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

15 ÷ 3 + 15 - 3 × 3 = 47

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 4)
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  1. - और × 
  2. ÷ और  +
  3. ÷ और × 
  4. + और -

Answer (Detailed Solution Below)

Option 1 : - और × 
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Detailed Solution

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यहां, हम नीचे दी गई BODMAS तालिका का उपयोग करते हैं:qImage64ba0b8b597006c49aff316c

दिया गया है:

⇒ 15 ÷ 3 + 15 - 3 × 3 = 47

(1) - और ×

⇒ 15 ÷ 3 + 15 - 3 × 3 = 47

चिह्नों को बदलने पर:

⇒ 15 ÷ 3 + 15 × 3 - 3 = 47

BODMAS नियम लागू करें:

⇒ 5 + 15 × 3 - 3

⇒ 5 + 4 5 - 3

⇒ 50 - 3 = 47

⇒ '15 ÷ 3 + 15 × 3 - 3 = 47'

यहाँ, समीकरण संतुष्ट है। 

(2) ÷ और +

⇒ 15 ÷ 3 + 15 - 3 × 3 = 47

चिह्नों को बदलने पर:

⇒ 15 + 3 ÷ 15 - 3 × 3 = 47

BODMAS नियम लागू करें:

⇒ 15 + 0.2 - 3 × 3

⇒ 15 + 0.2 - 9

⇒ 15.2 - 9 = 6.2

यहां समीकरण संतुष्ट नहीं है। 

(3) ÷ और ×

⇒ 15 ÷ 3 + 15 - 3 × 3 = 47

चिह्नों को बदलने पर:

⇒ 15 × 3 + 15 - 3 ÷ 3 = 47

BODMAS नियम लागू करें:

⇒ 15 × 3 + 15 - 1

⇒ 45 + 15 - 1

⇒ 60 - 1 = 59

यहां समीकरण संतुष्ट नहीं है।

(4) + और -

⇒ 15 ÷ 3 + 15 - 3 × 3 = 47

चिह्नों को बदलने पर:

⇒ 15 ÷ 3 - 15 + 3 × 3 = 47

BODMAS नियम लागू करें:

⇒ 5 - 15 + 3 × 3

⇒ 5 - 15 + 9

⇒ 14 - 15 = (-1)

यहां समीकरण संतुष्ट नहीं है।

अतः सही उत्तर ''विकल्प (1)'' है।

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