HIGHER MATHEMATICS

 🌐the GLOBAL ACADEMY SINGRAULI Tense ( काल ) Definition एवं Example | Tense in Hindi En glish ग्रामर में   Tense in Hindi का महत्व सर्वाधिक माना गया है, क्योंकि समय के अनुसार कार्य कर रहे वाक्य को वर्णन करने में अहम भूमिका निभाता है. हलाकि समय और काल दोनों अलग-अलग पहलु है. Time का सम्बन्ध क्रिया के अर्थ से रहता है जबकि Tense का सम्बन्ध  क्रिया के रूप से . लेकिन इन दोनों का सम्बन्ध Tense के फार्मेशन से पुर्णतः हो जाता है इसलिए इस चैप्टर का अध्ययन आवश्यक हो जाता है.  Tense के माध्यम से समय के तीनो पहलुओं का अध्ययन करना अनिवार्य है जिसमे Present Tense, Past Tense और Future Tense पर विशेष बल दिया जाता है ताकि समय और काल के अंतर को सावधानीपूर्वक समझा जा  Table of Contents Tense क्या है | ( Tense का परिभाषा ) | Definition of Tense in Hindi Tense का पहचान | टेंस पहचाचने के नियम Kinds of Tense in Hindi (Tense के प्रकार) Present Tense (Present Tense का प्रयोग) | Present Tense in Hindi Chart Past Tense (Past Tense का प्रयोग) | Past Tense in Hindi Chart Future T...

 Number System is divided into 4 parts: 1. Classification 2. Divisibility Test 3. Division and Remainder Rules 4. Sum Rules  In this e-book we will look into some tricks that will make the solving of the questions involving  number system easy. TRICKS TO REMEMBER FOR NUMBER SYSTEM:  1. Classification Types Description Natural Numbers all counting numbers ( 1,2,3,4,5….∞) Whole Numbers natural number + zero( 0,1,2,3,4,5…∞) Integers All whole numbers including Negative number + Positive  number(∞……-4,-3,-2,-1,0,1,2,3,4,5….∞) Even & Odd Numbers All whole number divisible by 2 is Even (0,2,4,6,8,10,12…..∞) and  which does not divide by 2 are Odd (1,3,5,7,9,11,13,15,17,19….∞) Prime Numbers It can be positive or negative except 1, if the number is not divisible by  any number except the number  itself.(2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61….∞) Composite Numbers Natural numbers which are not prime. Co-Prime Two natural number a and b are s...

  Digits 0,1,5,6 Digits 4,9 Digits 2,3,7,8 Digits 0,1,5,6 When we have these numbers (0,1,5,6) in the unit place, we get the same digit itself at the unit place when raised to any power, i.e. 0 n =0, 1 n =1, 5 n =5, 6 n =6. Let us apply this concept to the following questions. Example:  Find the Unit place digit of the following numbers: 360 244 Answer=  2974281 307 Answer= 4575 400000666 Answer= 5687686 265749375 Answer= Digits 4 & 9 Both these numbers have a cyclicity of only two different digits as their unit’s digit. In the case of 4 & 9 If the Power of 4 is Even, the result will be 6 If the Power of 4 is Odd, the result will be 4 If the Power of 9 is Even, the result will be 1 If the Power of 9 is Odd, the result will be 9 Example:  Find the Unit place digit of the following numbers: 4568474 26734258 Answer=  34564 45767843 Answer=  54857465789 5768454 Answer=  4576348567895627369 765787 Answer=  Digits 2,3,7,8 For Digit 2 When we hav...