$\begin{array}{1 1} (A)\;78 \\(B)\;35 \\(C)\;56 \\(D)\;82 \end{array} $

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- Same Quantity can be added (a subtracted ) to (from ) both sides of the inequality with out changing the sign of the in equality.
- Same positive quantities can be multiplied or divided to both side of the in equality with out changing the sign of the inequality.
- If same negative quantity is multiplied or divided to both sides of the inequality is reversed i.e $ '>'$ sign changes to $'<' $ and $'<'$ changes $'>'$ .

Let x be the marks sunita obtained in the fifth examination.

Total marks obtained in all five examination is

$87 +92+94 +95+x $

To get grade A the average must be greater than or equal 90.

Thus $ \large\frac{87 +92+94 +95+x}{5} $$ \geq 90$

$=> \large\frac{368 +x}{5} $$ \geq 90$

Multiplying both sides by positive number 5.

$=> 368 +x \geq 450$

Subtracting 368 from both sides,

$=> x \leq 450 -368$

$=> x \geq 82$

Step 2:

Sunitha must obtain atleast 82 marks to get grade A.

Hence D is the correct answer.

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