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What will come in the place of question mark(?) in the given expression? ​342−262=?2−30 percent of 32034^2 - 26^2 = ?^2 - \text{30 per
Question



What will come in the place of question mark(?) in the given expression?
342262=?230 percent of 32034^2 - 26^2 = ?^2 - \text{30 percent of } 320​​

A.

18

B.

24

C.

12

D.

30

Correct option is B

Given:
342262=?2(30100×320)34^2 - 26^2 = ?^2 - \left( \frac{30}{100} \times 320 \right)​​
Formula used:
a2b2=(ab)(a+b),andx% of y=x100×ya^2 - b^2 = (a - b)(a + b), \quad \text{and} \quad x\% \text{ of } y = \frac{x}{100} \times y​​
Solution:
LHS: 342262=(3426)(34+26)=8×60=480RHS: ?2(30100×320)=?296\text{LHS: } 34^2 - 26^2 = (34 - 26)(34 + 26) = 8 \times 60 = 480 \\[5pt]\text{RHS: } ?^2 - \left( \frac{30}{100} \times 320 \right) = ?^2 - 96​​
Equating both sides:
480=?296=>?2=480+96=576=>?=576=24480 = ?^2 - 96 \\[5pt]\Rightarrow ?^2 = 480 + 96 = 576 \\[5pt]\Rightarrow ? = \sqrt{576} = 24​​
Correct answer is (b) 24.

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