x2 - 3x + 16 = 0 are

  1. equal

  2. rational

  3. irrational

  4. imaginary

  5. None of these


Correct Option: D
Explanation:

Discriminant = 9 - 64 < 0 Hence, there are  imaginary roots only.

ax2 + bx + c is a/an

  1. quadratic equation

  2. linear expression

  3. quadratic expression

  4. cubic expression

  5. None of these


Correct Option: C
Explanation:

It is the correct answer.

The solutions of 3x2 - 4x + 1 = 0 are

  1. 0, 0

  2. 1, 2

  3. 3, 1/3

  4. 1, 1/3

  5. None of these


Correct Option: D
Explanation:

It is the correct answer.

If a, b are roots of 2x2 - 7x - 3 = 0, then ab is equal to

  1. 7/2

  2. 3/2

    • 3/2
    • 3
  3. None of these


Correct Option: C
Explanation:

Product of roots = c/a 

The sum of roots of x2 - 3x + 2 = 0 is

  1. 1

  2. 3

    • 3/2
    • 3
  3. None of these


Correct Option: B
Explanation:

It is correct.

The equation 16x2 - 8x + 1 = 0 has

  1. equal roots

  2. imaginary roots

  3. irrational roots

  4. rational, but distinct roots

  5. None of these


Correct Option: A
Explanation:

b- 4ac = 64 - 64 = 0

The nature of the roots of 2x2 - 6x - 3 = 0 is

  1. irrational

  2. real and equal

  3. real, rational and distinct

  4. imaginary

  5. None of these


Correct Option: C
Explanation:

It is the correct answer.

If the roots of equation 10x2 - 2x - m = 0 are equal, then

  1. m = 2

  2. m = - 1/10

  3. m = 3

  4. m = 0

  5. None of these


Correct Option: B
Explanation:

Discriminant = b- 4ac = 0 

Find the quadratic equation with real coefficients which has one root as 1 + 2i.

  1. x2 - 2x - 5 = 0

  2. x2 - 2x + 5 = 0

  3. x2 + 2x + 5 = 0

  4. x2 + 2x - 5 = 0

  5. None of these


Correct Option: B
Explanation:

It is the correct answer.

Solve 7x2 - 9x + 2 = 0.

  1. x = 1, 2/7

  2. x = 1/7, 2

  3. x = - 1, 2/7

  4. x = 1, - 2/7

  5. None of these


Correct Option: A
Explanation:

7x- 9x + 2 = 0 7X- 7x - 2x + 2 = 0 7x(x - 1) - 2(x - 1) = 0 (7x - 2)(x - 1) = 0 

If the equation x2 - 9x + m = 0 has only imaginary roots, find the value of m.

  1. m = 20

  2. m = 20 or 25

  3. m < 20 or 25

  4. m > 20.25

  5. None of these


Correct Option: D
Explanation:

.b- 4ac < 0 81 - 4m < 0 m > 20.25

If m, n are roots of x2 - 3x + 4 = 0, find the value of (m - n)2.

    • 7
  1. 5

  2. 2

  3. 3

  4. None of these


Correct Option: A
Explanation:

It is the correct answer.

The sum of 2 numbers is 9 and the sum of their squares is 53. The equation formed will be

  1. x2 + 9x - 14 = 0

  2. x2 + 9x + 14 = 0

  3. x2 - 9x - 14 = 0

  4. x2 - 9x + 14 = 0

  5. None of these


Correct Option: D
Explanation:

It is the correct answer. 

If a, b are roots of x2 + 7x + 12 = 0, find the equation whose roots are (a + b)2 and (a - b)2.

  1. x2 - 50x + 49 = 0

  2. x2 - 50x - 49 = 0

  3. x2 + 50x + 49 = 0

  4. x2 + 50x - 49 = 0

  5. None of these


Correct Option: A
Explanation:

Sum of roots = (a + b)+ (a - b)2 = 2(a+ b2) = 2[(a + b)- 2ab] = 2(49 - 24) = 50. Product = (a + b)2(a - b)2 = 49(49 - 48) = 49

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