Question
Download Solution PDFSelect the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
321 * 3 * 236 * 5 * 248 * 4 * 20 = 384
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384
(1) +, -, ×, +, ÷, ×
⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384
After putting the signs:
⇒ 321 + 3 - 236 × 5 + 248 ÷ 4 × 20 = 384
Apply BODMAS rule:
⇒ 321 + 3 - 236 × 5 + 62 × 20
⇒ 321 + 3 - 1180 + 1240
⇒ 1564 - 1180 = 384
⇒ '321 + 3 - 236 × 5 + 248 ÷ 4 × 20 = 384'
Here, the equation is satisfied.
(2) -, +, ×, -, ÷, +
⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384
After putting the signs:
⇒ 321 - 3 + 236 × 5 - 248 ÷ 4 + 20 = 384
Apply BODMAS rule:
⇒ 321 - 3 + 236 × 5 - 62 + 20
⇒ 321 - 3 + 1180 - 62 + 20
⇒ 1521 - 65 = 1456
Here, the equation is not satisfied.
(3) ÷, +, -, ×, +, -
⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384
After putting the signs:
⇒ 321 ÷ 3 + 236 - 5 × 248 + 4 - 20 = 384
Apply BODMAS rule:
⇒ 107 + 236 - 5 × 248 + 4 - 20
⇒ 107 + 236 - 1240 + 4 - 20
⇒ 347 - 1260 = (-913)
Here, the equation is not satisfied.
(4) ×, +, -, ÷, +, -
⇒ 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384
After putting the signs:
⇒ 321 × 3 + 236 - 5 ÷ 248 + 4 - 20 = 384
Apply BODMAS rule:
⇒ 321 × 3 + 236 - 0.0201 + 4 - 20
⇒ 963 + 236 - 0.0201 + 4 - 20
⇒ 1203 - 20.02 = 1182.97
Here, the equation is not satisfied.
Hence, the correct answer is "Option (1)".
Last updated on Jul 12, 2025
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