दिए गए समीकरण को सही बनाने के लिए किन दो चिह्नों को परस्पर बदला जाना चाहिए?

10 - 4 + 13 ÷ 15 × 3 = 71 

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. + और ×
  2. - और ÷
  3. ÷ और ×
  4. - और ×

Answer (Detailed Solution Below)

Option 3 : ÷ और ×
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BODMAS

दिया गया कथन: 10 - 4 + 13 ÷ 15 × 3 = 71

प्रश्नानुसार, चिह्नों को बदलने के बाद:

इसलिए,

  • विकल्प - (1) : + और ×

10 - 4 + 13 ÷ 15 × 3 = 71 ⇒ 10 - 4 × 13 ÷ 15 + 3 = 71

10 - × 0.87 + 3 = 71 

10 + 3 - 3.48 = 71

13 - 3.48 = 71

9.52 ≠ 71 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प - (2) : - और ÷

10 - 4 + 13 ÷ 15 × 3 = 71 10 ÷ 4 + 13 - 15 × 3 = 71

2.5 + 13 - 15 × 3 = 71

2.5 + 13 - 45 = 71

15.5 - 45 = 71

29.5 ≠ 71 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प - (3) : ÷ और ×

10 - 4 + 13 ÷ 15 × 3 = 71 ⇒ 10 - 4 + 13 × 15 ÷ 3 = 71

10 - 4 + 13 × 5 = 71

10 + 65 - 4 = 71

75 - 4 = 71

71 = 71 (बायाँ पक्ष = दायाँ पक्ष)

  • विकल्प - (4) : - और ×

10 - 4 + 13 ÷ 15 × 3 = 71⇒ 10 × 4 + 13 ÷ 15 - 3 = 71

10 × 4 + 0.87 - 3 = 71

40 + 0.87 - 3 = 71

40.87 - 3 = 71

37.87 ≠ 71 (बायाँ पक्ष ≠ दायाँ पक्ष)

अतः सही उत्तर "विकल्प - (3)" है।
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