NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System
Multiple Choice Questions

In questions 1 to 38, out of the four options, only one is correct. Write the correct answer.

Question.  1

The product of the place values of two 2’s in 428721 is

(A)

4

(B)

40000

(C)

400000

(D)

40000000

Open

Question.  2

\(3\times10000+7\times1000+9\times100+0\times10+4\) equals

(A)

3794

(B)

37940

(C)

37904

(D)

379409

Open

Question.  3

If 1 is added to the greatest 7-digit number, it equals

(A)

10 thousand

(B)

1 lakh

(C)

10 lakh

(D)

1 crore

Open

Question.  4

The expanded form of 9578 is

(A)

\(9\times10000+5\times1000+7\times10+8\times1\)

(B)

\(9\times1000+5\times100+7\times10+8\times1\)

(C)

\(9\times1000+57\times10+8\times1\)

(D)

\(9\times100+5\times100+7\times10+8\times1\)

Open

Question.  5

When rounded off to nearest thousands, 85642 is

(A)

85600

(B)

85700

(C)

85000

(D)

86000

Open

Question.  6

The largest 4-digit number using any one digit twice from 5, 9, 2, 6 is

(A)

9652

(B)

9562

(C)

9659

(D)

9965

Open

Question.  7

In Indian System of Numeration, 58695376 is written as

(A)

58,69, 53, 76

(B)

58,695,376

(C)

5,86,95,376

(D)

586,95,376

Open

Question.  8

One million is equal to

(A)

1 lakh

(B)

10 lakh

(C)

1 crore

(D)

10 crore

Open

Question.  9

The greatest number which on rounding off to nearest thousands gives 5000 is

(A)

5001

(B)

5559

(C)

5999

(D)

5499

Open

Question.  10

Keeping the place of 6 fixed in 6350947, the smallest number by rearranging other digits is

(A)

6975430

(B)

6043579

(C)

6034579

(D)

6034759

Open

Question.  11

Which Roman numeral is incorrect?

(A)

LXXX

(B)

LXX

(C)

LX

(D)

LLX

Open

Question.  12

The largest 5-digit number having three different digits is

(A)

98978

(B)

99897

(C)

99987

(D)

98799

Open

Question.  13

The smallest 4-digit number having three different digits is

(A)

1102

(B)

1012

(C)

1020

(D)

1002

Open

Question.  14

Number of whole numbers between 38 and 68 is

(A)

31

(B)

30

(C)

29

(D)

28

Open

Question.  15

The product of the successor and predecessor of 999 is

(A)

999000

(B)

998000

(C)

989000

(D)

1998

Open

Question.  16

The product of a non-zero whole number and its successor is always

(A)

an even number

(B)

an odd number

(C)

a prime number

(D)

divisible by 3

Open

Question.  17

A whole number is added to 25 and the same number is subtracted from 25. The sum of the results is

(A)

0

(B)

25

(C)

50

(D)

75

Open

Question.  18

Which of the following is not true?

(A)

\( (7+8)+9 = 7+(8+9) \)

(B)

\( (7 imes8) imes9 = 7 imes(8 imes9) \)

(C)

\( 7 + 8 imes9 = (7+8) imes(7+9) \)

(D)

\( 7 imes(8+9) = (7 imes8)+(7 imes9) \)

Open

Question.  19

Using dot (·) patterns, which number can be arranged as a line, a triangle and a rectangle?

(A)

9

(B)

10

(C)

11

(D)

12

Open

Question.  20

Which statement is not true?

(A)

Addition and multiplication are associative for whole numbers.

(B)

Zero is the identity for multiplication of whole numbers.

(C)

Addition and multiplication are commutative for whole numbers.

(D)

Multiplication is distributive over addition.

Open

Question.  21

Which statement is not true?

(A)

0+0=0

(B)

0-0=0

(C)

0\times0=0

(D)

0\div0=0

Open

Question.  22

The predecessor of 1 lakh is

(A)

99000

(B)

99999

(C)

999999

(D)

100001

Open

Question.  23

The successor of 1 million is

(A)

2 millions

(B)

1000001

(C)

100001

(D)

10001

Open

Question.  24

Number of even numbers between 58 and 80 is

(A)

10

(B)

11

(C)

12

(D)

13

Open

Question.  25

Sum of the number of primes between 16–80 and 90–100 is

(A)

20

(B)

18

(C)

17

(D)

16

Open

Question.  26

Which statement is not true?

(A)

HCF of two distinct prime numbers is 1.

(B)

HCF of two coprime numbers is 1.

(C)

HCF of two consecutive even numbers is 2.

(D)

HCF of an even and an odd number is even.

Open

Question.  27

The number of distinct prime factors of the largest 4-digit number is

(A)

2

(B)

3

(C)

5

(D)

11

Open

Question.  28

The number of distinct prime factors of the smallest 5-digit number is

(A)

2

(B)

4

(C)

6

(D)

8

Open

Question.  29

If \(7254*98\) is divisible by 22, the digit \(*)\) is

(A)

1

(B)

2

(C)

6

(D)

0

Open

Question.  30

The largest number that always divides the sum of any pair of consecutive odd numbers is

(A)

2

(B)

4

(C)

6

(D)

8

Open

Question.  31

A number is divisible by 5 and 6. It may not be divisible by

(A)

10

(B)

15

(C)

30

(D)

60

Open

Question.  32

The sum of the prime factors of 1729 is

(A)

13

(B)

19

(C)

32

(D)

39

Open

Question.  33

The greatest number which always divides the product of the predecessor and successor of an odd natural number \((\neq 1)\) is

(A)

6

(B)

4

(C)

16

(D)

8

Open

Question.  34

The number of common prime factors of 75, 60 and 105 is

(A)

2

(B)

3

(C)

4

(D)

5

Open

Question.  35

Which pair is not coprime?

(A)

8, 10

(B)

11, 12

(C)

1, 3

(D)

31, 33

Open

Question.  36

Which of the following is divisible by 11?

(A)

1011011

(B)

1111111

(C)

22222222

(D)

3333333

Open

Question.  37

LCM of 10, 15 and 20 is

(A)

30

(B)

60

(C)

90

(D)

180

Open

Question.  38

LCM of two numbers is 180. Which of the following is not the HCF of the numbers?

(A)

45

(B)

60

(C)

75

(D)

90

Open

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – Multiple Choice Questions | Detailed Answers