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What value will come in place of questio...

What value will come in place of question mark (?) in the questions given below ?
`(1)/(7)xx0.25xx140=?+5`

A

0

B

245

C

5

D

100

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{1}{7} \times 0.25 \times 140 = ? + 5 \), we will follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ \frac{1}{7} \times 0.25 \times 140 = ? + 5 \] Let’s denote the unknown value as \( x \): \[ \frac{1}{7} \times 0.25 \times 140 = x + 5 \] ### Step 2: Simplify \( 0.25 \) We can rewrite \( 0.25 \) as a fraction: \[ 0.25 = \frac{25}{100} = \frac{1}{4} \] So now our equation becomes: \[ \frac{1}{7} \times \frac{1}{4} \times 140 = x + 5 \] ### Step 3: Calculate \( \frac{1}{7} \times \frac{1}{4} \times 140 \) Now we can simplify the left side: \[ \frac{1}{7} \times \frac{1}{4} \times 140 = \frac{140}{28} = 5 \] This is because \( 140 \div 7 = 20 \) and \( 20 \div 4 = 5 \). ### Step 4: Substitute back into the equation Now substitute back into the equation: \[ 5 = x + 5 \] ### Step 5: Solve for \( x \) To find \( x \), we subtract 5 from both sides: \[ 5 - 5 = x \] \[ 0 = x \] ### Conclusion Thus, the value that comes in place of the question mark \( ? \) is: \[ \boxed{0} \] ---
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