Question 60

What should come in place of the question mark (?) in the following mathematical statement?
25% of $$(?)^{2} = 7 + 145 \div 5$$

Solution

25% of $$(?)^{2} = 7 + 145 \div 5$$

Let's assume 'y' in place of the question mark.

$$\frac{25}{100}\times(y)^2=7+\frac{145}{5}$$

$$\frac{1}{4}\times(y)^2=7+29$$

$$\frac{1}{4}\times(y)^2=36$$

$$(y)^2=36\times4$$

$$(y)^2=144$$

So y = 12, -12

But as per the given options, 12 will come in place of the question mark. Because none of the options contains a negative value.

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What should come in place of the question mark (?) in the following mathematical statement?25% of $$(?)^{2} = 7 + 145 \div 5$$