# Rakesh Yadav Class Notes Math in Hindi PDF ## Rakesh Yadav Maths Book

Rakesh Yadav Class Notes Math in Hindi PDF:- Today, we are sharing the Maths PDF for you. This Maths Book Download 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. Mathematics notes are very important for any Sarkari exam. This Maths PDFis 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 Formula 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.

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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)

### Maths QUESTION ANSWER

1. The average of 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.

### #### Topic name:- Rakesh Yadav Class Notes Math in Hindi PDF

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