Which of the following rational numbers is equal to its reciprocal?

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Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
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  1. 1
  2. \(\frac{1}{2}\)
  3. 2
  4. 0

Answer (Detailed Solution Below)

Option 1 : 1
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Bihar STET Paper 1 Mathematics Full Test 1
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Detailed Solution

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Concept use:

The rational number that is equal to its reciprocal should satisfy the equation n = 1/n, where n is the rational number.

Calculations:

Checking each option:

If n = 1, its reciprocal is also 1 (since 1/1 = 1), so that matches.

If n = 1/2, its reciprocal is 2 (since 1/(1/2) = 2), which does not match.

If n = 2, its reciprocal is 1/2 (since 1/2 = 0.5), which does not match.

For n = 0, the reciprocal is undefined (since 1/0 is undefined), which does not match.

So, the  Correct answer is Option 1.

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