* चिह्नों को क्रमिक रूप से बदलने और दिए गए समीकरण को संतुलित करने के लिए गणितीय चिह्नों के सही संयोजन का चयन कीजिए।

74 * 34 * 78 * 23 * 23 * 30

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. ÷, -, +, ×, =
  2. +, ÷, ×, -, =
  3. +, -, +, -, =
  4. -, ÷, +, ×, =

Answer (Detailed Solution Below)

Option 3 : +, -, +, -, =
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Detailed Solution

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यहाँ, हम नीचे दी गई BODMAS तालिका का प्रयोग करते हैं:

दिया गया है:

⇒ 74 * 34 * 78 * 23 * 23 * 30

(1) ÷, -, +, ×, =

⇒ 74 * 34 * 78 * 23 * 23 * 30

चिह्न रखने के बाद:

74 ÷ 34 - 78 + 23 × 23 = 30

BODMAS नियम लागू करने पर:

⇒ 2.17 - 78 + 23 × 23

⇒ 2.17 - 78 + 529

⇒ 531.17 - 78 = 453.17

यहां समीकरण संतुष्ट नहीं होता है।

(2) +, ÷, ×, -, =

⇒ 74 * 34 * 78 * 23 * 23 * 30

चिह्न रखने के बाद:

⇒ 74 + 34 ÷ 78 × 23 - 23 = 30

BODMAS नियम लागू करने पर:

⇒ 74 + 0.435 × 23 - 23

⇒ 74 + 10.02 - 23

⇒ 84.02 - 23 = 61.02

यहां समीकरण संतुष्ट नहीं होता है।

(3) +, -, +, -, =

⇒ 74 * 34 * 78 * 23 * 23 * 30

चिह्न रखने के बाद:

⇒ 74 + 34 - 78 + 23 - 23 = 30

BODMAS नियम लागू करने पर:

⇒ 131 - 78 - 23

⇒ 131 - 101 = 30

⇒ '74 + 34 - 78 + 23 - 23 = 30'

यहां समीकरण संतुष्ट होता है।

(4) -, ÷, +, ×, =

⇒ 74 * 34 * 78 * 23 * 23 * 30

चिह्न रखने के बाद:

⇒ 74 - 34 ÷ 78 + 23 × 23 = 30

BODMAS नियम लागू करने पर:

⇒ 74 - 0.435 + 23 × 23

⇒ 74 - 0.435 + 529

⇒ 603 - 0.435 = 602.56

यहां समीकरण संतुष्ट नहीं होता है

अतः, सही उत्तर "विकल्प (3)" है।

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