# NCERT solutions for Mathematics Exemplar Class 6 chapter 1 - Number System [Latest edition]

## Chapter 1: Number System

Exercise
Exercise [Pages 5 - 20]

### NCERT solutions for Mathematics Exemplar Class 6 Chapter 1 Number System Exercise [Pages 5 - 20]

#### Choose the correct alternative:

Exercise | Q 1 | Page 5

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

• 4

• 40000

• 400000

• 40000000

Exercise | Q 2 | Page 5

3 × 10000 + 7 × 1000 + 9 × 100 + 0 × 10 + 4 is the same as ______.

• 3794

• 37940

• 37904

• 379409

Exercise | Q 3 | Page 6

If 1 is added to the greatest 7-digit number, it will be equal to ______.

• 10 thousand

• 1 lakh

• 10 lakh

• 1 crore

Exercise | Q 4 | Page 6

The expanded form of the number 9578 is ______.

• 9 × 10000 + 5 × 1000 + 7 × 10 + 8 × 1

• 9 × 1000 + 5 × 100 + 7 × 10 + 8 × 1

• 9 × 1000 + 57 × 10 + 8 × 1

• 9 × 100 + 5 × 100 + 7 × 10 + 8 × 1

Exercise | Q 5 | Page 6

When rounded off to nearest thousands, the number 85642 is ______.

• 85600

• 85700

• 85000

• 86000

Exercise | Q 6 | Page 6

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

• 9652

• 9562

• 9659

• 9965

Exercise | Q 7 | Page 6

In Indian System of Numeration, the number 58695376 is written as ______.

• 58, 69, 53, 76

• 58, 695, 376

• 5, 86, 95, 376

• 586, 95, 376

Exercise | Q 8 | Page 6

One million is equal to ______.

• 1 lakh

• 10 lakh

• 1 crore

• 10 crore

Exercise | Q 9 | Page 6

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

• 5001

• 5559

• 5999

• 5499

Exercise | Q 10 | Page 6

Keeping the place of 6 in the number 6350947 same, the smallest number obtained by rearranging other digits is ______.

• 6975430

• 6043579

• 6034579

• 6034759

Exercise | Q 11 | Page 6

Which of the following numbers in Roman numerals is incorrect?

• LXXX

• LXX

• LX

• LLX

Exercise | Q 12 | Page 6

The largest 5-digit number having three different digits is ______.

• 98978

• 99897

• 99987

• 98799

Exercise | Q 13 | Page 7

The smallest 4-digit number having three different digits is ______.

• 1102

• 1012

• 1020

• 1002

Exercise | Q 14 | Page 7

Number of whole numbers between 38 and 68 is ______.

• 31

• 30

• 29

• 28

Exercise | Q 15 | Page 7

The product of successor and predecessor of 999 is ______.

• 999000

• 998000

• 989000

• 1998

Exercise | Q 16 | Page 7

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

• An even number

• An odd number

• A prime number

• Divisible by 3

Exercise | Q 17 | Page 7

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

• 0

• 25

• 50

• 75

Exercise | Q 18 | Page 7

Which of the following is not true?

• (7 + 8) + 9 = 7 + (8 + 9)

• (7 × 8) × 9 = 7 × (8 × 9)

• 7 + 8 × 9 = (7 + 8) × (7 + 9)

• 7 × (8 + 9) = (7 × 8) + (7 × 9)

Exercise | Q 19 | Page 7

By using dot (.) patterns, which of the following numbers can be arranged in all the three ways namely a line, a triangle and a rectangle?

• 9

• 10

• 11

• 12

Exercise | Q 20 | Page 7

Which of the following statements is not true?

• Both addition and multiplication are associative for whole numbers.

• Zero is the identity for multiplication of whole numbers.

• Addition and multiplication both are commutative for whole numbers.

• Multiplication is distributive over addition for whole numbers.

Exercise | Q 21 | Page 8

Which of the following statements is not true?

• 0 + 0 = 0

• 0 – 0 = 0

• 0 × 0 = 0

• 0 ÷ 0 = 0

Exercise | Q 22 | Page 8

The predecessor of 1 lakh is ______.

• 99000

• 99999

• 999999

• 100001

Exercise | Q 23 | Page 8

The successor of 1 million is ______.

• 2 millions

• 1000001

• 100001

• 10001

Exercise | Q 24 | Page 8

Number of even numbers between 58 and 80 is ______.

• 10

• 11

• 12

• 13

Exercise | Q 25 | Page 8

Sum of the number of primes between 16 to 80 and 90 to 100 is ______.

• 20

• 18

• 17

• 16

Exercise | Q 26 | Page 8

Which of the following statements is not true?

• The HCF of two distinct prime numbers is 1

• The HCF of two co-prime numbers is 1

• The HCF of two consecutive even numbers is 2

• The HCF of an even and an odd number is even

Exercise | Q 27 | Page 8

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

• 2

• 3

• 5

• 11

Exercise | Q 28 | Page 8

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

• 2

• 4

• 6

• 8

Exercise | Q 29 | Page 8

If the number 7254 * 98 is divisible by 22, the digit at * is ______.

• 1

• 2

• 6

• 0

Exercise | Q 30 | Page 8

The largest number which always divides the sum of any pair of consecutive odd numbers is ______.

• 2

• 4

• 6

• 8

Exercise | Q 31 | Page 8

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

• 10

• 15

• 30

• 60

Exercise | Q 32 | Page 9

The sum of the prime factors of 1729 is ______.

• 13

• 19

• 32

• 39

Exercise | Q 33 | Page 9

The greatest number which always divides the product of the predecessor and successor of an odd natural number other than 1, is ______.

• 6

• 4

• 16

• 8

Exercise | Q 34 | Page 9

The number of common prime factors of 75, 60, 105 is ______.

• 2

• 3

• 4

• 5

Exercise | Q 35 | Page 9

Which of the following pairs is not coprime?

• 8, 10

• 11, 12

• 1, 3

• 31, 33

Exercise | Q 36 | Page 9

Which of the following numbers is divisible by 11?

• 1011011

• 1111111

• 22222222

• 3333333

Exercise | Q 37 | Page 9

LCM of 10, 15 and 20 is ______.

• 30

• 60

• 90

• 180

Exercise | Q 38 | Page 9

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

• 45

• 60

• 75

• 90

#### State whether the following statement is True or False:

Exercise | Q 39 | Page 9

In Roman numeration, a symbol is not repeated more than three times.

• True

• False

Exercise | Q 40 | Page 9

In Roman numeration, if a symbol is repeated, its value is multiplied as many times as it occurs.

• True

• False

Exercise | Q 41 | Page 9

5555 = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1

• True

• False

Exercise | Q 42 | Page 9

39746 = 3 × 10000 + 9 × 1000 + 7 × 100 + 4 × 10 + 6

• True

• False

Exercise | Q 43 | Page 9

82546 = 8 × 1000 + 2 × 1000 + 5 × 100 + 4 × 10 + 6

• True

• False

Exercise | Q 44 | Page 9

532235 = 5 × 100000 + 3 × 10000 + 2 × 1000 + 2 × 100 + 3 × 10 + 5

• True

• False

Exercise | Q 45 | Page 10

XXIX = 31

• True

• False

Exercise | Q 46 | Page 10

LXXIV = 74

• True

• False

Exercise | Q 47 | Page 10

The number LIV is greater than LVI.

• True

• False

Exercise | Q 48 | Page 10

The numbers 4578, 4587, 5478, 5487 are in descending order.

• True

• False

Exercise | Q 49 | Page 10

The number 85764 rounded off to nearest hundreds is written as 85700.

• True

• False

Exercise | Q 50 | Page 10

Estimated sum of 7826 and 12469 rounded off to hundreds is 20,000.

• True

• False

Exercise | Q 51 | Page 10

The largest six-digit telephone number that can be formed by using digits 5, 3, 4, 7, 0, 8 only once is 875403.

• True

• False

Exercise | Q 52 | Page 10

The number 81652318 will be read as eighty one crore six lakh fifty two thousand three hundred eighteen.

• True

• False

Exercise | Q 53 | Page 10

The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once is 9760.

• True

• False

Exercise | Q 54 | Page 10

Among kilo, milli and centi, the smallest is centi.

• True

• False

Exercise | Q 55 | Page 10

Successor of a one digit number is always a one digit number.

• True

• False

Exercise | Q 56 | Page 10

Successor of a 3-digit number is always a 3-digit number.

• True

• False

Exercise | Q 57 | Page 10

Predecessor of a two-digit number is always a two digit number.

• True

• False

Exercise | Q 58 | Page 10

Every whole number has its successor.

• True

• False

Exercise | Q 59 | Page 10

Every whole number has its predecessor.

• True

• False

Exercise | Q 60 | Page 10

Between any two natural numbers, there is one natural number.

• True

• False

Exercise | Q 61 | Page 10

The smallest 4-digit number is the successor of the largest 3-digit number.

• True

• False

Exercise | Q 62 | Page 10

Of the given two natural numbers, the one having more digits is greater.

• True

• False

Exercise | Q 63 | Page 10

Natural numbers are closed under addition.

• True

• False

Exercise | Q 64 | Page 10

Natural numbers are not closed under multiplication.

• True

• False

Exercise | Q 65 | Page 10

Natural numbers are closed under subtraction.

• True

• False

Exercise | Q 66 | Page 11

Addition is commutative for natural numbers.

• True

• False

Exercise | Q 67 | Page 11

1 is the identity for addition of whole numbers.

• True

• False

Exercise | Q 68 | Page 11

1 is the identity for multiplication of whole numbers

• True

• False

Exercise | Q 69 | Page 11

There is a whole number which when added to a whole number, gives the number itself.

• True

• False

Exercise | Q 70 | Page 11

There is a natural number which when added to a natural number, gives the number itself.

• True

• False

Exercise | Q 71 | Page 11

If a whole number is divided by another whole number, which is greater than the first one, the quotient is not equal to zero.

• True

• False

Exercise | Q 72 | Page 11

Any non-zero whole number divided by itself gives the quotient 1.

• True

• False

Exercise | Q 73 | Page 11

The product of two whole numbers need not be a whole number.

• True

• False

Exercise | Q 74 | Page 11

A whole number divided by another whole number greater than 1 never gives the quotient equal to the former.

• True

• False

Exercise | Q 75 | Page 11

Every multiple of a number is greater than or equal to the number.

• True

• False

Exercise | Q 76 | Page 11

The number of multiples of a given number is finite.

• True

• False

Exercise | Q 77 | Page 11

Every number is a multiple of itself.

• True

• False

Exercise | Q 78 | Page 11

Sum of two consecutive odd numbers is always divisible by 4.

• True

• False

Exercise | Q 79 | Page 11

If a number divides three numbers exactly, it must divide their sum exactly.

• True

• False

Exercise | Q 80 | Page 11

If a number exactly divides the sum of three numbers, it must exactly divide the numbers separately.

• True

• False

Exercise | Q 81 | Page 11

If a number is divisible both by 2 and 3, then it is divisible by 12.

• True

• False

Exercise | Q 82 | Page 11

A number with three or more digits is divisible by 6, if the number formed by its last two digits (i.e., ones and tens) is divisible by 6.

• True

• False

Exercise | Q 83 | Page 11

A number with 4 or more digits is divisible by 8, if the number formed by the last three digits is divisible by 8.

• True

• False

Exercise | Q 84 | Page 11

If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 9.

• True

• False

Exercise | Q 85 | Page 12

All numbers which are divisible by 4 may not be divisible by 8

• True

• False

Exercise | Q 86 | Page 12

The Highest Common Factor of two or more numbers is greater than their Lowest Common Multiple.

• True

• False

Exercise | Q 87 | Page 12

LCM of two or more numbers is divisible by their HCF.

• True

• False

Exercise | Q 88 | Page 12

LCM of two numbers is 28 and their HCF is 8.

• True

• False

Exercise | Q 89 | Page 12

LCM of two or more numbers may be one of the numbers.

• True

• False

Exercise | Q 90 | Page 12

HCF of two or more numbers may be one of the numbers.

• True

• False

Exercise | Q 91 | Page 12

Every whole number is the successor of another whole number.

• True

• False

Exercise | Q 92 | Page 12

Sum of two whole numbers is always less than their product.

• True

• False

Exercise | Q 93 | Page 12

If the sum of two distinct whole numbers is odd, then their difference also must be odd.

• True

• False

Exercise | Q 94 | Page 12

Any two consecutive numbers are coprime.

• True

• False

Exercise | Q 95 | Page 12

If the HCF of two numbers is one of the numbers, then their LCM is the other number.

• True

• False

Exercise | Q 96 | Page 12

The HCF of two numbers is smaller than the smaller of the numbers.

• True

• False

Exercise | Q 97 | Page 12

The LCM of two numbers is greater than the larger of the numbers.

• True

• False

Exercise | Q 98 | Page 12

The LCM of two coprime numbers is equal to the product of the numbers.

• True

• False

#### Fill in the blank:

Exercise | Q 99.(a) | Page 12

10 million = ______ crore.

Exercise | Q 99.(b) | Page 12

10 lakh = _____ million.

Exercise | Q 100.(a) | Page 12

1 metre = _____ millimetres.

Exercise | Q 100.(b) | Page 12

1 centimetre = _____ millimetres.

Exercise | Q 100.(c) | Page 12

1 kilometre = _____ millimetres.

Exercise | Q 101.(a) | Page 12

1 gram = _____ milligrams.

Exercise | Q 101.(b) | Page 12

1 litre = _____ millilitres.

Exercise | Q 101.(c) | Page 12

1 kilogram = _____ miligrams.

Exercise | Q 102 | Page 13

100 thousands = _____ lakh.

Exercise | Q 103 | Page 13

Height of a person is 1 m 65 cm. His height in millimetres is ______.

Exercise | Q 104 | Page 13

Length of river ‘Narmada’ is about 1290 km. Its length in metres is ______.

Exercise | Q 105 | Page 13

The distance between Sringar and Leh is 422 km. The same distance in metres is ______.

Exercise | Q 106 | Page 13

Writing of numbers from the greatest to the smallest is called an arrangement in _____ order.

Exercise | Q 107 | Page 13

By reversing the order of digits of the greatest number made by five different non-zero digits, the new number is the _____ number of five digits.

Exercise | Q 108 | Page 13

By adding 1 to the greatest _____ digit number, we get ten lakh.

Exercise | Q 109 | Page 13

The number five crore twenty-three lakh seventy-eight thousand four hundred one can be written, using commas, in the Indian System of Numeration as ______.

Exercise | Q 110 | Page 13

In Roman Numeration, the symbol X can be subtracted from _____, M and C only. 111. The number 66

Exercise | Q 111 | Page 13

The number 66 in Roman numerals is ______.

Exercise | Q 112 | Page 13

The population of Pune was 2,538,473 in 2001. Rounded off to nearest thousands, the population was ______.

Exercise | Q 113 | Page 13

The smallest whole number is ______.

Exercise | Q 114 | Page 13

Successor of 106159 is ______.

Exercise | Q 115 | Page 13

Predecessor of 100000 is ______.

Exercise | Q 116 | Page 13

400 is the predecessor of ______.

Exercise | Q 117 | Page 13

______ is the successor of the largest 3 digit number.

Exercise | Q 118 | Page 13

If 0 is subtracted from a whole number, then the result is the _____ itself .

Exercise | Q 119 | Page 13

The smallest 6 digit natural number ending in 5 is ______.

Exercise | Q 120 | Page 14

Whole numbers are closed under _____ and under _____.

Exercise | Q 121 | Page 14

Natural numbers are closed under _____ and under _____.

Exercise | Q 122 | Page 14

Division of a whole number by _____ is not defined.

Exercise | Q 123 | Page 14

Multiplication is distributive over _____ for whole numbers.

Exercise | Q 124 | Page 14

2395 × _____ = 6195 × 2395

Exercise | Q 125 | Page 14

1001 × 2002 = 1001 × (1001 + _____ )

Exercise | Q 126 | Page 14

10001 × 0 = ______.

Exercise | Q 127 | Page 14

2916 × _____ = 0

Exercise | Q 128 | Page 14

9128 × _____ = 9128

Exercise | Q 129 | Page 14

125 + (68 + 17) = (125 + _____ ) + 17

Exercise | Q 130 | Page 14

8925 × 1 = ______.

Exercise | Q 131 | Page 14

19 × 12 + 19 = 19 × (12 + _____)

Exercise | Q 132 | Page 14

24 × 35 = 24 × 18 + 24 × _____.

Exercise | Q 133 | Page 14

32 × (27 × 19) = (32 × _____ ) × 19

Exercise | Q 134 | Page 14

786 × 3 + 786 × 7 = ______.

Exercise | Q 135 | Page 14

24 × 25 = 24 × ______.

Exercise | Q 136 | Page 14

A number is a _____ of each of its factor.

Exercise | Q 137 | Page 14

______ is a factor of every number.

Exercise | Q 138 | Page 14

The number of factors of a prime number is ______.

Exercise | Q 139 | Page 14

A number for which the sum of all its factors is equal to twice the number is called a _____ number.

Exercise | Q 140 | Page 14

The numbers having more than two factors are called _____ numbers.

Exercise | Q 141 | Page 14

2 is the only _____ number which is even.

Exercise | Q 142 | Page 14

Two numbers having only 1 as a common factor are called _____ numbers.

Exercise | Q 143 | Page 15

Number of primes between 1 to 100 is ______.

Exercise | Q 144 | Page 15

If a number has _____ in ones place, then it is divisible by 10.

Exercise | Q 145 | Page 15

A number is divisible by 5, if it has _____ or _____ in its ones place.

Exercise | Q 146 | Page 15

A number is divisible by _____ if it has any of the digits 0, 2, 4, 6, or 8 in its ones place.

Exercise | Q 147 | Page 15

If the sum of the digits in a number is a _____ of 3, then the number is divisible by 3.

Exercise | Q 148 | Page 15

If the difference between the sum of digits at odd places (from the right) and the sum of digits at even places (from the right) of a number is either 0 or divisible by _____, then the number is divisible by 11.

Exercise | Q 149 | Page 15

The LCM of two or more given numbers is the lowest of their common ______.

Exercise | Q 150 | Page 15

The HCF of two or more given numbers is the highest of their common _____.

#### Match the Column:

Exercise | Q 151 | Page 15
 Column I Column II (i) The difference of two consecutive whole numbers (a) odd (ii) The product of two non-zero consecutive whole numbers (b) 0 (iii) Quotient when zero is divided by another non-zero whole number (c) 3 (iv) 2 added three times, to the smallest whole number (d) 1 (v) Smallest odd prime number (e) 6 (f) even
Exercise | Q 152 | Page 16

Arrange the followng numbers in descending order:

8435, 4835, 13584, 5348, 25843

Exercise | Q 153 | Page 16

Of the following numbers which is the greatest? Which is the smallest 38051425, 30040700, 67205602

Exercise | Q 154.(a) | Page 16

Write in expanded form:

74836

Exercise | Q 154.(b) | Page 16

Write in expanded form:

574021

Exercise | Q 154.(c) | Page 16

Write in expanded form:

8907010

Exercise | Q 155 | Page 16

As per the census of 2001, the population of four states are given below. Arrange the states in ascending and descending order of their population.

 (a) Maharashtra 96878627 (b) Andhra Pradesh 76210007 (c) Bihar 82998509 (d) Uttar Pradesh 166197921
Exercise | Q 156 | Page 16

The diameter of Jupiter is 142800000 metres. Insert commas suitably and write the diameter according to International System of Numeration.

Exercise | Q 157 | Page 16

India’s population has been steadily increasing from 439 millions in 1961 to 1028 millions in 2001. Find the total increase in population from 1961 to 2001. Write the increase in population in Indian System of Numeration, using commas suitably.

Exercise | Q 158 | Page 16

Radius of the Earth is 6400 km and that of Mars is 4300000 m. Whose radius is bigger and by how much?

Exercise | Q 159 | Page 16

In 2001, the poplulations of Tripura and Meghalaya were 3,199,203 and 2,318,822, respectively. Write the populations of these two states in words.

Exercise | Q 160 | Page 16

In a city, polio drops were given to 2,12,583 children on Sunday in March 2008 and to 2,16,813 children in the next month. Find the difference of the number of children getting polio drops in the two months

Exercise | Q 161 | Page 17

A person had Rs 1000000 with him. He purchased a colour T.V. for Rs 16580, a motor cycle for Rs 45890 and a flat for Rs 870000. How much money was left with him?

Exercise | Q 162 | Page 16

Out of 180000 tablets of Vitamin A, 18734 are distributed among the students in a district. Find the number of the remaining vitamin tablets.

Exercise | Q 163 | Page 17

Chinmay had Rs 610000. He gave Rs 87500 to Jyoti, Rs 126380 to Javed and Rs 350000 to John. How much money was left with him?

Exercise | Q 164 | Page 17

Find the difference between the largest number of seven digits and the smallest number of eight digits.

Exercise | Q 165 | Page 17

A mobile number consists of ten digits. The first four digits of the number are 9, 9, 8 and 7. The last three digits are 3, 5 and 5. The remaining digits are distinct and make the mobile number, the greatest possible number. What are these digits?

Exercise | Q 166 | Page 17

A mobile number consists of ten digits. First four digits are 9,9,7 and 9. Make the smallest mobile number by using only one digit twice from 8, 3, 5, 6, 0

Exercise | Q 167 | Page 17

In a five digit number, digit at ten’s place is 4, digit at unit’s place is one fourth of ten’s place digit, digit at hunderd’s place is 0, digit at thousand’s place is 5 times of the digit at unit’s place and ten thousand’s place digit is double the digit at ten’s place. Write the number.

Exercise | Q 168 | Page 17

Find the sum of the greatest and the least six digit numbers formed by the digits 2, 0, 4, 7, 6, 5 using each digit only once.

Exercise | Q 169 | Page 17

A factory has a container filled with 35874 litres of cold drink. In how many bottles of 200 ml capacity each can it be filled?

Exercise | Q 170 | Page 17

The population of a town is 450772. In a survey, it was reported that one out of every 14 persons is illiterate. In all how many illiterate persons are there in the town?

Exercise | Q 171 | Page 17

Find the LCM of 80, 96, 125, 160.

Exercise | Q 172 | Page 18

Make the greatest and the smallest 5-digit numbers using different digits in which 5 appears at ten’s place.

Exercise | Q 173 | Page 18

How many grams should be added to 2 kg 300 g to make it 5 kg 68 g?

Exercise | Q 174 | Page 18

A box contains 50 packets of biscuits each weighing 120 g. How many such boxes can be loaded in a van which cannot carry beyond 900 kg?

Exercise | Q 175 | Page 18

How many lakhs make five billions?

Exercise | Q 176 | Page 18

How many millions make 3 crores?

Exercise | Q 177.(a) | Page 18

Estimate the following by rounding off number to nearest hundreds:

874 + 478

Exercise | Q 177.(b) | Page 18

Estimate the following by rounding off number to nearest hundreds:

793 + 397

Exercise | Q 177.(c) | Page 18

Estimate the following by rounding off number to nearest hundreds:

11244 + 3507

Exercise | Q 177.(d) | Page 18

Estimate the following by rounding off number to nearest hundreds:

17677 + 13589

Exercise | Q 178.(a) | Page 18

Estimate the follwoing by rounding off number to nearest tens:

11963 – 9369

Exercise | Q 178.(b) | Page 18

Estimate the following by rounding off number to nearest tens:

76877 – 7783

Exercise | Q 178.(c) | Page 18

Estimate the following by rounding off number to nearest tens:

10732 – 4354

Exercise | Q 178.(d) | Page 18

Estimate the following by rounding off number to nearest tens:

78203 – 16407

Exercise | Q 179.(a) | Page 18

Estimate the following products by rounding number to nearest tens:

87 × 32

Exercise | Q 179.(b) | Page 18

Estimate the following products by rounding number to nearest tens:

311 × 113

Exercise | Q 179.(c) | Page 18

Estimate the following products by rounding number to nearest tens:

3239 × 28

Exercise | Q 179.(d) | Page 18

Estimate the following products by rounding number to nearest tens:

3239 × 28

Exercise | Q 180 | Page 18

The population of a town was 78787 in the year 1991 and 95833 in the year 2001. Estimate the increase in population by rounding off each population to nearest hundreds.

Exercise | Q 181 | Page 19

Estimate the product 758 × 6784 using the general rule.

Exercise | Q 182 | Page 19

A garment factory produced 216315 shirts, 182736 trousers and 58704 jackets in a year. What is the total production of all the three items in that year?

Exercise | Q 183 | Page 19

Find the LCM of 160, 170 and 90

Exercise | Q 184 | Page 19

A vessel has 13 litres 200 mL of fruit juice. In how many glasses each of capacity 60 mL can it be filled?

Exercise | Q 185.(a) | Page 19

Determine the sum of the four numbers as given below:

Successor of 32

Exercise | Q 185.(b) | Page 19

Determine the sum of the four numbers as given below:

Predecessor of 49

Exercise | Q 185.(c) | Page 19

Determine the sum of the four numbers as given below:

Predecessor of the predecessor of 56

Exercise | Q 185.(d) | Page 19

Determine the sum of the four numbers as given below:

Successor of successor of 67

Exercise | Q 186 | Page 19

A loading tempo can carry 482 boxes of biscuits weighing 15 kg each, whereas a van can carry 518 boxes each of the same weight. Find the total weight that can be carried by both the vehicles.

Exercise | Q 187 | Page 19

In the marriage of her daughter, Leela spent Rs 216766 on food and decoration, Rs 122322 on jewellery, Rs 88234 on furniture and Rs 26780 on kitchen items. Find the total amount spent by her on the above items.

Exercise | Q 188 | Page 19

A box contains 5 strips having 12 capsules of 500mg medicine in each capsule. Find the total weight in grams of medicine in 32 such boxes.

Exercise | Q 189 | Page 19

Determine the least number which when divided by 3, 4 and 5 leaves remainder 2 in each case.

Exercise | Q 190 | Page 19

A merchant has 120 litres of oil of one kind, 180 litres of another kind and 240 litres of a third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?

Exercise | Q 191 | Page 19

Find a 4-digit odd number using each of the digits 1, 2, 4 and 5 only once such that when the first and the last digits are interchanged, it is divisible by 4.

Exercise | Q 192 | Page 20

Using each of the digits 1, 2, 3 and 4 only once, determine the smallest 4-digit number divisible by 4.

Exercise | Q 193 | Page 20

Fatima wants to mail three parcels to three village schools. She finds that the postal charges are Rs 20, Rs 28 and Rs 36, respectively. If she wants to buy stamps only of one denomination, what is the greatest denomination of stamps she must buy to mail the three parcels?

Exercise | Q 194 | Page 20

Three brands A, B and C of biscuits are available in packets of 12, 15 and 21 biscuits respectively. If a shopkeepeer wants to buy an equal number of biscuits, of each brand, what is the minimum number of packets of each brand, he should buy?

Exercise | Q 195 | Page 20

The floor of a room is 8 m 96 cm long and 6 m 72 cm broad. Find the minimum number of square tiles of the same size needed to cover the entire floor.

Exercise | Q 196 | Page 20

In a school library, there are 780 books of English and 364 books of Science. Ms. Yakang, the librarian of the school wants to store these books in shelves such that each shelf should have the same number of books of each subject. What should be the minimum number of books in each shelf?

Exercise | Q 197 | Page 20

In a colony of 100 blocks of flats numbering 1 to 100, a school van stops at every sixth block while a school bus stops at every tenth block. On which stops will both of them stop if they start from the entrance of the colony?

Exercise | Q 198.(a) | Page 20

Test the divisibility of following numbers by 11

5335

Exercise | Q 198.(b) | Page 20

Test the divisibility of following numbers by 11

9020814

Exercise | Q 199.(a) | Page 20

Using divisibility tests, determine which of the following numbers are divisible by 4?

4096

Exercise | Q 199.(b) | Page 20

Using divisibility tests, determine which of the following numbers are divisible by 4?

21084

Exercise | Q 199.(c) | Page 20

Using divisibility tests, determine which of the following numbers are divisible by 4?

31795012

Exercise | Q 200.(a) | Page 20

Using divisibility test, determine which of the following numbers are divisible by 9?

672

Exercise | Q 200.(b) | Page 20

Using divisibility test, determine which of the following numbers are divisible by 9?

5652

Exercise

## NCERT solutions for Mathematics Exemplar Class 6 chapter 1 - Number System

NCERT solutions for Mathematics Exemplar Class 6 chapter 1 (Number System) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics Exemplar Class 6 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Mathematics Exemplar Class 6 chapter 1 Number System are Introduction to Knowing Our Numbers, Comparing Numbers, Compare Numbers in Ascending and Descending Order, Compare Number by Forming Numbers from a Given Digits, Compare Numbers by Shifting Digits, Introducing a 5 Digit Number - 10,000, Revisiting Place Value of Numbers, Expansion Form of Numbers, Introducing the Six Digit Number - 1,00,000, Larger Number of Digits 7 and Above, An Aid in Reading and Writing Large Numbers, Using Commas in Indian and International Number System, Round off and Estimation of Numbers, To Estimate Sum Or Difference, Estimating Products of Numbers, Simplification of Expression by Using Brackets, BODMAS - Rules for Simplifying an Expression, Roman Numbers System and Its Application, Concept for Natural Numbers, Concept for Whole Numbers, Successor and Predecessor of Whole Number, Operation of Whole Numbers on Number Line, Properties of Whole Numbers, Closure Property of Whole Number, Associativity Property of Whole Numbers, Division by Zero, Commutativity Property of Whole Number, Distributivity Property of Whole Numbers, Identity of Addition and Multiplication of Whole Numbers, Patterns in Whole Numbers, Arranging the Objects in Rows and Columns, Factors and Multiples, Concept of Perfect Number, Concept of Prime Numbers, Concept of Co-prime Number, Concept of Twin Prime Numbers, Concept of Even and Odd Number, Concept of Composite Number, Concept of Sieve of Eratosthenes, Tests for Divisibility of Numbers, Divisibility by 10, Divisibility by 5, Divisibility by 2, Divisibility by 3, Divisibility by 6, Divisibility by 4, Divisibility by 8, Divisibility by 9, Divisibility by 11, Common Factor, Common Multiples, Some More Divisibility Rules, Prime Factorisation, Highest Common Factor, Lowest Common Multiple.

Using NCERT Class 6 solutions Number System exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 6 prefer NCERT Textbook Solutions to score more in exam.

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