Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
55 * 63 * 9 * 8 * 3 = 38
Option 1: ÷, ×, –, +
Option 2: ×, ÷, +, –
Option 3: +, –, ×, ÷
Option 4: +, ÷, –, ×
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Correct Answer: +, ÷, –, ×
Solution :
Given:
55 * 63 * 9 * 8 * 3 = 38
Let's check the given options –
First option:
÷, ×, –, +
⇒ 55 ÷ 63 × 9 – 8 + 3 = 38
Solving the L.H.S. of the equation –
= 7.86 – 8 + 3
= 2.86 ≠ 38
Second option:
×, ÷, +, –
⇒ 55 × 63 ÷ 9 + 8 – 3 = 38
Solving the L.H.S. of the equation –
= 385 + 8 – 3
= 390 ≠ 38
Third option:
+, –, ×, ÷
⇒ 55 + 63 – 9 × 8 ÷ 3 = 38
Solving the L.H.S. of the equation –
= 118 – 24
= 94 ≠ 38
Fourth option:
+, ÷, –, ×
⇒ 55 + 63 ÷ 9 – 8 × 3 = 38
Solving the L.H.S. of the equation –
= 55 + 7 – 24
= 38 = R.H.S.
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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