Which two signs should be interchanged to make the…

Question

Which two signs should be interchanged to make the following equation correct?
$$18 - 23 \times 455 \div 7 + 28 = 377$$

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Question (English)

Which two signs should be interchanged to make the following equation correct?
$$18 - 23 \times 455 \div 7 + 28 = 377$$

  1. $\div$ and $-$
  2. $-$ and $+$
  3. $+$ and $\times$
  4. $-$ and $\times$ ✓ Correct
Explanation:

We need to interchange signs to satisfy the equation: $$18 - 23 \times 455 \div 7 + 28 = 377$$

Let's check the correct option: Interchanging $-$ and $\times$.

The new equation becomes: $$18 \times 23 - 455 \div 7 + 28$$

Now, apply the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction):

  1. Division: $$455 \div 7 = 65$$
    Equation becomes: $$18 \times 23 - 65 + 28$$
  2. Multiplication: $$18 \times 23 = 414$$
    Equation becomes: $$414 - 65 + 28$$
  3. Addition and Subtraction: $$414 - 65 = 349$$
    $$349 + 28 = 377$$

Since $$377 = 377$$, the equation is correct.

प्रश्न (हिंदी)

निम्नलिखित समीकरण को सही बनाने के लिए किन दो चिन्हों को आपस में बदला जाना चाहिए?
$$18 - 23 \times 455 \div 7 + 28 = 377$$

  1. $\div$ और $-$
  2. $-$ और $+$
  3. $+$ और $\times$
  4. $-$ और $\times$
स्पष्टीकरण:

हमें समीकरण को संतुष्ट करने के लिए चिन्हों को बदलना होगा: $$18 - 23 \times 455 \div 7 + 28 = 377$$

आइए सही विकल्प की जाँच करें: $-$ और $\times$ को आपस में बदलना

नया समीकरण बन जाता है: $$18 \times 23 - 455 \div 7 + 28$$

अब, BODMAS नियम (कोष्ठक, का, भाग, गुणा, जोड़, घटाव) लागू करें:

  1. भाग (Division): $$455 \div 7 = 65$$
    समीकरण बन जाता है: $$18 \times 23 - 65 + 28$$
  2. गुणा (Multiplication): $$18 \times 23 = 414$$
    समीकरण बन जाता है: $$414 - 65 + 28$$
  3. जोड़ और घटाव (Addition and Subtraction): $$414 - 65 = 349$$
    $$349 + 28 = 377$$

चूँकि $$377 = 377$$, अतः समीकरण सही है।

📚 About this Topic — General Awareness

This multiple choice question is from General Awareness, General Intelligence and Reasoning (2024), General Intelligence and Reasoning (2024)-2, SSC CGL Tier-1 (PYQs). 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 Awareness to strengthen your preparation.

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