100+ Math Tricks PDF In Hindi Free PDF Download

100+ Math Tricks PDF In Hindi Free PDF Download
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100+ Math Tricks PDF In Hindi Free PDF Download

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One Liner 100+ Math Tricks PDF In Hindi Free PDF Download

    1. a2 – b2 = (a – b)(a + b)
    2. (a+b)2 = a2 + 2ab + b2
    3. a2 + b2 = (a – b)2 + 2ab
    4. (a – b)2 = a2 – 2ab + b2
    5. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
    6. (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
    7. (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
    8. (a – b)3 = a3 – 3a2b + 3ab2 – b3
    9. a3 – b3 = (a – b)(a2 + ab + b2)
    10. a3 + b3 = (a + b)(a2 – ab + b2)
    11. (a + b)3 = a3 + 3a2b + 3ab2 + b3
    12. (a – b)3 = a3 – 3a2b + 3ab2 – b3
    13. (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
    14. (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)
    15. a4 – b4 = (a – b)(a + b)(a2 + b2)
    16. a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
      • 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

(आंशिक घातांक) Fractional Exponents

Exponent Law

      1. √a = a 1/2
      2. ∛a = a 1/3
      3. n √a = a 1/n
      4. a p.  a q = a p + q
      5. a p / a q  = a p – q
      6. a p.  b p = (ab) p
      7. (a p ) q.  = a pq
      8. a 0 .  = 1
      9. a –n.  = 1/a n


Important Algebra Formulas

Square Formulas

      1. (a + b) 2 = a 2 + b 2 + 2ab
      2. (a − b) 2 = a 2 + b 2 − 2ab
      3. a 2 − b 2 = (a − b) (a + b)
      4. (x + a) (x + b) = x 2 + (a + b) x + ab
      5. (a + b + c) 2 = a 2 + b 2 + c 2  + 2ab + 2bc + 2ca
      6. (a + (−b) + (−c)) 2 = a 2 + (−b) 2  + (−c) 2 + 2a (−b) + 2 (−b) (−c) + 2a (−c)(a – b – c) 2 = a 2 + b 2 + c 2 − 2ab + 2bc − 2ca

Cube Formulas

      1. (a + b) 3 = a 3 + b 3 + 3ab(a + b)
      2. (a − b) 3 = a 3 – b 3 – 3ab(a – b)
      3. a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
      4. a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
      5. (a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
      6. a 3 + b 3 + c 3  − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)

Power n Formula

      1. a n − b n = (a − b) (a n−1 + a n−2  b 1  + a n−3  b 2 + …. + a 1  b n−2  + b n−1  )



Type Of Questions Comes in the Exams

1. 1043 को किसी संख्या से भाग देने पर भागफल 11 तथा शेषफल 20 प्राप्त होता है, भाजक ज्ञात कीजिए ?

  • (A) 95
  • (B) 93
  • (C) 73
  • (D) 97
  • B 

2. किसी संख्या को 195 से भाग देने पर 47 शेष बचते हैं, इस संख्या को 15 से भाग देने पर शेष क्या बचेगा ?

  • (A) 5
  • (B) 4
  • (C) 3
  • (D) 2
  • D 

3. 8765 * 974 – 8765 * 874 = ?

  • (A) 870500
  • (B) 876500
  • (C) 870000
  • (D) 877700
  • B 

4. 1994 * 1994 = ?

  • (A) 3776036
  • (B) 3976036
  • (C) 3976037
  • (D) 3976000
  • B 

5. 883 * 883 – 117 * 117 = ?

  • (A) 767000
  • (B) 766006
  • (C) 766000
  • (D) 866000
  • C 

 

6. एक पुस्तक का क्रयमूल्य ₹110 तथा विक्रयमूल्य ₹123.20 है। इसे बेचने पर पुस्तक विक्रेता को कितने प्रतिशत लाभ होगा ?

  • (A) 11%
  • (B) 12%
  • (C) 13%
  • (D) 14%
  • Answer:(B)

7. एक कुर्सी को ₹873 में बेचने से व्रिकेता को 10% हानि होती है, कुर्सी का क्रय-मूल्य कितना है ?

  • (A) ₹970
  • (B) ₹900
  • (C) ₹950
  • (D) ₹980
  • Answer:(A)

8. यदि किसी वस्तु को 5% हानि की अपेक्षा 10% लाभ पर बेचा जाता तो विक्रेता को ₹75 अधिक मिलते। वस्तु का क्रयमूल्य कितना है ?

  • (A) ₹550
  • (B) ₹500
  • (C) ₹530
  • (D) ₹520
  • Answer:(B)

9. रमेश ने एक गाय ₹8580 में बेचकर 4% लाभ कमाया, उसने यह गाय कितने रूपये में खरीदी ?

  • (A) ₹8270
  • (B) ₹8250
  • (C) ₹8650
  • (D) ₹9250
  • Answer:(B)

10. एक फल विक्रेता ने ₹15 के 6 की दर से केले खरीद कर ₹12 के 4 की दर से बेच दिए, उसका लाभ अथवा हानि प्रतिशत ज्ञात कीजिये।

  • (A) 17%
  • (B) 19%
  • (C) 20%
  • (D) 22%
  • Answer:(C)


DOWNLOAD MORE PDF

Maths Notes CLICK HERE
English Notes CLICK HERE
Reasoning Notes CLICK HERE
Indian Polity Notes CLICK HERE
General Knowledge CLICK HERE
General Science Notes
CLICK HERE

 

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