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All questions of Whole Numbers for Class 6 Exam

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.

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.

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.

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.

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'.

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 whole number which does not have a predecessor in the whole number system is
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Shubham Gupta answered
Understanding Whole Numbers
Whole numbers are the set of numbers that include all the natural numbers along with zero. The set of whole numbers is represented as {0, 1, 2, 3, ...} and so on.
What is a Predecessor?
A predecessor is a number that comes just before another number in a sequence. For instance:
  • The predecessor of 1 is 0.
  • The predecessor of 2 is 1.
  • The predecessor of 3 is 2.

Why 0 is Special?
In the context of whole numbers:
  • 0 is the smallest whole number.
  • There is no whole number that comes before 0.
  • Thus, 0 does not have a predecessor in the whole number system.

Conclusion
Since 0 is the smallest whole number and does not have a predecessor, the correct answer to the question is option 'A'.
  • 0 is unique in the whole number system.
  • It serves as the starting point for counting.

In summary, the whole number that does not have a predecessor in the whole number system is indeed 0.

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.

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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