Question : Directions: Which of the following pairs of numbers and signs, when their positions are interchanged, will correctly solve the given mathematical equation? 17 × 15 + 3 – 11 ÷ 3 = 45
Option 1: 15 and 11, – and ×
Option 2: 15 and 11, + and ×
Option 3: 17 and 3, – and ÷
Option 4: 15 and 11, + and –
Correct Answer: 15 and 11, + and ×
Solution : Given: 17 × 15 + 3 – 11 ÷ 3 = 45
Interchanging the mathematical operations and numbers according to the given options to make the equation correct. First option: 15 and 11, – and × 17 – 11 + 3 × 15 ÷ 3 = 45 L.H.S.→17 – 11 + 3 × 5 17 – 11 + 15 6 + 15 = 45 21 ≠ 45 Second option: 15 and 11, + and × 17 + 11 × 3 – 15 ÷ 3 = 45 L.H.S.→17 + 11 × 3 – 5 17 + 33 – 5 = 45 45 = 45 (L.H.S. = R.H.S.) Third option: 17 and 3, – and ÷ 3 × 15 + 17 ÷ 11 – 17 = 45 L.H.S.→3 × 15 + 17 ÷ 11 – 17 3 × 15 + 1.5 – 17 45 + 1.5 – 17 = 29.5 29.5 ≠ 45 Fourth option: 15 and 11, + and - 17 × 11 – 3 + 15 ÷ 3 = 45 L.H.S.→17 × 11 – 3 + 5 187 – 3 + 5 = 189 189 ≠ 45
So, only the second option satisfies the equation. Hence, the second option is correct.
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Question : Directions: Which two mathematical signs should be interchanged to make the given equation correct? (45 × 2) ÷ 15 – (6 × 3) + 10 – (63 ÷ 21) = 17
Option 1: ÷ and +
Option 2: × and –
Option 3: – and +
Option 4: ÷ and ×
Question : Directions: Which two mathematical signs should be interchanged to make the given equation correct? 15 × 3 ÷ 15 – (45 × 3) – 10 + (13 ÷ 2) = 76
Option 1: ÷ and ×
Option 2: × and +
Option 3: × and –
Option 4: ÷ and +
Question : Directions: Which two mathematical signs should be interchanged to make the given equation correct? (75 + 15) × 27 × 1 – 9 ÷ 7 × (135 + 3) – 10 ÷ (189 + 63) = 434
Option 1: + and ÷
Option 2: + and –
Option 3: × and +
Option 4: ÷ and –
Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the following equation. 86 * (5 * 8 * 4) * 9 * 85
Option 1: –, ×, ÷, +, =
Option 2: +, ×, ÷, –, =
Option 3: +, –, ×, ÷, =
Option 4: ÷, –, ×, +, =
Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation. 15 * 5 * 24 * 140 * 7 * 71
Option 1: ÷, +, –, ×, =
Option 2: ×, –, ÷, +, =
Option 3: ×, –, +, ÷, =
Option 4: ×, ÷, +, –, =
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