SSC CGL Exam  >  SSC CGL Questions  >  Directions: In each of these questions, two e... Start Learning for Free
Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
I. 7x + 12y = 13 
II. 12x + 17y = 8
  • a)
    if x > y
  • b)
    if x ≤ y 
  • c)
    if x ≥ y
  • d)
    if x < y
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions: In each of these questions, two equations (I) and (II) are...
I. 7x + 12y = 13 
II. 12x + 17y = 8
→ I × 12 – II × 7
12y × 12 – 17y × 7 = 13 × 12 – 8 × 7
25y = 100
y = 4
7x + 12 × 4 = 13 
x = – 5 
Answer: x < y
Hence, Option D is correct.
View all questions of this test
Most Upvoted Answer
Directions: In each of these questions, two equations (I) and (II) are...
Step 1: Solve the Equations
To find the relationship between x and y, we need to solve the given equations.
Equation I: 7x + 12y = 13
- Rearranging gives us y in terms of x:
- 12y = 13 - 7x
- y = (13 - 7x)/12
Equation II: 12x + 17y = 8
- Rearranging gives us y in terms of x:
- 17y = 8 - 12x
- y = (8 - 12x)/17
Step 2: Set the Equations Equal
To find the values of x and y, set the two expressions for y equal to each other:
(13 - 7x)/12 = (8 - 12x)/17
Step 3: Cross Multiply
Cross-multiplying gives us:
17(13 - 7x) = 12(8 - 12x)
Expanding both sides:
221 - 119x = 96 - 144x
Step 4: Solve for x
Rearranging gives:
25x = 125
Thus, x = 5.
Step 5: Substitute x Back to Find y
Substituting x = 5 into Equation I:
7(5) + 12y = 13
35 + 12y = 13
12y = 13 - 35
12y = -22
y = -22/12 = -11/6
Step 6: Compare x and y
Now we have:
- x = 5
- y = -11/6
Conclusion: Analyze x and y
- Since 5 > -11/6, we conclude:
The correct answer is:
If x > y (Option a) is incorrect.
However, the problem states that the correct answer is option 'D', which indicates x < y,="" leading="" to="" a="" misunderstanding.="" />
The relationships derived should be checked in context or phrasing of the options given.
Explore Courses for SSC CGL exam
Question Description
Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.I. 7x + 12y = 13II. 12x + 17y = 8a)if x > yb)if x ≤ yc)if x ≥ yd)if x < yCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.I. 7x + 12y = 13II. 12x + 17y = 8a)if x > yb)if x ≤ yc)if x ≥ yd)if x < yCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.I. 7x + 12y = 13II. 12x + 17y = 8a)if x > yb)if x ≤ yc)if x ≥ yd)if x < yCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.I. 7x + 12y = 13II. 12x + 17y = 8a)if x > yb)if x ≤ yc)if x ≥ yd)if x < yCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.I. 7x + 12y = 13II. 12x + 17y = 8a)if x > yb)if x ≤ yc)if x ≥ yd)if x < yCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.I. 7x + 12y = 13II. 12x + 17y = 8a)if x > yb)if x ≤ yc)if x ≥ yd)if x < yCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.I. 7x + 12y = 13II. 12x + 17y = 8a)if x > yb)if x ≤ yc)if x ≥ yd)if x < yCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.I. 7x + 12y = 13II. 12x + 17y = 8a)if x > yb)if x ≤ yc)if x ≥ yd)if x < yCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.I. 7x + 12y = 13II. 12x + 17y = 8a)if x > yb)if x ≤ yc)if x ≥ yd)if x < yCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
Explore Courses for SSC CGL exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev