NCERT Exemplar Solutions - Mathematics - class 6 solutions for Chapter 1 Number System

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

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

When rounded off to nearest thousands, the number 85642 is

(A) 85600

(B) 85700

(C) 85000

(D) 86000

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

(A) 9652

(B) 9562

(C) 9659

(D) 9965

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

(A) 58,69, 53, 76

(B) 58,695,376

(C) 5,86,95,376

(D) 586,95,376

One million is equal to

(A) 1 lakh

(B) 10 lakh

(C) 1 crore

(D) 10 crore

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

(A) 5001

(B) 5559

(C) 5999

(D) 5499

The product of successor and predecessor of 999 is

(A) 999000

(B) 998000

(C) 989000

(D) 1998

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

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

(A) 0

(B) 25

(C) 50

(D) 75

Which of the following is not true?

(A) (7 + 8) + 9 = 7 + (8 + 9)

(B) (7 × 8) × 9 = 7 × (8 × 9)

(C) 7 + 8 × 9 = (7 + 8) × (7 + 9)

(D) 7 × (8 + 9) = (7 × 8) + (7 × 9)

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? (A) 9

(B) 10

(C) 11

(D) 12

The predecessor of 1 lakh is

(A) 99000

(B) 99999

(C) 999999

(D) 100001

The successor of 1 million is

(A) 2 millions

(B) 1000001

(C) 100001

(D) 10001

Number of even numbers between 58 and 80 is

(A) 10

(B) 11

(C) 12

(D) 13

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

(A) 20

(B) 18

(C) 17

(D) 16

Which of the following statements is not true?

(A) The HCF of two distinct prime numbers is 1

(B) The HCF of two co prime numbers is 1

(C) The HCF of two consecutive even numbers is 2

(D) The HCF of an even and an odd number is even.

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

(A) 2

(B) 3

(C) 5

(D) 11

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

(A) 2

(B) 4

(C) 6

(D) 8

If the number 725498 is divisible by 22, the digit at is

(A) 1

(B) 2

(C) 6

(D) 0

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

(A) 2

(B) 4

(C) 6

(D) 8

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

(A) 10

(B) 15

(C) 30

(D) 60

The sum of the prime factors of 1729 is

(A) 13

(B) 19

(C) 32

(D) 39

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

(A) 6

(B) 4

(C) 16

(D) 8

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

(A) 2

(B) 3

(C) 4

(D) 5

Which of the following pairs is not coprime?

(A) 8, 10

(B) 11, 12

(C) 1, 3

(D) 31, 33

Which of the following numbers is divisible by 11?

(A) 1011011

(B) 1111111

(C) 22222222

(D) 3333333

LCM of 10, 15 and 20 is

(A) 30

(B) 60

(C) 90

(D) 180

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

(A) 45

(B) 60

(C) 75

(D) 90

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

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

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

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

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

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

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

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

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

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

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

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

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

XXIX = 31

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

LXXIV = 74

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

The number LIV is greater than LVI

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Every whole number has its successor.

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

Every whole number has its predecessor.

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

Between any two natural numbers, there is one natural number

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

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

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

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

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

Natural numbers are closed under addition.

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

Natural numbers are not closed under multiplication.

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

Natural numbers are closed under subtraction.

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

Addition is commutative for natural numbers.

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

1 is the identity for addition of whole numbers.

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

1 is the identity for multiplication of whole numbers.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The number of multiples of a given number is finite.

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

Every number is a multiple of itself.

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Every whole number is the successor of another whole number.

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

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

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

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

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

Any two consecutive numbers are coprime.

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

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

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

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

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

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

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

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

(a) 10 million = _____ crore.

(b) 10 lakh = _____ million.

fill in the blanks to make the statements true.

(a) 1 metre = _____ millimetres.

(b) 1 centimetre = _____ millimetres.

(c) 1 kilometre = _____ millimetres.

Ncert exemplar solutions mathematics class 6 Solutions for Chapter 1 number system