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Maths MCQ

Introduction to Algebra · Maharashtra Board STD 6 (MSBSHSE - English Medium). 20 questions.

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MCQ

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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
    $24xy$
     
  • B
    $9x^2y^2$
     
  • ✓
    $24x^2y^2$
     
  • D
    $6x^2y^2$
Answer
Correct option: C.
$24x^2y^2$
 
Volume of the cuboid $= 2x \times 3y \times 4xy$
$= (2 \times 3 \times 4) \times (x \times x) \times (y \times y)$
$= 24x^2y^2$
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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
    $7xy$
     
  • B
    $x + 7y$
     
  • C
    $xy^7$
     
  • ✓
    $xy^6$
Answer
Correct option: D.
$xy^6$
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 $
$= xy^6$
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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
$a^3 \times 2a^2b \times 3ab^5$ is equal to:
  • A
    $a^6b^6$
     
  • B
    $23a^6b^6$
     
  • ✓
    $6a^6b^6$
     
  • D
    None of these.
Answer
Correct option: C.
$6a^6b^6$
 
$= 2 \times 3a^3 \times a^2 \times a \times b \times b^5$
$= 6a^{(3 + 2 + 1)}b^{(1 + 5)}$
$= 6a^6b^6$
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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
    $2\text{x}^3$
     
  • ✓
    $2\text{x}^4$
     
  • C
    $\text{x}^4 $
     
  • D
    $\frac{\text{x}^4}{2}$
Answer
Correct 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 \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
    $6xy$
  • B
    $6x^2y^2$
  • ✓
    $6x^3y^3$
  • D
    $x^3y^3$
Answer
Correct option: C.
$6x^3y^3$
Area of the rectangle $=$ Length $\times$ Breadth,
$= 2x^2y \times 3xy^2$
$= 6x^3y^3$
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MCQ 141 Mark
$a^2b^3 \times 2ab^2$ is equal to:
  • A
    $2a^3b^4$
     
  • ✓
    $2a^3b^5$
     
  • C
    $2ab$
     
  • D
    $a^3b^5$
Answer
Correct option: B.
$2a^3b^5$
 
$a^2b^3 \times 2ab^2$
$= 2a^2 \times a \times b^3 \times b^2$
$= 2a^3b^5$
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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
    $3xy^2$
     
  • B
    $x^2 + y$
     
  • C
    $x + y^2$
     
  • ✓
    $3x + y^2$
Answer
Correct option: D.
$3x + y^2$
As, thrice of $x = 3x$
And, the square of $y = y^2$
So, the sum of the thrice of $x $ and square of $y = 3x + y^2$​​​​​​​
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MCQ 161 Mark
Mark the correct alternative in the following question: $x^2 \times 2y^3 \times 5x^3y^2$ is equal to:
  • A
    $10x^2y^5$
     
  • B
    $10x^5y^2$
     
  • ✓
    $10x^5y^5$
     
  • D
    $x^5y^5$
Answer
Correct option: C.
$10x^5y^5$
 
$x^2 \times 2y^3 \times 5x^3y^2$
$= (2 \times 5) \times (x^2 \times x^3) \times (y^3 \times y^2)$
$= 10 \times x^{2 + 3} \times y^{3 + 2}$
$= 10x^5y^5$
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MCQ 171 Mark
$4a^2b^3 \times 3ab^2 \times 5a^3b$ is equal to:
  • A
    $60a^3b^5$
     
  • B
    $60a^6b^5$
     
  • ✓
    $60a^6b^6$
     
  • D
    $a^6b^6$
Answer
Correct option: C.
$60a^6b^6$
 
$4a^2b^3 \times 3ab^2 \times 5a^3b$
$= 4 \times 3 \times 5 \times a2 \times a \times a^3 \times b^3 \times b^2 \times b$
$= 60a^6b^6$
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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: $2x^2 \times 3xy^2 \times 4x^3y^5$ is equal to:
  • A
    $24x^6y^6$
     
  • ✓
    $24x^6y^7$
     
  • C
    $24x^7y^6$
     
  • D
    $24x^7y^7$
Answer
Correct option: B.
$24x^6y^7$
 
$2x^2 \times 3xy^2 \times 4x^3y^5$
$= (2 \times 3 \times 4) \times (x^2 \times x \times x^3) \times (y^2 \times y^5)$
$= 24x^6y^7$
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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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