Notes

John has 30 chocolates. He wants to give a third of them to Tom, a fifth of them to David, a sixth of them to Mary and three-tenths to James. How many will each get?  John has 17 chocolates. He wants to give two-thirds of them to Tom, a sixth of them to David and a ninth of them to James. How many will each get? Suppose you have two job offers. The first company offers a salary of 1 million dollars a month. The second company offers a salary of 1 cent on day 1, 2 cents on day 2, 4 cents on day 3, 8 cents on day 4 and so on. (The amount gets doubled every day.) What you get on day 31 will be your final salary. Which offer will you accept? NAASATO VIDYATE BHAAVAH NAA BHAAVO VIDYATE SATAH UBHAYO-RAPI DRUSHTONTAH TVANAYOS TATTVA-DARSHIBHIH //16// AVINAASHI TU TADVIDDHI YENA SARVAM IDAM TATAM VINAASHAM AVYAYA-SYAASYA NA KASCHIT KARTUM ARHATI //17// ANTAVANTA IME DEHAA NITYASYOKTAAH SHAREERINAH ANAAShINO’PRAMEYASYA TASMAAD YUDHYASVA BHAARATA //18// YA ENAM VETTI H...

Look at this number: 13. Find its square. Reverse the given number. Find its square. What do you observe? Multiply 21978 by 4. What do you observe? 1^3 = ?, 5^3 = ?, 3^3 = ?, 1^3+5^3+3^3 = ? 3^3 = ?, 7^3 = ?, 0^3 = ?, 3^3+7^3+0^3 = ? 3^3 = ?, 7^3 = ?, 1^3 = ?, 3^3+7^3+1^3 = ? 4^3 = ?, 0^3 = ?, 7^3 = ?, 4^3+0^3+7^3 = ? 1*9 + 1 + 9 = ? 2*9 + 2 + 9 = ? 3*9 + 3 + 9 = ? 4*9 + 4 + 9 = ? 5*9 + 5 + 9 = ? 6*9 + 6 + 9 = ? 7*9 + 7 + 9 = ? 8*9 + 8 + 9 = ? 9*9 + 9 + 9 = ? 1089*9 = ? What do you observe? Will this happen with 10989*9, 109989*9 and 1099989 also? Check. (This pattern holds good for all numbers in which 10 and 89 are separated by any number of 9s.)

Read this number: 100 How many letters are there in its number name? 7 The number is 100 and the number of letters in its number name is 7. Now tell me a number in which the number of letters in the number name is equal to the number itself. Answer: 4 Read this number: 100 How do you spell it? H U N D R E D Are the letters in the alphabetical order? Of course, no. Now, tell me a number name in which the letters are in the alphabetical order. Hint 1: It's a two-digit number. (There is only one number in whose name the letters are in the alphabetical order.) Hint 2: It has zero in the Ones place. Two-digit numbers having zero in the Ones place: 10, 20, 30, 40, 50, 60, 70, 80, 90 Answer: 40 (F O R T Y) What is the square of 12? What is the number you get when you reverse the digits in this? What is its square? What do you notice?

Names of Places in terms of Exponents of 10 10^-5 = 1/100000 = 0.00001 [Hundred Thousandths] 10^-4 = 1/10000 = 0.0001 [Ten Thousandths] 10^-3 = 1/1000 = 0.001 [Thousandths] 10^-2 = 1/100 = 0.01 [Hundredths] 10^-1 = 1/10 = 0.1 [Tenths] 10^0=1 [Ones] 10^1=10 [Tens] 10^2=100 [Hundreds] 10^3=1000 [Thousands] 10^4=10000 [Ten Thousands] 10^5=100000 [Hundred Thousands] 10^6=1000000 [Millions] 10^7=10000000 [Ten Millions] 10^8=100000000 [Hundred Millions] 10^9=1000000000 [Billions] 10^10=10000000000 [Ten Billions] 10^11=100000000000 [Hundred Billions]

YAM HI NA VYATHA YAN TYETE PURUSHAM PURUSHAR-SHABHA SAMA DUHKHA SUKHAM DHEERAM SO’MRUTA-TVAAYA KALPATE //2-15//

NA KAANKSHE VIJAYAM KRISHNA NA CHA RAAJYAM SUKHAANI CHA KIM NO RAAJYENA GOVINDA KIM BHOGAIR-JEEVITENA VAA //1-32// MAATRAA SPARSHAA STU KAUNTEYA SHEETO-SHNA SUKHA DUHKHA DAAH AAGAMAA PAAYINO NITYAAH TAAM STHITI KSHASVA BHAARATA  //2-14// Compare $1000 and $100. $1000 is ten times $100. $100 is a tenth of $1000. (If you divide $1000 into 10 parts, each part will be equal to $100.) Compare $100 and $10. $100 is ten times $10. $10 is a tenth of $100. Compare $10 and $1. $10 is ten times $1. $1 is a tenth of $10. Compare a dollar and a dime. A dollar is ten times a dime. A dime is a tenth of a dollar. Compare a dime and a penny. A dime is ten times a penny. A penny is a tenth of a dime.

DEHINO’SMIN YATHAA-DEHE KOUMAARAM YAUVANAM JARAA TATHAA DEHAANTARA PRAAPTI-HI DHEERAS-TATRA NA MUHYATI //13// Inside the body, there is SOUL. Body is temporary. It becomes unusable after some years. It is called death. Then it is burnt or buried. But the SOUL inside is permanent. It has no death. When the body is burnt or buried, the SOUL continues its existence. The body is just like a case or outer cover or clothing for the SOUL. Soul goes through 4 stages: 1. Koumaram (childhood) 2. Yauvanam (youth) 3. Jaraa (old age) 4. Dehaantara (change of body) When the soul changes body, ignorant people call it death and they feel sad. But  people who are wise do not worry about death . They know the soul has only gone into another body, it is only a change of clothing. Hinduism/Hindus: Bhagavad Gita Islam/Muslims: Koran Judaism or Zionism/Jews: The Old Testament (Part I of the Bible) In the Old Testament, it is written that God will send His Messenger to Earth. This Messenger is called Mes...

NA TVE-VAAHAM JAATU-NAASAM NATVAM-NEME JANAA-DHIPAAH NA CHAIVA NA BHAVISH-YAAMAH SARVE VAYA MATAH PARAM //12// DEHINO’SMIN YATHAA-DEHE KOUMAARAM YAUVANAM JARAA TATHAA DEHAANTARA PRAAPTI-HI DHEERAS-TATRA NA MUHYATI //13// Inside the body, there is SOUL. Body is temporary. It becomes unusable after some years. It is called death. Then it is burnt or buried. But the SOUL inside is permanent. It has no death. When the body is burnt or buried, the SOUL continues its existence. The body is just like a case or outer cover or clothing for the SOUL. Soul goes through 4 stages: 1. Koumaram (childhood) 2. Yauvanam (youth) 3. Jaraa (old age) 4. Dehaantara (change of body) When the soul changes body, ignorant people call it death and they feel sad. But people who are wise do not worry about death . They know the soul has only gone into another body, it is only a change of clothing. Hinduism/Hindus: Bhagavad Gita Islam/Muslims: Koran Judaism or Zionism/Jews: The Old Testament (Part I...

SANJAYA UVACHA EVA-MUK-TVAA HRISHEE-KESHAM GUDAA-KESHAH PARAN-TAPAH NA YOTSYA ITI GOVINDAM UKTVAA TOOSH-NEEM BABHOOVA-HA //9// (laid down his bow and arrows) TAMU-VAACHA HRISHEE-KESHAH PRAHA-SANNIVA BHAARATA SENAYO-RUBHAYOR-MADHYE VISHEE-DANTA-MIDAM-VACHAHA //10// (sitting between the two armies) SRI BHAGAVAN UVAACHA ASHOCHYAA-NANVA-SHOCHAS-TVAM PRAJNAA-VAADAAMSCHA BHAASHASE GATAA-SOO-NAGATAA-SOOMSCHA NAANU-SHOCHANTI-PANDITAAH //11// ARJUNA, YOU ARE CRYING OVER UNNECESSARY THINGS. ALSO, YOU ARE TALKING AS IF YOU ARE VERY INTELLIGENT AND WISE. BUT PEOPLE WHO ARE REALLY WISE WILL NOT CRY OVER WHAT IS EXISTING NOW OR WHAT EXISTED IN THE PAST.

SANJAYA UVACHA EVA-MUK-TVAA HRISHEE-KESHAM GUDAA-KESHAH PARAN-TAPAH NA YOTSYA ITI GOVINDAM UKTVAA TOOSH-NEEM BABHOOVA-HA //9//

VAISHAKHA SUDDHA PANCHAMI ADI SHANKARA'S BIRTH ANNIVERSARY (788 CE - 820 CE) PILLARS OF THE HINDU RELIGION VEDAS, VEDA VYASA, VALMIKI, RAMAYANA, MAHABHARATA, BHAGAVAD GITA, BHAGAVATA, ADI SHANKARA, SWAMI VIVEKANANDA NAHI PRAPA-SYAAMI MAMAAPA-NUDYAAT YACHCHOKA-MUCHCHOSHANA MINDRI-YAANAAM AVAAPYA-BHOOMAA VASAPATNA-MRUDDHAM RAAJYAM-SURAANAA MAPI-CHAADHI-PATYAM //8// Do you see the pattern? The sum of the first 2 odd numbers is 2 squared. The sum of the first 3 odd numbers is 3 squared. The sum of the first 5 odd numbers is 5 squared. The sum of the first 6 odd numbers is 6 squared. And this pattern continues forever.

19 * 1 = 19 19 * 2 = 38 19 * 3 = 57 19 * 4 = 76 19 * 5 = 95 19 * 6 = 114 19 * 8 = 152 19 * 9 = 171 19 * 10 = 190 19 * 16 = 304 19 * 32 = 608 19 * 64 = 1216

What is the state in the south of Andhra Pradesh? What are the states in the west of Andhra Pradesh? What are the states in the north of Andhra Pradesh? What lies to the east of Andhra Pradesh? 1 Pakistan 2 Afghanistan 3 Tajkistan 4 China 5 Nepal 6 Bhutan 7 Myanmar 8 Bangladesh 9 Sri Lanka Population of Australia: 25 million or 2.5 crore Population of Canada: 38 million or 3.8 crore [Population of Andhra Pradesh: 50 million or 5 crore] Population of UK: 66 million or 6.6 crore [Population of Uttar Pradesh: 204 million or 20.4 crore] Population of USA: 328 million or 32.8 crore Population of India: 1366 million or 136.6 crore Population of China: 1397 million or 139.7 crore (1 crore = 10 million = 10000000) A number is 41 more than 32. What is it? A number is 16 less than 60. What is it? What is four times 19? What is a half of 98? 4 times 19 4 times (20-1) 4 times 20 - 4 times 1 80-4=76 A half of 100=50 A half of 98 A half of (100-2) A half of 100 - a half of 2 50-1=49 3 times 29 3 tim...

NA-CHAITA-DVID-MAH KATA-RANNO-GAREEYAH YADVAA-JAYEMA YADI-VAANO-JAYEYUH YAANEVA-HATVAA NA-JI-JEEVI-SHAAMAH TE’VA-STHITAAH PRAMUKHE DHAARTA-RAASHTRAAH//6// Territories of India https://drive.google.com/file/d/1w2tzp19IPKcFzd_scHsyjMDNHXcKaLiV/view?usp=sharing

9*2=18           18÷2=9, 18÷9=2 12*4=48           48÷4=12, 48÷12=4 6*16=96           96÷16=6, 96÷6=16 13*11=143 143÷11=13 143÷13=11 14*7=98           98÷7=14           98÷14=7 80÷5=16           16*5=80 105÷7=15 15*7=105 169÷13=13 13*13=169 225÷25=9 9*25=225 135÷3=45 45*3=135 123+234=357 357-234=123 357-123=234 987+876=1863 1863-876=987 1863-987=876 KATHAM BHISHMA-MAHAM-SANKHYE DRONAM CHA MADHU-SOODANA ISHU-BHIH PRATI-YOT-SYAAMI POO-JAAR-HAA VARI-SOODANA//4// GUROO-NA-HATVAA-HI MAHAANU-BHAAVAAN SHREYO-BHOKTUM BHAIK-SHYA MAPEEHA-LOKE HATVAARTHA-KAAMAAM-STU GUROO-NIHAIVA BHUNJEEYA-BHOGAAN RUDHIRA-PRADIGDHAAN //5//

SANKHYA YOGAH SANJAYA UVACHA TAM TATHAA KRUPAYAA VISHTAM ASHRU POORNAA KULE-KSHANAM VISHEE-DANTA MIDAM VAAKYAM UVAACHA MADHU-SOODANA //1// ashru: tears vaakyam: sentence uvacha: said Madhusoodana: Krishna   SRI BHAGAWAN UVACHA KUTA-STVAA KASHMALA-MIDAM VISHAME SAMUPA-STHITAM ANAARYA-JUSHTA-MASVARGYAM AKEERTI-KARA-MARJUNA //2// anaarya: against tradition asvargyam: against the path to Heaven akeertikaram: making infamous KLAIBYAM MAA-SMA GAMAH PAARTHA NAI-TAT-VAI-YUPA-PADYATE KSHUDRAM HRUDAYA DAUR-BALYAM TYAK-TVO-TTISHTA PARAN-TAPA //3// (the weakness of mind is the worst thing that can happen to us, tyaktva+uttishta=tyaktvottishta, uttishta: stand up) sum up to 1000 = 1000/2 * 1001 sum up to 25 = 25*26/2 sum up to 55 = 55*56/2 sum up to 10 = 10*11/2 sum up to 30 = 30*31/2 sum up to 500 = 500*501/2 to find the number of terms in a series: subtract the first term from the last term, divide it by 2, add 1