ibps rrb po prelims 2020 model question paper set 10

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?

http://bit.ly/2WRWaPG

https://bit.ly/3bUbGO3




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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


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.






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 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



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


d) x ≥ y

e) x ≤ y

43. I. x2

+ 27x + 162 = 0

II. y2

+ 16y + 63 = 0

a) x > y

b) x < y


d) x ≥ y

e) x ≤ y

44. I. x2

– 33x + 270 = 0

II. y2

– 22y + 117 = 0

a) x > y

b) x < y


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


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.













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.













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.













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.













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



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



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



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


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. Answer: C)

E is the sister in law of C.

12. Answer: B)

All of the above are the male members, except E.


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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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)


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)


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




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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


the question.

From statement II:

According to the question,

y = x + 100


the question.


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%



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.


the question.



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From statement II:

B saves Rs. 2000 more than A


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


the question.

From statement II:

Expenditure of B on food = 0.75 × 12800 = Rs. 9600


the question.


0.20x = 9600

Or, x = 9600/0.20 = Rs. 48000



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


54. Answer: E)

11 × 1 = 11

21 × 2 = 42

31 × 3 = 93

41 × 4 = 164

51 × 5 = 255

61 × 6 = 366


55. Answer: A)

2520 ÷ 5 = 504

504 ÷ 4 = 126

126 ÷ 3 = 42

42 ÷ 2 = 21



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21 ÷ 1 = 21


56. Answer: C)

11 + 11 × 1 = 22

22 + 11 × 2 = 44

44 + 11 × 3 = 77

77 + 11 × 4 = 121

121 + 11 × 5 = 176


57. Answer: D)

21 + 1 = 22

22 + 4 = 26

26 + 16 = 42

42 + 64 = 106

106 + 256 = 362


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


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


(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)


(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


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


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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