Test Details

Maths

1,2,3

Nov 16, 7:00 PM

45 minutes

Nov 16, 7:45 PM

60.0 marks

MCQ

30 questions

Shahid Hussain

Adaptive and blank

Class Details

Science& Maths

Class 10

Science& Maths

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Question Text

Question 1 :
If the polynomial $3x^2-x^3-3x+5$ is divided by another polynomial $x-1-x^2$, the remainder comes out to be $3$, then quotient polynomial is

Question 2 :
Find the zeros of the quadratic polynomial $f(x) = x^2-3x -28$ and verify the relationships between the zeros and the coefficients.

Question 5 :
If one of the zeros of the quadratic polynomial $2x^2 + px + 4$ is 2, find the other zero. Also find the value of p

Question 6 :
The roots of the equation $\displaystyle x^{2}+Ax+B=0$ are 5 and 4. The roots of $\displaystyle x^{2}+Cx+D=0$ are 2 and 9. Which of the following is a root of $\displaystyle x^{2}+Ax+D=0$?

Question 7 :
If $\alpha, \beta$ are the root of quadratic equation $ax^2+bx+c=0$,then $\displaystyle \left ( a\alpha +b \right )^{-3}+\left ( a\beta +b \right )^{-3}=$

Question 8 :
$\alpha $ and $\beta $ are the roots of ${ x }^{ 2 }+2x+C=0$. If ${ \alpha  }^{ 3 }+{ \beta  }^{ 3 }=4$, then the value of $C$ is

Question 9 :
The area of a rectangle is $\displaystyle 12y^{4}+28y^{3}-5y^{2}$. If its length is $\displaystyle 6y^{3}-y^{2}$, then its width is

Question 11 :
 The square of any positive odd integer for some integer $ m$ is of the form

Question 12 :
In a question on division if four times the divisor is added to the dividend then how will the new remainder change in comparison with the original remainder?

Question 14 :
$HCF$ of two or more number may be one of the numbers.

Question 15 :
Say true or false:A positive integer is of the form $3q + 1,$ $q$  being a natural number, then you write its square in any form other than  $3m + 1$, i.e.,$ 3m $ or $3m + 2$  for some integer $m$.

Question 16 :
 One and only one out of  $n, n + 4, n + 8, n + 12\  and \ n + 16 $ is ......(where n is any positive integer)

Question 17 :
If $x=6+2\sqrt {6}$, then what is the value of $\sqrt { x-1 } +\cfrac { 1 }{ \sqrt { x-1 } } $?

Question 18 :
In a division operation the divisor is $5$ times the quotient and twice the remainder. If the remainder is $15,$ then what is the dividend?

Question 19 :
Using the theory that any positive odd integers are of the form $4 q + 1$ or $4 q + 3$ where $q$ is a positive integer. If quotient is $4$, dividend is $19$ what will be the remainder?

Question 20 :
Find the HCF of $92690,7378$ and $7161$ by Euclid's division algorithm.

Question 21 :
Solve the following pair of equations by reducing them to a pair of linear equations:  $\displaystyle \frac {1}{2x}+\frac {1}{3y}=2, \frac {1}{3x}+\frac {1}{2y}=\frac {13}{6}$

Question 22 :
Solve the following simultaneous equations by the method of equating coefficients.$x-2y=-10; \, \, 3x-5y=-12$

Question 23 :
Find the value of x and y using cross multiplication method: $x-  2y = 1$ and $x + 4y = 6$

Question 24 :
The father's age is six times his son's age. Four years hence, the age of the father will be four times his son's age. The present ages, in years, of the son and the father are respectively,

Question 25 :
Solve the following pair of simultaneous equations:$\displaystyle \frac{1}{x}\, +\, \frac{1}{y}\, =\, 5\,;\, \frac{1}{x}\, -\, \frac{1}{y}\, =\, 1$

Question 26 :
Solve : $\displaystyle \frac{3}{x+y}+\displaystyle \frac{2}{x-y}= 2$ and $\displaystyle \frac{9}{x+y}-\displaystyle \frac{4}{x-y}= 1$

Question 27 :
Solve the following pair of equations: $\displaystyle \frac{9}{x}-\displaystyle \frac{4}{y}= 8$, $\displaystyle \frac{13}{x}+\displaystyle \frac{7}{y}=101$

Question 29 :
A piece of cloth costs rupees $75$. If the piece is four meters longer and each meter costs rupees $5$ less, the cost remains unchanged. What is the length of the piece?

Question 30 :
If $(3)^{x + y} = 81$ and $(81)^{x - y} = 3$, then the values of $x$ and $y$ are

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