All questions of Whole Numbers for CTET & State TET Exam

There are 29 whole numbers between 38 and 68.

= 42x

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).

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 − 0) ÷ 5 = 5 ÷ 5 = 1, which is not zero. The other options result in 0.

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.

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.

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'.

Using the formula
Number = Divisor × Quotient + Remainder, we get 9 × 47 + 5 = 428.

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'.

Understanding the Smallest 6-Digit Number
The smallest 6-digit number is 100000. It is important to know this before we perform any calculations.
Calculation of Adding 5
Now, we need to add 5 to this smallest 6-digit number:
- 100000 + 5 = 100005
Choosing the Correct Option
Now, let's look at the options provided:
- a) 1005
- b) 10005
- c) 1000005
- d) 100005
From our calculation, we see that 100005 is the result of adding 5 to the smallest 6-digit number.
Conclusion
Thus, the correct answer is option 'D', which is 100005. This confirms that adding 5 to 100000 indeed results in 100005, making it the only valid choice among the options given.
This step-by-step breakdown helps understand the process and the reasoning behind selecting the correct 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 Concept of 3-Digit Numbers
A 3-digit number is defined as a number that contains three digits, ranging from 100 to 999. Each digit contributes to the value of the number based on its position (hundreds, tens, and units).
Understanding the Options
Let's examine the provided options to identify the largest 3-digit number:

• a) 100: This is the smallest 3-digit number.
• b) 999: This is the largest 3-digit number.
• c) 101: This is a 3-digit number, but smaller than 999.
• d) none of these: This implies that none of the previous options are correct.

Comparison of the Options
To determine the largest 3-digit number:

• 100 is the minimum threshold for 3-digit numbers.
• 101 is slightly larger than 100 but still far from the maximum.
• 999 stands out as it is the highest possible value for any 3-digit number.

Conclusion
Based on our analysis, option b) 999 is indeed the largest 3-digit number. It surpasses all other options provided, confirming that it is the correct answer. Understanding these fundamentals helps in recognizing the numerical hierarchy effectively.

In the whole number system, the sequence starts from 0. Therefore, 0 has no predecessor.