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IBPS PO (PRE) - 2019 Direction (1-5): What approximate value should come in place of

the question mark(?) in the following questions?

1. 3.07 × 14.96 + (15.02)2 – (11.03)2 = ?

(a) 124 (b) 132 (c) 149 (d) 156 (e) 189

2. 111.01 – 211.09 + (12.01)2 = x – (4.09)2

(a) 48 (b) 55 (c) 70 (d) 60 (e) 85

3. 14.03 + (28.02)2 ÷ 6.98 + (3.96)2 = ?

(a) 142 (b) 156 (c) 182 (d) 166 (e) 124

4. (1 ÷ 7.01 + 1 ÷ 13.99 + 1 ÷ 27.99) × 100.09 = ?

(a) 14 (b) 25 (c) 30 (d) 35 (e) 42

5. 1325 × 17 + 20% of 508.24 - 85.39 of3

4?

(a) 5500 (b) 5350 (c) 5860 (d) 4900 (e) 5950

6. Raj give 60% of his monthly salary to his wife and the remaining

he invested in mutual fund. Out of the money his wife got, she

spent 20% on groceries, 30% on rent and remaining amount of

Rs. 18,000 she spent on buying gold. What is Raj's monthly

salary?

jkt vius ekfld osru dk 60% viuh iRuh dks nsrk gS vkSj 'ks"k mlus

E;wpqvy QaM esa fuos’k fd;k gSA mldh iRuh dks feys iSlksa esa ls mlus

20% fdjkus ds lkeku] 30% fdjk, ij vkSj 18]000 :i;s dh 'ks"k jkf’k

mlus lksuk [kjhnus essa [kpZ dhA jkt dk ekfld osru D;k gS\

(a) Rs. 50,000 (b) Rs. 76,000 (c) Rs. 40,000

(d) Rs. 60,000 (e) Rs. 80,000

7. 4 years ago, the ratio of A's and B's age is 5 : 3. The sum of the

present ages of A, B and C is 80 years. If C's present age is equal

to the sum of present ages of A and B What is present age of A?

4 lky igys A vkSj B dh vk;q dk vuqikr 5 : 3 gSA A, B vkSj C dh

orZeku vk;q dk ;ksx 80 o"kZ gSA ;fn C dh orZeku vk;q A vkSj B dh

orZeku vk;q ds ;ksx ds cjkcj gS] rks A dh orZeku vk;q D;k gS\

(a) 24 years (b) 20 years (c) 22 years

(d) 26 years (e) 18 years

8. Two persons A and B start a business with investments of Rs.

6000 and Rs. 9000 respectively and they invest for the

durations in the ratio 5:3. If the total profit is Rs. 4370, then

what is the share of A in the profit?

A, B fdlh O;kikj esa Øe’k% 6000 rFkk 9000 :i;s fuos’k djrs gS muds

le; dk vuqikr 5 : 3 gS ;fn dqy ykHk 4370 gS rks A dk ykHk fdruk

gksxk\

(a) Rs. 3400 (b) Rs. 2300 (c) Rs. 2700

(d) Rs. 1800 (e) Rs. 2070

9. In a milk and water solution, the ratio of milk and water is 3 : 1.

If 20 litres of mixture is taken out and 9 litres milk is added to

the mixture then the percentage water in the mixture becomes

214 %

7. What is the total volume of the initial mixture?

,d crZu esa nw/k vkSj ikuh dk vuqikr 3 : 1 gS ;fn 20 lit feJ.k

fudkydj 9 lit nw/k dh ek=k dks Mky fn;k tk, rks feJ.k esa ikuh dk

izfr’kr 2

14 %7

gks tkrk gSA feJ.k dh izkjfEHkd ek=k D;k gS\

(a) 32 litres (b) 48 litres (c) 36 litres

(d) 24 litres (e) 30 litres

10. A shopkeeper mixed two varieties of rice at Rs. 24/kg and Rs.

x/kg in the ratio 2 : 3 respectively and sold the mixture at Rs.

29.88/kg at 20% profit. Find the value of x.

,d nqdkunkj us nks fdLeksa ds pkoy 24 #i;s@fdxzk vkSj x

#i;s@fdxzk dks 2 : 3 ds vuqikr esa feyk;k vkSj feJ.k dks 20% ykHk

ij 29.88 #i;s@fdxzk dh nj ij cspkA x #i;s@fdxzk dk eku Kkr

djsaA

(a) 25 (b) 25.5 (c) 27

(d) 30 (e) None of these/buesa ls dksbZ ugha

11. In a 96 litre mixture of water and milk, water is only 40%. The

milkman sold 12 litres of the mixture to a customer and then

added 10 litres of pure milk and 15 litres of water in the

mixture. What is the approximate percentage of water in the

final mixture?

ikuh vkSj nw/k ds 96 yhVj feJ.k esa] ikuh dsoy 40% gSA nw/kokyk

feJ.k dk 12 yhVj xzkgd dks nsrk gS vkSj fQj feJ.k esa 10 yhVj

'kq) nw/k vkSj 15 yhVj ikuh feykrk gSA vafre feJ.k esa ikuh dk

vuqekfur izfr'kr D;k gS\

(a) 47 (b) 33 (c) 45 (d) 42 (e) 38

12. A, B and C together work per 5

547

days to complete a job. A is

133 %

3more efficient than C. C and B together can complete

the job in 8

89

days. Find the time taken by C to complete the

job?

A, B vkSj C ,d dk;Z dks iwjk djus ds fy, 5

547

fnu feydj dke djrs

gSA A, C ls 1

33 %3

vf/kd dq’ky gS rFkk C vkSj B ,d lkFk8

89

fnu ds

ml dk;Z dks iwjk djrs gSa C }kjk ml dk;Z dks iwjk djus ds fy, fy;k

x;k le; Kkr djsaa\

(a) 11 (b) 12 (c) 18

(d) 8 (e) None of these

13. Two pipes A and B can fill a tank in 60 hours and 40 hours

respectively and pipe C can empty the tank in 15 hours. If pipes

A and B are opened for 12 hours, then pipe C is also opened.

After how many hours, the tank will be emptied?

nks ikbi A vkSj B Øe'k% 60 ?kaVs vkSj 40 ?kaVs esa ,d VSad dks Hkj

ldrs gSaA ikbi C VSad dks 15 ?kaVs esa [kkyh dj ldrk gSA ;fn ikbi

A vkSj B dks 12 ?kaVs ds fy, [kksyk tkrk gS rks ikbi C dks Hkh [kksyk

tkrk gSA fdrus ?kaVksa ds ckn] VSad [kkyh gks tk,xk\

(a) 15 hours/ 15 ?kaVs (b) 20 hours/ 20 ?kaVs

(c) 12.5 hours/ 12.5 ?kaVs (d) 10 hours/ 10 ?kaVs

(e) None of these/buesa ls dksbZ ugha

14. There are 8 blue, 5 yellow and 7 red balls. What is the

probability of choosing either 1 yellow or red ball?

8 uhys] 5 ihys vkSj 7 yky xasn gSA 1 ihys ;k yky xsan dks pquus dh

izkf;drk D;k gksxh\

(a) 2/3 (b) 3/4 (c) 4/5 (d) 3/5 (e) 1/2

Direction (15-20): In the following question two equations are given

in variables X and Y. You have to solve these equations and determine

relation between X and Y.

funsZ'k (15-20) : fuEufyf[kr iz'u esa nks lehdj.k pj X vkSj Y esa fn, x,

gSaA vkidks bu lehdj.kksa dks gy djuk gksxk rFkk X vkSj Y ds chp laca/k

fu/kkZfjr djuk gksxkA

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15. I. 3x² + 23x + 42 = 0

II. y² – 42y + 437 = 0

(a) X > Y (b) X < Y (c) X ≥ Y

(d) X ≤ Y (e) X=Y or No relation can be established

16. I. x² + 6x – 135 = 0

II. y² + 10y – 144 = 0

(a) X > Y (b) X < Y (c) X ≥ Y


17. x2 = 144

y3 = 1728

(a) X > Y (b) X < Y (c) X ≥ Y


18. x2 = 25

y2 – 1 = 8

(a) X > Y (b) X < Y (c) X ≥ Y


19. x2 – 10x + 24 = 0

y2 – 12y + 35 = 0

(a) X > Y (b) X < Y (c) X ≥ Y


20. 2x2 – 19x + 45 = 0,

y2 – 11y + 30 = 0

(a) X > Y (b) X < Y (c) X ≥ Y


Direction (21 –26): What should come in place of the question mark

'?' in the following number series?

nZs'k (21 – 26): fuEufyf[kr la[;k J`a[kyk esa iz'u fpUg ¼\½ ds LFkku ij D;k

vkuk pkfg,\

21. 48, 63, 52, 67, ?, 71

(a) 52 (b) 60 (c) 54 (d) 62 (e) 56

22. 17, 29, 53, 101, 197, ?

(a) 391 (b) 374 (c) 383 (d) 375 (e) 389

23. 15, 24, 52, 117, ?, 460

(a) 237 (b) 243 (c) 257 (d) 251 (e) 239

24. 16, 21, 31, 45, 62, ?

(a) 81 (b) 89 (c) 87 (d) 78 (e) 93

25. 6, 11, 27, 86, ?, 1750

(a) 349 (b) 341 (c) 355 (d) 351 (e) 363

26. 5, 14, 78, 103, 319, ?

(a) 368 (b) 372 (c) 364 (d) 354 (e) 378

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Direction (27 – 32): Study the following graph carefully and answer

the questions given below:

The given bar graph depicting the number of pillows sold by two

stores A and B in the given 5 months.

funZs'k (27 – 32): fuEufyf[kr xzkQ dk /;kuiwoZd v/;;u djsa vkSj uhps fn,

x, iz'uksa ds mÙkj nsa%

uhps fn, x, ckj xzkQ esa 5 eghuksa esa nks LVksj A vkSj B }kjk csps x, rfd,

dh la[;k dks n'kkZ;k x;k gSA

27. What is the respective ratio between total number of pillows

sold by store A in June and July together and that by store B in

May and June together?

LVksj A }kjk twu vkSj tqykbZ esa vkSj LVksj B }kjk ebZ vkSj twu esa csph

xbZ dqy rfd;ksa dh la[;k dk lacaf/kr vuqikr fdruk gS\

(a) 14 : 9 (b) 16 : 13 (c) 14 : 11 (d) 12 : 7 (e) 16 : 11

28. If the total number of pillows sold by stores A and B together in

August is 230 more than that sold in May, then what is the total

number of pillows sold by stores A and B together in August?

;fn vxLr esa LVksj A rFkk B }kjk ,d lkFk csph tkus okyh rfd;ksa

dh dqy la[;k ebZ esa csph xbZ rfd;ksa dh dqy la[;k ls 230 vf/kd

gS] rks vxLr esa LVksj A vkSj B }kjk ,d lkFk csph tkus okyh rfd;ksa

dh dqy la[;k fdruh gS\

(a) 690 (b) 720 (c) 710 (d) 680 (e) 700

29. The respective ratio between number of pillows sold by store A

in February and March is 11 : 7 and the respective ratio between

number of pillows sold by store B in February and April is 9 : 13.

What is the difference between number of pillows sold by stores

A and B in February?

Qjojh vkSj ekpZ esa LVksj A }kjk csps x, rfd, dh la[;k ds chp dk

lacaf/kr vuqikr 11 : 7 gS vkSj LVksj B }kjk Qjojh vkSj vizSy eas csps

x, rfd, dh la[;k ds chp dk vuqikr 9 : 13 gSA Qjojh esa LVksj A

vkSj B }kjk csps tkus okys rfd, dh la[;k ds chp dk varj fdruk

gS\

(a) 170 (b) 160 (c) 150 (d) 200 (e) 180

30. What is the percentage increment in the number of pillows sold

by store A from April to June?

vizSy ls twu rd LVksj A }kjk csph tkus okyh rfd;ksa dh la[;k esa

gksus okyh izfr'kr o`f) fdruh gS\

(a) 7

6311

(b) 3

6911

(c) 1

7111

(d) 5

6511

(e) 4

6111



31. What is the average number of pillows sold by store B in March,

April and June?

ekpZ] vizSy vkSj twu esa LVksj B }kjk csps tkus okyh rfd;ksa dh vkSlr

la[;k D;k gksxh\

(a) 280 (b) 300 (c) 270 (d) 310 (e) 290

32. If the total number of pillows sold by stores A and B together in

December is 15% less than that in July, then what is the total

number of pillows sold by stores A and B together in December?

;fn fnlacj esa LVksj A vkSj B }kjk ,d lkFk csph tkus okyh rfd;ksa

dh dqy la[;k tqykbZ ls 15% de gS] rks LVksj A vkSj B }kjk fnlacj

esa csph tkus okyh rfd;ksa dh dqy la[;k fdruh gS\

(a) 468 (b) 456 (c) 436 (d) 442 (e) 454

Direction (33 – 37): Study the pie-chart carefully and answer the

following questions:

Given below is the pie chart depicting the total number of shirts sold

by 5 stores in in the year 2003.

funZs'k (33 – 37): ikbZ&pkVZ dk /;kuiwoZd v/;;u djsa vkSj fuEufyf[kr iz'uksa

ds mÙkj nsa%

uhps fn;k x;k ikbZ pkVZ o"kZ 2003 esa 5 nqdkuksa }kjk csph xbZ 'kVZ dh dqy

la[;k dks n'kkZrk gSA

dqy csph xbZ 'kVZ = 2800

32%

14%

10%

28%

16%

33. Store D sold only two types of shirts formal and casual. If the

average of the number of formal shirts sold by store D is 664,

then what is the respective ratio between the number of formal

and casual shirts sold by store D?

LVksj D us QkWeZy vkSj dSlqvy dsoy nks izdkj ds 'kVZ cspsA ;fn LVksj

D }kjk csph tkus okyh QkWeZy 'kVZ dh la[;k dk vkSlr 664 gS] rks LVksj

D }kjk csph xbZ QkWeZy vkSj dSlqvy 'kVZ dh la[;k ds chp dk lacaf/kr

vuqikr D;k gksxk\

(a) 83 : 27 (b) 83 : 21 (c) 83 : 31 (d) 83 : 29 (e) 83 : 19

34. If the average number of shirts sold by store C in 2003 and 2004

is 343, then the number of shirts sold by store C in 2004 is what

percent less than the number of shirts sold by the same store in

2003?

;fn 2003 vkSj 2004 esa LVksj C }kjk csph xbZ 'kVZ dh vkSlr la[;k 343

gS] rks 2004 esa LVksj C }kjk csph xbZ 'kVZ dh la[;k 2003 esa blh LVksj

}kjk csph xbZ 'kVZ dh la[;k ls fdrus izfr’kr de gS\

(a) 20% (b) 35% (c) 30% (d) 15% (e) 25%

35. What is the difference between number of shirts sold by A and

that by B?

A vkSj B }kjk csph tkus okyh 'kVZ dh la[;k ds chp dk vUrj fdruk

gS\

(a) 518 (b) 498 (c) 516 (d) 496 (e) 504

36. What is the central angle correspondent to the number of shirts

sold by D?

D }kjk csps tkus okys 'kVZ dh la[;k ds fy, dsanzh; dks.k D;k gksxk\

(a) 120.8° (b) 112.4° (c) 108.6° (d) 124.4° (e) 115.2°

37. Number of shirts sold by E increased by 50% from 2003 to 2004

& decreased by 25% from 2004 to 2005. What is the number of

shirts sold by E in 2005?

E }kjk csph xbZ 'kVksZa dh la[;k esa 2003 ls 2004 rd 50% dh o`f) gqbZ

vkSj 2004 ls 2005 rd 25% dh deh gqbZA 2005 esa E }kjk csph xbZ

'kVZ dh la[;k fdruh gS\

(a) 504 (b) 488 (c) 516 (d) 498 (e) 518

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Direction (38 – 43): Study the following information carefully and

answer the given questions.

funsZ’k (38 - 43) : fuEufyf[kr tkudkjh dk /;kuiwoZd v/;;u djsa vkSj fn,

x, iz’uksa ds mŸkj nsaA

In the table, the details of total number students and students in class

10 is given.

rkfydk esa] 10oha d{kk esa dqy Nk= vkSj Nk=kvksa dk fooj.k fn;k x;k gSA

School Total number

of students

(Male + Female)

Number of

students

(Male + Female)

in class 10

Number of

Females in

class 10

A 250 48 12

B 480 64 10

C 360 80 25

38. In school C, the number of female students in classes other than

Class 10 is 101. What percent of student in school C are female?

Ldwy C esa] 10oha d{kk ds vykok vU; d{kkvksa esa Nk=kvksa dh la[;k 101

gSA Ldwy C esa fdrus izfr’kr Nk=k,a gSa\

(a) 30% (b) 46% (c) 26% (d) 40% (e) 35%

39. What is the difference between number of male students in

class 10 of school A and that of school B?

10oha d{kk esa Ldwy A vkSj Ldwy B ds Nk=ksa dh la[;k esa fdruk varj

gS\

(a) 12 (b) 18 (c) 11 (d) 16 (e) 5

40. In school A, there are only three classes 8th, 9th and 10th. If the

respective ratio between the number of students (male +

female) in class 8th and class 9th is 55 : 46. What is the number

of student (male + female) in class 8th?

Ldwy A esa] dsoy rhu d{kk,¡ gSa 8oha] 9

oha vkSj 10

oha gSaA ;fn d{kk 8

oha vkSj

d{kk 9oha esa Nk=ksa vkSj Nk=kvksa dh la[;k ds chp lacaf/kr vuqikr 55 %

46 gSA rks 8oha d{kk esa Nk=ksa vkSj Nk=kvksa dh la[;k fdruh gS\

(a) 56 (b) 165 (c) 110 (d) 132 (e) 99

41. In school B, the number of students (male + female) in classes

other than class 10 is what % more than the number of students

(male + female) in class 10?

Ldwy B esa] d{kk 10 ds vykok vU; d{kkvksa esa Nk=ksa vkSj Nk=kvksa dh

la[;k d{kk 10 esa Nk=ksa vkSj Nk=kvksa dh la[;k ls fdrus % vf/kd gS\

(a) 560 (b) 550 (c) 660 (d) 650 (e) 450

42. What is the respective ratio between the number of students

(male + female) in class 10 of school C and total number of

students (male + female) in all class together of school B?

Ldwy C dh d{kk 10 esa Nk=ksa vkSj Nk=kvksa dh la[;k vkSj Ldwy B dh

lHkh d{kkvksa ds dqy Nk=ksa vkSj Nk=kvksa dh la[;k ds chp dk vuqikr

D;k gksxk\

(a) 1 : 8 (b) 1 : 9 (c) 1 : 4 (d) 1 : 6 (e) 1 : 16

43. What is average number of students (male + female) in class 10

of schools A and B?

Ldwy A vkSj B dh d{kk 10 ds fo|kfFkZ;ksa dh vkSlr la[;k fdruh gS\

(a) 56 (b) 58 (c) 55 (d) 52 (e) 54



1. (c)

3.07 × 14.96 + (15.02)2 – (11.03)2 = ?

45 + 26 × 4 = x

45 + 104 = x

149 = x

2. (d)

111.01 – 211.09 + (12.01)2 = x – (4.09)2

X = 44 + 16 = 60

3. (a)

14.03 + (28.02)2 ÷ 6.98 + (3.96)2 = ?

14 + 4 × 28 + 16 = ?

142 = ?

4. (b)

(1 ÷ 7.01 + 1 ÷ 13.99 + 1 ÷ 27.99) × 100.09 = ?

1 1 1

7 14 28

+ +

× 100 = ?

4 2 1

28

+ +× 100 = ?

? = 25

5. (b)

1325 × 4 + 508

5- 84 ×

3

4

5300 + 101 – 63 = 5332

6. (d)

Let total amount Raj has = 100%

Wife will get 60%, out of these she spent 50%.

So, remaining amount = 1

2× 60% = 30%

30% = 18000

So, 100% = 60000

7. (a)

Present age of A = 5x+4

Present age of B = 3x+4

Present age of C = 5x+4 + 3x+4

5x+4 + 3x+4 + 5x+4 + 3x+4 = 80

or, x = 4

So, Present age of A = 5x+4 = 24

8. (b)

A : B

Investment 6 : 9

Time 5 : 3 Profit of A =4370

19× 10 = 2300

Profit 10 : 9

9. (a)

Let initial quantity of Milk and Water 3x, x

20 liter of mixture taken out

Remaining Milk = 3x -20

4× 3 = 3x – 15

Remaining Water = x - 20

4× 1 = x – 5

9 liter Milk added = 3x – 15 + 9 = 3x – 6

Water become =2

14 %7

Milk Water

6 : 1

Milk 3x -6 6

= =Water x -5 1

⇒ 3x – 6 = 6x – 30

3x = 24

x = 8

Solutions

❖ Neon Approach (Thought Process):

Aryan Ratio :

⇒ 18000 10

5 60 × 100 = 60000


A+B = 40-8=32

Present Age of A = 32

8×5+4=24 year


check by option

we subtract 4 from the option and number should

be multiple of 5

(a) 24 - 4 = 20 √

(b) 20 - 4 = 16 ×

(c) 22 - 4 = 18 ×

(d) 26 - 4 = 22 ×

(e) 18 - 4 = 14 ×


there are the more possibility answer should be multiple

of 19 or 23 so (b) option is correct.

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initial quantity of mixture = 3x + x = 4x = 4 × 8 = 32

10. (b)

CP of mixture = 29.88×100

120

= 24.9 Rs. Kg

By solving x = 25.5

By Alligation,


M : W

3 : 1 = 4 (Ratio of Milk and Water in Remaining mixture)

6 : 1 = 7 (when 9 liter milk is added water will be same)

quantity of initial mixture = 9

3× 4 + 20 = 32 liter


By CPR

Water is 25%

The water become 2

14 %7

3

7 decrement

3

4 increment

initial mixture = 12 + 20 = 32 litre


Total decrement in mixture = 20 – 9 = 11

Final Ratio of Milk and Water = 6 : 1 = 7

Option esa 11 ?kVkus ij uEcj 7 dk Multiple gksuk pkfg,A

Only (a) option is right.


CP of mixture =29.88

6× 5 = 24.9

Ratio of quantity of Rice 2 : 3 = 5

Price 24 : x 24.9

then x = 24.9 +0.9 2

3

= 24.9 + .6 = 25.5



11. (c)

Water = 96×40

100=38.4 lit

Milk Water

87.6 38.4 ⟺ 3 : 2

-12×3

5= -7.2 -12×

2

5= -4.8

50.4 33.6

+10 +15

60.4 48.6

Required % =48.6

109× 100 = 44.58 ≈ 45%

12. (b)

A, B and C together works for 5

547

days to complete a job,

then

One day’s work of (A + B + C) = 47

240

B and C together complete the job in 8

89

days, then

One day’s work of (B + C) =9

80

So, One day’s work of A = 47 9 1

240 80 12− =

So, time taken by A to complete the job = 12 days

The Ratio of efficiency of A and C = 4 : 3

So time taken by C to complete the job =12 4

3

= 16 days

13. (b)

Let capacity of tank = 120 units

Capacity of A =120

60= 2 unit/hr

Capacity of B =120

40= 3 unit/hr

Capacity of C = 120

15= 8 unit/hr

In 12 hrs., A & B will fill 12×(2+3) = 60 units

Tank will be emptied after ( )

60

2 3 8+ −= 20 hrs.

14. (d)

Probability of choosing either 1 yellow or red ball =

( )

( )12 3

8 7 5 0 5

7+5

2= =

+ +

15. (b)

I. 3x²+23x+42=0

3x²+14x+9x+42=0

x(3x+14)+3(3x+14)=0

(x+3)(3x+14)=0

X=-3, 14

3−

II. y²-42y+437=0

y²-19y-23y+437=0

y(y-19)-23(y-19)=0

(y-23)(y-19)-0

Y=23,19


Water : Milk

84 × (2 : 3 = 5) (Remaining quantity)

25 × (3 : 2 = 5) (quantity added)

Required percentage of water = 168 75

5 109

+

× 100 = 45%


T.T. T.W. efficiency

A+B+C 240

47 47

240

B + C 80

9 27

Efficiency of A = 20

Efficiency of C = 15

So time taken by C to complete the job = 240

15= 16


A – 60 +2

B – 40 120 +3

C – 15 - 8


Blue Yellow Red

8 5 7

Either 1 yellow or Red Ball = 1

1

12C 12 3= =

20C 20 5


Either 1 yellow or Red Ball = 1 -8

20=

12

20=

3

5


+ + - -

- + + +

+ - - +

- - + -

3x2 + 23x + 42 = 0 y2 - 42y + 437 = 0

x = - y = +

x = - y = +

x < y (we can find answer from the sign)

(x has 2 -ve value and y has 2 +ve value. So y is always

greater than x)

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16. (e)

I. x²+6x-135=0

x²-9x+15x-135=0

x(x-9)+15(x-9)=0

(x+15)(x-9)=0

X=-15, 9

II. y²+10y-144=0

y²+18y-8y-144=0

y(y+18)-8(y+18)=0

(y-8)(y+18)=0

Y=8,-18

17. (d)

x2 = 144

x = 12, -12

Y3 = 1728

Y = 12

So, X ≤ Y

18. (e)

x2 = 25

x = 5, -5

y2 – 1 = 8

y2 = 9

y = 3,-3

No relation can be established

19. (e)

x2 – 10x + 24 = 0

x2 – 6x – 4x + 24 = 0

x = 6,4

y2 – 12y + 35 = 0

y2 – 5y – 7y+ 35 = 0

y = 5,7

No relation can be established


x2 + 6x – 135 = 0 y2 + 10y - 149 = 0

x = -, + y = -+

CND (relation can’t established)


x2 = 144

y3 = 1728

x = + 12 y = 12

x < y


x2 = 25

y2 = a

x = + y = +



x2 – 10x + 24 = 0 y2 – 12y + 35 = 0

+6 < +7

+4 > +5




20. (d)

2x2 – 19x + 45=0

2x2 – 10x -9x + 45=0

x = 4.5, 5

y2 – 6y -5y + 30=0

y = 6, 5

X ≤ Y

21. (e)

48 + 15 = 63

63 - 11 = 52

52 + 15 = 67

67 - 11 = 56

56 + 15 = 71

22. (e)

17 + (6 × 2) = 29

29 + (6 × 4) = 53

53 + (6 × 8) = 101

101 + (6 × 16) = 197

197 + (6 × 32) = 389

23. (b)

24. (a)

25. (a)

26. (a)

27. (e)

Required ratio = (360+280) : (270+170)

= 640:440 = 16:11

28. (a)

number of pillows sold by A & B together in May = 460

number of pillows sold by A & B together in August = 460+230

= 690

29. (a)

number of pillows sold by A in March = 280 = 7 units(given)

So, 11 units = 440 = number of pillows sold by A in February

number of pillows sold by B in April = 390 = 13 units(given)

So, 9 units = 270 = number of pillows sold by B in February

Difference = 440-270 = 170

30. (a)

Required % = (360-220)×100

220=

763

11

31. (e)

Average number of pillows sold by B in March, April & June =

( )310+390+170

3= 290

32. (d)

number of pillows sold by A & B together in July = (280+240) =

520

number of pillows sold by A & B together in December = 520×

( )100-15

100= 442

33. (d)

number of shirts by D = 32% of 2800 = 896

number of casual shirts by D = 896 - 664 = 232

Required ratio = 664 : 232 = 83:29

34. (e)

number of shirts sold by C in 2003 = 14% of 2800 = 392

Total number of shirts sold by C in 2003 & 2004 = 343×2 = 686

So, number of shirts sold by C in 2004 = 686-392 = 294

Required % = (392-294)×100

392= 25%

35. (e)

Required difference = (28-10)% of 2800 = 504

36. (e)


2x2 – 19x + 45 = 0 y2 – 11y + 30 = 0

10

2+ < +6

9

2+ = +5 x < y


Excess = 140 + 220 = 360

Required average = 170 + 360

3= 290


December (A+B) : July (A+B)

17 : 20

Answer will be multiple of 17 only (d) option


Shirt sold by store C in 2003 = 28×14 = 392

Avg = 343

Excess = 392 – 343 = 49

Shirt sold by store C in 2004 = 343 – 49 = 294

Required % = 98

392× 100 = 25%


Difference between A and B = 2800 dk (28%-10%)

= 2800 dk 18% = 504

(multiple of 9) (last digit 4) only (c) option

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100% = 360°

So, 32% = 115.2°

37. (a)

Number of shirts sold by E in 2004 = 2800× 16 150

100 100 = 672

Number of shirts sold by E in 2005 = 672 ×75

100= 504

38. (e)

Total number of female students in school C = 101 + 25 = 126

Required % =126

360× 100 = 35%

39. (b)

male students in class 10 of school A = 48-12 = 36

male students in class 10 of school B = 64-10 = 54

Difference = 54-36 = 18

40. (c)

number of students in class 10 = 48

number of students in class 8th, 9th = 250-48 = 202

So, number of students in class 8th = 202×55

101= 110

41. (b)

In school B, the number of students (male + female) in classes

other than class 10 = 480 - 64 =416

number of students (male + female) in class 10 = 64

Required % = (416-64)×100

64= 550

42. (d)

number of students (male + female) in class 10 of school C = 80

total number of students (male + female) in all class together of

school B = 480

Ratio = 80:480 = 1:6

43. (a)

average number of students (male + female) in class 10 of

schools A and B = 48+64

2=56


Initial Final

50% 2 : 3

25% 4 : 3

8 : 9

Number of shirt sold by E in 2015 =28 16

8

× 9 = 504

or answer will be multiple of 9 only (a) option

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