NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 1: Number System
Multiple Choice Questions

In questions 1 to 25, out of the four options, only one is correct. Write the correct answer.

Question.  1

When the integers 10, 0, 5, –5, –7 are arranged in descending or ascending order, then find out which of the following integers always remains in the middle of the arrangement.

(a)

0

(b)

5

(c)

–7

(d)

–5

Open

Question.  2

By observing the number line (Fig. 1.2), state which of the following statements is not true.

(a)

B is greater than –10

(b)

A is greater than 0

(c)

B is greater than A

(d)

B is smaller than 0

Open

Question.  3

By observing the above number line (Fig. 1.2), state which of the following statements is true.

(a)

B is 2

(b)

A is –4

(c)

B is –13

(d)

B is –4

Open

Question.  4

Next three consecutive numbers in the pattern 11, 8, 5, 2, ––, ––, –– are

(a)

0, –3, –6

(b)

–1, –5, –8

(c)

–2, –5, –8

(d)

–1, –4, –7

Open

Question.  5

The next number in the pattern –62, –37, –12, –– is

(a)

25

(b)

13

(c)

0

(d)

–13

Open

Question.  6

Which of the following statements is not true?

(a)

When two positive integers are added, we always get a positive integer.

(b)

When two negative integers are added we always get a negative integer.

(c)

When a positive integer and a negative integer is added we always get a negative integer.

(d)

Additive inverse of an integer 2 is (–2) and additive inverse of (–2) is 2.

Open

Question.  7

On the following number line value ‘Zero’ is shown by the point

(a)

X

(b)

Y

(c)

Z

(d)

W

Open

Question.  8

If ⊗, O, ⊙ and • represent some integers on the number line, then the descending order of these numbers is

(a)

•, ⊗, ⊙, O

(b)

⊗, •, ⊙, O

(c)

O, ⊙, ⊗, •

(d)

O, •, ⊗, ⊙

Open

Question.  9

On the number line, the value of \((-3)\times 3\) lies on right hand side of

(a)

–10

(b)

–4

(c)

0

(d)

9

Open

Question.  10

The value of \(5\div(-1)\) does not lie between

(a)

0 and –10

(b)

0 and 10

(c)

–4 and –15

(d)

–6 and 6

Open

Question.  11

Water level in a well was 20 m below ground level. During rainy season, rain water collected in different water tanks was drained into the well and the water level rises 5 m above the previous level. The wall of the well is 1 m 20 cm high and a pulley is fixed at a height of 80 cm. Raghu wants to draw water from the well. The minimum length of the rope that he can use is

(a)

17 m

(b)

18 m

(c)

96 m

(d)

97 m

Open

Question.  12

\((-11)\times 7\) is not equal to

(a)

\(11\times(-7)\)

(b)

\(-\,(11\times 7)\)

(c)

\((-11)\times(-7)\)

(d)

\(7\times(-11)\)

Open

Question.  13

\((-10)\times(-5)+(-7)\) is equal to

(a)

–57

(b)

57

(c)

–43

(d)

43

Open

Question.  14

Which of the following is not the additive inverse of \(a\)?

(a)

–(–a)

(b)

\(a\times(-1)\)

(c)

–a

(d)

\(a\div(-1)\)

Open

Question.  15

Which of the following is the multiplicative identity for an integer \(a\)?

(a)

\(a\)

(b)

1

(c)

0

(d)

–1

Open

Question.  16

\([(–8)\times(–3)]\times(–4)\) is not equal to

(a)

\((–8)\times[(–3)\times(–4)]\)

(b)

\([(–8)\times(–4)]\times(–3)\)

(c)

\([(–3)\times(–8)]\times(–4)\)

(d)

\((–8)\times(–3) - (–8)\times(–4)\)

Open

Question.  17

\((–25)\times[6+4]\) is not same as

(a)

\((–25)\times 10\)

(b)

\((–25)\times 6 + (–25)\times 4\)

(c)

\((–25)\times 6 \times 4\)

(d)

–250

Open

Question.  18

\(–35\times 107\) is not same as

(a)

\(–35\times(100+7)\)

(b)

\((–35)\times 7 + (–35)\times 100\)

(c)

\(–35\times 7 + 100\)

(d)

\((–30–5)\times 107\)

Open

Question.  19

\((–43)\times(–99)+43\) is equal to

(a)

4300

(b)

–4300

(c)

4257

(d)

–4214

Open

Question.  20

\((–16)\div 4\) is not same as

(a)

\((–4)\div 16\)

(b)

\(-\,(16\div 4)\)

(c)

\(16\div(–4)\)

(d)

–4

Open

Question.  21

Which of the following does not represent an integer?

(a)

\(0\div(–7)\)

(b)

\(20\div(–4)\)

(c)

\((–9)\div 3\)

(d)

\((–12)\div 5\)

Open

Question.  22

Which of the following is different from the others?

(a)

\(20+(–25)\)

(b)

\((–37)–(–32)\)

(c)

\((–5)\times(–1)\)

(d)

\((45)\div(–9)\)

Open

Question.  23

Which of the following shows the maximum rise in temperature?

(a)

23° to 32°

(b)

–10° to 1°

(c)

–18° to –11°

(d)

–5° to 5°

Open

Question.  24

If \(a\) and \(b\) are two integers, then which of the following may not be an integer?

(a)

\(a+b\)

(b)

\(a-b\)

(c)

\(a\times b\)

(d)

\(a\div b\)

Open

Question.  25

For a non-zero integer \(a\) which of the following is not defined?

(a)

\(a\div 0\)

(b)

\(0\div a\)

(c)

\(a\div 1\)

(d)

\(1\div a\)

Open

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 1: Number System – Multiple Choice Questions | Detailed Answers