
100+ Math Tricks PDF In Hindi Free PDF Download
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One Liner 100+ Math Tricks PDF In Hindi Free PDF Download
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- 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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- 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 + …
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घातांक के नियम (Low Of Formula Exponents)
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- (am)(an) = am+n
- (ab)m = ambm
- (am)n = amn
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(आंशिक घातांक) Fractional Exponents
Exponent Law
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- √a = a 1/2
- ∛a = a 1/3
- n √a = a 1/n
- a p. a q = a p + q
- a p / a q = a p – q
- a p. b p = (ab) p
- (a p ) q. = a pq
- a 0 . = 1
- a –n. = 1/a n
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Important Algebra Formulas
Square Formulas
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- (a + b) 2 = a 2 + b 2 + 2ab
- (a − b) 2 = a 2 + b 2 − 2ab
- a 2 − b 2 = (a − b) (a + b)
- (x + a) (x + b) = x 2 + (a + b) x + ab
- (a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ca
- (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
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Cube Formulas
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- (a + b) 3 = a 3 + b 3 + 3ab(a + b)
- (a − b) 3 = a 3 – b 3 – 3ab(a – b)
- a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
- a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
- (a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
- a 3 + b 3 + c 3 − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)
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Power n Formula
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- 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 )
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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
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
3. 8765 * 974 – 8765 * 874 = ?
- (A) 870500
- (B) 876500
- (C) 870000
- (D) 877700
4. 1994 * 1994 = ?
- (A) 3776036
- (B) 3976036
- (C) 3976037
- (D) 3976000
5. 883 * 883 – 117 * 117 = ?
- (A) 767000
- (B) 766006
- (C) 766000
- (D) 866000
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%
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
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
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
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%