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Find the value of X, Y and Z from 564X641 + 6Y65586 = 121112Z7 and arrange the following numerals in descending order.
25X96YZ, 25X9YZ5, 25XYZ55, 2549XYZ
  • a)
    25X96YZ, 25X9YZ5, 25XYZ55, 2549XYZ
  • b)
    2549XYZ, 25X96YZ, 25X9YZ5, 25XYZ55
  • c)
    25X96YZ, 25XYZ55, 25X9YZ5, 2549XYZ
  • d)
    25X96YZ, 25X9YZ5, 2549XYZ, 25XYZ55
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the value of X, Y and Z from 564X641 + 6Y65586 = 121112Z7 and arr...
Finding the value of X, Y, and Z:

Given, 564X641 6Y65586 = 121112Z7

To find the value of X, we need to add the digits in the thousands place of both numbers on the left-hand side and the right-hand side of the equation.
5 + 6 = 11
Therefore, X = 1

To find the value of Y, we need to subtract the digits in the ten thousands place of both numbers on the left-hand side and the right-hand side of the equation.
4 - 5 = -1
Therefore, Y = 9

To find the value of Z, we need to add the digits in the ones place of both numbers on the left-hand side and the right-hand side of the equation.
1 + 7 = 8
Therefore, Z = 8

Arranging the numerals in descending order:

The given numerals are:
25X96YZ, 25X9YZ5, 25XYZ55, 2549XYZ

To arrange these numerals in descending order, we need to compare the digits in each place from left to right. We start comparing the digits in the thousands place, then the hundreds place, and so on.

Comparison of the given numerals:

- The first digit in all the numerals is 2, so we move on to the next digit.
- In the thousands place, the largest digit is 9, so 25X96YZ and 25X9YZ5 come before the other two numerals.
- In the hundreds place, the largest digit is X, which is equal in both the remaining numerals.
- In the tens place, the largest digit is 5, so 25XYZ55 comes before 2549XYZ.
- In the ones place, the largest digit is Z, which is equal in both the remaining numerals.
- In the tenths place, the largest digit is Y, which is equal in both the remaining numerals.
- In the hundredths place, the largest digit is 6, which is only present in 25X96YZ.

Therefore, the numerals arranged in descending order are:
25X96YZ, 25X9YZ5, 25XYZ55, 2549XYZ

Hence, the correct answer is option A.
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