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What will come in place of question mark...

What will come in place of question mark (?) .
`(4.4xx4.4-2.2xx2.2)/(4.4-2.2) = ?`

A

2.2

B

4.4

C

6.6

D

5.5

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \((4.4 \times 4.4 - 2.2 \times 2.2) / (4.4 - 2.2)\), we can follow these steps: ### Step-by-Step Solution: 1. **Rewrite the expression**: \[ \frac{4.4 \times 4.4 - 2.2 \times 2.2}{4.4 - 2.2} \] 2. **Recognize the difference of squares**: The numerator can be expressed as a difference of squares: \[ a^2 - b^2 = (a - b)(a + b) \] where \(a = 4.4\) and \(b = 2.2\). 3. **Apply the difference of squares formula**: Substitute \(a\) and \(b\) into the formula: \[ 4.4^2 - 2.2^2 = (4.4 - 2.2)(4.4 + 2.2) \] 4. **Substitute back into the expression**: Now, rewrite the original expression using the difference of squares: \[ \frac{(4.4 - 2.2)(4.4 + 2.2)}{4.4 - 2.2} \] 5. **Cancel the common terms**: The \(4.4 - 2.2\) in the numerator and denominator can be canceled: \[ 4.4 + 2.2 \] 6. **Calculate the remaining expression**: Now, perform the addition: \[ 4.4 + 2.2 = 6.6 \] ### Final Answer: Thus, the value that comes in place of the question mark (?) is: \[ \boxed{6.6} \]
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UPKAR PUBLICATION -PRACTICE SET-2-PART-III Quantitative Aptitude
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  3. What will come in place of question mark (?) . (4.4xx4.4-2.2xx2.2)/(...

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  4. What will come in place of question mark (?) . 1/4 + 3 1/2 + 1 1/4 +...

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  7. What will come in place of question mark (?) . ? div 125 xx 25 = 50...

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  8. What will come in place of question mark (?) . 225 xx 125 div ? = ...

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  9. What will come in place of question mark (?) . 25% of 25% div 5 xx 6...

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  10. What will come in place of question mark (?) . 6.2xx ? = 12462

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  11. What will come in place of question mark (?) . 11 xx 11 + (?)^2 + 13...

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  12. What will come in place of question mark (?) . 2 1/2 - 5 2/3 + 1 1/5...

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  13. What will come in place of question mark (?) . 33 xx 33 - ?^(1//2) +...

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  14. What will come in place of question mark (?) . 10xx10% + 10% - 5 = ?

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  15. What will come in place of question mark (?) . 5.2 xx 5.1 xx 5.0= ?

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  16. What will come in place of question mark (?) . 7.005-2.889= ?

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