## SSC Mathematics by Rakesh Yadav

SSC Mathematics by Rakesh Yadav:- Mathematics Collection,  fast maths tricks, This Mathematics Book is very useful for SSC CGL, BANK, RAILWAYS,  RRB NTPC, LIC AAO, and many other exams.  Maths are very important for any competitive exam and these SSC maths notes by Yadav sir are very useful for it. this FREE Rakesh Yadav Class Notes PDF Hindi Download PDF will be very helpful for your examination.

Rakesh Yadav and Maths Shortcuts for FAST Calculations is very Simple and Easy. We also Cover Basic Topics like Maths, Geography, History, Polity, etc and study materials including previous Year Question Papers, Current Affairs, Important Formulas, etc for upcoming Banking, UPSC, SSC CGL Exams. Our PDF will help you to upgrade your marks in any competitive exam.

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### Time and Distance Formula

Math formula in hindi Algebra Math Formula बीजगणित सूत्र

1. प्राकृतिक संख्या (Natural Numbers) – an – bn = (a – b)(an-1 + an-2 +…+ bn-2a + bn-1)
2. सम संख्या (Even) –  (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)
3. विषम संख्या (Odd) – (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +…- bn-2a + bn-1)
4. (a + b + c + …)2 = a2 + b2 + c2 + … + 2(ab + ac + bc + ….
5. घातांक के नियम (Low Of Formula Exponents)
6. 1. (am)(an) = am+n
7. 2. (ab)m = ambm
8. 3. (am)n = amn
9. a2 – b2 = (a – b)(a + b)
10. (a+b)2 = a2 + 2ab + b2
11. a2 + b2 = (a – b)2 + 2ab
12. (a – b)2 = a2 – 2ab + b2
13. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
14. (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
15. (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
16. (a – b)3 = a3 – 3a2b + 3ab2 – b3
17. a3 – b3 = (a – b)(a2 + ab + b2)
18. a3 + b3 = (a + b)(a2 – ab + b2)
19. (a + b)3 = a3 + 3a2b + 3ab2 + b3
20. (a – b)3 = a3 – 3a2b + 3ab2 – b3
21. (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
22. (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)
23. a4 – b4 = (a – b)(a + b)(a2 + b2)
24. a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

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 is 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.

TOPICS – SSC Mathematics by Rakesh Yadav

NUMBER OF PAGES – 40

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