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All questions of Number Play for Class 6 Exam

How many 1-digit numbers exist?
  • a)
    8
  • b)
    10
  • c)
    9
  • d)
    11
Correct answer is option 'B'. Can you explain this answer?

EduRev Class 6 answered
Whole numbers from 0 to 9 are all 1-digit numbers:
→ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} = 10 numbers
If the question had asked about natural numbers, the correct answer would have been 9 (1 to 9 only).

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 represents a palindromic date?
  • a)
    02/03/2022
  • b)
    10/12/2020
  • c)
    12/02/2021
  • d)
    none of the above 
Correct answer is option 'C'. Can you explain this answer?

Praveen Kumar answered
 palindrome date is 12/02/2021.
When written in the format DD/MM/YYYY, it reads the same forwards and backwards:
12/02/202112022021 (which is the same forwards and backwards).

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.

If a number 38,800 is formed using 25,000, 13,000, and two 400s, what is the missing number?
  • a)
    400
  • b)
    300
  • c)
    500
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?

Subset Academy answered
The number 38,800 can be formed by adding 25,000, 13,000, and 800 (which is two times 400). The missing number in the equation is 800.

Which of the following numbers is a prime number?
  • a)
    27
  • b)
    29
  • c)
    39
  • d)
    49
Correct answer is option 'B'. Can you explain this answer?

Sounak Ghoshal answered
Understanding Prime Numbers
A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. This means a prime number can only be divided evenly by 1 and the number itself.
Analyzing Each Option
- Option a: 27
- Divisors: 1, 3, 9, 27
- Not prime (divisible by 3 and 9).
- Option b: 29
- Divisors: 1, 29
- Prime number (only divisible by 1 and 29).
- Option c: 39
- Divisors: 1, 3, 13, 39
- Not prime (divisible by 3 and 13).
- Option d: 49
- Divisors: 1, 7, 49
- Not prime (divisible by 7).
Conclusion
Among the given options, only 29 meets the criteria of a prime number. It has no divisors other than 1 and itself, confirming that option 'B' is indeed the correct answer. Understanding the properties of prime numbers helps in identifying them accurately.

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'.

What is the largest number that can be formed using the digits 6382?
  • a)
    8632
  • b)
    8362
  • c)
    8623
  • d)
    8236
Correct answer is option 'A'. Can you explain this answer?

Rahul Kumar answered
To form the largest number, arrange the digits in descending order. The largest number formed by 6382 is 8632.

How many digits are there in a 5-digit number?
  • a)
    4
  • b)
    5
  • c)
    6
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?

Mehul Sharma answered
Number of Digits in a 5-Digit Number

Explanation:
A 5-digit number is a number that has 5 digits in total. Let's break down the explanation further:
  • Definition of a Digit: A digit is a symbol used to represent numbers from 0 to 9.
  • Understanding Digits in Numbers: In a multi-digit number, each place value position represents a power of 10. The rightmost digit is in the ones place, the next digit to the left is in the tens place, and so on.
  • Counting the Digits: To determine the number of digits in a 5-digit number, we simply count the total number of individual digits in the number. Since a 5-digit number has 5 places, it will have a total of 5 digits.


Therefore, the correct answer to the question "How many digits are there in a 5-digit number?" is option B) 5. A 5-digit number consists of 5 individual digits, each representing a specific place value within the number.

Which of the following numbers is a supercell in the grid [45, 78, 92, 31, 20]?
  • a)
    45
  • b)
    31
  • c)
    92
  • d)
    20
Correct answer is option 'C'. Can you explain this answer?

EduRev Class 6 answered
Solution:
A supercell is a number greater than all its neighbouring cells. In the grid [45, 78, 92, 31, 60], we identify the supercell as follows:
  • For 45: Neighbour is 78 (right). Not a supercell.
  • For 78: Neighbours are 45 (left) and 92 (right). Not a supercell.
  • For 92: Neighbours are 78 (left) and 31 (right). This is a supercell.
  • For 31: Neighbours are 92 (left) and 60 (right). Not a supercell.
  • For 20: Neighbour is 31 (left). Not a supercell.
Therefore, the only supercell in the grid is 92.

In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?
  • a)
    3
  • b)
    10
  • c)
    7
  • d)
    5
Correct answer is option 'A'. Can you explain this answer?

Rohini Seth answered
According to the Collatz Conjecture, if a number is even, it is divided by 2. The next number after 6 (which is even) is 6 ÷ 2 = 3.

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?

Anjali Sharma answered
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.

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'.

In the Collatz sequence starting from 21, what is the fourth number?
  • a)
    16
  • b)
    32
  • c)
    64
  • d)
    42
Correct answer is option 'A'. Can you explain this answer?

Gunjan Lakhani answered
The sequence starting from 21 follows 21 → 64 → 32 → 16. The fourth number in the sequence is 16.

Which of the following is NOT a pattern of time found on a 12-hour clock?
  • a)
    4:44
  • b)
    10:10
  • c)
    13:13
  • d)
    12:12
Correct answer is option 'C'. Can you explain this answer?

Rohini Seth answered
On a 12-hour clock, 13:13 does not exist as the hour goes only up to 12. The other times (4:44, 10:10, 12:12) are valid patterns on a 12-hour clock.

How many times does the digit '7' appear when writing all the numbers from 1 to 100?
  • a)
    10
  • b)
    15
  • c)
    20
  • d)
    25
Correct answer is option 'C'. Can you explain this answer?

Coachify answered
The digit '7' appears in the 7th, 17th, 27th, 37th, 47th, 57th, 67th, 70-79 (10 times), and 87th, 97th, totaling 20 times.

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.

What is the reverse of the number 1234?
  • a)
    4321
  • b)
    3412
  • c)
    2143
  • d)
    3241
Correct answer is option 'A'. Can you explain this answer?

Pritam Kumar answered
Understanding the Reverse of a Number
To find the reverse of a number, we need to rearrange its digits in the opposite order.
Step-by-Step Process
- Identify the Digits: The number we are working with is 1234. It consists of four digits: 1, 2, 3, and 4.
- Reverse the Order: We take the last digit and move it to the front, followed by the other digits in reverse order.
- Start with the last digit: 4
- Next, take the third digit: 3
- Then the second digit: 2
- Finally, the first digit: 1
- Combine the Reversed Digits: Placing these digits together gives us 4321.
Conclusion
Thus, the reverse of the number 1234 is 4321, which is option 'A'.
Options Breakdown
- a) 4321 - This is the correct answer.
- b) 3412 - Incorrect, as the digits are not in reverse order.
- c) 2143 - Incorrect, as the digits are also not in reverse order.
- d) 3241 - Incorrect for the same reason.
By following these steps, we see that reversing the digits of the number 1234 successfully yields 4321, confirming that option 'A' is indeed the correct answer.

What is the smallest 4-digit number that, when reversed, gives a smaller number?
  • a)
    1000
  • b)
    1001
  • c)
    1100
  • d)
    1010
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
The smallest 4-digit number is 1000, but when reversed, it remains the same. 1001, when reversed, becomes 1001, which is the same, but 1001 is smaller than other options when comparing original and reversed 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?

Lekshmi Sen answered
Understanding Whole Numbers
Whole numbers are the set of non-negative integers, which include zero and all positive integers (0, 1, 2, 3, ...).
Identifying the Smallest Whole Number
- The smallest whole number is 0.
Identifying the Greatest 2-Digit Number
- The greatest 2-digit number is 99.
Calculating the Range of Whole Numbers
To find the number of whole numbers between 0 and 99, we need to consider the range that includes both endpoints:
- We start counting from 0 and go up to 99.
Counting the Whole Numbers
- The whole numbers in this range are: 0, 1, 2, ..., 99.
- To find the total count, we calculate the difference between the greatest number and the smallest number, and then add 1 (to include both endpoints):
Total whole numbers = (99 - 0) + 1 = 99 + 1 = 100.
Excluding the Endpoints
However, if the question specifically asks for the whole numbers between the smallest whole number and the greatest 2-digit number (excluding 0 and 99):
- The numbers in this case would be: 1, 2, 3, ..., 98.
- Thus, the count of these numbers is:
Total whole numbers = (98 - 1) + 1 = 98 - 1 + 1 = 98.
Conclusion
Hence, the correct answer is 98, which corresponds to option 'A'.

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.

How many 3-digit palindromic numbers can be created using the digits 1, 2, and 3?
  • a)
    2
  • b)
    4
  • c)
    6
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?

Coachify answered
The possible 3-digit palindromes using the digits 1, 2, and 3 are 121, 131, 212, 232, 313, and 323. There are 6 such numbers.

Which of the following numbers is a palindrome?
  • a)
    34544
  • b)
    12321
  • c)
    65457
  • d)
    78998
Correct answer is option 'B'. Can you explain this answer?

Subset Academy answered
A palindromic number reads the same forward and backward. Among the given options, only 12321 is palindromic.

What is the Kaprekar constant for 4-digit numbers?
  • a)
    495
  • b)
    6174
  • c)
    8127
  • d)
    8372
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
The Kaprekar constant for 4-digit numbers is 6174. No matter what 4-digit number you start with, if you repeat the steps of arranging digits in descending and ascending order, subtracting the smaller from the larger, you will eventually reach 6174.

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.

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