গণিতের শর্টকাট ফর্মুলার (ShortCut Math Techniques) এক্সক্লুসিভ বাংলা ই-বুক ।বিসিএস,ব্যাংকার্স রিক্রুটম্যান্ট, IBA,MBA,GMATও GRE ও যে কোন প্রতিয়োগিতামূলক পরীক্ষার প্রস্ততির জন্য
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1. Want more Updates http://facebook.com/tanbir.ebooksfacebook
/gmail/skype: - http://tanbircox.blogspot.com Menu Bar View Auto
/Automatically Scroll ( ) pdf Options View Go To ( Adobe Reader
Foxit Reader ), Page number ; OK
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/gmail/skype: - http://tanbircox.blogspot.com+ Plus / add [ Sum /
Total ] Minus / Subtract /Deduct [ Difference ] Times / Into/ dot
/of /Multiply [Product / Multiplication ], /,Division , Divisible ,
Remaindera(dividend-) b(Divisor-) = c(Quotient-) Plus or Minus =
Equal / Is Approximately Equal Is not Equal < Is Less then {5
< 10} Is not less then { 10} Is less than or equal to { x X
}> Is greater then {5> 2} Is not greater then {5 20} Is
greater than or equal to ( / ) % Percentage( 100 ) Infinity /
Varies as / is Proportional Implies/or If and only if Pi
1,2,3...n[,,]Constant / x,y,z Variable /
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/gmail/skype: - http://tanbircox.blogspot.com2x x + x =a +bx+c
Expression [a , bx,c Term]0 n0 =n , n0 =0 , 0/n =0 , n/o =
(anything 0) = Undefined ()|x| [x] Absolute Value ( ) Negative
Positive Square Root , =2, =3Cube Root , =3, =4n Root n x 1/n X
y=Summation ,X n ,*( )+- Bracket Logarithmsa x ( n= )[ + , ] 10 n!
n Factorial n n (n-1) (n-2)1 [ 5!=54321]nprPermutation [ n npr
,npr= n(n-1) (n-2) (n-3) ..(n-r+1) Ex:-6p3=654 ]ncrCombination / /
,ncr =( )
4. Want more Updates http://facebook.com/tanbir.ebooksfacebook
/gmail/skype: - http://tanbircox.blogspot.comA=*, , , + A , a,b,c,d
Intersection /cap [ / ] [AB={x:xA xB}] Union/cup [ ]=> ( )
[AB={x:xA xB}] Element of / Belongs to / [Ex: bA] Is not an Element
of/not Belongs to / Subset of [A / B / ]/ Superset Empty Set AB[B A
, A / A ] A-B={x:xA xB}A Complementary set [UA=U-A={xU : xA }P(A)
Power Set [A n P(A) 2n]NZQR N( / +n), Z( +n,0,+n)Q(0,+n, ),R ( ), (
) Q=R-Q Straight line ( ) Ray ( ) Line Segment ( ) Similar to
Almost Equal to Is Equivalent to / Congruent
17. Want more Updates http://facebook.com/tanbir.ebooksfacebook
/gmail/skype: - http://tanbircox.blogspot.comnLet the Numbers =x
and (x+1)According to the Question, (x+1)2 x2= n x = , = + = ( a ,
b , c d) .. = ( a , b , c d) .. + = ( a , b , c d) .. + / = .. ..
.. = .. .. = .. =
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/gmail/skype: - http://tanbircox.blogspot.com- (a) 2 (b) 3 = 61 = 6
10 =(610) = .. = = -M A , M = M A [ A =]N B , N = N B = M + N = AM
+BN =
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/gmail/skype: - http://tanbircox.blogspot.comVaries as / is
Proportional - ( , , , ) , = = , = a, b, c ,a:b =b:c a+b+c = S () a
= S a:b = x:y = (xl): (yl) = xl : yl b:c =l:m = (ly): (my)= yl : my
a:b:c = xl : yl : myFormula:-- = a + b + c = n ( )
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/gmail/skype: - http://tanbircox.blogspot.comFormula:- T =
Formula:- T =Formula:- T =Formula:- T = [ ]SolutionX 20 = 1 X 1 = Y
1 = Z 1 = X , Y Z 1 = ( ) = 1 ,, 1 ,, ,, ,, = 8
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/gmail/skype: - http://tanbircox.blogspot.comFormula:-- 1 = 1/8 ,,
6 ,, ,, ,, = 6/8 = (1 ) = X 1 = 20 ,, ,, ,, = (20 ) =20/4 = 5
Formula:-- X 1 = 1/ 20 5 ,, ,, =0 X 5 X , Y Z = (1 ) = X , Y Z 1/8
= 1 ,, 1 ,, ,, ,, = 8 ,, ,, ,, ,, = = 6 = X , Y Z + X 5 = 6 + 5 =
11
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/gmail/skype: - http://tanbircox.blogspot.comFormula:- T =( ) t U =
Up , D = Down T =( ) ( ) 1= 77MinFormula:-- ( ) n = 1 ( ) = = = + =
, U V [ U > V ] , (Relative Speed) = U +V , (Relative Speed) = U
V / / X T T X ,, 1 ,, ,, ,, = =
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/gmail/skype: - http://tanbircox.blogspot.compLt T =( Lp + Lt) ,, 1
,, ,, ,, =( ) =( )Formula:-- ,1 (60 60) = 45 = (45 1000) 60 ,, ,,
=0 0 750 60 , = + 750 = + 100 = 650 Formula:- =( ) 45 =( )[ T C
nver S eed in km/hr to m/sec multiply speed by ] =650x T = ,
(Relative Speed) = , (Relative Speed) = T =( )= 11 Second [1 km/hr
= meter/second ]
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/gmail/skype: - http://tanbircox.blogspot.comFormula:- T = = 0 T =0
0( )= 9 Second [1 km/hr = meter/second ]Formula:- T = T =00 0
(Principal / Capital / Sum )[ Invested] / / ( Interest / Extra
money for Interest) [ ] / [ Per-annum ] (Rate of Interest) [ , 100
1 ]/-/ (Amount/ Interest-principal/Increased Principal) = + P t = p
t 1
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/gmail/skype: - http://tanbircox.blogspot.com r ,100 1 r 1 1 P 1 P
t n I = I = npr [r = r% = r/100][ ] A = P + I A = P + nPr = P (1 +
nr) P = [r = r% = r/100] P =[ , , ]
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/gmail/skype: - http://tanbircox.blogspot.com P rn C = p ( ) = (C)
(P)= P ( ) P = ( ) = ( ) Solution-700 5 = 105 100 ,, 1 ,, ,, =
Formula:- I = 105 = r = , X 5 - = 2X = - = 2X X = X X 5 = X 100 ,,
1 ,, ,, = = 20 = 20%
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/gmail/skype: - http://tanbircox.blogspot.com (Cost Price ) CP :- /
(Selling Price )SP:- (Profit) = (SP) - (CP)/ (Profit /Gain)
P:-(loss) = (CP) - (SP)/ (Loss)L:- , - X % x % x C x % , = X % c =
( C + ) X % C = ( C ) C P , = Furmula: 1 (Profit %) =00( ) Profit %
=00%
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/gmail/skype: - http://tanbircox.blogspot.comFurmula: 1 (Loss %) =(
) loss % =000Furmula:(n) , (n+1) (n+2) , , ? (loss) =( , / -) loss
% =00( 0)Formula:- =n , First Value=F%, Second Value=S% = n [ + , ]
= 12 Formula:- = ( )( ) = 0000 0
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/gmail/skype: - http://tanbircox.blogspot.com F S F + S ( F S) F S
= F S = 30 = 20 + 15 (F S ) (F S ) 1 12 12 = 3600 ,, ,, ,, ,, = 0N
= n 0 1 0 ( )H M =( ) ( ) HM = [ () ] 0 / 0 Examples: ( ) ( )=( ) (
)= [ > 0 ] = 0 ( ) ( )= 0
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/gmail/skype: - http://tanbircox.blogspot.com:( ) ( ) ( x ) x ( ) (
) () x :, A= q n, q = n =(, , W = q x n, q = ,n = x =w = n x, d = v
t., v = t=, Q(t) = Q0 q t, Q0= q = t= Q(t) = t ( + )P = b r, b =r =
= = S%P= = b S%
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