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

True or False Questions

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

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

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

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

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

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

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

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

The number LIV is greater than LVI.

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

85764 rounded off to nearest hundreds is 85700.

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

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

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

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

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

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

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

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

Every whole number has its successor.

Every whole number has its predecessor.

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

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

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

Natural numbers are closed under addition.

Natural numbers are not closed under multiplication.

Natural numbers are closed under subtraction.

Addition is commutative for natural numbers.

1 is the identity for addition of whole numbers.

1 is the identity for multiplication of whole numbers.

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

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

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

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

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

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

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

The number of multiples of a given number is finite.

Every number is a multiple of itself.

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

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

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

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

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

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

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

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

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

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

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

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

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

Every whole number is the successor of another whole number.

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

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

Any two consecutive numbers are coprime.

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

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

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

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