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

[() ÷ 4]3 + (6)2 - (12 × 8) + 66 + (36 ÷ 12) = 65

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
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  1. 6 और 8
  2. 66 और 65
  3. 4 और 8
  4. 66 और 36

Answer (Detailed Solution Below)

Option 3 : 4 और 8
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दिया गया समीकरण : [() ÷ 4]3 + (6)2 - (12 × 8) + 66 + (36 ÷ 12) = 65

प्रश्नानुसार, दी गई संख्याओं को परस्पर बदलने पर :

इसलिए,

  • विकल्प- (1) : 6 और 8

[() ÷ 4]3 + (8)2 - (12 × 6) + 66 + (36 ÷ 12) = 65

[16 ÷ 4]3 + 64 - 72 + 66 + 3 = 65

[4]3 + 64 - 72 + 66 + 3 = 65

64 + 64 + 66 + 3 - 72 = 65

197 - 72 = 65

125 ≠ 65 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प- (2) : 66 और 65

[() ÷ 4]3 + (6)2 - (12 × 8) + 65 + (36 ÷ 12) = 66

[16 ÷ 4]+ 36 - 96 + 65 + 3 = 66

[4]3 + 36 - 96 + 65 + 3 = 66

64 + 36 + 65 + 3 - 96 = 66

168 - 96 = 66

72 ≠ 65 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प- (3) : 4 और 8

[() ÷ 8]3 + (6)2 - (12 × 4) + 66 + (36 ÷ 12) = 65

[16 ÷ 8]+ 36 - 48 + 66 + 3 = 65

[2]3 + 36 - 48 + 66 + 3 = 65

8 + 36 + 66 + 3 - 48 = 65

113 - 48 = 65

65 = 65 (बायाँ पक्ष = दायाँ पक्ष)

  • विकल्प- (4) : 66 और 36

[() ÷ 4]3 + (6)2 - (12 × 8) + 36 + (66 ÷ 12) = 65

[16 ÷ 4]3 + 36 - 96 + 36 + 5.5 = 65

[4]3 + 36 - 96 + 36 + 5.5 = 65

64 + 36 + 36 + 5.5 - 96 = 65

141.5 - 96 = 65

45.5 ≠ 65 (बायाँ पक्ष ≠ दायाँ पक्ष)

अतः सही उत्तर "विकल्प - (3)" है।

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