IBPS RRB PO Prelims 2020 Model Question Paper – Set 10
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IBPS RRB PO Model Paper
REASONING ABILITY
1. If all the letters of the word REFRESHING are
arranged in the alphabetical order starting from the
left end then how many consonants appear at the odd
numbered position (from the left end) after the
rearrangement?
a) Three
b) Two
c) Four
d) One
e) None of these
2. Which of the following letter will be 3rd
letter from
the left end if the letters at odd positions are replaced
by succeeding letter in the word “COMPLICATED”
such that from left end “C” is at odd position and
“O” is at even position and so on?
a) P
b) C
c) O
d) N
e) None of these
3. How many pairs of letters are there in the word
„ADJUSTOR' which has as many letters
between them in the word as in the alphabetical
series?
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a) Two
b) Three
c) One
d) Four
e) None of these
Directions (4 – 6): Answer the questions based on the
information given below:
Point D is 3m east of point C, which is 5m north of B.
Point F is 6m east of point E, which is 9m south of point
D. Point G is 6m north of point F and point A is 4m
west of point B.
4. What is the shortest distance between point A and
the point which is 2m south of point G?
a) 12m
b) 15m
c) 13m
d) 14m
e) None of these
5. What is the direction of point which is 7m south of
point D with respect to G?
a) East
b) North east
c) South east
d) South west
e) None of these
6. What is the total distance between point A and G?
a) 33m
b) 32m
c) 30m
d) 35m
e) 37m
Directions (7 – 8): Answer the questions based on the
information given below:
Six players P, Q, R, S, T and U score different runs in a
match. Q scored more than T and S. Only R scored less
than S. U scored more than Q. Only three players scored
less than P.
7. If U scored 43 runs and T scored 36 runs, then
what would be the probable runs scored by P?
a) 45
b) 41
c) 34
d) 30
e) None of these.
8. Who scored the 3rd
lowest runs?
a) Q
b) U
c) None of these
d) T
e) Can‟t be determined
9. Rahul is 6 ranks ahead of Yogesh in a class of 47
students. If Yogesh‟s rank is thirteenth from the last,
what is Rahul‟s rank from the start?
a) 27th
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b) 23th
c) 28th
d) 29th
e) None of these
10. When letters of the word FREQUENCY are
arranged in reverse alphabetical order from left to
right, then how many vowels are there between Y
and the last vowel from the right end in the word
formed?
a) 4
b) 3
c) 5
d) 2
e) None of the above
Directions (11 – 12): Answer the questions based on
the information given below.
There are seven members, A, B, C, D, E, F and G in a
family. There is no single parent in the family.
D‟s father‟s only sister‟s husband‟s father in law is B. C
is the only daughter in law of F. A is the only brother in
law of G, who doesn‟t have any siblings. Gender of E
and D is not same.
11. How is E related to C?
a) Sister
b) Brother
c) Sister in law
d) Cannot be determined
e) None of these
12. Find the odd one out?
a) B
b) E
c) G
d) A
e) D
Directions (13 – 17): Answer the questions based on
the information given below:
Eight persons P, Q, R, S, T, U, V and W are sitting
around the circular table. Equal number of persons is
facing towards and away from the centre. Not more than
two adjacent persons face same direction. P sits third to
the left of U, who faces away from the centre. R sits
opposite to W, who sits to the immediate right of V. R is
neither adjacent to P nor U. P and W face in same
direction. T sits to the immediate right of Q, who faces
away from the centre. R and S face in same direction. S
does not face away from the centre.
13. Who among the following sits second to the left of
S?
a) T
b) Q
c) P
d) V
e) None of these
14. Who sits opposite to S?
a) P
b) Q
c) R
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d) T
e) None of these
15. Who sits third to the right of Q?
a) P
b) V
c) W
d) S
e) None of these
16. Find the odd one out.
a) T
b) V
c) P
d) R
e) S
17. Who sits to the immediate left of P?
a) T
b) S
c) R
d) Q
e) None of these
18. Find the odd from the following
a) WZ
b) OL
c) HK
d) BE
e) SV
19. If a meaningful word can be formed by using 4th,
6th, 8th and 10th letters of the word
'FIREBRIGADE' then what is the second letter of
the newly formed word? Mark X as your answer if
more than one word is formed. Mark Z if no
meaningful word is formed.
a) X
b) R
c) E
d) Z
e) G
20. P is the brother of Q. T is the sister of Q. T is the
daughter of W. W is married to U. U is the son of V.
U has only one son. V is married to R. T is the sister
of S. S is married to X. How is X related to P?
a) Brother
b) Father
c) Son-in-law
d) Brother-in-law
e) None of these
Directions (21 – 25): In each question below, some
statements are given followed by some conclusions.
You have to take the given statements to be true even
if they seem to be at variance with commonly known
facts. Read all the conclusions and then decide which
of the given conclusions logically follows/follow from
the given statements, disregarding commonly known
facts.
21. Statements:
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No bore is joy.
Only a few books are bore.
Only a few joy is hut.
Conclusions:
I. All bore can be hut.
II. All hut is book is a possibility.
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.
22. Statements:
No bore is joy.
Only a few books are bore.
Only a few joy is hut.
Conclusions:
I. All joy will not be hut is a possibility.
II. All book can be bore.
III. All hut cannot be book.
a) Only I follows
b) Only I and II follows
c) Only III follows
d) Either I or III follows
e) None of these follows
23. Statements:
No shampoo is a soap.
All goods are soap.
Only a few fresh are soap.
Conclusions:
I. All fresh are shampoo.
II. All goods are fresh.
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.
24. Statements:
No shampoo is a soap.
All goods are soap.
Only a few fresh are soap.
Conclusions:
I. All goods being fresh is a possibility.
II. Some fresh can never be goods.
III. All shampoo are goods.
a) Only I follows
b) Only I and II follows
c) Only III follows
d) Either I or III follows
e) All of these follows
25. Statements:
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Only a few huts are famous.
All hammers are glides.
All glides are famous.
Conclusions:
I. All hammers are not famous.
II. All glides are huts.
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.
Directions (26 – 30): Answer the questions based on
the information given below.
A certain number of persons are sitting in straight row
facing towards the south direction. Amit sits second to
the right of Aditya. Only two persons sit between Aditya
and Golu. Only six persons sit between Golu and Harsh.
Jitendra sits third to the right of Kamal. Abhishek sits
fifth to the right of Golu. Not more than two persons sit
between Abhishek and Harsh.Jitendra sits fifth to left of
Aditya. Only three persons sit between Jitendra and
Manoj. Not less than nine persons sit between Abhishek
and Manoj.
26. Who sits second to the left of Harsh?
a) Golu
b) Aditya
c) Jitendra
d) Kamal
e) Abhishek
27. If there are only 20 persons sitting in the row,
then who among the following sits fifth from the
right end of the row (considering all facing north)?
a) Aditya
b) Jitendra
c) Manoj
d) Golu
e) None of these
28. If another person Jai sits immediate left of Aditya
then who will be third to the right of Jai?
a) Amit
b) Golu
c) Manoj
d) Abhishek
e) None of these
29. Who among the following sits between Golu and
Harsh?
a) Aditya
b) Jitendra
c) Manoj
d) Abhishek
e) None of these
30. If no one sits to the right of Harsh and no one sits
to the left of Manoj, then how many persons are
sitting in the row?
a) 21
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b) 23
c) 19
d) 15
e) 20
Directions (31 –35): Answer the questions based on
the information given below:
There are eight exams held in different months among
February, March, April, June, July, September, October
and November.
Exam of A is held immediately before G. Neither D‟s
exam nor G‟s exam is held in a month with 31 days.
Exam of F is held three months after G. D‟s exam is
held after F‟s exam. B‟s exam is immediately before C‟s
exam. C‟s exam is not held in October. E‟s exam is held
after H‟s exam. Exam of H is not held in February.
31. How many exams are held before E‟s exam?
a) Five
b) Three
c) Six
d) Four
e) None of these
32. H‟s exam is held in which month?
a) April
b) October
c) May
d) July
e) None of these
33. There is a gap of ___ months between the exam of
C and E.
a) Five
b) Six
c) Four
d) Three
e) None of these
34. Which exam is held immediately before F?
a) G
b) H
c) E
d) A
e) None of these
35. There is gap of four months between the exams of
____ and ____.
a) B, G
b) F, C
c) G, D
d) A, E
e) None of these
Directions (36 – 40): Answer the questions based on
the information given below.
Ten persons E, F, G, H, I, J, K, L, M and N are sitting in
a straight horizontal row facing towards the north
direction but not in the same order.
E sits at the one end of the row.
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Only four persons sit between E and L.
F sits second to the left of L.
J is an immediate neighbor of F. Only three persons sit
between N and K such that K is neither neighbor of F
nor L.
I and G are sitting adjacent to each other and G sits 2nd
to left of H, who sits at the one end of the line.
36. Who sits second from the right end of the row?
a) G
b) L
c) I
d) K
e) None of these
37. Who sits second to the right of M?
a) N
b) F
c) J
d) E
e) K
38. Who sits immediate left of I?
a) N
b) F
c) L
d) H
e) None of these
39. How many persons sit between L and H?
a) Two
b) Three
c) Four
d) One
e) None of these
40. Who among the following are the neighbors of N?
a) F and J
b) E and M
c) K and H
d) I and G
e) F and L
QUANTITATIVE APTITUDE
Directions (41 – 46): In the following questions two
equations numbered I and II are given. You have to
solve both the equations and choose the correct
option.
41. I. x2
– 36x + 323 = 0
II. y2
– 11y – 102 = 0
a) x > y
b) x < y
c) x = y or the relationship cannot be established
d) x ≥ y
e) x ≤ y
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42. I. x2
– 26x + 160 = 0
II. y2
– 23y + 120 = 0
a) x > y
b) x < y
c) x = y or the relationship cannot be established
d) x ≥ y
e) x ≤ y
43. I. x2
+ 27x + 162 = 0
II. y2
+ 16y + 63 = 0
a) x > y
b) x < y
c) x = y or the relationship cannot be established
d) x ≥ y
e) x ≤ y
44. I. x2
– 33x + 270 = 0
II. y2
– 22y + 117 = 0
a) x > y
b) x < y
c) x = y or the relationship cannot be established
d) x ≥ y
e) x ≤ y
45. I. 3x2 – 31x – 104 = 0
II. 2y2 – 29y – 48 = 0
a) x < y
b) x > y
c) x = y OR the relationship cannot be determined
d) x ≥ y
e) x ≤ y
46. I. 8x2 - 15x + 7 = 0
II. y2 - 7y + 6 = 0
a) x > y
b) x < y
c) x ≥ y
d) x ≤ y
e) x = y or relation cannot be established
Directions (47 – 51): The question consists of two
statements numbered “I and II” given below it. You
have to decide whether the data provided in the
statements are sufficient to answer the question.
47. The sum of the distances covered by two bikes i.e.
bike1 and bike2 is 250 km. Speed of bike2 is how
much percent more/less than that of bike1?
Statement I: The ratio of the time taken by bike1 and
bike2 to cover their respective distances is 3:5.
Statement II: Bike1 covers 10 km less than bike2.
a) The data in statement I alone are sufficient to answer
the question, while the data in statement II alone are not
sufficient to answer the question.
b) The data in statement II alone are sufficient to answer
the question, while the data in statement I alone are not
sufficient to answer the question.
c) The data either in statement I alone or in statement II
alone are sufficient to answer the question.
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d) The data given in both statements I and II together are
not sufficient to answer the question.
e) The data in both statements I and II together are
necessary to answer the question.
48. Rohan picks a two-digit number randomly from
10 to 99. Find the number.
Statement I: When 20 is added to the number, it
becomes 180% of itself.
Statement II: The two-digit number is a multiple of 5
and the unit digit of a two-digit number is 3 more than
it‟s ten‟s digit.
a) The data in statement I alone are sufficient to answer
the question, while the data in statement II alone are not
sufficient to answer the question.
b) The data in statement II alone are sufficient to answer
the question, while the data in statement I alone are not
sufficient to answer the question.
c) The data either in statement I alone or in statement II
alone are sufficient to answer the question.
d) The data given in both statements I and II together are
not sufficient to answer the question.
e) The data in both statements I and II together are
necessary to answer the question.
49. The average number of pages in three books is
300. Number of pages in book 2 is what percentage of
number of pages in book 1?
Statement I: The number of pages in book 3 is „p‟ more
than number of pages in book 1 and number of pages in
book 2 is also „p‟ more than number of pages in book 3.
Statement II: The total number of pages in book 1 is
100 less than that in book 2.
a) The data in statement I alone are sufficient to answer
the question, while the data in statement II alone are not
sufficient to answer the question.
b) The data in statement II alone are sufficient to answer
the question, while the data in statement I alone are not
sufficient to answer the question.
c) The data either in statement I alone or in statement II
alone are sufficient to answer the question.
d) The data given in both statements I and II together are
not sufficient to answer the question.
e) The data in both statements I and II together are
necessary to answer the question.
50. The income of A is Rs. 8000 less than that of B.
Find the income of A.
Statement I: Both A and B save 1/4th
of their respective
incomes.
Statement II: B saves Rs. 2000 more than A.
a) The data in statement I alone are sufficient to answer
the question, while the data in statement II alone are not
sufficient to answer the question.
b) The data in statement II alone are sufficient to answer
the question, while the data in statement I alone are not
sufficient to answer the question.
c) The data either in statement I alone or in statement II
alone are sufficient to answer the question.
d) The data given in both statements I and II together are
not sufficient to answer the question.
e) The data in both statements I and II together are
necessary to answer the question.
51. The savings of A is Rs. 12800. Find the income of
B.
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Statement I: A and B, each spends 20% of their income
on food and 60% of remaining on other items.
Statement II: The expenditure of B on food is 75% of
the savings of A.
a) The data in statement I alone are sufficient to answer
the question, while the data in statement II alone are not
sufficient to answer the question.
b) The data in statement II alone are sufficient to answer
the question, while the data in statement I alone are not
sufficient to answer the question.
c) The data either in statement I alone or in statement II
alone are sufficient to answer the question.
d) The data given in both statements I and II together are
not sufficient to answer the question.
e) The data in both statements I and II together are
necessary to answer the question.
Directions (52 – 57): What will come in place of the
question mark (?) in the following series?
52. 5, 7, 11, ?, 35, 67
a) 21
b) 19
c) 29
d) 31
e) None of these
53. 4, 5, ?, 157, 500, 1229
a) 12
b) 18
c) 26
d) 32
e) None of these
54. 11, 42, 93, 164, ?, 366
a) 245
b) 215
c) 305
d) 325
e) None of these
55. 2520, 504, 126, 42, 21, ?
a) 21
b) 9
c) 7
d) 3
e) None of these
56. 11, 22, 44, ?, 121, 176
a) 66
b) 55
c) 77
d) 99
e) None of these
57. 21, 22, 26, 42, ?, 362
a) 86
b) 134
c) 196
d) 106
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e) 154
58. In a mixture of 171 litres, the ratio of the milk
and water is 2:1, respectively. If „x‟ litres of water is
added in the mixture, then the ratio of milk to water
becomes 3:2. Find the value of „x‟.
a) 19 litres
b) 28 litres
c) 32 litres
d) 24 litres
e) None of these
59. A and B alone can do a piece of work in 20 days
and 15 days, respectively. The efficiency of C is 5/7th
of the total efficiency of A and B together. In how
many days, A, B and C together can do the whole
work.
a) 3 days
b) 6 days
c) 8 days
d) 5 days
e) None of these
60. Anirudh and Siddharth started a business with
the capital of Rs. 15000 and 13500, respectively.
After 9 months, they withdraw 1/3 of their capital.
Find the share profit of Anirudh out of the total
profit of Rs. 22800 at the end of the year.
a) Rs. 15000
b) Rs. 13500
c) Rs. 12000
d) Rs. 10000
e) None of these
61. The present age of Hitesh is 8 years more than
the present age of Rajesh. After 4 years, the ratio of
the ages of Hitesh to Rajesh will be 9:7. Find the
average of the present ages of Hitesh and Rajesh.
a) 30 years
b) 26 years
c) 24 years
d) 28 years
e) None of these
62. An article having cost price of Rs. 3000 is marked
up by 40% above the cost price and then Rs. x
discount is offered on it. If the article had been
marked up by Rs. x and sold at same price, then
discount offered will be Rs. 60. Find the discount
offered in the 1st case.
a) Rs. 840
b) Rs. 910
c) Rs. 450
d) Rs. 720
e) Rs. 630
63. Speed of a boat on still water is 40% less than the
speed of boat in downstream. If the boat travels 30
km upstream and the same distance in downstream
together in 3 hours then find the speed of boat in still
water.
a) 32 km/h
b) 24 km/h
c) 36 km/h
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d) 28 km/h
e) None of these
64. Compound interest on a certain sum of money for
2 years is Rs. 2580 while the simple interest on the
same sum for same time period is Rs. 2400. Find the
rate of interest.
a) 12%
b) 15%
c) 20%
d) 25%
e) None of these
65. Average run scored by Duminy in 18 matches is
62.5. If he scored 91 in the next match then find the
increase in his average.
a) 0.5
b) 1.2
c) 2.5
d) 1.5
e) None of these
66. Gayle sold his motorbike at a profit of 20% to
Bravo who spent Rs. 800 for repairing it and then
sold it to Obama at profit of Rs. 1550 for Rs. 7750.
Find the cost price of the motorbike for Gayle.
a) Rs. 4500
b) Rs. 3500
c) Rs. 4800
d) Rs. 5400
e) None of these
67. A box contains red, blue and green balls in it. The
probability of getting a red ball is 1/3, while the
probability of getting a blue ball is 1/4. If total
number of balls in the bag is 60, then find the
probability of getting a green ball.
a) 7/12
b) 1/2
c) 5/12
d) 3/4
e) None of these
68. A pipe can fill a tank in 2 hours but due to a leak
it takes 3 hours to completely fill up the tank. If the
pipe is closed, the leak will empty 33 litres in 2 hours,
what is the capacity of the tank?
a) 90 litres
b) 99 litres
c) 108 litres
d) 80 litres
e) 120 litres
Directions (69 – 71): Answer the questions based on
the information given below.
The bar graph given below shows the total number of
people living in six different floors of an apartment, and
the number of males living in each of the given floors.
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69. Number of males living in Third floor are how
much percent more than number of males living in
First floor?
a) 25%
b) 15%
c) 20%
d) 35%
e) None of these
70. What is the average number of females living in
First floor and Fifth floor together?
a) 331
b) 341
c) 361
d) 351
e) None of these
71. Out of the total number of females living in sixth
floor, the ratio of married to unmarried female is
9:8. Find the number of unmarried females in sixth
floor.
a) 220
b) 175
c) 225
d) 200
e) None of these
Directions (72 – 76): Answer the questions based on
the information given below.
The given table shows the total number of students
enrolled forBanking exams and SSC exams together,
and the ratio of number of students enrolled for SSC
exams to Banking exams in five different institutes.
Institutes Total number of
students
SSC exams:
Banking exams
A 2500 12:13
B 4000 9:7
C 2000 3:5
D 3500 5:9
E 5000 19:21
72. Find the ratio of the number of students enrolled
in institute B for banking exams to the number of
students enrolled in institute D for SSC exams.
a) 4:3
b) 9:4
c) 9:5
d) 7:5
e) 8:3
73. Find the average number of students enrolled in
institute C, D and E.
a) 3500
524 566
850
680 790 750
248 242 310 284
364 325
First Second Third Fourth Fifth Sixth
Total Males
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b) 3000
c) 2500
d) 4500
e) None of these
74. The number of students enrolled for banking
exams in institute D is how much percent more/less
than the number of number of students enrolled for
SSC exams in institute A?
a) 66.67%
b) 60%
c) 87.5%
d) 75%
e) 90%
75. In institute C, 45% of total students enrolled are
females. If the ratio of the number of females
enrolled in SSC and banking exams are in the ratio
7:8, respectively, then find the number of males
enrolled for banking exams in institute C.
a) 770
b) 690
c) 840
d) 910
e) 800
76. Find the difference between the number of
students enrolled for banking exams in institute E
and the number of students enrolled for SSC exams
in the same institute.
a) 150
b) 320
c) 175
d) 300
e) 250
Directions (77 – 80): Answer the questions based on
the information given below.
The bar graph given below shows the total number of
bags (hand bags + school bags) manufactured by six
different companies, and percentage of hand bags
manufactured by each of them.
77. What is the number of school bags manufactured
by Killer?
a) 360
b) 270
c) 450
d) 480
e) None of these
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78. What is the average number of school bags
manufactured by Puma and Nike together?
a) 462
b) 472
c) 452
d) 482
e) None of these
79. What is the ratio of number of hand bags
manufactured by Safari to the same by Skybags?
a) 9:11
b) 5:4
c) 5:6
d) 8:11
e) None of these
80. Number of hand bags manufactured by Quechua
is how much percent more/less than the same by
Puma?
a) 37.5%
b) 15%
c) 25%
d) 12.5%
e) 10%
ANSWERS WITH EXPLANATION:
REASONING ABILITY
1. Answer: C)
Given word,
REFRESHING
After replacement, we get E E F G H I N R R S
So, four consonants appear at the odd numbered position
(from the left end) after the rearrangement.
2. Answer: D)
If we replace the odd positioned letters with their
respective succeeding letter then we would get the
following word “DONPMIDAUEE”.
So, the letter, which is 3rd
from the left end is „N‟.
3. Answer: A)
ST and RT are the pairs which has as many letters
between them in the given word as in the alphabetical
series.
(4 – 6): Common Explanation:
4. Answer: C)
Shortest distance between point A and the point which is
2m south of point G
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= (4 + 3 + 6) = 13m
5. Answer: D)
Point which is 7m south of point D is south west of
point G.
6. Answer: A)
Total distance = 4 + 5 + 3 + 9 + 6 + 6 = 33m
(7 – 8): Common Explanation:
As Q scored more than T and S.
Only R scored less than S.
U scored more than Q.
Three players scored less than P, so
U (Highest) > Q > P > T > S > R (Lowest)
7. Answer: B)
P scored less than U and more than T, so the probable
runs scored by P would be 41.
8. Answer: D)
T scored the 3rd
lowest runs.
9. Answer: D)
Rahul is 6 ranks ahead of Yogesh and 28 persons will be
ahead of Rahul so Rahul‟s rank is 29th
10. Answer: B)
FREQUENCY
After arranging in reverse alphabetical order, we get, Y
U R Q N F E E C
There are 3 vowels between Y and the last vowel from
the right end
(11 – 12): Common Explanation:
11. Answer: C)
E is the sister in law of C.
12. Answer: B)
All of the above are the male members, except E.
(13 – 17): Common Explanation:
Now, P sits third to the left of U, who faces away from
the centre. R sits opposite to W, who sits immediate
right of V. R is neither adjacent to P nor U. P and W
face in same direction. So, there are two cases,
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Now, T sits to the immediate right of Q, who faces away
from the centre. R and S face in same direction. S does
not face away from the centre. So, case 2 is rejected.
The final arrangement is shown below,
13. Answer: B)
14. Answer: A)
15. Answer: C)
16. Answer: C)
17. Answer: A)
18. Answer: B)
Second letter is increased by three from the first letter
except OL
W+3 = Z
O+3 = R
H+3 = K
B+3 = E
S+3 = V
19. Answer: D)
The letters we have E, R, D, G
No meaningful word can be formed with the given
letters.
20. Answer: D)
The family tree is shown in the figure:
Clearly, X is brother-in-law of P.
21. Answer: E)
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All bore can be hut ====>follows
All hut is book is a possibility ====> follows
Therefore, option E is the correct answer.
22. Answer: E)
All joy will not be hut is not a possibility ====> not
follows
All book can be bore ====> not follows
All hut cannot be book ====> not follows
Therefore, option E is the correct answer.
23. Answer: D)
All fresh are shampoo ====> not follows
All goods are fresh ====> not follows
Therefore, option D is the correct answer.
24. Answer: B)
All goods being fresh is a possibility ====> follows
Some fresh can never be goods ====> follows
All shampoo are goods ====> not follows
Therefore, option B is the correct answer.
25. Answer: D)
All hammers are not famous ====> not follows
All glides are huts ====> not follows
Therefore, option D is the correct answer
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(26 – 30): Common Explanation:
Amit sits second to the right of Aditya. Only two
persons sit between Aditya and Golu.
Case I: When Golu sits left to Aditya.
Amit Aditya Golu
Case II: When Golu sits right to Aditya.
Golu Amit Aditya
Abhishek sits fifth to the right of Golu. So, case I is
invalid. Only six persons sit between Golu and Harsh.
Jitendra sits third to the right of Kamal. Not more than
two persons sit between Abhishek and Harsh.
Jitendra sits fifth to left of Aditya. Only three persons sit
between Jitendra and Manoj. Not less than nine persons
sit between Abhishek and Manoj.
So, the final arrangement is as follow:
Harsh Abhishek Golu Amit Aditya Jitendra Kamal Manoj
26. Answer: E)
27. Answer: B)
28. Answer: A)
29. Answer: D)
30. Answer: E)
(31 – 35): Common Explanation:
As Exam of A is held immediately before G.
Exam of G is not held in a month with 31 days.
Exam of F is held three months after G.
D‟s exam is held after F.
D‟s exam is not held in a month with 31 days, so
Case I Case II Case III
February
March A A
April G G A
June G
July F F
September D F
October
November D D
B‟s exam is immediately before C.
C‟s exam is not held in October, so case II is rejected.
Case I Case III
February B
March A C
April G A
June G
July F
September D F
October B
November C D
E‟s exam is held after H.
Exam of H is not held in February, so case I is rejected.
The final schedule is given below:
Case III
February B
March C
April A
June G
July H
September F
October E
November D
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31. Answer: C)
32. Answer: D)
33. Answer: B)
34. Answer: B)
35. Answer: C)
(36 – 40): Common Explanation:
E, sits at the one end of the row. Only four persons sit
between E and L. F, sits second to the left of L. J is an
immediate neighbor of F. Only three persons sit between
N and K such that K is neither neighbor of F nor L.
Case I.
E J F N L K
Case II.
J F N L K E
I and G are sitting adjacent to each other and G sits 2nd
to left of H, who sits at the one end of the line.
So, case II is invalid.
The final arrangement is:
E M J F N L I G K H
36. Answer: D)
37. Answer: B)
38. Answer: C)
39. Answer: B)
40. Answer: E)
QUANTITATIVE APTITUDE
41. Answer: D)
From I:
x2
– 36x + 323 = 0
x2 – 19x – 17x + 323 = 0
x(x – 19) – 17(x – 19) = 0
(x – 17)(x – 19) = 0
x = 17, 19
From II:
y2
– 11y – 102 = 0
y2 – 17y + 6y – 102 = 0
y(y – 17) + 6(y – 17) = 0
(y – 17)(y + 6) = 0
y = 17, -6
X Relation Y
17 = 17
17 > -6
19 > 17
19 > -6
So, x ≥ y
42. Answer: C)
From I:
x2
– 26x + 160 = 0
x2 – 16x – 10x + 160 = 0
x(x – 16) – 10(x – 16) = 0
(x – 16)(x – 10) = 0
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x = 10, 16
From II:
y2
– 23y + 120 = 0
y2 – 15y – 8y + 120 = 0
y(y – 15) – 8(y – 15) = 0
(y – 15)(y – 8) = 0
y = 15, 8
X Relation Y
10 < 15
10 > 8
16 > 15
16 > 8
So, no relation can be established between x and y
43. Answer: E)
From I:
x2
+ 27x + 162 = 0
x2 + 9x + 18x + 162 = 0
x(x + 9) + 18(x + 9) = 0
(x + 9)(x + 18) = 0
x = -9, -18
From II:
y2
+ 16y + 63 = 0
y2 + 7y + 9y + 63 = 0
y(y + 7) + 9(y + 7) = 0
(y + 7)(y + 9) = 0
y = -7, -9
X Relation Y
-9 = -9
-9 < -7
-18 < -9
-18 < -7
So, x ≤ y
44. Answer: A)
From I:
x2
– 33x + 270 = 0
x2 – 15x – 18x + 270 = 0
x(x – 15) – 18(x – 15) = 0
(x – 15)(x – 18) = 0
x = 15, 18
From II:
y2
– 22y + 117 = 0
y2 – 9y – 13y + 117 = 0
y(y – 9) – 13(y – 9) = 0
(y – 9)(y – 13) = 0
y = 9, 13
X Relation Y
15 > 9
15 > 13
18 > 9
18 > 13
So, x > y
45. Answer: C)
I. 3x2 – 31x – 104 = 0
⇒ 3x2 – 39x + 8x – 104 = 0
⇒ 3x(x – 13) + 8(x – 13) = 0
⇒ (x – 13)(3x + 8) = 0
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Then, x = + 13 or x = - 8/3
II. 2y2 – 29y – 48 = 0
⇒ 2y2 – 32y + 3y – 48 = 0
⇒ 2y(y – 16) + 3(y – 16) = 0
⇒ (y – 16)(2y + 3) = 0
Then, y = + 16 or y = - 3/2
So, when x = + 13, x < y for y = + 16 and x > y for y = -
3/2
And when x = - 8/3, x < y for y = + 16 and x < y for y =
- 3/2
∴ So, we can observe that no clear relationship cannot
be determined between x and y.
46. Answer: D)
I. 8x2 - 15x + 7 = 0
⇒ 8x2– 8x – 7x + 7 = 0
⇒ 8x(x - 1) - 7(x - 1) = 0
⇒ (8x - 7) (x - 1) = 0
Then, x = +7/8 = +0.875 or x = + 1
II. y2 - 7y + 6 = 0
⇒ y2 - 6y - 1y + 6 = 0
⇒ y(y - 6) - 1(y - 6) = 0
⇒ (y - 1)(y – 6) = 0
Then, y = 1 or y = 6
So, when x = + 0.875, x < y for y = + 1 and x < y for y
= + 6
And when x = + 1, x = y for y = + 1 and x < y for y = +
6
∴ So, we can observe that x ≤ y.
47. Answer: E)
From statement I:
Let, the time taken by bike1 and bike2 be 3x hours and
5x hours, respectively.
So, data in statement I alone is not sufficient to answer
the question.
From statement II:
Let, the distance covered by bike1 be x km
Therefore, distance covered by bike2 = (x + 10) km
Or, x + x + 10 = 250
Or, 2x = 240
Or, x = 120 km
Therefore, distance covered by bike1 = 120 km
Distance covered by bike2 = (x + 10) = 130 km
So, data in statement II alone is not sufficient to answer
the question.
Combining statement I and II:
Speed of bike1 = 120/3x = 40/x km/hr
Speed of bike2 = 130/5x = 26/x km/hr
Difference in the speeds = 40/x – 26/x = 14/x km/hr
Required percentage = {(14/x)/(40/x)} × 100 = 35%
Therefore, data in both statements I and II together are
necessary to answer the question.
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48. Answer: C)
Let, the unit digit of the number be y and its ten‟s digit
be x
Therefore, number = 10x + y
From statement I:
10x + y + 20 = 1.8(10x + y)
Or, 10x + y = 25..... (2)
Therefore, the number = 10x + y = 25
So, data in statement I alone is sufficient to answer the
question.
From statement II:
Since, the number is a multiple of 5 and the difference
between the unit and ten‟s digit is 3
Therefore, the number is 25.
So, data in statement II alone is sufficient to answer the
question.
Therefore, data either in statement I alone or in
statement II alone are sufficient to answer the question.
49. Answer: E)
Let, the total number of pages in book 1, book 2 and
book 3 be x, y and z, respectively.
Therefore, (x + y + z)/3 = 300
Or, x + y + z = 900
From statement I:
Since, the number of pages in book 3 is „p‟ more than
number of pages in book 1 and number of pages in book
2 is also „p‟ more than number of pages in book 3.
Difference is equal. Therefore, total number of pages in
book 3 will be 300, which is equal to average.
Or, x + y = 900 – 300 = 600
So, data in statement I alone is not sufficient to answer
the question.
From statement II:
According to the question,
y = x + 100
So, data in statement II alone is not sufficient to answer
the question.
Combining statement I and II:
x + x + 100 = 600
Or, 2x = 500
Or, x = 250
Therefore, number of pages in book 2 = 250 + 100 =
350
Required percentage = (350/250) × 100 = 140%
Therefore, data in both statements I and II together are
necessary to answer the question.
50. Answer: D)
Let, the income of A and B be Rs. x and Rs. y
respectively.
Therefore, y – x = 8000
From statement I:
Saving of A and B is Rs. x/4 and Rs. y/4 respectively.
So, data in statement I alone is not sufficient to answer
the question.
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From statement II:
B saves Rs. 2000 more than A
So, data in statement II alone is not sufficient to answer
the question.
Combining statement I and II
y/4 – x/4 = 2000
Or, y – x = 8000.
Therefore, data given in both statements I and II
together are not sufficient to answer the question.
51. Answer: E)
Let the income of B be Rs. x
From statement I:
Expenditure of B on food = Rs. 0.20x
So, data in statement I alone is not sufficient to answer
the question.
From statement II:
Expenditure of B on food = 0.75 × 12800 = Rs. 9600
So, data in statement II alone is not sufficient to answer
the question.
Combining statement I and II:
0.20x = 9600
Or, x = 9600/0.20 = Rs. 48000
Therefore, data in both statements I and II together are
necessary to answer the question.
52. Answer: B)
5 + 21 = 7
7 + 22 = 11
11 + 23 = 19
19 + 24 = 35
35 + 25 = 67
Therefore, the missing number is 19.
53. Answer: D)
4 + 13 = 5
5 + 33 = 32
32 + 53 = 157
157 + 73 = 500
500 + 93 = 1229
Therefore, the missing number is 32.
54. Answer: E)
11 × 1 = 11
21 × 2 = 42
31 × 3 = 93
41 × 4 = 164
51 × 5 = 255
61 × 6 = 366
Therefore, the missing number is 255.
55. Answer: A)
2520 ÷ 5 = 504
504 ÷ 4 = 126
126 ÷ 3 = 42
42 ÷ 2 = 21
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21 ÷ 1 = 21
Therefore, the missing number is 21.
56. Answer: C)
11 + 11 × 1 = 22
22 + 11 × 2 = 44
44 + 11 × 3 = 77
77 + 11 × 4 = 121
121 + 11 × 5 = 176
Therefore, the missing number is 77.
57. Answer: D)
21 + 1 = 22
22 + 4 = 26
26 + 16 = 42
42 + 64 = 106
106 + 256 = 362
Therefore, the missing number is 106.
58. Answer: A)
Quantity of the milk in the mixture initially = 171 × 2/3
= 114 litres
Quantity of the water in the mixture initially = 171 × 1/3
= 57 litres
According to the question,
114:(57 + x) = 3:2
228 = 171 + 3x
3x = 57
x = 19 litres
59. Answer: D)
Let the total amount of the work = LCM of 20 and 15 =
60 units
Amount of the work done by A in one day = 60/20 = 3
units
Amount of the work done by B in one day = 60/15 = 4
units
Amount of the work done by C in one day = (3 + 4) ×
5/7 = 5 units
Amount of the work done by A, B and C together in one
day = 3 + 5 + 4 = 12 units
Time taken by A, B and C together to complete the work
= 60/12 = 5 days
60. Answer: C)
Profit ratio of Anirudh and Siddharth = (15000 × 9 +
15000 × 2/3 × 3):(13500 × 9 + 13500 × 2/3 × 3)
= 165000: 148500 = 10:9
Profit share of Anirudh = 22800 × 10/19
= Rs. 12000
61. Answer: D)
Let the present age of Rajesh = x years
Present age of Hitesh = (x + 8) years
According to the question,
(x + 4):(x + 12) = 7:9
9x + 36 = 7x + 84
2x = 48
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x = 24
Present age of Rajesh = 24 years
Present age of Hitesh = 32 years
Required average = (24 + 32)/2 = 28 years
62. Answer: E)
Marked price of the article = 1.4 × 3000 = Rs. 4200
Let the discount offered be Rs. x
Selling price of the article = Rs. (4200 – x)
According to the question,
(3600 + x) – (4200 - x) = 60
Or, 1200 + 60 = 2x
Or, x = 1260/2 = Rs. 630
63. Answer: C)
Let the speed of boat in downstream be „x‟ km/h
Speed of boat in still water = 0.6x km/h
Speed of stream = x – 0.6x = 0.4x km/h
Speed of boat in downstream = x – 2 × 0.4x = 0.2x km/h
According to question,
30/x + 30/0.2x = 3
10 × (1/x + 5/x) = 1
x = 60
Speed of boat in still water = 0.6 × 60 = 36 km/h
64. Answer: B)
Simple interest for 1 year = 2400/2 = Rs. 1200
Difference between CI and SI for 2 years = 2580 – 2400
= Rs. 180
So, Desired Rate = 180/1200 × 100 = 15%
65. Answer: D)
Total runs scored in 18 matches = 18 × 62.5 = 1125
Total runs score in 19 matches = 1125 + 91 = 1216
New average = 1216/19 = 64
Increase in average of Duminy = 64 – 62.5 = 1.5
66. Answer: A)
Let cost price of the motorbike for Gayle is Rs. 100x
Cost price for of motorbike for Bravo = 1.2 × 100x =
Rs. 120x
Cost price of motorbike for Obama = 120x + 800
According to question,
120x + 800 = 7750 – 1550
120x = 5400
x = 45
So, cost price of the motorbike for Gayle= Rs. 4500
67. Answer: C)
Desired probability = 1 – (1/3 + 1/4) = 1 – 7/12 = 5/12
68. Answer: B)
In 1 hr, the pipe can fill 1/2 part of the tank
In 1 hr, the pipe and the leakage can fill 1/3 part of the
tank
So, in 1 hr, the leakage can empty (1/2 - 1/3) or 1/6 part
of the tank
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In 1 hr the leak will empty (33/2) litres
(1/6) of tank = (33/2) litres
=> Capacity of tank = (33/2)*6 = 99 litres
(69 – 71): Common Explanation:
Floors Total Males Females
First 524 248 524 – 248 = 276
Second 566 242 566 – 242 = 324
Third 850 310 850 – 310 = 540
Fourth 680 284 680 – 284 = 396
Fifth 790 364 790 – 364 = 426
Sixth 750 325 750 – 325 = 425
69. Answer: A)
Desired Percentage = [(310 – 248)/248] × 100 = 25%
70. Answer: D)
Desired average = (276 + 426)/2 = 351
71. Answer: d)
Number of unmarried females in sixth floor = 425 x
8/17 = 200
(72 – 76): Common Eplanation:
Institute
Total
number of
students
Number of
students
enrolled for
SSC exams
Number of
students
enrolled for
banking exams
A 2500 2500 × 12/25
= 1200
2500 – 1200 =
1300
B 4000 4000 × 9/16 =
2250
4000 – 2250 =
1750
C 2000 2000 × 3/8 =
750
2000 – 750 =
1250
D 3500 3500 × 5/14 =
1250
3500 – 1250 =
2250
E 5000 5000 × 19/40
= 2375
5000 – 2375 =
2625
72. Answer: D)
Required ratio = 1750:1250 = 7:5
73. Answer: A)
Required average = (2000 + 3500 + 5000)/3 = 3500
74. Answer: C)
Required percentage = {(2250 – 1200)/1200} × 100 =
87.5%
75. Answer: A)
Number of females enrolled for banking exams in
institute C = 0.45 × 2000 × 8/15 = 480
Therefore, number of males enrolled for banking exams
in institute C = 1250 – 480 = 770
76. Answer: E)
Required difference = 2625 – 2375 = 250
(77 – 80): Common Explanation:
Companie
s
Total bags
manufacture
d
Number of
Hand bags
manufacture
d
Number of
School bags
manufacture
d
Safari 700 0.45 × 700 =
315
700 – 315 =
385
Skybags 550 0.70 × 550 =
385
550 – 385 =
165
Puma 1200 0.60 × 1200
= 720
1200 – 720
= 480
Nike 800 0.42 × 800 =
336
800 – 336 =
464
Quechua 1500 0.54 × 1500
= 810
1500 – 810
= 690
Killer 750 0.36 × 750 =
270
750 – 270 =
480
77. Answer: D)
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Number of school bags manufactured by Killer = 480
78. Answer: B)
Desired Average = (480 + 464)/2 = 472
79. Answer: A)
Desired Ratio = 315:385 = 9:11
80. Answer: D)
Desired Percentage = [(810 – 720)/720] × 100 = 12.5%
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