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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
(d) X ≤ Y (e) X=Y or No relation can be established
17. x2 = 144
y3 = 1728
(a) X > Y (b) X < Y (c) X ≥ Y
(d) X ≤ Y (e) X=Y or No relation can be established
18. x2 = 25
y2 – 1 = 8
(a) X > Y (b) X < Y (c) X ≥ Y
(d) X ≤ Y (e) X=Y or No relation can be established
19. x2 – 10x + 24 = 0
y2 – 12y + 35 = 0
(a) X > Y (b) X < Y (c) X ≥ Y
(d) X ≤ Y (e) X=Y or No relation can be established
20. 2x2 – 19x + 45 = 0,
y2 – 11y + 30 = 0
(a) X > Y (b) X < Y (c) X ≥ Y
(d) X ≤ Y (e) X=Y or No relation can be established
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
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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
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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
❖ Neon Approach (Thought Process):
A+B = 40-8=32
Present Age of A = 32
8×5+4=24 year
❖ Neon Approach (Thought Process):
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 ×
❖ Neon Approach (Thought Process):
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,
❖ Neon Approach (Thought Process):
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
❖ Neon Approach (Thought Process):
By CPR
Water is 25%
The water become 2
14 %7
3
7 decrement
3
4 increment
initial mixture = 12 + 20 = 32 litre
❖ Neon Approach (Thought Process):
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.
❖ Neon Approach (Thought Process):
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
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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
❖ Neon Approach (Thought Process):
Water : Milk
84 × (2 : 3 = 5) (Remaining quantity)
25 × (3 : 2 = 5) (quantity added)
Required percentage of water = 168 75
5 109
+
× 100 = 45%
❖ Neon Approach (Thought Process):
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
❖ Neon Approach (Thought Process):
A – 60 +2
B – 40 120 +3
C – 15 - 8
❖ Neon Approach (Thought Process):
Blue Yellow Red
8 5 7
Either 1 yellow or Red Ball = 1
1
12C 12 3= =
20C 20 5
❖ Neon Approach (Thought Process):
Either 1 yellow or Red Ball = 1 -8
20=
12
20=
3
5
❖ Neon Approach (Thought Process):
+ + - -
- + + +
+ - - +
- - + -
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
❖ Neon Approach (Thought Process):
x2 + 6x – 135 = 0 y2 + 10y - 149 = 0
x = -, + y = -+
CND (relation can’t established)
❖ Neon Approach (Thought Process):
x2 = 144
y3 = 1728
x = + 12 y = 12
x < y
❖ Neon Approach (Thought Process):
x2 = 25
y2 = a
x = + y = +
CND (relation can’t established)
❖ Neon Approach (Thought Process):
x2 – 10x + 24 = 0 y2 – 12y + 35 = 0
+6 < +7
+4 > +5
CND (relation can’t established)
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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)
❖ Neon Approach (Thought Process):
2x2 – 19x + 45 = 0 y2 – 11y + 30 = 0
10
2+ < +6
9
2+ = +5 x < y
❖ Neon Approach (Thought Process):
Excess = 140 + 220 = 360
Required average = 170 + 360
3= 290
❖ Neon Approach (Thought Process):
December (A+B) : July (A+B)
17 : 20
Answer will be multiple of 17 only (d) option
❖ Neon Approach (Thought Process):
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%
❖ Neon Approach (Thought Process):
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
❖ Neon Approach (Thought Process):
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