SSC CGL Exam > SSC CGL Questions > If X and Y are the two digits of the number 3...
Start Learning for Free
If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)
- a)2
- b)4
- c)6
- d)8
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If X and Y are the two digits of the number 347XY such that the number...
347XY as 347X0. Since 8 is a factor of 80.
347X0 is divisible by 8. It means last three digits 7X0 is divisible by 8.
Hence, X is 2 or 6
if X = 6, number is 34760. But this is not divisible by 80.
if X = 2, number is 34720, which is divisible by 80.
Therefore, number is 34720 with X = 2 and Y = 0.
∴ x + y = 2 + 0 = 2.
347X0 is divisible by 8. It means last three digits 7X0 is divisible by 8.
Hence, X is 2 or 6
if X = 6, number is 34760. But this is not divisible by 80.
if X = 2, number is 34720, which is divisible by 80.
Therefore, number is 34720 with X = 2 and Y = 0.
∴ x + y = 2 + 0 = 2.
Free Test
FREE
| Start Free Test |
Community Answer
If X and Y are the two digits of the number 347XY such that the number...
To find the value of X and Y, we need to determine the conditions for the number 347XY to be divisible by 80.
Condition 1: Divisibility by 8
For a number to be divisible by 8, the last three digits of the number must form a multiple of 8. In this case, the last three digits are XY, so XY must be a multiple of 8.
Condition 2: Divisibility by 10
For a number to be divisible by 10, the last digit must be 0. However, in this case, the last digit is Y, so Y cannot be 0.
Condition 3: Divisibility by 80
For a number to be divisible by 80, it must satisfy both condition 1 and condition 2.
Now let's find the multiples of 8 and see which one satisfies condition 2.
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ...
We can see that the only multiple of 8 that does not end with 0 is 8 itself. So, Y must be equal to 8.
Now let's substitute Y = 8 into the number 347XY and check if it is divisible by 80.
347XY = 3478
Condition 1: Divisibility by 8
78 is a multiple of 8, so the number satisfies condition 1.
Condition 2: Divisibility by 10
The last digit is 8, which is not 0. The number does not satisfy condition 2.
Therefore, Y cannot be 8, and there is no solution that satisfies both conditions. Hence, the value of X and Y cannot be determined.
Condition 1: Divisibility by 8
For a number to be divisible by 8, the last three digits of the number must form a multiple of 8. In this case, the last three digits are XY, so XY must be a multiple of 8.
Condition 2: Divisibility by 10
For a number to be divisible by 10, the last digit must be 0. However, in this case, the last digit is Y, so Y cannot be 0.
Condition 3: Divisibility by 80
For a number to be divisible by 80, it must satisfy both condition 1 and condition 2.
Now let's find the multiples of 8 and see which one satisfies condition 2.
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ...
We can see that the only multiple of 8 that does not end with 0 is 8 itself. So, Y must be equal to 8.
Now let's substitute Y = 8 into the number 347XY and check if it is divisible by 80.
347XY = 3478
Condition 1: Divisibility by 8
78 is a multiple of 8, so the number satisfies condition 1.
Condition 2: Divisibility by 10
The last digit is 8, which is not 0. The number does not satisfy condition 2.
Therefore, Y cannot be 8, and there is no solution that satisfies both conditions. Hence, the value of X and Y cannot be determined.
Attention SSC CGL Students!
To make sure you are not studying endlessly, EduRev has designed SSC CGL study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in SSC CGL.
|
Explore Courses for SSC CGL exam
|
|
Similar SSC CGL Doubts
Top Courses for SSC CGLView all
If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer?
Question Description
If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer?.
If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer?.
Solutions for If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. 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 If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? (SSC CGL 2017)a)2b)4c)6d)8Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup