The largest integer between 1 and 10⁵ when written in words that does not contain the letter 'N' or 'n' in its name is

Correct option is A

Solution:

Step 1: Names of Numbers

Write out the names of numbers from 1 to 10⁵ and identify where the letter 'N' appears.

• Numbers 1 to 9:

  • One, Two, Three, Four, Five, Six, Seven, Eight, Nine
  • Numbers containing 'N': One, Seven, Nine

• Tens (10 to 90):

  • Ten, Twenty, Thirty, Forty, Fifty, Sixty, Seventy, Eighty, Ninety
  • Numbers containing 'N': Ten, Twenty, Thirty, Seventy, Ninety

• Combination of Tens and Units (e.g., 21 to 99):

  • Twenty-OneForty-TwoFor example, , , etc.
  • Any number formed with tens that contain 'N' (e.g., Twenty, Ninety) will also have 'N'.

Step 2: Eliminate Numbers with 'N' or 'n'

From the above observations:

• do notNumbers that contain 'N' in their names are:
  Four, Five, Eight, Forty, Fifty, Eighty

Step 3: Find the Largest Number

• 88
  The largest number without the letter 'N' or 'n' is .Its name is "Eighty-Eight," and neither "Eighty" nor "Eight" contains the letter 'N'.

Final Answer:

The correct option is (a) 88.