Question : Directions: Choose the correct sequence of signs for balancing the following equation. 20 _ 4 _ 6 _ 5 _ 35
Option 1: ÷, ×, –, =
Option 2: ×, ÷, +, =
Option 3: ÷, ×, +, =
Option 4: +, ×, ÷, =
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Correct Answer: ÷, ×, +, =
Solution : Given: 20 _ 4 _ 6 _ 5 _ 35
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: ÷, ×, –, = 20 ÷ 4 × 6 – 5 = 35 On solving the L.H.S. of the given equation – = 5 × 6 – 5 = 30 – 5 = 25 ≠ 35 Second option: ×, ÷, +, = 20 × 4 ÷ 6 + 5 = 35 On solving the L.H.S. of the given equation – = 20 × 0.67 + 5 = 13.4 + 5 = 18.4 ≠ 35 Third option: ÷, ×, +, = 20 ÷ 4 × 6 + 5 = 35 On solving the L.H.S. of the given equation – = 5 × 6 + 5 = 30 + 5 = 35 Fourth option: +, ×, ÷, = 20 + 4 × 6 ÷ 5 = 35 On solving the L.H.S. of the given equation – = 20 + 4 × 1.2 = 20 + 4.8 = 24.8 ≠ 35
So, the third option satisfies the given equation. Hence, the third option is correct.
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