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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).

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).

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.

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.

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.

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.

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.

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