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.

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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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Detailed Step by Step Answer

Question.  18

q/2 = 3 has a solution

(A)

6

(B)

8

(C)

3

(D)

2

Detailed Step by Step Answer

Question.  19

x – 4 = –2 has a solution

(A)

6

(B)

2

(C)

–6

(D)

–2

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

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

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

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

Detailed Step by Step Answer
NCERT Exemplar Solutions Class 6 – Mathematics – Unit 7: Algebra – Multiple Choice Questions | Detailed Answers