# ML Aggarwal Algebra MCQs Class 6 ICSE Maths Solutions

ML Aggarwal Algebra MCQs Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of  MCQs Questions for Algebra as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

## ML Aggarwal Algebra MCQs Class 6 ICSE Maths Solutions

 Board ICSE Publications Avichal Publishig Company (APC) Subject Maths Class 6th Chapter-9 Algebra Writer ML Aggarwal Book Name Understanding Topics Solution of MCQs Edition 2023-2024

### Algebra MCQs

ML Aggarwal Class 6 ICSE Maths Solutions

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#### Question 1.Fill in the blanks:

(i) In algebra, we use …………… to represent variables (generalized numbers).
(ii) A symbol or letter which can be given various numerical values is called a ……………
(iii) If Jaggu’s present age is x years, then his age 7 years from now is ……………
(iv) If one pen costs ₹ x, then the cost of 9 pens is ……………
(v) An equation is a statement that the two expressions are ……………
(vi) The Numerical coefficient of the monomial -5x2y3 is ……
(vii) 7 less than thrice a number y is ……………
(viii) If 3x + 4 = 19, then the value of x is ……………
(ix) The number of pencils bought for ₹ x at the rate of ₹2 per pencil is ……………
(x) 3pq  and -5pq are …. terms.
(xi) The value of the expression 3 – 5x for x = 4 is ……

(i) In algebra, we use letters to represent variables (generalized numbers).
(ii) A symbol or letter which can be given various numerical values is called a variable.
(iii) If Jaggu’s present age is x years, then his age 7 years from now is (x + 7) years.
(iv) If one pen costs ₹ x, then the cost of 9 pens is ₹9x.
(v) An equation is a statement that the two expressions are equal.
(vi) The Numerical coefficient of the monomial -5x2y3 is -5
(vii) 7 less than thrice a number y is 3y – 7.
(viii) If 3x + 4 = 19, then the value of x is 5.
(ix) The number of pencils bought for ₹ x at the rate of ₹2 per pencil is x/2.
(x) 3pq  and -5pq are unlike terms.
(xi) The value of the expression 3 – 5x for x = 4 is -17

### Algebra MCQs

ML Aggarwal Class 6 ICSE Maths Solutions

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#### Question 2. State whether the following statements are ture (T) or false (F):

(i) If x is variable then 5x is also variable.
(ii) If y is variable then y – 5 is also variable.
(iii) The number of angles in a triangle is a variable.
(iv) The value of an algebraic expression changes with the change in the value of the variable.
(v) If the length of a rectangle is twice its breadth, then its area is a constant.
(vi) An equation is satisfied only for a definite value of the variable.
(vii) If x toffees are distributed equally among 5 children, then each child gets 5x toffees.
(viii) t minutes are equal to 60 t seconds.
(ix) If x is a negative integer, then -x is a positive integer.
(x) x = 5 is a solution of the equation 3x + 2 = 13.
(xi) 2y- 7 > 13 is an equation.
(xii) ‘One third of a number x added to itself gives 8’ can be expressed as x/3 + 8 = x.
(xiii)The difference between the ages of two sisters Lata and Asha is a variable.

(i) If x is variable then 5x is also variable. True
(ii) If y is variable then y – 5 is also variable. True
(iii) The number of angles in a triangle is a variable. False
(iv) The value of an algebraic expression changes with the change in the value of the variable. True
(v) If the length of a rectangle is twice its breadth, then its area is a constant. False
(vi) An equation is satisfied only for a definite value of the variable. True
(vii) If x toffees are distributed equally among 5 children, then each child gets 5x toffees. False
(viii) t minutes are equal to 60 t seconds. True
(ix) If x is a negative integer, then -x is a positive integer. True
(x) x = 5 is a solution of the equation 3x + 2 = 13. False
(xi) 2y – 1 > 13 is an equation. False
(xii) ‘One third of a number x added to itself gives 8’ can be expressed as x/3 + 8 = x. False
(xiii)The difference between the ages of two sisters Lata and Asha is a variable. False

Algebra MCQs

### ML Aggarwal Class 6 ICSE Maths Solutions

Page-199

Choose the correct answer from the given four options (3 to 19):

#### Question 3. I think of a number x, add 5 to it. The result is then multiplied by 2 and the final result is 24. The correct algebraic statement is

(a) x + 5 × 2 = 24
(b) (x + 5) × 2 = 24
(c) 2 × x + 5 = 24
(d) x + 5 = 2 × 24

Let number = x
⇒ i.e. x + 5
Now multiply result with 2
i.e. (x + 5) × 2
Now, final result is 24
i.e. (x + 5) × 2 = 24 (b)

(a) x + 5
(b) 7x
(c) 2y + 3 = 11
(d) 2p < 1

2y + 3 = 11 (c)

#### Question 5. If each matchbox contains 48 matchsticks, then the number of matchsticks required to fill n such boxes is

(i) 48 + n
(b) 48 – n
(c) 48 ÷ n
(d) 48n

Matchstick required to fill 1 matchbox
= 48 × 1 = 48
Matchstick required to fill 2 matchbox
= 48 × 2 = 96
Matchstick required to fill 3 matchbox
= 48 × 3 – 144
∴ Matchstick required to fill n matchbox
= 48 n (d)

#### Question 6. If the perimeter of a regular hexagon is x metres, then the length of each of its sides is

(a) (x + 6) metres
(b) (x – 6) metres
(c) (x ÷ 6) metres
(d) (6 ÷ x) metres

Perimeter of hexagon = x metres
6(side) = x metres
Side = (x ÷ 6) metres
∴ Side = (x ÷ 6) metres (c)

#### Question 7. x = 3 is the solution of the equation

(a) x + 7 = 4
(b) x + 10 = 7
(c) x + 7 = 10
(d) x + 3 = 7

When put the value of x = 3
3 + 7=10 (c)

#### Question 8. The solution of the equation 3x – 2 = 10 is

(a) x = 1
(b) x = 2
(c) x = 3
(d) x = 4

3x – 2 = 10
3x = 10 + 2

x = 12/3 = x = 4 (d)

#### Question 9.The operation not involved in forming the expression 5x + 5/x from the variable x and number 5 is

(b) subtraction
(c) multiplication
(d) division

Subtraction (b)

Algebra MCQs

### ML Aggarwal Class 6 ICSE Maths Solutions

Page-200

(a) x/3 + 7

(b) 3/x + 7

(c) (x + 3)/7

(x/(3 + 7))

(a) x/3 + 7

#### Question 11. If there are x chairs in a row, then the number of persons that can be seated in 8 rows are

(a) 64
(b) x + 8
(c) 8x
(d) none of these

Let the no. of chairs in a row = x
⇒ Number of persons that can be seated in a row = x
Hence, number of persons that can be seoted in 8 row = 8x (c)

#### Question 12. If Arshad earns ₹ x per day and spends ₹ y per day, then his saving for the month of March is

(a) ₹(31x – y)
(b) ₹31(x – y)
(c) ₹31 (x + y)
(d) ₹31 (y – x)

Earning of Arshad for 1 day = ₹ x
Spending of Arshad for 1 day = ₹ y
Saving for 1 day = ₹(x – y)
Saving for 31 days = ₹31 (x – y) (b)

#### Question 13. If the length of a rectangle is 3 times its breadth and the breadth is x units, then its perimeter is

(a) 4x units
(b) 6x units
(c) 8x units
(d) 10x units

Breadth of rectangle = x units
Length of rectangle = 3(Breadth) = 3x
Perimeter of rectangle = 2(l + b)
= 2(3x + x)
= 2(4x) = 8x units (c)

#### Question 14. Rashmi has a sum of ₹ x. She spend ₹800 on grocery, ₹600 on cloths and ₹500 on education and received as ₹200 as a gift. How much money (in ₹) is left with her?

(a) x – 1700
(b) x – 1900
(c) x + 200
(d) x – 2100

Total money = ₹ x
Money spent = ₹800 on grocery
Money spent = ₹600 on cloths .
Money spent = ₹500 on education
Money left with Rashmi
= x – ₹800 + ₹600 + ₹500
= x – 1900
∴ Money left = x – 1900 + 200
= x – 1700 (a)

#### Question 15. For any two integers a and b, which of the following suggests that the operation of addition is commutative?

(a) a × b = b × a
(b) a + b = b + a
(c) a – b = b – a
(d) a + b > a

a + b = b + a

#### Question 16. The number of unlike terms in the expression

2x2y -3y2z – 5yx2 + yz (x + y) + 7 is

(a) 3

(b) 4

(c) 5

(d) 6

(a) -1

(b) 0

(c) 1

(d) 11