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All questions of Whole Numbers for Class 5 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.

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).

Which of the following is not equal to zero?
  • a)
    (5 - 0) ÷ 5
  • b)
    (10 - 10) ÷ 5
  • c)
    0 ÷ 5
  • d)
    0 × 5
Correct answer is option 'A'. Can you explain this answer?

Charvi Chauhan answered
Understanding the Options
To determine which option is not equal to zero, let's analyze each one step by step.
Option A: (5 - 0) ÷ 5
- Calculation:
- 5 - 0 = 5
- 5 ÷ 5 = 1
- Result: This equals 1, which is not zero.
Option B: (10 - 10) ÷ 5
- Calculation:
- 10 - 10 = 0
- 0 ÷ 5 = 0
- Result: This equals 0.
Option C: 0 ÷ 5
- Calculation:
- 0 ÷ 5 = 0
- Result: This equals 0.
Option D: 0 × 5
- Calculation:
- 0 × 5 = 0
- Result: This equals 0.
Conclusion
- The only option that does not equal zero is Option A: (5 - 0) ÷ 5, which equals 1.
- All other options (B, C, and D) result in zero.
Therefore, the correct answer is indeed Option A. This exercise helps reinforce the understanding of basic arithmetic operations and their outcomes.

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?

Coachify answered
Answer: b) 15
Explanation: The first five whole numbers are 0, 1, 2, 3, and 4. Their sum is 0 + 1 + 2 + 3 + 4 = 15.

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 successor of 100199 is
  • a)
    100199
  • b)
    100200
  • c)
    101000
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Anirban Saini answered
Understanding Successors
The concept of a successor in mathematics refers to the number that comes directly after a given number. In this case, we are looking for the successor of the number 100199.
Finding the Successor
To find the successor:
- Add 1 to the number: The rule for finding a successor is simple. You just need to add 1 to the number in question.
- Calculation:
- 100199 + 1 = 100200
Thus, the successor of 100199 is 100200.
Options Analysis
Let's analyze the provided options to confirm the correct answer:
- Option a: 100199 - This is the original number, not the successor.
- Option b: 100200 - This is the correct answer, as it is the result of adding 1 to 100199.
- Option c: 101000 - This number is significantly larger and not the direct successor.
- Option d: none of these - This is incorrect as we have identified the correct successor.
Conclusion
The correct answer is indeed option 'B', which is 100200. By understanding the concept of successors and applying the simple addition rule, we can easily determine the number that follows any given integer.

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.

Which of the following is the smallest whole number?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Get Idea answered
Whole numbers include all non-negative integers starting from 0. They are defined as:
  • 0
  • 1
  • 2
  • 3
  • 4
  • 5
  • and so on.
This makes 0 the smallest whole number.

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.

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 product of the predecessor and the successor of the greatest 2-digit number is
  • a)
    9800
  • b)
    9700
  • c)
    none of these
  • d)
    9900
Correct answer is option 'A'. Can you explain this answer?

Sneha Rane answered
Understanding the Problem
To solve the problem, we first need to identify the greatest two-digit number.
Step 1: Identify the Greatest Two-Digit Number
- The greatest two-digit number is 99.
Step 2: Determine the Predecessor and Successor
- The predecessor of 99 is 98 (99 - 1).
- The successor of 99 is 100 (99 + 1).
Step 3: Calculate the Product
Now, we need to find the product of the predecessor and the successor:
- Predecessor (98) × Successor (100)
Step 4: Perform the Multiplication
- 98 × 100 = 9800
Conclusion
The product of the predecessor and the successor of the greatest two-digit number (99) is indeed 9800.
Thus, the correct answer is option 'A'.

The value of (93 × 63 + 93 × 37) is
  • a)
    9300
  • b)
    93000
  • c)
    none of these
  • d)
    930
Correct answer is option 'A'. Can you explain this answer?

Understanding the Expression
The expression we need to evaluate is (93 × 63 + 93 × 37). This can be simplified using the distributive property of multiplication.
Applying the Distributive Property
The distributive property states that a(b + c) = ab + ac. We can factor out the common term (93) from both parts of the expression:
- 93 × (63 + 37)
Calculating the Sum Inside the Parentheses
Next, we calculate the sum inside the parentheses:
- 63 + 37 = 100
Substituting Back into the Expression
Now, we substitute this sum back into our expression:
- 93 × (100)
Final Calculation
Finally, we multiply:
- 93 × 100 = 9300
Conclusion
Thus, the value of (93 × 63 + 93 × 37) is 9300. Therefore, the correct answer is option 'A'.

5 added to the smallest 6-digit number gives
  • a)
    1005
  • b)
    10005
  • c)
    1000005
  • d)
    100005
Correct answer is option 'D'. Can you explain this answer?

Get Idea answered
The smallest 6-digit number is 100000. Adding 5 to this number results in:
  • 100000 + 5 = 100005
Therefore, the correct answer is D.

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

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 predecessor of the smallest 4-digit number is
  • a)
    999
  • b)
    1000
  • c)
    1001
  • d)
    99
Correct answer is option 'A'. Can you explain this answer?

Understanding the Concept of Predecessor
The predecessor of a number is the number that comes immediately before it. This concept is essential in understanding the sequence of numbers, especially when dealing with whole numbers.
Identifying the Smallest 4-Digit Number
- The smallest 4-digit number is 1000.
- A 4-digit number is defined as any number from 1000 to 9999.
Finding the Predecessor
- To find the predecessor of 1000, we simply subtract 1 from it.
- Therefore, the calculation is: 1000 - 1 = 999.
Understanding the Options
- a) 999
- b) 1000 (This is the number itself, not the predecessor)
- c) 1001 (This is the successor, not the predecessor)
- d) 99 (This is not related to 1000 as it falls outside the 4-digit range)
Conclusion
- The correct answer is indeed option A: 999.
- This is because 999 is the number that comes right before the smallest 4-digit number, 1000.
Understanding these concepts helps in grasping number sequences, which is vital in mathematics.

Which of the following statement is true?
  • a)
    13 - 21 is not a whole number
  • b)
    21 × 1 = 21 × 0
  • c)
    21 - 13 is not a whole number
  • d)
    21 – (13 - 5) = (21 - 13) - 5
Correct answer is option 'A'. Can you explain this answer?

Get Idea answered
Whole numbers are non-negative integers (e.g., 0, 1, 2, ...).
  • For option A: 13 - 21 = -8, which is not a whole number. Therefore, statement A is true.
  • Option B: 21 × 1 = 21 and 21 × 0 = 0. Since 21 ≠ 0, statement B is false.
  • Option C: 21 - 13 = 8, which is a whole number. Therefore, statement C is false.
  • Option D:
    • Left side: 21 - (13 - 5) = 21 - 8 = 13;
    • Right side: (21 - 13) - 5 = 8 - 5 = 3.
    Since 13 ≠ 3, statement D is false.
Thus, the correct answer is A.

 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?

Dr Manju Sen answered
We know that the predecessor of an odd number is an even number and the successor of an odd number is also an even number.
So the two even numbers and their product are two consecutive even numbers which is always divisible by 8.

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".

The sum of the successor of the greatest 3-digit number and the predecessor of the smallest 3-digit number is
  • a)
    1099
  • b)
    1101
  • c)
    1100
  • d)
    1000
Correct answer is option 'A'. Can you explain this answer?

Coders Trust answered
The greatest 3-digit number is 999; its successor is 999 + 1 = 1000.
The smallest 3-digit number is 100; its predecessor is 100 − 1=99.
The sum is 1000 + 99 = 1099.

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.

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?

Coders Trust answered
To find the number of whole numbers between the smallest whole number and the greatest 2-digit number, we can follow these steps:
  • The smallest whole number is 0.
  • The greatest 2-digit number is 99.
  • To find the numbers between 0 and 99, we count from 1 to 98.
  • This gives us a total of 98 whole numbers.
Therefore, the number of whole numbers between the smallest whole number and the greatest 2-digit number is 98.
.
 

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