Which of the following is equal to 1?

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Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
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  1. 20 + 30 + 40
  2. 20 × 30 × 4​0
  3. (3− 20) × 40
  4. (30 − 20) × (30+ 20)

Answer (Detailed Solution Below)

Option 2 : 20 × 30 × 4​0
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Detailed Solution

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Given:

We need to find which expression is equal to 1.

Concept used:

Any non-zero number raised to the power of 0 is 1. So, xo = 1.

Calculation:

Let's evaluate each expression:

1. 2° + 3° + 4°

⇒ 1 + 1 + 1 = 3, not equal to 1.

2. 2° × 3° × 4°

⇒ 1 × 1 × 1 = 1, which is equal to 1.

3. (3° − 2°) × 4°

⇒ (1 - 1) × 1 = 0, which is not equal to 1.

4. (3° − 2°) × (3° + 2°)

⇒ (1 - 1) × (1 + 1) = 0, not equal to 1.

∴ Among the given options, the expression 2° × 3° × 4° is equal to 1.

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