Crack IBPS PO: Quadratic Equation Day 15
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Quadratic Equation
No.of Questions: 10
Time : 10 Minutes
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Question 1 of 10
1. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them

1. x7√2x+24 = 0
y5√2y+12 = 0





Correct
Explanation:
x 43+24 = 0
√x(√x4√2)3√2(√x4√2) =0
√x 3√2, √x4√2 = 0
X = 18, 32.
y 3√2y2√2y+12 = 0
√y(√y3√2)2√2(√y3√2) =0
√y 2√2, √y3√2 = 0
Y= 18, 8
Incorrect
Explanation:
x 43+24 = 0
√x(√x4√2)3√2(√x4√2) =0
√x 3√2, √x4√2 = 0
X = 18, 32.
y 3√2y2√2y+12 = 0
√y(√y3√2)2√2(√y3√2) =0
√y 2√2, √y3√2 = 0
Y= 18, 8

Question 2 of 10
2. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
2.
7x^{2}30x553 = 0
9y^{2}+ 144y+567 = 0





Correct
Explanation:
x=79/7 , 49/7
=11.28, 7
y=63/9 , 81/9
= 7,9
x≥y
Incorrect
Explanation:
x=79/7 , 49/7
=11.28, 7
y=63/9 , 81/9
= 7,9
x≥y

Question 3 of 10
3. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
3.
x^{2}– 30x559 = 0
y^{2}46y+493= 0





Correct
Explanation:
e.
x=43, 13
y=17, 29
Relationship cannot be Established
Incorrect
Explanation:
e.
x=43, 13
y=17, 29
Relationship cannot be Established

Question 4 of 10
4. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
4.
4x^{2}– 61x+222 = 0
6y^{2}35y44= 0





Correct
Explanation:
x= 24/4 , 37/4
=6 , 9.25
y=24/6 , 11/6
=4, 1.833
x>y
Incorrect
Explanation:
x= 24/4 , 37/4
=6 , 9.25
y=24/6 , 11/6
=4, 1.833
x>y

Question 5 of 10
5. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
5.
7x + 8y = 79
17x – 37y = 79





Correct
Explanation:
x=9
y=2
Hence, x > y
Incorrect
Explanation:
x=9
y=2
Hence, x > y

Question 6 of 10
6. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
6.
10x^{2} – 25x+ 150= 0
47y^{2} – 62y + 705 = 0





Correct
Explanation:
x=10/10 , 15/10
= 1 , 1.5
y=47/47, 15/47
Hence, x ≥y
Incorrect
Explanation:
x=10/10 , 15/10
= 1 , 1.5
y=47/47, 15/47
Hence, x ≥y

Question 7 of 10
7. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
7.
x^{2} 42x – 135 = 0
9y^{2} – 64y + 111 = 0





Correct
Explanation:
Therefore x=45 , 3
y=27/9 , 37/9
No Relation can be Determined between x and y
Incorrect
Explanation:
Therefore x=45 , 3
y=27/9 , 37/9
No Relation can be Determined between x and y

Question 8 of 10
8. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
8. 6/x – 38/√x + 56=0
9/y – 39/√y +42=0





Correct
Explanation:
Let a = 1/√x
a^{2} =1/x and x = 1/a^{2}
6a^{2 }– 38a +56 = 0
Therefore, a=24/4 , 14/6
=6, 7/3
x=1/36 , 9/49
Let b= 1/√y
b^{2} =1/y and y = 1/b^{2}
9b^{2 }– 39b +42 = 0
Therefore,
b=21/9,18/9
7/3 , 2
y=9/49 ,1/4
Hence, x≤y
Incorrect
Explanation:
Let a = 1/√x
a^{2} =1/x and x = 1/a^{2}
6a^{2 }– 38a +56 = 0
Therefore, a=24/4 , 14/6
=6, 7/3
x=1/36 , 9/49
Let b= 1/√y
b^{2} =1/y and y = 1/b^{2}
9b^{2 }– 39b +42 = 0
Therefore,
b=21/9,18/9
7/3 , 2
y=9/49 ,1/4
Hence, x≤y

Question 9 of 10
9. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
9.
9x – 6y = 45
7x – 5y = 29





Correct
Explanation:
On solving the 2 equations we get
X= 17, y= 18
Hence, x< y
Incorrect
Explanation:
On solving the 2 equations we get
X= 17, y= 18
Hence, x< y

Question 10 of 10
10. Question
1 points
Category: Aptitude
Direction(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
10.
7x + 9y = 41
17x – 11y = 1





Correct
Explanation:
On solving two equations we get,
X = 2, y = 3
Hence x
Incorrect
Explanation:
On solving two equations we get,
X = 2, y = 3
Hence x
Quizsummary
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IBPS PO Study Planner
Quadratic Equation
No.of Questions: 10
Time : 10 Minutes
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 Review

Question 1 of 10
1. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them

 1. x7√2x+24 = 0
 y5√2y+12 = 0
Correct
Explanation:
x 43+24 = 0
√x(√x4√2)3√2(√x4√2) =0
√x 3√2, √x4√2 = 0
X = 18, 32.
y 3√2y2√2y+12 = 0
√y(√y3√2)2√2(√y3√2) =0
√y 2√2, √y3√2 = 0
Y= 18, 8Incorrect
Explanation:
x 43+24 = 0
√x(√x4√2)3√2(√x4√2) =0
√x 3√2, √x4√2 = 0
X = 18, 32.
y 3√2y2√2y+12 = 0
√y(√y3√2)2√2(√y3√2) =0
√y 2√2, √y3√2 = 0
Y= 18, 8 

Question 2 of 10
2. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
2.
7x^{2}30x553 = 0
9y^{2}+ 144y+567 = 0
Correct
Explanation:
x=79/7 , 49/7
=11.28, 7
y=63/9 , 81/9
= 7,9
x≥y
Incorrect
Explanation:
x=79/7 , 49/7
=11.28, 7
y=63/9 , 81/9
= 7,9
x≥y

Question 3 of 10
3. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
3.
x^{2}– 30x559 = 0
y^{2}46y+493= 0
Correct
Explanation:
e.
x=43, 13
y=17, 29
Relationship cannot be Established
Incorrect
Explanation:
e.
x=43, 13
y=17, 29
Relationship cannot be Established

Question 4 of 10
4. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
4.
4x^{2}– 61x+222 = 0
6y^{2}35y44= 0
Correct
Explanation:
x= 24/4 , 37/4
=6 , 9.25
y=24/6 , 11/6
=4, 1.833
x>y
Incorrect
Explanation:
x= 24/4 , 37/4
=6 , 9.25
y=24/6 , 11/6
=4, 1.833
x>y

Question 5 of 10
5. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
5.
7x + 8y = 79
17x – 37y = 79
Correct
Explanation:
x=9
y=2
Hence, x > y
Incorrect
Explanation:
x=9
y=2
Hence, x > y

Question 6 of 10
6. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
6.
10x^{2} – 25x+ 150= 0
47y^{2} – 62y + 705 = 0
Correct
Explanation:
x=10/10 , 15/10
= 1 , 1.5
y=47/47, 15/47
Hence, x ≥y
Incorrect
Explanation:
x=10/10 , 15/10
= 1 , 1.5
y=47/47, 15/47
Hence, x ≥y

Question 7 of 10
7. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
7.
x^{2} 42x – 135 = 0
9y^{2} – 64y + 111 = 0
Correct
Explanation:
Therefore x=45 , 3
y=27/9 , 37/9
No Relation can be Determined between x and y
Incorrect
Explanation:
Therefore x=45 , 3
y=27/9 , 37/9
No Relation can be Determined between x and y

Question 8 of 10
8. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
8. 6/x – 38/√x + 56=0
9/y – 39/√y +42=0Correct
Explanation:
Let a = 1/√x
a^{2} =1/x and x = 1/a^{2}
6a^{2 }– 38a +56 = 0
Therefore, a=24/4 , 14/6
=6, 7/3
x=1/36 , 9/49
Let b= 1/√y
b^{2} =1/y and y = 1/b^{2}
9b^{2 }– 39b +42 = 0
Therefore,
b=21/9,18/9
7/3 , 2
y=9/49 ,1/4
Hence, x≤y
Incorrect
Explanation:
Let a = 1/√x
a^{2} =1/x and x = 1/a^{2}
6a^{2 }– 38a +56 = 0
Therefore, a=24/4 , 14/6
=6, 7/3
x=1/36 , 9/49
Let b= 1/√y
b^{2} =1/y and y = 1/b^{2}
9b^{2 }– 39b +42 = 0
Therefore,
b=21/9,18/9
7/3 , 2
y=9/49 ,1/4
Hence, x≤y

Question 9 of 10
9. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
9.
9x – 6y = 45
7x – 5y = 29
Correct
Explanation:
On solving the 2 equations we get
X= 17, y= 18
Hence, x< yIncorrect
Explanation:
On solving the 2 equations we get
X= 17, y= 18
Hence, x< y 
Question 10 of 10
10. Question
1 pointsCategory: AptitudeDirection(110)In the following questions, two equations are given. On solving them, we get value of X and Y.Then find the Relationship between them
10.
7x + 9y = 41
17x – 11y = 1
Correct
Explanation:
On solving two equations we get,
X = 2, y = 3
Hence xIncorrect
Explanation:
On solving two equations we get,
X = 2, y = 3
Hence x
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