Question:
Simplify the following expression:
\[3 + 28 \div 35 \times 15 + 4 – 3 \times 4\]
निम्नलिखित व्यंजक को सरल कीजिए:
\[3 + 28 \div 35 \times 15 + 4 – 3 \times 4\]
Options:
- 10
- 26
- 64
- 7
- 10
- 26
- 64
- 7
Correct Answer: d)
Explanation:
Applying BODMAS rule:
1. Division: \(28 \div 35 = \dfrac{28}{35} = \dfrac{4}{5}\)
2. Multiplication: \(\dfrac{4}{5} \times 15 = 4 \times 3 = 12\), and \(3 \times 4 = 12\)
3. Addition and Subtraction:
\[3 + 12 + 4 – 12 = 19 – 12 = 7\]
Hence, option (d) is correct.
BODMAS नियम के अनुसार:
1. भाग: \(28 \div 35 = \dfrac{28}{35} = \dfrac{4}{5}\)
2. गुणा: \(\dfrac{4}{5} \times 15 = 12\), तथा \(3 \times 4 = 12\)
3. जोड़ एवं घटाव:
\[3 + 12 + 4 – 12 = 7\]
अतः विकल्प (d) सही उत्तर है।