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Identify the odd number in the series: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

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Question: Identify the odd number in the series: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Options:

  1. 16
  2. 25
  3. 36
  4. 49

Correct Answer: 49

Solution:

All numbers are perfect squares except 49, which is not a perfect square.

Identify the odd number in the series: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Practice Questions

Q1
Identify the odd number in the series: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
  1. 16
  2. 25
  3. 36
  4. 49

Questions & Step-by-Step Solutions

Identify the odd number in the series: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
  • Step 1: Look at the series of numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
  • Step 2: Identify what type of numbers these are. They are all perfect squares.
  • Step 3: A perfect square is a number that can be expressed as the square of an integer (like 1=1x1, 4=2x2, 9=3x3, etc.).
  • Step 4: Check each number to see if it is a perfect square.
  • Step 5: 1 is 1x1, 4 is 2x2, 9 is 3x3, 16 is 4x4, 25 is 5x5, 36 is 6x6, 49 is 7x7, 64 is 8x8, 81 is 9x9, and 100 is 10x10.
  • Step 6: Notice that all numbers are perfect squares except for 49.
  • Step 7: Conclude that 49 is the odd number in the series.
  • Perfect Squares – The numbers in the series are the squares of consecutive integers (1^2, 2^2, 3^2, etc.).
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