दिए गए दो चिह्नों और संख्याओं को आपस में बदलने पर निम्नलिखित में से कौन-सा समीकरण सही होगा?

+ और ×, 1 और 2

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. 8 × 3 – 4 ÷ 2 + 1 = 7
  2. 2 × 3 – 8 ÷ 1 + 9 = 18
  3. 8 × 3 – 4 ÷ 2 + 1 = 3
  4. 2 × 3 – 8 ÷ 1 + 2 = 5

Answer (Detailed Solution Below)

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

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BODMAS

प्रश्न के अनुसार दिए गए दो चिह्नों और संख्याओं को आपस में बदलने पर :

  1. + और ×
  2. 1 और 2​​​

इसलिए,

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

आपस में बदलने के बाद:

8 + 3 – 4 ÷ 1 × 2 = 7

8 + 3 – 4 × 2 = 7

8 + 3 - 8 = 7

11 - 8 = 7

3 ≠ 7 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प - (2) : 2 × 3 – 8 ÷ 1 + 9 = 18

आपस में बदलने के बाद:

1 + 3 – 8 ÷ 2 × 9 = 18

1 + 3 - 4 × 9 = 18

1 + 3 - 36 = 18

4 - 36 = 18

-32 ≠ 18 (बायाँ पक्ष ≠ दायाँ पक्ष)

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

आपस में बदलने के बाद:

8 + 3 – 4 ÷ 1 × 2 = 3

8 + 3 – 4 × 2 = 3

8 + 3 - 8 = 3

11 - 8 = 3

3 = 3 (बायाँ पक्ष = दायाँ पक्ष) 

  • विकल्प - (4) : 2 × 3 – 8 ÷ 1 + 2 = 5

आपस में बदलने के बाद:

1 + 3 – 8 ÷ 2 × 1 = 5

1 + 3 - × 1 = 5

1 + 3 - 4 = 5

4 - 4 = 5

 ≠ 5 (बायाँ पक्ष ≠ दायाँ पक्ष)

यहाँ, अंक - (2) की पुनरावृत्ति हुई है, इसलिए यह विकल्प अमान्य है।

अतः, "विकल्प - (3)" सही उत्तर है।

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