Question
Download Solution PDFSelect the correct combination of mathematical signs to sequentially replace the # signs and to balance the given equation.
[{(44 # 38) # (2 # 5)} # (4 # 2)] # 5 # 10
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFAccording to BODMAS rule
Given expression : [{(44 # 38) # (2 # 5)} # (4 # 2)] # 5 # 10
Option 1) ×, ÷, ×, ×, –, +, =
[{(44 × 38) ÷ (2 × 5)} × (4 – 2)] + 5 = 10
[{1672 ÷ 10} × 8] + 5 = 10
[167.2 × 8] + 5 = 10
1337.6 + 5 = 10
1342.6 ≠ 10
Option 2) ×, –, +, ×, ÷, ×, =
[{(44 × 38) - (2 + 5)} × (4 ÷ 2)] × 5 = 10
[{1672 - 7} × (8)] × 5 = 10
[1665 × (8)] × 5 = 10
13320 × 5 = 10
66600 ≠ 10
Option 3) –, +, ×, ×, ÷, ×, =
[{(44 - 38) + (2 × 5)} × (4 ÷ 2)] × 5 = 10
[{(6) + (10)} × (2)] × 5 = 10
[16 × (2)] × 5 = 10
32 × 5 = 10
160 ≠ 10
Option 4) –, +, ×, ÷, ×, ×, =
[{(44 - 38) + (2 × 5)} ÷ (4 × 2)] × 5 = 10
[{(6) + (10)} ÷ (8)] × 5 = 10
[16 ÷ (8)] × 5 = 10
2 × 5 = 10
10 = 10
Hence, the correct answer is Option 4.
Last updated on Jul 11, 2025
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