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).

Question. 39

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

Answer:

true

Open

Question. 40

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

Answer:

true

Open

Question. 41

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

Answer:

true

Open

Question. 42

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

Answer:

true

Open

Question. 43

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

Answer:

false

Open

Question. 44

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

Answer:

true

Open

Question. 45

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

Answer:

false

Open

Question. 46

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

Answer:

true

Open

Question. 47

The number LIV is greater than LVI.

Answer:

false

Open

Question. 48

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

Answer:

false

Open

Question. 49

85764 rounded off to nearest hundreds is 85700.

Answer:

false

Open

Question. 50

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

Answer:

false

Open

Question. 51

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

Answer:

false

Open

Question. 52

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

Answer:

false

Open

Question. 53

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

Answer:

true

Open

Question. 54

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

Answer:

false

Open

Question. 55

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

Answer:

false

Open

Question. 56

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

Answer:

false

Open

Question. 57

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

Answer:

false

Open

Question. 58

Every whole number has its successor.

Answer:

true

Open

Question. 59

Every whole number has its predecessor.

Answer:

false

Open

Question. 60

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

Answer:

false

Open

Question. 61

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

Answer:

true

Open

Question. 62

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

Answer:

true

Open

Question. 63

Natural numbers are closed under addition.

Answer:

true

Open

Question. 64

Natural numbers are not closed under multiplication.

Answer:

false

Open

Question. 65

Natural numbers are closed under subtraction.

Answer:

false

Open

Question. 66

Addition is commutative for natural numbers.

Answer:

true

Open

Question. 67

1 is the identity for addition of whole numbers.

Answer:

false

Open

Question. 68

1 is the identity for multiplication of whole numbers.

Answer:

true

Open

Question. 69

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

Answer:

true

Open

Question. 70

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

Answer:

false

Open

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

Open

Question. 72

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

Answer:

true

Open

Question. 73

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

Answer:

false

Open

Question. 74

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

Answer:

true

Open

Question. 75

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

Answer:

false

Open

Question. 76

The number of multiples of a given number is finite.

Answer:

false

Open

Question. 77

Every number is a multiple of itself.

Answer:

true

Open

Question. 78

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

Answer:

true

Open

Question. 79

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

Answer:

true

Open

Question. 80

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

Answer:

false

Open

Question. 81

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

Answer:

false

Open

Question. 82

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

Answer:

false

Open

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

Open

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

Open

Question. 85

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

Answer:

true

Open

Question. 86

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

Answer:

false

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Question. 87

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

Answer:

true

Open

Question. 88

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

Answer:

false

Open

Question. 89

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

Answer:

true

Open

Question. 90

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

Answer:

true

Open

Question. 91

Every whole number is the successor of another whole number.

Answer:

false

Open

Question. 92

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

Answer:

false

Open

Question. 93

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

Answer:

true

Open

Question. 94

Any two consecutive numbers are coprime.

Answer:

true

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Question. 95

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

Answer:

true

Open

Question. 96

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

Answer:

false

Open

Question. 97

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

Answer:

false

Open

Question. 98

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

Answer:

true

Open

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