Shishu Sansaar

Thoughts

---

Thoughts Thoughts means ideas about anything. These thoughts are formed after a long experience, thinking, period of observation and pondering over that "anything". Although you can also form your own ideas about something, but the world may not listen to them, because of your lack of experience, immature thinking, and a short period of observation and pondering. Sometimes it is not necessary to agree with these thoughts but to disagree with them you must be knowledgeable and experienced enough to contradict them. How to read them: Go to one page and read only one or two thoughts, or a collection of thoughts on one topic. Try to understand them, try to think over them from several aspects; discuss them among your friends and your elders and collect their own ideas about it; read something about it if you can; until you are exhausted and decide its applicability in the life. If it is applicable, practice it and see its effects as how do you feel by practicing it. You cannot know its effects in a short period of time. So go on practicing until you have several experiences to discard it, otherwise there is no harm in practicing it. In the meantime read other thoughts and go through the same process... You may do this on a weekly basis... Some notes are given in red under some thoughts to explain them better. Shishu Sansaar Mathematical Games 1 Game No 1: Calculate the addition of 1 to 10 numbers? Can you calculate the addition for 1 to 10 consecutive numbers? It is very easy to calculate. You don't know? Go to the Answers Page. Game No 2: Laddoo for Guests One day Raam had five guests in late evening. Everybody had taken his dinner so no food was left. So Raam offered them only Laddoo. Raam called one guest and offered him some Laddoo. He ate some, and left some. Then Raam called the second guest and offered him the leftover Laddoo adding the same number of Laddoo to them. That guest also ate some and left some Laddoo. Then Raam called the third guest. Again Raam added the same number of Laddoo to the leftover Laddoo and offered to the third guest. This guest also ate some and left some Laddoo. Then Raam called fourth guest and did the same as he did with others. He also ate some and left some. Raam again added the same number of Laddoo to the leftover Laddoo and offered to the fifth guest. He ate all the Laddoo and went to sleep. When they all got up in the morning, they found that all ate the same number of Laddoo. Tell us how many Laddoo each guest ate? If you cannot tell check the Answer Page. Game No 3: Telling the Addition of 5 Lines of 5 Digits Each Without Adding Them How can you do it without adding them? Yes you can do it. How? Check for the answer on the Answer Page Game No 4 How Many Chapaatiyaan? One day Ram, Shyaam and Sundar went for a picnic. There Raam made Chapaatiyaan. When he finished making Chapaatiyaan, Shyaam and Sundar went to sleep. Raam divided the Chapaatiyaan in three equal parts, 1 remained so he gave it to a dog. He ate his share and kept the other two parts in a pot. He was tired, so he also went to sleep. Now Shyaam woke up, he saw that Ram and Sunder were sleeping, so he distributed the Chapaatiyaan in three equal parts, 1 remained so he gave it to a dog. He ate his share and kept the other two parts in the same pot and went to sleep again. Now Sunder woke up, he saw that Ram and Shyaam were sleeping, so he distributed the Chapaatiyaan in three equal parts, 1 remained so he gave it to a dog. He ate his share and kept the other two parts in the same pot and went to sleep again. In the evening all woke up together, took out the Chapaatiyaan, distributed in three equal parts, 1 remained so gave it to a dog, and ate them all. Now tell: How many Chapaatiyaan Raam made? How many Chapaatiyaan Ram, Shyaam and Sundar ate in total? And how many Chapaatiyaan dog ate? To know the answer of these questions go to Answers Page. Game No 5: How to Arrange Horses? Raam had 32 horses. His servant used to tie them such that from every side Raam could count them 12. One day Shyaam came and asked Raam's servant to give him 4 horses for one day, promising him that he will return 8 horses instead of 4 horses. The servant said, "Raam counts his horses 12, from every side, every morning. I do not know how I will arrange them like this, if you have taken 4, and even afterwards when you have returned 8 horses. If you tell me the way, you may take 4 horses." Shyaam said, "No problem" and he told him the way to arrange them in such a way that from every side they could be counted as 12. HOW? Check on the Answers Page. Shishu Sansaar Mathematical Games 1/Answers 1 Answer to Game No 1: Calculate the addition of 1 to 10 numbers? Add the first number and last number, Then multiply it with the half of the last number. For example: addition of first and last number: 1 + 10 = 11 multiply by half of the last number: (1 + 10) x 10/2 so 11 x 5 = 55 Answer to Game No 2: Laddoo for Guests These questions are solved from the end. The 5th guest ate 16 Laddoo, it means the 4th guest left 8 Laddoo. The 4th guest also ate 16 Laddoo, so it means that he was offered 16 + 8 = 24 Laddoo. He ate 16 and left 8. Since the 4th guest received 24 Laddoo, it means the 3rd guest left 12 Laddoo. He was offered 12 + 16 = 28 Laddoo. Since the 3rd guest received 28 Laddoo, it means the 2nd guest left 14 Laddo. So he ate 16 and left 12. Since the 2nd guest left 14 Laddo, and we know that he ate 16 Laddoo, he was offered 30 Laddoo. It means the 1st guest left 15 Laddoo. Now the 1st guest also ate 16 Laddoo, so he was offered 31 Laddoo. He ate 16 and left 15 Laddoo. 1st guest was offered 31 Laddoo, he ate 16, left 15 2nd guest was offered 15 + 15 = 30, he ate 16, left 14 3rd guest was offered 14 + 14 = 28, he ate 16, left 12 4th guest was offered 12 + 12 = 24, he ate 16, left 8 5th guest was served with 8 + 8 = 16, he ate all, and went to sleep. Answer to Game No 3: Telling the Addition of 5 Lines of 5 Digits Each Without Adding Them Tell your friends that you could tell them the addition of 5 lines of 5 digit numbers without adding them. The condition is that they could write first 3 lines but the last 2 lines you will write. So ask your partner to write a number of 5 digits. Now you draw a horizontal line a bit below (leaving the space for other 4 lines) and write a number thus: Subtract 2 from that number (or from the last 2 digits) and write that number starting with 2. Now ask him to write the other two lines of 5 digit numbers below the first one. Now it is your turn to write the last two lines. Write your first line thus, that the friend's 2nd line and your line add to 99999. In the same way you write your second line too making the addition of friend's 3rd line and yours as 99999. Now the addition of all these 5 lines will have the same addition as you wrote before. Example: Ram's first number 34576 Ram's second number 65743 Ram's third number 45870 your second line 34256 (making 99999 adding second line your third line 54129 (making 99999 adding third line _________________________________ 234574 In the same way you can add 7 lines, or 9 lines, or 11 lines. In 7 lines, subtract 3 and keep 3 before the addition. In 9 lines, subtract 4 and keep 4 before the addition. In 11 lines subtract 5, and keep 5 before the addition. Leaving the first line aside, your lines and your friend's line must be of equal number. And your lines must be the complementary lines to his making each line as 99999. Answer to Game No 4 Law: Whatever number of people are involved in the game, multiply that number with the same number, same number of times, such as: 3 x 3 x 3 x 3 = 81 Now whatever number of people are there, subtract 1 from that number, and subtract the resultant from the above number 81 - (3 - 1 =) 2 = 79 Chapaatiyaan were made Now keep dividing it among the number of people: 79 x 1/3 = 26 for Ram, 1 remaining for dog, 52 were kept 52 x 1/3 = 17 for Shyam, 1 remaining for dog, 34 were kept 34 x 1/3 = 11 for Sunder, 1 remaining for dog, 22 were kept 22 x 1/3 = 7 for each three, 1 remaining for dog. Raam ate total Chapaatiyaan 26 + 7 = 33 Shyaam ate total Chapaatiyaan 17 + 7 = 24 Sundar ate total Chapaatiyaan 11 + 7 = 18 Dog got 1 + 1 + 1 + 1 = 4 Chapaatiyaan Answer to Game No 5: How to Arrange Horses? There were 32 horses which were standing like this: 4 4 4 4 4 4 4 4 Now remained 28 horses, they were arranged like this: 5 2 5 2 2 5 2 5 Then they were 36 horses, they were arranged like this: 3 6 3 6 6 3 6 3 Now Ram could count 12 horses from every side every time. So he could not know when the horses were taken away and when the horses were returned.