maths -- appolo study centre

8/11/2019 Maths -- Appolo Study Centre

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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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