दी गई दो संख्याओं को आपस में बदलने पर निम्नलिखित में से कौन सा समीकरण सही होगा?
8 और 2

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 3)
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  1. 7 ÷ 2 – 8 × 4 + 1 = 0
  2. 2 × 4 – 8 + 5 ÷ 1 = 50
  3. 8 × 4 + 6 – 2 ÷ 1 = 6
  4. 8 × 4 – 9 ÷ 3 + 2 = 35

Answer (Detailed Solution Below)

Option 3 : 8 × 4 + 6 – 2 ÷ 1 = 6
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Detailed Solution

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गणना:

विकल्प विधि द्वारा:

विकल्प 1 : 8 और 2 को 7 ÷ 2 - 8 × 4 + 1 = 0 में परस्पर बदलने पर

⇒ 7 ÷ 8 - 2 × 4 + 1 = 0

⇒ 0.87 - 8 + 1 = 0

⇒ -6.125 ≠ 0

यह समीकरण सही नहीं है।

विकल्प 2 : 8 और 2 को 2 × 4 – 8 + 5 ÷ 1 = 50 में परस्पर बदलने पर

⇒ 8 × 4 - 2 + 5 ÷ 1 = 50

⇒ 32 - 2 + 5 = 50

⇒ 35 ≠ 50

यह समीकरण सही नहीं है।

विकल्प 3 : 8 और 2 को 8 × 4 + 6 – 2 ÷ 1 = 6 में परस्पर बदलने पर

⇒ 2 × 4 + 6 – 8 ÷ 1 = 6

⇒ 8 +6 -8 = 6

⇒ 6 = 6

यह सही समीकरण है।

विकल्प 4 : 8 और 2 को 8 × 4 – 9 ÷ 3 + 2 = 35 में परस्पर बदलने पर

⇒ 2 × 4 – 9 ÷ 3 + 8 = 35

⇒ 8 - 3 + 8 = 35

⇒ 13 ≠ 35

यह समीकरण सही नहीं है।

अतः, सही उत्तर 'विकल्प 3' है।

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