Aptitude/Aptitude Quadratic Equations Sample Test,Sample questions

Question:
 A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?

1.10

2.8

3.15

4.None of these


Question:
 Find the roots of quadratic equation: x2 + x - 42 = 0?

1. -6, 7

2.-8, 7

3.14, -3

4.-7, 6


Question:
 I. 9a2 + 18a + 5 = 0,
II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b?

1.If a > b

2.If a ≥ b

3. If a < b

4. If a ≤ b


Question:
 I. a2 - 2a - 8 = 0,
II. b2 = 9 to solve both the equations to find the values of a and b?

1. If a < b

2.If a ≤ b

3.If the relationship between a and b cannot be established

4. If a > b


Question:
 I. a3 - 988 = 343,
II. b2 - 72 = 49 to solve both the equations to find the values of a and b?

1.If a > b

2. If a ≥ b

3.If a < b

4.If a ≤ b


Question:
 I. x2 + 11x + 30 = 0,
II. y2 + 15y + 56 = 0 to solve both the equations to find the values of x and y?

1. If x < y

2.If x > y

3.If x ≤ y

4.If x ≥ y


Question:
 I. x2 + 5x + 6 = 0,
II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y?

1.If x < y

2. If x > y

3.If x ≤ y

4. If x ≥ y


Question:
 If the roots of a quadratic equation are 20 and -7, then find the equation?

1. x2 + 13x - 140 = 0

2. x2 - 13x + 140 = 0

3. x2 - 13x - 140 = 0

4.x2 + 13x + 140 = 0


Question:
 If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?

1.3

2.4

3.5

4.6


Question:
 The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

1.9, 10

2.10, 11

3.11, 12

4.None of these


Question:
 The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

1.9, 10

2.10, 11

3.11, 12

4.None of these


Question:
. I. a2 - 7a + 12 = 0,
II. b2 - 3b + 2 = 0 to solve both the equations to find the values of a and b?

1.if a < b

2. if a ≤ b

3.if the relationship between a and b cannot be established

4. if a > bE. if a ≥ b


Question:
. I. a2 - 7a + 12 = 0,
II. b2 - 3b + 2 = 0 to solve both the equations to find the values of a and b?

1.if a < b

2. if a ≤ b

3.if the relationship between a and b cannot be established

4. if a > bE. if a ≥ b


Question:
. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?

1.18, 20,22

2.20, 22, 24

3.22, 24, 26

4.None of these


Question:
Find the roots of quadratic equation: 2x2 + 5x + 2 = 0?

1. -2, -1/2

2. 4, -1

3. -2, 5/2

4.None of these


Question:
Find the roots of quadratic equation: 3x2 - 7x - 6 = 0?

1. -6, 3

2.3, -2/3

3.-5, 2

4.None of these


Question:
Find the roots of the quadratic equation: 2x2 + 3x - 9 = 0?

1.3, -3/2

2.3/2, -3

3.-3/2, -3

4.3/2, 3


Question:
Find the roots of the quadratic equation: x2 + 2x - 15 = 0?

1. -5, 3

2.3, 5

3.-3, 5

4.-3, -5


Question:
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?

1.15

2.14

3.24

4.None of these


Question:
I. a2 + 11a + 30 = 0,
II. b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?

1.If a < b

2. If a ≤ b

3.If the relationship between a and b cannot be established

4. If a > b


Question:
I. a2 - 13a + 42 = 0,
II. b2 - 15b + 56 = 0 to solve both the equations to find the values of a and b?

1.If a > b

2. If a ≥ b

3.If a < b

4.If a ≤ b


Question:
I. a2 - 9a + 20 = 0,
II. 2b2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?

1.If a < b

2.If a ≤ b

3.If the relationship between a and b cannot be established

4. If a ≥ b


Question:
I. x2 + 3x - 18 = 0,
II. y2 + y - 30 = 0 to solve both the equations to find the values of x and y?

1.If x < y

2.If x > y

3. If x ≤ y

4. If x = y or the relationship between x and y cannot be established.


Question:
I. x2 - x - 42 = 0,
II. y2 - 17y + 72 = 0 to solve both the equations to find the values of x and y?

1. If x < y

2. If x > y

3.If x ≤ y

4.If x ≥ y


Question:
If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?

1.-21

2.1

3.61

4.21


Question:
ind the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?

1.3x2 + 5x - 2 = 0

2.3x2 + 5x + 2 = 0

3.3x2 - 5x + 2 = 0

4.None of these


Question:
One root of the quadratic equation x2 - 12x + a = 0, is thrice the other. Find the value of a?

1.29

2.-27

3.28

4.7


Question:
The roots of the equation 3x2 - 12x + 10 = 0 are?

1.rational and unequal

2.complex

3.real and equal

4.irrational and unequal


Question:
The sum and the product of the roots of the quadratic equation x2 + 20x + 3 = 0 are?

1.10, 3

2. -10, 3

3.20, -3

4.None of these


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