गणितीय चिह्नों के उस सही संयोजन का चयन कीजिए, जो क्रमिक रूप से * चिह्नों को प्रतिस्थापित कर सकता है और दिए गए समीकरण को संतुलित कर सकता है।

32 * 42 * 7 * 7 * 17 = 202

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. ×, ÷, -, +
  2. ×, -, +, ÷
  3. +, ÷, ×, -
  4. +, ×, ÷, -

Answer (Detailed Solution Below)

Option 1 : ×, ÷, -, +
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BODMAS

दिया गया कथन: 32 * 42 * 7 * 7 * 17 = 202

प्रश्न के अनुसार, * चिह्नों को प्रतिस्थापित करने के बाद :

इसलिए,

  • विकल्प - (1) : ×, ÷, -, +

32 * 42 * 7 * 7 * 17 = 202 ⇒ 32 × 42 ÷ 7 - 7 + 17 = 202

32 ×   6 - 7 + 17 = 202

192 + 17 - 7 = 202

209 - 7 = 202

202 = 202 (बायाँ पक्ष = दायाँ पक्ष)

  • विकल्प - (2) : ×, -, +, ÷

32 * 42 * 7 * 7 * 17 = 202 ⇒ 32 × 42 - 7 + 7 ÷ 17 = 202

32 × 42 - 7 + 0.41 = 202

1344 + 0.41 - 7 = 202

1344.41 - 7 = 202

1337.41 ≠ 202 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प - (3) : +, ÷, ×, -

32 * 42 * 7 * 7 * 17 = 202 ⇒ 32 + 42 ÷ 7 × 7 - 17 = 202

32 + 6 × 7 - 17 = 202

32 + 42 - 17 = 202

74 - 17 = 202

57 ≠ 202 (बायाँ पक्ष ≠ दायाँ पक्ष)

  • विकल्प - (4) : +, ×, ÷, -

32 * 42 * 7 * 7 * 17 = 202 ⇒ 32 + 42 × 7 ÷ 7 - 17 = 202

32 + 42 × 1 - 17 = 202

32 + 42 - 17 = 202

74 - 17 = 202

57 ≠ 202 (बायाँ पक्ष दायाँ पक्ष)

अतः सही उत्तर "विकल्प - (1)" है।
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