Question : Directions: Which of the following interchange of numbers and mathematical signs would make the given equation correct? 30 ÷ 6 × 4 + 15 − 35 = 25
Option 1: 25 and 30; × and –
Option 2: 4 and 6; + and –
Option 3: 25 and 35; × and ÷
Option 4: 30 and 35; – and ÷
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Correct Answer: 25 and 35; × and ÷
Solution : Given: 30 ÷ 6 × 4 + 15 − 35 = 25
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation.
Let's check each option – First option: 25 and 30; × and – = 25 ÷ 6 × 4 + 15 − 35 = 30 = 16.67 + 15 − 35 = 30 = −3.34 ≠ 30 Second option: 4 and 6; + and – = 30 ÷ 4 × 6 − 15 + 35 = 25 = 45 − 15 + 35 = 65 ≠ 25 Third option: 25 and 35; × and ÷ = 30 × 6 ÷ 4 + 15 − 25 = 35 = 45 + 15 − 25 = 35 (L.H.S. = R.H.S.) Fourth option: 30 and 35; – and ÷ = 35 ÷ 6 × 4 + 15 − 30 = 25 = 23.34 + 15 − 30 = 8.34 ≠ 25
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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Question : Directions: Which of the following interchange of numbers and mathematical signs would make the given equation correct? 72 ÷ 6 − 20 + 30 × 5 = 70
Option 1: 5 and 20, − and ×
Option 2: 20 and 30, × and ÷
Option 3: 5 and 70, + and −
Option 4: 6 and 20, + and ÷
Question : Directions: Which of the following interchanges of signs and numbers would make the given equation correct? 25 – 10 ÷ 5 + 15 × 30 = 55
Option 1: × and ÷, 30 and 25
Option 2: ÷ and +, 15 and 10
Option 3: × and –, 15 and 10
Option 4: + and –, 5 and 10
Question : Directions: Which of the following interchange of mathematical signs would make the given equation correct? 20 ÷ 4 × 8 + 16 – 15 = 11
Option 1: – and ÷
Option 2: + and –
Option 3: × and ÷
Option 4: + and ×
Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation. 66 * 6 * 12 * 3 * 15 = 12
Option 1: ÷, −, ×, +
Option 2: +, −, ÷, ×
Option 3: ÷, ×, +, −
Option 4: ×, −, ÷, +
Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation. 5 * 15 * 320 * 2 * 45 = 190
Option 1: +, ÷, ×, −
Option 2: ×, +, ÷, −
Option 3: +, ×, ÷, −
Option 4: ×, ÷, −, +
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