Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
86 * 54 * 34 * 68 * 2 * 33
Option 1: –, +, ÷, ×, =
Option 2: ÷, –, +, ×, =
Option 3: ×, ÷, ×, –, =
Option 4: +, ÷, ×, –, =
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Correct Answer: –, +, ÷, ×, =
Solution :
Given:
86 * 54 * 34 * 68 * 2 * 33
On replacing the mathematical signs in the options with the symbols in the given equation –
First option:
–, +, ÷, ×, =
⇒ 86 – 54 + 34 ÷ 68 × 2 = 33
Solving the L.H.S. of the equation –
= 86 – 54 + 0.5 × 2
= 86 – 54 + 1
= 87 – 54
= 33 = R.H.S.
Second option:
÷, –, +, ×, =
⇒ 86 ÷ 54 – 34 + 68 × 2 = 33
Solving the L.H.S. of the equation –
= 1.59 – 34 + 68 × 2
= 1.59 – 34 + 136
= 137.59 – 34
= 103.59 ≠ 33
Third option:
×, ÷, ×, –, =
⇒ 86 × 54 ÷ 34 × 68 – 2 = 33
Solving the L.H.S. of the equation –
= 86 × 54 ÷ 34 × 68 – 2
= 9288 – 2
= 9286 ≠ 33
Fourth option:
+, ÷, ×, –, =
⇒ 86 + 54 ÷ 34 × 68 – 2 = 33
Solving the L.H.S. of the equation –
= 86 + 108 – 2 = 33
= 194 – 2 = 33
= 192 ≠ 33
So, only the first option satisfies the given equation. Hence, the first option is correct.
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