Simplify the following. 253 - 753 + 503

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. -281250
  2. 281350
  3. 271250
  4. -281450

Answer (Detailed Solution Below)

Option 1 : -281250
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

The number 253 - 753 + 503.

Calculation:

253 - 753 + 503

⇒ 15625 - 421875 + 125000

- 281250

∴ The required answer is - 281250.

Alternate MethodWe know that,

If a + b + c = 0, then a3 + b3 + c3 = 3abc

a = 25, b = -75 and c = 50

a + b + c = 25 -75 +50 = 0

253 - 753 + 503 = 3 × 25 × -75 × 50 = -281250

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