Class 8 Exam > Class 8 Questions > If XY × 9 = ZW, where XY and ZW are two-digit... Start Learning for Free
If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?
- a)12 × 9 = 108
- b)13 × 9 = 117
- c)11 × 9 = 99
- d)14 × 9 = 126
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the fo...
Check each option.
12 × 9 = 108 is three-digit, not acceptable.
13 × 9 = 117 is three-digit, not acceptable.
11 × 9 = 99 is two-digit, fits the requirement.
14 × 9 = 126 is three-digit, not acceptable.
Therefore, the valid equation is 11 × 9 = 99.
12 × 9 = 108 is three-digit, not acceptable.
13 × 9 = 117 is three-digit, not acceptable.
11 × 9 = 99 is two-digit, fits the requirement.
14 × 9 = 126 is three-digit, not acceptable.
Therefore, the valid equation is 11 × 9 = 99.
Free Test
FREE
| Start Free Test |
Community Answer
If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the fo...
Understanding the Problem
In the equation XY × 9 = ZW, both XY and ZW represent two-digit numbers. To find the valid equation among the options, we must multiply each two-digit number by 9 and check if the result is also a two-digit number.
Evaluating Each Option
- Option A: 12 × 9 = 108
- Calculation: 12 × 9 = 108
- Result: 108 is a three-digit number, so this option is invalid.
- Option B: 13 × 9 = 117
- Calculation: 13 × 9 = 117
- Result: 117 is also a three-digit number, making this option invalid as well.
- Option C: 11 × 9 = 99
- Calculation: 11 × 9 = 99
- Result: 99 is a two-digit number, which fits the criteria. Therefore, this option is valid.
- Option D: 14 × 9 = 126
- Calculation: 14 × 9 = 126
- Result: 126 is a three-digit number, thus this option is invalid.
Conclusion
The only valid equation where both products remain two-digit numbers is found in option C: 11 × 9 = 99. This confirms that option C is correct, as the result is consistent with the requirement of the original equation.
In the equation XY × 9 = ZW, both XY and ZW represent two-digit numbers. To find the valid equation among the options, we must multiply each two-digit number by 9 and check if the result is also a two-digit number.
Evaluating Each Option
- Option A: 12 × 9 = 108
- Calculation: 12 × 9 = 108
- Result: 108 is a three-digit number, so this option is invalid.
- Option B: 13 × 9 = 117
- Calculation: 13 × 9 = 117
- Result: 117 is also a three-digit number, making this option invalid as well.
- Option C: 11 × 9 = 99
- Calculation: 11 × 9 = 99
- Result: 99 is a two-digit number, which fits the criteria. Therefore, this option is valid.
- Option D: 14 × 9 = 126
- Calculation: 14 × 9 = 126
- Result: 126 is a three-digit number, thus this option is invalid.
Conclusion
The only valid equation where both products remain two-digit numbers is found in option C: 11 × 9 = 99. This confirms that option C is correct, as the result is consistent with the requirement of the original equation.
 | Explore Courses for Class 8 exam |  |
Top Courses for Class 8View all
Top Courses for Class 8
Question Description
If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer?.
If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer?.
Solutions for If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If XY × 9 = ZW, where XY and ZW are two-digit numbers, which of the following equations is valid?a)12 × 9 = 108b)13 × 9 = 117c)11 × 9 = 99d)14 × 9 = 126Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 8 tests.
| Explore Courses for Class 8 exam | |
Top Courses for Class 8
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
