Question
Download Solution PDFSelect the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
74 * 34 * 78 * 23 * 23 * 30
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 74 * 34 * 78 * 23 * 23 * 30
(1) ÷, -, +, ×, =
⇒ 74 * 34 * 78 * 23 * 23 * 30
After putting the signs:
⇒74 ÷ 34 - 78 + 23 × 23 = 30
Apply BODMAS rule:
⇒ 2.17 - 78 + 23 × 23
⇒ 2.17 - 78 + 529
⇒ 531.17 - 78 = 453.17
Here, the equation is not satisfied.
(2) +, ÷, ×, -, =
⇒ 74 * 34 * 78 * 23 * 23 * 30
After putting the signs:
⇒ 74 + 34 ÷ 78 × 23 - 23 = 30
Apply BODMAS rule:
⇒ 74 + 0.435 × 23 - 23
⇒ 74 + 10.02 - 23
⇒ 84.02 - 23 = 61.02
Here, the equation is not satisfied.
(3) +, -, +, -, =
⇒ 74 * 34 * 78 * 23 * 23 * 30
After putting the signs:
⇒ 74 + 34 - 78 + 23 - 23 = 30
Apply BODMAS rule:
⇒ 131 - 78 - 23
⇒ 131 - 101 = 30
⇒ '74 + 34 - 78 + 23 - 23 = 30'
Here, the equation is satisfied.
(4) -, ÷, +, ×, =
⇒ 74 * 34 * 78 * 23 * 23 * 30
After putting the signs:
⇒ 74 - 34 ÷ 78 + 23 × 23 = 30
Apply BODMAS rule:
⇒ 74 - 0.435 + 23 × 23
⇒ 74 - 0.435 + 529
⇒ 603 - 0.435 = 602.56
Here, the equation is not satisfied.
Hence, the correct answer is "Option (3)".
Last updated on Jun 13, 2025
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