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

3 और 8

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 3)
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  1. 7 + 3 – 4 ÷ 2 × 8 = 9
  2. 6 ÷ 2 × 8 + 3 – 1 = 17
  3. 8 – 3 + 6 × 2 ÷ 4 = –2
  4. 2 + 3 – 6 ÷ 2 × 8 = 1

Answer (Detailed Solution Below)

Option 2 : 6 ÷ 2 × 8 + 3 – 1 = 17
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BODMAS

प्रश्न के अनुसार, संख्या 3 और संख्या 8 को आपस में बदलने पर:

इसलिए,

  • विकल्प - (1) : 7 + 3 – 4 ÷ 2 × 8 = 9

​7 + 8 – 4 ÷ 2 × 3 = 9

7 + 8 - 2 × 3 = 9

7 + 8 - 6 = 9

15 - 6 = 9

9 = 9 (LHS = RHS)

  • विकल्प - (2) : 6 ÷ 2 × 8 + 3 – 1 = 17

6 ÷ 2 × 3 + 8 – 1 = 17

3 × 3 + 8 – 1 = 17

9 + 8 – 1 = 17

17 - 1 = 17

16 Unknown node type: strong  17 (LHS Unknown node type: strong  RHS)

  • विकल्प - (3) : 8 – 3 + 6 × 2 ÷ 4 = –2

3 – 8 + 6 × 2 ÷ 4 = –2

3 – 8 + 6 × 0.5 = -2

+ 3 - 8 = -2

6 - 8 = -2

-2 = -2 (LHS = RHS)

  • विकल्प - (4) : 2 + 3 – 6 ÷ 2 × 8 = 1

2 + 8 – 6 ÷ 2 × 3 = 1

2 + 8 – 3 × 3 = 1

2 + 8 - 9 = 1

10 - 9 = 1

1 = 1 (LHS = RHS)

अतः, "विकल्प - (2)" सही उत्तर है।
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