Solve the following equation.

(73 - 72 + 6) × (63 - 23 - 32 + 1) ÷ (212 + 202 - 41) = _______.

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SSC CPO 2022 Tier-I Official Paper (Held On 10 Nov 2022 Shift 2) [Answer Key]
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  1. 75
  2. 40
  3. 50
  4. 25

Answer (Detailed Solution Below)

Option 1 : 75
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Concept Used:

BODMAS Rule

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Calculation:

According to the question

⇒ (73 – 72 + 6) × (63 – 23 – 32 + 1) ÷ (212 + 202 – 41)

⇒ (343 – 49 + 6) × (216 – 8 – 9 + 1) ÷ (441 + 400 – 41)

⇒ (349 – 49) × (217 – 8 – 9) ÷ (841 – 41)

⇒ (300) × (200) ÷ (800)

⇒ 300 × 200 × \(\frac{1}{800}\)

⇒ 300 × \(\frac{1}{4}\) = 75

Therefore, the value of (73 – 72 + 6) × (63 – 23 – 32 + 1) ÷ (212 + 202 – 41) is 75.

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