Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
59 * 12 * 6 * 24 * 2 * 105
Option 1: –, +, –, +, =
Option 2: ×, –, +, ×, =
Option 3: +, ×, +, –, =
Option 4: –, ÷, +, ×, =
Correct Answer: –, ÷, +, ×, =
Solution :
Given:
59 * 12 * 6 * 24 * 2 * 105
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
–, +, –, +, =
⇒ 59 * 12 * 6 * 24 * 2 * 105
Solving the L.H.S. of the equation –
= 59 – 12 + 6 – 24 + 2
= 67 – 36
= 31 ≠ 105
Second option:
×, –, +, ×, =
⇒ 59 * 12 * 6 * 24 * 2 * 105
Solving the L.H.S. of the equation –
= 59 × 12 – 6 + 24 × 2
= 708 – 6 + 48
= 750 ≠ 105
Third option:
+, ×, +, –, =
⇒ 59 * 12 * 6 * 24 * 2 * 105
Solving the L.H.S. of the equation –
= 59 + 12 × 6 + 24 – 2
= 59 + 72 + 24 – 2
= 153 ≠ 105
Fourth option:
–, ÷, +, ×, =
⇒ 59 * 12 * 6 * 24 * 2 * 105
Solving the L.H.S. of the equation –
= 59 – 12 ÷ 6 + 24 × 2
= 59 – 2 + 48
= 105
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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