Question
Download Solution PDFSelect the correct combination of mathematical signs to sequentially replace the % signs and to balance the given equation.
[{(32 % 28) % (6 % 4)} % (1 % 7)] % 5 % 20
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFBODMAS rule:
Given Equation: [{(32 % 28) % (6 % 4)} % (1 % 7)] % 5 % 20
Option 1) −, +, ×, ÷, ×, ×, =
[{(32 - 28) + (6 × 4)} ÷ (1 × 7)] × 5 = 20
[{(4) + (24)} ÷ 7] × 5 = 20
[{28} ÷ 7] × 5 = 20
4 × 5 = 20
20 = 20.
Option 2) ×, ÷, ×, ×, −, +, =
[{(32 × 28) ÷ (6 × 4)} × (1 - 7)] + 5 = 20
[{(896) ÷ (24)} × (- 6)] + 5 = 20
[{37.3} × (-6)] + 5 = 20
-223.8 + 5 = 20
-218.3 ≠ 20
Option 3) ×, −, +, ×, ÷, ×, =
[{(32 × 28) - (6 + 4)} × (1 ÷ 7)] × 5 = 20
[{(896) - (10)} × 0.14] × 5 = 20
[{886} × 0.14] × 5 = 20
124.04 × 5 = 20
620.2 ≠ 20
Option 4) −, +, ×, ×, ×, ×, =
[{(32 - 28) + (6 × 4)} × (1 × 7)] × 5 = 20
[{(4) + (24)} × 7] × 5 = 20
[{28} × 7] × 5 = 20
196 × 5 = 20
980 ≠ 20
Hence, the correct answer is "Option 1".
Last updated on Jun 13, 2025
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