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.

Quick Links to Questions

Question.  1

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

(A)

4

(B)

40000

(C)

400000

(D)

40000000

Question.  2

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

(A)

3794

(B)

37940

(C)

37904

(D)

379409

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

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)

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

Question.  5

When rounded off to nearest thousands, 85642 is

(A)

85600

(B)

85700

(C)

85000

(D)

86000

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

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

Question.  8

One million is equal to

(A)

1 lakh

(B)

10 lakh

(C)

1 crore

(D)

10 crore

Question.  9

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

(A)

5001

(B)

5559

(C)

5999

(D)

5499

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

Question.  11

Which Roman numeral is incorrect?

(A)

LXXX

(B)

LXX

(C)

LX

(D)

LLX

Question.  12

The largest 5-digit number having three different digits is

(A)

98978

(B)

99897

(C)

99987

(D)

98799

Question.  13

The smallest 4-digit number having three different digits is

(A)

1102

(B)

1012

(C)

1020

(D)

1002

Question.  14

Number of whole numbers between 38 and 68 is

(A)

31

(B)

30

(C)

29

(D)

28

Question.  15

The product of the successor and predecessor of 999 is

(A)

999000

(B)

998000

(C)

989000

(D)

1998

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

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

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)

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

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

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.

Question.  21

Which statement is not true?

(A)

0+0=0

(B)

0-0=0

(C)

0\times0=0

(D)

0\div0=0

Question.  22

The predecessor of 1 lakh is

(A)

99000

(B)

99999

(C)

999999

(D)

100001

Question.  23

The successor of 1 million is

(A)

2 millions

(B)

1000001

(C)

100001

(D)

10001

Question.  24

Number of even numbers between 58 and 80 is

(A)

10

(B)

11

(C)

12

(D)

13

Question.  25

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

(A)

20

(B)

18

(C)

17

(D)

16

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.

Question.  27

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

(A)

2

(B)

3

(C)

5

(D)

11

Question.  28

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

(A)

2

(B)

4

(C)

6

(D)

8

Question.  29

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

(A)

1

(B)

2

(C)

6

(D)

0

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

Question.  31

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

(A)

10

(B)

15

(C)

30

(D)

60

Question.  32

The sum of the prime factors of 1729 is

(A)

13

(B)

19

(C)

32

(D)

39

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

Question.  34

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

(A)

2

(B)

3

(C)

4

(D)

5

Question.  35

Which pair is not coprime?

(A)

8, 10

(B)

11, 12

(C)

1, 3

(D)

31, 33

Question.  36

Which of the following is divisible by 11?

(A)

1011011

(B)

1111111

(C)

22222222

(D)

3333333

Question.  37

LCM of 10, 15 and 20 is

(A)

30

(B)

60

(C)

90

(D)

180

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

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