Test Details

Number System

UNIT-1

Nov 09, 7:00 PM

40 minutes

Nov 09, 7:40 PM

70.0 marks

MCQ

30 questions

Sunil Kumar

Sunil Kumar has a M.Sc. in Chemistry from MDU campus Rohtak and 13 years of teaching experience in chemistry.Over the course of his career several students taught by him were able to secure full marks in chemistry in CBSE board, NEET and IIT examination.

Class Details

Biology

History

Geography

Political Science

Economics

Maths

Physics

Chemistry

Hindi

English Grammar

English Literature

Class-10

Biology

History

Geography

Political Science

Economics

Maths

Physics

Chemistry

Hindi

English Grammar

English Literature

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Question Text

Question 2 :
If $\alpha$ and $\beta$ are the roots of the equation $x^{2} - x - 1 = 0$, then what is the value of $(\alpha^{4} + \beta^{4})$?

Question 5 :
Find, whether each of the followings is a terminating or a non-terminating decimal.$7 \div 11$.

Question 8 :
What is the area of the rectangle , whose length is $5\sqrt 3\ cm$ and breadth is $5\ cm$.

Question 12 :
Choose the correct answer from the given four options: $(-2)^3 \times (-3)^2$ is equal to

Question 16 :
Simplify the following using law of exponents for $a=2, x=1,y=1,z=1$ $a^x\times a^y\times a^z$

Question 17 :
State whether the following statement is true (T) or false (F): The value of the expression $2^9 \times 2^{91} - 2^{19} \times 2^{81}$ is $1$.

Question 18 :
If $t = \dfrac{1}{1 - \sqrt[4]{2}}$, then $t$ is equal to ________.

Question 21 :
The fraction $\displaystyle \frac{2(\sqrt{2} + \sqrt{6})}{3 (\sqrt{2+ \sqrt{3}})}$ is equal to _________

Question 23 :
Find the square root of $x^{4} - 2x^{3} + 3x^{2} - 2x + 1$ using the division method

Question 25 :
State whether the following statement is True or False The conjugate of $\sqrt {3} + \sqrt {2}$ is $\sqrt {2} - \sqrt {3}$

Question 26 :
A computer is programmed to add $3$ to the number $N$, multiply the result by $3$, subtract $3$, and divide this result by $3$. The computer answer will be

Question 28 :
What is the value of $a$ and $b$, if $\sqrt{25x^2+50x^3+35x^2+ax+b}$ is a perfect square?

Question 29 :
If $\cfrac { \sqrt { 7 } -1 }{ \sqrt { 7 } +1 } -\cfrac { \sqrt { 7 } +1 }{ \sqrt { 7 } -1 } =a+b\sqrt { 7 } $, then find the values of $a$ and $b$

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