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TNPSC MATHS. R.SIVA M.Sc.,B.Ed., Cell : 8015118094 mail id : [email protected]
For Full materials contact Cell 8015118094 Page 1
www .tnpsctamil.in !"# !$%# . TNPSC '( * +!'# - ( Aptitude and Mental Ability ) 0 - + !"2- !$%#. 3! 04# . '- # . 5* Aptitude and Mental Ability ! '" #( 8015118094 . =# !% [email protected] . '> #4# .
@+% www .tnpsctamil.in =
# . Percentage
Highest Common Factor (HCF)
Lowest Common Multiple (LCM)
Ratio and Proportion
Simple interest
Compound interest
Area
Volume
Time and Work #
3 !'# 0 3 '# *' 3 4'# +C 3 !'# E'3 - >'# 1 # = 24 1 = 7 # 1 +% = 12 4# 1 +% = 365 $# 1 @! +% = 366 $# 10 +%# = 1 +% 100 +%# = 1 M+% 1000 +%# = 1 -2 1 = 60 3# 1 = 60 4# = 60 x 60 = 3600 3# 1 # = 24 = 1440 4# ( 24 x 60 )
www.tnpsctamil.in 1 of 51.

1 # = 86 , 400 3# ( 24 x 60 x 60 ) 60 3 = 1
1 3 =
60 4# = 1
1 =
3 4 60 - +% 120 3 4 0
120 3 = 120 x = 2 4#
4 3 60 - = +% 4 60 - +%
360 4 0
360 4# = 360 x = 6
4 60 - = +% 3 45 4 4 0 1 = 60 4# 3 = 3(60) = 180 4# 3 45 4# = 180 + 45 = 225 4#
3 3600 - 5400 3 0
5400 3 = 5400 x = = 1 3 3600 - = #2( 12 5- +- 12 5- 5. +- 12 5- #2( 12 - . 5- 12 5 - 12 5 '> = 2 24
- - 0 - 2- 12
R$ +%. 5- 2- !3 * +%. 8.00 5. = 8.00 10.25 . = 10.25 + 12 = 22.25 12 +- = 12.00
- - 12 =! 12 +% 23.10 = 23.10 12.00 = 11.10 . 09.20 = 09.20 5. 24 = #2( 12
2 S- 5. 4.00 5- . 4.00 # 2 4.00 . = 4 + 12 = 16 = 4.00 . 4.00 5.= 16.00 4.00 = 12

( +3 - => 22.10 "!$% 0 # 02.50 > . +3 3 R0
> = 02.50 - => "!$ = 22.10 (5 #) = 24.00 22.10 + 2.50 = 1.50 + 2.50 = 4.40 +3 3 = 4 40
= + 5- 9.00 #2U . #2 53> 3 $% E$3 - 5.30 = 2- E$ $% 2 => E$3=> "!$ 9.00 5, "!$ - => 12.00 !$ 12.00 9.00 = 3.00 E$3 = = 5.30 . E$ $% 2 => = 3.00+ 5.30 = 8.30
@! +%
M+%# 400 V +%# 4 V @ % 2- @! +%
+% 365 $# @! +% 366 $#
W$ 15 5- ' 27 # $# W$ 17 ( 31 14 ) W$ 15 5- - 31 => 5 14 !' 30 ' 27 74 $#
# 4 7 - +%
298 $# = = 42 4# 4 ##
$ 7 - = +%

$ # 12 4 = 1 3 660 3 = 1 '4 8 '4 = 1 - 10 = 1 (W 16 (W = 1 (+% 2000 (+% = 1
E$ 10 .@ = 1.@ 10 .@= 1 @ 10 .@= 1 @ 10 @= 1 @ 10 @=1 @ 10 @ = 1 .@
0 10 . = 1. 10 . = 1 10 . = 1 10 = 1 10 =1 10 = 1 .
# 10 . = 1. 10 . = 1 10 . = 1 10 = 1 10 =1 10 = 1 .
= > 200 . - E 40 ># + !- - > - +%2- $' - 4 +%
= > 200 . 40 > = 40 x 200 = 8000 . = 8 $' 1000 . = 1
= # !$3 350 ( . 5 4 >- $ !

5 = 5000 5000 350 - - ( 14 @ 100 . 14 $# ! . @ 100
Z( 0 !(
= [3 3 - E Z( !% \ Z( = 2 ( E + ) # Z( = 4 x # 5 Z( = [0 42 R%- # 4 5 Z( = 3! + +' C Z( = (2 R%- Z( = (2 R%- Z( = (2 R%-
= 5 Z( 2a + 2 $ Z( P = 2 r # $ Z( P = ( +2) r #
- $ Z( P = ( +2 ) r #
!(
= =# ! - ( !( !%
\ !( = E x . A=lb
!( = x . A=a2
4 5
!(= (3! x ) . A = bh

5 !( = (3! x ) .
A = bh
$ !" : A = r2 . r $
$ !" : A = r2 .
- $ !(: A = r 2 . r $
!" h (a+b) .
a,b !4# h !4 (
!" A = bh . b 3! h
5 !" A = a2 . a 5
= 5 !" A =h .
a a h
a a
a

5 !" A=
. s=
a,b,c 4#
!" A= d( h1 + h2 ) .
d [$ h1 , h2 ' U- => [$ !% 4 4#
C !" A = ( d1 d2 ) .
d1 , d2 [$4#
-
C !" A = bh . b 3! h
\!
!( = 2U\ !" # \ !"
$!
!" = 2 $! !" # $ !"

= $! $ D0 0 r 2- vi-
E l = 2r
= $! Z( p = l + 2r = $! $ D0 0 r 2-
$! !" A= r2
- E l # r # # $! !" A=
l r
5!$ "!!" = ph p-- $ 3UZ( h--$
5!$ !!" ph + 2A p-- $ 3UZ( , h--$ , A $ 3!!"
5!$ ( = Ah h--$ , A $ 3!!"
\ !" 2h( l+ b) E l b h
!" = 4 a2 \ !" = 2 ( lb + bh + lh) !" = 6a2
\ ( = l b h ( V = a3
= R- l , h, r # '" l 2= h 2 + r 2 R !" = $ ! !"
rl = r 2
C +E ( = 0 $%! !"
= !% "
=42 + = =!$=(
=!$=(

' !" !" ( = 2rh 2r ( h + r) r2 h # E =
2h (R + r) 2 ( R + r)(R r +h) h (R + r)(R- r)
R" rl r ( l + r) r 2 h
+ ----------------- ------------------------- h( R 2 + r 2+Rr)
4r 2 --------------------------- r 3
# E
------- --------------------------- ( R
3 - r
3 )
2r 2 3r 2 r 3
# E
2( R 2 + r
2) (3 R
2 + r
2) ( R
3 - r
3 )
= 5 42 : : Z( 104 2-
E#5# ( ( tnpsc)
Z( = 3 42 R%- = + + = 104
=104
= 96
E#5# (= = = 48
\= 5 4 @$'- !$-
!( - ! ! 4# -
E x !" x2 " ( x + 4) !" ( x + 4) ( x + 4)
" !" = !"
( x + 4) ( x + 4) = x2
( x + 4) ( x + 4) = x2
( x + 4) = x
2x + 8 = 3x
x = 8 - E
[$ Z( ( tnpsc ) x 2- [$ x [$ =

Z( = 4 =
\ E 10 % !% !" - 2-
------------ !+% ( tnpsc ) \ E 100 y 2- !" 100y \ E 110 b 2- !" 110b 100 y = 110b
b=
b=9
9 % !+%
1 @ 3 = 1000 $' 1 @ 3 = 1 $' 1000 = 1 . 1000 .@ 3 = 1
50 % !$- !" *% (tnpsc ) 100 50 % !" 2- " 150
4r 2 = 4 100 100 =40000
4r 2 = 4 150 150 =90000
!" = 50000 !" E = = 125
E 5 .@ 3 .@ # \ Z( \ Z( = 2 ( E + ) = 2 ( 5 + 3 ) = 2(8) = 16 .@
20 .@ 2- Z( Z( = 4 x = 4 x 20 = 80 .@
= \ E 8 .@ 5 .@ 2- !(
\ !" = E x = 8 x 5 = 40 ..@ = 7 .@ 2- !"
!" = x = 7 x 7 = 49 ..@
4 5 3! 9 .@ 12 .@ 2- !" ?
!" = x 3! x = x 9 x 12 = 54 ..@

1 .. x 1 .. = 1 rJu .. 1 br.. x 1 br.. = 1 rJu br.. 1 . x 1 . = 1 rJu . 1 .. x 1 .. = 1 rJu ..
1 ' = 100 @ 2 ( = a 3 # \ 542 + 6 $ 2 12 .@ # 9 .@ . $
= 12 9 = 3 9 .@ 5# Z( = 4 = 4 x 9 = 36 3! 12 .@ 5 .@ 5 !"
!" = bh = 12 5 = 30 ..@
!( 360 .@2 15 .@ 2-
3! !( = 3!
360 = 3! 15
3! = = 24 .@
C [$4# 9 .@ , 12 .@ 2- !"
C !" = d1 d2
= 9 12 = 54 ..@
\ E , , 5 8 .@ , 5 .@ , 2
.@ 2- ( \ ( = E = 8 5 2 = 80 .@
12,500 @ 2 0 100 @ 2 = 1 ' 12,500 @ 2 = 125 '
2.5 @$ 1 ' = 10000 .@ 2.5 ' = 2.5 10000 = 25000 .@
10 @ E , 3 @ , 27 .@ 3 # = Z' *! 25 .@ 12 .@ 9 .@ (# 4#
Z ( = E = 1000 300 27 100 .@ = 1 @

4 ( = 25 12 9
4# = Z(
4( =
1000 300 2725 12 9
= 3000
1 .@ E , 10 @ 5 = - ! 1 .@ ` 20 E (
!" = E

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