10th Class Mathematics Chapter 5 Test05. Algebraic Fractions

Q1. Multiple choice questions (Attempt all · 8 × 1 = 8)

1. An expression which is the ratio of two polynomials but the polynomial in denominator is non-zero is called.
   1. polynomial
   2. rational Expression
   3. compound Expression
   4. irrational Expression
2. Coefficients in the polynomial $\sqrt{16x^2y} - \frac{1}{2}y^3 + \frac{22}{7}z$ are the elements of the set of:
   1. Integers
   2. Irrational numbers
   3. Odd numbers
   4. Rational numbers
3. Ali is 2 years younger than his sister Ayesha. If Ayesha's present age is x years, then the age of Ali after 5 years will be.
   1. (x + 7) years
   2. (x - 2) years
   3. (x + 3) years
   4. (x - 7) years
4. Difference of the sum of a and b from the product of a and b is
   1. ab - a - b
   2. a + b - ab
   3. 2ab - b
   4. none
5. Leading coefficient in $\frac{x^2}{2} - \frac{1}{8} - \frac{x^4}{4} + \frac{x^3}{7}$is
   1. $\frac{1}{2}$
   2. $\frac{1}{4}$
   3. $\frac{1}{7}$
   4. $-\frac{1}{4}$
6. $\frac{x^3 y^3 + y^3 z^3 + z^3 x^3}{x^3 y^3 z^3} =$
   1. $x^3 + y^3 + z^3$
   2. $x^6 + y^6 + z^6$
   3. $\frac{1}{x^3} + \frac{1}{y^3} +\frac{1}{ z^3}$
   4. $\frac{1}{x^6} + \frac{1}{y^6} +\frac{1}{ z^6}$
7. Constant polynomial is also called
   1. linear polynomial
   2. no degree polynomial
   3. expression
   4. zero degree polynomial
8. Reduced form the expression $\frac{x^2y^3 - y^2x^3 + x^2y^2z}{x - y - z}$ is
   1. $x^2y^2$
   2. not possible
   3. $$\frac{x^2y^2 (x - y -z)}{y - x +z}$$
   4. $-x^2y^2$