Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 17 * 21 * 7 * 5 * 4 * 34
Option 1: ÷, –, +, ×, =
Option 2: –, ÷, +, ×, =
Option 3: +, ×, ÷, –, =
Option 4: ×, –, ÷, +, =
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Correct Answer: –, ÷, +, ×, =
Solution : Given: 17 * 21 * 7 * 5 * 4 * 34
Replace * with the mathematical signs and solve the equations one by one using the BODMAS. Let's check the options – First option: ÷, –, +, ×, = ⇒ 17 ÷ 21 – 7 + 5 × 4 = 34 Solving the L.H.S. of the equation – = 0.81 – 7 + 5 × 4 = 0.81 – 7 + 20 = 20.81 – 7 = 13.81 ≠ 34 Second option: –, ÷, +, ×, = ⇒ 17 – 21 ÷ 7 + 5 × 4 = 34 Solving the L.H.S. of the equation – = 17 – 3 + 5 × 4 = 17 – 3 + 20 = 37 – 3 = 34 = R.H.S. Third option: +, ×, ÷, –, = ⇒ 17 + 21 × 7 ÷ 5 – 4 = 34 Solving the L.H.S. of the equation – = 17 + 21 × 1.4 – 4 = 17 + 29.4 – 4 = 46.4 – 4 = 42.4 ≠ 34 Fourth option: ×, –, ÷, +, = ⇒ 17 × 21 – 7 ÷ 5 + 4 = 34 Solving the L.H.S. of the equation – = 17 × 21 – 1.4 + 4 = 357 – 1.4 + 4 = 361 – 1.4 = 359.6 ≠ 34
So, only the second option satisfies the given equation. Hence, the second option is correct.
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