MCQ 511 Mark
If each match box contains $50$ matchsticks, the number of matchsticks required to fill n such boxes is:
- A
$50 + n$
- ✓
$50n$
- C
$50 ÷ n$
- D
$50 - n$
AnswerGiven, each matchbox contains $50$ matchsticks.
Then, total number of matchsticks in n boxes = Matchsticks in one box $\times $ Total boxes
$= 50 \times n = 50n$
Hence, $(b)$ is correct option.
View full question & answer→MCQ 521 Mark
What is the output of $x^2 + 3x + 5,$ where x(variable) $= 2?$
Answer$x^2 + 3x + 5$
$= (2)^2 + 3 × 2 + 5$
$= 4 + 6 + 5$
$= 15$
View full question & answer→MCQ 531 Mark
5 more than twice a number $x$ is written as:
- A
$5 + x + 2$
- ✓
$2x + 5$
- C
$2x - 5$
- D
$5x + 2$
AnswerCorrect option: B. $2x + 5$
$2x + 5$
View full question & answer→MCQ 541 Mark
$\frac{\text{q}}{2}=3$ has a solution:
AnswerGiven equation is $\frac{\text{q}}{2}=3$
$\Rightarrow\frac{\text{q}}{2}\times2=3\times2$
$\Rightarrow\text{q}=6$
Hence, $(a)$ is correct option.
View full question & answer→MCQ 551 Mark
Number of matchsticks required to make a pattern of $“U”$
View full question & answer→MCQ 561 Mark
The rule, which gives the number of matchsticks required to make the matchstick pattern $E$. is.
View full question & answer→MCQ 571 Mark
The rule, which gives the number of matchsticks required to make the matchstick pattern $A$, is
View full question & answer→MCQ 581 Mark
The constant term in expression
$5xy - 4x + 8$ is
AnswerIn $5xy - 4x + 8$
$\therefore$ The constant term is $= +8.$
View full question & answer→MCQ 591 Mark
$n^2 - n + 1$ is an odd number for all
- A
$\text{n}>1$
- B
$\text{n}>5$
- ✓
$\text{n}\geq 1$
- D
$\text{n}\geq5$
AnswerCorrect option: C. $\text{n}\geq 1$
For $n = 1$ we have $n^2 - n + 1 = 1^2 - 1 + 1 = 1$ which is an odd number
For $n = 2$ we have $n^2 - n + 1 = 2^2 - 2 + 1 = 3$ which is an odd number
For $n = 3$ we have $n^2 - n + 1 = 3^2 - 3 + 1 = 7$ which is an odd number
View full question & answer→MCQ 601 Mark
$a^3 × 2a^2b × 3ab^5$ is equal to:
- A
$a^6b^6$
- B
$23a^6b^6$
- ✓
$6a^6b^6$
- D
AnswerCorrect option: C. $6a^6b^6$
$= 2 × 3a^3 × a^2 × a × b × b^5$
$= 6a^(3 + 2 + 1)b^(1 + 5)$
$= 6a^6b^6$
View full question & answer→MCQ 611 Mark
The rule, which gives the number of matchsticks required to make the matchstick pattern $L,$ is.
View full question & answer→MCQ 621 Mark
If $x = 2, y = 3,$ then $x^x + y^y$ is equal to
AnswerGiven $x = 2, y = 3x^x + y^y$
$= 2^2 + 3^3 = 4 + 27 = 31$
View full question & answer→MCQ 631 Mark
Solve: $r + 5 = 5$
View full question & answer→MCQ 641 Mark
The quotient of $x$ by $y$ added ot the product of $x$ and $y$ is written as:
- ✓
$\frac{\text{x}}{\text{y}}+\text{xy}$
- B
$\frac{\text{y}}{\text{x}}+\text{xy}$
- C
$\frac{\text{xy}+\text{y}}{\text{y}}$
- D
$\frac{\text{xy}+\text{y}}{\text{x}}$
AnswerCorrect option: A. $\frac{\text{x}}{\text{y}}+\text{xy}$
$\frac{\text{x}}{\text{y}}+\text{xy}$
View full question & answer→MCQ 651 Mark
The expression for $‘p$ multiplied by $2’$ is.
AnswerCorrect option: D. $2\text{p}$
$2\text{p}$
View full question & answer→MCQ 661 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{1}{3}(\text{x}+7+\text{z})$ is a:
AnswerSince it contains three variables, i.e. $x, y$ and $z$, it is a trinomial.
View full question & answer→MCQ 671 Mark
Mark the correct alternative in the following question:
The sum of $a$ and $b$ is multiplied by taking away $5$ from their sum. The expression representing the statement is:
- ✓
$(a + b)(a + b - 5)$
- B
$(a + b)(5 - a - b)$
- C
$(a + b)(5 - a + b)$
- D
$(a + b)(5 + a - b)$
AnswerCorrect option: A. $(a + b)(a + b - 5)$
As, the sum of $a$ and $b = (a + b)$
So, the required expression representing the given statement $= (a + b)(a + b - 5)$
View full question & answer→MCQ 681 Mark
The output of $z^3 + 2z^2 + 5z + 1,$ where $z = 0$
Answer$z^3 + 2z^2 + 5z + 1$
$= (0) + 2 × (0)2 + 5 × (0) + 1$
$= 1$
View full question & answer→MCQ 691 Mark
Which of the following represents $6 \times x$
- ✓
$6x$
- B
$\frac{\text{x}}{6}$
- C
$6 + x$
- D
$6 - x$
AnswerGiven that, $6 × b = 6b$
Hence, $(a)$ is correct option.
Note: In algebra multiplication, sign does not show in the product (result).
View full question & answer→MCQ 701 Mark
Mark $(\checkmark)$ against the correct answer in the following:
If $x = 1, y = 2$ and $z = 3$ then $(x^2 + y^2 + z^2) = ?$
AnswerSubstituting $x = 1, y = 2$ and $z = 3$ in $(x^2 + y^2 + z^2):$
$\Rightarrow (1)^2 + (2)^2 + (3)^2$
$\Rightarrow 1 + 4 + 9 = 14$
View full question & answer→MCQ 711 Mark
Classify the following polynomial as polynomial in one variable, two variables etc. $y^3- 5y$
- ✓
Polynomial in one variable
- B
Polynomial in two variables
- C
Polynomial in three variables
- D
Polynomial in four variables
AnswerCorrect option: A. Polynomial in one variable
Polynomial in one variable
Polynomial hasonly $1$ variable y in the equation.
View full question & answer→MCQ 721 Mark
- ✓
A symbol having a fixed numerical value
- B
A variable that takes a fixed value
- C
A symbol that can takes different values
- D
AnswerCorrect option: A. A symbol having a fixed numerical value
A constant is a symbol having a fixed numerical value.
View full question & answer→MCQ 731 Mark
The expression for $‘2$ times $x$ from which $1$ is subtracted’ is.
- A
$2x + 1$
- B
$x - 2$
- C
$x + 2$
- ✓
$2x - 1$
AnswerCorrect option: D. $2x - 1$
$2x - 1$
View full question & answer→MCQ 741 Mark
If the perimeter of a regular hexagon is $x$ metres, then the length of each of its sides is:
- A
$(x + 6)$ metres.
- ✓
$(x ÷ 6)$ metres.
- C
$(x - 6)$ metres.
- D
$(6 ÷ x)$ metres.
AnswerCorrect option: B. $(x ÷ 6)$ metres.
Given, perimeter of regular hexagon is $x$ metres, Number of sides in regular hexagan $= 6$
Length of each sides
$=\frac{\text{Perimeter of regular hexagon}}{\text{Number of sides in hexagon}}$
$=\frac{\text{x}}{6}\text{metres}$
Hence, $(b)$ is correct option.
View full question & answer→MCQ 751 Mark
Classify the following polynomial as polynomial in one variable, two variables etc. $x^2 + x + 1$
- ✓
Polynomial in one variable
- B
Polynomial in two variables
- C
- D
AnswerCorrect option: A. Polynomial in one variable
Polynomial hasonly $1$ variable $x$ in the equation.
View full question & answer→MCQ 761 Mark
What is the value of the constant term in the expression, $23x^3+ 12x^2- 6x - 12?$
AnswerThe constant term in an expression or equation has a fixed value and does not contain variables.
So, $-12$ is the constant term in the expression, $23x^3+ 12x^2- 6x - 12?$
View full question & answer→MCQ 771 Mark
Amulya is $x$ years of age now. $5$ years ago her age was:
- A
$(5 - x)$ years.
- B
$(5 + x)$ years.
- ✓
$(x - 5)$ years.
- D
$(5 ÷ x)$ years.
AnswerCorrect option: C. $(x - 5)$ years.
Given, Amulya’s present age $= x$
$5$ years ago, Amulya’s age $= (x - 5)$ years
Hence, $(c)$ is correct option.
View full question & answer→MCQ 781 Mark
Which of the following is not an expression with numbers only?
AnswerCorrect option: D. $2x + 1$
$2x + 1$
View full question & answer→MCQ 791 Mark
I think of a number and on adding $13$ to it, I get $27$. The equation for this is:
- ✓
$x - 27 = 13$
- B
$x - 13 = 27$
- C
$x + 27 = 13$
- D
$x + 13 = 27$
AnswerCorrect option: A. $x - 27 = 13$
Let the number be $x$.
According to the question,$x + 13 = 27$
Hence, $(d)$ is correct option.
View full question & answer→MCQ 801 Mark
The side of a regular hexagon is l. Its perimeter is.
MCQ 811 Mark
Which of the following is correct?
- A
Constant can vary in a polynomial
- B
Constant may or may not vary in polynomial
- ✓
Constant cannot change in a polynomial
- D
AnswerCorrect option: C. Constant cannot change in a polynomial
For a particular polynomial, its constant cannot change otherwise polynomial will change.
View full question & answer→MCQ 821 Mark
What do literals usually represent?
MCQ 831 Mark
How many variables are there in the algebraic expression $ax^2+ bxy + cy^2$ where $a, b, c$ are constants?
AnswerThe variables used are $x$ and $y.$
View full question & answer→MCQ 841 Mark
In a room there are $x^2$ rows of chairs and each two contains $2x^2$ chairs. The total number of chairs in the room is:
- A
$2\text{x}^3$
- ✓
$2\text{x}^4$
- C
$\text{x}^4 $
- D
$\frac{\text{x}^4}{2}$
AnswerCorrect option: B. $2\text{x}^4$
Total number of chairs in the room = Number of rows $\times $ Number of chairs in each row,
$= x^2 × 2x^2 = 2x^4$
View full question & answer→MCQ 851 Mark
If $\frac{2+3}{\text{x}}=\frac{2+\text{x}}{3}$
What one value for $x$ can be correctly entered into the answer grid?
AnswerGiven, $\frac{2+3}{\text{x}}=\frac{2+\text{x}}{3}$
$\Rightarrow 2x + x^2 = 15$
$\Rightarrow x^2 + 2x - 15 = 0$
$\Rightarrow x^2+ 5x - 3x - 15 = 0$
$\Rightarrow x(x + 5) - 3(x + 5) = 0$
$\Rightarrow (x + 5) (x - 3) = 0$
$\Rightarrow x = -5, 3$ value of $x$ is not negative, so $x = 3.$
View full question & answer→MCQ 861 Mark
The perimeter of the triangle shown in Fig. is:
- ✓
$2x + y$
- B
$x + 2y$
- C
$x + y$
- D
$2x - y$
AnswerCorrect option: A. $2x + y$
We know that, perimeter of the triangle = Sum of all sides of triangle
Here, sides are $x, x$ and $y$.
Perimeter of the triangle $= x + x + y = 2x + y$
Hence, $(a)$ is correct option.
View full question & answer→MCQ 871 Mark
Which of the following equations has $x = 2$ as a solution?
- A
$x + 2 = 5$
- ✓
$x - 2 = 0$
- C
$2x + 1 = 0$
- D
$x + 3 = 6$
AnswerCorrect option: B. $x - 2 = 0$
To get solution as $x = 2$, solve each equation.
For option $(a),$
$x + 2 = 5$
$\Rightarrow x = 5 - 2$ [transposing $+2$ to $RHS$]
$\Rightarrow x = 3$
For option $(b)$,
$x - 2 = 0$
$\Rightarrow x = 2$ [transposing $-2$ to $RHS$]
For option $(c)$,
$2x + 1 = 0$
$2x = -1$ [transposing $+1$ to $RHS$]
$\Rightarrow\frac{2\text{x}}{2}=\frac{-1}{2}$ [dividing both sides by $2$]
$\Rightarrow\text{x}=\frac{-1}{2}$
For option $(d)$,
$\Rightarrow x + 3 = 6$
$\Rightarrow x = 6 - 3$ [transposing $+3$ to $RHS$]
$\Rightarrow x = 3$
Therefore, we get $x = 2$ as a solution in option $(b)$ only.
Hence, $(b)$ is correct option.
View full question & answer→MCQ 881 Mark
Solve: $3z = 9$
Answer$3\text{z} = 9 $
$\Rightarrow \text{z} =\big(\frac { 9 }{ 3 }\big) = 3$
View full question & answer→MCQ 891 Mark
Mark the correct alternative in the following question:
The length of a rectangle is $y$ times its breadth $x.$ The area of the rectangle is:
AnswerCorrect option: C. $x^2y$
We have,
Breadth of the rectangle $= x$ and
Length of the rectangle $= y \times x = xy$
Now,
The area of the rectangle = Length $\times $ Breadth
$= xy \times x$
$= x^2y$
View full question & answer→MCQ 901 Mark
Write an equation for the statement 'thrice the length of a room is $340$ metres'.
- A
$3l = 430$
- ✓
$3l = 340$
- C
$3 + l = 340$
- D
$340 - 3l$
AnswerCorrect option: B. $3l = 340$
$3l = 340$
View full question & answer→MCQ 911 Mark
Consider the polynomial $\frac{\text{x}^3+2\text{x}+1}{5}-\frac{7}{2}\text{x}^2-\text{x}^6$ The constant term is:
- A
$\frac{1}{7}$
- ✓
$\frac{1}{5}$
- C
$\frac{1}{2}$
- D
$\frac{1}{3}$
AnswerCorrect option: B. $\frac{1}{5}$
$\frac{\text{x}^3+2\text{x}+1}{5}-\frac{7}{2}\text{x}^2-\text{x}^6$
$=\frac{\text{x}^3+2\text{x}+1}{5}-\frac{7}{2}\text{x}^2-\text{x}^6$
$=-\text{x}^6+\frac{\text{x}^3}{5}-\frac{7\text{x}^2}{2}+\frac{\text{2x}}{5}+\frac{1}{5}$
So, the constant term $=\frac{1}{5}$
View full question & answer→MCQ 921 Mark
In algebra, letters may stand for:
AnswerIn algebra, letters may stand for unknown quantities.
Hence, $(b)$ is correct option.
View full question & answer→MCQ 931 Mark
Savitri has a sum of $Rs\ x$. She spent $Rs\ 1000$ on grocery, $Rs\ 500$ on clothes and $Rs\ 400$ on education, and received $Rs\ 200$ as a gift. How much money (in $Rs$) is left with her?
- ✓
$x - 1700$
- B
$x - 1900$
- C
$x + 200$
- D
$x - 2100$
AnswerCorrect option: A. $x - 1700$
Given,
Savitri has total money $= Rs. x$
Spent on grocery $= Rs. 1000$
Spent on clothes $= Rs. 500$
Spent on education $= Rs. 400$
Received as a gift $= Rs. 200$
Then, money left with her $= Rs. {x - [1000 + 500 + 400 - 200]}$
$= Rs.{x - [1900 - 200]}$
$= Rs.{x - 1700}$
Hence, $(a)$ is correct option.
View full question & answer→MCQ 941 Mark
The output of $z^3 + 2z^2 + 5z + 1$ where $z = 1,$ is
AnswerGiven equation is $z^3 + 2z^2 + 5z + 1$ Put $z = 1,$
we get $z^3 + 2z^2 +5z + 1$
$=1^3 + 2 \times 1^2 + 5 \times 1 + 1 $
$= 1 + 2 + 5 + 1$
$= 9$
View full question & answer→MCQ 951 Mark
Determine the constant in the equation $3x^2 + 5y^2 = 7?$
AnswerHere, the constant in the given equation is $7$ as it contains no variable.
View full question & answer→MCQ 961 Mark
The length of an edge of a cube is $l$. The total length of its edges is.
View full question & answer→MCQ 971 Mark
The expression for $‘x$ is divided by $-2$ and the result is added to $1’$ is.
- A
$-1-\big(\frac{\text{x}}{2}\big)$
- ✓
$1-\big(\frac{\text{x}}{2}\big)$
- C
$1+\big(\frac{\text{x}}{2}\big)$
- D
$\big(\frac{\text{x}}{2}\big)-1$
AnswerCorrect option: B. $1-\big(\frac{\text{x}}{2}\big)$
$1-\big(\frac{\text{x}}{2}\big)$
View full question & answer→MCQ 981 Mark
$-6$ is the ______ in $q(y) = y^3 - 3y^2 - 6 + y$
AnswerThe constant term in an expression or equation has a fixed value and does not contain variables.
So, $-6$ is the constant term in $q(y) = y^3 - 3y^2 - 6 + y$
View full question & answer→MCQ 991 Mark
How many variables are there in the expression $5x^3 + 25xy?$
AnswerThe variables are $x$ and $y.$ Number of variables $= 2$
View full question & answer→MCQ 1001 Mark
The radius of a circle is r. Its diameter is.