What will come in the place of ‘?’ in the following…

Question

What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and '$\times$' and '$\div$' are interchanged?
$$5 - 4 \div 9 + 80 \times 10 = ?$$

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Question (English)

What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and '$\times$' and '$\div$' are interchanged?
$$5 - 4 \div 9 + 80 \times 10 = ?$$

  1. 31
  2. 33 ✓ Correct
  3. 35
  4. 30
Explanation:

Given Equation: $5 - 4 \div 9 + 80 \times 10 = ?$

Interchanges to be made:

  • Replace $+$ with $-$ and $-$ with $+$
  • Replace $\times$ with $\div$ and $\div$ with $\times$

New Equation:
$5 + 4 \times 9 - 80 \div 10 = ?$

Step-by-step Solution (BODMAS Rule):

  1. Division: $80 \div 10 = 8$
    Equation becomes: $5 + 4 \times 9 - 8$
  2. Multiplication: $4 \times 9 = 36$
    Equation becomes: $5 + 36 - 8$
  3. Addition: $5 + 36 = 41$
  4. Subtraction: $41 - 8 = 33$

The correct answer is 33.

प्रश्न (हिंदी)

निम्नलिखित समीकरण में '?' के स्थान पर क्या आएगा, यदि '+' और '-' को आपस में बदल दिया जाए और '$\times$' और '$\div$' को आपस में बदल दिया जाए?
$$5 - 4 \div 9 + 80 \times 10 = ?$$

  1. 31
  2. 33
  3. 35
  4. 30
स्पष्टीकरण:

दिया गया समीकरण: $5 - 4 \div 9 + 80 \times 10 = ?$

दिए गए निर्देशानुसार बदलाव:

  • $+$ की जगह $-$ और $-$ की जगह $+$ रखें।
  • $\times$ की जगह $\div$ और $\div$ की जगह $\times$ रखें।

नया समीकरण:
$5 + 4 \times 9 - 80 \div 10 = ?$

हल (BODMAS नियम के अनुसार):

  1. भाग (Division): सबसे पहले $80 \div 10$ हल करेंगे, जिससे $8$ मिलेगा।
    समीकरण: $5 + 4 \times 9 - 8$
  2. गुणा (Multiplication): अब $4 \times 9$ करेंगे, जिससे $36$ मिलेगा।
    समीकरण: $5 + 36 - 8$
  3. जोड़ (Addition): $5 + 36$ जोड़ने पर $41$ प्राप्त होगा।
  4. घटाव (Subtraction): अंत में $41 - 8$ करने पर उत्तर 33 आएगा।

📚 About this Topic — General Intelligence and Reasoning (2024)-1

This multiple choice question is from General Intelligence and Reasoning (2024)-1. It has 4 options with a detailed explanation of the correct answer and is available in both English and Hindi (द्विभाषी). Practice more MCQs from General Intelligence and Reasoning (2024)-1 to strengthen your preparation.

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