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CMAT Mock Test - 6 (New Pattern) - CAT MCQ


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100 Questions MCQ Test CMAT Mock Test Series - CMAT Mock Test - 6 (New Pattern)

CMAT Mock Test - 6 (New Pattern) for CAT 2024 is part of CMAT Mock Test Series preparation. The CMAT Mock Test - 6 (New Pattern) questions and answers have been prepared according to the CAT exam syllabus.The CMAT Mock Test - 6 (New Pattern) MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for CMAT Mock Test - 6 (New Pattern) below.
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CMAT Mock Test - 6 (New Pattern) - Question 1

Directions: In the following question, a sentence/a part of sentence is underlined. Below are given alternatives to the underlined part, which may improve the sentence. Choose the correct alternative. In case no improvement is required, choose 'No Improvement' option.

My teacher forbade me to use mobile phone in the class.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 1
The given sentence has no error.
CMAT Mock Test - 6 (New Pattern) - Question 2

Directions: Select the appropriate choice that fills the blank(s) in the sentence in the most meaningful manner.

Men imagine that they communicate their virtue or vice only by _________ actions, and don`t see that virtue or vice emit a breath every moment.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 2
'Virtue or vice emit a breath every moment' means that virtue or vice get reflected every moment. So, from the sentence it is implicit that virtue or vice don't just get reflected by explicit actions but get reflected every moment. This sense is only conveyed by the word 'overt.' Other answer choices don't find reference in the context.
CMAT Mock Test - 6 (New Pattern) - Question 3

Directions: The given sentence may contain only one error in grammar usage, diction (choice of words) or idiom. Select the numbered part that, according to you, contains the error. If there is no error, the answer is (D), i.e. No error.

Raghu came out of the bathroom (A)/ with a towel (B)/ in the hand. (C)/ No error (D)

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 3
It should be 'in his hand'. We are referring to Raghu's hand. So, the possessive adjective 'his' should be used. 'The hand' is not definite and it does not indicate whose hand is being referred to.
CMAT Mock Test - 6 (New Pattern) - Question 4

Directions: Read the following passage and answer the question that follows.

All the material composing the content of a dream is somehow derived from the experience. It is either reproduced or remembered in the dream – this at least may be accepted as an incontestable fact. Yet, it would be wrong to assume that such a connection between the dream-content and reality will be easily obvious from a comparison between the two. On the contrary, the connection must be carefully sought and in quite a number of cases, it may for a long while elude discovery. The reason for this is to be found in a number of peculiarities evinced by the faculty of memory in dreams. Peculiarities which, though generally observed, have hitherto defied explanation. It will be worth our while to examine these characteristics exhaustively. To begin with, it happens that certain material appears in the dream, content which cannot be subsequently recognised, in the waking state as being part of one's knowledge and experience. One remembers clearly enough having dreamed of the thing in question but one cannot recall the actual experience or the time of its occurrence. The dreamer is therefore in the dark as to the source which the dream has tapped and is even tempted to believe in an independent productive activity on the part of the dream, until, often long afterwards, a fresh episode restores the memory of that former experience, which had been given up for lost and so, reveals the source of the dream. One is therefore forced to admit that in the dream, something was known and remembered and that cannot be remembered in the waking state. One of the sources from which dreams draw material for reproduction, material of which some part is not recalled or utilised in our waking thoughts, is to be found in childhood.

Q. Which of the following is true about the contents of a dream?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 4
The sentence, ' ... until, often long afterwards, a fresh episode restores the memory of that former experience, which had been given up for lost and so, reveals the source of the dream ...' indicates that all dreams derive content from actual experience. The 1st sentence of the passage further clarifies this.
CMAT Mock Test - 6 (New Pattern) - Question 5

Directions: Read the following passage and answer the question that follows.

All the material composing the content of a dream is somehow derived from the experience. It is either reproduced or remembered in the dream – this at least may be accepted as an incontestable fact. Yet, it would be wrong to assume that such a connection between the dream-content and reality will be easily obvious from a comparison between the two. On the contrary, the connection must be carefully sought and in quite a number of cases, it may for a long while elude discovery. The reason for this is to be found in a number of peculiarities evinced by the faculty of memory in dreams. Peculiarities which, though generally observed, have hitherto defied explanation. It will be worth our while to examine these characteristics exhaustively. To begin with, it happens that certain material appears in the dream, content which cannot be subsequently recognised, in the waking state as being part of one's knowledge and experience. One remembers clearly enough having dreamed of the thing in question but one cannot recall the actual experience or the time of its occurrence. The dreamer is therefore in the dark as to the source which the dream has tapped and is even tempted to believe in an independent productive activity on the part of the dream, until, often long afterwards, a fresh episode restores the memory of that former experience, which had been given up for lost and so, reveals the source of the dream. One is therefore forced to admit that in the dream, something was known and remembered and that cannot be remembered in the waking state. One of the sources from which dreams draw material for reproduction, material of which some part is not recalled or utilised in our waking thoughts, is to be found in childhood.

Q. The dreamer can

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 5
Refer the sentence, 'One remembers clearly enough having dreamed of the thing in question but one cannot recall the actual experience or the time of its occurrence.' So, option 2 is the correct answer.
CMAT Mock Test - 6 (New Pattern) - Question 6

Directions: Read the following passage and answer the question that follows.

All the material composing the content of a dream is somehow derived from the experience. It is either reproduced or remembered in the dream – this at least may be accepted as an incontestable fact. Yet, it would be wrong to assume that such a connection between the dream-content and reality will be easily obvious from a comparison between the two. On the contrary, the connection must be carefully sought and in quite a number of cases, it may for a long while elude discovery. The reason for this is to be found in a number of peculiarities evinced by the faculty of memory in dreams. Peculiarities which, though generally observed, have hitherto defied explanation. It will be worth our while to examine these characteristics exhaustively. To begin with, it happens that certain material appears in the dream, content which cannot be subsequently recognised, in the waking state as being part of one's knowledge and experience. One remembers clearly enough having dreamed of the thing in question but one cannot recall the actual experience or the time of its occurrence. The dreamer is therefore in the dark as to the source which the dream has tapped and is even tempted to believe in an independent productive activity on the part of the dream, until, often long afterwards, a fresh episode restores the memory of that former experience, which had been given up for lost and so, reveals the source of the dream. One is therefore forced to admit that in the dream, something was known and remembered and that cannot be remembered in the waking state. One of the sources from which dreams draw material for reproduction, material of which some part is not recalled or utilised in our waking thoughts, is to be found in childhood.

Q. The connection between the dream-content and reality

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 6
Refer the sentence 'On the contrary, the connection must be carefully sought and in quite a number of cases, it may for a long while elude discovery.' From this sentence it is clear that option 3 is correct.
CMAT Mock Test - 6 (New Pattern) - Question 7

Directions: In the following question, a sentence/a part of a sentence is underlined. Below are given alternatives to the underlined part, which may improve the sentence. Choose the correct alternative. In case no improvement is required, choose 'No Improvement' option.

Having run there and here in rage, he stood defeated, his cries suppressed into sobs.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 7
The given phrase is incorrect. It could have been 'here and there' to make the sentence correct.

Here, the keyword is 'in rage'. This indicates disorganised or confused movements. Use of 'helter-skelter' portrays this. Other options do not portray this random, disorganised movement.

CMAT Mock Test - 6 (New Pattern) - Question 8

Directions: Select the appropriate choice that fills the blank(s) in the sentence in the most meaningful manner.

He _________ himself never about consequences, about interests; he gives an independent, genuine verdict.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 8
'He gives an independent, genuine verdict' suggests that he is not bothered about the interests and consequences. This sense is best conveyed by the word 'cumber' which means to 'limit or hold back; keep within a small range.'

Hence, (2) is the answer.

CMAT Mock Test - 6 (New Pattern) - Question 9

Directions: The given sentence may contain only one error in grammar usage, diction (choice of words) or idiom. Select the numbered part that, according to you, contains the error. If there is no error, the answer is (D), i.e. No error.

The library members were asked (A)/ to return back the books (B)/ to the library. (C)/ No error (D)

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 9
'Return back' is incorrect as 'return' means 'to give back'. So, 'back' is already conveyed in the meaning of 'return'. The correct usage is 'to return the books'.
CMAT Mock Test - 6 (New Pattern) - Question 10

Directions: In the following question, a sentence/a part of a sentence is underlined. Below are given alternatives to the underlined part, which may improve the sentence. Choose the correct alternative. In case no improvement is required, choose 'No Improvement' option.

One night they sank through the shiny water, and for the first time since he has known them, began to quickly swim.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 10
The person knew them from a time in the past till another later time in the past. Moreover, 'since' indicates use of the perfect tense. As the action took place in the past, past perfect tense will be used. So, option (1) is correct.
CMAT Mock Test - 6 (New Pattern) - Question 11

Directions: Read the passage carefully and select the best answer out of the given four alternatives.

The first thing is that the rich people of the world should start living in communes. Let those communes be of the rich! So they will not be dragged down from their standard of life, their comforts, and their luxuries. Let there be, around the world, hundreds of communes of rich people – that is, rich communes.

And to me, wealth is a certain kind of creativity. If five thousand rich people who have all created wealth individually are together, they can create wealth a millionfold.

Their standard will not go lower; their standard could go even higher. Or they can start sharing. They can start inviting people who are not rich but who are creative in some other way, who will enhance the life of their commune although they may be poor.

Five thousand rich people, together with their genius for creating wealth, are capable of creating so much wealth that they can invite thousands of other people who may not be rich in the sense of being wealthy, but who may be rich as painters, poets, dancers, singers.

What are you going to do only with wealth? You cannot play music on money; you cannot dance just because you have so much cash in the bank. And these rich communes can start becoming bigger, absorbing more and more creative people. They can make beautiful places all around the world, and slowly, new people can be absorbed.

For example, you will need plumbers, however rich you may be; you will need mechanics; technicians; you will need shoemakers. Invite them – and they come to you not as servants, but as members of the commune. Slowly, we can transform the whole world – without any bloodshed and without any dictatorship.

A communism that comes out of love, out of intelligence, out of generosity, will be real. A communism that comes through force is going to be unreal. There is not a single man in the world, howsoever poor, who has nothing to contribute. Around the world all the rich communes will need people; and slowly, slowly your commune will become bigger and bigger.

The rich will not become poor, but the poor will become rich, and respectable, and equal – in no way inferior to anybody else – because they are also functioning in the same way as anybody else. And whatever they are doing is needed as much as anybody else's expertise is needed.

Q. According to the passage, what is an advantage of rich people living in communes?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 11
It is clearly stated in the given sentences, 'So they will not be dragged down from ... of rich people – that is, rich communes.' and 'Their standard will not go lower; their standard could go even higher.'

Hence, option 1 is the correct answer.

CMAT Mock Test - 6 (New Pattern) - Question 12

Directions: Read the passage carefully and select the best answer out of the given four alternatives.

The first thing is that the rich people of the world should start living in communes. Let those communes be of the rich! So they will not be dragged down from their standard of life, their comforts, and their luxuries. Let there be, around the world, hundreds of communes of rich people – that is, rich communes.

And to me, wealth is a certain kind of creativity. If five thousand rich people who have all created wealth individually are together, they can create wealth a millionfold.

Their standard will not go lower; their standard could go even higher. Or they can start sharing. They can start inviting people who are not rich but who are creative in some other way, who will enhance the life of their commune although they may be poor.

Five thousand rich people, together with their genius for creating wealth, are capable of creating so much wealth that they can invite thousands of other people who may not be rich in the sense of being wealthy, but who may be rich as painters, poets, dancers, singers.

What are you going to do only with wealth? You cannot play music on money; you cannot dance just because you have so much cash in the bank. And these rich communes can start becoming bigger, absorbing more and more creative people. They can make beautiful places all around the world, and slowly, new people can be absorbed.

For example, you will need plumbers, however rich you may be; you will need mechanics; technicians; you will need shoemakers. Invite them – and they come to you not as servants, but as members of the commune. Slowly, we can transform the whole world – without any bloodshed and without any dictatorship.

A communism that comes out of love, out of intelligence, out of generosity, will be real. A communism that comes through force is going to be unreal. There is not a single man in the world, howsoever poor, who has nothing to contribute. Around the world all the rich communes will need people; and slowly, slowly your commune will become bigger and bigger.

The rich will not become poor, but the poor will become rich, respectable, and equal – in no way inferior to anybody else – because they are also functioning in the same way as anybody else. And whatever they are doing is needed as much as anybody else's expertise is needed.

Q. Who all have something to contribute towards the making of the communes?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 12
The answer is clear from the given sentence, 'there is not a single man in the world, however poor, who has nothing to contribute'.

Hence, option 4 is the correct answer.

CMAT Mock Test - 6 (New Pattern) - Question 13

Directions: Read the passage carefully and select the best answer out of the given four alternatives.

The first thing is that the rich people of the world should start living in communes. Let those communes be of the rich! So they will not be dragged down from their standard of life, their comforts, and their luxuries. Let there be, around the world, hundreds of communes of rich people – that is, rich communes.

And to me, wealth is a certain kind of creativity. If five thousand rich people who have all created wealth individually are together, they can create wealth a millionfold.

Their standard will not go lower; their standard could go even higher. Or they can start sharing. They can start inviting people who are not rich but who are creative in some other way, who will enhance the life of their commune although they may be poor.

Five thousand rich people, together with their genius for creating wealth, are capable of creating so much wealth that they can invite thousands of other people who may not be rich in the sense of being wealthy, but who may be rich as painters, poets, dancers, singers.

What are you going to do only with wealth? You cannot play music on money; you cannot dance just because you have so much cash in the bank. And these rich communes can start becoming bigger, absorbing more and more creative people. They can make beautiful places all around the world, and slowly, new people can be absorbed.

For example, you will need plumbers, however rich you may be; you will need mechanics; technicians; you will need shoemakers. Invite them – and they come to you not as servants, but as members of the commune. Slowly, we can transform the whole world – without any bloodshed and without any dictatorship.

A communism that comes out of love, out of intelligence, out of generosity, will be real. A communism that comes through force is going to be unreal. There is not a single man in the world, however poor, who has nothing to contribute. Around the world all the rich communes will need people; and slowly, slowly your commune will become bigger and bigger.

The rich will not become poor, but the poor will become rich, respectable, and equal – in no way inferior to anybody else – because they are also functioning in the same way as anybody else. And whatever they are doing is needed as much as anybody else's expertise is needed.

Q. According to the passage, what kind of communism would we prefer?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 13
The answer can be got from the line, 'A communism that comes out of love, out of intelligence, out of generosity, will be real.'

Hence, option 2 is the correct answer.

CMAT Mock Test - 6 (New Pattern) - Question 14

Directions: The sentence has two blanks, each blank indicating that something has been omitted. Choose the set of words for the blanks which best fits the meaning of the sentence as a whole.

I ______ a friend named Raj who ________ a horse ranch which lies just outside the city.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 14
With 'I', we need a plural verb. With 'friend named Raj', the use of 'possess' and 'need' is incorrect. So, option 4 is correct.
CMAT Mock Test - 6 (New Pattern) - Question 15

Directions: In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.

One who changes sides

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 15
'Turncoat' is 'a person who deserts one party or cause in order to join an opposing one.'

So, option 2 is the correct answer.

CMAT Mock Test - 6 (New Pattern) - Question 16

Directions: Find the correct word to represent the phrase given below.

A disease peculiar to country

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 16
'Epidemic' is a disease that tends to spread out of a particular location.

'Contagious' and 'infectious' both mean an infectious disease that is capable of spreading an infection.

'Endemic' is an indigenous disease, a disease characteristic of a particular area or location. So, option 3 is the correct answer.

CMAT Mock Test - 6 (New Pattern) - Question 17

Directions: Fill the gap with the most appropriate word from the options given below.

Alice pulled a _______ face when she was told that she could not go to the cinema.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 17
'To pull a long face' is a verb phrase, which means to display disappointment or sadness.
CMAT Mock Test - 6 (New Pattern) - Question 18

Directions: The given sentence may contain only one error in grammar usage, diction (choice of words) or idiom. Select the numbered part that, according to you, contains the error. If there is no error, the answer is (D), i.e. No error.

Neither the girl nor her parents (A)/ was present (B)/ to receive the award. (C)/ No error (D)

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 18
With 'neither ... nor' correlative conjunctions, the verb is according to the subject it is closest to. In this case, the subject is 'parents'. So, plural verb 'were' will be used.
CMAT Mock Test - 6 (New Pattern) - Question 19

Directions: Four alternatives are given for the idiom/phrase underlined in the sentence. Choose the alternative which best expresses the meaning of the idiom/phrase.

When he asked me the way to the cafeteria, I told him to follow his nose.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 19
'To follow one's nose' means 'to go straight ahead; the direction that one's nose is pointing to'.

Thus, option (4) is the correct answer.

CMAT Mock Test - 6 (New Pattern) - Question 20

Directions: Fill the gap with the most appropriate word from the options given below.

John had _______ such heavy debts that nothing short of a miracle could save him from bankruptcy.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 20
We 'incur' debts, and 'accumulate' wealth. 'Incur' means to acquire or become liable to.
CMAT Mock Test - 6 (New Pattern) - Question 21

Find the least number of oranges needed to satisfy the thirst of 23 football players if one glass of juice requires 5 oranges and each player drinks 2 glasses of juice.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 21
Total number of football players = 23

Each player drinks 2 glasses of juice.

∴ Number of glasses of juice required = 23 × 2 = 46

Number of oranges needed for 1 glass juice = 5

Number of oranges needed for 46 glasses of juice = 46 × 5 = 230

CMAT Mock Test - 6 (New Pattern) - Question 22

A candidate is to be selected for an interview for two posts. The number of candidates for the first post is 5 and that for the second post is 6. Find the probability of getting at least one job.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 22
Probability that the candidate does not get an offer from the first interview is 4/5.

Probability that the candidate does not get an offer from the second interview is 5/6.

Total probability of not getting an offer =

Hence, probability of getting at least one job = 1 - 2/3 = 1/3

CMAT Mock Test - 6 (New Pattern) - Question 23

A square tile has a side of 2 m. What is the number of tiles required to cover the floor of a room with dimensions 16 m x 3 m?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 23
Side of the square tile = 2 m

Area of the square tile = (side)2 = (2 m)2 = 4 m2

Length of the room = 16 m

Width of the room = 3 m

Area of the room = 16 m x 3 m = 48 m2

Number of the tiles required on 48 m2 of area = Area of room/Area of tile = 48/4 = 12 tiles

CMAT Mock Test - 6 (New Pattern) - Question 24

In ΔABC, AB = AC. If P is a point taken on the side AB such that AP = PC = CB, then the measure of angle A is

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 24

In triangle ABC,

AB = AC

Therefore, ∠B = ∠C (Angles opposite to equal sides are equal.)

AP = PC

∴ ∠A = ∠ACP

BC = PC

Therefore, ∠B = ∠BPC

∠BPC = ∠A + ∠ACP (Exterior angle of a triangle is equal to the sum of the opposite interior angles.)

∠BPC = ∠A + ∠A

= 2∠A

Or ∠B = 2∠A = ∠C

∠A + ∠B + ∠C = 180°

∠A + 2∠A + 2∠A = 180°

5∠A = 180°

∠A = 180/5 = 36°

CMAT Mock Test - 6 (New Pattern) - Question 25

Which of the following expressions is the largest?

(44), 444, 444, (42)-4

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 25
Option (1): 44 = 4 × 4 × 4 × 4 = 256

Option (2):

Option (3): 444 = 444

Option (4): 444 = 44 × 44 × 44 × 44

Clearly, option (2) is the largest.

CMAT Mock Test - 6 (New Pattern) - Question 26

Which of the following statements regarding quadratic equations is/are true?

(A) The quadratic equation 2x2 + ax + a = 0 has real and equal roots and the values of a are 0 and 8.

(B) The sum and the product of the roots of the equation x2 - 5x + 6 = 0 are 5 and 6, respectively.

(C) The roots 2 and - 1/2 form the equation 2x2 - 3x - 2 = 0.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 26
For (A)

For equal roots, the discriminant D of 2x2 + ax + a = 0 should be zero.

D = a2 – 4(2)(a) = 0

a2 – 8a = 0

a(a – 8) = 0

a = 0, 8.

So, (A) is correct.

For (B)

Comparing x2 - 5x + 6 = 0 and ax2 + bx + c = 0,

a = 1, b = - 5 and c = 6

Therefore,

Sum of the roots = = 5

Product of the roots = c/α = 6/1 = 6

For (C)

The given roots are 2 and -1/2.

Therefore, sum of the roots,

And product of the given roots,

Therefore, the required equation is:

x2 – Sx + P, i.e. x2 - (sum of the roots) x + product of the roots = 0

i.e. 2x2 - 3x - 2 = 0

CMAT Mock Test - 6 (New Pattern) - Question 27

Two clocks begin to strike together. The first clock strikes every 3 seconds, while the second clock strikes every 2 seconds. What is the interval between the first clock's fifth stroke and the second clock's seventh stroke?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 27
The first clock has intervals of 3 seconds after each strike, while the second clock has intervals of 2 seconds after each strike.

The first clock will strike the fifth stroke after 4 intervals, i.e. 12 seconds.

The second clock will strike the seventh stroke after 6 intervals, i.e. 12 seconds.

Therefore, there is no time interval between the fifth stroke of the first clock and the seventh stroke of the second clock.

CMAT Mock Test - 6 (New Pattern) - Question 28

If the 4th term and 8th term of a GP respectively are 32 and 512, find out the 9th term of the GP.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 28

T4 = 32 = a1r3 ……. (1)

T8 = 512 = a1r7

r4 = 16

r = 2

Putting in (1), we get

32 = a1 × 23

32/8 = α1

a1 = 4

T9 = 4 × r8

= 4 × r8 = 1024

CMAT Mock Test - 6 (New Pattern) - Question 29

If 3 - 3 cos A - 2 sin2 A = 0, then the measure of angle A is

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 29
3 - 3 cos A - 2 sin2 A = 0

Or 3 - 3 cos A - 2(1 - cos2 A) = 0

3 - 3 cos A - 2 + 2 cos2 A = 0

Or 2 cos2 A - 3 cos A + 1 = 0

2 cos2 A - 2 cos A - cos A + 1 = 0

2 cos A (cos A - 1) - 1 (cos A - 1) = 0

(2 cos A - 1)(cos A - 1) = 0

cos A = 1/2 or cos A = 1

Or A = 60° or A = 0°

CMAT Mock Test - 6 (New Pattern) - Question 30

Directions: Study the following information carefully and answer the given question.

The number of products produced by different companies and the percentage of the three products produced by those companies are given below:

Q. The total number of cosmetics produced by company A and C is approximately what percent of the total number of products produced by the various companies together?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 30
Number of cosmetics produced by company A = 35% of 10 = 3.5

Number of cosmetics produced by company C = 50% of 7 = 3.5

Total number of products produced by various companies = 54

Required percentage = 7/54 x 100 = 12.96 ≈ 13

CMAT Mock Test - 6 (New Pattern) - Question 31

Directions: Study the following information carefully and answer the given question.

The number of products produced by different companies and the percentage of the three products produced by those companies are given below:

Q. The number of clothes produced by company C forms what percent of the number of clothes produced by company F?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 31

= 77.7%

CMAT Mock Test - 6 (New Pattern) - Question 32

Directions: Study the following information carefully and answer the given question.

The number of products produced by different companies and the percentage of the three products produced by those companies are given below:

Q. What is the approximate total number of clothes produced by companies B and D together?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 32
Number of clothes produced by company B + Number of clothes produced by company D

= 15% of 8 + 20% of 11

= 3 (approx)

CMAT Mock Test - 6 (New Pattern) - Question 33

After travelling a certain distance, a train develops a snag and its speed is decreased to half of its original speed and thus, it reaches its destination 45 minutes late. Had the snag occurred 30 km further, it would have reached its destination 15 minutes earlier. What is the speed of the train?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 33
If we think carefully, we may conclude that the speed of the train up to a certain distance is the same in both the cases and also, the speed after the distance of 30 km further is the same in both the cases. Thus, the difference in time, i.e. 15 minutes, is only due to the difference in speed for the 30 km journey.

Now, if the speed of the train is x km/h, then

x = 120 kmph

CMAT Mock Test - 6 (New Pattern) - Question 34

The marked price of an article is 40% above the cost price. The discount that may be allowed to make a profit of 12% is

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 34
MP = CP + 40% of CP = 1.4 CP

SP = CP + 12% of CP = 1.12 CP

Percentage discount =

= 0.28/1.4 x 100 = 20%

CMAT Mock Test - 6 (New Pattern) - Question 35

Given below are the two statements:

Statement I: Six positive integers add up to a total of less than 30. This set's smallest possible median is 1.

Statement II: If 8k2 + 4k = 4 and k > 0, then k must be equal to 1/4.

In the light of the above statements, choose the correct answer from the options given below.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 35
Statement I: Choosing numbers will help. If we choose 1, 1, 1, 1, 1 and 24, the sum is equal to 29, which is less than 30.

The median is 1.

Hence, statement 1 is true.

Statement II: Put k = 1/4 in 8k2 + 4k = 4

Hence, Statement 2 is false.

CMAT Mock Test - 6 (New Pattern) - Question 36

What will come in place of the question mark?

? = 39 + 4 × 6 × 24 ÷ 2 + 64 ÷ 2 × 91

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 36
? = 39 + 4 × 6 × 24 ÷ 2 + 64 ÷ 2 × 91

? = 39 + 4 × 6 × 12 + 32 × 91

? = 39 + 288 + 2912

? = 3239

CMAT Mock Test - 6 (New Pattern) - Question 37

In an election between two candidates, Mr. Hero secures 45% of the total votes, but is defeated by Mr. Zero by 300 votes. Find out the total number of votes polled, if it is known that all the votes polled are valid.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 37
Let the total number of votes polled be x.

So, (55% - 45%) of total votes (x) = 300

Or 10% of x = 300

Or x = 3000

CMAT Mock Test - 6 (New Pattern) - Question 38

A and B start a partnership business with capitals of Rs. 16,000 and Rs. 20,000. At the end of the 1 year and 6 months, they introduce C, who invests Rs. 12,000. At the end of 3 years, they got a profit of Rs. 12,600. Find the share of C in the profit.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 38
A and B each invested for 3 years, while C invested for a period of 1(1/2) years.

Ratio of investments of A, B and C

= 16,000 × 3 : 20,000 × 3 : 12,000 × 3/2

= 48 : 60 : 18 = 8 : 10 : 3

Share of C in the profit = Rs. 12,600 × 3/21

= 600 × 3 = Rs. 1800

CMAT Mock Test - 6 (New Pattern) - Question 39

The average price of three furniture items is Rs. 15,000. If their prices are in the ratio 3 : 5 : 7, then the price of the cheapest item is

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 39
Average price of 3 items = Rs. 15,000

Total price of 3 items = Rs. 15,000 × 3 = Rs. 45,000

Price ratio = 3 : 5 : 7

So, 3/15 is the price ratio for the cheapest item.

Price of the cheapest item = 3/15 × Rs. 45,000 = Rs. 9000

CMAT Mock Test - 6 (New Pattern) - Question 40

A man borrows a sum of money at simple interest at the rate of 5% per annum and lends it out at 4% per annum compound interest, payable yearly. Find his net gain or loss at the end of 2 years as a percentage of sum borrowed by him.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 40
SI (to be paid) = = 0.1P

CI (to be received) = A - P = P - P = 0.0816P

So, he has to pay 0.1P and he gets 0.0816P.

So, loss = 0.1P - 0.0816P = 0.0184P

Loss% = 0.0184P/P × 100 = 1.84%

CMAT Mock Test - 6 (New Pattern) - Question 41

Find the next term in the given series:

25, 52, 38, 83, 51, 15, 126, ___

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 41
In the given series, the first two numbers are related to each other, then the next two, and so on.

In each pair of numbers, the second number is formed by reversing the digits of the preceding number as shown below:

First number: 25

Now, reversing the digits of 25 we will get 52.

Therefore, the next term after 126 will be 621.

CMAT Mock Test - 6 (New Pattern) - Question 42

A is to the south of B, who is to the east of C. E is to the east of D, who is to the north of C. What is the direction of D with respect to A?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 42
The diagrammatic representation of the given scenario is shown below

D is to the north-west of A.

CMAT Mock Test - 6 (New Pattern) - Question 43

Find the odd one out.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 43
182 = 324; 232 = 529; 262 = 676

All are perfect squares of natural numbers, except 861.

CMAT Mock Test - 6 (New Pattern) - Question 44

Directions: In this question, the second figure of the problem figures bears a certain relationship to the first figure. Similarly, one of the figures in the answer figures bears the same relationship to the third figure. You have to select the figure from the set of answer figures which would replace the sign of question mark (?).

Question Figures

Answer Figures

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 44

Here, the relation is that the number of sides of the shape are decreasing by 2 whereas the circles inside the figure are decreasing by one.

So, figure b is correct.
so option (d)

CMAT Mock Test - 6 (New Pattern) - Question 45

Directions: In the following question, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

7, 65, 215, 513, 999, ?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 45
23 - 1 = 7

43 + 1 = 65

63 - 1 = 215

83 + 1 = 513

103 - 1 = 999

123 + 1 = 1729

CMAT Mock Test - 6 (New Pattern) - Question 46

Find the odd one out.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 46
In option (2), there is no vowel. In all the other options, there is a vowel. Hence, option (2) is the odd one.
CMAT Mock Test - 6 (New Pattern) - Question 47

Directions: Read the following information carefully and answer the given question.

i. Six persons A, B, C, D, E and F are sitting in two rows, friends among the persons sitting in same row, facing each other.

ii. E is not at the end of any row.

iii. D is second to the left of F.

iv. A, the friend of E and is sitting diagonally opposite to D.

v. B is the friend of F.

Q. Which of the following are sitting diagonally opposite to each other?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 47

F is sitting opposite A.

B is sitting opposite E.

D is sitting opposite C.

CMAT Mock Test - 6 (New Pattern) - Question 48

Pointing to a man in a photograph, a woman says, 'His brother's father is the only son of my grandfather.' How is the woman related to the man in the photograph?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 48
Only son of woman's grandfather = Woman's father

Man's brother father = Man's father

So, the woman is the man's sister.

CMAT Mock Test - 6 (New Pattern) - Question 49

Directions: In making decisions about an important question, it is desirable to be able to distinguish between 'strong' arguments and 'weak' arguments. 'Strong' arguments are those which are both important and directly related to the question. 'Weak' arguments are those which are of minor importance and also may not be directly related to the question or may be related to a trivial aspect of the question.

The question below is followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument, and mark your answer accordingly.

Should there be a common syllabus for a particular degree course in all the universities across India?

Arguments:

I. Yes, this will bring in uniformity in the degrees offered by various universities in India.

II. No, this is just not practicable and there is no need for this.

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 49
Argument I is strong as it presents a logical reason (uniformity) in favour of implementing a 'common' syllabus.

Argument II is weak as it fails to tell why it is not needed and why it is not practicable.

CMAT Mock Test - 6 (New Pattern) - Question 50

In a cricket team, batsmen Ricky, Sachin and Brian are the top three run-scorers in any order. Each of them gives two replies to any question, one of which is true and the other is false, in any order. Following were the replies they gave when it was asked that who was the top scorer.

Sachin: I got the top score. Ricky was second.

Brian: I got the top score. Sachin was second.

Ricky: I got the top score. Sachin was third.

Which of the following is the correct order of batsmen who got the top score, second best and third best score, respectively?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 50
From the given statements, two of the three have their first statement false.If we assume Sachin as top scorer, Ricky will be the third and thus all the statements from Brian are false.

Now if we consider Brian as top scorer, Brian will be the first, Ricky will be second and Sachin will be third, which satisfies all the conditions.

CMAT Mock Test - 6 (New Pattern) - Question 51

A cube is painted red on all its faces and then cut into 64 identical smaller cubes. How many of these smaller cubes have exactly two faces painted red?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 51

For a cube of side n*n*n painted on all sides which is uniformly cut into smaller cubes of dimension ,

Number of cubes with 0 side painted= (n-2)3

Number of cubes with 1 side painted =6(n - 2)2

Number of cubes with 2 sides painted= 12(n-2)

Number of cubes with 3 sides painted= 8(always)

so 12(4-2) = 12x2 = 24

CMAT Mock Test - 6 (New Pattern) - Question 52

In a certain code, “alpha beta gamma” means “He gives chocolates”, “theta delta gamma” means “Harry gets chocolates” and “alpha delta phi” means “He gets nothing”. What is the code for “nothing”?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 52
From the first two codes, it is clear that “gamma” is “chocolates”.

The code for “He gives” is “alpha beta”.

The code for “Harry gets” is “theta delta”.

Also, from comparison with the 3rd code, “alpha” is “he”, “delta” is “gets”; thus, “phi” is “nothing”.

CMAT Mock Test - 6 (New Pattern) - Question 53

Directions: This problem consists of four 'Question Figures' followed by four 'Answer Figures' (a, b, c and d). Select the Answer Figure which continues the same pattern as established by the Question Figures.

Question Figures

Answer Figures

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 53
The number of parts in which the shape is divided increases by one in each step. Therefore, the next shape should have five parts.

Hence option 1 is correct.

CMAT Mock Test - 6 (New Pattern) - Question 54

Directions: Read the following information carefully and answer the question given below it.

All the six members of a family, namely P, Q, R, S, T and U, are traveling together. Q is the son of R, but R is not the mother of Q. P and R are a married couple. T is the brother of R. S is the daughter of P. U is the brother of Q.

Q. How many male members are there in the family?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 54

& denotes Sibling.

Double-sided arrow denotes: Couple.

CMAT Mock Test - 6 (New Pattern) - Question 55

Directions: In the following question, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

40, 34, 29, 25, 22, ?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 55
The pattern being followed is

40 - (6) = 34

34 - (5) = 29

29 - (4) = 25

25 - (3) = 22

Likewise, 22 - (2) = 20

CMAT Mock Test - 6 (New Pattern) - Question 56

In a certain code language, '123' means 'bright little boy', '145' means 'tall big boy' and '637' means 'beautiful little flower'.

Which digit in this code language means 'bright'?

Detailed Solution for CMAT Mock Test - 6 (New Pattern) - Question 56
The code for 'bright little boy' is '123' and the code for tall big boy is '145'.

The common word and number in these two codes is 1 and boy, respectively. So the code for boy is 1.

Also, The code for 'bright little boy' is '123' and for beautiful little flower is '637'.

The common word and number in these two codes is 3 and little, respectively. So the code for little is 3.

Therefore, the code for bright is 2.

CMAT Mock Test - 6 (New Pattern) - Question 57

A man is facing west. He turns 45 degrees in the clockwise direction and then another 180 degrees in the same direction and then 270 degrees in the anticlockwise direction. Which direction is he facing now?