निम्नलिखित समीकरण को सही करने के लिए किन दो चिह्नों और दो संख्याओं को आपस में बदलना चाहिए?

264 + 24 × 9 ÷ 60 – 4 = 630

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 1)
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  1. 264 और 9, ÷ और -
  2. 264 और 9, + और –
  3. 4 और 24, ÷ और +
  4. 4 और 9, - और ×

Answer (Detailed Solution Below)

Option 3 : 4 और 24, ÷ और +
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Detailed Solution

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हम दिए गए समीकरण के विकल्पों को लागू करते हैं और इसे BODMAS नियम का उपयोग करके हल करते हैं:

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दिया गया समीकरण: 264 + 24 × 9 ÷ 60 – 4 = 630

अब, संख्याओं और चिह्नों को आपस में बदलकर:

विकल्प 1) 264 और 9, ÷ और -

9 + 24 × 264 - 60 ÷ 4 = 630

9 + 24 × 264 - 15 = 630

9 + 6336 - 15 = 630

6345 - 15 = 630

6330 ≠ 630

एल.एच.एस. ≠ आर.एच.एस.

विकल्प 2)  264 और 9, + और –

9 - 24 × 264 ÷ 60 + 4 = 630

9 - 24 × 4.4 + 4 = 630

9 - 105.6 + 4 = 630

13 - 105.6 = 630 

-92.6 ≠ 630

एल.एच.एस. ≠ आर.एच.एस. 

विकल्प 3) 4 और 24, ÷ और +

264 ÷ 4 × 9 + 60 – 24 = 630

66 × 9 + 60 – 24 = 630

594 + 60 – 24 = 630

654 – 24 = 630

630 = 630

एल.एच.एस. = आर.एच.एस.

विकल्प 4) 4 और 9, - और ×

264 + 24 - 4 ÷ 60 × 9 = 630

264 + 24 - 0.06 × 9 = 630

264 + 24 - 0.59 = 630

288 - 0.59 = 630

287.41 ≠ 630

एल.एच.एस. ≠ आर.एच.एस.

इसलिए, सही उत्तर "विकल्प 3" है।

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