Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
96 * 3 * 7 * 4 * 11 = 15
Option 1: ×, +, ÷, –
Option 2: ×, ÷, –, +
Option 3: +, ÷, ×, –
Option 4: ÷, –, ×, +
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Correct Answer: ÷, –, ×, +
Solution :
Given:
96 * 3 * 7 * 4 * 11 = 15
Replace the * sign given in the equation with the assigned signs in the options one by one –
First option:
×, +, ÷, –
96 × 3 + 7 ÷ 4 – 11 = 15
Solving the L.H.S. of the equation –
= 96 × 3 + 1.75 – 11
= 288 + 1.75 – 11
= 278.75 ≠ 15
Second option:
×, ÷, –, +
96 × 3 ÷ 7 – 4 + 11 = 15
Solving the L.H.S. of the equation –
= 96 × 0.428 – 4 + 11
= 41.088 – 4 + 11
= 48.088 ≠ 15
Third option:
+, ÷, ×, –
96 + 3 ÷ 7 × 4 – 11 = 15
Solving the L.H.S. of the equation –
= 96 + 0.428 × 4 – 11
= 96 + 1.712 – 11
= 86.712 ≠ 15
Fourth option:
÷, –, ×, +
96 ÷ 3 – 7 × 4 + 11 = 15
Solving the L.H.S. of the equation –
= 32 – 7 × 4 + 11
= 32 – 28 + 11
= 4 + 11
= 15
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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