Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Surds & indices in business mathematics

4,496 views

Published on

  • Be the first to comment

Surds & indices in business mathematics

  1. 1. SURDS & INDICES IN BUSINESS MATHEMATICS by : DR. T.K. JAIN AFTERSCHO ☺ OL centre for social entrepreneurship sivakamu veterinary hospital road bikaner 334001 rajasthan, india FOR – CSE & PGPSE STUDENTS (CSE & PGPSE are free online programmes open for all, free for all) mobile : 91+9414430763
  2. 2. My words..... My purpose here is to give a few questions, which are often asked in aptitude tests and competitive examinations. Please prepare well for your examinations. Please pass this presentation to all those who might need it. Let us spread knowledge as widely as possible. I welcome your suggestions. I also request you to help me in spreading social entrepreneurship across the globe – for which I need support of you people – not of any VIP. With your help, I can spread the ideas – for which we stand....
  3. 3. What is the value of (81X^4Y^8)^(1/4) 81 can be written as : 3^4 thus we can write it as : (all the powers gets cancelled) (3Xy^2) answer
  4. 4. What is the value of (256/81)^(1/4)? 256=4^4 = (4/3) ^ 4 * ¼ so answer is : 4/3 (as all the powers get cancelled). Answer
  5. 5. What is the value of (1/1024)^(-1/10)? In order to remove negative sign, we put it like this : = (1024)^(1/10) we know that 1024 = 2^10 = (1/2)^10 *1/10 = ½ answer
  6. 6. What is the value of 3^7 * 3 ^-5 ? We can put it as : 3 ^ (7 – 5) =3^2 = 9 answer
  7. 7. Find the value of 2^(-1/10) * 1024^(1/4)? Options : 2, 4, 16, none of these answer : none of these =(1/2)^(1/10) * 1024^(1/4) =1/2^(1/10)*512^(1/2) answer
  8. 8. What is the value of (75/243)^(-1/2)? In order to remove negative sign, first reverse these : (243 / 75) ^ (½) both the numbers are divisible by 3, so : (81/25)^1/2 we can write it as : (81)^1/2 / (25)^1/2 =9/5 answer
  9. 9. What is the value of (90/250)^1/2 ? Solving this we get : (9/25)^(1/2) =3/5 answer
  10. 10. What is the value of : Let us multiply 4*3 and let us multiply sqrt(3) we get : 4*3*3 = 36 answer
  11. 11. What is the value of 28 = 4*7 sqrt of 4 = 2, so 2 can be multiplied to 3. It can be written as : 5 – 6 (sqrt (7)) =-sqrt(7) answer
  12. 12. What is the value of : In order to simplify it, multiply it by : the value of its denominator we get : (2*3*sqrt(5)) / (9*5) =6*sqrt(5)/45 =2(sqrt(5))/15 answer
  13. 13. Simplify : We know that 96=4*4*6 we can write it as : 4 *sqrt(6) answer
  14. 14. Simplify : In order to simplify, we have to multiply it with 2+(sqrt(2)) we get : 3(2+sqrt(2)) / (4-2) =6 + (sqrt(2)) / 2 =3 + 1/(sqrt(2)) answer
  15. 15. What will you get from : 16^(3/2) ? = 16 ^ (½ *3) 4^3 =64 answer
  16. 16. What will you get : 512^(2/9)? =512^(1/9 * 2) =(2^9)^(1/9 * 2) =2^2 =4 answer
  17. 17. What do you get from : (1/81)^(-5/4)? =(81)^(5/4) =(3^4)^(5/4) =3^5 =243 answer
  18. 18. What will you get from (256/81)^(-3/4) ? =(81/256)^(3/4) =(3/4)^3 =27/64 answer
  19. 19. What will you get from : (.0000012/.00003)^(-1/2)? =(.04)^(-1/2) =(1/.04)^(1/2) =1/.2 =5 answer
  20. 20. RULE : a^0 = 1 IF ZERO IS PUT AS POWER OF ANY NUMBER, IT WILL BECOME 1. THUS IF YOU PUT POWER OF ZERO ON 100000, IT WILL BE EQUAL TO 1.
  21. 21. RULE : (a/b)^n = a^n / b^n IF YOU TAKE UP POWER OVER A FRACTION, YOU CAN PUT IT SEPARATELY ALSO. EXAMPLE : (2/3) ^3 = 8/27 ANSWER
  22. 22. (27)^2/3 =? 1. FIRST WE PUT 27 AS 3^3 BECAUSE WE KNOW 3*3*3 = 27 = (3^3)2/3 WE CAN CANCEL POWR OF 3 3^2 = 9. ANSWER
  23. 23. (1024)^-4/5 =? 1. FIRST PUT 1024 AS 2^X, WE KNOW THAT 2*2*2*2*2..... (TILL 10) = 1024 SO WE CAN WRITE : 1024 = 2^10 = 4^5 (4^5)-4/5 (NOW CANCEL 5) = (4)-4= 1/(4)4 (ANY POWER IN NEGATIVE WILL PUT THE NUMERATOR INTO DENOMINATOR) = 1/256.
  24. 24. If 2^(x-1)+ 2^(x+1) = 256 then find the value of x .(X-1) * (X+1) = (X^2 – 1) So we can write it as : =2^(x^2-1) = 256 now factorise 256 = 2*2*2*2*2*2*2*2=2^8 2^(x^2 -1) = 2^8 or X^2 = 9 X = 3 answer
  25. 25. Simplify : 125^(2/3) * 25^(1/2)*5*5^(1/2) 125^(2/3) = (5^3)^(2/3) 3 gets cancelled so : 5^2 = 25 =5*5 we can write it as : 5*5*5*5*5^(1/2) =5^4 * 5^ (½) (add the two powers, when there is multiplication of their base) =5^(9/2) answer
  26. 26. Download more resources http://www.esnips.com/web/onlinespeeches
  27. 27. http://www.esnips.com/doc/a4161e7a-6859-4583-b3b9-fc8883819ca2/REASONING-QUIZ http://www.esnips.com/doc/292f3066-dfff-4507-9ef8-f07991c83ca6/reasoning-made-simple http://www.esnips.com/doc/61098141-2b35-4dd2-8c71-a26c481e4406/25-JULY-REASONING--DI http://www.esnips.com/doc/6335a093-fa8b-4829-91b7-99614c3b36b4/16-July-Reasoning-I http://www.esnips.com/doc/17998a15-f26a-4de7-b8a7-2b964fcde13f/Logic-and-Reasoning http://www.esnips.com/doc/816ec880-c1d5-436c-b5f3-d05525416f0e/1-AUGUST-Reasoning--DI http://www.esnips.com/doc/026362a7-efe4-42ef-afe2-1cf7c672d11f/17-reasoning-II http://www.esnips.com/doc/ebceaf38-3af0-4b62-bd4a-1a9c1b002d47/reasoning-15-may
  28. 28. Download links .... http://www.esnips.com/doc/1ca22536-6475-4fa4-bb7f-5f77757301a1/30-may-reasoning http://www.esnips.com/doc/3e7518ef-dc30-4309-af0f-8dd63ec028db/16-July-Reasoning-I http://www.esnips.com/doc/f5f8334d-7642-4154-9bfa-96eee4527798/11-July-Reasoning-II http://www.esnips.com/doc/caf3db9b-7739-4f37-86a3-1fd675702b64/11-July-Reasoning http://www.esnips.com/doc/ebceaf38-3af0-4b62-bd4a-1a9c1b002d47/reasoning-15-may http://www.esnips.com/doc/3aab1a3a-43f3-49a8-b819-af47124d2382/19-JUNE-REASONING--DI
  29. 29. Download links... http://www.esnips.com/doc/8f6897b7-0bab-4e53-858a-697bf192fd7b/reasoning-and-DI-12-September http://www.esnips.com/doc/23aac52e-3ecf-4d89-8b69-57d3fed77fd2/4-june-reasoning http://www.esnips.com/doc/48840095-2865-4eb1-8810-e818aacd1e25/4-JULY-Reasoning--DI http://www.esnips.com/doc/67a0ff61-c31f-43a0-9941-49a17b15c8c3/3-JULY--Reasoning--DI http://www.esnips.com/doc/f6d85f1b-881b-4e93-8341-8c779e98868d/1-AUGUST-Reasoning--DI
  30. 30. Download links... http://www.slideshare.net/tkjainbkn/reasoning http://www.slideshare.net/tkjainbkn/reasoning-2814907 http://www.scribd.com/doc/28677498/
  31. 31. Download links.... http://www.scribd.com/doc/28617263/Syllabus-of-Mat-Rmat-Cet-2010 http://www.scribd.com/doc/28617157/Vedic-Mathematics-for-All http://www.scribd.com/doc/28616660/English-Improvement-for-Competitive-Examinations-and-Aptitude-Tests http://www.scribd.com/doc/28531795/Mock-Paper-Cat-Rmat-Mat-Sbi-Bank-Po-Aptitude-Tests http://www.scribd.com/doc/23610071/Reasoning http://www.scribd.com/doc/14675645/10-July-Reasoning-II http://www.scribd.com/doc/23393680/REASONING-AFTERSCHOOOL http://www.scribd.com/doc/6583303/Reasoning-Afterschoool
  32. 32. Download links for material in english http://www.authorstream.com/presentation/tkjainbkn-146799-english-error-spotting-sentence-im-law-cat-gmat-mba-management-business-research-cfp-cfa-frm-cpa-ca-cs-icwa-india-rajasthan-improvement-entertainment-ppt-powerpoint/ http://www.docstoc.com/docs/3921499/ENGLISH-%E2%80%93-ERROR-SPOTTING-AND-SENTENCE-IMPROVEMENT http://www.slideshare.net/tkjainbkn/english-error-spotting-and-sentence-improvement-presentation http://www.scribd.com/doc/19641980/Error-Spotting http://www.scribd.com/doc/11629005/English-Error-Spotting-and-Sentence-Improvement http://www.scribd.com/doc/14660441/English-Afterschoool-23-May http://www.scribd.com/doc/6583519/English-Afterschoool-21-May http://www.scribd.com/doc/6583520/English-Afterschoool-21-May-2
  33. 33. Download links for material on English http://www.scribd.com/doc/6583315/English-Improvement-Afterschoool http://www.scribd.com/doc/6583518/English-20-May-Afterschoool http://www.scribd.com/doc/28531795/Mock-Paper-Cat-Rmat-Mat-Sbi-Bank-Po-Aptitude-Tests
  34. 34. Links http://www.scribd.com/doc/14647398/English-Improvement-and-Word-Power http://www.scribd.com/doc/14660508/General-Knowledge-24-May-3 http://www.scribd.com/doc/19628963/Mathematics http://www.scribd.com/doc/19492878/Direct-and-Indirect-Speech-in-English
  35. 35. ADDITIONAL LINKS http://www.scribd.com/doc/11692763/Advanced-Mathematics-for-GMAT-CAT-MAT http://www.scribd.com/doc/23407929/Advanced-Mathematics-for-GMAT-CAT-MAT http://www.scribd.com/doc/11625819/Basic-Mathematics-for-Cat-GMAT-Mat http://www.scribd.com/doc/23407954/mathematics-for-OPENMAT-MAT-CAT-GMAT-25-april http://www.scribd.com/doc/23407934/Advanced-Mathematics-for-GMAT-CAT-MAT2 http://www.scribd.com/doc/6583520/English-Afterschoool-21-May-2 http://www.scribd.com/doc/23300964/Advanced-Mathematics-for-GMAT-CAT-MAT2 http://www.scribd.com/doc/23407945/MATHEMATICS-FOR-ATMA-CAT-MAT-GMAT-BANK-PO-GRE
  36. 36. http://www.scribd.com/doc/6583303/Reasoning-Afterschoool
  37. 37. http://www.scribd.com/doc/23393680/REASONING-AFTERSCHOOOL http://www.scribd.com/doc/23393719/reasonning-44 http://www.scribd.com/doc/6583347/DI-and-Reasoning http://www.scribd.com/doc/23407636/10-July-reasoning http://www.scribd.com/doc/6583273/Reasoning-Quiz http://www.scribd.com/doc/23393476/10-July-reasoning http://www.scribd.com/doc/23393716/REASONING-QUIZ http://www.scribd.com/doc/14705025/17-Reasoning-II http://www.scribd.com/doc/23393478/10-July-reasoning-II
  38. 38. Free download useful material ... http://www.scribd.com/doc/23393316/general-knowledge http://www.scribd.com/doc/23609752/Group-Discussion-Afterschoool http://www.scribd.com/doc/6583547/General-Knowledge-24-May
  39. 39. THANKS.... GIVE YOUR SUGGESTIONS AND JOIN AFTERSCHOOOL NETWORK / START AFTERSCHOOOL SOCIAL ENTREPRENEURSHIP NETWORK IN YOUR CITY / CONDUCT WORKSHOP ON SOCIAL ENTREPRENEURSHIP IN YOUR COLLEGE / SCHOOL / CITY [email_address] JOIN OUR NETWORK TO PROMOTE SOCIAL ENTREPRENEURSHIP

×