दिए गए समीकरण को सही करने के लिए दिए गए विकल्पों में से किन दो संख्याओं को आपस में बदलना चाहिए?

54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. 11 और 6
  2. 4 और 12
  3. 6 और 4
  4. 3 और 4

Answer (Detailed Solution Below)

Option 4 : 3 और 4
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दिया गया कथन: 54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

प्रश्न के अनुसार, दो संख्याओं को आपस में बदलने पर:

इसलिए,

  • विकल्प  - (1) : 11 और 6

दिया गया कथन:  54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

आपस में बदलने के बाद: 

54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (6 × 4) + 11 = 69

54 - 36 ÷ 2 + 24 + 11 = 69

54 + 24 + 11 - 18 = 69

89 - 18 = 69

71 ≠ 69 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प- (2) : 4 और 12

 

दिया गया कथन: 54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

आपस में बदलने के बाद:

54 - (3 × 4) ÷ (8)\({{1} \over 3}\) + (11 × 12) + 6 = 69

54 - 12 ÷ 2 + 132 + 6 = 69

54 + 132 + 6 - 6 = 69

192 - 6 = 69

186 ≠ 69 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प - (3) : 6 और 4

 

दिया गया कथन: 54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

आपस में बदलने के बाद:

54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 6) + 4 = 69

54 - 36 ÷ 2 + 66 + 4 = 69

54 + 66 + 4 - 18 = 69

124 - 18 = 69

106 ≠ 69 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प - (4) : 3 और 4

 

दिया गया कथन: 54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

आपस में बदलने के बाद:

54 - (4 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 3) + 6 = 69

54 - 48 ÷ 2 + 33 + 6 = 69

54 + 33 + 6 - 24 = 69

93 - 24 = 69

69 = 69 (बायाँ पक्ष = दायाँ पक्ष)

अतः, "विकल्प - (4)" सही उत्तर है।
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