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1. 2 2 ( )( )a b a b a b= +
2. 2 2 2( ) 2a b a b ab+ = + +
3. 2 2 2( ) 2a b a b ab = +
4. 2 2( ) ( ) 4a b a b ab+ = +
5.
3 3 2 2( ) ( )( )a b a b a ab b+ = + +
6. 3 3 2 2( ) ( )( )a b a b a ab b = + +
7.3 3 3
3 3 3
( ) 3 ( )
( ) 3 ( )
a b a b ab a b
a b a b ab a b
+ = + + +
+ = + +
8.3 3 3
3 3 3
( ) 3 ( )
( ) 3 ( )
a b a b ab a b
a b a b ab a b
=
= +
9. 2 2 2 2( ) 2( )a b c a b c ab bc ca+ + = + + + + +
1. F 343 343 343 113 113 113
343 343 343 113 113 113
+ +
B. 240 C. 235 D. 229
343 343 343 113 113 113
343 343 343 113 113 113
+ + d;kjpg;G fhz;f
B. 240 C. 235 D. 229
:
3 3 2 2
2 2 2 2
( )( )343 113 230
a b a b a ab ba b
a ab b a ab b
+ + = =
+ + + +
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PROFIT AND LOSS
Profit = sp cp
Loss = cp sp
Profit % = 100sp cp
cp
Loss % = 100cp spcp
PERCENTAGE
Percentage Increase =Pr
100Pr
Current Value eviousValue
eviousValue
Percentage Decrease =
Pr100
Pr
eviosValue CurrentValue
eviousValue
1. I 20% 10%,
?
xUtdJ rk;gsk; 20 rjtPjk; mjpfhpf;fpwJ. gpd;G 10 rjtPjk; FiwfpwJvdpy;> rk;gs rjtPj tpisT vd;d?
F: I D 100
ID : I (I), D (D).
, 20 10 20*10
100 10 2 = 8 % .
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2. I 20% 10%
?xUtdJ rk;gsk; 20 rjtPjk; mjpfhpf;fpwJ. gpd;G NkYk; 10 rjtPjk;
mjpfhpf;fpwJ vdpy;> rk;gs rjtPj tpisT vd;d?
F: I1+ I2+ 1 2100I I
20 + 10 +20*10
100 = 32% .
3.
I 25%,
?fhgpapd; tpiy 25 rjtPjk; mjpfhpf;fpwJ> mth;fsJ FLk;g tuTnrytpy;
ve;jtpj khw;wKk;,y;iy vdpy;fhgp cgNahfpf;Fk;msT vt;tsT rjtPjk;
FiwAk;?
:
100
100
r
r+ =
100*25
100 25+ A: 20%
4.
I 25%,
, ?NfhJikapd; tpiy 25% FiwfpwJ. ,Ug;gpDk;> mth;fsJ FLk;g tuT
nrytpy; ve;jtpj khw;wKk; ,y;iy vdpy;> NfhJik cgNahfpf;Fk; msT
vt;tsT rjtPjk;mjpfhpf;Fk;?
D 25%100
100
r
r=
100*25
75=
100
3 = 33
1
3%
SIMPLE INTEREST
.100
PNRS I =
Amount = P + S.I
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1.
.8440
15% .. 6 ?
&.8440 vd;w njhiff;F Mz;Lf;F 15% tl;b tPjj;jpy; 6 Mz;LfSf;F
fpilf;fg;ngWk;jdptl;b njhif vt;tsT?
2. .7648 3. .7720
4. .7816 5. .7888
8440 6 157596
100SI
= =
2.
A 8 ?xU njhifahdJ 8 Mz;Lfspy; ,uz;L klq;fhfpwJ vdpy; jdptl;bapd;
tl;b rjtPjk;vt;tsT?
= 100, A = 200
.I.= 200 100 = 100; = 8
,. 100 100 100 1
12 %100 8 2
S IR
P N
= = =
COMPOUND INTEREST
1100
NR
P Amount
+ =
Where, Amount = P + C.I
1. Calculate the compound interest on a sum of Rs.800 at 5% rate in 2 years.Solution:-
25 21 21
1 800 1 800 882100 100 20 20
. . 882 800 .82
NR
A P
C I Rs
= + = + = =
= =
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VISUAL REASONING
Directions: Find the missing character from among the given alternatives.
Ex:1
(a)625 (b)25 (c)125 (d)156
Sol:clearly
so missing number
Hence , the answer is (a).
Ex:2
(a)25 (b)37 (c)41 (d)47
Sol:Clearly in fig
In fig
In fig (B) , missing number .
Hence the answer is (c)
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Ex:3
(a)115 (b)130 (c)135 (d)140
sol:Clearly the number inside the circle is equal to the sum of the product of
the upper three numbers and the product of the lower three numbers. Thus,
In fig (A)
In fig (B)In fig (c), missing answer =
Hence the answer is (b).
Ex:4
(a)5 (b)4 (c)3 (d)2
Sol: Clearly in the second column, 22+2-23=1
In the third column, 40+5-43=2
In the first column, missing number = 21+1-20=2
Hence, the answer is (d).
Ex:5
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(a)11 (b)6 (c)3 (d)2
Sol: Clearly in the first column,
In the second column,
Let the missing number in the third column be .
Then ,
Hence the answer is (c).
1.
I 'GAL' 'HB'. H '' ?
xU re;Njf nkhopapy;, 'GAL' vDk; thh;j;ij 'HB'vd;W khw;wp
vOjg;gLfpwJ. ,ijg;NghyNt ''vDk; thh;j;ijia vt;thW
khw;Wtha;?
(A) (B) (C) (D)
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I
2.
I 'IK' 'GLI. H 'I'
?
xU re;Njf nkhopapy;, 'IK' vDk; thh;j;ij 'GLI vd;W khw;wp
vOjg;gLfpwJ. ,ijg;NghyNt 'I' vDk; thh;j;ijia vt;thW
khw;Wtha;?
(A) KL (B) GL
(C) KL (D)GE
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1. * ?
* vd;w FwpaPl;bw;F vjpNu cs;sJ vJ?
.@ .$ . 8 . +
* @, , + $. H
8.
2. . H
5 ?
,uz;L ntt;NtW epiyfis nfhz;l xU gfil nfhLf;fg;gl;Ls;sJ. 5
Gs;spfis nfhz;l gf;fj;jpw;F vjpNu vj;jid Gs;spfs;cs;sd?
.3 . 1 . 2 . 4
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I 1
. (2). 4 .
3. 4?
4 vd;w gf;fj;jpd;vjpNu cs;s vz; vJ?
.
3 . 5 . 6 . 2/3
H 3, . H 6
2 5 1. 4 3.
4. .
5?
5 vd;w gf;fj;jpw;F vjpNu cs;s vz;vJ?
. 2/6 . 2 . 6 . 4
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A . (3), 3, .
H 5 6.
5. H 2
?
,uz;L Gs;spfSf;F vjpNu vj;jid Gs;spfs;cs;sd?
. 1 . 5 . 4 . 6
I 5 .
. (3) 2 ,
6 .
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