Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
54 * 6 * 72 * 8 * 3 * 15
Option 1: ÷, +, ÷, −, =
Option 2: ÷, −, −, +, =
Option 3: +, ÷, ×, +, =
Option 4: ×, −, −, +, =
Correct Answer: ÷, +, ÷, −, =
Solution :
Given:
54 * 6 * 72 * 8 * 3 * 15
Let's check the given options –
First option:
÷, +, ÷, −, =
⇒ 54 ÷ 6 + 72 ÷ 8 – 3 = 15
Solving the L.H.S. of the equation –
= 9 + 9 – 3
= 18 – 3
= 15
Second option:
÷, –, –, +, =
⇒ 54 ÷ 6 – 72 – 8 + 3 = 15
Solving the L.H.S. of the equation –
= 9 – 72 – 8 + 3
= 12 – 72 – 8
= –68 ≠ 15
Third option:
+, ÷, ×, +, =
⇒ 54 + 6 ÷ 72 × 8 + 3 = 15
Solving the L.H.S. of the equation –
= 54 + 0.67 + 3
= 57.67 ≠ 15
Fourth option:
×, –, –, +, =
⇒ 54 × 6 – 72 – 8 + 3 = 15
Solving the L.H.S. of the equation –
= 324 – 72 – 8 + 3
= 327 – 72 – 8
= 247 ≠ 15
So, only the first option satisfies the given equation. Hence, the first option is correct.
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