NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System
True or False Questions

In questions 39 to 98 state whether the given statements are true (T) or false (F).

Quick Links to Questions

Question. 39

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

Answer:

true

Question. 40

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

Answer:

true

Question. 41

\(5555=5\times1000+5\times100+5\times10+5\times1\).

Answer:

true

Question. 42

\(39746=3\times10000+9\times1000+7\times100+4\times10+6\).

Answer:

true

Question. 43

\(82546=8\times1000+2\times1000+5\times100+4\times10+6\).

Answer:

false

Question. 44

\(532235=5\times100000+3\times10000+2\times1000+2\times100+3\times10+5\).

Answer:

true

Question. 45

\(\text{XXIX}=31\).

Answer:

false

Question. 46

\(\text{LXXIV}=74\).

Answer:

true

Question. 47

The number LIV is greater than LVI.

Answer:

false

Question. 48

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

Answer:

false

Question. 49

85764 rounded off to nearest hundreds is 85700.

Answer:

false

Question. 50

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

Answer:

false

Question. 51

The largest six-digit number using digits 5,3,4,7,0,8 once each is 875403.

Answer:

false

Question. 52

81652318 is read as eighty one crore six lakh fifty two thousand three hundred eighteen.

Answer:

false

Question. 53

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

Answer:

true

Question. 54

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

Answer:

false

Question. 55

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

Answer:

false

Question. 56

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

Answer:

false

Question. 57

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

Answer:

false

Question. 58

Every whole number has its successor.

Answer:

true

Question. 59

Every whole number has its predecessor.

Answer:

false

Question. 60

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

Answer:

false

Question. 61

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

Answer:

true

Question. 62

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

Answer:

true

Question. 63

Natural numbers are closed under addition.

Answer:

true

Question. 64

Natural numbers are not closed under multiplication.

Answer:

false

Question. 65

Natural numbers are closed under subtraction.

Answer:

false

Question. 66

Addition is commutative for natural numbers.

Answer:

true

Question. 67

1 is the identity for addition of whole numbers.

Answer:

false

Question. 68

1 is the identity for multiplication of whole numbers.

Answer:

true

Question. 69

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

Answer:

true

Question. 70

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

Answer:

false

Question. 71

If a whole number is divided by another whole number greater than the first one, the quotient is not equal to 0.

Answer:

false

Question. 72

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

Answer:

true

Question. 73

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

Answer:

false

Question. 74

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

Answer:

true

Question. 75

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

Answer:

false

Question. 76

The number of multiples of a given number is finite.

Answer:

false

Question. 77

Every number is a multiple of itself.

Answer:

true

Question. 78

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

Answer:

true

Question. 79

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

Answer:

true

Question. 80

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

Answer:

false

Question. 81

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

Answer:

false

Question. 82

A number (≥3 digits) is divisible by 6 if its last two digits form a number divisible by 6.

Answer:

false

Question. 83

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

Answer:

true

Question. 84

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

Answer:

false

Question. 85

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

Answer:

true

Question. 86

The HCF of two or more numbers is greater than their LCM.

Answer:

false

Question. 87

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

Answer:

true

Question. 88

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

Answer:

false

Question. 89

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

Answer:

true

Question. 90

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

Answer:

true

Question. 91

Every whole number is the successor of another whole number.

Answer:

false

Question. 92

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

Answer:

false

Question. 93

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

Answer:

true

Question. 94

Any two consecutive numbers are coprime.

Answer:

true

Question. 95

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

Answer:

true

Question. 96

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

Answer:

false

Question. 97

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

Answer:

false

Question. 98

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

Answer:

true
NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – True or False Questions | Detailed Answers