Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
12 * 4 * 15 * 3 * 16 * 24
Option 1: +, –, ÷, ×, =
Option 2: –, +, ÷, ×, =
Option 3: ÷, –, +, ×, =
Option 4: ÷, +, ÷, +, =
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Correct Answer: ÷, +, ÷, +, =
Solution :
Given:
12 * 4 * 15 * 3 * 16 * 24
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
+, –, ÷, ×, =
⇒ 12 + 4 – 15 ÷ 3 × 16 = 24
On solving the LHS of the equation –
= 12 + 4 – 5 × 16
= 12 + 4 – 80
= 16 – 80
= –64 ≠ 24
Second option:
–, +, ÷, ×, =
⇒ 12 – 4 + 15 ÷ 3 × 16 = 24
On solving the LHS of the equation –
= 12 – 4 + 5 × 16
= 12 – 4 + 80
= 92 – 4
= 88 ≠ 24
Third option:
÷, –, +, ×, =
⇒ 12 ÷ 4 – 15 + 3 × 16 = 24
On solving the LHS of the equation –
= 3 – 15 + 3 × 16
= 3 – 15 + 48
= 51 – 15
= 36 ≠ 24
Fourth option:
÷, +, ÷, +, =
⇒ 12 ÷ 4 + 15 ÷ 3 + 16 = 24
On solving the LHS of the equation –
= 3 + 5 + 16
= 24
Therefore, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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