Question
Download Solution PDFSelect the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
62 * 11 * 42 * 6 * 18 * 21 * 7
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 62 * 11 * 42 * 6 * 18 * 21 * 7
(1) +, −, =, ×, −, ÷
⇒ 62 * 11 * 42 * 6 * 18 * 21 * 7
After putting the signs:
⇒ 62 + 11 - 42 = 6 × 18 - 21 ÷ 7
Apply BODMAS rule:
⇒ 73 - 42 = 6 × 18 - 3
⇒ 31 = 108 - 3
⇒ 31 = 105
Here, the equation is not satisfied.
(2) =, ×, ÷, −, +, ÷
⇒ 62 * 11 * 42 * 6 * 18 * 21 * 7
After putting the signs:
⇒ 62 = 11 × 42 ÷ 6 - 18 + 21 ÷ 7
Apply BODMAS rule:
⇒ 62 = 11 × 7 - 18 + 3
⇒ 62 = 77 - 18 + 3
⇒ 62 = 80 - 18
⇒ 62 = 62
Here, the equation is satisfied.
(3) −, +, =, ×, −, +
⇒ 62 * 11 * 42 * 6 * 18 * 21 * 7
After putting the signs:
⇒ 62 - 11 + 42 = 6 × 18 - 21 + 7
Apply BODMAS rule:
⇒ 104 - 11 = 108 - 21 + 7
⇒ 93 = 115 - 21
⇒ 93 = 94
Here, the equation is not satisfied.
(4) +, −, ÷, =, ×, +
⇒ 62 * 11 * 42 * 6 * 18 * 21 * 7
After putting the signs:
⇒ 62 + 11 - 42 ÷ 6 = 18 × 21 + 7
Apply BODMAS rule:
⇒ 62 + 11 - 7 = 378 + 7
⇒ 73 - 7 = 385
⇒ 66 = 385
Here, the equation is not satisfied.
Hence, the correct answer is "=, ×, ÷, −, +, ÷".
Last updated on Jun 13, 2025
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