UPSC Exam > UPSC Questions > If the seven digit no. 74x29y6 is divisible b...
Start Learning for Free
If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ?
Most Upvoted Answer
If the seven digit no. 74x29y6 is divisible by 72 , then what will be ...
Divisibility by 72
To determine if the seven-digit number 74x29y6 is divisible by 72, we need to check if it is divisible by both 8 and 9.
Divisibility by 8
A number is divisible by 8 if the last three digits form a number that is divisible by 8. In this case, the last three digits are 296. Since 296 is divisible by 8 (8 x 37 = 296), the entire number is divisible by 8.
Divisibility by 9
A number is divisible by 9 if the sum of its digits is divisible by 9. In this case, the sum of the digits is 7 + 4 + x + 2 + 9 + y + 6 = 28 + x + y. For the entire number to be divisible by 9, 28 + x + y must be divisible by 9.
Combining Divisibility Rules
Since the number is divisible by both 8 and 9, it is also divisible by 72. Now, we can find the value of (2x + 3y).
Finding the Value of (2x + 3y)
From the number 74x29y6, we know that x = 3 and y = 4. Substituting these values into (2x + 3y), we get (2*3 + 3*4) = (6 + 12) = 18.
Therefore, the value of (2x + 3y) is 18.
To determine if the seven-digit number 74x29y6 is divisible by 72, we need to check if it is divisible by both 8 and 9.
Divisibility by 8
A number is divisible by 8 if the last three digits form a number that is divisible by 8. In this case, the last three digits are 296. Since 296 is divisible by 8 (8 x 37 = 296), the entire number is divisible by 8.
Divisibility by 9
A number is divisible by 9 if the sum of its digits is divisible by 9. In this case, the sum of the digits is 7 + 4 + x + 2 + 9 + y + 6 = 28 + x + y. For the entire number to be divisible by 9, 28 + x + y must be divisible by 9.
Combining Divisibility Rules
Since the number is divisible by both 8 and 9, it is also divisible by 72. Now, we can find the value of (2x + 3y).
Finding the Value of (2x + 3y)
From the number 74x29y6, we know that x = 3 and y = 4. Substituting these values into (2x + 3y), we get (2*3 + 3*4) = (6 + 12) = 18.
Therefore, the value of (2x + 3y) is 18.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ?
Question Description
If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ?.
If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ?.
Solutions for If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ? defined & explained in the simplest way possible. Besides giving the explanation of
If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ?, a detailed solution for If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ? has been provided alongside types of If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ? theory, EduRev gives you an
ample number of questions to practice If the seven digit no. 74x29y6 is divisible by 72 , then what will be the value of (2x+3y) ? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
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