Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 76 * 4 * 26 * 13 * 9 * 62
Option 1: –, +, ÷, ×, =
Option 2: +, ÷, ×, –, =
Option 3: +, –, ÷, ×, =
Option 4: ÷, –, +, ×, =
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Correct Answer: +, –, ÷, ×, =
Solution : Given: 76 * 4 * 26 * 13 * 9 * 62
Replace the * sign given in the equation with the assigned signs in the options. Let's check the options –
First option: –, +, ÷, ×, = ⇒ 76 – 4 + 26 ÷ 13 × 9 = 62 Solving the L.H.S. of the equation – = 76 – 4 + 2 × 9 = 76 – 4 + 18 = 90 ≠ 62 Second option: +, ÷, ×, –, = ⇒ 76 + 4 ÷ 26 × 13 – 9 = 62 Solving the L.H.S. of the equation – = 76 + 0.153 × 13 – 9 = 76 + 1.98 – 9 68.98 ≠ 62 Third option: +, –, ÷, ×, = ⇒ 76 + 4 – 26 ÷ 13 × 9 = 62 Solving the L.H.S. of the equation – = 76 + 4 – 2 × 9 = 76 + 4 – 18 = 62 = R.H.S. Fourth option: ÷, –, +, ×, = ⇒ 76 ÷ 4 – 26 + 13 × 9 = 62 Solving the L.H.S. of the equation – = 19 – 26 + 117 = 110 ≠ 62
So, only the third option satisfies the equation. Hence, the third option is correct.
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