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Test: Number Play - 2 - Class 6 MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 6 - Test: Number Play - 2

Test: Number Play - 2 for Class 6 2024 is part of Mathematics (Maths) Class 6 preparation. The Test: Number Play - 2 questions and answers have been prepared according to the Class 6 exam syllabus.The Test: Number Play - 2 MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Number Play - 2 below.
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Test: Number Play - 2 - Question 1

Which of the following numbers is a supercell in the grid [45, 78, 92, 31, 60]?

Detailed Solution for Test: Number Play - 2 - Question 1

To determine which of the given numbers is a supercell in the grid [45,78,92,31,60] we first need to define what a "supercell" is in this context.

Typically, a supercell might refer to a cell in a grid or array that meets certain criteria, such as being greater than the average of its surrounding numbers. However, without a specific definition provided, we can't definitively categorize any of the numbers as a supercell.

If we assume a supercell is defined as being greater than the average of the other numbers in the grid, we can calculate the average and then check which number(s) exceed it.

Let's calculate the average of the numbers in the grid:

  1. Calculate the sum of the numbers:

    45+78+92+31+60=306
  2. Calculate the average:
     

  3. Average
  4. Now we can compare each number to this average:

  5. 45: Not greater than 61.2
  6. 78: Greater than 61.2
  7. 92: Greater than 61.2
  8. 31: Not greater than 61.2
  9. 60: Not greater than 61.2
  10. Based on this assumption, the numbers that could be considered "supercells" are 78 and 92.

     

     

Test: Number Play - 2 - Question 2

How many 3-digit palindromic numbers can be created using the digits 1, 2, and 3?

Detailed Solution for Test: Number Play - 2 - Question 2
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.
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Test: Number Play - 2 - Question 3

How many times does the digit '7' appear when writing all the numbers from 1 to 100?

Detailed Solution for Test: Number Play - 2 - Question 3
The digit '7' appears in the 7th, 17th, 27th, 37th, 47th, 57th, 67th, 70-79 (10 times), and 87th, 97th, totaling 20 times.
Test: Number Play - 2 - Question 4

What is the smallest 4-digit number that, when reversed, gives a smaller 4-digit number?

Detailed Solution for Test: Number Play - 2 - Question 4

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.

Test: Number Play - 2 - Question 5
What is the Kaprekar constant for 4-digit numbers?
Detailed Solution for Test: Number Play - 2 - Question 5
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.
Test: Number Play - 2 - Question 6

Which of the following numbers is a palindrome?

Detailed Solution for Test: Number Play - 2 - Question 6

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

Test: Number Play - 2 - Question 7

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?

Detailed Solution for Test: Number Play - 2 - Question 7

Structure of a 5-digit palindrome:

A 5-digit palindrome has the form abcba‾\overline{abcba}abcba, where:

  • The first digit is a,
  • The second digit is b,
  • The third digit is c,
  • The fourth digit is b,
  • The fifth digit is a.

Conditions:

  1. The third digit ccc is twice the second digit bbb, i.e., c=2b.
  2. The fourth digit bbb is twice the third digit ccc, i.e., b=2c.

Solving:

From the second condition, b=2c. Using this in the first condition c=2b, substitute b=2c into c=2b:

c=2(2c)=4c..

This gives a contradiction, as the only possible solution to c=4c is c=0.

If c=0, then b=2c=0. So, the palindrome becomes a0c0a‾=a000a.

Now, aaa is a non-zero digit (since it's a 5-digit number), and the only palindrome fitting this structure would be 10001.

Final Answer:

The number is 10001

Test: Number Play - 2 - Question 8
What is the correct order of placing the numbers 2180, 9950, 3050 on a number line?
Detailed Solution for Test: Number Play - 2 - Question 8
The numbers 2180, 3050, and 9950 should be placed in ascending order on the number line as 2180, 3050, and 9950.
Test: Number Play - 2 - Question 9
Which of the following is the correct sum of digits for the number 176?
Detailed Solution for Test: Number Play - 2 - Question 9
The sum of the digits of 176 is 1 + 7 + 6 = 14.
Test: Number Play - 2 - Question 10
What is the largest number that can be formed using the digits 6382?
Detailed Solution for Test: Number Play - 2 - Question 10
To form the largest number, arrange the digits in descending order. The largest number formed by 6382 is 8632.
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