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

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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

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Question.  3

Which of the following represents 6 × x

(A)

6x

(B)

x/6

(C)

6 + x

(D)

6 – x

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Question.  4

Which of the following is an equation?

(A)

x + 1

(B)

x – 1

(C)

x – 1 = 0

(D)

x + 1 > 0

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Question.  5

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

(A)

20

(B)

12

(C)

5

(D)

8

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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

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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

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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

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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

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Question.  10

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

(A)

35

(B)

53

(C)

15

(D)

8

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Question.  11

In algebra, letters may stand for

(A)

known quantities

(B)

unknown quantities

(C)

fixed numbers

(D)

none of these

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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

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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

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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

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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

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Question.  16

The area of a square having each side x is

(A)

x × x

(B)

4x

(C)

x + x

(D)

4 + x

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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

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Question.  18

q/2 = 3 has a solution

(A)

6

(B)

8

(C)

3

(D)

2

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Question.  19

x – 4 = –2 has a solution

(A)

6

(B)

2

(C)

–6

(D)

–2

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Question.  20

4/2 = 2 denotes a

(A)

numerical equation

(B)

algebraic expression

(C)

equation with a variable

(D)

false statement

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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

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Question.  22

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

(A)

4

(B)

2

(C)

12

(D)

–12

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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

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