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Aptitude Quadratic Equations
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Aptitude Quadratic Equations
1
Find the roots of the quadratic equation: x2 + 2x - 15 = 0?
A
-5, 3
B
3, 5
C
-3, 5
D
-3, -5
2
Find the roots of the quadratic equation: 2x2 + 3x - 9 = 0?
A
3, -3/2
B
3/2, -3
C
-3/2, -3
D
3/2, 3
3
The roots of the equation 3x2 - 12x + 10 = 0 are?
A
rational and unequal
B
complex
C
real and equal
D
irrational and unequal
4
If the roots of a quadratic equation are 20 and -7, then find the equation?
A
x2 + 13x - 140 = 0
B
x2 - 13x + 140 = 0
C
x2 - 13x - 140 = 0
D
x2 + 13x + 140 = 0
5
The sum and the product of the roots of the quadratic equation x2 + 20x + 3 = 0 are?
A
10, 3
B
-10, 3
C
20, -3
D
None of these
6
If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
A
3
B
4
C
5
D
6
7
The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
A
9, 10
B
10, 11
C
11, 12
D
None of these
8
One root of the quadratic equation x2 - 12x + a = 0, is thrice the other. Find the value of a?
A
29
B
-27
C
28
D
7
9
. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
A
18, 20,22
B
20, 22, 24
C
22, 24, 26
D
None of these
10
If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
A
-21
B
1
C
61
D
21
11
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?
A
15
B
14
C
24
D
None of these
12
ind the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
A
3x2 + 5x - 2 = 0
B
3x2 + 5x + 2 = 0
C
3x2 - 5x + 2 = 0
D
None of these
13
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?
A
10
B
8
C
15
D
None of these
14
. I. a2 - 7a + 12 = 0, II. b2 - 3b + 2 = 0 to solve both the equations to find the values of a and b?
A
if a < b
B
if a ≤ b
C
if the relationship between a and b cannot be established
D
if a > bE. if a ≥ b
15
. I. a2 - 7a + 12 = 0, II. b2 - 3b + 2 = 0 to solve both the equations to find the values of a and b?
A
if a < b
B
if a ≤ b
C
if the relationship between a and b cannot be established
D
if a > bE. if a ≥ b
16
I. a2 - 9a + 20 = 0, II. 2b2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?
A
If a < b
B
If a ≤ b
C
If the relationship between a and b cannot be established
D
If a ≥ b
17
I. a2 + 11a + 30 = 0, II. b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?
A
If a < b
B
If a ≤ b
C
If the relationship between a and b cannot be established
D
If a > b
18
I. a2 - 2a - 8 = 0, II. b2 = 9 to solve both the equations to find the values of a and b?
A
If a < b
B
If a ≤ b
C
If the relationship between a and b cannot be established
D
If a > b
19
I. x2 + 5x + 6 = 0, II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y?
A
If x < y
B
If x > y
C
If x ≤ y
D
If x ≥ y
20
I. x2 - x - 42 = 0, II. y2 - 17y + 72 = 0 to solve both the equations to find the values of x and y?
A
If x < y
B
If x > y
C
If x ≤ y
D
If x ≥ y
21
I. x2 + 3x - 18 = 0, II. y2 + y - 30 = 0 to solve both the equations to find the values of x and y?
A
If x < y
B
If x > y
C
If x ≤ y
D
If x = y or the relationship between x and y cannot be established.
22
I. x2 + 11x + 30 = 0, II. y2 + 15y + 56 = 0 to solve both the equations to find the values of x and y?
A
If x < y
B
If x > y
C
If x ≤ y
D
If x ≥ y
23
I. 9a2 + 18a + 5 = 0, II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b?
A
If a > b
B
If a ≥ b
C
If a < b
D
If a ≤ b
24
I. a3 - 988 = 343, II. b2 - 72 = 49 to solve both the equations to find the values of a and b?
A
If a > b
B
If a ≥ b
C
If a < b
D
If a ≤ b
25
I. a2 - 13a + 42 = 0, II. b2 - 15b + 56 = 0 to solve both the equations to find the values of a and b?
A
If a > b
B
If a ≥ b
C
If a < b
D
If a ≤ b
26
Find the roots of quadratic equation: 2x2 + 5x + 2 = 0?
A
-2, -1/2
B
4, -1
C
-2, 5/2
D
None of these
27
Find the roots of quadratic equation: x2 + x - 42 = 0?
A
-6, 7
B
-8, 7
C
14, -3
D
-7, 6
28
Find the roots of quadratic equation: 3x2 - 7x - 6 = 0?
A
-6, 3
B
3, -2/3
C
-5, 2
D
None of these
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