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Mechanical Engineering Exam  >  Mechanical Engineering Test  >  General Aptitude for GATE  >  Quadratic Equation - MCQ 1 - Mechanical Engineering MCQ

Quadratic Equation - MCQ 1 GATE ME General Aptitude MCQs & solutions Free


MCQ Practice Test & Solutions: Quadratic Equation - MCQ 1 (20 Questions)

You can prepare effectively for Mechanical Engineering General Aptitude for GATE with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Quadratic Equation - MCQ 1". These 20 questions have been designed by the experts with the latest curriculum of Mechanical Engineering 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 40 minutes
  • - Number of Questions: 20

Sign up on EduRev for free to attempt this test and track your preparation progress.

Quadratic Equation - MCQ 1 - Question 1
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x² – 34x + 288 = 0

y² – 28y + 192 = 0

Detailed Solution: Question 1

x² – 34x + 288 = 0
x = 18, 16
y² – 28y + 192 = 0
y = 12, 16

Quadratic Equation - MCQ 1 - Question 2
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x² – 26x + 168 = 0

y² – 32y + 252 = 0

Detailed Solution: Question 2

x² – 26x + 168 = 0
x = 12, 14
y² – 32y + 252 = 0
y = 14, 18

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Quadratic Equation - MCQ 1 - Question 3
Save

x² + 26x + 168 = 0

y² + 23y + 132 = 0

Detailed Solution: Question 3

x² + 26x + 168 = 0
x = -12, -14
y² + 23y + 132 = 0
y = -12, -11

Quadratic Equation - MCQ 1 - Question 4
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x² – 28x + 195 = 0

y² – 30y + 216 = 0

Detailed Solution: Question 4

x² – 28x + 195 = 0
x = 15, 13
y² – 30y + 216 = 0
y = 18, 12

Quadratic Equation - MCQ 1 - Question 5
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x² – 44x + 448 = 0

y² – 28y + 195 = 0

Detailed Solution: Question 5

x² – 44x + 448 = 0
x = 28, 16
y² – 28y + 195 = 0
y = 13, 15

Quadratic Equation - MCQ 1 - Question 6
Save

x² – 26x + 168 = 0

y² – 34y + 285 = 0

Detailed Solution: Question 6

x² – 26x + 168 = 0
x = 12, 14
y² – 34y + 285 = 0
y = 15, 19

Quadratic Equation - MCQ 1 - Question 7
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x² – 38x + 352 = 0

y² – 25y + 154 = 0

Detailed Solution: Question 7

x² – 38x + 352 = 0
x = 22, 16
y² – 25y + 154 = 0
y = 11, 14

Quadratic Equation - MCQ 1 - Question 8
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x² = 121

y² – 46y + 529 = 0

Detailed Solution: Question 8

x² = 121
x = 11, – 11
y² – 46y + 529 = 0
y = 23, 23

Quadratic Equation - MCQ 1 - Question 9
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x² – 31x + 234 = 0

y² – 34y + 285 = 0

Detailed Solution: Question 9

x² – 31x + 234 = 0
x = 13, 18
y² – 34y + 285 = 0
y = 15, 19

Quadratic Equation - MCQ 1 - Question 10
Save

x² – 32x + 252 = 0

y² – 28y + 192 = 0

Detailed Solution: Question 10

x² – 32x + 252 = 0
x = 18, 14
y² – 28y + 192 = 0
y = 12, 16

Quadratic Equation - MCQ 1 - Question 11
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x² – 32x + 247 = 0

y² – 22y + 117 = 0

Detailed Solution: Question 11

x² – 32x + 247 = 0
x = 13, 19
y² – 22y + 117 = 0
y = 13, 9

Quadratic Equation - MCQ 1 - Question 12
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x² + 29x + 208 = 0

y² + 19y + 78 = 0

Detailed Solution: Question 12

x² + 29x + 208 = 0
x = -13, -16
y² + 19y + 78 = 0
y = -13, -6

Quadratic Equation - MCQ 1 - Question 13
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x² – 22x + 105 = 0 

y² – 27y + 162 = 0

Detailed Solution: Question 13

x² – 22x + 105 = 0
x = 15, 7
y² – 27y + 162 = 0
y = 18, 9

Quadratic Equation - MCQ 1 - Question 14
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(x – 18)² = 0

y² = 324

Detailed Solution: Question 14

x² – 36x + 324 = 0
x = 18, 18
y² = 324
y = ±18

Quadratic Equation - MCQ 1 - Question 15
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x² – 41x + 400 = 0

y² – 29y + 210 = 0

Detailed Solution: Question 15

x² – 41x + 400 = 0
x = 25, 16
y² – 29y + 210 = 0
y = 14, 15

Quadratic Equation - MCQ 1 - Question 16
Save

x² – 25x + 156 = 0

y² – 32y + 255 = 0

Detailed Solution: Question 16

x² – 25x + 156 = 0
x = 12, 13
y² – 32y + 255 = 0
y = 15, 17

Quadratic Equation - MCQ 1 - Question 17
Save

x² – 35x + 294 = 0

y² – 23y + 132 = 0

Detailed Solution: Question 17

x² – 35x + 294 = 0
x = 21, 14
y² – 23y + 132 = 0
y = 11, 12

Quadratic Equation - MCQ 1 - Question 18
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x² = 64

y² – 34y + 289 = 0

Detailed Solution: Question 18

x² = 64
x = 8, – 8
y² – 34y + 289 = 0
y = 17, 17

Quadratic Equation - MCQ 1 - Question 19
Save

x² – 29x + 208 = 0

y² – 32y + 255 = 0

Detailed Solution: Question 19

x² – 29x + 208 = 0
x = 13, 16
y² – 32y + 255 = 0
y = 15, 17

Quadratic Equation - MCQ 1 - Question 20
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For what value(s) of k, the quadratic equation x2 + kx + 9 = 0 has equal roots?

Detailed Solution: Question 20

For a quadratic equation ax2 + bx + c = 0 to have equal roots, the discriminant must be zero:
D = b2 - 4ac = 0
Here, a = 1, b = k, c = 9
k2 - 4(1)(9) = 0
k2 - 36 = 0
k2 = 36
k = ±6
Hence, the correct answer is Option A.

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About this Mechanical Engineering Practice Test

This test contains 20 MCQs on Quadratic Equation - MCQ 1 with detailed solutions for each question. It is part of the General Aptitude for GATE course on EduRev, designed to align with the current Mechanical Engineering syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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