here are some mixed shrtcts i hav found...................................

 

1)The value of 2.357 (bar on 357) is?

 

in these typeof qs look at the no. of terms having bar on them (here three)

so denominator will b 999 (if 2 terms hav bar then it will b 990 etc....)

 

then write 2357 and subtract the no. bfore decimal i.e

 

2357-2 = 2355

so the ans will be 2355 / 999

 

 

 

 

2)  aⁿ + bⁿ / a^n-1 + b^n-1

 

= o then it is Harmonic mean

= 1 then it is Arthmetic mean

=1/2 then it is Geometric mean

 

3) If in a GP of +ive terms any term is = to sum of next 2 terms then common ratio is........................2sin18 degrees

 

 

4)Image of interval ( functions)

 

Image of interval ( -1 , 3 )

f (x) = 4x³ - 12x is.............................

jst satisfy both the values ans comes out to b 8 and 72 but..................

look at coeff. of  intervals i.e. -1 and +1

so ans is (-8 , 72)

 

plzzzzzz rate me if u find these cool