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MATHS M.C.Q. [1 Marks Each]

Introduction to Algebra · Rajasthan Board (RBSE) STD 6 (Rajasthan - English Medium). 20 questions.

Questions

M.C.Q. [1 Marks Each]

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20 questions · auto-graded multiple-choice test.

MCQ 11 Mark
Mark the correct alternative in the following question: The product of $x$ and $y$ is decreased by $4$ is written as:
  • A
    $4 - xy$
  • B
    $x(y - 4)$
  • ✓
    $xy - 4$
  • D
    $xy + 4$
Answer
Correct option: C.
$xy - 4$
Since, the product of $x$ and $y = xy$
So, the expression when the product is decreased by $4$ is written as $xy - 4$
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MCQ 21 Mark
Mark the correct alternative in the following question: If the lengths of edges of a cuboid are $2x, 3y$ and $4xy$, then its volume is:
  • A
    $24 x y$
     
  • B
    $9 x^2 y^2$
     
  • ✓
    $24 x^2 y^2$
     
  • D
    $6 x^2 y^2$
Answer
Correct option: C.
$24 x^2 y^2$
 
Volume of the cuboid $= 2x \times 3y \times 4xy$
$= (2 \times 3 \times 4) \times (x \times x) \times (y \times y)$
$= 24 x^2 y^2$
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MCQ 31 Mark
The quotient of $x$ by $2$ is added to $5$ is writen as:
  • ✓
    $\frac{\text{x}}{2}+5$
  • B
    $\frac{2}{\text{x}}+5$
  • C
    $\frac{\text{x}+2}{5}$
  • D
    $\frac{\text{x}}{2+5}$
Answer
Correct option: A.
$\frac{\text{x}}{2}+5$
$\frac{\text{x}}{2}+5$
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MCQ 41 Mark
Mark the correct alternative in the following question: The product of a and b is added to their sum is written as:
  • ✓
    $ab + a + b$
  • B
    $a + b - ab$
  • C
    $a + ab$
  • D
    $b + ab$
Answer
Correct option: A.
$ab + a + b$
As, the sum of a and $b = a + b$
And, the product of a and $b = ab$
So, the expression when the product is added to the sum $= a + b + ab$
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MCQ 51 Mark
Mark the correct alternative in the following question: The initial count of bacteria is $x$ and it becomes $y$ times every day. The total count of bacteria after one week is:
  • A
    $ 7 x y $
  • B
    $ x+7 y $
  • C
    $ x y^7 $
  • ✓
    $ x y^6 $
Answer
Correct option: D.
$ x y^6 $
Since, the total count of the bacteria after one week,
$= x \times y \times y \times y \times y \times y \times y = x \times y^6= x y^6 $
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MCQ 61 Mark
Mark the correct alternative in the following question: $9$ less than a literal $x$ is written as:
  • A
    $9 - x$
  • ✓
    $x - 9$
  • C
    $x + 9$
  • D
    None of these.
Answer
Correct option: B.
$x - 9$
Since, $9$ less than $x$ is written as $x - 9$
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MCQ 71 Mark
$5$ more than twice a number $x$ is written as:
  • A
    $5 + x + 2$
  • ✓
    $2x + 5$
  • C
    $2x - 5$
  • D
    $5x + 2$
Answer
Correct option: B.
$2x + 5$
$2x + 5$
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MCQ 81 Mark
$a^3× 2a^2b × 3ab^5$ is equal to:
  • A
    $ a^6 b^6 $
  • B
    $ 23 a^6 b^6 $
  • ✓
    $ 6 a^6 b^6 $
  • D
    None of these.
Answer
Correct option: C.
$ 6 a^6 b^6 $
$= 2 \times 3a^3\times a^2\times a \times b \times b^5$
$= 6a^{(3+2+1)}b^{(1+5)}$
$= 6 a^6 b^6 $
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MCQ 91 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
    $\frac{\text{xy}+\text{y}}{\text{x}}$
Answer
Correct option: A.
$\frac{\text{x}}{\text{y}}+\text{xy}$
$\frac{\text{x}}{\text{y}}+\text{xy}$
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MCQ 101 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
    $(a + b)(5 + a - b)$
Answer
Correct option: A.
$(a + b)(a + b - 5)$
As, the sum of $a$ and $b = (a + b)$
So, the required expression representing the given statement $= (a + b)(a + b - 5)$
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MCQ 111 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
    $2 x^3$
  • ✓
    $2 x^4$
  • C
    $x^4 $
  • D
    $\frac{x^4}{2}$
Answer
Correct option: B.
$2 x^4$
Total number of chairs in the room $=$ Number of rows $\times$ Number of chairs in each row,
$= x^2\times 2x^2= 2x^4$
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MCQ 121 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:
  • A
    $xy$
  • B
    $xy^2$
  • ✓
    $x^2y$
  • D
    None of these.
Answer
Correct 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
$= xy \times x$
$=x^2y$
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MCQ 131 Mark
If $2x^2y$ and $3xy^2$ denote the length and breadth of $a$ rectangle, the its area is:
  • A
    $ 6 x y $
  • B
    $ 6 x^2 y^2 $
  • ✓
    $ 6 x^3 y^3 $
  • D
    $ x^3 y^3 $
Answer
Correct option: C.
$ 6 x^3 y^3 $
Area of the rectangle $=$ Length $\times $ Breadth,
$= 2x^2y \times 3xy^2$
$= 6 x^3 y^3 $
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MCQ 141 Mark
$a^2b^3× 2ab^2$ is equal to:
  • A
    $ 2 a^3 b^4 $
  • ✓
    $ 2 a^3 b^5 $
  • C
    $ 2 a b $
  • D
    $ a^3 b^5 $
Answer
Correct option: B.
$ 2 a^3 b^5 $
$ a^2 b^3 \times 2 a b^2 $
$ =2 a^2 \times a \times b^3 \times b^2 $
$ =2 a^3 b^5 $
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MCQ 151 Mark
Mark the correct alternative in the following question: Thrice $x$ added to $y$ squared is written as:
  • A
    $ 3 x y^2 $
  • B
    $ x^2+y $
  • C
    $ x+y^2 $
  • ✓
    $ 3 x+y^2 $
Answer
Correct option: D.
$ 3 x+y^2 $
As, thrice of $x = 3x$
And, the square of $y = y^2$
So, the sum of the thrice of $x$ and square of $y = 3 x+y^2 $
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MCQ 161 Mark
Mark the correct alternative in the following question : $x^2 \times 2 y^3 \times 5 x^3 y^2$ is equal to:
  • A
    $10 x^2 y^5$
  • B
    $10 x^5 y^2$
  • ✓
    $10 x^5 y^5$
  • D
    $x^5 y^5$
Answer
Correct option: C.
$10 x^5 y^5$
$ x^2 \times 2 y^3 \times 5 x^3 y^2 $
$ =(2 \times 5) \times\left(x^2 \times x^3\right) \times\left(y^3 \times y^2\right) $
$ =10 \times x^{2+3} \times y^{3+2} $
$ =10 x^5 y^5$
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MCQ 171 Mark
$4 a^2 b^3 \times 3 a b^2 \times 5 a^3 b$ is equal to:
  • A
    $60 a^3 b^5$
  • B
    $60 a^6 b^5$
  • ✓
    $60 a^6 b^6$
  • D
    $a^6 b^6$
Answer
Correct option: C.
$60 a^6 b^6$
$ 4 a^2 b^3 \times 3 a b^2 \times 5 a^3 b $
$ =4 \times 3 \times 5 \times a 2 \times a \times a^3 \times b^3 \times b^2 \times b$
$ =60 a^6 b^6$
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MCQ 181 Mark
$9$ taken away from the sum of $x$ and $y$ is:
  • ✓
    $\text{x}+\text{y}-9$
  • B
    $9-(\text{x}+\text{y})$
  • C
    $\frac{\text{x}+\text{y}}{9}$
  • D
    $\frac{9}{\text{x}+\text{y}}$
Answer
Correct option: A.
$\text{x}+\text{y}-9$
$\text{x}+\text{y}-9$
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MCQ 191 Mark
Mark the correct alternative in the following question : $2 x^2 \times 3 x y^2 \times 4 x^3 y^5$ is equal to:
  • A
    $24 x^6 y^6$
     
  • ✓
    $24 x^6 y^7$

     
  • C
    $24 x^7 y^6$
  • D
    $24 x^7 y^7$
Answer
Correct option: B.
$24 x^6 y^7$

 
$ 2 x^2 \times 3 x y^2 \times 4 x^3 y^5$
$ =(2 \times 3 \times 4) \times\left(x^2 \times x \times x^3\right) \times\left(y^2 \times y^5\right) $
$ =24 x^6 y^7$
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MCQ 201 Mark
The quotient of $x$ by $3$ is multiplied by $y$ is written as:
  • A
    $\frac{\text{x}}{3\text{y}}$
  • B
    $\frac{3\text{x}}{\text{y}}$
  • C
    $\frac{3\text{y}}{\text{x}}$
  • ✓
    $\frac{\text{xy}}{3}$
Answer
Correct option: D.
$\frac{\text{xy}}{3}$
$\frac{\text{x}}{3}\times\text{y}=\frac{\text{xy}}{3}$
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