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IBPS RRB PO Prelims 2020 Memory Based Paper– (English Version)
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Reasoning Ability
Directions (1-5): Answer the questions based on
the information given below.
Seven persons A, B, C, D, E, F, and G are
sitting in a row facing north. They have different
ages 10, 12, 18, 20, 25, 26, and 32 but not
necessarily in the same order.
E sits third from the end of the row. Two persons
are sitting between E and the one whose age is
18. A is the youngest person and sits two places
away from the one whose age is 18. B is 26
years old and sits third to the left of F. D sits
second to the right of F who is not an immediate
neighbour of G. F is the eldest person. G is elder
than E but younger than D.
1. D’s age is _____
a) 20
b) 12
c) 26
d) 18
e) 25
2. What is the sum of the ages of G and C?
a) 36
b) 48
c) 38
d) 42
e) 28
3. The number of persons sit right of C is the
same as to the left of _____
a) The one whose age is 26
b) E
c) The one whose age is 20
d) A
e) D
4) Four of the following five are alike in a certain
way based on the given arrangement and so
form a group. Which of the following one does
not belong to that group?
a) G
b) B
c) D
d) F
e) C
5. What is the position of G with respect to the
one whose age is 12?
a) Immediate right
b) Immediate left
c) Second to the left
d) Third to the right
e) Second to the right
Directions (6-8): In each of the following
questions, the relationship between different
elements is shown in the statements followed by
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two conclusions. Find the conclusion which is
definitely true.
Give answer:
a) If only conclusion I follows.
b) If only conclusion II follows.
c) If either conclusion I or II follows.
d) If neither conclusion I nor II follows.
e) If both conclusions I and II follow.
6. Statements:
R ≥ T = V ≤ F , N = L > F
Conclusion:
I). N < V
II). L > R
7. Statements:
X > H = C <W , G > C = Y
Conclusion:
I). W > Y
II). H > G
8. Statements:
A = B ≥ C= D > T = V
Conclusion:
I). A ≥ D
II). C > V
Directions (9-10): Some statements are followed
by some conclusions. Read the statements
carefully and answer which of the conclusions
follows the given statement.
9. Statements:
Only a few Maida is Bread.
No Bread is Cream.
All Creams are Cakes.
Some Cake is Wheat.
Conclusions:
I. Some Maida is not Cream.
II. All Wheat can be Bread.
a) Only I follows
b) Only II follows
c) Either I or II follows
d) Neither I nor II follows
e) Both I and II follow
10. Statements:
All Bags are Jute.
Some Bag is Silk.
No Silk is Saree.
Only a few Sarees are Cotton.
Conclusions:
I. Some Jute is Cotton.
II. No Cotton is Jute.
a) Only I follows
b) Only II follows
c) Either I or II follows
d) Neither I nor II follows
e) Both I and II follow
Directions (11-15): Study the following
information carefully and answer the below
questions:
Eight persons P, Q, R, S, T, U, V, and W live on
4 different floors of the same building, such that
the bottom-most floor is numbered as 1 and
the floor just above 1 is numbered as 2 and so
on till the topmost floor is numbered as 4.
Each floor has two flats, flat 1 and flat 2. Flat 1 is
exactly to the west of flat 2. Only one person
lives in each flat.
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T lives two floors above S who lives east of W.
The number of floors above T is the same as the
number of floors below U. Neither T nor U lives
in the same type of flat. R lives two floors above
the one who lives immediately below P. R and P
are living in the same type of flat. T lives neither
north nor north-east flat of V. The direction of U
with respect to W is the same as the direction of
P with respect to Q.
11) Who lives in flat 1 ofthe 3rd floor?
a) V
b) T
c) S
d) Q
e) P
12) As many floors above U is same as below
_____?
a) P
b) R
c) Q
d) W
e) S
13) Who among them lives on an even-
numbered floor?
I) R
II) T
III) Q
a) Only (I) and (II)
b) Only (II) and (III)
c) Only (III)
d) Only (I) and (III)
e) All are (I), (II) and (III)
14) Who lives in flat 1?
a) R
b) U
c) P
d) S
e) V
15) Four of the five among the following are
similar in such a way to form a group,
whoamong the following one doesn’t belong to
the group?
a) V, P
b) T, U
c) Q, S
d) R, T
e) Q, V
Directions (16-20): Study the following
information carefully and answer the questions
given below:
In a certain code language:
“Indian Cuisines are best” is coded as “to ckzg
lm”
“You like Indian Cuisines” is coded as “tp lm to
mp”
“He like Indian Chinese” is coded as “tp lm cztz”
“He and you are best”is coded as “yompcktzzg”
16. What is the code for “you he” as per the
given code language?
a) mptz
b) mpzg
c) tz lm
d) yotp
e) to tp
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17. What is the code for “like” as per the given
code language?
a) lm
b) to
c) tp
d) ck
e) zg
18. What may be the possible code for “I like
chinese” as per the given code language?
a) sl to lm
b) sltpcz
c) mptp lm
d) cz lm to
e) lm czmp
19. What is the code for “you are best” as per
the given code language?
a) mpckzg
b) ckzgtz
c) mpck lm
d) ck lm zg
e) None of these
20. Which of the following words have the code
of “to tp lm mp”?
a) best Cuisines are Indian
b) Cuisines you Indian and
c) Indian you are best
d) you like Indian cuisines
e) None of these
Directions (21-25): Answer the questions based
on the information given below.
A certain number of persons are sitting in a
straight row facing north direction.U sits eighth
to the left of V. U sits exactly between X and S.
Not more than two persons are sitting between
X and U. X sits fifth from the left end of the row.
T sits second to the right of S. T doesn’t sit
adjacent to U. Four persons are sitting between
T and W, who sits third to the left of Y, who sits
third from the end. More than four persons
aresitting between U and Z, who sits second
from one of the extreme ends of the row but not
an immediate neighbor of Y.
21) Who among the following person sits
between Z and S?
a) V
b) X
c) U
d) Both (a) and (b)
e) Both (b) and (c)
22) Who among the following person sits exactly
in the middle of the row?
a) The one who sits third to the right of U
b) T
c) The one who sits immediate left of T.
d) V
e) None of these
23) What is the position of V with respect to W?
a) Immediate left
b) Immediate right
c) Second to the right
d) Second to the left
e) None of these
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24) How many persons are sitting to the left of
U?
a) Five
b) Six
c) Seven
d) Four
e) None of these
25) How many persons are sitting between Z
and S?
a) Six
b) Four
c) Seven
d) Eight
e) None of these
Direction (26-30): Answer the questions based
on the information given below.
Nine persons P, Q, R, S, T, U, V, W, and X are
sitting around a circular table but not necessarily
in the same order. Some of them are facing the
center and the remainingare facing opposite to
the center.All the persons are sitting at an equal
distance between them.
U sits third to the right V. Two-person sits
between U and T who face opposite to the
center. Neither V nor T is an immediate neighbor
of P. W sits second to the left of P who faces the
same direction as T. Q sits immediate left of W.
S sits third to the right of X who sits immediate
right of R. S and X faces the same direction. Not
more than two persons are facingthe same
directionsit together. R and T, not immediate
neighbours.
26) How many persons are sitting between X
and P when counted from the left of P?
a) Two
b) Four
c) Three
d) Five
e) None of these
27) Who among the following sits third to the
right of V?
a) The one who sits immediate right of Q
b) W
c) Q
d) The one who sits immediate left of P
e) None of these
28) Who is sitting adjacent to R?
a) X
b) S
c) V
d) Both (a) and (b)
e) Both (a) and (c)
29) Four of the following five pairs are alike in a
certain way based on the given arrangement
and so form a group. Which of the following one
does not belong to that group?
a) QU
b) PV
c) SU
d) RT
e) WP
30) What is the position of Q with respect to R?
a) 3rd to the left
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b) 3rd to the right
c) 5th to the left
d) 2nd to the right
e) None of these
Directions (31-35): Study the following
information carefully and answer the below
questions.
Ten boxes namely – P, Q, R, S, T, U, V, W, X,
and Y are kept one above the other in a stack
but not necessarily in the same order.
Box S is kept fourth from the bottom. Box
adjacent to S has kept four places below T,
which is kept just below the box W. The number
of boxes above W is one more than the number
of boxes below P. Two boxes are kept between
P and Q. Only three boxes are kept between Q
and R. Box Y has kept three boxes above box X.
The number of boxes between Y and W is the
same as the number of boxes between X and U.
31) What is the position of the box Y with
respect to S?
a) Three places above
b) Immediate above
c) Two places above
d) Immediate below
e) None of these
32) How many boxes are kept between W and
Q?
a) As many boxes are kept between X and T.
b) Five
c) Four
d) As many as boxes are kept between Y and R.
e) None of these
33) Which of the following statement is/are not
true?
a) Three boxes are kept between V and T.
b) Box Q has kept two places above T.
c) Box P is kept just below S.
d) One box is kept between W and Q.
e) All of the above statements are not true.
34) Find the odd one out?
a) PSX
b) QYW
c) TRW
d) YSQ
e) VWR
35) Which of the following box is kept three
places above Y?
a) P
b) V
c) S
d) R
e) None of these
36) How many pairs of letters are there in the
word “GERUNDER” each of which has as many
letters between them in the word as in the
English alphabetical series(both forward and
backward direction)?
a) Three
b) Two
c) Four
d) one
e) More than four
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Directions (37-39): Study the following
information carefully and answer the questions
below.
Person A is 7m west of Person C. Person B is
6m South of person F. Person E is 3m North of
person G and 2m west of person C. Person D is
8m North of person F who is 10m west of person
A.
37) What is the shortest distance between D and
E?
a) 15m
b) 20m
c) 17m
d) 22m
e) 12m
38) What is the direction of G with respect to B?
a) Northwest
b) Southeast
c) West
d) Southwest
e) Northeast
39) Which of the following persons are in a
straight line?
a) CEF
b) AEG
c) DBC
d) AFB
e) CED
40) How many such numerals are there in the
number ‘5687264493’ which will remain at the
same position when arranged in ascending
order from right to left?
a) 1
b) 3
c) 2
d) 4
e) None of these
Quantitative Aptitude
Directions (41-45): What value should come in
the place of (?) in the following number series?
41) 12, 18, 36, 90, ?, 945
a) 360
b) 180
c) 270
d) 450
e) 540
42) 924, 581, 365, 240, 176, ?
a) 149
b) 132
c) 137
d) 143
e) 127
43) 2, 9, 23, ?, 107, 219
a) 48
b) 51
c) 68
d) 72
e) 64
44) 32, 39, 53, 74, 102, ?
a) 137
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b) 143
c) 147
d) 133
e) 127
45) 18, 22, 38, 42, ?, 62
a) 55
b) 48
c) 52
d) 58
e) 60
Directions (46-51): Study the following
information carefully and answer the questions
given below.
The given table shows the total number of
students (ECE and CSE) and the number of
CSE students and the percentage of the number
of girls in CSE departments in four different
colleges.
46) Find the average number of boys in CSE
departments in all the colleges together?
a) 64
b) 66
c) 68
d) 72
e) 74
47) What is the ratio of the number of ECE
department students in A and E?
a) 11:7
b) 11:6
c) 3:2
d) 23:14
e) None of these
48) The number of students in E is 20% more
than the number of ECE students in B. If the
ratio of the number of CSE and ECE students in
E is 5:4, then find the number of CSE students
in E?
a) 360
b) 380
c) 400
d) 420
e) 440
49) The number of ECE students in C is what
percent of the number of girls in CSE in A and
D?
a) 294.11%
b) 296.13%
c) 298.15%
d) 292.19%
e) 290.23%
50) Find the average number of CSE students in
all the colleges together?
a) 214.5
b) 217.5
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c) 219.5
d) 212.5
e) 220.5
51) The number of students in E is 80% more
than that of B and the number of CSE students
in E is 856. Find the difference between the
number of ECE students in D and E?
a) 74
b) 78
c) 76
d) 68
e) 70
Directions (52-56): Following question contains
two equations as I and II. You have to solve both
equations and determine the relationship
between them and give an answer as,
52)
I) x2 = 16
II) y2 – 8y + 16 = 0
a) x > y
b) x ≥ y
c) x = y or relationship can’t be determined.
d) x < y
e) x ≤ y
53)
I) 3x2 – 18x + 24 = 0
II) y2 – 9y + 18 = 0
a) x > y
b) x ≥ y
c) x = y or relationship can’t be determined.
d) x < y
e) x ≤ y
54)
I) x2 – 27x + 180 = 0
II) y2 – 23y + 132 = 0
a) x > y
b) x ≥ y
c) x = y or relationship can’t be determined.
d) x < y
e) x ≤ y
55)
I) x2 – 32x + 192 = 0
II) y2 – 50y + 625 = 0
a) x > y
b) x ≥ y
c) x = y or relationship can’t be determined.
d) x < y
e) x ≤ y
56)
I) x3 = -343
II) y2 + 17y + 72 = 0
a) x > y
b) x ≥ y
c) x = y or relationship can’t be determined.
d) x < y
e) x ≤ y
57) A, B and C started the business and the
investment of A and B in the ratio of 8:5 and the
investment of C is 20% more than that of B. If
the investment period of A, B and C is 8 months,
16 months and 12 months respectively and the
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average of the profit share of B and C is
Rs.3420, then find the total profit of the
business?
a) Rs.9720
b) Rs.9740
c) Rs.9760
d) Rs.9780
e) None of these
58) Area of the square A and perimeter of
square B is 1024 cm2 and 88 cm respectively. If
the length of rectangle is 4 cm more than the
side of the square A and the breadth of the
rectangle is equal to the side of the square B,
then find the perimeter of the rectangle?
a) 112 cm
b) 116 cm
c) 118 cm
d) 120 cm
e) 108 cm
59) A bag contains 4 yellow, 3 pink and 5 blue
balls. If three balls are drawn at random, then
what is the probability of that one is pink and two
are yellow?
a) 9/220
b) 2/55
c) 1/44
d) 3/110
e) 1/55
60) The ratio of the marked to cost price of the
TV is 6:5 and the shopkeeper sold the TV at the
loss of Rs.x and the shopkeeper given the
discount of Rs.6x. Find the discount
percentage?
a) 10%
b) 15%
c) 20%
d) 18%
e) Cannot be determined
Directions (61-66): Study the following
information carefully and answer the questions
given below.
The given line graph shows the number of items
sold by Flipkart and Amazon on five different
days in a week.
1800
21001500
2280
12601500
2400 1920
1620
2520
0
500
1000
1500
2000
2500
3000
Flipkart Amazon
61) What is the average number of items sold by
Flipkart on all the days together?
a) 1788
b) 1790
c) 1784
d) 1792
e) 1794
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62) The number of items sold by Amazon on
Tuesday and Wednesday together is what
percent of the number of items sold by Flipkart
on Tuesday and Wednesday together?
a) 110%
b) 115%
c) 120%
d) 125%
e) 130%
63) What is the difference between the number
of items sold by Flipkart on Tuesday, Thursday
and Friday together and the number of items
sold by Amazon on Tuesday and Friday
together?
a) 700
b) 710
c) 720
d) 740
e) 750
64) The number of item sold by Flipkart on
Wednesday and Friday together is what percent
of the total number of items sold by Amazon on
Monday and Tuesday together?
a) 70.76%
b) 71.85%
c) 73.24%
d) 78.25%
e) 68.89%
65) What is the difference between the average
number of items sold by Flipkart on Monday and
Tuesday together and the average number of
items sold by Amazon on Tuesday and
Wednesday together?
a) 216
b) 210
c) 198
d) 204
e) 192
66) What is the difference between the number
of items sold by Flipkart and Amazon together
on Monday and Wednesday together and the
number of items sold by Flipkart and Amazon
together on Tuesday and Thursday?
a) 1660
b) 1670
c) 1680
d) 1640
e) 1690
67) Chaitra invested Rs.8400 at (x + 5)% Simple
interest scheme for 3 years and Nila invested
Rs.8000 at x% compound interest scheme for 2
years. If the difference between the interest
received by Chaitra and Nila is Rs.2460, then
find the value of x?
a) 12%
b) 15%
c) 18%
d) 20%
e) 10%
68) Pipe A and B alone fill the tank in 30 hours
and 40 hours respectively and pipe C empties
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the tank in 24 hours. In how many hours pipe A,
B and C together can fill the tank?
a) 40
b) 50
c) 30
d) 60
e) 20
69) Ratio of the ages of Kamal and Surya 8
years ago is 5:4. After 6 years, the average age
of Kamal and Surya is 59 years. If the average
of the present age of Surya and Karthy is 45
years, then find the age of Karthy after 3 years?
a) 45 years
b) 43 years
c) 42 years
d) 48 years
e) 40 years
70) A boat covers x km downstream and covers
(x - 63) km upstream in 9 hours. If the speed of
stream is 7 kmph, then find the speed of boat in
still water?
a) 10 kmph
b) 12 kmph
c) 14 kmph
d) 17 kmph
e) Cannot be determined
71) The average marks of 36 students in the
class is 56. If the teacher later found that, the
mark of two students is read as 54 and 42
instead of 48 and 45, find the actual average
mark of the class?
a) 52.87
b) 55.91
c) 57.86
d) 48.13
e) 50.67
72) The marked price of the mobile is Rs.7200.
If the shopkeeper gives two successive
discounts of x% and 10% respectively while he
gets the profit of x% and the selling price of the
mobile is Rs.5184, then find the cost price of the
mobile?
a) Rs.4320
b) Rs.4440
c) Rs.4280
d) Rs.4480
e) None of these
73) Ratio of the number of male and female
population in village A is 5:4 and the number of
male population increased by 15% and the
number of female population increased by 4800,
then now the ratio of the number of male to
female becomes 23:28. Find the initial number
of male population in A?
a) 6500
b) 7000
c) 7500
d) 8000
e) 9000
74) 320 m long train A crosses a platform at the
speed of 80 kmph in 27 seconds. If another train
B crosses the same platform at the speed of 48
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kmph in 51 seconds, then find the length of train
B?
a) 400 m
b) 450 m
c) 300 m
d) 350 m
e) 200 m
75) Car A start from Kashmir with the speed of
90 kmph at 6 am and car B starts from Srinagar
at the speed of 105 kmph at 6.30 am. If the both
cars meet each other in 11.30 am, then find the
distance between Kashmir and Srinagar?
a) 1000 km
b) 990 km
c) 1110 km
d) 1020 km
e) 1080 km
Directions (76-80): Study the following
information carefully and answer the questions
given below.
There are 5400 products in two shops A and B
and three different products in each shop-Hair
oil, Body Lotion and perfume. 18.75% of the
total number of products in A is Perfume and 2/7
of the total number of products in B is Body
lotion. Average of total number of perfume in A
and the number of Body lotion in B is 630. Half
of the products in A is Hair oil and the ratio of
the total number of products in B to the number
of Perfume in B is 21:4.
76) Total number of Hair oil in A is what percent
of the number of body lotion in B?
a) 180%
b) 200%
c) 210%
d) 170%
e) 220%
77) What is the ratio of the number of Perfume
in B to the total number of Body lotion in A?
a) 4:5
b) 3:5
c) 4:9
d) 1:2
e) None of these
78) Find the total number of Body lotion in A and
B?
a) 1580
b) 1620
c) 1630
d) 1600
e) 1570
79) The number of products in C is thrice the
number of body lotion in B and the number of
body lotion in C is 5/4 of the number of perfume
in B. What is the difference between the number
of hair oil and perfume in C and A?
a) 420
b) 450
c) 480
d) 360
e) 390
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80) The ratio of the number of sold to unsold
hair oil in A and B is 5:3 and 7:4 respectively.
Find the difference between the number of sold
and unsold hair oil in A and B together?
a) 720
b) 750
c) 780
d) 700
e) 800
Answers with Explanation
Directions (1-5):
1) Answer: E
2) Answer: C
3) Answer: A
4) Answer: C
5) Answer: C
We have,
• E sits third from the end of the row.
• Two persons are sitting between E and
the one whose age is 18.
• A is the youngest person and sits two
places away from the one whose age is
18.
From the above condition, there are two
possibilities.
Again we have,
• B is 26 years old and sits third to the left
of F.
• D sits second to the right of F who is not
an immediate neighbor of G.
From the above condition, case2 gets
eliminated.
Again we have,
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• F is the eldest person.
• G is elder than E but younger than D.
From the above condition, case1 shows the final
arrangement
6) Answer: D
I). N < V ( N = L >F ≥ V) -> False
II). L > R (L > F ≥ V = T ≤ R) -> False
None Follows
7) Answer: A
I). W > Y (Y = C < W) -> True
II). H > G (H = C < G) -> False
Only Conclusion I follows
8) Answer: E
I). A ≥ D (A = B ≥ C =D) -> True
II). C > V (C = D > T= V ) -> True
Both Conclusion I and II follows.
9) Answer: E
Both I and II follow
10) Answer: C
Either I or II follows
Directions (11-15):
11) Answer: B
12) Answer: A
13) Answer: D
14) Answer: E
15) Answer: E
We have,
• T lives two floors above S who lives east
of W.
• The number of floors above T is the same
as the number of floors below U.
• Neither T nor U lives in the sametype of
flat.
From the above condition, there are four
possibilities.
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Again we have,
• R lives two floors above the one who lives
immediately below P.
• R and P are living in the sametype of flat.
Again we have,
• T lives neither north nor north-east flat of
V.
• The direction of U with respect to W is the
same as the direction of P with respect to
Q.
From the above condition, case1, case3, and
case4 get eliminated. Case2 shows the final
arrangement.
Directions (16-20):
16) Answer: A
17) Answer: C
18) Answer: B
19) Answer: A
20) Answer: D
Directions (21-25):
21) Answer: E
22) Answer: C
23) Answer: D
24) Answer: C
25) Answer: D
• U sits eighth to the left of V.
• U sits exactly between X and S.
• Not more than two persons are sitting
between X and U.
• X sits fifth from the left end of the row.
• T sits second to the right of S.
• T doesn’t sit adjacent to U.
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• Four persons are sitting between T
and W, who sits third to the left of Y,
who sits third from the end.
• More than four persons are sitting
between U and Z, who sits second
from one of the extreme ends of the
row but not an immediate neighbor of
Y.
• So, the final arrangement becomes:
Directions (26-30):
26) Answer: B
27) Answer: D
28) Answer: E
29) Answer: B
30) Answer: B
We have,
• U sits third to the right V.
• Two-person sits between U and T who
face opposite to the center.
From the above condition, there are two
possibilities.
Again we have,
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• Neither V nor T is an immediate neighbor
of P.
• W sits second to the left of P who faces
the same direction as T.
• Q sits immediate left of W.
Again we have,
• S sits third to the right of X who sits
immediate right of R.
• S and X faces the same direction.
• Not more than two persons are facing the
same directions sit together.
• R and T, not immediate neighbors.
From the above condition, case1 gets
eliminated. Case2 shows the final arrangement.
Directions (31-35):
31) Answer: C
32) Answer: D
33) Answer: E
34) Answer: B
35) Answer: D
Final Arrangement
We have,
• Box S is kept fourth from the bottom.
• Box adjacent to S has kept four places
below T, which is kept just below the box
W.
From the above condition, there are two
possibilities.
Again we have,
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• The number of boxes above W is one
more than the number of boxes below P.
• Two boxes are kept between P and Q.
• Only three boxes are kept between Q and
R.
From the above condition, Case1 gets
eliminated. Case2 has one more possibility.
Again we have,
• Box Y has kept three boxes above box X.
• The number of boxes between Y and W
is the same as the number of boxes
between X and U.
From the above condition, case2 gets
eliminated. Case2a shows the final
arrangement.
36) Answer: D
DE – only one pair
Directions (37-39):
37) Answer: C
38) Answer: E
39) Answer: A
40) Answer: C
The number to be arranged- 5 6 8 7 2 6 4 4 9 3
After the arrangement - 9 8 7 6 6 5 4 4 3 2
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41) Answer: C
12 * 1.5 = 18
18 * 2 = 36
36 * 2.5 = 90
90 * 3 = 270
270 * 3.5 = 945
42) Answer: A
924 – 73 = 581
581 – 63 = 365
365 – 53 = 240
240 – 43 = 176
176 – 33 = 149
43) Answer: B
2 * 2 + 5 = 9
9 * 2 + 5 = 23
23 * 2 + 5 = 51
51 * 2 + 5 = 107
107 * 2 + 5 = 219
44) Answer: A
32 + 7 = 39
39 + 14 = 53
53 + 21 = 74
74 + 28 = 102
102 + 35 = 137
45) Answer: D
18 + 4 = 22
22 + 42 = 38
38 + 4 = 42
42 + 42 = 58
58 + 4 = 62
46) Answer: B
Number of CSE boys in A = 240 * 25/100 = 60
Number of CSE boys in B = 150 * 20/100 = 30
Number of CSE boys in C = 300 * 40/100 = 120
Number of CSE boys in D = 180 * 30/100 = 54
Required average = (60 + 30 + 120 + 54)/4
= 66
47) Answer: A
Required ratio = (900 – 240):(600 – 180)
= 660:420
= 11:7
48) Answer: C
Number of students in E = 120/100 * (750 – 150)
= 720
Number of CSE students in E = 720 * 5/9 = 400
49) Answer: A
Number of ECE students in C = 1200 – 300 =
900
Number of CSE girls in A = 240 * 75/100 = 180
Number of CSE girls in D = 180 * 70/100 = 126
Required % = 900/(180 + 126) * 100
= 294.11%
50) Answer: B
Required average = (240 + 150 + 300 + 180)/4
= 217.5
51) Answer: A
Number of students in E = 180/100 * 750 = 1350
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Number of ECE students in E = 1350 – 856 =
494
Number of ECE students in D = 600 – 180 = 420
Required Difference = 494 – 420 = 74
52) Answer: E
x2 = 16
x = 4, -4
y2 – 8y + 16 = 0
y2 – 4y – 4y + 16 = 0
y(y – 4) – 4(y – 4) = 0
y = 4, 4
x≤y
53) Answer: C
3x2 – 18x + 24 = 0
3x2 – 12x – 6x + 24 = 0
3x(x – 4) – 6(x – 4) = 0
x = 4, 2
y2 – 9y + 18 = 0
y2 – 6y – 3y + 18 = 0
y(y – 6) – 3(y – 6) = 0
y = 6, 3
Relationship between x and y cannot be
established.
54) Answer: B
x2 – 27x + 180 = 0
x2 – 12x – 15x + 180 = 0
x(x – 12) – 15(x – 12) = 0
x = 12, 15
y2 – 23y + 132 = 0
y2 – 12y – 11y + 132 = 0
y(y – 12) – 11(y – 12) = 0
y = 12, 11
x≥y
55) Answer: D
x2 – 32x + 192 = 0
x2 – 24x – 8x + 192 = 0
x(x – 24) – 8(x – 24) = 0
x = 24, 8
y2 – 50y + 625 = 0
y2 – 25y – 25y + 625 = 0
y(y – 25) – 25(y – 25) = 0
y = 25, 25
x<y
56) Answer: A
x3 = -343
x = -7
y2 + 17y + 72 = 0
y2 + 8y + 9y + 72 = 0
y(y + 8) + 9(y + 8) = 0
y = -8, -9
x>y
57) Answer: A
Investment of A and B = 8:5
Investment of B and C = 100:120 = 5:6
Profit ratio of A, B and C = 8x * 8:5x * 16:6x * 12
= 8:10:9
Total profit of the business = 27/(19/2) * 3420 =
Rs.9720
58) Answer: B
Side of square A = (1024)(1/2) = 32 cm
Side of square B = 88/4 = 22 cm
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Length of rectangle = 32 + 4 = 36 cm
Perimeter of rectangle = 2 * (36 + 22) = 116 cm
59) Answer: A
Required probability =(4C2 + 3C1)/12C3
= (6 + 3)/(2 * 11 * 10)
= 9/220
60) Answer: C
MP = 6a
CP = 5a
6a – 6x = 5a - x
a = 5x
MP = 6 * 5x =30x
Required % = 6x/30x * 100 = 20%
61) Answer: A
Required Average = (1800 + 2100 + 1500 +
2280 + 1260)/5
= 1788
62) Answer: C
Required % = (2400 + 1920)/(2100 + 1500) *
100
= 120%
63) Answer: C
Required Difference = (2100 + 2280 + 1260) –
(2400 + 2520)
= 720
64) Answer: A
Required % = (1500 + 1260)/(1500 + 2400) *
100
= 70.76%
65) Answer: B
Difference = (2400 + 1920)/2 - (1800 + 2100)/2
= 210
66) Answer: C
Required difference = (2100 + 2400 + 2280 +
1620) - (1800 + 1500 + 1500 + 1920)
= 1680
67) Answer: B
Interest received by Chaitra = 8400 * (x + 5) *
3/100
= 252x + 1260
Interest received by Nila = 8000 * (1 + x/100)2 –
8000
252x + 1260 - 8000 * (1 + x/100)2 + 8000 = 2460
252x - 8000 * (1 + x/100)2 = -6800
x = 15%
68) Answer: D
A + B + C = 1/30 + 1/40 – 1/24
= 4 + 3 – 5/120
= 1/60
69) Answer: A
Kamal + Surya = 59 * 2 – 12 = 106
9x + 16 = 106
x = 10
Present age of Surya = 4 * 10 + 8 = 48 years
Karthy = 45 * 2 – 48 = 42
Required age = 42 + 3 = 45 years
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70) Answer: E
x/(y + 7) + (x -63)/(y – 7) = 9
We cannot find the answer.
71) Answer: B
Required average = 56 – ((54 + 42) – (48 +
45))/36
= 55.91
72) Answer: A
7200 * (100 – x)/100 * 90/100 = 5184
100 – x = 80
x = 20%
CP of mobile = 5184 * 100/120 = Rs.4320
73) Answer: D
(5x * 115/100)/(4x + 4800) = 23/28
92x + 110400 = 161x
x = 1600
Male population in A = 5 * 1600 = 8000
74) Answer: A
320 + Length of platform = 80 * 5/18 * 27
Length of platform = 280 m
Length of train B + 280 = 48 * 5/18 * 51
Length of train B = 400 m
75) Answer: D
Car A covers 45 km in 30 minutes.
Total distance = D
Relative distance = D - 45
D – 45/(90 + 105) = 5
D = 975 + 45
D = 1020 km
Directions (76-80):
Total number of products = 5400
Total number of products in A = x
Total number of products in B = 7y
Number of perfume in A = x * 18.75/100 =
18.75x/100
Number of body lotion in B = 2/7 * 7y = 2y
2y + 18.75x/100 = 630 * 2 = 1260 ----(1)
x + 7y = 5400 ----(2)
From (1) and (2)
x = 2880
y = 360
Number of perfume in A = 18.75 * 2880/100 =
540
Number of body lotion in B = 2 * 360 = 720
Total number of products in B = 7 * 360 = 2520
Number of hair oil in A = 2880/2 = 1440
Number of Body lotion in A = 2880 – 1440 – 540
= 900
Number of perfume in B = 4/21 * 2520 = 480
Number of hair oil in B = 2520 – 480 – 720 =
1320
76) Answer: B
Required % = 1440/720 * 100 = 200%
77) Answer: E
Required ratio = 480:900
= 8:15
78) Answer: B
Required total = 900 + 720 = 1620
79) Answer: A
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Number of products in C = 3 * 720 = 2160
Number of body lotion in C = 5/4 * 480 = 600
Number of hair oil and perfume in C = 2160 –
600 = 1560
Number of hair oil and perfume in A = 1440 +
540 = 1980
Difference = 1980 – 1560 = 420
80) Answer: A
Number of sold hair oil in A = 5/8 * 1440 = 900
Number of unsold hair oil in A = 3/8 * 1440 =
540
Number of sold hair oil in B = 7/11 * 1320 = 840
Number of unsold hair oil in B = 4/11 * 1320 =
480
Difference = (900 + 840) – (540 + 480)
= 720
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