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# Introduction to Algebra - Objective Type Questions Class 6 Notes | EduRev

## Class 6 : Introduction to Algebra - Objective Type Questions Class 6 Notes | EduRev

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Objective Type Questions                                                  PAGE: 8.13
Mark the correct alternative in each of the following:

1. 5 more than twice a number x is written as
(a) 5 + x + 2
(b) 2x + 5
(c) 2x - 5
(d) 5x + 2
Solution:

The option (b) is correct answer.
5 more than twice a number x is written as 2x + 5.

2. The quotient of x by 2 is added to 5 is written as
(a) x/2 + 5
(b) 2/x+5
(c) (x+2)/ 5
(d) x/ (2+5)
Solution:

The option (a) is correct answer.
The quotient of x by 2 is added to 5 is written as x/2 + 5.

3. The quotient of x by 3 is multiplied by y is written as
(a) x/3y
(b) 3x/y
(c) 3y/x
(d) xy/3
Solution:

The option (d) is correct answer.
It can be written as
x/3 × y = xy/3

4. 9 taken away from the sum of x and y is
(a) x + y - 9
(b) 9 - (x+y)
(c) x+y/ 9
(d) 9/ x+y
Solution:

The option (a) is correct answer.
9 taken away from the sum of x and y is x + y – 9.

5. The quotient of x by y added to the product of x and y is written as
(a) x/y + xy
(b) y/x + xy
(c) xy+x/ y
(d) xy+y/ x
Page 2

Objective Type Questions                                                  PAGE: 8.13
Mark the correct alternative in each of the following:

1. 5 more than twice a number x is written as
(a) 5 + x + 2
(b) 2x + 5
(c) 2x - 5
(d) 5x + 2
Solution:

The option (b) is correct answer.
5 more than twice a number x is written as 2x + 5.

2. The quotient of x by 2 is added to 5 is written as
(a) x/2 + 5
(b) 2/x+5
(c) (x+2)/ 5
(d) x/ (2+5)
Solution:

The option (a) is correct answer.
The quotient of x by 2 is added to 5 is written as x/2 + 5.

3. The quotient of x by 3 is multiplied by y is written as
(a) x/3y
(b) 3x/y
(c) 3y/x
(d) xy/3
Solution:

The option (d) is correct answer.
It can be written as
x/3 × y = xy/3

4. 9 taken away from the sum of x and y is
(a) x + y - 9
(b) 9 - (x+y)
(c) x+y/ 9
(d) 9/ x+y
Solution:

The option (a) is correct answer.
9 taken away from the sum of x and y is x + y – 9.

5. The quotient of x by y added to the product of x and y is written as
(a) x/y + xy
(b) y/x + xy
(c) xy+x/ y
(d) xy+y/ x

Solution:
The option (a) is correct answer.
The quotient of x by y added to the product of x and y is written as x/y + xy.

6. a
2
b
3
× 2ab
2
is equal to
(a) 2a
3
b
4

(b) 2a
3
b
5

(c) 2ab
(d) a
3
b
5

Solution:

The option (b) is correct answer.
It can be written as
a
2
b
3
× 2ab
2
= 2a
2
× a × b
3
× b
2
= 2a
3
b
5
.

7. 4a
2
b
3
× 3ab
2
× 5a
3
b is equal to
(a) 60a
3
b
5

(b) 60a
6
b
5

(c) 60a
6
b
6

(d) a
6
b
6

Solution:

The option (c) is correct answer.
It can be written as
4a
2
b
3
× 3ab
2
× 5a
3
b = 4 × 3 × 5 × a
2
× a × a
3
× b
3
× b
2
× b = 60a
6
b
6

8. If 2x
2
y and 3xy
2
denote the length and breadth of a rectangle, then its area is
(a) 6xy
(b) 6x
2
y
2

(c) 6x
3
y
3

(d) x
3
y
3

Solution:

The option (c) is correct answer.
We know that area of a rectangle = length × breadth
By substituting the values
Area = 2x
2
y × 3xy
2
= 6x
3
y
3

9. 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) 2x
3

(b) 2x
4

(c) x
4

(d) x
4
/2
Solution:

The option (b) is correct answer.
We know that
Total number of chairs in the room = Number of rows × Number of chairs
By substituting the values
Page 3

Objective Type Questions                                                  PAGE: 8.13
Mark the correct alternative in each of the following:

1. 5 more than twice a number x is written as
(a) 5 + x + 2
(b) 2x + 5
(c) 2x - 5
(d) 5x + 2
Solution:

The option (b) is correct answer.
5 more than twice a number x is written as 2x + 5.

2. The quotient of x by 2 is added to 5 is written as
(a) x/2 + 5
(b) 2/x+5
(c) (x+2)/ 5
(d) x/ (2+5)
Solution:

The option (a) is correct answer.
The quotient of x by 2 is added to 5 is written as x/2 + 5.

3. The quotient of x by 3 is multiplied by y is written as
(a) x/3y
(b) 3x/y
(c) 3y/x
(d) xy/3
Solution:

The option (d) is correct answer.
It can be written as
x/3 × y = xy/3

4. 9 taken away from the sum of x and y is
(a) x + y - 9
(b) 9 - (x+y)
(c) x+y/ 9
(d) 9/ x+y
Solution:

The option (a) is correct answer.
9 taken away from the sum of x and y is x + y – 9.

5. The quotient of x by y added to the product of x and y is written as
(a) x/y + xy
(b) y/x + xy
(c) xy+x/ y
(d) xy+y/ x

Solution:
The option (a) is correct answer.
The quotient of x by y added to the product of x and y is written as x/y + xy.

6. a
2
b
3
× 2ab
2
is equal to
(a) 2a
3
b
4

(b) 2a
3
b
5

(c) 2ab
(d) a
3
b
5

Solution:

The option (b) is correct answer.
It can be written as
a
2
b
3
× 2ab
2
= 2a
2
× a × b
3
× b
2
= 2a
3
b
5
.

7. 4a
2
b
3
× 3ab
2
× 5a
3
b is equal to
(a) 60a
3
b
5

(b) 60a
6
b
5

(c) 60a
6
b
6

(d) a
6
b
6

Solution:

The option (c) is correct answer.
It can be written as
4a
2
b
3
× 3ab
2
× 5a
3
b = 4 × 3 × 5 × a
2
× a × a
3
× b
3
× b
2
× b = 60a
6
b
6

8. If 2x
2
y and 3xy
2
denote the length and breadth of a rectangle, then its area is
(a) 6xy
(b) 6x
2
y
2

(c) 6x
3
y
3

(d) x
3
y
3

Solution:

The option (c) is correct answer.
We know that area of a rectangle = length × breadth
By substituting the values
Area = 2x
2
y × 3xy
2
= 6x
3
y
3

9. 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) 2x
3

(b) 2x
4

(c) x
4

(d) x
4
/2
Solution:

The option (b) is correct answer.
We know that
Total number of chairs in the room = Number of rows × Number of chairs
By substituting the values

Total number of chairs in the room = x
2
× 2x
2
= 2x
4

10. a
3
× 2a
2
b × 3ab
5
is equal to
(a) a
6
b
6
(b) 23a
6
b
6
(c) 6a
6
b
6
(d) None of these
Solution:
The option (c) is correct answer.
It can be written as
a
3
× 2a
2
b × 3ab
5
= 2 × 3 × a
3
× a
2
× a × b × b
5
= 6a
6
b
6

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## Mathematics (Maths) Class 6

191 videos|224 docs|43 tests

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