NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra
Multiple Choice Questions

In questions 1 to 23, out of the four given options, only one is correct. Write the correct answer.

Question.  1

If each match box contains 50 matchsticks, the number of matchsticks required to fill n such boxes is

(A)

50 + n

(B)

50n

(C)

50 ÷ n

(D)

50 – n

Open

Detailed Step by Step Answer

Question.  2

Amulya is x years of age now. 5 years ago her age was

(A)

(5 – x) years

(B)

(5 + x) years

(C)

(x – 5) years

(D)

(5 ÷ x) years

Open

Detailed Step by Step Answer

Question.  3

Which of the following represents 6 × x

(A)

6x

(B)

x/6

(C)

6 + x

(D)

6 – x

Open

Detailed Step by Step Answer

Question.  4

Which of the following is an equation?

(A)

x + 1

(B)

x – 1

(C)

x – 1 = 0

(D)

x + 1 > 0

Open

Detailed Step by Step Answer

Question.  5

If x takes the value 2, then the value of x + 10 is

(A)

20

(B)

12

(C)

5

(D)

8

Open

Detailed Step by Step Answer

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

Open

Detailed Step by Step Answer

Question.  7

Which of the following equations has x = 2 as a solution?

(A)

x + 2 = 5

(B)

x – 2 = 0

(C)

2x + 1 = 0

(D)

x + 3 = 6

Open

Detailed Step by Step Answer

Question.  8

For any two integers x and y, which of the following suggests that operation of addition is commutative ?

(A)

x + y = y + x

(B)

x + y > x

(C)

x – y = y – x

(D)

x × y = y × x

Open

Detailed Step by Step Answer

Question.  9

Which of the following equations does not have a solution in integers?

(A)

x + 1 = 1

(B)

x – 1 = 3

(C)

2x + 1 = 6

(D)

1 – x = 5

Open

Detailed Step by Step Answer

Question.  10

In algebra, a × b means ab, but in arithmetic 3 × 5 is

(A)

35

(B)

53

(C)

15

(D)

8

Open

Detailed Step by Step Answer

Question.  11

In algebra, letters may stand for

(A)

known quantities

(B)

unknown quantities

(C)

fixed numbers

(D)

none of these

Open

Detailed Step by Step Answer

Question.  12

“Variable” means that it

(A)

can take different values

(B)

has a fixed value

(C)

can take only 2 values

(D)

can take only three values

Open

Detailed Step by Step Answer

Question.  13

10 – x means

(A)

10 is subtracted x times

(B)

x is subtracted 10 times

(C)

x is subtracted from 10

(D)

10 is subtracted from x

Open

Detailed Step by Step Answer

Question.  14

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?

(A)

x – 1700

(B)

x – 1900

(C)

x + 200

(D)

x – 2100

Open

Detailed Step by Step Answer

Question.  15

The perimeter of the triangle shown in Fig. 7.1 is

(A)

2x + y

(B)

x + 2y

(C)

x + y

(D)

2x – y

Open

Detailed Step by Step Answer

Question.  16

The area of a square having each side x is

(A)

x × x

(B)

4x

(C)

x + x

(D)

4 + x

Open

Detailed Step by Step Answer

Question.  17

The expression obtained when x is multiplied by 2 and then subtracted from 3 is

(A)

2x – 3

(B)

2x + 3

(C)

3 – 2x

(D)

3x – 2

Open

Detailed Step by Step Answer

Question.  18

q/2 = 3 has a solution

(A)

6

(B)

8

(C)

3

(D)

2

Open

Detailed Step by Step Answer

Question.  19

x – 4 = –2 has a solution

(A)

6

(B)

2

(C)

–6

(D)

–2

Open

Detailed Step by Step Answer

Question.  20

4/2 = 2 denotes a

(A)

numerical equation

(B)

algebraic expression

(C)

equation with a variable

(D)

false statement

Open

Detailed Step by Step Answer

Question.  21

Kanta has p pencils in her box. She puts q more pencils in the box. The total number of pencils with her are

(A)

p + q

(B)

pq

(C)

p – q

(D)

p/q

Open

Detailed Step by Step Answer

Question.  22

The equation 4x = 16 is satisfied by the following value of x

(A)

4

(B)

2

(C)

12

(D)

–12

Open

Detailed Step by Step Answer

Question.  23

I think of a number and on adding 13 to it, I get 27. The equation for this is

(A)

x – 27 = 13

(B)

x – 13 = 27

(C)

x + 27 = 13

(D)

x + 13 = 27

Open

Detailed Step by Step Answer
Open NCERT PDF