Select 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

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 4)
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  1. ×, ÷, ×, ×, –, +, =   
  2. ×, –, +, ×, ÷, ×, =  
  3. –, +, ×, ×, ÷, ×, =   
  4. –, +, ×, ÷, ×, ×, =  

Answer (Detailed Solution Below)

Option 4 : –, +, ×, ÷, ×, ×, =  
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Detailed Solution

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According to BODMAS rule

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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)} × (÷ 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.

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