Official Paper

RRB PO Prelims Memory Based Paper (Held On: 03 August 2024 Shift 2) (Previous Year Paper)

80 questions · 45 minutes · with answers · free

Reasoning (40 questions)

Direction : Read  the following information carefully and answer the questions based on given information.

Eight persons namely A, E, J, M, O, R, T, U lives on four storey building on two flats P and Q  such that bottom most floor is number 1 and top most floor is number 4 and Flat P is to the west of Flat Q but not necessarily in the same order. R lives below M. M and O lives adjacent floors to each other. J lives to the Northwest of A but not immediate Northwest. No one lives to the west of U. T doesn’t live to the North of R. More than two person lives between the floor of M and A. As many person lives above T as many person below U. E lives in the same type of Flat as of O. U doesn't live above T.

1

Who lives above the floor of T ?

  1. ((a))

    O

  2. ((b))

    R

  3. ((c))

    U

  4. ((d))

    A

  5. ((e))

    None of these

Show Answer
Answer: ((a))

O

2

Who lives to the east of R ?

  1. ((a))

    T

  2. ((b))

    O

  3. ((c))

    E

  4. ((d))

    A

  5. ((e))

    U

Show Answer
Answer: ((a))

T

3

Who among them lives on floor 3 ?

  1. ((a))

    MO

  2. ((b))

    JE

  3. ((c))

    UT

  4. ((d))

    JO

  5. ((e))

    RT

Show Answer
Answer: ((a))

MO

4

Which of the following is correctly matched ?

  1. ((a))

    M - Flat P - Floor 4

  2. ((b))

    J - Flat Q - Floor 3

  3. ((c))

    R - Flat P - Floor 1

  4. ((d))

    E - Flat P - Floor 3

  5. ((e))

    A - Flat P - Floor 4

Show Answer
Answer: ((a))

M - Flat P - Floor 4

5

Which of the following statement is / are correct ?

A) M lives Northeast of E.

B) O lives south of U.

C) R and E lives on same floor.

  1. ((a))

    Only A

  2. ((b))

    Only B

  3. ((c))

    Only C

  4. ((d))

    Both A and B

  5. ((e))

    Both B and C

Show Answer
Answer: ((a))

Only A

6

Directions: In the following question assuming the given statements to be true, find which of the conclusion(s) among given conclusions is /are definitely true and then give your answers accordingly.

Statements:

P > N = U ≥ L, F ≤ X < L

Conclusions:  

I. X > N

II. P > F

  1. ((a))

    Only conclusion I is true.

  2. ((b))

    Only conclusion II is true.

  3. ((c))

    Either conclusion I or II is true.

  4. ((d))

    Neither conclusion I nor II is true.

  5. ((e))

    Both conclusions I and II are true.

Show Answer
Answer: ((a))

Only conclusion I is true.

7

Directions: In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is /are definitely true and then give your answers accordingly.

Statements:

A ≤ C; D ≤ E; A ≥ B; B ≥ E

Conclusions:

I. C > D

II. C = D

  1. ((a))

    None is true

  2. ((b))

    Only I is true

  3. ((c))

    Only II is true

  4. ((d))

    Both I and II are true

  5. ((e))

    Either I or II true

Show Answer
Answer: ((a))

None is true

8

Directions: In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.

Statements: A > D < K; E > M > R; D > R

Conclusions:

I. R < K

II. E > A

III. D > E

  1. ((a))

    Only I is true.

  2. ((b))

    Only II is true.

  3. ((c))

    Only I and II is true.

  4. ((d))

    Only II and III are true.

  5. ((e))

    Only III is true.

Show Answer
Answer: ((a))

Only I is true.

9

Directions: In the following question assuming the given statements to be true,find which of the conclusion among given conclusions is /are definitely true and then give your answers accordingly.

Statements: Z < N = Y ≥ G > H = F; G > L = D > V; L > W = A

Conclusions:

I. A < H

II. V < Z

  1. ((a))

    Only I follows

  2. ((b))

    Only II follows

  3. ((c))

    Either I or II follows

  4. ((d))

    Neither I nor II follows

  5. ((e))

    Both I and II follow

Show Answer
Answer: ((a))

Only I follows

Direction : Read the following information carefully and answer  the questions based on given information.

Seven  persons J, K, M, P, Q, T, V visit temple on different days of a week starting from Tuesday and likes different flowers i.e. Lily, Rose, Lotus, Sunflower, Tulip, Lavender, Jasmine but not necessarily in the same order. Each person visit only one day. The person who likes Lavender visits immediately after V. More than three persons visit between T and M, who likes Jasmine. Neither P nor K likes Tulip or Lotus. As many people visits before Q as many after him and likes Sunflower. The person who likes Rose visits  just before J. Atmost two person visits before the one who like Lotus. T visits before V, who visits on Saturday doesn’t likes Rose. P visits either on Tuesday or on Monday.

10

Who among them like Lavender ?

  1. ((a))

    P

  2. ((b))

    J

  3. ((c))

    K

  4. ((d))

    T

  5. ((e))

    V

Show Answer
Answer: ((a))

P

11

Which flower like by the person who visits on Saturday ?

  1. ((a))

    Lily

  2. ((b))

    Tulip

  3. ((c))

    Lavender

  4. ((d))

    Lotus

  5. ((e))

    None of these

Show Answer
Answer: ((a))

Lily

12

Which of the following statement(s) is / are correct ?

A) M is the last person who visits temple.

B) V visits just before Q.

C) T visits on Tuesday.

  1. ((a))

    Only A

  2. ((b))

    Only B

  3. ((c))

    Neither B nor C.

  4. ((d))

    Both B and C

  5. ((e))

    Both 1 and 3

Show Answer
Answer: ((a))

Only A

13

Which of the following pair is correctly matched ?

  1. ((a))

    J - Thursday - Lotus

  2. ((b))

    M - Sunday - Jasmine

  3. ((c))

    T - Tuesday - Tulip

  4. ((d))

    K - Monday - Lily

  5. ((e))

    None of these

Show Answer
Answer: ((a))

J - Thursday - Lotus

14

Which of the following statement is correct ?

  1. ((a))

    Q visits on Thursday.

  2. ((b))

    T like Lavender.

  3. ((c))

    The person who like Tulip visits immediately after Q.

  4. ((d))

    There is a gap of two persons between V and M.

  5. ((e))

    All statements are correct.

Show Answer
Answer: ((a))

Q visits on Thursday.

15

How many such pairs of letters are there in the word “ABSTRACT” that has as many letters between them in the word as in the alphabet?

  1. ((a))

    One

  2. ((b))

    Four

  3. ((c))

    Five

  4. ((d))

    Three

  5. ((e))

    Two

Show Answer
Answer: ((a))

One

Direction: Study the following information carefully and answer the given questions:

In a certain code language:

‘chair becomes table’ is written as ‘mo lo bo’

‘brown finds beauty’ is written as ‘go do no’

‘table is brown’ is written as ‘no po lo’

‘beauty impersonate chair’ is written as ‘bo jo go’

16

What is the code for ‘beauty’ in that language?

  1. ((a))

    po

  2. ((b))

    lo

  3. ((c))

    do

  4. ((d))

    go

  5. ((e))

    bo

Show Answer
Answer: ((a))

po

17

Code ‘jo’ is for which word in that given code language?

  1. ((a))

    chair

  2. ((b))

    brown

  3. ((c))

    impersonate

  4. ((d))

    table

  5. ((e))

    Is

Show Answer
Answer: ((a))

chair

18

What would be the code for ‘brown becomes beauty’ in that code language?

  1. ((a))

    no lo po

  2. ((b))

    no do lo

  3. ((c))

    jo po go

  4. ((d))

    no lo bo

  5. ((e))

    no mo go

Show Answer
Answer: ((a))

no lo po

19

Code ‘lo po’ is for which of the following words in the following code language?

  1. ((a))

    table-chair

  2. ((b))

    table-is

  3. ((c))

    brown-table

  4. ((d))

    chair-beauty

  5. ((e))

    impersonate-beauty

Show Answer
Answer: ((a))

table-chair

Direction : Read  the following information carefully and answer the questions based on given information.

Eight persons A, G, M, O, P, U, X and Z are sitting around a circular table. Four of them are facing towards the centre (inward direction) while rest four are facing away from the centre (outward direction). No three consecutive persons facing in same direction. Z sits second to the right of P. Two persons sit between G and U. M sits third to the left of O, who faces towards the centre. The person who sits opposite to A is an immediate neighbour of G who doesn’t face M. Z and M sits immediate left to each other. The immediate neighbour of G faces in same direction. A sits to the immediate right of Z.

20

Who among them sits third left of G ?

  1. ((a))

    O

  2. ((b))

    U

  3. ((c))

    P

  4. ((d))

    Z

  5. ((e))

    A

Show Answer
Answer: ((a))

O

21

Find the odd one out.

  1. ((a))

    G

  2. ((b))

    Z

  3. ((c))

    U

  4. ((d))

    A

  5. ((e))

    M

Show Answer
Answer: ((a))

G

22

How many persons sit between Z and U, when counting from right of U ?

  1. ((a))

    Two

  2. ((b))

    Three

  3. ((c))

    Four

  4. ((d))

    One

  5. ((e))

    None

Show Answer
Answer: ((a))

Two

23

Which of the following statement(s) is / are incorrect ?

  1. ((a))

    U faces away from centre.

  2. ((b))

    Z sits immediate left to A.

  3. ((c))

    G and P sits opposite to each other.

  4. ((d))

    O sits opposite to M.

  5. ((e))

    M and P faces in same direction

Show Answer
Answer: ((a))

U faces away from centre.

24

Who among them sits second left to the one sits opposite to M ?

  1. ((a))

    G

  2. ((b))

    A

  3. ((c))

    P

  4. ((d))

    Z

  5. ((e))

    X

Show Answer
Answer: ((a))

G

25

How many meaningful English words can be formed, starting with B, with the second, the third, and the fifth letters of the word HOBBY, using each letter only once in each word?

  1. ((a))

    One

  2. ((b))

    Three

  3. ((c))

    Two

  4. ((d))

    Four

  5. ((e))

    None

Show Answer
Answer: ((a))

One

26

Direction: Study the following information carefully and answer the question given below.

If in the word "HELPLESSNESS" each consonant is replaced by the previous alphabet and each vowel is replaced by the next alphabet of the English alphabetical series then, how many letters are repeated three or more than three times in the new word formed?

  1. ((a))

    1

  2. ((b))

    4

  3. ((c))

    2

  4. ((d))

    3

  5. ((e))

    None

Show Answer
Answer: ((a))

1

Direction : Read  the following information carefully and answer the questions based on given information.

There are a certain number of persons sitting in a linear row and facing towards the North direction. Only four persons sit between K and S, who sits second from one of the extreme end. R sits third to the left of E. There are only seven persons sit between J and V, who sits third to the left of K. Only five persons sit between E and J, who sits to the right of E. N sits immediately left to R. The number of persons sit to the right of A is one less than the persons sit to the left of R. As many persons sit between J and I as many person between V and I. A sits third to the right of K.

27

Which of the following statement is correct ?

  1. ((a))

    S sits second from extreme left end.

  2. ((b))

    V sits third right of K.

  3. ((c))

    S sits second from extreme right end.

  4. ((d))

    As many person sit between V and K as many that of K and S.

  5. ((e))

    N sits fourth to the right of E.

Show Answer
Answer: ((a))

S sits second from extreme left end.

28

How many persons sit on a row ?

  1. ((a))

    25

  2. ((b))

    27

  3. ((c))

    31

  4. ((d))

    35

  5. ((e))

    30

Show Answer
Answer: ((a))

25

29

What is the position of V with respect to A ?

  1. ((a))

    Third to the right.

  2. ((b))

    Sixth to the right

  3. ((c))

    Third to the left.

  4. ((d))

    Sixth to the left

  5. ((e))

    Fourth to the left.

Show Answer
Answer: ((a))

Third to the right.

30

Who sits immediate right of N ?

  1. ((a))

    S

  2. ((b))

    K

  3. ((c))

    J

  4. ((d))

    I

  5. ((e))

    R

Show Answer
Answer: ((a))

S

31

Who sits fourth right of I ?

  1. ((a))

    V

  2. ((b))

    J

  3. ((c))

    K

  4. ((d))

    E

  5. ((e))

    R

Show Answer
Answer: ((a))

V

Direction : Read  the following information carefully and answer the questions based on given information.

Ten boxes contain ten different fruits which are Apples, Bananas, Blueberries, Grapes, Kiwis, Oranges, Guava, Peach, Mango and Pineapple which are placed one above other from bottom to top but not necessarily in same order. Only three boxes are placed between the boxes which contains Kiwis and Peach, which is below the box of Kiwis. Neither the box of Mango nor of Peach is placed either topmost or bottommost. The box which contains Banana placed at even position above fifth box. As many boxes placed between the boxes which contains Oranges and Pineapple, which is below the box of Oranges as many between boxes which contains Banana and Guava. The box which contains Grapes placed immediately either above or below the box which contains Banana. The box of Kiwis and Oranges are adjacent to the box of Blueberry. The box which contains Apple is placed above the box which contains Blueberry. Not less than four boxes are placed between the boxes which contains Banana and Peach. Only one box is placed between the box which contains Blueberry and that of Guava, which is just above the box of Peach.

32

Which of the following is / are correct statement(s) ?

  1. ((a))

    The box of Kiwi is placed above the box of Blueberry.

  2. ((b))

    Only two boxes are placed between the box of Apple and the box of Mango.

  3. ((c))

    The box of Guava is placed just below the box of Oranges.

  4. ((d))

    The box of Mango is placed just below the box of Banana.

  5. ((e))

    Both 1 and 3

Show Answer
Answer: ((a))

The box of Kiwi is placed above the box of Blueberry.

33

As many boxes above the box of Banana as many boxes below the box of _ ?

  1. ((a))

    Guava

  2. ((b))

    Oranges

  3. ((c))

    Peach

  4. ((d))

    Mango

  5. ((e))

    Kiwi

Show Answer
Answer: ((a))

Guava

34

Which box is placed at ninth position ?

  1. ((a))

    Kiwi

  2. ((b))

    Blueberry

  3. ((c))

    Oranges

  4. ((d))

    Grapes

  5. ((e))

    Mango

Show Answer
Answer: ((a))

Kiwi

35

How many boxes are placed between the box of Oranges and the box of Apples ?

  1. ((a))

    Four

  2. ((b))

    Two

  3. ((c))

    Six

  4. ((d))

    Five

  5. ((e))

    Three

Show Answer
Answer: ((a))

Four

36

Which box is placed immediately above the fifth box ?

  1. ((a))

    Oranges

  2. ((b))

    Blueberry

  3. ((c))

    Banana

  4. ((d))

    Mango

  5. ((e))

    Apple

Show Answer
Answer: ((a))

Oranges

37

Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter-cluster.

  1. ((a))

    GHN

  2. ((b))

    EFK

  3. ((c))

    CDI

  4. ((d))

    ABG

  5. ((e))

    None of above

Show Answer
Answer: ((a))

GHN

Directions : Study the following information carefully and answer the questions given below:

Rohit walks 14m towards south from point P and reaches point Q. Then he takes a left turn and walks 18m to reach point R and then he turns left and walks 19m to reach point S. Again, he turns left and walks 10m to reach point T. Finally he turns left and walks 5m to reach point V.

38

Point R is in which direction from point T ?

  1. ((a))

    North

  2. ((b))

    Southeast

  3. ((c))

    Northeast

  4. ((d))

    South

  5. ((e))

    None of these

Show Answer
Answer: ((a))

North

39

How far and in which direction is point V from point P ?

  1. ((a))

    8m to the west

  2. ((b))

    10m to the east

  3. ((c))

    8m to the east

  4. ((d))

    12m to the east

  5. ((e))

    None of these

Show Answer
Answer: ((a))

8m to the west

40

Point Q is in which direction with respect to point S ?

  1. ((a))

    Southeast

  2. ((b))

    Southwest

  3. ((c))

    South

  4. ((d))

    North

  5. ((e))

    Northeast

Show Answer
Answer: ((a))

Southeast

Quantitative Aptitude (40 questions)

Directions: Read the data carefully and answer the following questions. 

The table given below shows the total number of Male and Female employees in five different companies ('A', 'B', 'C', 'D' and 'E'). It also shows the ratio of the number of Male employees to female employees in each company.

CompaniesTotal Number of EmployeesRatio of Male to Female Employees
A6247:6
B9365:8
C6304:3
D5285:6
E6003:2
41

If Company A decides to reduce its female workforce by 1/6th and Company E increases its male workforce by 1/4th, what is the approximate percentage difference between the new total number of male employees in Company E and the new total number of female employees in Company A?

  1. ((a))

    74.5%

  2. ((b))

    103.5%

  3. ((c))

    87.5%

  4. ((d))

    92.5%

  5. ((e))

    95.25%

Show Answer
Answer: ((a))

74.5%

42

If Company A and Company C decide to merge, and Company D and Company E decide to merge, what is the approximate difference between the average number of male employees in the merged Company (A+C) and the average number of female employees in the merged Company (D+E)?

  1. ((a))

    38

  2. ((b))

    49

  3. ((c))

    62

  4. ((d))

    95

  5. ((e))

    84

Show Answer
Answer: ((a))

38

43

If Company B decides to promote 15% of its male employees to senior positions and Company D decides to hire an additional 25% female employees of its current female count, what is the ratio of male senior employees in Company B to total female employees in Company D after these changes?

  1. ((a))

    4:9

  2. ((b))

    1:5

  3. ((c))

    2:15

  4. ((d))

    3:20

  5. ((e))

    5:27

Show Answer
Answer: ((a))

4:9

44

If the number of female employees in Company D increases by 50% and the number of female employees in Company E decreases by 25%, what will be the difference between the total number of employees in Company D and Company E after these changes?

  1. ((a))

    187

  2. ((b))

    193

  3. ((c))

    168

  4. ((d))

    132

  5. ((e))

    141

Show Answer
Answer: ((a))

187

45

Out of all the Male employees in Company 'E', 35% like coffee. Additionally, 20% of the Female employees in Company 'E' like tea. What is the ratio of Male employees who like coffee to Female employees who like tea?

  1. ((a))

    21:8

  2. ((b))

    19:7

  3. ((c))

    16:5

  4. ((d))

    5:2

  5. ((e))

    4:1

Show Answer
Answer: ((a))

21:8

46

 Train ‘P’, running with a speed of 144 km/h, crosses a pole in 17 seconds. If the time taken by train ‘P’ to cross train ‘Q’ running with a speed of 72 km/h and coming from the opposite direction is 22.8 seconds, then find the length of train 'Q'.

  1. ((a))

    688 meters

  2. ((b))

    660 meters

  3. ((c))

    448 meters

  4. ((d))

    620 meters

  5. ((e))

    None of these

Show Answer
Answer: ((a))

688 meters

47

"Rahul" and "Sohan" have respective completion times of 15 and 25 days for a task. They began working together on the project, but after a few days, "Rahul" left and "Priya," who can finish the entire task on her own in 12 days, joined. Three days before the job was finished, "Priya" left. Determine the amount of work completed by "Sohan" if "Rahul" and "Priya" worked for a similar number of days.

  1. ((a))

    7/5

  2. ((b))

    9/25

  3. ((c))

    2/5

  4. ((d))

    3/25

  5. ((e))

    None of these

Show Answer
Answer: ((a))

7/5

48

The marks obtained by A and B in a test are in the ratio 8:5 respectively. If B had scored 10 more marks, then the marks scored by A would be 40% more than that of B. What is the difference between the actual marks scored by A and B?

  1. ((a))

    18

  2. ((b))

    24

  3. ((c))

    36

  4. ((d))

    42

  5. ((e))

    50

Show Answer
Answer: ((a))

18

Directions: Read the data carefully and answer the following questions. 

In the line chart below, the total number of students (boys + girls) and the number of girl students in 5 different schools - P, Q, R, S and T are given.

49

Find the average number of boys in Q, R, S and T. 

  1. ((a))

    340

  2. ((b))

    310

  3. ((c))

    270

  4. ((d))

    290

  5. ((e))

    350

Show Answer
Answer: ((a))

340

50

 If 30% of boys from school T and 40% of boys from school S participated in sports. Find the ratio of total number of boys participated in sports from T and S.

  1. ((a))

    8:9

  2. ((b))

    9:11

  3. ((c))

    6:7

  4. ((d))

    5:7

  5. ((e))

    1:3

Show Answer
Answer: ((a))

8:9

51

If 20% of number of girls from school P and 40% of number of boys from same school are selected for a science project, what is sum of number of boys and girls who are not selected for science project?

  1. ((a))

    312

  2. ((b))

    344

  3. ((c))

    280

  4. ((d))

    330

  5. ((e))

    268

Show Answer
Answer: ((a))

312

52

The average number of girls in Q, R & S and the average number of boys in S, T & U are in the ratio 3 : 4, then the number of boys in T is how much more or less than the number of girls in Q?

  1. ((a))

    189 less

  2. ((b))

    192 more

  3. ((c))

    167 less

  4. ((d))

    104 more

  5. ((e))

    124 less

Show Answer
Answer: ((a))

189 less

53

The total number of boys in school Q and R together is approximately what percent more than the number of girls in school T?

  1. ((a))

    84.28%

  2. ((b))

    97.53%

  3. ((c))

    41.96%

  4. ((d))

    51.37%

  5. ((e))

    69.65%

Show Answer
Answer: ((a))

84.28%

54

When a shopkeeper sells an item X for Rs. 36,000, he incurs a loss of 20%. If he sells another item Y of the same cost price in order to recover the loss incurred by selling X, what would be the selling price of Y?

  1. ((a))

    Rs. 39,000

  2. ((b))

    Rs. 45,000

  3. ((c))

    Rs. 54,000

  4. ((d))

    Rs. 68,000

  5. ((e))

    Rs. 23,000

Show Answer
Answer: ((a))

Rs. 39,000

55

Ravi goes to a stationery store with a certain amount of money. He can buy 40 pens or 20 notebooks with the money he has. However, he decides to save 25% of the amount for other expenses and buys 4 notebooks and some pens. Find the percentage of pens he can now purchase out of the initial number of pens he could have bought.

  1. ((a))

    40%

  2. ((b))

    55%

  3. ((c))

    60%

  4. ((d))

    35%

  5. ((e))

    80%

Show Answer
Answer: ((a))

40%

56

In each of the following number series, a wrong number is given. Find out that number.

254, 218, 193, 175, 168, 164

  1. ((a))

    164

  2. ((b))

    168

  3. ((c))

    175

  4. ((d))

    193

  5. ((e))

    218

Show Answer
Answer: ((a))

164

57

In each of the following number series, the wrong number is given, find out that number.

2, 9, 34, 99, 184, 189

  1. ((a))

    9

  2. ((b))

    34

  3. ((c))

    99

  4. ((d))

    184

  5. ((e))

    189

Show Answer
Answer: ((a))

9

58

In each of the following number series, a wrong number is given. Find out that number.

10, 11, 25, 80, 329, 1644

  1. ((a))

    25

  2. ((b))

    329

  3. ((c))

    80

  4. ((d))

    1644

  5. ((e))

    11

Show Answer
Answer: ((a))

25

59

In each of the following number series, the wrong number is given, find out that number.

8, 88, 616, 3080, 9260, 18480

  1. ((a))

    18480

  2. ((b))

    616

  3. ((c))

    88

  4. ((d))

    3080

  5. ((e))

    9260

Show Answer
Answer: ((a))

18480

60

In each of the following number series, a wrong number is given. Find out that number.

65, 84, 105, 128, 176, 180

  1. ((a))

    180

  2. ((b))

    128

  3. ((c))

    84

  4. ((d))

    105

  5. ((e))

    176

Show Answer
Answer: ((a))

180

61

Ravi lent Rs. 15,000 to Suresh for 4 years and Rs. 18,000 to Ramesh for 5 years on simple interest at the same rate of interest. He received a total interest of Rs. 16,200 from both loans. What is the rate of interest per annum?

  1. ((a))

    12.9%

  2. ((b))

    8.3%

  3. ((c))

    10.8%

  4. ((d))

    4.75%

  5. ((e))

    11.25%

Show Answer
Answer: ((a))

12.9%

62

A person can walk a certain distance in 15 days when they rest 6 hours a day. How long will they take to walk three times the distance, 1.5 times as fast, and resting twice as long each day?

  1. ((a))

    41 days

  2. ((b))

    42 days

  3. ((c))

    45 days

  4. ((d))

    22(1/2) days

  5. ((e))

    21 days

Show Answer
Answer: ((a))

41 days

63

The surface area of water in a swimming pool forms a rectangle with a length of 40 meters and a breadth of 15 meters. The depth of water increases uniformly from 1.2 meters at one end to 2.8 meters at the other end. What is the volume (in m³) of water in the pool?

  1. ((a))

    1500 m3

  2. ((b))

    1700 m3

  3. ((c))

    1200 m3

  4. ((d))

    1080 m3

  5. ((e))

    800 m3

Show Answer
Answer: ((a))

1500 m3

64

X started a business with an investment of Rs 20,000. After 3 months, Y joins in with 3/4 of the amount that X invested, and X withdraws Rs 5,000. After 4 more months, Z joins with Rs 15,000, and X again withdraws Rs 3,000. After one year, if Z received Rs 4,500 as his share, what was the total profit?

  1. ((a))

    Rs. 16,200

  2. ((b))

    Rs. 23,400

  3. ((c))

    Rs. 10,700

  4. ((d))

    Rs. 21,900

  5. ((e))

    Rs. 14,300

Show Answer
Answer: ((a))

Rs. 16,200

Directions: Read the data carefully and answer the following questions. 

A class has a total of 1500 students. All the students are studying exactly one of three different subjects: Physics, Biology and Chemistry. The number of students studying Biology is 25% of the total number of students in the class, and the ratio of boys to girls studying Biology is 2:3, respectively. The number of students studying Chemistry is 80% of the number of students studying Physics. The number of girls studying Physics is 85 less than the number of boys studying Physics. The number of boys studying Chemistry is 25% of the number of girls studying Chemistry.

65

The number of girls studying Biology is what percentage of the total number of students studying Chemistry?

  1. ((a))

    45%

  2. ((b))

    51%

  3. ((c))

    28%

  4. ((d))

    55%

  5. ((e))

    80%

Show Answer
Answer: ((a))

45%

66

If the number of girls studying Chemistry increases by 20% and the number of boys studying Chemistry decreases by 10%, what will be the new ratio of boys to girls studying Chemistry?

  1. ((a))

    4:9

  2. ((b))

    1:4

  3. ((c))

    3:16

  4. ((d))

    2:5

  5. ((e))

    5:12

Show Answer
Answer: ((a))

4:9

67

Find the difference between the number of boys studying Chemistry and the number of girls studying Biology as a subject.

  1. ((a))

    185

  2. ((b))

    190

  3. ((c))

    165

  4. ((d))

    125

  5. ((e))

    140

Show Answer
Answer: ((a))

185

68

The total number of girls studying Physics and Chemistry together is how much more than the total number of boys studying Biology and Chemistry together?

  1. ((a))

    315

  2. ((b))

    420

  3. ((c))

    435

  4. ((d))

    340

  5. ((e))

    None of these

Show Answer
Answer: ((a))

315

69

If 50 students from Physics switch to Chemistry, and 30 students from Chemistry switch to Biology, what will be the new difference between the number of students studying Physics and Chemistry?

  1. ((a))

    25

  2. ((b))

    35

  3. ((c))

    45

  4. ((d))

    55

  5. ((e))

    65

Show Answer
Answer: ((a))

25

70

What approximate value should come in the place of question mark (?) in the following question?

49.99 × 11.99 − 33.94 × 11.11 = (34.99 + ?) × 5.05

  1. ((a))

    20

  2. ((b))

    5

  3. ((c))

    10

  4. ((d))

    15

  5. ((e))

    25

Show Answer
Answer: ((a))

20

71

What approximate value should come in the place of question mark (?) in the following question?

(458.99 + 24.95)1/2 ÷ 10.99 = (0.1 × ?) ÷ 2.122

  1. ((a))

    60

  2. ((b))

    40

  3. ((c))

    120

  4. ((d))

    100

  5. ((e))

    80

Show Answer
Answer: ((a))

60

72

What approximate value should come in place of question mark (?) in the following question?

? = [723.99 + (1998.970 ÷ 4.795)1/2 ÷ 4.0019]1/2

  1. ((a))

    22

  2. ((b))

    17

  3. ((c))

    27

  4. ((d))

    37

  5. ((e))

    31

Show Answer
Answer: ((a))

22

73

What approximate value should come in place of question mark (?) in the following question?

59.98% of 719.99 + 524.99 – 2999.98 ÷ 6.071 = ?

  1. ((a))

    432

  2. ((b))

    457

  3. ((c))

    435

  4. ((d))

    423

  5. ((e))

    412

Show Answer
Answer: ((a))

432

74

What approximate value should come in the place of question mark (?) in the following question?

66.97% of ? + 30.99% of 1499.99 = 799.99

  1. ((a))

    400

  2. ((b))

    300

  3. ((c))

    600

  4. ((d))

    500

  5. ((e))

    700

Show Answer
Answer: ((a))

400

75

What approximate value should come in the place of question mark (?) in the following question?

39.99% of 1199 + 95.99 ÷ 15.98 = 5.98 × ?

  1. ((a))

    72

  2. ((b))

    81

  3. ((c))

    64

  4. ((d))

    108

  5. ((e))

    56

Show Answer
Answer: ((a))

72

76

Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.

Quantity A - Two digit number. When the digits of this number are reversed, it increases by 18.

Quantity B - Profit percent. A discount of 5% is given while the marked price is Rs. 5400. Cost price is Rs. 4000.

  1. ((a))

    Quantity A ≥ Quantity B

  2. ((b))

    Quantity A ≤ Quantity B

  3. ((c))

    Quantity A = Quantity B or no relationship can be established

  4. ((d))

    Quantity A > Quantity B

  5. ((e))

    Quantity A < Quantity B

Show Answer
Answer: ((a))

Quantity A ≥ Quantity B

77

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for both quantities and choose the correct option.

Quantity A: If the average of five consecutive numbers is 32, find the fifth number.

Quantity B: Find the average of 7 consecutive even numbers starting from 26?

  1. ((a))

    Quantity A > Quantity B

  2. ((b))

    Quantity A < Quantity B

  3. ((c))

    Quantity A ≥ Quantity B

  4. ((d))

    Quantity A ≤ Quantity B

  5. ((e))

    Quantity A = Quantity B

Show Answer
Answer: ((a))

Quantity A > Quantity B

78

A vessel is full of milk. One quarter of the pure milk is replaced with water. Again 20 litres of mixture is taken out and 15 litres of pure milk is added. The concentration of milk in the final mixture is 80%. Find the quantity of pure milk initially.

  1. ((a))

    80 L

  2. ((b))

    75 L

  3. ((c))

    72 L

  4. ((d))

    70 L

  5. ((e))

    45 L

Show Answer
Answer: ((a))

80 L

79

Average of the ages of A, B and C is 36 years. If the present age of A is 33(1/3)% more than the present age of C. And 6 years hence the ratio of the ages of A and B is 14 : 17, then find the ratio of the age of C and B after 10 years ?

  1. ((a))

     27: 47 

  2. ((b))

     55 : 37

  3. ((c))

     17 : 45

  4. ((d))

     45 : 27

  5. ((e))

     37 : 55

Show Answer
Answer: ((a))

 27: 47 

80

The speed of a boat in still water is 6 km/h and the speed of the stream is 1.5 km/h. A man rows to a place at a distance of 22.5 km and comes back to the starting point. Find the total time taken by him

  1. ((a))

    5 hrs 

  2. ((b))

    4 hrs 

  3. ((c))

    7 hrs 

  4. ((d))

    8 hrs 

  5. ((e))

    None of these

Show Answer
Answer: ((a))

5 hrs 

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