Question : Directions: Which two signs must be interchanged to correct the following equation? 32 − 8 ÷ 4 + 5 × 6 = 30
Option 1: × and +
Option 2: × and ÷
Option 3: ÷ and −
Option 4: ÷ and +
Correct Answer: ÷ and −
Solution : Given: 32 − 8 ÷ 4 + 5 × 6 = 30
Let's check the options – First options: × and + 32 − 8 ÷ 4 × 5 + 6 = 30 On solving the L.H.S. of the given equation – = 32 − 8 ÷ 4 × 5 + 6 = 32 − 2 × 5 + 6 = 32 − 10 + 6 = 28 ≠ 30 Second option: × and ÷ 32 − 8 × 4 + 5 ÷ 6 = 30 On solving the L.H.S. of the given equation – = 32 − 8 × 4 + 5 ÷ 6 = 32 − 8 × 4 + 0.83 = 32 − 32 + 0.83 = 0.83 ≠ 30 Third option: ÷ and − 32 ÷ 8 − 4 + 5 × 6 = 30 On solving the L.H.S. of the given equation – = 32 ÷ 8 − 4 + 5 × 6 = 4 − 4 + 5 × 6 = 4 − 4 + 30 = 30 Fourth option: ÷ and + 32 − 8 + 4 ÷ 5 × 6 = 30 On solving the L.H.S. of the given equation – = 32 − 8 + 4 ÷ 5 × 6 = 32 − 8 + 0.8 × 6 = 32 − 8 + 4.8 = 28.8 ≠ 30
So, the third option satisfies the equation. Hence, the third option is correct.
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Question : Directions: Which two signs need to be interchanged to make the following equation correct? 48 – 8 ÷ 4 + 5 × 6 = 32
Option 2: ÷ and –
Option 3: × and ÷
Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the following equation. (9 * 8 * 7) * 13 * 5
Option 1: ×, =, ÷, −
Option 2: ×, −, ÷, =
Option 3: ÷, −, =, ×
Option 4: −, ÷, ×, =
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 54 * 6 * 72 * 8 * 3 * 15
Option 1: ÷, +, ÷, −, =
Option 2: ÷, −, −, +, =
Option 3: +, ÷, ×, +, =
Option 4: ×, −, −, +, =
Question : Directions: Select the correct combination of mathematical signs to replace × signs and to balance the following equation. 5 × 9 × 3 × 6 × 8
Option 1: ×, +, =, ×
Option 2: ×, –, =, ×
Option 3: +, ÷, –, =
Option 4: +, ×, ÷, =
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. (130 * 4) * 21 * 485 * (28 * 2)
Option 1: +, −, =, −, ×
Option 2: ÷, +, =, −, ×
Option 3: ×, −, =, −, ÷
Option 4: ×, −, =, +, ÷
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