Rakesh Yadav sir Class Handwritten Notes PDF

Rakesh Yadav sir Class Handwritten Notes PDF

 Rakesh Yadav sir Class Maths Handwritten Notes

Rakesh Yadav sir Class Handwritten Notes PDF:– Today, we are sharing the Rakesh Yadav Mathematics Book for you. This Rakesh Yadav sir Maths Handwritten Notes can prove to be important for the preparation of upcoming government exams like SSC CGL, BANK, RAILWAYS, RRB NTPC, LIC AAO, and many other exams. Maths trick question notes are very important for any Sarkari exam. This Maths PDF is being provided to you free of charge, which you can DOWNLOAD by clicking on the DOWNLOAD button given below, and you can also DOWNLOAD some more new PDFs related to this Maths tricks competitive exams by going to the related notes. You can learn about all the new updates on PDFDOWNLOAD.IN by clicking on the Allow button on the screen.

pdfdownload.in is an online educational website, where we are sharing Rakesh Yadav Maths PDF for free DOWNLOAD for UPSC, SSC, BANK, RAILWAY, LIC, and many other exams. Our General Science Questions PDF is very simple and easy to understand. We also cover basic subjects like Mathematics, Geography, History, General Science, Politics, etc. We also share study material including previous year question papers, current affairs, important sources, etc. for upcoming government exams. Our PDF will help you prepare for any SARKARI EXAM.

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 Important Maths Formula 

  • प्राकृतिक संख्या (Natural Numbers) – an – bn = (a – b)(an-1 + an-2 +…+ bn-2a + bn-1)
  • सम संख्या (Even) –  (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)
  • विषम संख्या (Odd) – (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +…- bn-2a + bn-1)
  • (a + b + c + …)2 = a2 + b2 + c2 + … + 2(ab + ac + bc + ….
  • घातांक के नियम (Low Of Formula Exponents)
  • 1. (am)(an) = am+n
  • 2. (ab)m = ambm
  • 3. (am)n = amn
  • a2 – b2 = (a – b)(a + b)
  • (a+b)2 = a2 + 2ab + b2
  • a2 + b2 = (a – b)2 + 2ab
  • (a – b)2 = a2 – 2ab + b2
  • (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
  • (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
  • (a – b)3 = a3 – 3a2b + 3ab2 – b3
  • a3 – b3 = (a – b)(a2 + ab + b2)
  • a3 + b3 = (a + b)(a2 – ab + b2)
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3
  • (a – b)3 = a3 – 3a2b + 3ab2 – b3
  • (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
  • (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)
  • a4 – b4 = (a – b)(a + b)(a2 + b2)
  • a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

 



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Maths QUESTION ANSWER

1. The average of the first 50 natural numbers is …………..

A. 25.30
B. 25.5
C. 25.00
D. 12.25
 B. 25.5 
2. A fraction which bears the same ratio to 1/27 as 3/11 bear to 5/9 is equal to …………

A. 1/55
B. 55
C. 3/11
D. 1/11
 A. 1/55 

3. The number of 3-digit numbers divisible by 6, is ……………

A. 149
B. 166
C. 150
D. 151
 C. 150 
4. What is 1004 divided by 2?

A. 52
B. 502
C. 520
D. 5002
 B. 502 

 5. A clock strikes once at 1 o’clock, twice at 2 o’clock, thrice at 3 o’clock, and so on. How many times will it strike in 24 hours?

A. 78
B. 136
C. 156
D. 196
 C. 156 

6. 106 × 106 – 94 × 94 =?

A. 2004
B. 2400
C. 1904
D. 1906

  B. 2400 

7. Which of the following numbers gives 240 when added to its own square?

A. 15
B. 16
C. 18
D. 20

  A. 15 

8. The simplest form of 1.5: 2.5 is …………….

 A. 6: 10
B. 15: 25
C. 0.75: 1.25
D. 3: 5
  D. 3 : 5 
9. 125 gallons of a mixture contains 20% water. What amount of additional water should be added such that water content be raised to 25%?
A. 15/2 gallons.
B. 17/2 gallons.
C. 19/2 gallons.
D. 81/3 gallons.

  D. 81/3 gallons. 

10. Evaluation of 83 × 82 × 8-5 is …………..

A. 1
B. 0
C. 8
D. None of these.
  A. 1. 




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