ALGEBRA
BINOMIAL THEOREM
MOTION PROBLEM
(X + y)" x" + nx y +
PASCAL'S TRIANGLE
(a +b)
↑
=
(a +
b)
oth term
!
(n 1) ! (n
SUM
-
1) !
r +
COEFFICIENTS ,
1
SUBSTITUTE
TO
>
-
V + w
WIND
*
AIRPLANE TRAVELLING AGAINST THE
BOAT UPSTREAM
X
n
-
r + 1n
-
>
1
AIRPLANE
Y
L
=
V
WIND/
-
w
WIND
CLOCK PROBLEM
SOC
VARIABLE
EACH
SOE
EXPONENTS
OF
WIND/
WITH THE
n +1
=
=
OF
AIRPLANE TRAVELLING
-
-
SUM
Xt
=
AIRPLANE
n
4th term
*
yn-n + 1 r-1
Y
nCm
(x +y)n
or
S
↑
33
=
y
↑
NO OF TERMS
NOTE :
+
BOAT DOWNSTREAM
2
I
+
nx'yn
M
&
(a + b)2
(a +b)
+
...
+
,
(xn +yk)n
SOE
= (n 1) (n + k)
+
&
NUMBER
FOR A
LET
X
y
z
HENCE
DIGIT PROBLEMS
LET X
3-DIGIT NUMBER
=
=
=
*
HUNDREDS DIGIT
TENS
DIGIT
LET
IS :
/60
NOTE :
FUTURE
PRESENT
GYRS AGO
X
-
5 YRS
IN
X
6
X +5
WORK PROBLEM
RATE =
↑
=
TIME TO FINISH THE
WORK
WORK
TIME
WORK DONE-RATEX TIME
*
EWORK = 1
WA
+
=
(Rt)
2
wp + Wc
=
1
Rata + Rptp +Retc 1
=
*
=
=
distance travelled by the
hour hand
by the second hand
distance travelled by the minute hand
distance travelled
/720 distance travelled by the hour hand
*
PROBLEM
PAST
X
*
100X + 10y + z
AGE
=
12
UNITS DIGIT
THE NUMBER
distance travelled by the minute hand
=
LABOR-TIME REQUIREMENT
=
Z(LABORXTIME)
=
15 minutes
=
90 degrees