Subtracting polynomials Quiz 1

Question 1

If twice of $$y$$is subtracted from twice of $$x$$, it results in $$8$$. Then find the value of $$\dfrac{{{27}^{x}}}{{{9}^{y}}}$$.

Accepted Answer

$$6561$$

Answer

$$6560$$

Answer

$$6236$$

Answer

$$6334$$

Question 2

If $$|4x-4|\le 8$$ and $$|5y-5|\le 20$$, then what is the maximum value of $$2x-3y$$?

Accepted Answer

$$15$$

Answer

$$5$$

Answer

$$12$$

Answer

$$16$$

Question 3

The sum of five consecutive integers is less than $$2000$$ and divisible by $$227$$. Find the average of the five numbers.

Accepted Answer

$$15$$

Answer

$$11$$

Answer

$$13$$

Answer

$$17$$

Question 4

If $$f\left( x ight)$$ is a quadratic polynomial, such that $$f\left( 5 ight)=150 ,f\left( -5 ight)=110$$ and $$f\left( p ight)=f\left( q ight)=0$$, then find $$p	imes q$$, given that the value of the constant term in the polynomial is $$10$$.

Accepted Answer

$$\dfrac{100}{48}$$

Answer

$$\dfrac{100}{41}$$

Answer

$$\dfrac{100}{3}$$

Answer

Cannot be determined

Question 5

If p and q are two integers then find the greatest value of the expression $${{p}^{2}}+pq+{{q}^{2}}-7$$, where, $$4 < p < 5,8 < q < 7$$.

Accepted Answer

$$72$$

Answer

$$69$$

Answer

$$92$$

Answer

$$68$$