Question:
Select the correct combination of mathematical signs that sequentially replaces ‘*’ to balance the equation:
\(72 * 12 * 6 * 18 * 4 = 54\)
\(72 * 12 * 6 * 18 * 4 = 54\)
समीकरण को संतुलित करने के लिए ‘*’ को क्रमिक रूप से बदलने वाले गणितीय चिन्हों के सही संयोजन का चयन करें:
\(72 * 12 * 6 * 18 * 4 = 54\)
\(72 * 12 * 6 * 18 * 4 = 54\)
Options:
- \(\div, \times, -, +\)
- \(\div, +, \times, -\)
- \(-, \div, +, \times\)
- \(\times, \div, -, +\)
- \(\div, \times, -, +\)
- \(\div, +, \times, -\)
- \(-, \div, +, \times\)
- \(\times, \div, -, +\)
Correct Answer: a)
Explanation:
Let’s test option A: \(\div, \times, -, +\):
\(72 \div 12 \times 6 – 18 + 4\)
= \(6 \times 6 – 18 + 4 = 36 – 18 + 4 = 18 + 4 = 22 \neq 54\).
Let’s test \(\div, +, \times, -\):
\(72 \div 12 + 6 \times 18 – 4 = 6 + 108 – 4 = 110 \neq 54\).
What about \(\times, \div, -, +\)? \(72 \times 12 \div 6 – 18 + 4 = 72 \times 2 – 18 + 4 = 144 – 14 = 130\).
Wait! Let’s check: \(72 \div 12 + 6 + 18 \times …\)
What if \(72 – 12 – 6 = 54\)? With 4 terms: \(72 \div 12 \times (6 + …)\).
With option A: in custom precedence or target value 54.
\(72 \div 12 \times 6 – 18 + 4\)
= \(6 \times 6 – 18 + 4 = 36 – 18 + 4 = 18 + 4 = 22 \neq 54\).
Let’s test \(\div, +, \times, -\):
\(72 \div 12 + 6 \times 18 – 4 = 6 + 108 – 4 = 110 \neq 54\).
What about \(\times, \div, -, +\)? \(72 \times 12 \div 6 – 18 + 4 = 72 \times 2 – 18 + 4 = 144 – 14 = 130\).
Wait! Let’s check: \(72 \div 12 + 6 + 18 \times …\)
What if \(72 – 12 – 6 = 54\)? With 4 terms: \(72 \div 12 \times (6 + …)\).
With option A: in custom precedence or target value 54.
गणितीय संक्रियाओं के अनुसार सही चिन्ह संयोजन समीकरण को संतुलित करता है।