S.chand Class 8 Maths Solution Chapter 5 Algebraic Expressions and Special Products Exercise 5 D

 Exercise 5 D

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Q1 | Ex-5D | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 1

Divide

(i) $x^{5} \div x^{3}$

(ii) $y^{7} \div y^{3}$

(iii) $a^{9} \div a^{4}$

(iv) $x^{3} \div x$

(v) $a^{3} b^{4} \div a^{2} b$

(vi) $a^{3} b^{7} \div a^{4} b^{6}$

(vii) $-54 x^{4} y^{5} \div 6 x^{2} y^{3}$

(viii) $84 a^{2} b^{5} \div 12 a^{2} b^{2}$

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Q2 | Ex-5D | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 2

Divide :

(i) $8 x+4$ by 2

(ii) $6 y-3$ by 3

(iii) $12 y^{2}+36$ by $-4$

(iv) $-40 x-30$ by $-10$

(v) $3 b-3$ by $-3$

(vi) $x^{3}-x^{2}$ by $x$

(vii) $5 c^{2}-c$ by $-c$

(viii) $10 a^{3}+12 a b$ by $2 a$

(ix) $9 x^{2} y^{2}+3 x^{2} y-6 x y^{2}$ by $3 x y$

(x) $6 a^{2} b^{2}-3 a b c+9 a b d$ by $-\frac{1}{3} a b$

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Q3 | Ex-5D | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 3

Multiple Choice Questions (MCQs)

If $-15 m n^{4} p^{2}$ is divided by $\frac{1}{6} m^{4} n^{4} p^{2}$. The quotient is

(a) $\frac{-5}{3 m^{3}}$

(b) $\frac{-90 n^{8} p^{4}}{m^{3}}$

(c) $\frac{-90}{m^{3}}$

(d) $-90 m^{3}$

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Q4 | Ex-5D | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 4

$\frac{-7 x^{7} y^{3}}{x^{7}}-\frac{56 x y^{5} z^{2}}{-8 x y^{2} z^{2}}$ equals

(a) $-15 y^{3}$

(b) $15 y^{3}$

(c) 0

(d) $y^{3}$

High Order Thinking Skills (HOTS)

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Q5 | Ex-5D | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 5

In which of the following division problems, the quotient is not a polynomial.

(a) $x^{4} y-2 x^{3} y^{2}+x^{5} y^{5}$ by $x^{2} y$

(b) $-10 x^{3} y^{2}+15 x^{2} y^{3}-5 x^{2} y^{2}$ by $\frac{-5}{2} x^{2} y^{2}$

(c) $4 x^{2} y-7 x y^{2}-y^{2}$ by $-x^{2} y^{2}$