In numbers 1–100, the digit ‘7’ appears 20 times: 10 in the tens place (70–79) and 10 in the units place. In 1–1000, it appears 300 times: 100 each in the hundreds, tens, and units places. Class 6 Mathematics Ganita Prakash ...
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The largest odd 5-digit number between 35,000 and 75,000 is 75,999. The smallest number is 35,135. The number closest to 50,000 is 49,975, as it is nearer than other odd numbers. Class 6 Mathematics Chapter 3 Number Play question answer Class 6 ...
To reach the Kaprekar constant (6174), your birth year undergoes repeated operations of forming the largest and smallest digits. Typically, it takes six to seven iterations for most four-digit numbers. Class 6 Mathematics Chapter 3 Number Play question answer Class 6 NCERT ...
Estimate steps by measuring one average stride (e.g., 0.8 meters) and count approximate strides to the door. For a 12-meter distance, around 15 strides or steps suffice. Quick comparisons refine estimates for accuracy. Class 6 NCERT Ganita Prakash Chapter 3 Number ...
Collatz’s conjecture is widely believed but unproven. Every tested sequence reaches 1, but no mathematical proof confirms this for all numbers. Its simplicity versus complexity fascinates mathematicians, making it a captivating unsolved problem. Class 6 NCERT Ganita Prakash Chapter 3 Number ...
Starting with 25: 25 → 76 → 38 → 19 → 58 → 29 → 88 → 44 → 22 → 11 → 34 → 17 → 52 → 26 → 13 → 40 → 20 → 10 → 5 ...
Using 1,500, 1,200, and 400, 1,000 cannot be formed as they can’t sum up precisely. Numbers like 14,000, 15,000, and 16,000 can be made using appropriate combinations. Some thousands, however, remain impossible. Class 6 NCERT Ganita Prakash Chapter 3 Number Play class ...
Starting with 5683, arrange digits in descending and ascending order. Subtract smaller from larger repeatedly: 8653 − 3568 = 5085 8550 − 0558 = 7992 9972 − 2799 = 6174. It takes three rounds. Class 6 Mathematics Chapter 3 Number Play ...
The next palindromic time after 10:01 is 10:10, occurring in 9 minutes. The following palindromic time is 11:11, which happens 61 minutes after 10:10, showing interesting intervals in palindromic time patterns. Class 6 Mathematics Chapter 3 Number Play question answer Class 6 ...
The smallest 5-digit palindrome is 10001, and the largest is 99999. Their sum is 10001 + 99999 = 110000. Their difference is 99999 − 10001 = 89998, showcasing symmetry in their numerical structure. Class 6 Mathematics Chapter 3 Number Play question ...