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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Question : Directions: Choose the correct sequence of signs for balancing the following equation. 8 _ 4 _ 2 _ 6 _ 3 = 19
Option 1: +, ×, –, ÷
Option 2: ÷, +, –, ×
Option 3: ×, ÷, –, +
Option 4: ×, ÷, +, –
Question : Directions: Select the correct combination of mathematical signs to replace the * signs and to balance the given equation. 52 * 4 * 38 * 5 * 5 * 0
Option 1: ×, ×, +, =, ×
Option 2: ÷, =, –, ×, +
Option 3: ×, +, ÷, =, –
Option 4: ÷, =, –, ÷, ×
Question : Directions: Which two signs should be interchanged to make the following equation correct? 22 – 16 ÷ (3 × 4) + 6 = 8
Option 1: ÷ and +
Option 2: – and ×
Option 3: – and +
Option 4: ÷ and ×
Question : Directions: Which of the following interchange of signs would make the given equation correct? 13 + 26 × 2 – 5 ÷ 4 = 6
Option 2: + and –
Option 3: × and –
Option 4: × and ÷
Question : Directions: Select the correct combination of the mathematical signs that can be filled to balance the following equation. 24 _ 6 _ 3 _ 4 _ 10 _ 6
Option 1: ÷, ×, =, +, +
Option 2: ÷, ×, +, =, +
Option 3: ÷, ×, –, =, ×
Option 4: +, =, ÷, ×, +
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