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The History teacher was referring to a year in the 19th century. Rohan found an easy way to remember the year. He found that the number, when viewed in a mirror, increased 4.5 times. Which year was the teacher referring to?
  • a)
    1,801
  • b)
    1,810
  • c)
    1,818
  • d)
    More than one value
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The History teacher was referring to a year in the 19th century. Rohan...
Finding the Year with Mirror Image

Given that the number, when viewed in a mirror, increased 4.5 times, we need to find out the year referred to by the history teacher.

Approach:

Let the year be represented as ABBA, where A and B are digits. Then, the number viewed in the mirror is represented as ABBA.

As per the problem statement, ABBA * 4.5 = ABBA (when viewed in a mirror)

Multiplying both sides by 2, we get:

ABBA * 9 = ABBA * 2 (when viewed in a mirror)

Simplifying further, we get:

ABBA * 7 = 1001 * A + 110 * B

Since A and B are digits, 1001A and 110B are divisible by 11. Hence, ABBA * 7 must also be divisible by 11.

Checking the answer options, we can see that only option C (1818) satisfies this condition. Hence, the correct answer is option C.

Therefore, the year referred to by the history teacher is 1818.
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Community Answer
The History teacher was referring to a year in the 19th century. Rohan...
The solution to the problem involves finding a year in the 19th century that, when viewed in a mirror, appears to be 4.5 times larger.
To solve this:
  • Consider the year 1818.
  • When viewed in a mirror, it appears as 8181.
  • Calculating the ratio: 8181 divided by 1818 equals 4.5.
Thus, the year the teacher referred to is 1818.
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The History teacher was referring to a year in the 19th century. Rohan found an easy way to remember the year. He found that the number, when viewed in a mirror, increased 4.5 times. Which year was the teacher referring to?a)1,801b)1,810c)1,818d)More than one valueCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The History teacher was referring to a year in the 19th century. Rohan found an easy way to remember the year. He found that the number, when viewed in a mirror, increased 4.5 times. Which year was the teacher referring to?a)1,801b)1,810c)1,818d)More than one valueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The History teacher was referring to a year in the 19th century. Rohan found an easy way to remember the year. He found that the number, when viewed in a mirror, increased 4.5 times. Which year was the teacher referring to?a)1,801b)1,810c)1,818d)More than one valueCorrect answer is option 'C'. Can you explain this answer?.
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