दी गई दो संख्याओं को आपस में बदलने पर निम्नलिखित में से कौन-सा समीकरण सही नहीं होगा?

9 और 6

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. 7 + 6 × 4 ÷ 9 – 8 = 5
  2. 6 × 8 – 9 ÷ 3 + 5 = 75
  3. 9 × 7 + 4 ÷ 1 – 6 = 38
  4. 7 × 6 ÷ 3 + 9 – 8 = 19

Answer (Detailed Solution Below)

Option 3 : 9 × 7 + 4 ÷ 1 – 6 = 38
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Detailed Solution

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प्रश्नानुसार, संख्या 9 और 6 को आपस में बदलने पर:

इसलिए,

  • विकल्प - (1) : 7 + 6 × 4 ÷ 9 – 8 = 5 ⇒ 7 + 9 × 4 ÷ 6 – 8 = 5

7 + 9 × 4 ÷ 6 – 8 = 5

7 + 9 × 0.67 - 8 = 5

7 + 6 - 8 = 5

13 - 8 = 5

5 = 5 (बायाँ पक्ष = दायाँ पक्ष)

  • विकल्प - (2) : 6 × 8 – 9 ÷ 3 + 5 = 75 ⇒ 9 × 8 – 6 ÷ 3 + 5 = 75

9 × 8 – 6 ÷ 3 + 5 = 75

9 × 8 – 2 + 5 = 75

72 + 5 - 2 = 75

77 - 2 = 75

75 = 75 (बायाँ पक्ष = दायाँ पक्ष)

  • विकल्प - (3) : 9 × 7 + 4 ÷ 1 – 6 = 38 ⇒ 6 × 7 + 4 ÷ 1 – 9 = 38

6 × 7 + 4 ÷ 1 – 9 = 38

6 × 7 + 4 - 9 = 38

42 + 4 - 9 = 38

46 - 9 = 38

37  अज्ञात नोड प्रकार: मजबूत 38 (बायाँ पक्ष Unknown node type: strong दायाँ पक्ष)

  • विकल्प - (4) : 7 × 6 ÷ 3 + 9 – 8 = 19 ⇒ 7 × 9 ÷ 3 + 6 – 8 = 19

7 × 9 ÷ 3 + 6 – 8 = 19

7 × 3 + 6 – 8 = 19

21 + 6 – 8 = 19

27 - 8 = 19

19 = 19 (बायाँ पक्ष = दायाँ पक्ष)

अतः, सही उत्तर "विकल्प - (3)" है।

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