Page 12 - Ramanujan Yatra

result will be 25. The trick is such that after multiplication by 5 the last digit of the result will always be 5. Now, assume any number between 1 and 9 and add the assumed number to the obtained result. Let, the assumed number is 7. So, the total number becomes 32. If we just subtract 25 from the total number (32), we will get 07. The last digit of 07 is the assumed number, i.e., seven. Now, remove the last digit and the truncated number, i.e., 0 is the initial number.
Now, for case 2, the above reasoning is illustrated. For case 2, Total number was 1588. After subtracting 25 from it, we will get 1563. Here, three is the last digit. So the assumed number should be 3. After removing the last digit, the truncated number will be 156, i.e., the initial number must be 156.
NUMBER TRICK 2:
Ask your friends to do the following steps:
Initially, take any number. Add 3 to it and then multiply it by 2. Add 2 with the result and then multiply it by 5. Now assume any number between 1 and 9 and add the assumed number to the obtained result. Tell the final result at the end.
Similarly, consider two cases. Two different results (final numbers) obtained from two friends are as follows:
Case 1: Final result= 103 Case 2: Final result=7679
Answers for two cases are given here:
Case 1: For the first friend, the initial number was 6 and at the end she assumed number 3.
Case 2: The second friend had initially imagined 763 and his assumed number was 9.
Method to get the answer is as follows:
Take the final result. The last digit will be the assumed number. If you remove the last digit and subtract 4 from the truncated number, you will get the initial number. For case 1, it is explained.
Case 1: The final result=103. As 3is the last digit, it is the assumed number. After removing the last digit from 103, we will get 10. Now subtracting 4 from 10, we will obtain 6. So, 6 should be the initial number.
3
Ramanujan
YATRA
The primary reasoning of the trick is explained here.