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All questions of Number Play for Class 6 Exam

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?

Surbhi Patel answered
Understanding the Problem
To find the missing number that contributes to the total of 38,800, we can break down the components provided:
- 25,000
- 13,000
- Two 400s
Calculating the Known Values
Let's sum the known numbers:
- 25,000 + 13,000 = 38,000
- Adding two 400s: 400 + 400 = 800
- Now sum these values: 38,000 + 800 = 38,800
Finding the Missing Number
To determine the missing number, we can subtract the sum of the known values from the total:
- Total: 38,800
- Known sum: 38,000 + 800 = 38,800
When we check the difference:
- 38,800 - 38,800 = 0
Conclusion: The Missing Number
The missing number that, when added to 25,000, 13,000, and two 400s, results in 38,800 is:
- 0
Thus, the correct answer is option 'D', which is 0.
This reveals that no additional number is needed to achieve the total since all components already sum up perfectly to 38,800.

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.

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.

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.

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.

If a 5-digit palindrome has a third digit that is twice the second digit and the fourth digit that is twice the third, what is the number?
  • a)
    13531
  • b)
    24642
  • c)
    10001
  • d)
    25752
Correct answer is option 'C'. Can you explain this answer?

Explanation:

Given conditions:
- The number is a 5-digit palindrome.
- The third digit is twice the second digit.
- The fourth digit is twice the third digit.

Steps to find the number:
1. Let's assume the palindrome number is abcba, where a, b, c are digits.
2. Since it is a palindrome number, a = a (the first and last digits are the same).
3. The third digit is twice the second digit, so c = 2b.
4. The fourth digit is twice the third digit, so b = 2c = 4b (substitute c = 2b).
5. From step 4, we get b = 0 which is not possible as b is a digit from 1 to 9.
6. Hence, the assumption made in step 1 is incorrect.
7. Let's try another assumption where the number is abccba.
8. Using the conditions:
- a = a (first and last digits are the same)
- c = 2b (the third digit is twice the second digit)
- c = 2c = 4b (the fourth digit is twice the third digit)
9. From the above conditions, we get b = 1 and c = 2.
10. Therefore, the number is 14641.
So, the correct answer is option C) 14641.

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.

Which of the following numbers will you arrive at after performing Kaprekar's process starting with 4176?
  • a)
    495
  • b)
    8392
  • c)
    6174
  • d)
    1764
Correct answer is option 'C'. Can you explain this answer?

Debolina Shah answered
Understanding Kaprekar's Process
Kaprekar's process involves rearranging the digits of a number to find a specific result. Let's apply this to the number 4176.
Steps of Kaprekar's Process:
1. Arrange Digits in Descending Order:
- For 4176, the digits arranged from highest to lowest are 7641.
2. Arrange Digits in Ascending Order:
- The digits arranged from lowest to highest are 1467.
3. Subtract the Two Results:
- Now we subtract the smaller number from the larger number:
- 7641 - 1467 = 6174.
Result of Kaprekar's Process:
- The result after performing Kaprekar's process on 4176 is 6174.
Conclusion:
- Repeating the process will eventually lead to the same number, 6174, known as Kaprekar's constant.
Thus, starting with 4176 and applying Kaprekar's process, the final answer is indeed option C: 6174.

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 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?

Explanation:

Given:
The number is a 4-digit number.
When reversed, it gives a smaller number.

Analysis:
To find the smallest 4-digit number that, when reversed, gives a smaller number, we need to consider the position of digits in a 4-digit number.

Steps to Find the Smallest Number:
- Start with the smallest 4-digit number, which is 1000.
- Reversing 1000 gives 0001, which is not a valid 4-digit number.
- Move to the next number, which is 1001.
- Reversing 1001 gives 1001, which is equal to the original number.
- The next number is 1100.
- Reversing 1100 gives 0011, which is a smaller number.
- Hence, the smallest 4-digit number that, when reversed, gives a smaller number is 1100.
Therefore, the correct answer is option B (1100).

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?

Nilanjan Unni answered
Understanding the Collatz Conjecture
The Collatz Conjecture is a sequence defined as follows:
- Start with any positive integer.
- If the number is even, divide it by 2.
- If the number is odd, multiply it by 3 and add 1.
- Repeat the process for the resulting number.
Starting with 12
Let's see how the sequence progresses starting with 12:
- 12 (even) → 12 / 2 = 6
- 6 (even) → 6 / 2 = 3
Next Number After 6
Now, we need to find the next number after 6:
- 6 is even, so we divide it by 2:
- 6 / 2 = 3
Thus, after 6, the next number in the sequence is 3.
Options Analysis
Let's review the given options:
- a) 3 (correct answer)
- b) 10 (incorrect)
- c) 7 (incorrect)
- d) 5 (incorrect)
Conclusion
The next number after 6 in the Collatz sequence starting from 12 is indeed 3, making option 'A' the correct choice. This process illustrates how the Collatz Conjecture works, demonstrating the sequence's fascinating and simple rule-based nature.

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 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.

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).

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