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CMAT Mock Test - 8 (New Pattern) - CAT MCQ


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100 Questions MCQ Test CMAT Mock Test Series - CMAT Mock Test - 8 (New Pattern)

CMAT Mock Test - 8 (New Pattern) for CAT 2024 is part of CMAT Mock Test Series preparation. The CMAT Mock Test - 8 (New Pattern) questions and answers have been prepared according to the CAT exam syllabus.The CMAT Mock Test - 8 (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 - 8 (New Pattern) below.
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CMAT Mock Test - 8 (New Pattern) - Question 1

Directions: Select the option that best replaces the underlined portion.

Whenever you are in a stew, you should let your reflexes work.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 1
'In a stew' refers to the bewildered or troubled state of a person and for the given statement, this idiom represents being in a problem. Thus, option (2) is the most appropriate answer.
CMAT Mock Test - 8 (New Pattern) - Question 2

Directions: In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase.

Alphabet soup

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 2
'Alphabet soup' is 'a confusing or confused mixture of things.'

So, option 1 is the correct answer.

CMAT Mock Test - 8 (New Pattern) - Question 3

Directions: Read the following passage and answer the given question.

With the opening up of the economies world over, each country has been trying to attract foreign capital through liberalised investment policies. In such a scenario, all investors are seeking those investment destinations which provide most protective, hospitable and profitable climate for their investments. Hence, many countries have entered into bilateral investment treaties or agreements which not only encourage capital flows into their own countries but also provide safe business environment for their own investors abroad.

Bilateral Investment Promotion and Protection Agreement (BIPA) is one such bilateral treaty which is defined as an agreement between two countries (or States) for the reciprocal encouragement, promotion and protection of investments in each other's territories by the companies based in either country (or State). The purpose of these agreements is to create such conditions which are favourable for fostering greater investments by the investors of one country in the territory of the other country. Such agreements are beneficial for both the countries because they stimulate their business initiatives and thus enhance their prosperity.

Generally, these bilateral agreements have, by and large, standard elements and provide a legal basis for enforcing the rights of the investors in the countries involved. They give assurance to the investors that their foreign investments will be guaranteed fair and equitable treatment, full and constant legal security and dispute resolution through international mechanism.

With liberalisation of the foreign investment policy of India, the Government undertook negotiations with a number of countries and entered into Bilateral Investment Promotion & Protection Agreements (BIPAs) with them. This was done with a view to provide predictable investment climate to foreign investments in India as well as to protect Indian investments abroad. The Government of India has, so far, signed BIPAs with 62 countries out of which 50 BIPAs have already come into force and the remaining agreements are in the process of being enforced. In addition, agreements have also been finalised and/or being negotiated with a number of other countries.

Q. Which of the following statements is true about bilateral agreements?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 3
The line '...provide a legal basis for enforcing the rights of the investors in the countries involved' suggests the answer. Investors do not get new rights but chance to enforce their rights. Option 3 is the answer.
CMAT Mock Test - 8 (New Pattern) - Question 4

Directions: Read the following passage and answer the given question.

With the opening up of the economies world over, each country has been trying to attract foreign capital through liberalised investment policies. In such a scenario, all investors are seeking those investment destinations which provide most protective, hospitable and profitable climate for their investments. Hence, many countries have entered into bilateral investment treaties or agreements which not only encourage capital flows into their own countries but also provide safe business environment for their own investors abroad.

Bilateral Investment Promotion and Protection Agreement (BIPA) is one such bilateral treaty which is defined as an agreement between two countries (or States) for the reciprocal encouragement, promotion and protection of investments in each other's territories by the companies based in either country (or State). The purpose of these agreements is to create such conditions which are favourable for fostering greater investments by the investors of one country in the territory of the other country. Such agreements are beneficial for both the countries because they stimulate their business initiatives and thus enhance their prosperity.

Generally, these bilateral agreements have, by and large, standard elements and provide a legal basis for enforcing the rights of the investors in the countries involved. They give assurance to the investors that their foreign investments will be guaranteed fair and equitable treatment, full and constant legal security and dispute resolution through international mechanism.

With liberalisation of the foreign investment policy of India, the Government undertook negotiations with a number of countries and entered into Bilateral Investment Promotion & Protection Agreements (BIPAs) with them. This was done with a view to provide predictable investment climate to foreign investments in India as well as to protect Indian investments abroad. The Government of India has, so far, signed BIPAs with 62 countries out of which 50 BIPAs have already come into force and the remaining agreements are in the process of being enforced. In addition, agreements have also been finalised and/or being negotiated with a number of other countries.

Q. Directions: Choose the word/group of words which is most similar in meaning to the word printed in bold as used in the passage.

RECIPROCAL

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 4
"Reciprocal" means "related to each other or mutual". Here the term refers to the mutual encouragement, promotion and protection of investments among countries by their local companies.
CMAT Mock Test - 8 (New Pattern) - Question 5

Directions: Read the following passage and answer the given question.

With the opening up of the economies world over, each country has been trying to attract foreign capital through liberalised investment policies. In such a scenario, all investors are seeking those investment destinations which provide most protective, hospitable and profitable climate for their investments. Hence, many countries have entered into bilateral investment treaties or agreements which not only encourage capital flows into their own countries but also provide safe business environment for their own investors abroad.

Bilateral Investment Promotion and Protection Agreement (BIPA) is one such bilateral treaty which is defined as an agreement between two countries (or States) for the reciprocal encouragement, promotion and protection of investments in each other's territories by the companies based in either country (or State). The purpose of these agreements is to create such conditions which are favourable for fostering greater investments by the investors of one country in the territory of the other country. Such agreements are beneficial for both the countries because they stimulate their business initiatives and thus enhance their prosperity.

Generally, these bilateral agreements have, by and large, standard elements and provide a legal basis for enforcing the rights of the investors in the countries involved. They give assurance to the investors that their foreign investments will be guaranteed fair and equitable treatment, full and constant legal security and dispute resolution through international mechanism.

With liberalisation of the foreign investment policy of India, the Government undertook negotiations with a number of countries and entered into Bilateral Investment Promotion & Protection Agreements (BIPAs) with them. This was done with a view to provide predictable investment climate to foreign investments in India as well as to protect Indian investments abroad. The Government of India has, so far, signed BIPAs with 62 countries out of which 50 BIPAs have already come into force and the remaining agreements are in the process of being enforced. In addition, agreements have also been finalised and/or being negotiated with a number of other countries.

Q. According to the passage, which of the following statements is not true?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 5
Profitability is one of the factors among other factors like protection and hospitality. So, option (4) is the correct answer.

Options 1 and 3 are supported by, "With the opening up of the economies world over, each country has been trying to attract foreign capital through liberalised investment policies."

Option 2 is supported by, "In such a scenario, all investors are seeking those investment destinations which provide most protective, hospitable and profitable climate for their investments."

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

Directions: Read the following passage and answer the given question.

With the opening up of the economies world over, each country has been trying to attract foreign capital through liberalised investment policies. In such a scenario, all investors are seeking those investment destinations which provide most protective, hospitable and profitable climate for their investments. Hence, many countries have entered into bilateral investment treaties or agreements which not only encourage capital flows into their own countries but also provide safe business environment for their own investors abroad.

Bilateral Investment Promotion and Protection Agreement (BIPA) is one such bilateral treaty which is defined as an agreement between two countries (or States) for the reciprocal encouragement, promotion and protection of investments in each other's territories by the companies based in either country (or State). The purpose of these agreements is to create such conditions which are favourable for fostering greater investments by the investors of one country in the territory of the other country. Such agreements are beneficial for both the countries because they stimulate their business initiatives and thus enhance their prosperity.

Generally, these bilateral agreements have, by and large, standard elements and provide a legal basis for enforcing the rights of the investors in the countries involved. They give assurance to the investors that their foreign investments will be guaranteed fair and equitable treatment, full and constant legal security and dispute resolution through international mechanism.

With liberalisation of the foreign investment policy of India, the Government undertook negotiations with a number of countries and entered into Bilateral Investment Promotion & Protection Agreements (BIPAs) with them. This was done with a view to provide predictable investment climate to foreign investments in India as well as to protect Indian investments abroad. The Government of India has, so far, signed BIPAs with 62 countries out of which 50 BIPAs have already come into force and the remaining agreements are in the process of being enforced. In addition, agreements have also been finalised and/or being negotiated with a number of other countries.

Q. Directions: Choose the word/group of words which is opposite in meaning to the word printed in bold as used in the passage.

STIMULATE

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 6
Here, "stimulate" means "to encourage". The context is that bilateral agreements are beneficial for both the countries because they encourage their business initiatives and thus enhance their prosperity. Dissuade means to discourage or prevent an action from happening. Hence, option 1 is the correct answer.
CMAT Mock Test - 8 (New Pattern) - Question 7

Directions: Choose the appropriate word from the given options and fill in the blank.

One of the most important lessons that parents must teach young children is to always be _______ of strangers.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 7
To be 'wary' is to be watchful and on guard against danger. This is the correct answer as this completes the sentence meaningfully and indicates that children should be taught to be careful of strangers.
CMAT Mock Test - 8 (New Pattern) - Question 8

Directions: In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase.

Bring home the bacon

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 8
'Bring home the bacon' means 'to earn money for the family to live on.'

So, option 3 is the correct answer.

CMAT Mock Test - 8 (New Pattern) - Question 9

Directions: Identify the incorrect sentence(s).

A. The letter was posted to the address.

B. Your argument is redundant.

C. How do you deal with friend who doesn’t listen to any reason?

D. My wife runs profitable business in this suburb.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 9
C: It should have been '...deal with a friend'.

D: It should have been '...runs a profitable business'.

CMAT Mock Test - 8 (New Pattern) - Question 10

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

Really good talk is one of the greatest pleasures and yet how rarely one comes across it. There are a good many people among my acquaintances who, on occasions, are capable of talking well. But what they seem to lack is initiative and deliberate purpose. If people would only look upon conversation in a more serious light, much would be gained. I do not of course mean, heaven forbid, that people should try to converse seriously; that results in the worst kind of dreariness in feeling, as Stevenson said that one has the brain of a sheep and the eyes of a boiled codfish. What I mean is that the more seriously one takes an argument, the more amusing it becomes. What I wish is that people would apply the same sort of seriousness to talk that they apply to golf and bridge, just as they desire to improve their game, brood over their mistakes, try to do better. Why is it that so many people would think it effeminate to try to improve their talk, yet think it manly and rational to try to shoot better? Of course, it must be done with a natural zest and enjoyment or it is useless. It is all very well to know beforehand the kind of line you would wish to take; but spontaneity is a necessary ingredient to talk and to make up one's mind to get certain stories in, is to deprive talk of its fortuitous charm.

Q. The applying of seriousness to talk has been compared with something in

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 10
The passage mentions 'What I wish is that people would apply the same sort of seriousness to talk that they apply to golf and bridge ...'. So, option 3 is correct.
CMAT Mock Test - 8 (New Pattern) - Question 11

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

Really good talk is one of the greatest pleasures and yet how rarely one comes across it. There are a good many people among my acquaintances who, on occasions, are capable of talking well. But what they seem to lack is initiative and deliberate purpose. If people would only look upon conversation in a more serious light, much would be gained. I do not of course mean, heaven forbid, that people should try to converse seriously; that results in the worst kind of dreariness in feeling, as Stevenson said that one has the brain of a sheep and the eyes of a boiled codfish. What I mean is that the more seriously one takes an argument, the more amusing it becomes. What I wish is that people would apply the same sort of seriousness to talk that they apply to golf and bridge, just as they desire to improve their game, brood over their mistakes, try to do better. Why is it that so many people would think it effeminate to try to improve their talk, yet think it manly and rational to try to shoot better? Of course, it must be done with a natural zest and enjoyment or it is useless. It is all very well to know beforehand the kind of line you would wish to take; but spontaneity is a necessary ingredient to talk and to make up one's mind to get certain stories in, is to deprive talk of its fortuitous charm.

Q. Many people, who converse well, sometimes become dull due to lack of

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 11
It is given, "But what they seem to lack is initiative and deliberate purpose." So, it is correct.
CMAT Mock Test - 8 (New Pattern) - Question 12

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

Really good talk is one of the greatest pleasures and yet how rarely one comes across it. There are a good many people among my acquaintances who, on occasions, are capable of talking well. But what they seem to lack is initiative and deliberate purpose. If people would only look upon conversation in a more serious light, much would be gained. I do not of course mean, heaven forbid, that people should try to converse seriously; that results in the worst kind of dreariness in feeling, as Stevenson said that one has the brain of a sheep and the eyes of a boiled codfish. What I mean is that the more seriously one takes an argument, the more amusing it becomes. What I wish is that people would apply the same sort of seriousness to talk that they apply to golf and bridge, just as they desire to improve their game, brood over their mistakes, try to do better. Why is it that so many people would think it effeminate to try to improve their talk, yet think it manly and rational to try to shoot better? Of course, it must be done with a natural zest and enjoyment or it is useless. It is all very well to know beforehand the kind of line you would wish to take; but spontaneity is a necessary ingredient to talk and to make up one's mind to get certain stories in, is to deprive talk of its fortuitous charm.

Q. Really good talk, even though it is rare, is always very

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 12
From the first line of the passage, it is clear that really good talk is one of the greatest pleasures. So, 'pleasing' is correct. Other options are not mentioned in the passage or are contradictory to the passage.
CMAT Mock Test - 8 (New Pattern) - Question 13

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

Because of his __________ sense of self-importance, Larry often tried to _________ our activities.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 13
The second blank will be governed by the first. If the sense of importance is low, then he will hesitate to meddle in affairs of others, and if it is high, then he will meddle. 'Exaggerated sense of self-importance' is cogent with 'monopolise'. Hence, option 4 is the correct answer.

Option 1 is incorrect as diffuse does not go with "our activities".

Option 2 is incorrect as modest and dominate are antonymous.

Option 3 is incorrect as insecure and violate are antonymous.

CMAT Mock Test - 8 (New Pattern) - Question 14

Directions: In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.

If a guru is a kind of hired teacher (1)/ none of his roles hits the mark (2)/ of what is intended. (3)/ No error (4)

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 14
The sentence is a conditional sentence. With simple present tense in the conditional clause, simple future tense will be used in the main clause. So, the correct phrase will be 'roles will hit the mark'.
CMAT Mock Test - 8 (New Pattern) - Question 15

Directions: Out of the given alternatives, choose the one that best expresses the meaning of the underlined part of the sentence.

The defendant was grateful for the judge's clemency.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 15
'Clemency' means 'the quality of being clement; disposition to show forbearance, compassion or forgiveness in judging or punishing; leniency; mercy'.
CMAT Mock Test - 8 (New Pattern) - Question 16

Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.

When you drink the sweet coconut water, (1)/ it is a metaphor for experience joy within, (2)/ free of ego and other hassles. (3)/ No error (4)

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 16
(2) is the incorrect part. After 'for' a gerund form is used. So, the correct phrase will be 'for experiencing'.
CMAT Mock Test - 8 (New Pattern) - Question 17

Directions: The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.

P: Bureaucratic cultures can smother those who want to respond to shifting conditions.

Q: Arrogant managers can over evaluate their current performance and competitive position by listening poorly and learning slowly.

R: And the lack of leadership leaves no force inside these organisations to break out of the morass.

S: Inwardly focused employees can have difficulty seeing the very forces that present threats and opportunities.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 17
Q is the opening sentence as it introduces the main problem of overestimating, and other statements talk about this problem. S follows Q as over evaluating oneself leads to inwardly focused employees. Next comes P as the words 'threats and opportunities' in S further relate to the words 'shifting conditions' in P. R comes last because it refers to breaking out of the situations created by bureaucratic cultures (in P). Hence, option 3 is the correct option.
CMAT Mock Test - 8 (New Pattern) - Question 18

Directions: Identify the incorrect sentence(s).

A. I want to do an MBA before going into business.

B. Priti's husband has been on duty for three months.

C. The horse suddenly broke into a buckle.

D. I need to file an insurance claim.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 18
(C) is incorrect.

The correct sentence is "The horse suddenly broke into a gallop". It means the horse suddenly began running.

CMAT Mock Test - 8 (New Pattern) - Question 19

Directions: The question below consists of a set of labelled sentences. These sentences, when properly sequenced, form a coherent paragraph. Select the most logical order of sentences from among the options.

P: Unlike what we've heard for a long time about Facebook and Google, this data-collecting spree is not about selling it for money or using it to target advertisements better.

Q: Once a platform is in place to ensure a steady supply of fresh data to train an algorithm, the company can eventually move to a position where it can offer an array of AI solutions for which, unlike online search or social networking, you have to pay.

R: Rather, it is about using them to train algorithms.

S: Platform businesses leverage their ability to scale-up the digitisation of a given activity to quickly build monopolies that, in turn, boost their ability to collect more data.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 19
Sentence S forms the opening statement as it introduces the given context - 'platform businesses'. It is followed by sentence P as 'this data-collecting spree' refers to 'ability to collect more data' mentioned in the preceding sentence. Next in order is sentence R as it elaborates the usage of collected data mentioned in P - the data is not used for selling but to train algorithms. Sentence Q forms the concluding assertion and explains further on the point of training algorithms. So, the correct order is: SPRQ.
CMAT Mock Test - 8 (New Pattern) - Question 20

Directions: Identify the incorrect sentence(s).

A. I must run fast to catch up with him.

B. The newly released book is enjoying a popular run.

C. The doctor's advice is to let the fever run its course.

D. You can't run over him like that.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 20
Sentence D is erroneous. Run over means 'to hit and drive over with a vehicle' which does not fit into the context. The appropriate phrase is 'run him down' which means to 'criticize somebody in an unkind way'.
CMAT Mock Test - 8 (New Pattern) - Question 21

The average score of a batsmen in five 20 over matches is 48. If he scored 120 runs in third match:

(A) The scores he scored in rest of the matches is more than the runs he scored in 3rd match.

(B) The ratio of score in 3rd match to rest of the four matches is 6 : 5.

(C) The total scores he scored in all the five matches is 240.

(D) The average of rest of the four matches is 30.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 21
The average score of a batsmen in 5 matches is 48.

We know, Average = Total Score/No. of matches

48 = Total Score/5

Total Scores = 48 × 5 = 240

According to statement A:- The runs he scored in rest of the matches is more than the runs he scored in 3rd match is false as in third match, he scored 120 runs.

Hence, in rest of the 4 matches, 240 - 120 = 120, which is same as the runs he scored in 3rd match.

According to statement B:- The ratio of score in 3rd match to rest of the four matches is 6 : 5 is false, as,

Ratio =

= Ratio = 120/120 = 1.1.

According to statement C:- The total scores he scored in all the five matches is 240 is true,

as, we know Average = Total Score/No. of matches

48 = Total Score/5

Total Scores = 48 × 5 = 240.

According to statement D:- The average of the rest of the four matches is 30.

We know Average =

CMAT Mock Test - 8 (New Pattern) - Question 22

Find the volume of water (in litres) that is flowing through a cylindrical pipe of diameter 14 m in a minute, if water is flowing at a rate of 30 km/hr.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 22
Cross-sectional area Velocity = Volume/time = Rate of flow = πr2 x v = v/t

V = 77000 m3 or 77000 x 103 litres or 7.7 x 107 litres. (1 m3 = 103 litres)

CMAT Mock Test - 8 (New Pattern) - Question 23

Directions: Answer the question on the basis of the given table.

Payment of a company (in lakh rupees) per annum over the given years

Total payment of all items in 2011 was approximately what percent of the total payment in 2012?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 23
Required percentage =

= 410/537.92 x 100

= = 76.21% ~ 76%

CMAT Mock Test - 8 (New Pattern) - Question 24

A screwdriver and a hammer currently have the same price. If the price of a screwdriver rises by 5% and the price of a hammer goes up by 3%, how much more will it cost to buy 3 screwdrivers and 3 hammers?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 24
Let the initial cost of the screwdriver and the hammer be equal to Rs. x.

Initial price of 3 screwdrivers and 3 hammers = Rs. 3x + Rs. 3x = Rs. 6x

Now, cost of one screwdriver = x + 0.05x = 1.05x

Cost of one hammer = x + 0.03x = 1.03x

Cost of 3 screwdrivers and 3 hammers = (3 x 1.05x) + (3 x 1.03x) = 6.24x

Required percentage =

CMAT Mock Test - 8 (New Pattern) - Question 25

Find out the value of 'x'.

of 690 - 175% of 460 = x% of 850.30

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 25
of 690 - 175% of 460 = x% of 850.30

32/10 of 690 - 175% of 460 = x% of 850.30

= x% of 850.30

2208 - 805 = x% of 850.30

1403 = x% of 850.30

x = 165

CMAT Mock Test - 8 (New Pattern) - Question 26

The difference between the third and first terms of a GP is 3. If the first term and the common ratio of the GP are positive integers, then find the sum of the first three terms of the progression.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 26
Let the 3 terms of the GP be a, ar and ar2.

Given: ar2 – a = 3

a(r2 – 1) = 3

a(r + 1)(r – 1) = 3

Since ‘a’ and ‘r’ are positive integers,

⇒ a = 1 and r = 2

So, the numbers are 1, 2 and 4.

Sum = 1 + 2 + 4 = 7

CMAT Mock Test - 8 (New Pattern) - Question 27

Find the number of ways in which 14 persons can sit on 14 chairs such that 3 particular persons always sit together.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 27
14 persons can sit in 14! ways. However, since 3 particular persons always sit together, then the 3 persons can be considered as 1 group. Hence, 14 persons can sit in (14 – 3 + 1)! ways or 12! ways.

Now, the 3 persons sitting together can change positions among themselves. This can happen in 3! ways.

Hence, the total number of ways is 12! x 3!.

CMAT Mock Test - 8 (New Pattern) - Question 28

If the natural numbers starting from 1 are written one after the other to form a 121-digit number, then what will be the last digit of the resultant number?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 28
Single digit numbers: 9 digits from 1 to 9.

2-digit natural numbers: (121 – 9)/2 = 112/2 = 56

This means the 2-digit natural numbers shall begin from 10 and go on till 65. (65 – 10 + 1 = 56 numbers)

Hence, the last digit shall be 5.

CMAT Mock Test - 8 (New Pattern) - Question 29

What will be the value of

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 29

CMAT Mock Test - 8 (New Pattern) - Question 30

Which of the following graph(s) is/are of f(x) = x2?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 30
After calculating the domain and range of f(x) = x2, we get the points (-2, 4), (-1, 1), (0, 0), (1, 1) and (2, 4). So, according to calculated points, graph in option (2) is correct.
CMAT Mock Test - 8 (New Pattern) - Question 31

In the figure given below, PQRS is a parallelogram. PA bisects angle P and SA bisects angle S.


Find ∠PAS ?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 31

We know the fact that adjacent angles of a parallelogram are supplementary.

So, ∠QPS + ∠PSR = 180° ...(i)

And, ∠APS + ∠ASP + ∠PAS = 180° ...(ii)

1/2 ∠QPS + 1/2 ∠PSR + ∠PAS = 180°

1/2 (∠QPS + ∠PSR) + ∠PAS = 180° ...from (i)

90° + ∠PAS = 180°

∠PAS = 90°

CMAT Mock Test - 8 (New Pattern) - Question 32

Order the following numbers in the descending order.

(a) = √12/2

(b) = √7/4

(c) = √28/2

(d) = √3/4

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 32
According to the question,

So, the descending order is 2.65, 1.73, 0.66, 0.43.

CMAT Mock Test - 8 (New Pattern) - Question 33

A person invested Rs. 100,000 at 8% simple interest for 5 years and reinvested the amount received at 10% compounded yearly for 2 years. What was the final amount received by him?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 33
SI = where SI: Simple Interest

P: Principal

R: Rate

t = time

SI = = 40,000

Amount = SI + P = 40,000 + 100,000 = Rs. 1,40,000

Now, A =

where A: Amount received after principal (P) gets compounded at rate ‘r’ for tenure ‘t’.

A = 1,40,000 = 1,40,000 x (1.1)2

= 1,40,000 x 1.21 = Rs. 1,69,400

CMAT Mock Test - 8 (New Pattern) - Question 34

Out of 460 employees in an organisation, 240 are MBA, 160 are B.Tech and 45 are both MBA and B.Tech. How many employees are neither MBA nor B.Tech?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 34

a + g = 240

b + g = 160

g = 45

⇒ a = 195

⇒ b = 115

Grand total = 460 = a + b + g + n

460 = 195 + 115 + 45 + n

n = 105

CMAT Mock Test - 8 (New Pattern) - Question 35

When two students of a class of 40 students were expelled, the average age of the class, which was 18 years, did not change. If one of the students was 14 years old, what was the age (in years) of the second student?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 35

Solving (1) and (2), we get A = 36

Hence, age of the 2nd student = A – 14 = 36 – 14 = 22 years

OR

It is given that after expelling two students out of 40 students, the average remains the same, which was 18 years. This means, the average age of the two students will also be 18 years. It is given that the age of the one student is 14 years.

Let the age of the second student be x years.

So,

(x + 14)/2 = 18

x = 22 years

CMAT Mock Test - 8 (New Pattern) - Question 36

Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 36
Total number of ways = 6 6 6 = 63 = 216

Number of ways to get a total more than 15:

556

565

566

656

655

665

666

664

646

466

Number of ways to get a total more than 15 = 10

Probability = 10/216 = 5/108

CMAT Mock Test - 8 (New Pattern) - Question 37

A person covers 180 km, 240 km and 300 km by car, train and bus, respectively. Find the average speed of the whole journey if the speeds of the car, train and bus are 60 km/hr, 80 km/hr and 50 km/hr, respectively.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 37
Average speed =

CMAT Mock Test - 8 (New Pattern) - Question 38

A and B together can do a piece of work in 12 days. A and C together can do the work in 20 days. If three of them together can do the work in 8 days, then in how many days can A alone do the work?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 38
Work done in 1 day by A and B = …………..(1)

Work done in 1 day by A and C = …………..(2)

Work done by A, B and C = ....(3)

To find A = ?

(1) + (2) – (3)

CMAT Mock Test - 8 (New Pattern) - Question 39

If a and b are the roots of equation , what is the modulus of the product of one root with the reciprocal of the other?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 39
Let

Then, the equation gets reduced to

On simplifying, we get

5t2 - 26t + 5 = 0

On factorising, we get

(t - 5)(5t - 1) = 0

Hence, t = 5 or 1/5

When

5x + 10 = x - 2

4x = -12

Or x = -3

When

x + 2 = 5x - 10

4x = 12

Or x = 3

Required product = -1, the modulus of which is 1.

Hence, answer option 1 is correct.

CMAT Mock Test - 8 (New Pattern) - Question 40

Anil started a firm with a capital of Rs. 28,000. After 5 months, Boman joined him and invested Rs. 40,000 in the firm. Chirag was also added as a new partner with an individual investment of Rs. 56,000 after 7 months of commencement. If at the end of the year, the profit of the firm is Rs. 32,000, what is the share (in Rs.) of Boman?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 40
Distribution of profit shall be proportionate to Investment X Tenure of investment.

= (28,000 x 12) : (40,000 x 7) : (56,000 x 5)

= 336 : 280 : 280

Boman's share of profit: 280/(336 + 280 + 280) 32,000 = Rs. 10,000

CMAT Mock Test - 8 (New Pattern) - Question 41

Which number in the given series is INCORRECT?

11, 30, 67, 120, 219, 346

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 41
11, 30, 67, 120, 219, 346

In each term, 3 is added to a cube number.

23 + 3 = 8 + 3 = 11

33 + 3 = 27 + 3 = 30

43 + 3 = 64 + 3 = 67

53 + 3 = 125 + 3 = 128 ≠ 120

63 + 3 = 216 + 3 = 219

73 + 3 = 343 + 3 = 346

So, 120 is the incorrect term.

CMAT Mock Test - 8 (New Pattern) - Question 42

Select the related number from the given alternatives.

236 : 472 : : 123 : ?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 42
Here,

236 × 2 = 472

Similarly,

123 × 2 = 246

So, 236 : 472 : : 123 : 246

CMAT Mock Test - 8 (New Pattern) - Question 43

Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 43
In the letter-clusters KNQT, FILO and QTWZ, each letter is increasing by three; but in POWZ, they are not in the serial order.

K + 3 = N

N + 3 = Q

Q + 3 = T

CMAT Mock Test - 8 (New Pattern) - Question 44

Ameeta walks 20 m towards the north and then turns right and walks 30 m. Then she turns left and walks 25 m. After that, she turns right and walks 30 m. From there, she turns right and walks 65 m. Then she again turns left and walks 40 m. She finally turns left and walks 20 m. How far is she from her home now and in which direction with reference to her home?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 44

Distance between her current position and her home = 30 + 30 + 40 = 100 m in east (from her home)

Hence, option 3 is the answer.

CMAT Mock Test - 8 (New Pattern) - Question 45

In the given figure, how many players are quick and fat?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 45

Number of players who are quick and fat is the intersection of the three circles = 30.

CMAT Mock Test - 8 (New Pattern) - Question 46

Directions: In the following question, a statement is followed by two conclusions. You have to take the given statement to be true even if it seems to be at variance with commonly known facts, and then decide which of the given conclusions logically follows from the statement, disregarding commonly known facts.

Statement: Ten persons who were on the waiting list could finally get berth reservation of the Frontier Mail.

Conclusions:

I. Wait-listed passengers generally find it difficult to get berth reservation of the Frontier Mail.

II. The number of berths available on the Frontier Mail is small.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 46
Getting a berth in the Frontier Mail has been emphasised in the statement by the usage of the word 'finally'. So, it can be inferred that wait-listed passengers find it difficult to get a berth reserved.
CMAT Mock Test - 8 (New Pattern) - Question 47

Directions: In the question given below, three statements are given followed by two conclusions I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read the conclusions and then decide which of them logically follow(s) from the given statements disregarding commonly known facts.

Statements:

All girls are shy.

Some girls are mean.

Only a few mean are beautiful.

Conclusions:

I. Some beautiful can be girls.

II. All beautiful can be mean.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 47
According to the given statements, the relations are shown below

Therefore, both conclusions follow.

CMAT Mock Test - 8 (New Pattern) - Question 48

Select the missing number from the given options.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 48
Here, the pattern is

In the first column,

x = 7

y = 8

x2 + y2 = 113

In the same way,

3rd Column

x = 14 , y = 9

x2 + y2 = (14)2 + (9)2 = 196 + 81 = 277

CMAT Mock Test - 8 (New Pattern) - Question 49

Directions: In the following question, a statement is followed by assumptions I and II. You are to consider the statement and the assumptions that follow and decide which of the assumptions is/are implicit in the statement.

Statement:

Keep your tongue and your temper in control. Rakesh is a person of few words.

Assumptions:

I. Rakesh does not lose his temper.

II. Rakesh has control over his tongue.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 49
'A man of few words' is the phrase that explains that he has control over his tongue. Hence, 'II' is the only assumption that is implicit in the given case because Rakesh's temper has not been talked about in the given case.
CMAT Mock Test - 8 (New Pattern) - Question 50

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 problem 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 - 8 (New Pattern) - Question 50
The element at the top exchanges their position diagonally with the bottom elements and after exchanging the new top elements interchange their positions. Further, while the hexagon rotates 90°, the triangle and the pentagon rotate 180°. Applying the same logic, answer option (2) is correct.

CMAT Mock Test - 8 (New Pattern) - Question 51

Select the letter that can replace the question mark (?) in the following series.

E, Y, U, O, K, ?, A

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 51
The pattern is

Hence, the correct answer is option (1).

CMAT Mock Test - 8 (New Pattern) - Question 52

Select the odd letters from the given alternatives.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 52
The pattern being followed is

(i) A + 3 = D; D + 3 = G

(ii) H + 3 = K; K + 3 = N

(iii) O + 3 = R; R + 3 = U

BDF does not follow this pattern as:

B + 2 = D; D + 2 = F

CMAT Mock Test - 8 (New Pattern) - Question 53

In a certain code language, CIRCULAR is coded as 24-3-9-24-1-15-5-9. How will VERTICAL be coded as in that language?

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 53
CIRCULAR is coded as 24-3-9-24-1-15-A-R.

If the letters of the English alphabet are written in reverse order, C is the 24th letter, R is the 9th letter and L is the 15th letter.

Thus, the code for C is 24, for R is 9 and for L is 15.

Now, if the vowels of the English alphabet are written in reverse order as U, O, I, E, A; U is coded as 1, O as 2, I as 3, E as 4 and A as 5.

Thus, the consonants in a word are coded as the position at which they would occur if the letters of the English alphabet are written in reverse order and the vowels are coded as shown.

Thus, the code for VERTICAL is 5-4-9-7-3-24-5-15.

Hence, answer option 2 is correct.

CMAT Mock Test - 8 (New Pattern) - Question 54

Directions: Consider the following statements to be true even if they seem to be at variance from the commonly known facts and decide which of the conclusions logically follow(s) from the statements.

Statements:

A. All roads are vehicles.

B. Some vehicles are trees.

Conclusions:

I. Some trees are roads.

II. All vehicles are trees.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 54
According to the following diagram,

(I) Some trees are roads. --- does not follow

(II) All vehicles are trees. --- does not follow

CMAT Mock Test - 8 (New Pattern) - Question 55

Directions: Answer the given question based on the following information.

Anand, Basant, Chetan and Diganto are married to Alka, Bharti, Chhaya and Divya, not necessarily in that order. Basant and Diganto are not married to Divya or Bharti. Anand is not married to Bharti or Chhaya.

Bharti is married to

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 55
From the given information, two conclusions can be obtained

1. Anand is not married to Bharti or Chhaya i.e Anand can either be married to Divya or Alka

2. Basant and Diganto are not married to Divya or Bharti i.e Basant and Diganto are married between Alka or Chhaya

Using these two conclusions we can see that

Since, Alka would be married to either one of Basant or Diganto, Anand would surely be married to Divya

Which leaves Chetan and Bharti as a pair as well.

Which gives two final possible set of pairs between the males and the females i.e.

1. When Basant is married to Alka

2. When Basant is married to Chhaya

Therefore, Chetan is married to Bharti.

CMAT Mock Test - 8 (New Pattern) - Question 56

Directions: The question given below is followed by two arguments numbered I and II. You have to decide which of the given arguments is a 'strong' argument and which is a 'weak' argument and then mark the correct option accordingly.

Should the minimum age required for voting be decreased?

Arguments:

I. Yes, people grow before the age of 18.

II. No, as the person at the age of 18 has knowledge of rights and duties.

Detailed Solution for CMAT Mock Test - 8 (New Pattern) - Question 56
By the age of 18, a person is qualified enough to think about the society and understand his/her rights.
CMAT Mock Test - 8 (New Pattern) - Question 57

Arrange the following words in the order in which they appear in an English dictionary.

1. Appear

2. Apparent

3. Apostle

4. Apology

5. Appetite