Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following symbols. If + stands for division; × stands for addition; – stands for multiplication; and ÷ stands for subtraction; then which of the following equations is correct?
Option 1: 33 × 4 – 5 + 6 ÷ 2 = 26
Option 2: 33 ÷ 4 × 5 + 6 – 2 = 30
Option 3: 33 – 4 + 5 ÷ 6 × 2 = 24
Option 4: 33 – 4 ÷ 5 × 6 + 2 = 130
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Correct Answer: 33 – 4 ÷ 5 × 6 + 2 = 130
Solution : Given: + stands for division; × stands for addition; – stands for multiplication; and ÷ stands for subtraction.
Let's check the given options – Replace the given symbols in the options one by one with the original symbols in the given equation. First option: 33 × 4 – 5 + 6 ÷ 2 = 26 Now, replace the symbols as per the instructions given – = 33 + 4 × 5 ÷ 6 – 2 = 33 + 4 × 0.83 – 2 = 33 + 3.32 – 2 = 36.32 – 2 = 34.32 ≠ 26 Second option: 33 ÷ 4 x 5 + 6 – 2 = 30 Now, replace the symbols as per the instructions given – = 33 – 4 + 5 ÷ 6 × 2 = 33 – 4 + 0.83 × 2 = 33 – 4 + 1.66 = 34.66 – 4 = 30.66 ≠ 30 Third option: 33 – 4 + 5 ÷ 6 × 2 = 24 Now, replace the symbols as per the instructions given – = 33 × 4 ÷ 5 – 6 + 2 = 33 × 0.8 – 6 + 2 = 26.4 – 6 + 2 = 28.4 – 6 = 22.4 ≠ 24 Fourth option: 33 – 4 ÷ 5 × 6 + 2 = 130 Now, replace the symbols as per the instructions given – = 33 × 4 – 5 + 6 ÷ 2 = 33 × 4 – 5 + 3 = 132 – 5 + 3 = 135 – 5 = 130 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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Question :
Directions: In the following question you have to identify the correct response from the given premises stated according to the following symbols. What will be the correct mathematical signs that can be inserted in the following? 4..6..2..4..8 = 16
Option 1: –, ×, +, ÷
Option 2: ÷, +, ×, –
Option 3: +, ÷, –, ×
Option 4: ×, ÷, –, +
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: Choose the correct sequence of signs for balancing the following equation. 20 _ 4 _ 6 _ 5 _ 35
Option 1: ÷, ×, –, =
Option 2: ×, ÷, +, =
Option 3: ÷, ×, +, =
Option 4: +, ×, ÷, =
Question : Directions: Which of the following equations will be correct when the signs × and ÷ and the numbers 12 and 9 are interchanged?
Option 1: 12 + 8 × 9 + (24 ÷ 5 + 8) – 7 = 35
Option 2: 9 × 17 + 5 (24 ÷ 9) – 12 = 46
Option 3: 14 ÷ 2 + 10 (12 – 6) × 9 = 37
Option 4: 10 + 2 ÷ 3 + (24 × 9 + 8) – 12 = 17
Question : Directions: Which of the following interchange of signs would make the given equation correct? 13 + 26 × 2 – 5 ÷ 4 = 6
Option 1: ÷ and +
Option 2: + and –
Option 3: × and –
Option 4: × and ÷
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