Question : Directions: 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
Option 1: ×, ÷, ×, ×, –, +, =
Option 2: ×, –, +, ×, ÷, ×, =
Option 3: –, +, ×, ×, ÷, ×, =
Option 4: –, +, ×, ÷, ×, ×, =

Question

Question : Directions: 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

Option 1: ×, ÷, ×, ×, –, +, =

Option 2: ×, –, +, ×, ÷, ×, =

Option 3: –, +, ×, ×, ÷, ×, =

Option 4: –, +, ×, ÷, ×, ×, =

Team Careers360 · Accepted Answer

Correct Answer: –, +, ×, ÷, ×, ×, =

Solution : Given:
[{(44 # 38) # (2 # 5)} # (4 # 2)] # 5 # 10

Replace # with the mathematical signs and solve the equations one by one.
Let's check the given options –
First option: ×, ÷, ×, ×, –, +, =
⇒ [{(44 × 38) ÷ (2 × 5)} × (4 – 2)] + 5 = 10
Solving the L.H.S. of the equation –
= [{1672 ÷ 10} × 2] + 5
= [167.2 × 2] + 5
= 334.4 + 5
= 339.4 ≠ 10
Second option: ×, –, +, ×, ÷, ×, =
⇒ [{(44 × 38) – (2 + 5)} × (4 ÷ 2)] × 5 = 10
Solving the L.H.S. of the equation –
= [{1672 – 7} × 2] × 5
= [1665 × 2] × 5
= 3330 × 5
= 16650 ≠ 10
Third option: –, +, ×, ×, ÷, ×, =
⇒ [{(44 – 38) + (2 × 5)} × (4 ÷ 2)] × 5 = 10
Solving the L.H.S. of the equation –
= [{6 + 10} × 2] × 5
= [16 × 2] × 5
= 32 × 5
= 160 ≠ 10
Fourth option: –, +, ×, ÷, ×, ×, =
⇒ [{(44 – 38) + (2 × 5)} ÷ (4 × 2)] × 5 = 10
Solving the L.H.S. of the equation –
= [{6 + 10} ÷ 8] × 5
= [16 ÷ 8] × 5
= 2 × 5 = 10

So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.

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