Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
88 * 44 * 22 * 66 * 99 * 251
Option 1: +, ÷, –, ×, =
Option 2: ÷, +, –, ×, =
Option 3: +, +, –, ×, =
Option 4: –, ÷, +, +, =
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Correct Answer: –, ÷, +, +, =
Solution :
Given:
88 * 44 * 22 * 66 * 99 * 251
Replace * with the mathematical signs and solve the equations one by one using the BODMAS.
Let's check the given options –
First option:
+, ÷, –, ×, =
⇒ 88 + 44 ÷ 22 – 66 × 99 = 251
Solving the L.H.S of the equation –
= 88 + 2 – 6534
= –6444 ≠ 251
Second option:
÷, +, –, ×, =
⇒ 88 ÷ 44 + 22 – 66 × 99 = 251
Solving the L.H.S of the equation –
= 2 + 22 – 6534
= –6510 ≠ 251
Third option:
+, +, –, ×, =
⇒ 88 + 44 + 22 – 66 × 99 = 251
Solving the L.H.S of the equation –
= 154 – 6534
= –6380 ≠ 251
Fourth option:
–, ÷, +, +, =
⇒ 88 – 44 ÷ 22 + 66 + 99 = 251
Solving the L.H.S of the equation –
= 88 – 2 + 165
= 251 = R.H.S.
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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