Question
Download Solution PDFSelect the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
55 * 63 * 9 * 8 * 3 = 38
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 55 * 63 * 9 * 8 * 3 = 38
(1) ÷, ×, -, +
⇒ 55 * 63 * 9 * 8 * 3 = 38
After putting the signs:
⇒ 55 ÷ 63 × 9 - 8 + 3 = 38
Apply BODMAS rule:
⇒ 0.873 × 9 - 8 + 3
⇒ 7.857 - 8 + 3
⇒ 10.857 - 8 = 2.857
Here, the equation is not satisfied.
(2) ×, ÷, +, -
⇒ 55 * 63 * 9 * 8 * 3 = 38
After putting the signs:
⇒ 55 × 63 ÷ 9 + 8 - 3 = 38
Apply BODMAS rule:
⇒ 55 × 7 + 8 - 3
⇒ 385 + 8 - 3
⇒ 393 - 3 = 390
Here, the equation is not satisfied.
(3) +, -, ×, ÷
⇒ 55 * 63 * 9 * 8 * 3 = 38
After putting the signs:
⇒ 55 + 63 - 9 × 8 ÷ 3 = 38
Apply BODMAS rule:
⇒ 55 + 63 - 9 × 2.66
⇒ 55 + 63 - 23.94
⇒ 118 - 23.94 = 94.06
Here, the equation is not satisfied.
(4) +, ÷, -, ×
⇒ 55 * 63 * 9 * 8 * 3 = 38
After putting the signs:
⇒ 55 + 63 ÷ 9 - 8 × 3 = 38
Apply BODMAS rule:
⇒ 55 + 7 - 8 × 3
⇒ 55 + 7 - 24
⇒ 62 - 24 = 38
⇒ '55 + 63 ÷ 9 - 8 × 3 = 38'
Here, the equation is satisfied.
Hence, the correct answer is "Option (4)".
Last updated on Jun 13, 2025
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