bcs 001 & 002 ca without exam

nW Awdmt dvgMU, XvKv| dvbt 01731 670377, bxjZ kvLvt 01792510208 cv # 1

jKPvi 01

m~t n = dna )1(

-. + + + ...... ? (3+5+7+.....find the 22th term of the series) / / /

3 + 5 + 7 + . . . . 22 Zg c` ?

1g2 = 2 2q2 = 4 3q 2 = 6 22Zg2 = 44

+ 1 + 1 + 1 + 1

-. + + +.... ? (5+9+13+.....find the 11th term of the series) / / /

-3. + + +.... ? / / /

-4. + + + + --- ? / / / --

mgvavb t 3 t 302)1( dna 3023)1(5 n 302335 n 100n

-5. + + + ------- ? / / /

Term . + + + - - - - + = ? BCS-18 . + + + - - - - - + = ? BCS-15/25 . + + + - - - - - + = ? . + + + - - - - - + = ?

: + + + - - - - - - + =

+ + + - - - - + = + + + - - - - + = + + + - - - - + = + + + - - - - + = + + + - - - - + = + + + - - - - + =

+ + + - - - - + = + + + - - - - + = + + + - - - - + =

With Technics :

. + + + - - - - - - + =

. + + + - - - - + =

. + + + - - - -- - - + =

. + + + - - - - - - - -- + =

. + + + - - - - - - + =

. +++- - - - - + =


-7. . , ?

/ / / . .

:7:nSol 25002

))((

d

dazaz 2500

2

)199)(199(

d

d 2500

2

)98(100

d

d

dd 10098005000 98004900 d 2d

=d

dazaz

2

))(( , hLvb, 1g c` = a , klc` = z , mvaviY Ai = d

.: ,

-. . + + + - - + = ?

. + + + - - - - - + = ?

-. . + + + - - - + = ?

. + + + - - + = ? BCS24

:nSol 6. 3 + 6 + 9 + - - - - - - - - + 27 = 13532

2730

32

)3327)(327(

= dnan )1(22

ck-8. 3 + 5 + 7 + ...GB avivi 22wU cì mgw KZ?

ck-9. What is the sum of 11 terms of series 5+9+13+.....

ck-10. 7 +12+17+--- GB avivi 25wU cì mgw KZ? (Dt 1675)

ck-11 . 11+18+25+32+-------- GB avivi 29wU cì mgw KZ?

:

-. . + + + ----- , ? ///

:8:nSol 0)8)(18(144)10(144)2).(1(9.22

144)1(22

nnnnnn

dnan

, 8,18 n , 18n

-. ? / / /

:nSol 77)1( dna 77)112( da 7711 da

c_g 23wU cì mgw = dnan

)1(22

= da )123(22

23 = da 222

2

23 = )11(2

2

23da =

17717723)11(23 da

:9:nSol

c_g 22wU cì mgw = dnan

)1(22

= 2).122(3.22

22

= 221611 = 5284811


( Factor) ( / Multiple)

, , , [ ] ,,,.. [ ]

( Factor) ? (How many divisor of 72) BCS-26

?

? /// PSC

? /// PSC

? ///

6| Which of the following integers has the most divisors? 88/91/95/99 BCS29

? ///

? / / / .: ,

( / Multiple) ? (How many multiple of 3 from 3 to 28 ?)

( ) ? / / / (How many multiple of 4 from 12 to 96 including both numbers ?)

? / / /

? / / /

( ) ? / / /

? / / /

72 = 172 = 236 ,,,,,,,,,, = 324 = 418 = 612 = 89 ,,,,,,

2 72 2 36

2 18

3 9

3 23 3272 = 1power

)12(13 =12

ck t 9 t klc` - 1g c` c`msLv = + 1

cwZ c`i ew hgb, 3 _K 28 ch 3 Gi wYZK KZwU? Zvnj avivwU ne 3+6+9+---+27 ZvB bv! 27 - 3

c`msLv = + 1 = 8 + 1 = 9 wU

3

ckt 10 t klc` - 1g c` c`msLv = + 1

cwZ c`i ew

hgb, 12 _K 96 ch 4 Gi wYZK KZwU? Zvnj avivwU ne 12+16+20+---+96 ZvB bv!

c`msLv = 221211

4

841

4

1296

wU


/ Prime Number Factor = = Factor = , = Factor = , = Factor = , , = Factor = , = Factor = , , , = Factor = , = Factor = , , , = Factor = , , = Factor = ,,, = Factor = , = Factor = ,,,,, = Factor = , =

, ( )

/ Prime Number 1. ( )

2. The number of Factors of a Prime Number is two.( )

3. The lowest prime number is 2. ( = )

4. Only one prime number which even is 2 ( = )

5. - - ,

6. ..-

7. The no. of prime number from 1 to 100 = 25 ( )442 232 232 1

8. The no. of prime number from 1 to 50 = 15 ( )

9. The no.of prime number from 100 to 200 = 21 ( ) 41 131 222 14

10. 442-232-232-1

4 4 2 2 3 2 2 3 2 1

1 11 21 31 41 51 61 71 81 91

10 20 30 40 50 60 70 80 90 100


/ / cwZ `kK gwjK msLvi msLv Kvb msLv ev msLvjv ge

1 nZ 10 ch 4 wU 2, 3, 5, 7 1 nZ 10 ch = 4 wU 11 nZ 20 ch 4 wU 11, 13, 17, 19 1 nZ 20 ch = 8 wU 21 nZ 30 ch 2 wU 23, 29 1 nZ 30 ch = 10 wU 31 nZ 40 ch 2 wU 31, 37 1 nZ 40 ch = 12 wU 41 nZ 50 ch 3 wU 41, 43, 47 1 nZ 50 ch = 15 wU 51 nZ 60 ch 2 wU 53, 59 1 nZ 60 ch = 17 wU 61 nZ 70 ch 2 wU 61, 67 1 nZ 70 ch = 19 wU 71 nZ 80 ch 3 wU 71, 73, 79 1 nZ 80 ch = 22 wU 81 nZ 90 ch 2 wU 83, 89 1 nZ 90 ch = 24 wU 91 nZ 100 ch 1 wU 97 1 nZ 100 ch = 25 wU

t t

1. ? ///

2. ? ///

3. - ?

4. ? /// PCS13

5. ? /// BCS10/PCS2013

6. ? ///

7. ? ///

8. ? /// 9. ? ///

10. ? /// BCS26

11. ? /// BCS24 12. ? /// BJS2011

13. ? /// PSC2006

14.

? /// KjR-wbeb-2011, BCS27

15.

? / / / BCS29

16.

?

/ / / [ ]

17.

?

, ,

18. ? / / / BCS30

19. ?

///PCS2011

20. ? /// PCS2004

Co-prime Number : t

: = , , , ,

= , , , , , , , = , , ,

, =

=

= ,

.. ,

,

: , / , / , / , / , / , / ,

. ? . ? 0/1/2/3/ : , , ,


wefvRZv t Divisibility

2 viv wefvRZv t Divisibility by 2 :

, , , , , , , ,


, , , , , , , ,


-: : , , , ,

-: : ,,


-: , : , , ,

-: , : , , , ,

3 / 6 / 9 viv wefvR t Divisibility by 3 / 6 / 9 :

, = + + = , ,

,

=++++ = , , = ,

,

, , ++=, ,

7 viv wefvR t Divisibility by 7 :

( = ) - = , , ,

11 viv wefvR t Divisibility by 11 :

Subtract from ( the summation every second digit of a number) & ( the summation of all rest digit of that number) = 0, then that number divisible by 11.

( + - = ), ( + - = ), ( + - - = )


/

1.

t 20

19

,

20

17

,

20

13

,

20

11

, 20

19

20

11

2.

hgb t 47

20

,

37

20

,

27

20

,

17

20

GLvb cZK fMvski je 20, myZivs GB PviwU fMvski ga 17

20

fMvskwUi eo Ges47

20

fMvskwUi gvb QvU|

3. 7

6

,

5

4

,

4

3

,

3

2

,

, : 21

19,

11

9,

7

5,

5

3

13

9,

15

11,

9

5,

7

3

? 4. : :

. : ., ., ., . - . , . = . = . = . = . = . = . = . = !!!!

Exercise

1. KvbwU eo ? 0.3, 0.3,1

3,

2

5 BCS32,30,22,15

2. KvbwU eo ? 5

8,

7

12,

11

16,

1

24

3. KvbwU eo ? 5

12,

3

4,

7

8,

6

7

4. KvbwU eo ? 0.101, 0.011, 0.0011, 0.0101

5. KvbvU QvU? 5

6,

12

15,

11

14,

17

21 BCS32/PSC2013

6. KvbwU z`Zg? 2

5,

5

27,

7

36,

11

45

cv_wgK I MYwkv gv.2012

7. KvbvU QvU? 2

11,

3

11,

2

13,

4

15 BCS31

8. KvbwU eo ? 0.3,1

3,

2

7,

3

11 ^iv gv.2012

9. KvbwU z`Zg? 1

11,

3

31,

2

21, 0.02 BCS24B

10. gvbi Dgvbymvi mvRvI t 2, 0.9, 11

10 ivR^ evW 2012

11. Kvb fMvskwU jwN AvKvi cKvwkZ ? BCS24 77

143 /

102

289 /

113

355 /

343

1001 cevm gv.2012

12. 1

2 Acv QvU KvbwU?

3

5,

4

7,

5

8,

1

3

13. Of the following, which is greater than 1

2 ?

A. 2

5 B.

4

7 C.

4

9 D.

5

11

14. Of the following fractions, which is less than 2/3?

A. 7

8 B.

5

6 C.

3

4 D.

3

5

15. Kvb fMvskwU 2

3 _K eo?

33

50 /

8

11 /

3

5 /

13

27 BCS1

Keep n Touch : www.facebook.com/mathabdullah2020

1427 1535

7

3

,

5

2

GLvb Zxi wPi w`K m Y Ki h_vg 14 I 15 cvIqv wMqQ|

h fMvski Dci Ydj eo mB fMvski gvb eo| AZGe, 7

3

fMvskwU eo|


wewea-01 t Miscellaneous-01 1. GKwU msLv 31 _K hZ ewk, 55 _K ZZ Kg, msLvwU KZ ? Dt 39/40/43/50

A number is as much greater than 31 as is less than 55. Find the number.

2. , , ? /// A number is as much greater than 31 as it is twice less than 55. Find the number

3. GKwU msLv 30 _K wY ewk, 55 _K wZbY Kg, msLvwU KZ ? Dt 39/40/43/50

4.GKwU msLv 560 _K hZ Kg, 380 _K mvo wZbY ekx, msLvwU KZ ? Dt 450/470/520/500 TH2010

5. , ? / / / If a thing is sold for Tk 378, there is a loss of certain amount and if it is sold for Tk 450, then it makes a profit of three times of that certain amount of loss. What is the cost price of the thing?

6. , ? / / / . PSC2003

7. ? / / / BCS22

wewea-04

..... Km ....... Km

380 Km ?? Km 560 Km

Ans: 450 / 470 / 520 / 500

Solutions:

Number = + =

wewea-03

2x Km 3x Km 30 Km ?? Km 55 Km

Ans: 39 / 40 / 43 / 50

Solutions:

2x + 3x = 55 30 or, 5x = 25

or, x = 5

Number = 30+52 = 40

wewea-02

x Km 2x Km

31 Km ?? Km 55 Km

Ans: 39 / 40 / 43 / 50

Solutions:

x + 2x = 55 31 or, 3x = 24

or, x = 8

Number = 31+8 = 39

wewea-01

x Km x Km

31 Km ?? Km 55 Km

Ans: 39 / 40 / 43 / 50

Solutions:

x + x = 55 31 or, 2x = 24

or, x = 12

Number = 31+12 = 43

wewea-05

wZ = x UvKv jvf = 3x UvKv S.P. S.P. 378/= C.P 450/=

C.P.= Cost Price (qg~j) Ans: 390 / 400 / 396 / 430 S.P.= Selling Price (weq g~j)

Solutions:

x + 3x = 450 378 or, 4x = 72

or, x = 18

C.P. = 378 + 18 = 396/-


wewea-02 t Miscellaneous-02 8. ? / / /

9. , ?

/ / /

10. ,

? / / / BCS17

11. To a number 8 is added. The sum is multiplied by 3. Then the product is divided by 2 & 7 is subtracted from the quotient. The remainder left is 50. The number is: 30 / 40 / 50 / 60 / None

[Some Words: Subtract-weqvM Kiv, add-hvM Kiv, sum-hvMdj, multiply-Y Kiv, product-Ydj, divide-fvM Kiv, quotient- fvMdj, remainder-fvMkl|]

12. ? / / /

[If some trees are set up 2-metre apart in one side of 70 metre long road. How many trees are needed?] mgvavb t (702) = 35+1=36wU 13. ?

/ / /

[If some trees are set up 2-metre apart around 70 metre pond side. How many trees are needed?] mgvavbt (702) = 35wU

14. ? (+) = 15. ? /// 16. .. ..

? / / / 17. .. ..

? , . 18. If some electric poles stand in a straight row 60 yards apart, what is the distance from the first to the 10th ?

a. 600 yards b. 540 yards c. 1000 yards d. 800 yards e. None

19. .. ? . . . .

,

(Straight way) (Enclose way)

1 nvZ 1 nvZ

1 nvZ 1 nvZ 1 nvZ 1 nvZ

1 nvZ 1 nvZ


YOU KNOW BUT...

1. `v`v I bvwZi eqmi mgw 90 eQi Ges `v`v I bvwZi eqmi cv_K 60 eQi nj `v`v I bvwZi c_K c_K eqm KZ ?

2. `yBwU msLvi hvMdj 70 I weqvMdj 20 nj msLv y`BwU wbYq Ki? Dt Z_ gv. 2013 3. `yBwU msLvi hvMdj 130 I weqvMdj 10 nj eo msLvU KZ? Dt 50/55/60/70 Lv` gv.2012

4. 4,8 baba nj ???, abba , b

a = ? ?22 ba

5. 5,9 baba nj 18/14/12/10ab , Ges 81/55/53/5022 ba

6. hw` 3ba Ges 32 ab nq Ze b

a Gi gvb KZ ? 3 / 3 / 2

3 / 33 NBR2012

7. hw` 7ba Ges 3 ab nq Ze ab Gi gvb KZ ? 102 /1/2/21 cwievi cwiKbv2012

8. 3,5 baba nj ?ab Dt 2/3/4/5 BCS 10

9. 6,8 baba nj, ?22 ba Dt 40/60/50/80 BCS 26

10. x + y = 12 Ges x y = 2 nj xy = ? Dt 35/140/70/144 BCS22

11. a + b =2 Ges a b = 0 nj a/b = ? Dt 0/1/2/4 PSC2004

12. 7ba Ges 2522 ba nj ?ab Dt 7/12/16/24 BCS30

13. 29,9 222 cbacba nj cabcab Gi gvb KZ? Dt 52/46/26/22 BCS16

14. hw` 1,2 abba nq Ze a Ges b Gi gvb h_vg 0,2 / 1,1 / -1,3 / -3,-4 BCS31

15. 10,7 xyyx nj ?2 yx Dt 3/6/9/12 BCS24 /Primary2011

16. 2 yx Ges 3xy nj yx Gi gvb KZ ? Dt 4 / - 4 / 4 / 16 NBR2012

17. 56,1 xyyx nj ? yx Dt 15 / - 15 / 15 / 14 Z_ gv2013

18. hw` y`yBwU msLvi hvMdj I Ydj h_vg 20 Ges 96 nq Ze msLv y`yBwUi evbycvwZK( reciprocal ) hvMdj KZ?

Dt

8

1/

6

1/

4

3/

24

5 BCS 31

19. 3&51333 baba nq Ze ?ab Dt 34/45/54/55 PSC1995

20. 14 yx nj xy Gi eng gvb KZ ? Dt 36/49/65/63 PSC1995

21. `yyBwU msLvi cv_K 4. QvU msLvwUi eM eowUi wYi mgvb| eowUi gvb KZ? Dt 2 / 4 / 6 / 8 ATO2010

BUT YOU HAVE TO... 22.

2&14)( 2 xyyx nq Ze ?22 yx 12/14/16/18 BCS27

23. Kvb msLvi 3

7 Ask 48 mgvb? 128/132/112/140 PSC1998

24. 1, 2 I 3 viv wZb AsKi hZjv msLv jLv hvq Zv`i mgw KZ? Dt 1223/1233/1322/1332 PSC1998

25. 0, 1, 2 I 3 viv MwVZ Pvi Ai eng I z`Zg msLvi weqvMdj KZ? Dt 3147/2287/2987/2187 BCS31

mgw + cv_K 90 + 60 mgw cv_K 90 60 mgvavb t `v`vi eqm = = = 75 eQi, bvwZi eqm = = = 15 eQi|

2 2 2 2 2 72

2 36

2 18

3 9

3 23 3272 fvRK ev Drcv`K msLv = 1power

)12(13 =12 wU


Opening Class Test Exam

1. 105 Gi bYxqK KZwU ? Dt 7 / 8 / 9 / 10

2. 1 + 2 + 3 + - - - - - - + 99 = KZ ? Dt 5050 / 4950 / 4850 / 1275

3. 5 + 8 + 11 + 14 + --- avivwUi Kvb c` 302 ? Dt 100 Zg / 127 Zg / 172 Zg / 180 Zg

4. 3 + 6 + 9 + - - - - - - - - + 27 = KZ ? Dt 130 / 135 / 140 / 145

5. 3 + 5 + 7 + ...GB avivi 22wU c`i mgw KZ? Dt 525 / 526 / 527 / 528

6. 3 _K 28 ch 3 Gi wYKZ KZwU? Dt 8 / 9 / 10 / 11

7. 1 nZ 50 ch gwjK msLv iqQ KZwU ? Dt 15 / 16 / 17 / 18 wU

8. 43 nZ 60 ch KZwU gwjK msLv AvQ ? Dt 5 / 3 / 7 / 4

9. mngwjK msL vi Mmv KZ? Dt 0 / 1 / 2 / 4

10. GKwU fMvsk I Zvi Kvb mgZzj fMvski Aidj KZ ? Dt 0 / 1 / 2 / 4

11. KvbwU eo 24

1/

16

11/

12

7/

8

5

12. GKwU msLv 31 _K hZ ewk, 55 _K wY Kg, msLvwU KZ ? Dt 39/40/43/50

13. Kvb& ivwki mv_ 17 hvM Ki hvMdjK 5 viv Y Ki, YdjK 9 viv fvM Kij fvMdj _K 3 weqvM Kij weqvMdj 12 nq? Dt

10 / 15 / 20 / 25

14. 100 wgUvi `xN iv vi `yB cvk 2 wgUvi Ai GKwU Ki MvQi Pviv jvMvZ gvU KZwU Pviv jvMe?

Dt 100 / 101 / 102 / 104 wU

15. 3,5 baba nj ?ab Dt 2/3/4/5

16. 6,8 baba nj, ?22 ba Dt 40/60/50/80

17. 14 yx nj xy Gi eng gvb KZ ? Dt 36/49/65/63

18. 21

xx nj

12 xx

xGi gvb KZ ? Dt 1/2/3/4

19. 29,9 222 cbacba nj cabcab Gi gvb KZ? Dt 52/46/26/22

20. 10,7 xyyx nj ?2 yx Dt 3 / 6 / 9 / 12

MCQ Part with Aptitude Mathematics Analytical Aptitude Analytical Puzzle, Geometry Data Sufficiency Quantitative Critical Reasoning, Data Interpretation : Graph Chart, Pie Chart, Bar Chart, Line Chart Reading Comprehension, Sentence Completion, Sentence Correction, Analogy, Antonyms Synonyms Sentence Equivalence, Different type of ideal questions according to different Bank

Written Part with Language & Communication Written Mathematics Critical Writing Essay/Paragraph/Short Note Paragraph Completion

Application & Letter Writing Different type of ideal questions according to different Bank

Keep n Touch : www.facebook.com/mathabdullah2020


jKPvi 02

1: n 321 2

1

nn

2: 2222 321 n 6

)12(1

nnn BCS31

3: 3333 321 n 2

2

1

nn

4: 1 + 3 + 5 + n = 2 [ ] 5: 2 + 4 + 6 + n = 2 + [ ]

hgbt 5wU weRvo msLK msLvi mgw nj 1+3+5+7+9 = 25 A_vr 52 hgbt 5wU Rvo msLK msLvi mgw nj 2+4+6+8+10 = 30 A_vr 52 + 5

1. ?10321 3333 ATO 2010

2. ?)10321(2

3. ?,210....................................321

.................................321 3333

nthen

n

nIf

4. ?50321 2222 BCS27

5. ?30232221 3333

6. ?50333231 2222

7. If sum of cubes of first n natural numbers is 225, what is the value of n ? What is the sum of squares of those

numbers? ( n 225 n ? ?)

Solutions:

3333 10321.1 2

2

11010

= 255 3025 2)10321(.2 302555

2

11010 22

210.............321

..........321.3

3333

n

n210

2

)1(

2

)1(2

nn

nn

0)20)(21(04202102

)1( 2

nnnnnn

20,21 norn n Z , , 20n

6

)12(1.4

nnn=

42925

6

)1502(15050

333333 20213021.5 = 172125441002162252

12020

2

1303022

222222 30215021.6 52309455429256

)1302(13030

6

)1502(15050

2252

1.7

2

nn ev , 15225

2

1

nn

ev, 152

1

nn ev, 0302 nn ev, 0)5)(6( nn

, 6n , 5n n Z , n = 5, = 2222 5321

= 556

1165

6

)152(155

6

)12(1

nnn


- r = 1raq , q

termnd

termrd

termst

termndqaswhere

2

3

1

2,

1. 36124 ? ,34

12q Ag c` 87483434 7181 raq

4 12 36 ?

1g 2q 3q 4_ 5g 6 7g 8g

2. 3264128 ? ,2

1

128

64q

2

1

256

1128

2

1128

2

1128

819

1

raq

128 64 32 ?

1g 2q 3q 4_ 5g 6 7g 8g 9g

3. 2 4 + 8 16 + avivwUi c_g mvZwU c`i mgw KZ? Dt 49 / 64 / 86 / 109 PSC2013

2 4 +8 16 +32 64 +128 1g 2q 3q 4_ 5g 6 7g

Extra Maths

1. c_g msLK weRvo ^vfvweK msLvi mgw KZ ? Dt + 1 2 / +1

2 / 2 / 2 + 1 PSC2005

2. 1 + 3 + 5 + avivwUi msLK weRvo ^vfvweK msLvi mgw KZ?Dt + 1 2 / +1

2 / 2 / 2 + 1 PSC2006

3. 1 + 3 + 5 + + 2 1 avivwUi mgw KZ ? Dt + 1 2 / +1

2 / 2 / 2 + 1 PSC2005

4. 1 + 3 + 5 + + 19 = KZ ? Dt 98 / 101 / 99 / 100 PSC2005

5. 1 + 3 + 5 + + 21 = KZ ? Dt 122 / 120 / 119 / 121 PSC2005

6. 1 + 3 + 5 + + 51 = KZ ? Dt 676 / 672 / 670 / 664 PSC2006

wkLv cwKvi cwZ msLvq h K_vwU wjLv _vKZv Zv njv t vb hLvb mxgve, eyw mLvb Avo, gyw mLvb Ame


Unitary Method : HwKK wbqg

(, )

: , , ,

- 1)

? 38 workers plough the land of a farmer in 15 days. In how many days will 57 workers plough the same land? //

2) ? //

3) ? 63 persons can do a piece of work in 18 days. In how many days can 42 persons do the same work?

4) ? //

5) ? /// BJS2007

6)

? 250 workers can build a barrage in 24 days, How many more workers will be required to complete the work in 15 days? ///

7) ? A hostel of 15 students has enough food for 32 days. Some new students came into the hostel and the food was consumed in 20 days. What is the number of new students? ///

8) ? ///

9) . ,

? A family requires 1.25 litre milk daily. Price of 1 litre milk is Tk 12.00 find the cost of milk of that family for 30 days.

10) ,. ,. , ? 5 cows and 7 goats together cost Tk 27500.00 If one goat costs Tk 1250.00, how much 13 cows cost?

11) ,. ,. , ? The cost of 5 radios and 4 television together is Tk. 89500. If a television cost Tk. 19500 how much will 15 radios cost?

12) , ? / / / BJS2010


3 DIMENSION 13)

? 14)

? 25 people can dig a canal in 17 days, working 8 hours a day. In how many days can 34 people dig the same canal working 6 hours a day?

15) ?

8 men require 64 kg of rice for 16 days. For how many men 70 kg of rice will be required for 10 days?

16) ?

8 men require 64 kg of rice for 16 days. How much rice will be required for 14 men in 10 days?

17) ? 30 men can do a piece of work in 18 days, working 8 hours a day. In how many days can 45 men do the same work, working 6 hours a day?

18) . .. ? Rafiq covers a distance of 480 km in 12 days, walking 10 hours a day. In how many days will he cover a distance of 360 km, walking 9 hours a day?

19) ?

20) ?

21) ? ///

22) ?

23) If two typist can type two pages in two minutes, how many typists will it take to type 18 pages in six

minutes ? Ans: 3 / 6 / 9 / 18 BCS28

24) 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps

work to empty the tank in 1 day? Ans: 9/10/11/12

25) - - ? / / / / / BCS31

26) ?

/ / / PCS2013


( ) 27)

? [1500 soldiers in a fort have enough food for 40 days. After 13 days some of them are posted elsewhere.The left over food lasts 30 days for remaining soldiers. How many are the soldiers posted elsewhere?]

28)

?

29) ,

? [ 1000 soldiers in a fort have enough food for 70 days. After 10 days 200 more soldiers came into the fort. How long would the remaining food last? ]

30) ? [1200 soldiers in a fort have enough food for 30 days. After 10 days 300 more soldiers came into the fort. How long would the

remaining food last? ]

31)

? [A hostel of 150 students has enough food for 18

days. After 8 days, 25 students left the hostel. How long would the remaining food last?]

* mgZzj fMvsk (Equivalent Fraction) t 50

20

20

8

5

2

* wecixZ fMvsk (Reciprocal Fraction) t 5

2Gi wecixZ fMvsk ev evbbycvZ

2

5

Questions: Find the value of x from the following equations?

1. 246

5 x

2. 217

5 x

3. x

35

13

5

4. x

35

12

7

5. x

30

11

6

6. 129

3 x

PSC2013

7. x

x 125

5

8. The product of a fraction and its reciprocal/ ? // /- 9. The difference of a fraction and its equivalent/ ? ///-

fMvsk (Fraction)

mij fMvsk (h fMvski je I ni c~Y msLv) RwUj fMvsk (h fMvski je ev ni ev DfqB c~Y msLv bq ) (Simple Fraction) (Compound Fraction)

cKZ fMvsk AcKZ fMvsk wgk fMvsk (Proper Fraction) (Improper Fraction) (Mixed Fraction)

7

3

3

7

5

32

9

52

3

2

,

4

35

24,

17

2

13


1. ?

The sum of father and his son is 80 years. The age of father is Four times of the age of his son. What is the age of his son?

A. 12 B. 14 C. 16 D. 20

2. ?

The sum of Father and his son is 56 years. The age of Father is thrice as the age of his son. What are their ages ?

A. 10, 46 B. 12, 44 C. 14, 42 D. 16, 40

3. , ? The age of father is twice as old as his son. 14 years ago the age of father is thrice as old as his son. What is the age of his father ?

A. 42 B. 56 C. 60 D. 70

4. ? BCS20

K. 56 Ges 14 eQi L. 32 Ges 8 eQi M. 36 Ges 9 eQi N. 40 Ges10 eQi

5. , ? PSC2013

K. 30 eQi L.35 eQi M. 40 eQi N. 50 eQi

6. ? The sum of father and his son is 80 years. 10 years ago what was the sum of their age and After 10 years the what will be sum of their ages?

A. 70, 90 B. 65, 95 C. 60, 100 D. None of these

7. ? 7th-BJS2012

. . . .

8. Rahim is 12 years old. He is three times older than Karim. What will be the age of Rahim when he two times older than Karim ? Ans: 15 / 16 / 17 / 18 years BCS28

9. Mary, who is sixteen years old, is four times as old as her brother. How old will Mary be when she is twice as old as her brother? Ans: 20 / 24 / 25 / 26 / 28 years

10. Jony is 20 years older than Rony. In 10 years, Ronys age will be half that of Jonys. What is Ronys Age?

Ans: 3 / 10 / 20 / 25 PSC2013

11. Rahim is thrice as old as Karim. If the difference between their ages is 14 years. How old is Karim? A. 5 B. 6 C. 7 D. 8

12. Sarah is twice as old as her younger brother. If the difference between their ages is 15 years. How old is her younger brother ?

A. 10 B. 15 C. 20 D. 25 IBBL/Proba./ 2011 Keep n Touch www.facebook.com/mathabdullah2020

13. : / ? / / / wbeb 2010


Decimal & Decimal Number ( `kwgK, ` kwgK fMvsk )

1. Addition of decimal fractions: (`kwgK fMvski hvM) Exercise: (i) 17.5 + 2.07 + 21.745 (ii) 18.5794 + 25 + 0.4206 (iii) 1 + 0.01 + 0.001 + 0.0002

wbqgt

Soln: 17 . 500 18 . 5794 1 . 0000

2 . 070 25 . 0000 0 . 0100

21 . 745 00 . 4206 0 . 0010

________________ ___________ 0 . 0002

41 . 315 44 . 0000 ______________

1 . 0112

2. Subtraction of decimal fractions: ( `kwgK fMvski weqvM ) Exercise: (i) 5.7 - 0.74365 (ii) 0.9862 - 0.235 (iii) 889 - 32.987

wbqgt

5 . 70000 0.9862 889.000

0 . 74365 0.2350 32.987

___________ __________ ____________

4 . 95635 0.7512 856.013

`kwgK fMvski Yt MUTIPLICATION OF DECIMAL FRACTIONS

wbqgt

EXAMPLE : (i) 1.5 0.15 = [1515 = 225 ] `kwgK DwVq mvaviYfve Y Kib = 0.225 gvU `kwgKi Ni MYbv Ki Wvbw` K _K Result-G ZZwUi AvM ` kwgK emvZ ne

(ii) 0.02 0.005 = [ 25 = 10 ] `kwgK DwVq mvaviYfve Y Kib = 0.00010 gvU `kwgKi Ni MYbv Ki Wvbw` K _K Result-G ZZwUi AvM ` kwgK emvZ ne = 0.0001 cPwjZ wbqgvbyhvqx kli k~bwU ev` hve

(iii) 0.10.20.3 = [123 = 6] = 0.006 (iv) 1.36 10 = [ 13610 = 1360] = 13.60 = 13.6

(v) 0.0357100 = [357100 = 35700] = 3.5700 = 3.57

EXERCISE: (i) 1.1 1.1 (ii) 1.2 1.2 (iii) 0.1 0.1 (iv) 0.001 0.0001 (v) 0.05 0.07 0.003 (vi) 0.33 0.02 0.18 (vii) 0.0754 10000 (viii) 0.0357 100 (ix) 0.7543 100000 (x) 10.09 0.021 (xi) 56.789 100 (xii) 0.318 26 (xiii) 90.75 45.50 (xiv) 0.006 0.025 (xv) 0.02 0.05 0.04 BJS12 (xvi) 40.05 200 (xvii) 0.20.020.00220 (xviii) 0.5 0.5 0.5 (xix)5.2 0.8 (xx) 1.9 1.001 (xxi) 3.002 100

RESULTS: (i) 1.21 (ii) 1.44 (iii) 0.01 (iv) 0.00 00 001 (v) 0.00 00 105 (vi) 0.001188 (vii) 754 (viii) 3.57 (ix) 75430 (x) 0.21189 (xi) 0.56789 (xii) 8.268 (xiii) 4129.125 (xiv) 0.00015 (xv) 0.00 00 4 (xvi) 8010 (xvii) 0.00016

(xviii) 0.125 (xix) 4.16 (xx) 1.9019 (xxi) 300.2


Division of Decimal Fractions (`kwgK fMvski fvM) wbqg-1.

D`vniY t A. 100

357

3.57 Av. 10000

25

0.0025 B. 1000100

5678

100

5.678

wbqg-2.

D`vniY t A. 0.002510000

25

Av. 0.05678100

5.678

B. 0.19100

19

200

38

C. 0.05100

5

500

25

D. 0.12

100

12

425

43

25

3

E. 1.6

10

16

25

28

5

8

F. 0.075

1000

75

5200

515

200

15

540

53

40

3

wbqg-3.

D`vniYt A. 7500

657

0.7500

0.0657

0.75

0.0657

Av. 250

8089

25.0

808.9

25

808.9

B. 2500

3125

2.500

3.125

2.5

3.125

EXERCISE: (a) 9.25 25 (b) 17.68 3.4 (c) 111 0.0148 (d) 97.06 100 (e) 0.168 0.0125 (f) 0.0005 10000 (g) 125.678 1000 (h) 256 100 (i) 123 100000 (j) 2 5 (k) 1 80 (l) 3 4 (m) 5 2 (n) 12.25 5 (o) 432.5 25 (p) 0.00281 1.405 (q) 4 0.625 (r) 0.0006 0.005 (s) 0.2 0.2 0.2

(t) 0.01

0.1

= 1 / 0.1 / 10 / 100 (u) 0.001 0.0001 0.00001. (v) 0.0030.31

0.0030.1

(w)

0.50.2

0.100.4

0.2 / 0.3 / 0.4 (x) 0.00010.1 = 100000 /1000 /100 (y) 0.001 /0.01 /0.1100

1

(z) 00000/10000100/1000/10.0007

7

(aa) 16

1

/

6

1

/

25

4

0.16 (ab) 04545/0.45/0.0.050.15

(ac) ?0.20.20.2 (ad) ?0.20.20.2 (ae) 6.3 /0.063 /0.63?0.0770.1 :Ans

(af) 1.16-Gi mvaviY fMvsk KvbwU ? 45

8/1

99

16/1

25

4/1

6

11 BCS29 (ag)

0.030.020.01

0.0030.20.1

0.1 / 10 / 5 / 20 cv_wgK2012

RESULTS: (a) 0.37 (b) 5.2 (c) 7500 (d) 0.9706 (e) 13.44 (f) 0.00 00 00 05 (g) 0.125678 (h) 2.56 (i) 0.00123

(j) 0.4 (k) 0.0125 (l) 0.75 (m) 2.5 (n) 2.45 (o) 17.3 (p) 0.002 (q) 6.4 (r) 0.12 (s) 5 (t) 10 (u) 0.01 (v) 1/3

(w) 0.4 (x) 1000 (y) 0.01 (z) 70000 (aa) 4/25 (ab) 0.45 (ac) 0.008 (ad) 0.2 (ae) 0.63

evwbK cZxZ cKvk t Express in Scientific form & Decemal form

1. 735,

2. 830,

3. 0.0245

4. 0.00176

5. 0.00000512

6. 637,000,000,000

7. 105,600,000

8. 4500,000,000

9. 310 ,

10. 610

11. 41023.1

12. 210873.9

13. 71032.1

14. 71032.1

15. 810356.3


- t Miscellaneous-03

, , 1) ? PSC2013

. = ( ) + . = ( + ) + . = ( ) + . = ( + ) +

2) ? PSC2010 . = ( - ) . = ( - ) + . = - . = ( - )

3) , ? /// PSC2013 4) , . ? . / . / / . PSC2010 5) , ? 6) ? 7) ? 8)

? 9)

?

10) ? BBK-2011

/ / / 11) The 2nd day of the month was Monday. What will the day of eighteen day of the month is a- BCS29

a) Tuesday b) Sunday c) Monday d) Wednesday

12) Today is Monday. After 61 days, it will be: Saturday / Sunday / Monday / None of these

13) ?

14) ? BCS27 15) ?

/ / /

16) ? /// BCS34

17) , ? /// 18) The day that will come 3 days after tomorrow will be Saturday. What will be the day two days before

yesterday? Ans: Saturday / Sunday / Monday / None of these

19) , ? / / /


20.

7

31

7

6Gi

6

5 ?

.nSol xx2 Gi

7

31

7

6Gi

6

5= 90 ev, xx2 Gi

2

1= 90 ev,

22

xx = 90 ev,

2

5x90 ev, x 36

21. , ? , , , , { + (= ) +( = ) + ( =) }= , , , , ,

22. , ? = = = = , , = + = = =

23. ?

24. - ?

25. - . - [ , . = -= (.-.)=. = . = ] , . . = - = (.-.)=. = . = , , = = (- ) , . + (- ) . = , = = = - = ]

26. 2

1 ?

27. () ? ()45

? (M) 21

20

7

2 ?

3

12 /

4

14 /

3

13 /

3

14

28. () ? 29. () ? 30. ? Dt 18

The product of two number is 288. Half of a number is 8, find the other number ?

31. ? Dt 96 The product of two number is 2304. Twaice of a number is 48, find the other number ?


YOU KNOW BUT...

1. 12

? Dt 4

7/

5

6/

6

5/

7

4 PSC 2007

2. 3

5 4

5 ? / / / PSC 2013

3. , 14

, ? t 79 /

9

11 /

11

13 /

13

15

4. ?

/ / / PSC 2007

5. ? / / / PSC 2006

6. ? /// BJS2009

7. ? /// BJS2007

8. ? /// BJS2007

9. ? /// PSC2007

10. ? /// NBR2012

11. ? /// NBR2012

12. ? /// BJS2012

13. ?/// BCS 31

14. ? /// -

15. ? /// PSC2006

16.

? / / / PSC 2006

17.

/// BJS2011/BCS11/PSC 2006/2009

18. ,

? / / / / / PSC 2006


19. 6 yx Ges 8xy nj 2yx KZ? 6 / 2 / 4 / 3 PSC 2007

20. 4 yx Ges 0xy nj, 33 yx KZ? 128/64/64/64 PSC 2007

21. +1

= 2 nj 2 +

1

2 Gi gvb KZ ? Dt 1 / 2 / 3 / 4

22. +1

= 2 nj 3 +

1

3 Gi gvb KZ ? Dt 1 / 2 / 3 / 4

23. +1

= 2 nj 4 +

1

4 Gi gvb KZ ? Dt 1 / 2 / 3 / 4

24. 21

xx nj

5

5 1

xx Gi gvb KZ ? Dt 1 / 2 / 3 / 4 Lv` gv.2012

25. 21

xx nj

12 xx

xGi gvb KZ ? Dt 1 / 2 / 3 / 4 PSC1996 / wbeb' 2010

YOU HAVE TO....

26. x msLK Avgi `vg y UvKv nj, x UvKvq KZwU Avg cvIqv hve ? Dt y

x

xy

x

x

y 2/

1// PSC 2006

27. 822 yx Ges 7xy nj 2yx Gi gvb KZ? 14 / 16 / 22 / 30 PSC 2003

28.

ca

ac

bc

cb

ab

baKZ? K. 0 L. 1 M.

2

1 N.

4

1 PSC 2003

29. 51

pp nj

21

pp KZ ? Dt 21/25/27/29 PSC 2006

30. 4

1/4/

2

1/1:?

13,4

12

Ansxx

xthen

xxIf

31. 6

1/6/

5

1/4:?

1,5

12

Ansxx

xthen

xxIf

32. 13

2/

7

6/

13

6/2:?

1

6,1

62

Ansxx

thenx

xIf

PSC 2011

BCS BJS BANK JOB SPOKEN & PHONETICS Always Keep n Touch : www.facebook.com/mathabdullah2020

bcs 001 & 002 ca without exam

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