Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
12 * 24 * 4 * 2 * 60
Option 1: +, ×, ÷, =
Option 2: −, ×, +, =
Option 3: +, ×, −, =
Option 4: +, ÷, ×, =
Correct Answer: +, ×, ÷, =
Solution :
Given:
12 * 24 * 4 * 2 * 60
Let's check the given options –
First option:
+, ×, ÷, =
⇒ 12 + 24 × 4 ÷ 2 = 60
Solving the L.H.S. of the equation –
= 12 + 24 × 4 ÷ 2
= 12 + 24 × 2
= 12 + 48
= 60
Second option:
−, ×, +, =
⇒ 12 – 24 × 4 + 2 = 60
Solving the L.H.S. of the equation –
= 12 – 96 + 2
= 14 – 96
= –82 ≠ 60
Third option:
+, ×, −, =
⇒ 12 + 24 × 4 – 2 = 60
Solving the L.H.S. of the equation –
= 12 + 96 – 2
= 108 – 2
= 106 ≠ 60
Fourth option:
+, ÷, ×, =
⇒ 12 + 24 ÷ 4 × 2 = 60
Solving the L.H.S. of the equation –
= 12 + 6 × 2
= 12 + 12
= 24 ≠ 60
So, only the first option satisfies the given equation. Hence, the first option is correct.
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