Quiz about Official Sample Paper Standard Cbse 2022

Question 1

Let $$a$$ and $$b$$ be two positive integers such that $$a=p^3 q^4$$ and $$b=p^2 q^3$$, where $$p$$ and $$q$$ are prime numbers. If $$H C F(a, b)=p^{{m}} {q}^{{n}}$$ and $${LCM}({a}, {b})={p}^{{r}} {q}^{{s}}$$, then $$({m}+{n})({r}+{s})=$$

Accepted Answer

Covalent bond

Answer

$$35$$

Answer

$$15$$

Answer

$$30$$

Answer

$$72$$

Question 2

Let $$p$$ be a prime number. The quadratic equation having its roots as factors of $$p$$ is

Accepted Answer

Covalent bond

Answer

$${x}^2-({p}+1) {x}+{p}=0$$

Answer

$${x}^2-{px}+{p}=0$$

Answer

$${x}^2+(p+1) x+p=0$$

Answer

$$x^2-p x+p+1=0$$

Question 3

If $$\alpha$$ and $$\beta$$ are the zeros of a polynomial $$f(x)=p x^2-2 x+3 p$$ and $$\alpha+\beta=\alpha \beta$$, then $$p$$ is

Accepted Answer

Covalent bond

Answer

$$2 / 3$$

Answer

$$-2 / 3$$

Answer

$$1 / 3$$

Answer

$$-1 / 3$$

Question 4

If the system of equations $$3 {x}+{y}=1$$ and $$(2 {k}-1) {x}+({k}-1) {y}=2 {k}+1$$ is inconsistent, then $${k}=$$

Accepted Answer

Covalent bond

Answer

$$2$$

Answer

$$1$$

Answer

$$0$$

Answer

$$-1$$

Question 5

If the vertices of a parallelogram $$P Q R S$$ taken in order are $${P}(3,4), {Q}(-2,3)$$ and $${R}(-3,-2)$$, then the coordinates of its fourth vertex $${S}$$ are

Accepted Answer

Covalent bond

Answer

$$(2,-1)$$

Answer

$$(-2,-1)$$

Answer

$$(-2,-3)$$

Answer

$$(1,2)$$

Official Sample Paper Standard Cbse 2022 Cbse Class 10 Maths Problems and Solutions

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