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What will come in place of the question mark (?) in the following questions ?
`sqrt((625))xx12-864-:24=?+71`

A

193

B

183

C

181

D

190

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \sqrt{625} \times 12 - \frac{864}{24} = ? + 71 \), we will follow the order of operations (BODMAS/BIDMAS). ### Step-by-Step Solution: 1. **Calculate the square root of 625**: \[ \sqrt{625} = 25 \] **Hint**: Remember that the square root of a number is a value that, when multiplied by itself, gives the original number. 2. **Multiply the result by 12**: \[ 25 \times 12 = 300 \] **Hint**: Multiplication is straightforward; just multiply the two numbers together. 3. **Divide 864 by 24**: \[ \frac{864}{24} = 36 \] **Hint**: Division can be simplified by canceling out common factors if possible. 4. **Subtract the result of the division from the multiplication**: \[ 300 - 36 = 264 \] **Hint**: When subtracting, ensure you align the numbers correctly to avoid mistakes. 5. **Set up the equation**: \[ 264 = ? + 71 \] **Hint**: This equation shows that you need to isolate the question mark. 6. **Isolate the question mark**: \[ ? = 264 - 71 \] \[ ? = 193 \] **Hint**: To isolate a variable, you can perform the opposite operation on both sides of the equation. ### Final Answer: The value that comes in place of the question mark (?) is **193**.
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