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Test: Playing With Numbers - Class 6 MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 6 - Test: Playing With Numbers

Test: Playing With Numbers for Class 6 2024 is part of Mathematics (Maths) Class 6 preparation. The Test: Playing With Numbers questions and answers have been prepared according to the Class 6 exam syllabus.The Test: Playing With Numbers MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Playing With Numbers below.
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Test: Playing With Numbers - Question 1

Which of the following is the smallest prime number?

Detailed Solution for Test: Playing With Numbers - Question 1
  • Prime numbers are the positive integers having only two factors, 1 and the integer itself.
  • Any number which does not follow this is termed as composite numbers.
  • The smallest prime number as defined by modern mathematicians is 2.
Test: Playing With Numbers - Question 2

The only prime number which is also even is

Detailed Solution for Test: Playing With Numbers - Question 2
  • 2 is the only even Prime Number.
  • More interesting fact is that 2 is the smallest prime number.
  • Many of us has the misconception that 1 is the smallest prime number, but as per standard definition of prime number “A number which has 2 factors 1 and itself is said to be a prime number.”
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Test: Playing With Numbers - Question 3

The sum of two odd and one even numbers is

Detailed Solution for Test: Playing With Numbers - Question 3

To determine the sum of two odd numbers and one even number, we can use the properties of odd and even numbers:

  • An odd number can be represented as 2m+1 where m is an integer.
  • An even number can be represented as 2n where n is an integer.
Test: Playing With Numbers - Question 4

The smallest composite number is

Detailed Solution for Test: Playing With Numbers - Question 4

In mathematics, composite numbers also known as composites in Mathematics are numbers that have more than 2 factors, not like prime numbers that have only one factor, i.e. 1 and the number itself. Composite numbers are all natural numbers that are not prime numbers since they can be divided by more than two numbers.

Therefore

  • The smallest composite number is 4. The smallest composite number of 2 digits is 10.
  • 4 is a composite number because there are 2 variables. One is 1 × 4 = 4 and the other is 2 × 2= 4.
Test: Playing With Numbers - Question 5

Tell the maximum number of consecutive numbers less than 100 so that there is no prime number between them.

Detailed Solution for Test: Playing With Numbers - Question 5

To determine the maximum number of consecutive numbers less than 100 with no prime numbers between them, we need to identify a sequence of consecutive composite numbers.

The longest sequence of consecutive composite numbers less than 100 is from 90 to 96:

  • 90 (composite)
  • 91 (composite)
  • 92 (composite)
  • 93 (composite)
  • 94 (composite)
  • 95 (composite)
  • 96 (composite)

This sequence has 7 consecutive composite numbers, meaning there is no prime number in this range.

So, the correct answer is:

3. 7

Test: Playing With Numbers - Question 6

If a number is divisible by 2 and 3 both then is divisible by

Detailed Solution for Test: Playing With Numbers - Question 6

A number is divisible by 6 if the number is divisible by both 2 and 3.

Test: Playing With Numbers - Question 7

Which of the following number is divisible by 3?

Detailed Solution for Test: Playing With Numbers - Question 7

A number is divisible by 3 if the sum of the digits of the number is divisible by 3(1 + 2 + 3 = 6).

Test: Playing With Numbers - Question 8

A number is divisible by 4 if its

Detailed Solution for Test: Playing With Numbers - Question 8

Whole numbers are divisible by 4 if the number formed by the last two individual digits is evenly divisible by 4.

For example, the number formed by the last two digits of the number 3628 is 28, which is evenly divisible by 4 so the number 3628 is evenly divisible by 4.

Test: Playing With Numbers - Question 9

Two numbers having only 1 as common factor are called

Detailed Solution for Test: Playing With Numbers - Question 9
  • Co-prime numbers are two numbers that have no common factors other than 1.
  • For example, 8 and 15 are co-prime because their only common factor is 1.
  • This property is important in various mathematical concepts, including fractions and number theory.
  • In contrast, odd numbers, prime numbers, and composite numbers can share common factors, which disqualifies them from being co-prime.
Test: Playing With Numbers - Question 10

If a number is divisible by 10, then which of the following can be its ones digit?

Detailed Solution for Test: Playing With Numbers - Question 10

A number is divisible by 10, if its ones digit is 0.
A number is divisible by 5, if its ones digit is 0 or 5.

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