Official Paper

ACC 124 GMAT Paper (Held in Feb 2021) (Previous Year Paper)

150 questions · 180 minutes · with answers · free

Attempt as Timed Mock Test

Reasoning Ability (90 questions)

1

Choose the correct analogy.

Aeroplane : Aerodrome: : ?

  1. ((a))

    Car : Garage

  2. ((b))

    Roots : Tree

  3. ((c))

    Blood : Veins

  4. ((d))

    Traffic : Road

Show Answer
Answer: ((a))

Car : Garage

Given,

Aeroplane : Aerodrome : : ?

Here we see aerodrome is the place where flight operations take place. Similarly, cars related operation takes place in the garage.

Hence, the correct answer is Car : Garage.

2

Brain : Skull :: Heart : ?

  1. ((a))

    Pericardium

  2. ((b))

    Head

  3. ((c))

    Skull

  4. ((d))

    Cranium

Show Answer
Answer: ((a))

Pericardium

The logic followed here is:

Second is a body protective covering for the first.

Skull protects the brain.

Similarly pericardium is the outer layer that protects the heart.

Hence, the correct answer is Pericardium.

Additional Information

  • The pericardium is the outer most covering of the Heart.
  • The cranium is made up of cranial bones (bones that surround and protect the brain) and facial bones (bones that form the eye sockets, nose, cheeks, jaw, and other parts of the face). An opening at the base of the cranium is where the spinal cord connects to the brain. Also called skull.

Confusion Points

  • Skull provides structure to your head and face while also protecting your brain. The bones in your skull can be divided into the cranial bones, which form your cranium, and facial bones, which make up your face.
3

ACEG : IKMO :: PRTV : ?

  1. ((a))

    QRUW

  2. ((b))

    JLMP

  3. ((c))

    WXAX

  4. ((d))

    XZBD

Show Answer
Answer: ((d))

XZBD

Given,

ACEG : IKMO :: PRTV : ?

The pattern followed here is,

Hence, the correct answer is XZBD.

4

Iron : Fe :: Silver : ?

  1. ((a))

    Na

  2. ((b))

    CI

  3. ((c))

    Ag

  4. ((d))

    K

Show Answer
Answer: ((c))

Ag

Given,

Iron : Fe :: Silver : ?

Here we see Fe is the chemical symbol for Iron similarly for Silver the chemical symbol is Ag.

Hence, the correct answer is Ag.

5

? : Horse :: Board : Train 

  1. ((a))

    Stable

  2. ((b))

    Shoe

  3. ((c))

    Ride

  4. ((d))

    Mount

Show Answer
Answer: ((c))

Ride

Given,

? : Horse :: Board : Train 

Here we see we board the train similarly we ride the horse.

Hence, the correct answer is Ride.

6

? : Climb :: Recession : Withdrawl

  1. ((a))

    Ascent

  2. ((b))

    Absence

  3. ((c))

    Dollar

  4. ((d))

    Absorption

Show Answer
Answer: ((a))

Ascent

Given,

? : Climb :: Recession : Withdrawl

Here we see the synonym of withdrawl is recession similarly ascent is the synonym of climb.

Hence, the correct answer is Ascent.

7

.? : Play : : Sing : Anthem

  1. ((a))

    Act

  2. ((b))

    Scene

  3. ((c))

    Theatre

  4. ((d))

    Field

Show Answer
Answer: ((a))

Act

Given,

.? : Play : : Sing : Anthem

Here the relation is as we sing an anthem similarly we act a play.

Hence, the correct answer is Act.

8

Stars : Astronomy : : ? : History

  1. ((a))

    Battles

  2. ((b))

    Eclipse

  3. ((c))

    Horse

  4. ((d))

    Autumn

Show Answer
Answer: ((a))

Battles

Given,

Stars : Astronomy : : ? : History

Here we see stars are related to Astronomy similarly Battles are related to History.

Hence, the correct answer is Battles.

9

In these questions, a few complete messages are given in a coded language. Based on it find the code for a particular word.

If 123 stands for 987, 584 stands for ___?

  1. ((a))

    526

  2. ((b))

    485

  3. ((c))

    876

  4. ((d))

    None of these

Show Answer
Answer: ((a))

526

Given,

123 stands for 987

10 - 1 = 9 10 - 2 = 8 10 - 3 = 7

Similarly,

584 stands for 526.

10  - 5 = 5 10 - 8 = 2 10 - 4 = 6

Hence, the correct answer is 526.

10

If 2 = 5, 4 = 18, 6 = 39, then 8 = ?

  1. ((a))

    43

  2. ((b))

    58

  3. ((c))

    68

  4. ((d))

    103

Show Answer
Answer: ((c))

68

Given,

2 = 5, 4 = 18, 6 = 39.

The pattern here is,

2 = 22 + 1 = 5

4 = 42 + 2 = 18

6 = 62 + 3 = 39

Similarly,

8 = 82 + 4 = 68

Hence, the correct answer is 68.

11

If Orange is called Butter, Butter is called Soap, Soap is called Ink, Ink is called Honey and Honey is called Orange. Which of the following is used for writing?

  1. ((a))

    Honey

  2. ((b))

    Butter

  3. ((c))

    Orange

  4. ((d))

    Ink

Show Answer
Answer: ((a))

Honey

From the given information;

WordCalled
OrangeButter
ButterSoap
SoapInk
InkHoney
HoneyOrange

Here, we see to write we use ink, and ink is called honey.

Hence, the correct answer is Honey.

12

If MADRAS = NBESBT, BOMBAY = ?

  1. ((a))

    CPNCBX

  2. ((b))

    CPNCBZ

  3. ((c))

    CPOCBZ

  4. ((d))

    CQOCBZ

Show Answer
Answer: ((b))

CPNCBZ

We know,

Given,

MADRAS = NBESBT

The pattern followed here is,

Hence, the correct answer is CPNCBZ.

13

If 'L'  stands for '+' , 'M' stands for '-', N stands for 'x', P stands for '÷' then 14 N 10 L 42 P 2 M 8 = ??

  1. ((a))

    153

  2. ((b))

    216

  3. ((c))

    248

  4. ((d))

    251

Show Answer
Answer: ((a))

153

Given,

'L'  stands for '+' , 'M' stands for '-', N stands for 'x', P stands for '÷'

⇒ 14 N 10 L 42 P 2 M 8 = ??

⇒ 14 x 10 + 42 ÷ 2 - 8 = 140 + 21 - 8

= 161 - 8 = 153

  • Hence, the correct answer is 153.
14

If HAT is coded as 'jcv' then what will GUN be coded as?

  1. ((a))

    iwp

  2. ((b))

    ikm

  3. ((c))

    kip

  4. ((d))

    klp

Show Answer
Answer: ((a))

iwp

Given,

HAT is coded as 'jcv'

The pattern followed here is,

Hence, the correct answer is iwp.

15

In a certain code, '247' means 'spread red carpet' ; '236' means 'dust one carpet' and '234' means 'one red carpet'. Which digit in that code means 'dust'?

  1. ((a))

    2

  2. ((b))

    3

  3. ((c))

    5

  4. ((d))

    6

Show Answer
Answer: ((d))

6

Given,

'247' means 'spread red carpet' ; '236' means 'dust one carpet' and '234' means 'one red carpet'.

The pattern followed here is,

Here we see the code for 'dust' is 6.

Hence, the correct answer is 6.

Note: The question has been modified as it was errorenous

16

If 'wall' is called 'window', 'window' is called 'door', 'door' is called 'floor', 'floor' is called 'roof' and 'roof' is called 'ventilator', what will a person stand on?

  1. ((a))

    Window

  2. ((b))

    Wall

  3. ((c))

    Floor

  4. ((d))

    Roof

Show Answer
Answer: ((d))

Roof

Given,

The wall is called a window, the window is called a door, the door is called floor, the floor is called roof and roof is called a ventilator

Here we know that the person will be standing on the floor and the floor is called the roof.

Hence, the correct answer is the roof.

DIRECTIONS: Study the diagrams carefully and answer the following questions:

In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.

17

Which represents boys who are swimmers, play football but are not tall?

  1. ((a))

    D

  2. ((b))

    E

  3. ((c))

    G

  4. ((d))

    J

Show Answer
Answer: ((c))

G

Given,

In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.

The letter that represents boys who are swimmers, play football but are not tall is,

The letter G represents boys who are swimmers, play football but are not tall.

Hence, the correct answer is G.

18

Which letter represents female tall persons who play football but dont swim?

  1. ((a))

    B

  2. ((b))

    A

  3. ((c))

    D

  4. ((d))

    I

Show Answer
Answer: ((a))

B

Given,

Given,

In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.

The letter that represents female tall persons who play football but don't swim are,

The letter B represents female tall persons who play football but don't swim.

Hence, the correct answer is B.

19

Boys who do not play football are swimmers?

  1. ((a))

    C

  2. ((b))

    D

  3. ((c))

    J

  4. ((d))

    H

Show Answer
Answer: ((c))

J

Given,

In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.

Boys who do not play football are swimmers are,

Here we see the Boys who do not play football are swimmers are represented by J.

Hence, the correct answer is J.

20

Which letter represents tall boys who are football players?

  1. ((a))

    C

  2. ((b))

    D

  3. ((c))

    G

  4. ((d))

    H

Show Answer
Answer: ((b))

D

Given,

In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.

The letter that represents tall boys who are football players is,

Here we see the letter D represents tall boys who are football players.

Hence, the correct answer is D.

Directions: 

Refer the following diagram and answer the question given below:

21

Which letter among the following is brave but neither intelligent nor handsome?

  1. ((a))

    Q

  2. ((b))

    R

  3. ((c))

    S

  4. ((d))

    P

Show Answer
Answer: ((a))

Q

Given,

The letter that represents brave but neither intelligent nor handsome is,

Here we see both Q and U represents brave but neither intelligent nor handsome., but Option has only Q

Hence, the correct answer is Q.

22

Which letter among the following is intelligent, handsome and brave?

  1. ((a))

    P

  2. ((b))

    Q

  3. ((c))

    R

  4. ((d))

    S

Show Answer
Answer: ((d))

S

Given,

The letter that represents  intelligent, handsome, and brave is,

∴ The letter that represents  intelligent, handsome and brave is S.

Hence, the correct answer is S.

23

Which letter among the following is intelligent but not brave or handsome

  1. ((a))

    T

  2. ((b))

    Q

  3. ((c))

    V

  4. ((d))

    U

Show Answer
Answer: ((a))

T

Given,

The letter among the option is intelligent but not brave or handsome is,

Here we see both P and T represents intelligent but not brave or handsome.

In option there is only T,

Hence, the correct answer is T.

24

Which letter among the following is only intelligent and brave?

  1. ((a))

    P

  2. ((b))

    Q

  3. ((c))

    R

  4. ((d))

    U

Show Answer
Answer: ((c))

R

Given,

The letter that represents only intelligent and brave is, intersection region of only Intelligent and brave,

∴ The letter that represents only intelligent and brave is R.

Hence, the correct answer is R.

DIRECTIONS: The following questions are based on inter - se ranking between two people or a group of people:

25

In a queue, from the front, Karthik is 10th while from behind the rank of Ajay is 25th. Sovu is present in the middle of the two. It is given that the total number of persons is 50. Then determine the rank of Sovu from the front.

  1. ((a))

    17

  2. ((b))

    19

  3. ((c))

    18

  4. ((d))

    20

Show Answer
Answer: ((c))

18

  1. Karthik is 10th while from behind the rank of Ajay is 25th.
  2. Sovu is present in the middle of the two.
  3. The Total number of person in the queue is 50.

Total number of person between Kartik and Ajay = 50 - (10 + 25) = 50 - 35 = 15

Sovu is the middle of these two it means 7 person between Sovu and Kartik and 7 person between Sovu and Ajay.

n Sovu and Kartik and 7 person between Sovu and Ajay.

So, Sovu's rank is 18th from the front.

 

Hence, the answer is 18.

26

Rank of Kikku is 3 from the top and 44 from the bottom of the list that shows qualified candidates. Fond the total number of qualified candidates.

  1. ((a))

    34

  2. ((b))

    36

  3. ((c))

    46

  4. ((d))

    33

Show Answer
Answer: ((c))

46

Total number of students qualified = Rank of Rikku from top + Rank of Rikku from bottom - 1 

= 3 + 44 - 1 

= 46

Hence, 46 is correct.

27

After the declaration of final result, Kumar found out that his rank is 6 below as that of Ashok, in a class having strength of 29. He also found out that from the last, his rank is 16th. Find out the rank of Ashok from the top?

  1. ((a))

    8th

  2. ((b))

    9th

  3. ((c))

    14th

  4. ((d))

    16th

Show Answer
Answer: ((a))

8th

Total number of students in a row = 29

Rank of Kumar from bottom = 16th 

Rank of Ashok from bottom = 16 + 6 = 22nd

Rank of Ashok from top = Total number of students - Rank of Ashok from bottom + 1 

= 29 - 22 + 1 

= 8th

Hence, 8th is correct.

28

In a row of boys, the rank of Mannu is 6th from the top and 12th from the bottom. Similarly in another row of boys, rank of raju is 5th from the top and 15th from the bottom. Calculate the total number of boys present in the two rows?

  1. ((a))

    38

  2. ((b))

    40

  3. ((c))

    36

  4. ((d))

    Inadequate data

Show Answer
Answer: ((c))

36

Consider the first row, in which Mannu is sitting.

Total number of boys in a row = Position of Mannu from top + Position of Mannu from bottom - 1

= 6 + 12 - 1 

= 17

Now, consider the second the row, in which Raju is sitting.

Total number of boys in a row = Position of Raju from top + Position of Raju from bottom - 1

= 5 + 15 - 1 

= 19

Thus, total number of boys in both the rows: 17 + 19 = 36

Hence, 36 is correct.

29

In a queue, Ramesh is 12th from the front while Mayank is 21st from the back and Mohan is just in the middle of the two. If there are 50 persons in the queue, what position does Mohan occupy from the front?

  1. ((a))

    20th

  2. ((b))

    21st

  3. ((c))

    22nd

  4. ((d))

    23rd

Show Answer
Answer: ((b))

21st

1. Ramesh is 12th from the front while Mayank is 21st from the back. 2. Mohan is just in the middle of the two. 3. There are 50 persons in the queue.

Person between Raman and Mayank = 50 - (12 + 21) = 50 - 33 = 17

Person between Ramesh and Mohan = 8

Person between Mayank and Mohan = 8

Position of Mohan from the front is = 12 + 8 + 1(Mohan) = 21st

Hence, the answer is 21st.

30

Shree is shorter than Nilima. Pratima is taller than Shree. Subhash is taller than Nilima but shorter than Habib. Nilima is taller than Pratima. Who will be in the middle, if they stand in a row according to height?

  1. ((a))

    Nilima

  2. ((b))

    Subhash

  3. ((c))

    Shree

  4. ((d))

    Pratima

Show Answer
Answer: ((a))

Nilima

Given statements:

Shree is shorter than Nilima ⇒ Nilima > Shree

Pratima is taller than Shree ⇒ Pratima > Shree

Subhash is taller than Nilima but shorter than Habib ⇒ Habib > Subhash > Nilima

Nilima is taller than Pratima ⇒ Nilima > Pratima

On combining the above statements:

Habib > Subhash > Nilima > Pratima > Shree

Thus, Nilima is in the middle, if they stand in a row.

Hence, Nilima is correct.

31

Among five friends, Mohan is older than Raju but not as old as Lalit. Lalit is older than Neelesh and Kabir. Neelesh is younger than Raju but not the youngest. Who is fourth in the ascending order of age?

  1. ((a))

    Mohan

  2. ((b))

    Raju

  3. ((c))

    Kabir

  4. ((d))

    Neelesh

Show Answer
Answer: ((a))

Mohan

Given statements: 

Mohan is older than Raju but not as old as Lalit ⇒ Lalit > Mohan > Raju

Lalit is older than Neelesh and Kabir ⇒ Lalit > Neelesh / Kabir

Neelesh is younger than Raju but not the youngest ⇒ Raju > Neelesh

On combining both the statements:

Lalit > Mohan > Raju > Neelesh > Kabir 

Thus, Mohan is the fourth in ascending order.

Hence, Mohan is correct.

32

There are six sticks - P, Q, R, S, T, U. Stick Q is shorter than U, but taller than R, S is the tallest. P is little shorter than R and little taller than T. Which stick is the smallest?

  1. ((a))

    P

  2. ((b))

    Q

  3. ((c))

    R

  4. ((d))

    T

Show Answer
Answer: ((d))

T

Given statements: 

Stick Q is shorter than U, but taller than R ⇒ U > Q > R

P is little shorter than R and little taller than T ⇒ R > P > T

S is the tallest.

On combining the statements ⇒ S > U > Q > R > P > T

Thus, stick T is the smallest.

Hence, T is correct.

DIRECTIONS: Results of class sixth were announced. Rubina and Begham stood at eight and ninth position respectively. Meher and Nasima ranked fifth and sixth positions respectively from the bottom. Due to calculation mistake fresh results were announced. This time Begham and Mehar exchanged their positions and consequently. Begham became fifteenth in the merit.

33

Rubina's position from the bottom is

  1. ((a))

    12

  2. ((b))

    13

  3. ((c))

    14

  4. ((d))

    18

Show Answer
Answer: ((a))

12

The initial position of Rubina from top = 8th

The initial position of Begham from top= 9th

The initial position of Meher from bottom = 5th

The initial position of Nasima from bottom = 6th

After exchanging the positions,

Begham exchanged the position with Meher,

Now, the position of Bhegam from the top implies the initial position of Meher from the top which is 15th.

So,

Total students = Initial position of Meher from the top + Initial position of Meher from the bottom - 1

Total students = 15 + 5 -1 

Total students = 19

Rubina's current position from the bottom = total students - Rubina's current position from the top + 1

Rubina's current position from the bottom = 19 - 8 +1= 11 +1.

Hence, Rubina's position from the bottom is 12.

34

As per original results what was Nasima's position

  1. ((a))

    5

  2. ((b))

    13

  3. ((c))

    14

  4. ((d))

    16

Show Answer
Answer: ((c))

14

The initial position of Rubina from top = 8th

The initial position of Begham from top= 9th

The initial position of Meher from bottom = 5th

The initial position of Nasima from bottom = 6th

After exchanging the positions,

Begham exchanged the position with Meher,

Now, position of Bhegam from top implies the initial position of Meher from the top which is 15th.

So,

Total students = Initial position of Meher from the top + Initial position of Meher from the bottom - 1

Total students = 15 + 5 -1 

Total students = 19

Nasima's current position from the top = total students - Nasima's current position from bottom +1

Nasima's position from the top = 19 - 6 + 1 = 13 + 1

Hence, the position of Nasima is 14th.

35

DIRECTIONS: The following question is based on the relationship between different people and aspects related to those relationships:

Deepak said to Arun, "That boy in the photograph is the younger of the two brothers of the daughter of my father's wife." How is the boy in the photograph related to Deepak?

  1. ((a))

    Son

  2. ((b))

    Cousin

  3. ((c))

    Brother

  4. ((d))

    Nephew

Show Answer
Answer: ((c))

Brother

Given:

"That boy in the photograph is the younger of the two brothers of the daughter of my (Deepak's) father's wife (Deepak's mother).

This means, Deepak has a brother and a sister.

Thus, the person in the photograph is Deepak's brother.

The family diagram is as follows:

Hence, Brother is correct.

DIRECTIONS: Read the following passage and then answer the questions based on the information given in the passage. 

In 1988 Mr and Mrs Sharma married and today they have two children, Saumya and Santosh. Their neighbours Mr and Mrs Dubey moved in to stay next to them in 1998. They had three children namely, Dolly, Deepak and Dinesh. In 2010, Deepak marries Saumya and they have two children Luv and Kush. Two years later, Dolly marries Guru who is also their neighbour and they two children lovely and Bunty.

36

How is Deepak related to Santosh?

  1. ((a))

    Nephew

  2. ((b))

    Brother

  3. ((c))

    Cousin

  4. ((d))

    Brother in law

Show Answer
Answer: ((d))

Brother in law

The below given diagram shows the relationship among members.

Deepak is the brother-in-law of Santosh.

Hence, brother-in-law is correct.

37

How is Santosh related to Kush?

  1. ((a))

    Maternal Uncle

  2. ((b))

    Aunt

  3. ((c))

    Cousin

  4. ((d))

    Brother in law

Show Answer
Answer: ((a))

Maternal Uncle

The below given diagram shows the relationship among members.

Santosh is the uncle of Kush.

Hence, Uncle is correct.

The following questions are based on relationship between different people and aspects related to those relationship:

38

Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife." How is the boy playing football related to Deepak?

  1. ((a))

    Son

  2. ((b))

    Brother

  3. ((c))

    Cousin

  4. ((d))

    Brother in law

Show Answer
Answer: ((b))

Brother

Given: 

Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife (Deepak's mother)."

The below given diagram shows the relationship.

The boy playing with the football is the brother of Deepak.

Hence, Brother is correct.

39

Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle." How is the boy related to the girl?

  1. ((a))

    Brother

  2. ((b))

    Nephew

  3. ((c))

    Uncle

  4. ((d))

    Son in law

Show Answer
Answer: ((a))

Brother

Given statement: Introducing a boy, a girl said, "He is the son of the daughter (girl's mother) of the father (girl's grandfather) of my (girl's) uncle''.

The below given diagram shows the relationship.

The boy is the brother of the girl.

Hence, Brother is correct.

40

Pointing to a photograph of a boy Suresh said, "He is the son of the only son of my mother." How is suresh related to that boy?

  1. ((a))

    Brother

  2. ((b))

    Uncle

  3. ((c))

    Cousin

  4. ((d))

    Father

Show Answer
Answer: ((d))

Father

Given:

Pointing to a photograph of a boy Suresh said, ''He is the son of the only son (Suresh) of my (Suresh's) mother''.

The below given diagram shows the relationship.

Suresh is the father of the boy in the photograph.

Hence, Father is correct.

DIRECTIONS: The following questions are based on the ability to perceive direction and distance:

41

Salim started to move in direction of west in an open field and stopped after moving 5km. Now he turned to his left - hand side and moved 15 km. How much total distance he has to cover to reach his starting point?

  1. ((a))

    25 Km

  2. ((b))

    20 Km

  3. ((c))

    30 Km

  4. ((d))

    15 Km

Show Answer
Answer: ((b))

20 Km

The below given diagram shows the direction of Salim:

Total distance covered by him to reach the starting point = 5 km + 15 km = 20 km

Hence, 20 km is correct.

42

Mamta walks 14 meters towards West, then turns to her right and walks 14 meters and then turns to her left and walks 10 meter. Again, turning to her left she walks 14 meters. What is the shortest distance between her starting point and the end position?

  1. ((a))

    38 m

  2. ((b))

    28 m

  3. ((c))

    24 m

  4. ((d))

    10 m

Show Answer
Answer: ((c))

24 m

The below given diagram shows the direction of Mamta:

Total distance between Mamta's starting point and end point = 10 m + 14 m = 24 m

Hence, 24 m is correct.

43

Prakash starts walking from a point A towards South. After walking 40 meters, he took a left turn. He then walked 30 meters and reached a point B. What is the total distance between A and B and B is towards which direction of A?

  1. ((a))

    70 m SE

  2. ((b))

    50 m SW

  3. ((c))

    50 m SE

  4. ((d))

    70 m SW

Show Answer
Answer: ((a))

70 m SE

The below given diagram shows the directions of Prakash.

Distance between A and B = 40 m + 30 m = 70 m

B is towards the South West of A.

Hence, 70 m SE is correct.

44

Mohan was going to the office in the morning and met his friend Sohan on the way. Their cars came close and stood opposite each other' car. If Mohan's car shadow was on its driver side, which direction was Sohan's car facing?

  1. ((a))

    East

  2. ((b))

    West

  3. ((c))

    North

  4. ((d))

    South

Show Answer
Answer: ((c))

North

In the morning, the Sun will be in the east and its shadow will be in the west.

Thus, Mohan's car must be towards the south direction. And, opposite to the will be Sohan's car i.e. North direction.

Hence, North is correct.

45

In a game of carrom, Akhilesh and Brijesh are sitting opposite. Dayasagar faces towards North. If Akhilesh  faces towards West, then who faces towards South?

  1. ((a))

    Akhilesh

  2. ((b))

    Brijesh

  3. ((c))

    Dayasagar

  4. ((d))

    None of them

Show Answer
Answer: ((d))

None of them

Persons sitting around the carrom are shown in the below given diagram.

We can see that no one is facing south from the given persons.

Hence, None of the above is correct.

46

A child went 90 m towards the East to look for his father, then he turned right and went 20 m. After this he turned right and after going 30 m he reached his uncle's house. His father was not there. From there he went 100 m to his north and met his father. How far did he travel to meet his father from the starting point? (shortest distance)

  1. ((a))

    80 m

  2. ((b))

    100 m

  3. ((c))

    170 m

  4. ((d))

    260 m

Show Answer
Answer: ((b))

100 m

The diagram shows the direction of the child.

Shortest Distance between the starting point and the point where the child met his father:

= [(60)2 + (80)2]1/2

= [3600 + 6400]1/2

= [10000]1/2

=100 m

Hence, 100 m is correct.

47

P started from his house towards the west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right and walked 15 m. After this, he is to turn at 135° clockwise direction and to cover 30 m. In which direction should he go?

  1. ((a))

    West

  2. ((b))

    South

  3. ((c))

    South West

  4. ((d))

    South East

Show Answer
Answer: ((c))

South West

  1. P started from his house towards the west.
  2. After walking a distance of 25 m. He turned to the right and walked 10 m.
  3. He then again turned to the right and walked 15 m. After this, he is to turn at 135° clockwise direction and to cover 30 m.

Now, he is in South-west direction.

Hence, the answer is South-west.

48

A girl wants to go her school. She started from her house which was in the South and come to a crossing. The road to her right ended in a market, straight ahead was a cinema hall. In which direction was her school?

  1. ((a))

    South

  2. ((b))

    North

  3. ((c))

    East

  4. ((d))

    West

Show Answer
Answer: ((d))

West

A girl wants to go her school. She started from her house which was in the South and come to a crossing. The road to her right ended in a market, straight ahead was a cinema hall.

Her school was in the West direction.

Hence, the answer is West.

DIRECTIONS: In the following questions choose the correct alternative if:

(i) & means 'is greater than'

(ii) % means 'is lesser than'

(iii) > means 'is equal to'

(iv) = means 'is not equal to'

(v) @ means 'is a little more than'

(vi) # means 'is a little less than'

49

If ac & bd and ab > cd, then

  1. ((a))

    c & b

  2. ((b))

    b > a

  3. ((c))

    a % c

  4. ((d))

    Can't say

Show Answer
Answer: ((a))

c & b

According to the given information,

Symbol&%>=@#
Meaning><=≠><

 

 

 

Given: ac & bd and ab > cd

After decoding symbols:

ac > bd and ab = cd

ac > bd

( {a \over d}) > ({b\over c})......(1)

ab = cd

( {a\over d}) = ({c\over b})  .......(2)

By equation (1) and (2)

({c\over b}) > ({b\over c})

c2 > b2

c > b

Hence, c & b is the correct answer.

50

If ba > ac, then

  1. ((a))

    a = c

  2. ((b))

    b > c

  3. ((c))

    a = b

  4. ((d))

    All of them

Show Answer
Answer: ((b))

b > c

According to the given information,

Symbol&%>=@#
Meaning><=≠><

 

 

 

Given : ba > ac

After decoding,

ba = ac

Imply that b > c

Hence, b > c is the correct answer.

51

If c % b and b # a, then

  1. ((a))

    a & c

  2. ((b))

    c @ a

  3. ((c))

    b > c

  4. ((d))

    c > a

Show Answer
Answer: ((a))

a & c

According to the given information,

Symbol&%>=@#
Meaning><=≠><

 

 

 

Coded statement: c % b and b # a

Decoded statement: c < b and b < a

Combined statement: c < b < a

Thus, a > c is true.

Hence, a & c is correct.

52

If a = b and b # c, then

  1. ((a))

    c & a

  2. ((b))

    b % a

  3. ((c))

    a & c

  4. ((d))

    Can't say

Show Answer
Answer: ((d))

Can't say

According to the given information,

Symbol&%>=@#
Meaning><=≠><

 

 

 

Given statement: a = b and b # c

Decoded statement: a ≠ b and b < c

Combined statement: a ≠  b < c

Here, we don't know the exact value of 'a'. Thus, we can't say anything about 'a'.

Hence, Can't say is correct.

53

If c @ a and a @ b, then

  1. ((a))

    b & a

  2. ((b))

    c @ b

  3. ((c))

    b @ a

  4. ((d))

    Can't say

Show Answer
Answer: ((b))

c @ b

According to the given information,

Symbol&%>=@#
Meaning><=≠><

 

 

 

Coded statement: c @ a and a @ b

Decoded statement: c > a and a > b

Combined statement: c > a > b

Thus, c > b is true.

Hence, c @ b is correct.

54

If a % b and b > c, then

  1. ((a))

    a % c

  2. ((b))

    c % a

  3. ((c))

    c > a

  4. ((d))

    Can't say

Show Answer
Answer: ((a))

a % c

According to the given information,

Symbol&%>=@#
Meaning><=≠><

 

 

 

Coded statement: a % b and b > c

Decoded statement: a < b and b = c

Combined statement: a < b = c

Thus, a < c is true.

Hence, a % c is correct.

DIRECTIONS: In each of the following questions, the sign of the equations are replaced by each other as per the following. Answer the questions that follow.

(i) + means -

(ii) - means × 

(iii) × means ÷

(iv) ÷ means +

55

5 ÷ 5 × 5 + 5 = ?

  1. ((a))

    5

  2. ((b))

    -5

  3. ((c))

    0

  4. ((d))

    None of the above

Show Answer
Answer: ((d))

None of the above

Given codes:

Symbol+-×÷
Meaning-×÷+

 

 

 

 

Given equation: 5 ÷ 5 × 5 + 5 = ?

Decoded equation: 5 + 5 ÷ 5 - 5 

= 5 + 1 - 5

= 6 - 5 

= 1

Hence, None of the above is correct.

56

28 ÷ 5 - 3 × 1 + 7 = ?

  1. ((a))

    36

  2. ((b))

    44

  3. ((c))

    43

  4. ((d))

    45

Show Answer
Answer: ((a))

36

Given codes:

Symbol+-×÷
Meaning-×÷+

 

 

 

Given equation: 28 ÷ 5 - 3 × 1 + 7 = ?

Decoded equation: 28 + 5 × 3 ÷ 1 - 7

28 + 5 × 3 - 7

28 + 15 - 7

43 - 7

36

Hence, 36 is correct.

The following questions are based on time, day and date, calender and clock.

57

Two people A and B are at a distance of 260 km from each other at 9:00 a.m. A immediately starts moving towards B at a speed of 25 km/h and at 11:00 a.m. B starts moving towards A at a speed of 10 km/hr. At what time (in p.m.) will they meet each other?

  1. ((a))

    5:00 p.m.

  2. ((b))

    6:00 p.m.

  3. ((c))

    6:30 p.m.

  4. ((d))

    7:00 p.m.

Show Answer
Answer: ((a))

5:00 p.m.

Distance covered by A in 2 hours = 25 km/hr × 2 hrs = 50 km

This means, he would have covered 50 km till 11:00 a.m.

Remaining distance between A and B = 260 km - 50 km = 210 km

B starts his journey at 11:00 a.m. and both are moving towards each other.

Thus, relative speed of A and B = 25 km/her + 10 km/hr = 35 km/hr

Time taken to meet A and B = Distance / Speed 

= 210 km / 35 km 

= 6 hours

The time, when A and B will meet be 11:00 a.m. + 6 hours = 5:00 p.m.

Hence, 5:00 p.m. is correct.

58

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock 2 o'clock in the afternoon?

  1. ((a))

    360

  2. ((b))

    180

  3. ((c))

    90

  4. ((d))

    60

Show Answer
Answer: ((b))

180

At 8 o'clock in the morning, the hour hand will be at 8.

At 2 o'clock in the afternoon, the hour hand will be at 2.

In one hour the hour hand rotates 30 degrees.

8 o'clock morning to 2 o'clock afternoon = 6 hrs

Therefore the hour hand rotate = 6 × 30 

= 180 degree

Hence, 180 is correct.

NOTE-

The hour hand at 8:00 and 2:00 makes a linear pair, which is of 180 degrees.

59

Today on Tuesday Japan's FM reached India for a bilateral talk and India's FM will go to Japan after 45 days. On which day will India's FM go to Japan?

  1. ((a))

    Monday

  2. ((b))

    Tuesday

  3. ((c))

    Friday

  4. ((d))

    Wednesday

Show Answer
Answer: ((c))

Friday

Given:

Today, the day on which Japan's FM reached India is Tuesday.

First, we will find number of odd days in these 45 days.

(45 ÷ 7) = 3 (Remainder)

Thus, odd days in these 45 days = 3.

Thus, the day when India's FM will go to japan: Tuesday + 3 odd days i.e. Friday.

Hence, Friday is correct.

60

Today, it is Friday, what will be the day after 91 days?

  1. ((a))

    Sunday

  2. ((b))

    Tuesday

  3. ((c))

    Friday

  4. ((d))

    Wednesday

Show Answer
Answer: ((c))

Friday

Given:

Today, it is Friday. We have to find the day after 91 days.

First, we will find number of odd days in these 91 days.

(91 ÷ 7) = 0 (Remainder)

Thus, odd days in these 91 days is 0.

Thus, the day after 91 days will be: Friday + 0 = Friday.

Hence, Friday is correct.

61

If 30th of a month is three days after Monday then what will be the day on 30th?

  1. ((a))

    Saturday

  2. ((b))

    Friday

  3. ((c))

    Thursday

  4. ((d))

    Wednesday

Show Answer
Answer: ((c))

Thursday

30th of the month is three days after Monday.

This means, the day on 30th will be: Monday + 3 days = Thursday

Hence, Thursday is correct.

62

If the World Trade Center attacked on Tuesday, what was the day on Indian Independence Day that year?

  1. ((a))

    Monday

  2. ((b))

    Friday

  3. ((c))

    Tuesday

  4. ((d))

    Wednesday

Show Answer
Answer: ((d))

Wednesday

The World Trade Center attacked on 11th September 2001 

It means 11th September 2001 is - Tuesday

First, we will calculate the days between 15th August 2001 and 11th September 2001 i.e. 27 days.

Then, we will calculate the number of odd days in these 27 days = 27/7 =. 6(Remainder) odd days.

Thus, the day on 11th September 2001: Tuesday - 6 odd days = Wednesday

Hence, Wednesday is correct.

63

If Christmas was celebrated on a Friday, then on what day will be Republic day of next year be celebrated?

  1. ((a))

    Monday

  2. ((b))

    Tuesday

  3. ((c))

    Thursday

  4. ((d))

    Friday

Show Answer
Answer: ((b))

Tuesday

As we know that 25th December is Christmas. 

According to the question 25th December - Friday

First, we will calculate the days between 25th December and 26th January = 6 + 26 =.32 days.

Then, we will calculate the number of odd days in these 32 days = 32/7 =. 4 (Remainder) odd days.

Thus, the day on 26th January : Friday + 4 odd days = Tuesday

Hence, Tuesday is correct.

64

If 3rd December, 2000 falls on Sunday then what will be the day on 3rd January, 2001?

  1. ((a))

    Sunday

  2. ((b))

    Monday

  3. ((c))

    Tuesday

  4. ((d))

    Wednesday

Show Answer
Answer: ((d))

Wednesday

Given:

3rd December 2000 - Sunday

First, we will calculate the days between 3rd December 2000 and 3rd January 2001 = 28 + 3 = 31 days.

Then, we will calculate the number of odd days in these 31 days = 31/7 =. 3 (Remainder) odd days.

Thus, the day on 3rd January 2001: Sunday + 3 odd days = Wednesday

Hence, Wednesday is correct.

DIRECTIONS: In each of the following series determine the order of the letters/numbers. Then from the given options select the one which will complete the given series.

65

2, A, 9, B, 6, C, 13, D, ?

  1. ((a))

    9

  2. ((b))

    10

  3. ((c))

    12

  4. ((d))

    19

Show Answer
Answer: ((b))

10

Given series: 2, A, 9, B, 6, C, 13, D, ?

There are two series, one is of numbers and other is of letters.

Number series: 2, 9, 6, 13, ?

Letter series: A, B, C, D

2 + 7 = 9

9 - 3 = 6

6 + 7 = 13

13 - 3 = 10

Hence, 10 is the correct. answer

66

CA, EE, GH, IL, KO, ?

  1. ((a))

    RM

  2. ((b))

    MA

  3. ((c))

    MS

  4. ((d))

    MR

Show Answer
Answer: ((c))

MS

Given series: CA, EE, GH, IL, KO, ?

Pattern:

Hence, MS is the correct answer.

67

2, 4, 8, 16, 32, ?

  1. ((a))

    50

  2. ((b))

    54

  3. ((c))

    64

  4. ((d))

    58

Show Answer
Answer: ((c))

64

Given series: 2, 4, 8, 16, 32, ?

2 × 2 = 4

4 × 2 = 8

8 × 2 = 16 

16 × 2 = 32 

32 × 2 = 64

Hence, 64 is correct.

68

2, 5, 10, 17, 26, ?

  1. ((a))

    45

  2. ((b))

    42

  3. ((c))

    40

  4. ((d))

    37

Show Answer
Answer: ((d))

37

Given series: 2, 5, 10, 17, 26, ?

2 + 3 = 5

5 + 5 = 10

10 + 7 = 17 

17 + 9 = 26

26 + 11 = 37

Hence, 37 is correct.

69

1, 4, 9, 16, 25, ?

  1. ((a))

    30

  2. ((b))

    36

  3. ((c))

    44

  4. ((d))

    40

Show Answer
Answer: ((b))

36

Given series: 1, 4, 9, 25, ?

Pattern: The given series is a square of natural numbers.

(1)2 = 1

(2)2 = 4

(3)2 = 9 

(4)2 = 16

(5)2 = 25

(6)2 = 36

Hence, 36 is correct.

70

E8Y, J27T, O64O, ?

  1. ((a))

    T125J

  2. ((b))

    T25J

  3. ((c))

    T625O

  4. ((d))

    T625J

Show Answer
Answer: ((a))

T125J

Given: E8Y, J27T, O64O, ?

The logic is as,

Hence, T125J is correct.

71

BC5, EF11, HI17, KL23, NO29, ?

  1. ((a))

    PQ35

  2. ((b))

    PQ33

  3. ((c))

    QR33

  4. ((d))

    QR35

Show Answer
Answer: ((d))

QR35

Given: BC5, EF11, HI17, KL23, NO29, ?

The logic is as:

Hence, QR35 is correct.

72

AZNP, ?, DWQP, FUTP, GTXP, IRCP

  1. ((a))

    BXOP

  2. ((b))

    CXOP

  3. ((c))

    BYPP

  4. ((d))

    CYPP

Show Answer
Answer: ((b))

CXOP

Given series:

AZNP, ?, DWQP, FUTP, GTXP, IRCP

The logic is as:

Hence, CXOP is correct.

73

V, A, H, ?

  1. ((a))

    M

  2. ((b))

    N

  3. ((c))

    P

  4. ((d))

    Q

Show Answer
Answer: ((d))

Q

Given series: V, A, H, ?

The logic is as,

V + 5 = A

A + 7 = H

H + 9 = Q

Hence, Q is correct.

74

PBD, REH, THL, ?

  1. ((a))

    VKP

  2. ((b))

    STK

  3. ((c))

    RST

  4. ((d))

    PRT

Show Answer
Answer: ((a))

VKP

In this question shows that first letter of the word add 2 and second letter of the word add 3 and third letter of the word add 4 then we get the answer VKP.

Hence, option 1 is the correct answer.

75

0, 4, 16, 40, 80, 140, ?

  1. ((a))

    240

  2. ((b))

    224

  3. ((c))

    336

  4. ((d))

    504

Show Answer
Answer: ((b))

224

The logic are given bellow

Hence, option 2 is the correct answer.

DIRECTIONS: Choose the next logical figure from the given alternatives.

76

 

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((a))

1

The given figure are

In above figure B is the water image of figure A. 

Similarly, figure C is the mirror image of figure D which are given bellow

Hence, option 1 is the correct answer.

77

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((c))

3

The given figure are given bellow

In this figure (A) three lines are cut and inverted to the opposite side in figure (B).  The dots are at same place.

Similarly, in figure (C) two lines are cut and inverted to the opposite side in figure (B).  The dots are at same place.

Hence, option 3 is the correct answer.

78

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((a))

1

The given figure are

After observation the figure is 

Hence, option 1 is the correct answer.

79

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((a))

1

The given figure are

After observation of the figure we fill that figure

Hence, option 1 is the correct answer.

80

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((c))

3

The given figure are

After the observation the next figure are 

Hence, option 3 is the correct answer.

81

DIRECTIONS: In each of the following questions one of the figures is different from the rest. Spot the figure.

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((a))

1

In this question the figure are

In the figure 1 all line with corner point but in figure 2, 3 and 4 all lines are with plane side. So (a) 1 is different from others.

Hence, option 1 is the correct answer.

82

DIRECTIONS: In each of the following questions one of the figures is different from the rest. Spot the figure.

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((a))

1

The given figure are 

In the figure 1 the arrow present at third line from large line but in figure 2, 3 and 4 the arrow present at fourth line from the large line.

Hence, option 1 is the correct answer.

83

DIRECTIONS: In each of the following questions one of the figures is different from the rest. Spot the figure.

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((d))

4

The given figure are 

In this figure 4 horizontal line are plane line but in figure 1, 2 and 3 the vertical line are plane line.

Hence, option 4 is the correct answer.

84

DIRECTIONS: In each of the following questions one of the figures is different from the rest. Spot the figure.

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((a))

1

The given figure are

In figure 1 total number of lines closed in a shape from outer diagram to inner diagram:  are 5, 4, 6  (not in sequence or uniform pattern of increasing or decreasing)

in figure 2 total number of lines from outer diagram to inner diagram:  5, 4, 3 (Uniform pattern of decreasing)

in figure 3 total number of line from outer diagram to inner diagram :  3, 4, 5  (Uniform pattern of increasing)

in  figure 4 total number of lines from outer diagram to inner diagram :  6, 5, 4  (Uniform pattern of decreasing)

So we can say that in figure 2, 3 and 4 all number of line either increasing or decreasing order but in option 1 there is no order. So figure 1 is different from others.

Hence, option 1 is the correct answer.

85

DIRECTIONS: In each of the following questions one of the figures is different from the rest. Spot the figure.

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((d))

4

The given figure are

In figure 1, 2 and 3 has + shape but no square shape present but in figure 4 square shape is present but no + Shape.

Hence, option 4 is the correct answer.

86

DIRECTIONS: Choose the missing numbers with logic.

Find the next logical number from the given alternatives.

  1. ((a))

    6

  2. ((b))

    7

  3. ((c))

    8

  4. ((d))

    9

Show Answer
Answer: ((c))

8

The given figure  are 

The logic is:

add all the number in the sectors of circle except the middle one/ number of sectors = middle number

In the figure 1, 

number of sectors = 4

3 + 8 + 7 + 2 = 20/ 4 = 5

In figure 2:

number of sectors = 5

6 + 4 + 8 + 5 + 7 = 30/5 = 6

Similarly,

Figure 3:

number of sectors = 6

9 + 7 + 8 + 9 + 7 + 8 = 48/6 = 8

Hence, option 3 is the correct answer.

87

Find the missing number in the third figure.

  1. ((a))

    4

  2. ((b))

    5

  3. ((c))

    6

  4. ((d))

    7

Show Answer
Answer: ((a))

4

In the figure a 

(9 + 8) - ( 5 + 6) = 17 - 11 = 6

In the figure b

(8 + 3) - ( 2 + 1) = 11 - 3 = 8

Similarly, in the figure c

(6 + 7) - ( 4 + 5) = 13 - 9 = 4

Hence, option 1 is the correct answer.

88

Find the missing number.

  1. ((a))

    7

  2. ((b))

    8

  3. ((c))

    9

  4. ((d))

    10

Show Answer
Answer: ((b))

8

We add first triangle two number and second triangle two number and we get first triangle resultant-

5 + 3 + 1 + 4 = 13

We add second triangle two number and third triangle two number and we get second triangle resultant-

1 + 4 + 2 + 7 = 14

Similarly,

we add the fourth and Fifthh triangle to get the resultant  of fourth triangle,

3 + ? + 4 + 3 = 18

? + 10 = 18

? = 18 - 10

? = 8

Hence, option 2 is the correct answer.

89

  1. ((a))

    34

  2. ((b))

    12

  3. ((c))

    2

  4. ((d))

    1

Show Answer
Answer: ((d))

1

We add first row two number we get second row first number and we add first row last two number we get second row second number. We add second row number we get third row number. We add fourth row two number we get third row number. We add fifth row first two number we get fourth row first number and we add fifth row last two number we get fourth row second number -

13 + 4 = 17

4 + ? = 5 

? = 5 - 4

? = 1

Hence, option 4 is the correct answer.

90

  1. ((a))

    7

  2. ((b))

    9

  3. ((c))

    6

  4. ((d))

    1

Show Answer
Answer: ((c))

6

We add all the row number the we get 15.

9 + 1 + 5 = 15

4 + 8 + 3 = 15

Similarly,

2 + ? + 7 = 15

? = 15 - 9

? = 6.

Hence, option 3 is the correct answer.

Numerical Ability (60 questions)

91

In a low scoring T20 match the chasing team won by 10 wickets. the opener's age was 31 years and the first down was 11 years younger to him. The average of players who did not get their turn to bat is one year more than the overall average of the team. What is the average age of the team?

  1. ((a))

    30 years

  2. ((b))

    31 years

  3. ((c))

    32 years

  4. ((d))

    34 years

Show Answer
Answer: ((a))

30 years

Given

In a low scoring T20 match the chasing team won by 10 wickets. the opener's age was 31 years and the first down was 11 years younger to him. The average of players who did not get their turn to bat is one year more than the overall average of the team. 

Concept used

Average

Calculation

T20 match was won by 10 wickets means no wicket fall.

Only the opening and one down batsmen played throughout.

As per the question,

Let the average of whole team be x

⇒ (\frac{{11x\ -\ \left( {31\ +\ 20} \right)}}{9} = x + 1)

⇒ 11x - 51 = 9x + 9

⇒ 2x = 60

⇒ x = 60/2 = 30 years.

The average of whole team = 30 years.

92

An important project was to be submitted to the Headquarters. Clerk Sunil could type 40 pages in 8 hours whereas Clerk Abhishek could type 36 pages in 6 hours. If they start typing together on two different computers at 8:00 in the morning, then at what time will they finish the project of 121 pages?

  1. ((a))

    11:00 pm

  2. ((b))

    9:00 pm

  3. ((c))

    7:00 pm

  4. ((d))

    7:00 am

Show Answer
Answer: ((c))

7:00 pm

Given

An important project was to be submitted to the Headquarters. Clerk Sunil could type 40 pages in 8 hours whereas Clerk Abhishek could type 36 pages in 6 hours. If they start typing together on two different computers at 8:00 in the morning.

Concept used

Time and work

Calculation

Total work = n × Time 

nSunil = 40/8 = 5

nAbhishek = 36/6 = 6

⇒ 121 = (5 + 6) × t

⇒ t = 121/11

⇒ t = 11 hrs.

⇒ 8 : 00 am + 11 hrs = 7 : 00 p.m

93

A television of square shape of 21 inches, placed in the cook house was replaced by a new television of square size of 42 inches. What is the total screen surface area increase?

  1. ((a))

    100%

  2. ((b))

    200%

  3. ((c))

    300%

  4. ((d))

    400%

Show Answer
Answer: ((c))

300%

Given

A television of 21 inches placed in the cook house was replaced by a new television of 42 inches. 

Concept used

Percentage increase

Area of Square = (Side)2

Calculation

Area of Television

⇒ 21 × 21 = 441

Area of newly replaced television

⇒ 42 × 42

⇒ 1764

Change in area = 1764 - 441 = 1323

% increase = (\frac{{1323}}{{441}} × 100 = 300% )

∴ The percentage increase is 300%.

94

The Regiment fund of a unit has been invested into FD offering interest rate of 8% per annum compounded quarterly. If the initial investment was for Rupees 12 housand and the maturity amount was Rupees 19301, then find the time period of investment.

  1. ((a))

    2 years

  2. ((b))

    3 years

  3. ((c))

    4 years

  4. ((d))

    6 years

Show Answer
Answer: ((c))

4 years

Concept:

A = (\rm p[1 + \frac{r}{100}]^t )

A = total amount

P = principal amount

r = rate of interest

t = time 

For quarterly , we get

(\rm A = p[1 + \frac{r}{400}]^{4t} - P)

Concept:

Given: Total amount = 19301, Principal amount = 12000 and rate of interest = 8%

(\rm A = p[1 + \frac{r}{400}]^{4t} )

⇒ (\rm 19301 =12000[1 \ +\ \frac {8}{400}]^{4t} )

⇒ (\rm \frac {19301}{12000} =[1 \ +\ \frac {1}{50}]^{4t})

⇒ (\rm \frac {19301}{12000} =[\frac {51}{50}]^{4t})

We can take an approximation value of t 

⇒ 1.6084 = (1.02)4t

For t = 6 year

95

The roman notation for 510 is:

  1. ((a))

    CMX

  2. ((b))

    DC

  3. ((c))

    DX

  4. ((d))

    CDX

Show Answer
Answer: ((c))

DX

Given

Roman notation for 510

Calculation

Here 500 is denoted by D

10 is denoted by X

510 = DX

96

At an online shopping site, the discount on an item 40% by the manufacturer. Then on top of that site gave additional discount of 20%. While making the payment the Credit Card company gave further discount of 5% on the transaction. If one had to pay Rupees 246.24 for the item, what was the MRP of the item?

  1. ((a))

    500

  2. ((b))

    520

  3. ((c))

    540

  4. ((d))

    560

Show Answer
Answer: ((c))

540

Given

At an online shopping site, the discount on an item 40% by the manufacturer. Then on top of that site gave additional discount of 20%. While making the payment the Credit Card company gave further discount of 5% on the transaction. 

Concept used

Profit and loss

Calculation

Discount on the mark price of an article always gives us selling price.

First discount of 40% = 3/5

Second discount of 20% = 4/5

Third discount of 5% = 19/20

As per the question,

⇒ (246.24 = MRP \times \frac{3}{5} \times \frac{4}{5} \times \frac{{19}}{{20}})

⇒ MRP = Rs.540

97

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

  1. ((a))

    3

  2. ((b))

    4

  3. ((c))

    5

  4. ((d))

    6

Show Answer
Answer: ((c))

5

Given

A vendor bought toffees at 6 for a rupee.

Concept used

Profit and loss

Calculation

Cost price of 1 toffee = Rs.6

Selling price of 1 toffee = 120 % of Rs.1

SP = 6/5

Rs.6/5 toffees sold is six

For Rs.1 toffee sold = (6 × 5/6) = 5

98

One bus takes 7.5 h to move from A to B and another bus takes 9 h to move from A to C. If A is 300 km from B and 450 km from C, then find the ratio of the speeds of the two buses.

  1. ((a))

    2:3

  2. ((b))

    4:3

  3. ((c))

    4:5

  4. ((d))

    8:9

Show Answer
Answer: ((c))

4:5

Given

One bus takes 7.5 h to move from A to B and another bus takes 9 h to move from A to C. If A is 300 km from B and 450 km from C

Concept used

Time and distance

Calculation

Distance of A to B is 300 km.

Time taken by bus to move from A to B = 7.5 hours

Speed = 300/7.5

Speed = 40 km/hr

Distance of A to C is 450 km.

Time taken by bus to move from A to C = 9 hours

Speed = 450/9

Speed = 50 km/hr

Ratio of speed = 40 : 50

Ratio of speed = 4 : 5

99

The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number?

  1. ((a))

    1050

  2. ((b))

    1080

  3. ((c))

    1060

  4. ((d))

    1054

Show Answer
Answer: ((d))

1054

Given

The difference between 78% of a number and 59% of the same number is 323.

Concept used

Percentage

Calculation

As the number is same,

⇒ 78% - 59% = 19%

⇒ Given that difference of 19% = 323

1% = 323/19

⇒ 100% = 1700

As per the question,

⇒ 62% of 1700 

⇒ 62 × 17 = 1054

100

The greater ratio between 2 : 3 and 4 : 5 is

  1. ((a))

    2 : 3

  2. ((b))

    4 : 5

  3. ((c))

    Both are same

  4. ((d))

    Can't say

Show Answer
Answer: ((b))

4 : 5

Given

Two ratios 2 : 3 and 4 : 5

Concept used

Ratio and proportion

Calculation

⇒ 2 : 3 = 2/3 × 100 = 66.66

⇒ 4 : 5 = 4/5 × 100 = 80

Out of two 4 : 5 is greater ratio.

101

Rajesh is 10 years younger to Baskar, 10 years back, Rajesh's age was two thirds that of Baskar's. How old is Baskar now?

  1. ((a))

    30

  2. ((b))

    40

  3. ((c))

    20

  4. ((d))

    16

Show Answer
Answer: ((b))

40

Given

Rajesh is 10 years younger to Baskar, 10 years back, Rajesh's age was two thirds that of Baskar's. 

Concept used

Ratio and proportion

Calculation

Let the present age of Baskar be x years.

Rajesh's present age = x - 10

10 years back, Rajesh's age was two thirds that of Baskar's. 

⇒ (x - 20 = \frac{2}{3}\left( {x - 10} \right))

⇒ 3x - 60 = 2x - 20

⇒ x = 40

Baskar is of 40 years now.

102

How long will it take for a sum of money to grow from Rs. 1250 to Rs. 10,000, if it is invested at 12.5% p.a. simple interest?

  1. ((a))

    8 years

  2. ((b))

    64 years

  3. ((c))

    72 years

  4. ((d))

    56 years

Show Answer
Answer: ((d))

56 years

Given

Principal = Rs.1250

Amount = Rs.10000

Rate = 12.5%

Concept used

Simple interest

Calculation

Interest = Amount - Principal

Interest = 10000 - 1250

Interest = Rs.8750

Let the time be n years.

Si = (\frac{{P\ \times\ R\ \times\ T}}{{100}})

(8750 = \frac{{1250\ \times\ 12.5\ \times\ n}}{{100}})

n = (\frac{{700}}{{12.5}})

n = 56 years.

103

Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. How long will it take if all A, B and C work together to complete the job?

  1. ((a))

    8 days

  2. ((b))

    5 days

  3. ((c))

    3 days

  4. ((d))

    7 days

Show Answer
Answer: ((b))

5 days

Given

Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. 

Concept used

Time and work

Calculation

Total work = Number of days × efficiency 

A + B does a work in 6 days

B + C does a work in 10 days

C + A does a work in 7.5 days

Take Lcm of (6,10,7.5) which is 450

Total work = 450 units

Efficiency of A + B = 450/6 = 75

Efficiency of B + C = 450/10 = 45

Efficiency of A + C = 450/7.5 = 60

Total efficiency of A, B and C = (75 + 45 + 60) / 2

Total efficienct of A, B and C = 90

Number of days = 450 / 90

Number of days taken by A, B and C working together = 5 days.

104

Nikita takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Nikita during the time the car covers 1.6 km?

  1. ((a))

    480m

  2. ((b))

    520m

  3. ((c))

    600m

  4. ((d))

    800m

Show Answer
Answer: ((c))

600m

Given

Nikita takes as much time in running 18 meters as a car takes in covering 48 meters.

Concept used

Time and Distance

Calculation

Time taken by Nikita = Time taken by Car

Time = Distance / Speed

⇒ (\frac{{{d_1}}}{{{S_{nikita}}}} = \frac{{{d_2}}}{{{S_{Car}}}})

⇒ (\frac{{18}}{{{S_{nikita}}}} = \frac{{48}}{{{S_{Car}}}})

⇒ (\frac{{{S_{nikita}}}}{{{S_{Car}}}} = \frac{{18}}{{48}} = \frac{d}{{1600}})

⇒ distance = 600 m

105

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in:

  1. ((a))

    9 (1/5) days

  2. ((b))

    9 (2/5) days

  3. ((c))

    9 (3/5) days

  4. ((d))

    10 days

Show Answer
Answer: ((c))

9 (3/5) days

Given

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only.

Concept used

Time and work

Calculation

Total work = Number of days × Efficiency

Take Lcm of (16, 12 and 4) which is 48

Efficiency of A = 48/16 = 3 unit

Efficiency of B = 48/12 = 4 unit

Efficiency of A + B + C = 48/4 = 12

Efficiency of C = 12 - (3 + 4)

Efficiency of C = 12 - 7

Efficiency of C = 5 unit

C alone can do the work in 48/5 = 9 (3/5) days.

106

If selling price is doubled, the profit triples. Find the profit percent.

  1. ((a))

    66 2/3%

  2. ((b))

    100%

  3. ((c))

    105 1/3%

  4. ((d))

    120%

Show Answer
Answer: ((b))

100%

Given

Selling price is doubled, the profit triples.

Concept used

Profit and Loss

Calculation

Let the CP be x and SP be y

As per the question,

⇒ 2y - x = 3(y - x)

⇒ 2y - x = 3y - 3x

⇒ 2x = y

⇒ (\frac{x}{y} = \frac{1}{2})

CP = 1 unit, SP = 2 unit

Gain = 1 unit

Profit % = (\frac{1}{1} \times 100 )

Profit % = 100%

107

A, P, R, X, S and Z are sitting in a row facing north. S and Z are in the centre. A and P are at the ends. R is sitting to the left of A. Who is to the right of P?

  1. ((a))

    A

  2. ((b))

    X

  3. ((c))

    S

  4. ((d))

    Z

Show Answer
Answer: ((b))

X

According to the given information :

  1. A and P are at the ends. R is sitting to the left of A (Thus, A will be to the extreme right).

  1. S and Z are in the centre (Two cases are possible).

  1. The vacant place will be occupied by X.

Thus, it is clear from both the cases that X is to the right of P.

Hence, the correct answer is "X".

108

Two numbers are respectively 20% and 50% more than a third number. Find the ratio of first and second number.

  1. ((a))

    2 : 5

  2. ((b))

    3 : 5

  3. ((c))

    4 : 5

  4. ((d))

    6 : 7

Show Answer
Answer: ((c))

4 : 5

Given

Two numbers are respectively 20% and 50% more than a third number.

Concept used

Ratio and proportion

Calculation

Let the third number be 100

Let the first and second numbers be A and B

A is 20% more than 100 = 120

B is 50% more than 100 = 150

A : B = 120 : 150

A : B = 12 : 15

A : B = 4 : 5

109

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary after increment?

  1. ((a))

    Rs. 17000

  2. ((b))

    Rs. 20000

  3. ((c))

    Rs. 25000

  4. ((d))

    Rs. 38000

Show Answer
Answer: ((d))

Rs. 38000

Given

Salaries of ravi and Sumit are in the ratio 2 : 3.

If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. 

Concept used

Ratio and proportion

Calculation:

Let the initial salaries of Ravi and sumit be 2x and 3x

As per the question,

⇒ (\frac{{2x\ +\ 4000}}{{3x\ +\ 4000}} = \frac{{40}}{{57}})

⇒ 57(2x + 4000) = 40(3x + 4000)

⇒ 6x = 68000

⇒ 3x = 34000

Sumit's present salary = 3x + 4000

⇒ Rs.(34000 + 4000) = Rs.38000

∴ Sumit's present salary is Rs. 38000

Alternate Method Given:

Salaries of ravi and Sumit are in the ratio 2 : 3.

If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57

Calculation:

To balance the given ratio, we need to multiply (before)Salary with 17 .

6 = 4000

1 = 4000/6

57(incremented salary) = (4000/6) × 57

⇒ 38,000

∴ Sumit's present salary is Rs. 38000

110

P and Q can finish work in 15 & 10 days. Q starts the work and leaves it after 5 days. The number of days in which P can complete the remaining work in

  1. ((a))

    15/2 days

  2. ((b))

    25/2 days

  3. ((c))

    30/2 days

  4. ((d))

    33/3 days

Show Answer
Answer: ((a))

15/2 days

Given

P and Q can finish a work in 15 & 10 days. Q starts the work and leaves it after 5 days. 

Concept used

Time and work

Calculation

Total work = Number of days × Efficiency

Lcm of (15 and 10) is 30 

Total work = 30 units

Efficiency of P = 30/15 = 2 unit

Efficiency of Q = 30/10 = 3 unit

Q does the work for 5 days = 5 × 3 = 15 work done

Remaining work = 30 - 15 = 15 unit

P does the work = (Remaining work) / efficiency

P does the work in = 15/2 days.

111

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

  1. ((a))

    30%

  2. ((b))

    70%

  3. ((c))

    100%

  4. ((d))

    250%

Show Answer
Answer: ((b))

70%

Given

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant.

Concept used

Profit and loss

Calculation

Let the CP be Rs.100

Profit = 320% of 100

Profit = Rs.320

SP = Rs.(320 + 100)

SP = Rs.420 

Cost price increases by 25% 

Cost price = Rs.125

Selling price = Rs.420

Profit = Rs.(420 - 125)

Profit = Rs.295

Required percentage = (\frac{{295}}{{420}} \times 100)

∴ 70% aprrox

112

A child has three different kinds of chocolates costing Rs. 2, Rs. 5, Rs. 10. He spends total Rs. 120 on the chocolates. What is the minimum possible number of chocolates he can buy, if there must be atleast one chocolate of each kind?

  1. ((a))

    22

  2. ((b))

    19

  3. ((c))

    17

  4. ((d))

    15

Show Answer
Answer: ((c))

17

Given

A child has three different kinds of chocolates costing Rs. 2, Rs. 5, Rs. 10. He spends total Rs. 120 on the chocolates. 

Concept used

Ratio and proportion

Calculation

Minimum number of chocolates are possible when he purchases maximum number of costliest chocolates.

He spents Rs.120 on the chocolates.

Rs.100 must be spent on 10 chocolates = 10 × 10

⇒ 2 × 5 + 5 × 2 = Rs.20

Minimum number of chocolates = 2 + 5 + 10 = 17

113

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series

55, 60, 58, 63, 61, 66, 64, ___.

  1. ((a))

    69

  2. ((b))

    68

  3. ((c))

    67

  4. ((d))

    66

Show Answer
Answer: ((a))

69

Given

given series 55, 60, 58, 63, 61, 66, 64 ___.

Concept 

Series

Calculation

The numbers at first, third, fifth have a common difference of 3

Similarly the numbers at second, fourth, sixth also has a difference of 3

⇒ 60 + 3 = 63

⇒ 63 + 3 = 66

⇒ 66 + 3 = 69

∴ Ans = 69

114

Arrange the following words in a logical and meaningful order.

  1. Night
  2. Darkness
  3. Lamp
  4. Light
  5. Vision
  1. ((a))

    1,2,3,4,5

  2. ((b))

    3,2,1,4,5

  3. ((c))

    4,3,5,2,1

  4. ((d))

    2,1,3,5,4

Show Answer
Answer: ((a))

1,2,3,4,5

The logic follows here is :

First of all, Night occurs.

Then, Darkness comes.

After that, Lamp is switched on.

Then, it gives Light.

At last, we get Vision.

Thus, the final sequence will be :

Night → Darkness → Lamp → Light → Vision.

Hence, the correct answer is "1,2,3,4,5".

115

The average of 4 terms is 20 and the 1st term is 1/3 of the remaining terms. What will be the first number.

  1. ((a))

    30

  2. ((b))

    20

  3. ((c))

    60

  4. ((d))

    80

Show Answer
Answer: ((b))

20

Given

The average of 4 terms is 20 and the 1st term is 1/3 of the remaining terms.

Concept used

Average

Calculation

Let the four numbers be a, b, c, d

Average of 4 terms is 20

⇒ (\frac{{a\ +\ b\ +\ c\ +\ d}}{4} = 20)

⇒ a + b + c + d = 80

1st term is 1/3 of the remaining terms

⇒ a = 1/3 (b + c + d)

⇒ a = 1 and b + c + d = 3 units

⇒ 4 units = 80

⇒ 1 unit = 20

∴ a = 20

116

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

  1. ((a))

    100 Kmph

  2. ((b))

    110 Kmph

  3. ((c))

    120 Kmph

  4. ((d))

    130 Kmph

Show Answer
Answer: ((c))

120 Kmph

Given

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations.

Concept used

Time and Distance

Calculation

Let the speed of the car be x km/hr

Speed of train becomes 

⇒ (x + \frac{x}{2} = \frac{{3x}}{2}km/hr)

Time taken by car = 75/x

Time taken by Train = (\frac{{75}}{{\frac{{3x}}{2}}} = \frac{{50}}{x})

As per the question,

⇒ (\frac{{75}}{x} - \frac{{50}}{x} = \frac{{125}}{{600}})

⇒ (\frac{{25}}{x} = \frac{{125}}{{600}})

⇒ x = 120 km/hr

117

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

  1. ((a))

    Rs. 6400

  2. ((b))

    Rs. 6500

  3. ((c))

    Rs. 7200

  4. ((d))

    Rs. 7500

Show Answer
Answer: ((a))

Rs. 6400

Given

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508

Concept used

Simple interest

Calculation

Let the investment in scheme A be Rs.x

Investment in scheme B be Rs.(13900 - x)

Si = (P × R × T) / 100

Si for Rs.x for 2 years at 14% p.a = (\frac{{28x}}{{100}})

Si for Rs.(13900 - x) for 2 years at 11% p.a = (\frac{{(13900 - x) \times\ 2\ \times\ 11}}{{100}})

As per the question,

⇒ (\frac{{28x}}{{100}} + \frac{{(13900 - x) \times\ 2\ \times\ 11}}{{100}} = Rs.3508)

⇒ 28x - 22x = 45000

⇒ 6x = 45000

⇒ x = 7500

Investment in scheme B = 13900 - 7500

∴ Rs.6400

118

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

  1. ((a))

    5.75

  2. ((b))

    6.25

  3. ((c))

    6.75

  4. ((d))

    7.25

Show Answer
Answer: ((b))

6.25

Given

In the first 10 overs of a cricket game, the run rate was only 3.2. 

Concept used

Average

Calculation

For first 10 overs run rate was 3.2

Runs scored = 3.2 × 10 = 32

Total runs to be scored = 282

Remaining runs = 282 - 32

Remaining runs = 250

Runs to be scored in 40 overs = 250/40

Required run rate in remaining overs = 6.25

119

Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to complete the job. Find the time in which they can finish the job together?

  1. ((a))

    30 days

  2. ((b))

    45 days

  3. ((c))

    60 days

  4. ((d))

    90 days

Show Answer
Answer: ((c))

60 days

Given

Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to complete the job. 

Concept used

Time and work

Calculation

Total work = Number of days × Efficiency

Efficiency of Pooja and Aarti = 2 : 1

Pooja takes 90 days less than Aarti

⇒ 2(90 - x) = 1x

⇒ 180 - 2x = x

⇒ x = 60

Total work = 60 × (2 + 1) = 180 units

Together they can do the work in 

⇒ 180 / 3 = 60 Days.

120

Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?

  1. ((a))

    16 years

  2. ((b))

    18 years

  3. ((c))

    20 years

  4. ((d))

    can't determine

Show Answer
Answer: ((a))

16 years

Given

Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. 

Concept used

Ratio and proportion

Calculation

Let the age of Kunal and Sagar 6 years ago be 6x and 5x

Their present age will be (6x + 6) and (5x + 6)

According to the question 

Age of Kunal 4 year hence (6x + 10)

Age of Sagar 4 year hence (5x + 10)

Now, According to the question

⇒ (\frac{{6x\ +\ 10}}{{5x\ +\ 10}} = \frac{{11}}{{10}})

⇒ 5x = 10

⇒ x = 2

Sagar's present age 

⇒ 5 × 2 + 6

∴ 16 years.

121

Three of the following four are same in a certain way and hence form a group. Find out the one which does not belong to that group?

  1. ((a))

    Ego

  2. ((b))

    Anger

  3. ((c))

    Miser

  4. ((d))

    Brave

Show Answer
Answer: ((c))

Miser

Given:

Some words

Calculation:

⇒ The "Miser" is different from another because means "A person who hoards wealth and spends as little money as possible" and the remaining word represents the states of mind.

∴ The required result will be " Miser".

122

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

  1. ((a))

    1 hr

  2. ((b))

    2 hr

  3. ((c))

    3 hr

  4. ((d))

    4 hr

Show Answer
Answer: ((a))

1 hr

Given:

Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes

Concept:

Speed = Distance/Time

Calculation:

Let be the original speed of aircraft be x km/h

⇒ Due to bad weather new speed = (x - 200) km/h

⇒ The time is taken by flight at original speed = 600/x

⇒ Time is taken by flight at new speed = 600/(x - 200)

⇒ Now the total time difference = 30 minutes = 1/2 hours

⇒ 600/(x - 200) - 600/x = 1/2

⇒ By solving the equation

⇒ x = 600, -400

⇒ The time is taken by aircraft at original speed = 600/600 = 1 hours

∴ The required result will be 1 hour.

123

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

  1. ((a))

    3.6 kg

  2. ((b))

    3.696 kg

  3. ((c))

    36 kg

  4. ((d))

    36.9 kg

Show Answer
Answer: ((b))

3.696 kg

Given:

The hollow iron pipe is 21 cm long

Concept:

The volume of cylinder = π × R2 × H

Calculation:

⇒ The external radius = 4 cm

⇒ The internal radius = 3 cm

⇒ Volume of iron = (22/7) × (42 - 32) × 21 = 462 cm3

⇒ Weight of iron = 462 × 8 = 3696 gram = 3.696 kg

∴ The required result will be 3.696 kg.

124

How many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall of 80 m × 60 m × 22.5 cm?

  1. ((a))

    560000

  2. ((b))

    600000

  3. ((c))

    640000

  4. ((d))

    720000

Show Answer
Answer: ((c))

640000

Given:

Brick dimensions: 25 cm × 11.25 cm × 6 cm

Wall dimensions: 80 m × 60 m × 22.5 cm

Concept:

The volume of the cuboid = Length × Breadth × Height

Convert wall dimensions to cm: 8000 cm × 6000 cm × 22.5 cm

Calculation:

⇒ Volume of one brick = 25 cm × 11.25 cm × 6 cm = 1687.5 cm³

⇒ Volume of the wall = 8000 cm × 6000 cm × 22.5 cm = 1080000000 cm³

⇒ Number of bricks ⇒ 1080000000 cm³ / 1687.5 cm³ = 640000

∴ 640000 bricks are needed.

125

A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

  1. ((a))

    13

  2. ((b))

    59

  3. ((c))

    35

  4. ((d))

    37

Show Answer
Answer: ((d))

37

Given:

A number when divided by a divisor leaves a remainder of 24

Calculation:

Let be assume the number is X and the deviser is Y and the 2quotient is Z

⇒ X/Y = P + 24 .... (1)

⇒ 2X/Y = Q + 11 .... (2)

⇒ By solving both the equation

⇒ Y = 37/(Q - 2P) 

⇒ 37 is a prime number and Y is an integer 

⇒ Y = 37 or 1

∴ The required result will be 37.

126

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

  1. ((a))

    Rs. 375

  2. ((b))

    Rs. 400

  3. ((c))

    Rs. 600

  4. ((d))

    Rs.800

Show Answer
Answer: ((b))

Rs. 400

Given:

A alone can do a piece of work in 6 days and B alone in 8 days

Calculation:

⇒ One day work of A and B together = (1/6 + 1/8) = 14/48 = 7/24

⇒ C can complete the work = 7/24 + 1/C = 1/3

⇒ C can complete the work = 24 days

⇒ The ratio of efficiency of A, B, and C = 4 : 3 : 1

⇒ Amount to be paid for C = (3200/8) × 1 = 400

∴ The required result will be 400.

127

Simplify the expression: 18 ÷ [6 × {4 - (8 - 6 + 3)}] 

  1. ((a))

    -3

  2. ((b))

    5

  3. ((c))

    -1

  4. ((d))

    1

Show Answer
Answer: ((a))

-3

Given:

The expression is 18 ÷ [6 × {4 - (8 - 6 + 3)}]

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

⇒ 18 ÷ [6 × {4 - (8 - 6 + 3)}]

⇒ 18 ÷  [6 × {4 - 5}]

⇒ 18 ÷  (6 × -1)

⇒ 18 ÷ (-6) = -3

∴ The required result is -3.

128

A Sentry post wall is required to be made using ammunition boxes which measure 40 cm × 20 cm × 10 cm. Minimum how many such boxes will be required for making a wall with a total length of 6 m and height of 1 m?

  1. ((a))

    75

  2. ((b))

    150

  3. ((c))

    300

  4. ((d))

    60

Show Answer
Answer: ((a))

75

Concept:

Area of rectangle = length × height 

Calculation:

Given: Ammunition boxes dimension = 40 cm × 20 cm × 10 cm and Wall dimension = 6 m length and 1 m height

For minimum number of boxes, we take larger side on the wall

so area of large side of box  = 40 cm × 20 cm = 800 cm2

Area of wall = 6 m × 1 m = 6 m2

Number of boxes = area of wall/area of large side of boxes

⇒ (600 × 100)/(800)                                              (∵1 m = 100 cm)

⇒ 75

129

Govt has decided to connect Tripura and Delhi via a train service which is called 'Tripura Sundari Express' Two trains are running from Tripura and Delhi towards each other. Train from Tripura in covering a distance of 60 km takes 2 hours more than that of the train from Delhi. If Tripura doubles its speed, then it would take 1 hour less than that of Delhi. Tripura train's speed is?

  1. ((a))

    5

  2. ((b))

    10

  3. ((c))

    7

  4. ((d))

    8

Show Answer
Answer: ((b))

10

Concept:

Speed = Distance/Time

Calculation:

Let be assume the speed of the Tripura train is X and the speed of the Delhi train is Y

⇒ 60 × (1/X - 1/Y) = 2 ..... (1)

⇒ When train Tripura double it's speed 

⇒ 60 × (1/Y - 1/2X) = 1 ..... (2)

⇒ By solving equation (1) and (2)

⇒ X/Y = 2/3

⇒ From equation (1)

⇒ X = 10 km/h

∴ The required result will be 10 km/h.

130

P is thrice as good workman as Q and is therefore able to finish the work in 60 days less than Q. Q can finish the work in?

  1. ((a))

    220 days

  2. ((b))

    25 days

  3. ((c))

    90 days

  4. ((d))

    33 days

Show Answer
Answer: ((c))

90 days

Given:

P is thrice as good a workman as Q

Calculation:

⇒ The efficiency of P and Q is 3x and x respectively and the time is taken to complete the work P and Q is x and 3x respectively.

⇒ 3x - x = 60

⇒ x = 30

⇒ The Q can finish the work = 3x = 3 × 30 = 90 days

∴ The required result will be 90 days.

(Net few questions are about data analysis. Statistical data of 500 persons was obtained from the Department of Food Civil Supplies and Consumer Affairs. Their choices were taken on their liking of Italian, Thai and Indian Food. Answer the questions based on the data given)

Persons liked all three food - 62

Persons liked only Italian - 75

Persons liked only Thai - 20

Persons liked only Indian - 162

Persons not liked Italian but liked other two - 216

Persons not liked Thai but liked other two - 333

Persons not liked Indian but liked other two - 141

Persons did not like any of the three - 05

131

How many persons like at least any one food?

  1. ((a))

    500

  2. ((b))

    495

  3. ((c))

    257

  4. ((d))

    Can't say

Show Answer
Answer: ((b))

495

Calculation:

⇒ a + b + c + d + e + f + g = 500 - 5

⇒ a + b + c + d + e + f + g = 495

⇒ The person like atleast one food = 500 - 5 = 495

∴ The required result will be 495.

132

How many persons disliked only two types of food?

  1. ((a))

    176

  2. ((b))

    238

  3. ((c))

    257

  4. ((d))

    690

Show Answer
Answer: ((c))

257

Calculation:

⇒ a + b + c + d + e + f + g = 500 - 5

⇒ a + b + c + d + e + f + g = 495

⇒ How many person dislike only two type of food = a + c + e = 75 + 20 + 162 = 257

∴ The required result will be 257.

133

How many persons like Indian food and one more type of food?

  1. ((a))

    354

  2. ((b))

    292

  3. ((c))

    130

  4. ((d))

    Can't say

Show Answer
Answer: ((c))

130

Calculation:

⇒ a + b + c + d + e + f + g = 500 - 5

⇒ a + b + c + d + e + f + g = 495

⇒ The indian food and one more type of food = f + d = 96 + 34 = 130

∴ The required result will be 130.

134

How many persons disliked only any one type of food?

  1. ((a))

    176

  2. ((b))

    238

  3. ((c))

    257

  4. ((d))

    690

Show Answer
Answer: ((a))

176

Calculation:

⇒ a + b + c + d + e + f + g = 500 - 5

⇒ a + b + c + d + e + f + g = 495

⇒ Only dislike any one of type of food = b + d + f 

⇒ 46 + 34 + 96 = 176

∴ The required result will be 176.

135

How many persons did not like Italian?

  1. ((a))

    216

  2. ((b))

    221

  3. ((c))

    75

  4. ((d))

    80

Show Answer
Answer: ((a))

216

Calculation:

⇒ a + b + c + d + e + f + g = 500 - 5

⇒ a + b + c + d + e + f + g = 495

⇒ Not liked italian = c + d + e = 20 + 34 + 162 = 216

∴ The required result will be 216.

136

I have a brother who was one forth my age 10 years ago. As on date the sum of our ages is half a century. What is the present age of my brother?

  1. ((a))

    34

  2. ((b))

    32

  3. ((c))

    16

  4. ((d))

    14

Show Answer
Answer: ((c))

16

Calculation:

Let be assume the age of present age of the brother is X

⇒ My present age = 4X - 40 + 10 = 4X - 30

⇒ The sum of their age = X + 4X - 30 = 50

⇒ X = 16

∴ The required result will be 16.

137

A boat takes 8h to row 48 km downstream and 12h to row the same distance upstream. Find the boat's rate and the rate of the current.

  1. ((a))

    5 & 1 km/h

  2. ((b))

    4 & 3 km/h

  3. ((c))

    4 & 2 km/h

  4. ((d))

    2 & 3 km/h

Show Answer
Answer: ((a))

5 & 1 km/h

Given:

A boat takes 8h to row 48 km downstream and 12h to row the same distance upstream

Calculation:

⇒ The speed of downstream of the boat = 48/8 = 6 km/h

⇒ The speed of upstream of the boat = 48/12 = 4 km/h

⇒ The speed of the boat = (6 + 4)/2 = 5 km/h

⇒ The speed of current = (6 - 4)/2 = 1 km/h

∴ The required result will be "5 & 1" km/h.

138

A shopkeeper sells two tables at Rupees 1500 each. He earned a profit of 20% on one table however suffered a loss of 20% on the other. Net profit or loss on this deal is:

  1. ((a))

    4 % profit

  2. ((b))

    4 % loss

  3. ((c))

    No profit no loss

  4. ((d))

    10% loss

Show Answer
Answer: ((b))

4 % loss

Given:

A shopkeeper sells two tables at Rupees 1500 each

Calculation:

Let be assume the cost of tables X and Y respectively

⇒ X × 1.2 = 1500, X = 1250

⇒ Y × 0.8 = 1500, Y = 1875

⇒ The required (loss/profit)% = (1500 + 1500)/(1250 + 1875) × 100 = 96%

⇒ The loss % = 100 - 96 = 4%

∴ The required result will be 4%.

139

The ratio between the monthly income of husband and wife working in the IT sector is 9:8 and the ratio of their individual expenditure is 8 : 7. If they save Rupees 9000 at the end of the month, then the wife's monthly salary is:

  1. ((a))

    81000

  2. ((b))

    72000

  3. ((c))

    63000

  4. ((d))

    56000

Show Answer
Answer: ((b))

72000

Given:

The ratio between the monthly income of husband and wife working in the IT sector is 9:8 and the ratio of their individual expenditure is 8 : 7

Calculation:

Let be assume the monthly salary of husband and wife is 9x and 8x respectively and expenditure 8y and 7y respectively

⇒ 9x - 8y = 9000 .... (1)

⇒ 8x - 7y = 9000 .... (2)

⇒ x = 9000

⇒ Salary of wife's = 8x = 8 × 9000 = 72000

∴ The required result will be 72000.

140

While preparing a medicine the ayurvedic doctor mixed three medicines. 240 grams of first, 380 grams of second and 500 grams of third. Of the cost of first two medicines was Rs 40/kg & Rs 70/kg and the mixture was sold at Rs 50/kg, then price of the third medicine is

  1. ((a))

    Rs 49.6/kg

  2. ((b))

    Rs 39.8/kg

  3. ((c))

    Rs 39.6/kg

  4. ((d))

    Rs 49.8/kg

Show Answer
Answer: ((c))

Rs 39.6/kg

Given:

The price of the first two medicines is 40 rupees/kg 70 rupees/kg

Calculation:

Let be assume cost price of the third mixture is X

⇒ (0.24 × 40 + 0.38 × 70 + 0.5 × X)/(0.24 + 0.38 + 0.5) = 50

⇒ X = 39.6 kg

∴ The required result will be 39.6 rupees/kg.

141

A battery had enough charge to light 10 bulbs for a certain period of time. After 10 minutes of usage, 2 bulbs were disconnected from the battery, All the balance bulbs remained powered up just as long as before. How long was that?

  1. ((a))

    30 minutes

  2. ((b))

    10 minutes

  3. ((c))

    60 minutes

  4. ((d))

    40 minutes

Show Answer
Answer: ((b))

10 minutes

Given:

A battery had enough charge to light 10 bulbs for a certain period of time

Calculation:

Let be assume 10 bulbs will light to X minutes

⇒ 10X = 10 × 10 + 8(X - 10)

⇒ 10X = 100 + 8x - 80

⇒ 2X = 20

⇒ X = 10 minutes

∴ The required result will be 10 minutes.

142

In IPL 2021 there will be 9 teams. If like the IPL 2020, all teams play with all other  teams twice, then what will be the number of league matches in all?

  1. ((a))

    56

  2. ((b))

    62

  3. ((c))

    68

  4. ((d))

    72

Show Answer
Answer: ((d))

72

Given:

The total team is nine

Calculation:

Let be assume teams is a, b, c, d, e, f, g, h, and i

⇒ For team a = 2 × {(a, b) (a, c), (a, d) (a, e) (a, f) (a, g) (a, h) (a, i)} = 2 × 8 = 16

⇒ For team b = 16 - 2 = 14

⇒ For team c = 16 - 4 = 12

⇒ For team d = 16 - 6 = 10

⇒ For team e = 16 - 8 = 8

⇒ For team f = 16 - 10 = 6

⇒ For team g = 16 - 12 = 4

⇒ For team h = 16 - 14 = 2

⇒ For team i = 16 - 16 = 0

⇒ The total match = 16 + 14 + 12 + 10 + 8 + 6 + 4 + 2 + 0 = 72

∴ The required result will be 72.

Shortcut Method

⇒ n = 9

⇒ The total leag match = n × (n - 1) = 9 × 8 = 72.

143

A beggar went to a bank to deposit his savings of Rupees 175. All his savings were in the form of one, two and five rupees coins. If the two rupee coins were double the one rupee coins and triple the five rupee coins, then what is the number of five rupee coins?

  1. ((a))

    42

  2. ((b))

    14

  3. ((c))

    21

  4. ((d))

    20

Show Answer
Answer: ((b))

14

Given:

The savings of the beggar is 175

Calculation:

Let be assume one, two and five rupees of the coin is a, b, and c respectively.

⇒ b = 2a and b = 3c

⇒ The ratio of 1 rupee coin 2 rupees coin and 5 rupees coin = 3 : 6 : 2

⇒ Let the one rupees coin is 3X and two rupees coin is 6X and 5 rupees coin is 2X

⇒ 3X + 2 × (6X) + 5 × (2X) = 175

⇒ 25X = 175

⇒ X = 7

⇒ The number of five rupees coin = 7 × 2 = 14

∴ The required result will be 14.

144

An amount is distributed among Suman, Aman and Gagan in the ratio of 3 : 7 : 11. If 24% of the share of Suman is Rupees 1080, then the difference between the shares of Aman and Gagan is?

  1. ((a))

    5000

  2. ((b))

    2500

  3. ((c))

    6000

  4. ((d))

    4500

Show Answer
Answer: ((c))

6000

Given:

An amount is distributed among Suman, Aman and Gagan in the ratio of 3 : 7 : 11

Calculation:

Let be assume Suman, Aman, and Gagan has amount is 3X, 7X, and 11X respectively.

⇒ 3X × (24/100) = 1080

⇒ X = 1500

⇒ The difference of share of man and gagan = 11X - 7X = 4X = 4 × 1500 = 6000

∴ The required result will be 6000.

145

In a Mall, one shop was selling the garments at flat 40% off and another at two successive discounts of 36% and 4%. If item 500 MRP bought from each of the shops then the difference between the discount amount will be? 

  1. ((a))

    No difference

  2. ((b))

    Rupees 2

  3. ((c))

    Rupees 1.93

  4. ((d))

    Rupees 7.20

Show Answer
Answer: ((d))

Rupees 7.20

Given:

The marked price of the item from both the shop is 500

Calculation:

⇒ The discount at mall = 500 × (2/5) = 200

⇒ The discount at shop = 500 × (36 + 4 + (36 × 4)/100} = 207.2

⇒ The required difference = 207.2 - 200 = 7.20

∴ The required result will be 7.20.

146

In this examination of GMAT, consider that you score 2 marks for every correct answer and lose 0.5 marks for every wrong answer. If you have attempted all questions and scored 180 marks, the number of questions you got correct is?

  1. ((a))

    100

  2. ((b))

    102

  3. ((c))

    104

  4. ((d))

    120

Show Answer
Answer: ((b))

102

Given:

For every right answer, 2 marks will be award and for every wrong answer 0.5 marks deducted

Calculation:

Let be assume x questions is right and y question is wrong

⇒ The total number of question = 150

⇒ 2x - 0.5y = 180 .... (1)

⇒ x + y = 150 ...... (2)

⇒ By solving both the equation (1) and (2)

⇒ x = 102, y = 48

∴ The required result will be 102.

147

By selling an item for Rupees 720, a man loses 10%. At what price should he sell it to earn a profit of 5%?

  1. ((a))

    840

  2. ((b))

    890

  3. ((c))

    1000

  4. ((d))

    995

Show Answer
Answer: ((a))

840

Calculation:

Let be assume cost price of item is X

⇒ X × 0.9 = 720

⇒ X = 800

⇒ New selling price = 800 × (105/100) = 840

∴ The required result will be 840.

148

The least number which when subtracted from 1850 makes it a perfect square, is?

  1. ((a))

    5

  2. ((b))

    7

  3. ((c))

    1

  4. ((d))

    11

Show Answer
Answer: ((c))

1

Given:

A number is 1850

Calculation:

⇒ When we substract 1 from 1850 = 1850 - 1 = 1849

⇒ √1849 = 43

∴ The required result will be 1.

149

A train 110 m long is running at the speed of 72 km/h. How much time it take to cross 132 m long platform?

  1. ((a))

    9.8 sec

  2. ((b))

    12.1 sec

  3. ((c))

    12.42 sec

  4. ((d))

    14.3 sec

Show Answer
Answer: ((b))

12.1 sec

Given:

The speed of the train is 72 km/h

Calculation:

⇒ (110 + 132)/{72 × (5/18)} = 12.1 seconds

∴ The required result will be 12.1 seconds.

150

A newly opened bank offered interest rate of 15%. Anmol had an account in SBI which provided him an interest rate of 5%. If Anmol opens his account in the new bank and makes an investment of Rupees 50000 for 6 years, how much additional profit will he makes as compared to SBI account?

  1. ((a))

    Rs. 45000

  2. ((b))

    Rs. 30000

  3. ((c))

    Rs. 15000

  4. ((d))

    No difference

Show Answer
Answer: ((b))

Rs. 30000

Given:

New bank offer 15% of interest rate and SBI offer a 5% interest

Concept:

Interest = (Principle × Time × Rate)/100

Calculation:

⇒ The required difference = 50000 × 6 × (15 - 5) × (1/100) = 30000

∴ The required result will be 30000.

Attempt this paper under real exam conditions

Timed interface, section switching, instant scoring, and question-by-question analytics — free.

Start Timed Attempt