Free Printable Quiz-3

1.

If $\sqrt{42-\sqrt{42-\sqrt{42-...\infty}}}=x$ then $x=$ ________.

a)

$x=6\ and\ x=7$

b)

$x=-6\ and\ x=7$

c)

$x=-7\ and\ x=6$

d)

$x=-7\ and\ x=-6$

2.

If $x$ = $\frac{1}{2}$ ,then root of the equation $x+\frac{1}{1+\frac{1}{1+\frac{1}{x}}}$ is ________.

a)

$2-5:6$

b)

$1+1:4$

c)

$\frac{7}{6}$

d)

$\frac{5}{4}$

3.

The value of $0^0$ is same as of $\pi\left(\frac{0}{0}\right)$ .What is the value of the equation then?

(a)

4.

If

$\log_a^a=c$

then for $c=b^N$ ,

$N\ in\log_{ }c\ =?$

a)

0

b)

1

c)

-1

d)

Other

5.

Write how you will solve for x, if

$x-\frac{1}{\left|x-\left(-2\right)\right|}=2-\frac{1}{\left|x+2\right|}$

(a)

6.

$\sqrt{7}$ When the number is squared conclusion is________.

a)

$\sqrt{7}$ $\cdot\ \sqrt{7}$ $=\ \sqrt{7}$

b)

$\sqrt{7}$ $\cdot\ \sqrt{7}$ $=7$

7.

$2\left(\sqrt{\frac{3}{2}+\sqrt{2}}\right)-\left(\frac{3}{2}+\sqrt{2}\right)$ This expression when simplified reduces to

a)

Irrational Number

b)

Whole number which is positive integer

c)

A rational that is not a integer

d)

Negative Recurring Decimal

8.

$\frac{\left(\sqrt{x+2}\right)+\left(\sqrt{2+x}\right)}{\left(\sqrt{2+x}\right)-\left(\sqrt{2-x}\right)}$ Evalute

(a)

9.

$\frac{\sqrt{26-15\sqrt{3}}}{5\sqrt{2}-\sqrt{38+5\sqrt{3}}}$ Simplify.

a)

$\frac{1}{\sqrt{3}}$

b)

$\left(\sqrt{3}\right)^{-1}$

c)

$\sqrt{3}$

d)

$\frac{\left(\sqrt{3}\cdot\sqrt{3}\right)}{3}\times\frac{1}{\sqrt{3}}$

10.

$\sqrt{-\sqrt{3}+\sqrt{3+8\sqrt{7+4\sqrt{3}}}}$

a)

$2$

b)

$-2$

c)

$±2$

d)

$-\sqrt{2}$

e)

$\sqrt{2}$

11.

If $\frac{a}{x-y}=\frac{b}{y-z}=\frac{c}{x-z}$ then $a+b+c\ =m\degree$ Find the value of $\cos\left(m\degree\right)-\sin\left(m\degree\right)-\tan\left(m\degree\right)$

a)

$0$

b)

$1$

c)

$-1$

d)

$\pm1$

12.

Find $x$ if $\sqrt{2\cdot\left(4\right)^{\frac{1}{3}}\sqrt{2\cdot\left(4^{\frac{1}{3}}\right)}\sqrt{2\cdot\left(4^{\frac{1}{3}}\right)\ldots\infty}}=x$

a)

4

b)

6

c)

2

d)

5

13.

$x+z=2y,\ 2z+x=30\ \&\ x+z+2y=3z.$ Then find $x+y+z$

a)

$15$

b)

$\frac{45}{2}$

c)

$30\ :\ \frac{2}{\pi}$

d)

$45$

14.

$36+11\left(z-\frac{y}{3}+x\right)-12\left(z-\frac{y}{3}+x\right)^2+\left(4z-\frac{4y}{3}+4x-9\right)\left(5+3z-y+2x\right)$ Find the Binomial - Polynomial Factor of the expression.

a)

$\left(x+1\right)\left(4z-\frac{4}{3}y+4x-9\right)$

b)

$\left(1-x\right)\left(4z-\frac{4}{3}y+4x-9\right)$

c)

$\left(1+x\right)\left(-9+4x-4z+\frac{4y}{3}\right)$

d)

$\left(x-1\right)\left(4z-\frac{4}{3y}-9+4x\right)$

15.

If sum of the two roots $\left(\alpha,\beta\right)$ of quadratic equation $\left(ax^2+bx+c=0\right)$ is $\sin\theta+\cos\theta$ , then which of the following is true?

a)

$a^2-2ac=2c^2-b^2$

b)

$b^2+c^2=\left(a+c\right)^2$

c)

$\left(-\alpha-\beta\right)^2+\left(\alpha\beta\right)^2=\frac{\left(a+c\right)^2}{a^2}$

d)

$\sin^2\theta+\cos^2\theta+2\sin\theta\cos\theta=1+2\sin\theta\cos\theta$

Quiz-3

Total questions: 15

Worksheet time: 4hrs 45mins

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