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All questions of Whole Numbers for Class 6 Exam

Which is the whole number that does not have a predecessor?
  • a)
    100
  • b)
    0
  • c)
    1
  • d)
    9
Correct answer is option 'B'. Can you explain this answer?

Gayatri Roy answered
Whole number 0 does not have a predecessor. because, every number smaller than zero are categorised in negative numbers and not whole number.
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Which of the following is a correct statement if N= natural number and W = whole number?
  • a)
    W is a part of N
  • b)
    N is a part of W
  • c)
    N is approximately equal to W
  • d)
    N is equal to W
Correct answer is option 'B'. Can you explain this answer?

Amar Kumar answered
Integers include 0 and the opposites (negatives) of natural numbers, and whole numbers include 0 while natural numbers do not. The result is that natural numbers are a subset of whole numbers which are in turn a subset of integers which you correctly categorized as a subset of rational numbers.

What is the additive identity element of 24?
  • a)
    -24
  • b)
    1
  • c)
    0
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Varun Kapoor answered
Solution:
The correct option is C 0.0
An element, which when added to a given element, leaves the given element unchanged, is called its additive identity.
Zero is the additive identity for all the real numbers.
For example, 24+0=24.

Which property is represented by a + b = c (a whole number) with respect to addition?
  • a)
    Associative property.
  • b)
    Commutative property.
  • c)
    Closure property.
  • d)
    Additive identity.
Correct answer is option 'C'. Can you explain this answer?

Komal patil answered
Closure Property: The closure property means that a set is closed for some mathematical operation. For example, the set of even natural numbers, [2, 4, 6, 8, . . .], is closed with respect to addition because the sum of any two of them is another even natural number, which is also a member of the set.

Which of the following statements is true?
  • a)
    Every whole number is a natural number.
  • b)
    Every natural number is a whole number.
  • c)
    1 is the least whole number.
  • d)
    0 is the greatest whole number.
Correct answer is option 'B'. Can you explain this answer?

Shubham Gupta answered
Explanation:


The statement "Every natural number is a whole number" is true. Let's understand why by exploring the definitions of natural numbers and whole numbers.

Natural Numbers:


Natural numbers are the counting numbers that start from 1 and go on infinitely. They are also known as positive integers. In other words, natural numbers are the numbers we use for counting or ordering objects. The set of natural numbers is denoted by N.

Whole Numbers:


Whole numbers are the numbers that include zero along with the natural numbers. They are obtained by adding zero to the set of natural numbers. The set of whole numbers is denoted by W.

Understanding the Statements:


a) Every whole number is a natural number.
This statement is false. While every natural number is a whole number, not every whole number is a natural number. Whole numbers include zero, which is not a natural number.

b) Every natural number is a whole number.
This statement is true. Since whole numbers include zero along with the natural numbers, every natural number is also a whole number.

c) 1 is the least whole number.
This statement is false. Zero is the least whole number because it is the starting point of the set of whole numbers.

d) 0 is the greatest whole number.
This statement is false. Whole numbers go on infinitely, so there is no greatest whole number. Zero is the starting point of whole numbers, but there is no end or greatest whole number.

Conclusion:


Based on the definitions of natural numbers and whole numbers, the true statement is that every natural number is a whole number (option B).

Find the smallest 6-digit number that can be formed by the digits 9, 6, 0, 5, 8 and 1.
  • a)
    0, 15, 689
  • b)
    1, 05, 689
  • c)
    5, 01, 689
  • d)
    9, 86, 510
Correct answer is option 'B'. Can you explain this answer?

Akshita Basu answered
To form the smallest number (without repetition of digits) from the given digits, write them in ascending order and place commas after periods. Remember that a number cannot start with 0 in the leftmost place.

3 x 10000 + 7 x 1000 + 9 x 100 + 0 x10 + 4 is the same as
  • a)
    3794         
  • b)
    37940       
  • c)
    37904       
  • d)
    379409
Correct answer is option 'C'. Can you explain this answer?

Anisha Iyer answered
Solution:

To solve this problem, we have to multiply each digit by its corresponding place value and then add the products together.

The given expression can be written as:

3 x 10000 + 7 x 1000 + 9 x 100 + 0 x 10 + 4

Multiplying each digit by its place value, we get:

30,000 + 7,000 + 900 + 0 + 4

Adding these products together, we get:

37,904

Therefore, the correct answer is option 'C'.

The number of whole numbers between the smallest whole number and the greatest 2-digit number is
  • a)
    98
  • b)
    88
  • c)
    99
  • d)
    100
Correct answer is option 'A'. Can you explain this answer?

Dr Manju Sen answered
The smallest whole number is 0, and the greatest 2-digit number is 99. Whole numbers between them are from 1 to 98.
Count: 99 - 0 - 1 = 98.
  • Start with 99−0:
    Subtract the smallest whole number (0) from the greatest 2-digit number (99), which gives 99.
    This step counts all whole numbers from 0 to 99, inclusive.
  • Subtract 1:
    To exclude both the smallest whole number (0) and the greatest 2-digit number (99) from the total count, we subtract 1 for 0 and another 1 for 99. Hence, we subtract 1.

What is the sum of the first five whole numbers?
  • a)
    10
  • b)
    15
  • c)
    20
  • d)
    25
Correct answer is option 'B'. Can you explain this answer?

Ashwin Chauhan answered
Understanding Whole Numbers
Whole numbers are the set of numbers that include zero and all the positive integers. The first five whole numbers are:
- 0
- 1
- 2
- 3
- 4
Calculating the Sum
To find the sum of the first five whole numbers, we add them together:
- 0 + 1 + 2 + 3 + 4
Now, let's break it down step-by-step:
- Start with 0:
0 + 1 = 1
- Add 2:
1 + 2 = 3
- Add 3:
3 + 3 = 6
- Finally, add 4:
6 + 4 = 10
Thus, the sum of the first five whole numbers is 10.
Answer Options Analysis
Looking at the answer options provided:
- a) 10
- b) 15
- c) 20
- d) 25
The correct sum we calculated is 10, which matches option 'a'. However, it seems there might be a misunderstanding, as the correct answer is indeed option 'a' based on our calculation.
Conclusion
The sum of the first five whole numbers (0 + 1 + 2 + 3 + 4) is 10, and not 15. Therefore, option 'a' is the correct answer. Always double-check calculations to ensure accuracy!

When 578 is subtracted from the smallest 5-digit number, we get
  • a)
    9422
  • b)
    9432
  • c)
    9522
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Mehul Sharma answered
Understanding the Problem
To solve the problem, we need to determine what happens when we subtract 578 from the smallest 5-digit number.
Smallest 5-Digit Number
- The smallest 5-digit number is 10000.
Performing the Subtraction
- We will subtract 578 from 10000:
10000 - 578
Calculating the Result
- Let's perform the calculation step by step:
- Start with 10000.
- Subtract 500: 10000 - 500 = 9500.
- Subtract 70: 9500 - 70 = 9430.
- Finally, subtract 8: 9430 - 8 = 9422.
Conclusion
- Therefore, when we subtract 578 from the smallest 5-digit number (10000), we get 9422.
Options Review
- Now let's review the options given:
- a) 9422 (Correct)
- b) 9432
- c) 9522
- d) none of these
- The correct answer is option 'A': 9422.
Final Insight
- This problem illustrates basic subtraction and the significance of understanding place values, especially when dealing with large numbers like 5-digit figures.

 The product of the predecessor and successor of an odd natural number is always divisible by
  • a)
    2
  • b)
    8
  • c)
    6
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?

Pritam Kumar answered
Understanding the Problem
To solve the problem, let's define an odd natural number. An odd number can be expressed in the form of 2n + 1, where n is a natural number. The predecessor (previous number) of this odd number is 2n, and the successor (next number) is 2n + 2.
Calculating the Product
Now, we calculate the product of the predecessor and the successor:
- Predecessor: 2n
- Successor: 2n + 2
The product is:
- 2n * (2n + 2) = 2n * 2(n + 1) = 4n(n + 1)
Analyzing the Divisibility
Now, let’s analyze the expression 4n(n + 1):
- 4: This factor shows that the product is always divisible by 4.
- n(n + 1): Since n and n + 1 are two consecutive integers, one of them is always even. Therefore, their product n(n + 1) is always even.
Putting it all together:
- The product 4n(n + 1) is divisible by both 4 and 2. However, since we are looking for a larger divisor, we focus on 8.
Conclusion
- The product of the predecessor and successor of an odd natural number is indeed divisible by 8 because:
- The factor 4 guarantees divisibility by 4.
- The even nature of n(n + 1) ensures that the product is divisible by an additional 2, confirming divisibility by 8.
Thus, the correct answer is option 'B', which indicates that the product is always divisible by 8.

Number of whole numbers between 38 and 68 is
  • a)
    28
  • b)
    29
  • c)
    30
  • d)
    31
Correct answer is option 'B'. Can you explain this answer?

Palak Nambiar answered
Understanding the Problem
To find the number of whole numbers between 38 and 68, we need to focus on what "between" means. This implies we should not include the endpoints, 38 and 68, themselves.
Identifying the Range
The whole numbers we are interested in are:
- Start: 39 (the first whole number after 38)
- End: 67 (the last whole number before 68)
Counting the Whole Numbers
Now, we can count the whole numbers from 39 to 67:
- The sequence of numbers is: 39, 40, 41, ..., 67.
Calculating the Count
To find how many numbers are in this range, we can use the formula:
- Count = (Last number - First number) + 1
Plugging in our values:
- Count = (67 - 39) + 1
This simplifies to:
- Count = 28 + 1 = 29
Conclusion
Thus, the total number of whole numbers between 38 and 68 is 29. Therefore, the correct answer is option 'B'.
Summary of Steps
- Identify the starting number (39) and ending number (67)
- Count the numbers in the range
- Use the formula to calculate the total
This method ensures that you accurately find the count of whole numbers in any given range.

The successor of 1 million is
  • a)
    10001
  • b)
    100001
  • c)
    1000001
  • d)
    10000001
Correct answer is option 'C'. Can you explain this answer?

Shivam Chakraborty answered
Understanding the Successor of 1 Million
To find the successor of any number, you simply add 1 to that number. In this case, we are looking for the successor of 1 million.
What is 1 Million?
- 1 million is represented as 1,000,000 in numerical form.
Calculating the Successor
- To find the successor, we perform the following calculation:
- 1,000,000 + 1 = 1,000,001
Analyzing the Options
Now, let's look at the options provided:
- a) 10,001
- b) 100,001
- c) 1,000,001
- d) 10,000,001
Among these options, the only number that matches our calculation is:
- c) 1,000,001
Conclusion
Thus, the correct answer to the question, "What is the successor of 1 million?" is option 'C', which is 1,000,001.
This straightforward process of finding the successor can be applied to any number, making it a fundamental concept in mathematics.

The number of whole numbers between 22 and 54 is
  • a)
    31
  • b)
    32
  • c)
    42
  • d)
    30
Correct answer is option 'A'. Can you explain this answer?

Palak Nambiar answered
Understanding the Range
To find the number of whole numbers between 22 and 54, we first need to clarify what "between" means in this context. We are looking for whole numbers that are greater than 22 and less than 54.
Identifying Whole Numbers
The whole numbers between 22 and 54 include:
- 23
- 24
- 25
- ...
- 53
Counting the Whole Numbers
To count these numbers, we can use the formula for counting integers in a range:
1. Identify the starting point and endpoint:
- Starting point: 23 (the first whole number greater than 22)
- Endpoint: 53 (the last whole number less than 54)
2. Count the total numbers:
- The formula for counting whole numbers between two numbers is:
(Endpoint - Starting point) + 1
- Plugging in our numbers:
(53 - 23) + 1 = 30 + 1 = 31
Conclusion
Thus, the total number of whole numbers between 22 and 54 is 31. Therefore, the correct answer is option 'A'.
This approach shows how to systematically find the count of numbers in a given range, ensuring clarity and accuracy in the solution.

If a is a whole number such that a + a = a, then a is equal to
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Akshita Sarkar answered
Understanding the Equation
To solve the equation a + a = a, we need to simplify it.
- The left side, a + a, can be rewritten as 2a.
- Thus, our equation becomes 2a = a.
Rearranging the Equation
Now, let’s rearrange the equation to isolate a:
- Subtract a from both sides:
- 2a - a = 0
- This simplifies to a = 0.
Analyzing the Result
Now, let’s verify if a = 0 satisfies the original equation:
- Substitute a with 0 in the original equation:
- 0 + 0 = 0.
- This is a true statement.
Examining Other Options
Let’s consider the other options briefly to confirm that they do not satisfy the equation:
- If a = 1:
- 1 + 1 = 1
- This simplifies to 2 = 1, which is false.
- If a = 2:
- 2 + 2 = 2
- This simplifies to 4 = 2, which is also false.
- If a = any other whole number:
- The pattern continues, as any whole number n will lead to n + n = n simplifying to 2n = n, resulting in n = 0.
Conclusion
Thus, the only whole number that satisfies the equation a + a = a is:
- Option A: 0.
This confirms that the correct answer is indeed option 'A'.

How many whole numbers are there between 0 and 10?
  • a)
    8
  • b)
    9
  • c)
    10
  • d)
    11
Correct answer is option 'B'. Can you explain this answer?

Dr Manju Sen answered
Concept:
Counting the whole numbers within the given range.
Solution:
⇒ The sequence of whole numbers between 0 and 10 is: 1, 2, 3, 4, 5, 6, 7, 8, 9
⇒ We simply need to count these numbers.
⇒ There is 1 one. ⇒ There is 1 two. ⇒ There is 1 three. ⇒ There is 1 four. ⇒ There is 1 five. ⇒ There is 1 six. ⇒ There is 1 seven. ⇒ There is 1 eight. ⇒ There is 1 nine.
by adding all the counts, we get 9 whole numbers between 0 and 10.
Hence, the correct answer is "9".

Which of the following numbers is a prime number?
  • a)
    91
  • b)
    81
  • c)
    87
  • d)
    97
Correct answer is option 'D'. Can you explain this answer?

Dr Manju Sen answered
We know that the factors of
91 = 1 × 7 × 13
81 = 1 × 3 × 3 × 3 × 3
87 = 1 × 3 × 29
97 = 1 × 97
Hence, 81, 87 and 91 are not prime numbers.

Chapter doubts & questions for Whole Numbers - Online MCQ Tests for Class 6 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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