Question : Directions: Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
23 * 12 * 36 * 2 * 9 * 285
Option 1: –, =, ×, ×, ÷
Option 2: ×, +, ÷, –, =
Option 3: +, +, =, ×, ×
Option 4: =, +, +, ×, –
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Correct Answer: ×, +, ÷, –, =
Solution :
Given:
23 * 12 * 36 * 2 * 9 * 285
Replace * with the mathematical signs and solve the equations one by one using the BODMAS.
Let's check the given options –
First option:
–, =, ×, ×, ÷
⇒ 23 – 12 = 36 × 2 × 9 ÷ 285
Solving the L.H.S. and R.H.S. of the equation –
⇒ 11 = 36 × 2 × 0.0315
⇒ 11 ≠ 2.27
Second option:
×, +, ÷, –, =
⇒ 23 × 12 + 36 ÷ 2 – 9 = 285
Solving the L.H.S. of the equation –
= 276 + 18 – 9
= 285 = R.H.S.
Third option:
+, +, =, ×, ×
⇒ 23 + 12 + 36 = 2 × 9 × 285
Solving the L.H.S. and R.H.S. of the equation –
= 71 ≠ 5130
Fourth option:
=, +, +, ×, –
⇒ 23 = 12 + 36 + 2 × 9 – 285
Solving the R.H.S. of the equation –
= 12 + 36 + 18 – 285
= 66 – 285
= 23 ≠ –219
So, only the second option satisfies the given equation. Hence, the second option is correct.
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