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NCERT Exemplar · Class 6 · Maths

Chapter 1: Number System

Practice each question, then open the answer or worked solution.

Questions

100 questions
Q91Written answer

Every whole number is the successor of another whole number.

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Worked solution

Solution:-

False.

We know that, 0 is the whole number.

0 is no the successor of another whole number.

Q92Written answer

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

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Worked solution

Solution:-

False.

For example:-

2 + 3 = 5

2 × 3 = 6

From the above example, we can say that sum of two whole numbers is not always less than their product.

Q93Written answer

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

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Worked solution

Solution:-

True.

Consider the two odd numbers 2 and 5.

Then, sum = 2 + 5 = 7 it is an odd number.

Now, difference = 2 – 5 = 3 it also an odd number.

Q94Written answer

Any two consecutive numbers are coprime.

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Worked solution

Solution:-

True.

Co-prime number is a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1. Co-prime numbers are also known as relatively prime or mutually prime numbers. It is important that there should be two numbers in order to form co-primes.

Q95Written answer

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

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Worked solution

Solution:-

True.

Q96Written answer

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

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Solution:-

False.

The HCF of two numbers is either greater than or equal to the smaller of the numbers.

Q97Written answer

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

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Solution:-

False.

The LCM of two numbers may be equal to or greater than the larger of the numbers.

Q98Written answer

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

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Worked solution

Solution:-

True.

In questions 99 to 151, fill in the blanks to make the statements true.

Q99Written answer

(a) 10 million = _____ crore.

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Solution:-

10 million = 1 crore

We know that, 1 million = 10 lakh

Then, 10 million = 10 × 10 = 100 lakh = 1,00,00,000

Therefore, 10 million = 1 crore.

(b) 10 lakh = _____ million.

Solution:-

10 lakh = 1 million.

Q100Written answer

(a) 1 metre = _____ millimetres.

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Worked solution

Solution:-

1 metre = 1000millimetres

We know that, 1 metre = 100 centimetre

1 centimetre = 10 millimeter

Then, 100 cm = 10 × 100 = 1000 millimetres

(b) 1 centimetre = _____ millimetres.

Solution:-

1 centimetre = 10 millimetres.

(c) 1 kilometre = _____ millimetres.

Solution:-

1 kilometre = 10,00,000 millimetres.

We know that, 1 km = 1000 meters.

1 metre = 100 centimetre

1000 metre = 1000 × 100

= 1,00,000 centimetre

1 cm = 10 millimetres

Then, 1,00,000 centimetre = 10 × 1,00,000 = 10,00,000 millimetres