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CMAT Mock Test - 2 (New Pattern) - CAT MCQ


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30 Questions MCQ Test - CMAT Mock Test - 2 (New Pattern)

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CMAT Mock Test - 2 (New Pattern) - Question 1

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'.

Speaking hastily makes us judgemental; that’s where we begin (1)/ making boundaries and go back with a very (2)/ boxed idea of the place and people one visit. (3)/ No Error (4)

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 1

Replace ‘visit’ with ‘visits’. ‘One’ being a ‘singular subject’ takes ‘singular verb’ with it

CMAT Mock Test - 2 (New Pattern) - Question 2

Directions: The given item consists of an underlined word in the given sentence. The sentence is followed by four words. Select the word which is most similar in meaning to the underlined word and mark your response accordingly.

There is no dearth of talent in this country.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 2
Dearth means lack of something.

Option 1: Scarcity means the state of being scarce or in short supply; shortage.

Option 2: Availability means the quality of being able to be used or obtained.

Option 3: Plenty refers to a situation in which food and other necessities are available in sufficiently large quantities.

Option 4:Absence means non-existence or lack of.

As the context of the sentence shows that there is no shortage of talent in this country, thus, out of the given options 'scarcity' is similar in meaning to 'dearth'.

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CMAT Mock Test - 2 (New Pattern) - Question 3

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

In the world of sports, people do not acknowledge women's sports as much as men's sports. This is just one of the many gender inequalities that have manifested as a result of the male-dominated society that we live in, but it has wielded a major influence on the lives of many promising women athletes who had to give up their dreams of success because they were women in a man's world. From the time of early Olympics, the role of women in sports and games was neglected. The end of the 19th century and beginning of the 20th century saw the rising interest of women in sports both as participants and spectators.

However, compared to men's participation in sports, women's sports are newer. But the world of sports has begun to see how women's sports can be just as interesting and exciting as men's sports can be. Be it at school or at college, the educational societies play an important role in encouraging women's sports. The provision of sporting facilities on an even scale to both women and men shows the new trend. This has seen a rise in the number of women participating in sports. More people want to see women play sports now than in the past because of the better quality of players.

Q. Which of these best describes the role of women in early Olympics?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 3
In the passage, "From the time of early Olympics, the role of women in sports and games was neglected" gives the answer. So, option 2 is correct.
CMAT Mock Test - 2 (New Pattern) - Question 4

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

In the world of sports, people do not acknowledge women's sports as much as men's sports. This is just one of the many gender inequalities that have manifested as a result of the male-dominated society that we live in, but it has wielded a major influence on the lives of many promising women athletes who had to give up their dreams of success because they were women in a man's world. From the time of early Olympics, the role of women in sports and games was neglected. The end of the 19th century and beginning of the 20th century saw the rising interest of women in sports both as participants and spectators.

However, compared to men's participation in sports, women's sports are newer. But the world of sports has begun to see how women's sports can be just as interesting and exciting as men's sports can be. Be it at school or at college, the educational societies play an important role in encouraging women's sports. The provision of sporting facilities on an even scale to both women and men shows the new trend. This has seen a rise in the number of women participating in sports. More people want to see women play sports now than in the past because of the better quality of players.

Q. According to the passage, which of these are playing an important role in encouraging women's sports?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 4
"Be it at school or at college, the educational societies play an important role in encouraging women sports" gives us the answer.
CMAT Mock Test - 2 (New Pattern) - Question 5

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

In the world of sports, people do not acknowledge women's sports as much as men's sports. This is just one of the many gender inequalities that have manifested as a result of the male-dominated society that we live in, but it has wielded a major influence on the lives of many promising women athletes who had to give up their dreams of success because they were women in a man's world. From the time of early Olympics, the role of women in sports and games was neglected. The end of the 19th century and beginning of the 20th century saw the rising interest of women in sports both as participants and spectators.

However, compared to men's participation in sports, women's sports are newer. But the world of sports has begun to see how women's sports can be just as interesting and exciting as men's sports can be. Be it at school or at college, the educational societies play an important role in encouraging women's sports. The provision of sporting facilities on an even scale to both women and men shows the new trend. This has seen a rise in the number of women participating in sports. More people want to see women play sports now than in the past because of the better quality of players.

Q. According to the passage, which of these is a development that indicates the new trend?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 5
"The provision of sporting facilities on an even scale to both women and men shows the new trend ..." gives us the answer.
CMAT Mock Test - 2 (New Pattern) - Question 6

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'.

The only thing that endures and can sustain (1)/ an infant till the stage it receives immunity (2)/ comes from the consumption of mothers milk. (3)/ No error (4)

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 6
The 'milk' relates to the 'mother'. So, to show belongingness the correct phrase will be "mother's milk".
CMAT Mock Test - 2 (New Pattern) - Question 7

Directions: Read the following passage and answer the question.

During the last two decades physicians and mental health professionals have begun to discover the limitations of the western allopathic medicine.

The focus on pathology and disease rather than on prevention, the destructiveness of so many pharmaceutical and surgical remedies, the separation of physical and emotional problems, the assumption of an asymmetrical relationship between an all powerful physician and a submissive patient have led clinicians and researchers to look for answers in other traditions and cultures.

It is indeed disappointing, in this context, that in India with its long tradition of the body mind continuum health efforts are so largely dependent on the allopathic system which is now being increasingly rejected by western medical scientists. However, any wide open, fuzzy field like holistic health offers abundant opportunity for fraud and overpromise. The new paradigm of health is not a license for quackery. Holistic health is a perspective, not a specialization or a discipline.

The body-mind is a process, so is disease a process, so is healing or making whole.

It was discovered that it is not a simple physical change but rather the state of mind that is the key to health. This state has been called restful alertness, passive volition, deliberate letting. Cumulative stresses seem to melt under this seemingly paradoxical state, restoring natural flow to the body mind whirlpool.

Clearly, health services, as we know them, are essential but equally clearly, they are not enough. There is an urgent need to blend the ancient traditional ways with some of the discoveries of modern medicine to make for a truly healthy society. The first and most important area deserving urgent attention is Child Health Care.

Conventionally, it is the doctor and the hospitals that are seen today as the center of all health care; the mother and the child are at the periphery. It is perhaps necessary to see the mother as the center of Child Health Care. It is she who is the highest level health worker not by training or in qualifications but in time and love, in the special knowledge of her own children, in the breadth of integrated services she provides and in the permanent presence she brings to her child's life. This indeed was the basis of the ancient Child Care Practices and it is well that, it is being rediscovered. The implications of this are rather manifold: Mother must impart the knowledge, skills and techniques required for her to do the job well. The old civilizations did this through word of mouth from one generation to another. Modern civilizations can improve on this but the essence will remain the same.

Q. Which of the following is the surest way of ensuring a truly healthy society?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 7
"Clearly, health services, as we know them, are essential but equally clearly, they are not enough. There is an urgent need to blend the ancient traditional ways with some of the discoveries of modern medicine to make for a truly healthy society."
CMAT Mock Test - 2 (New Pattern) - Question 8

Directions: Read the following passage and answer the question.

During the last two decades physicians and mental health professionals have begun to discover the limitations of the western allopathic medicine.

The focus on pathology and disease rather than on prevention, the destructiveness of so many pharmaceutical and surgical remedies, the separation of physical and emotional problems, the assumption of an asymmetrical relationship between an all powerful physician and a submissive patient have led clinicians and researchers to look for answers in other traditions and cultures.

It is indeed disappointing, in this context, that in India with its long tradition of the body mind continuum health efforts are so largely dependent on the allopathic system which is now being increasingly rejected by western medical scientists. However, any wide open, fuzzy field like holistic health offers abundant opportunity for fraud and overpromise. The new paradigm of health is not a license for quackery. Holistic health is a perspective, not a specialization or a discipline.

The body-mind is a process, so is disease a process, so is healing or making whole.

It was discovered that it is not a simple physical change but rather the state of mind that is the key to health. This state has been called restful alertness, passive volition, deliberate letting. Cumulative stresses seem to melt under this seemingly paradoxical state, restoring natural flow to the body mind whirlpool.

Clearly, health services, as we know them, are essential but equally clearly, they are not enough. There is an urgent need to blend the ancient traditional ways with some of the discoveries of modern medicine to make for a truly healthy society. The first and most important area deserving urgent attention is Child Health Care.

Conventionally, it is the doctor and the hospitals that are seen today as the center of all health care; the mother and the child are at the periphery. It is perhaps necessary to see the mother as the center of Child Health Care. It is she who is the highest level health worker not by training or in qualifications but in time and love, in the special knowledge of her own children, in the breadth of integrated services she provides and in the permanent presence she brings to her child's life. This indeed was the basis of the ancient Child Care Practices and it is well that, it is being rediscovered. The implications of this are rather manifold: Mother must impart the knowledge, skills and techniques required for her to do the job well. The old civilizations did this through word of mouth from one generation to another. Modern civilizations can improve on this but the essence will remain the same.

Q. Which of the following is TRUE of holistic approach in medicine?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 8
"However, any wide open, fuzzy field like holistic health offers abundant opportunity for fraud and overpromise. The new paradigm of health is not a license for quackery. Holistic health is a perspective, not a specialization or a discipline."
CMAT Mock Test - 2 (New Pattern) - Question 9

Directions: Read the following passage and answer the question.

During the last two decades physicians and mental health professionals have begun to discover the limitations of the western allopathic medicine.

The focus on pathology and disease rather than on prevention, the destructiveness of so many pharmaceutical and surgical remedies, the separation of physical and emotional problems, the assumption of an asymmetrical relationship between an all powerful physician and a submissive patient have led clinicians and researchers to look for answers in other traditions and cultures.

It is indeed disappointing, in this context, that in India with its long tradition of the body mind continuum health efforts are so largely dependent on the allopathic system which is now being increasingly rejected by western medical scientists. However, any wide open, fuzzy field like holistic health offers abundant opportunity for fraud and overpromise. The new paradigm of health is not a license for quackery. Holistic health is a perspective, not a specialization or a discipline.

The body-mind is a process, so is disease a process, so is healing or making whole.

It was discovered that it is not a simple physical change but rather the state of mind that is the key to health. This state has been called restful alertness, passive volition, deliberate letting. Cumulative stresses seem to melt under this seemingly paradoxical state, restoring natural flow to the body mind whirlpool.

Clearly, health services, as we know them, are essential but equally clearly, they are not enough. There is an urgent need to blend the ancient traditional ways with some of the discoveries of modern medicine to make for a truly healthy society. The first and most important area deserving urgent attention is Child Health Care.

Conventionally, it is the doctor and the hospitals that are seen today as the center of all health care; the mother and the child are at the periphery. It is perhaps necessary to see the mother as the center of Child Health Care. It is she who is the highest level health worker not by training or in qualifications but in time and love, in the special knowledge of her own children, in the breadth of integrated services she provides and in the permanent presence she brings to her child's life. This indeed was the basis of the ancient Child Care Practices and it is well that, it is being rediscovered. The implications of this are rather manifold: Mother must impart the knowledge, skills and techniques required for her to do the job well. The old civilizations did this through word of mouth from one generation to another. Modern civilizations can improve on this but the essence will remain the same.

Q. In the context of the passage, which of the following statements is definitely TRUE about western allopathic system?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 9
"It is indeed disappointing, in this context, that in India with its long tradition of the body mind continuum health efforts are so largely dependent on the allopathic system which is now being increasingly rejected by western medical scientists."
CMAT Mock Test - 2 (New Pattern) - Question 10

Directions: Read the following passage and answer the question.

During the last two decades physicians and mental health professionals have begun to discover the limitations of the western allopathic medicine.

The focus on pathology and disease rather than on prevention, the destructiveness of so many pharmaceutical and surgical remedies, the separation of physical and emotional problems, the assumption of an asymmetrical relationship between an all powerful physician and a submissive patient have led clinicians and researchers to look for answers in other traditions and cultures.

It is indeed disappointing, in this context, that in India with its long tradition of the body mind continuum health efforts are so largely dependent on the allopathic system which is now being increasingly rejected by western medical scientists. However, any wide open, fuzzy field like holistic health offers abundant opportunity for fraud and overpromise. The new paradigm of health is not a license for quackery. Holistic health is a perspective, not a specialization or a discipline.

The body-mind is a process, so is disease a process, so is healing or making whole.

It was discovered that it is not a simple physical change but rather the state of mind that is the key to health. This state has been called restful alertness, passive volition, deliberate letting. Cumulative stresses seem to melt under this seemingly paradoxical state, restoring natural flow to the body mind whirlpool.

Clearly, health services, as we know them, are essential but equally clearly, they are not enough. There is an urgent need to blend the ancient traditional ways with some of the discoveries of modern medicine to make for a truly healthy society. The first and most important area deserving urgent attention is Child Health Care.

Conventionally, it is the doctor and the hospitals that are seen today as the center of all health care; the mother and the child are at the periphery. It is perhaps necessary to see the mother as the center of Child Health Care. It is she who is the highest level health worker not by training or in qualifications but in time and love, in the special knowledge of her own children, in the breadth of integrated services she provides and in the permanent presence she brings to her child's life. This indeed was the basis of the ancient Child Care Practices and it is well that, it is being rediscovered. The implications of this are rather manifold: Mother must impart the knowledge, skills and techniques required for her to do the job well. The old civilizations did this through word of mouth from one generation to another. Modern civilizations can improve on this but the essence will remain the same.

Q. The passage brings out the difference in all of the following cases except

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 10
The passage differentiates between 'modern and ancient role of mother' (This indeed was the basis of the ancient Child Care Practices), 'ancient Indian and modern western system of medicine ' (...that in India with its long tradition of ... increasingly rejected by western medical scientists), 'treatment of body alone and of body and mind together' (The body-mind is a process, so is disease a process, so is healing or making whole. It was discovered that it is not a simple physical change but rather the state of mind that is the key to health.). There is no reference to treatment of doctor.
CMAT Mock Test - 2 (New Pattern) - Question 11

Directions: The given item consists of an underlined word in the given sentence. The sentence is followed by four words. Select the word which is most nearly opposite in meaning to the underlined word.

I was deeply affected by his urbane behaviour.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 11
Urbane means courteous and refined in manner. So, opposite will be rude which means discourteous and impolite.
CMAT Mock Test - 2 (New Pattern) - Question 12

Directions: From the options give below, find the closest substitute for the underlined expression.

It is not surprising for a teenager who stays from school without good reason to invent fantastic tales to escape punishment.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 12

truant - people who stay away from school without any reason or explanation. Answer is option B....
 

CMAT Mock Test - 2 (New Pattern) - Question 13

Directions: Choose the option that fills the blanks in the sentence below most appropriately.

Carried away by the _____ effects of the experimental medication, the patient _____ his desire to continue as a subject for as long as he could.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 13
The words 'desire to continue as a subject' indicate that the experimental medicine had positive effects. So, 'salutary' meaning beneficial or good fits appropriately. Hence, option (4) is the correct answer.
CMAT Mock Test - 2 (New Pattern) - Question 14

Directions: One, two or all the sentences may have error(s) of grammar or syntax or Standard English usage. Identify only the sentences that are incorrect.

A. He has been entrusted with the job to put things back in order and for arranging replacement supplies to meet the shortfall.

B. Compared with the economic status of pre-independent India, today’s Indians are much better off.

C. Smoking for a certain length of time does affect your lungs.

D. The nature of dark energy is still one of the largest mysteries of all of astrophysics.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 14
There is an error of parallelism in A. To maintain parallelism, the phrase should be either ‘to put things…and to arrange’ or ‘for putting things back…and for arranging’.

In B, incorrect comparison has been made as India has been compared with Indians. Comparison is always made between similar things. So, the correct phrase should be ‘status of Indians in pre-independent India’.

CMAT Mock Test - 2 (New Pattern) - Question 15

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: The video games, Internet chat rooms and now, virtual-reality headsets, have over the decades been blamed by befuddled parents as the body snatchers who have turned their outdoorsy children into inmates of an alternate-reality prison.

Q: From the glowing briefcase of Pulp Fiction to the killer video cassette of the Ring, few things are more terrifying than the ubiquitous becoming sinister.

R: Mundane objects circulating and systematically killing those who come in contact with them is a favourite trope of fiction.

S: But there's a vast difference between our dependence on communication devices and how little we 'understand' the inner workings of these objects such as mobile phones, websites, apps, Internet protocol that makes them objects of terror.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 15
Sentence R forms the opening statement as it introduces the context. Next in order is sentence Q as it explains sentence R. Sentence P mentions the parents blaming technology in affecting children negatively, and sentence S presents a contrast to it by mentioning that parents understand little of this technology. So, the correct sequence is: RQPS.
CMAT Mock Test - 2 (New Pattern) - Question 16

Directions: Identify the best way of writing the given sentence ensuring that the message being conveyed remains the same:

The entire cast and crew of the film, enjoyed splashing in the pool, bathing in the ocean, and, particularly, to sun bathe on the shore.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 16
The sentence refers to 'splashing in the pool, bathing in the ocean', in order to maintain parallelism ''sun bathing on the shore'' should be used. Hence, option (4) is the correct choice.
CMAT Mock Test - 2 (New Pattern) - Question 17

Directions: Select the most appropriate meaning of the underlined idiom in the sentence.

Simran was under tremendous stress because she had too many irons in the fire.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 17
The above given idiom means 'to be involved in many tasks at the same time'. So, the correct answer is option (2).
CMAT Mock Test - 2 (New Pattern) - Question 18

Directions: Identify the best way of writing the given sentence ensuring that the message being conveyed remains the same.

When one reads the Hindi literature of the twentieth century, you find a striking contrast between the writings of Munshi Premchand and later day writers of popular Hindi fiction.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 18
The sentence begins with ''When one reads'', hence according to the Subject-pronoun agreement the latter part of the sentence should be ''one finds a striking contrast''. Hence, option (3) is the correct answer.
CMAT Mock Test - 2 (New Pattern) - Question 19

Directions: Choose the suitable verb form and fill in the blank.

It is possible Marlowe ______ plays for Shakespeare in the eighteenth century.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 19
We are talking about something that may or might have happened in the past. So, option 1 is correct.
CMAT Mock Test - 2 (New Pattern) - Question 20

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. India should now be paying more attention to this sector as the phones become smarter and open up new possibilities.

Q. The mobile industry body GSMA estimates that there are over 4.5 billion wireless connections worldwide today.

R. As governments everywhere have been discovering, these devices have raised productivity and are driving economic growth.

S. Mobile phones revolutionised communications in the last decade, bringing basic voice and data access to countless people.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 20
Sentence S forms the opening assertion as it introduces the context - revolution in communication. It is followed by sentence Q as '4.5 billion wireless connections' relates to 'access to countless people' in the preceding sentence. Next in order is sentence R because 'these devices' is used for '4.5 billion wireless connections' mentioned in the preceding sentence. Sentence P forms the concluding assertion (open up new possibilities). So, the correct order is: SQRP.
CMAT Mock Test - 2 (New Pattern) - Question 21

Find the least number which when divided by 18, 21, 30 and 84 leaves 5 as a remainder each time.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 21
LCM of 18, 21, 30 and 84 is 1260.

So, the required number is 1260 + 5 = 1265.

CMAT Mock Test - 2 (New Pattern) - Question 22

A and B run a 2 km race. A gives B a headstart of 100 m and still beats him by 20 seconds. If A runs at 20 km/hr, find B's speed (in km/hr).

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 22
A covers the distance of 2 km in (2/20) hr = 360 s

B covers the distance of (2000 – 100) m = 1900 m in (360 + 20) = 380 s

B's speed = (1900/380) = 5 m/s = 5 × 18/5 = 18 km/hr

CMAT Mock Test - 2 (New Pattern) - Question 23

A man sells an article at a gain of 10%. If he had bought it at 10% less and sold it for Rs. 132 less, he would have still gained 10%. The cost price of the article is

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 23
SP = 1.1 CP

New cost price = 0.9 CP

New selling price = SP - 132

According to the given condition,

x 100 = profit %

0.2 CP - 132 = 0.09 CP

0.11 CP = 132

CP = Rs. 1200

CMAT Mock Test - 2 (New Pattern) - Question 24

A person invests Rs. 84,000 at a certain simple interest rate for a period of 3 years. At the end of the term, he receives Rs. 1,14,240. If he had invested the same amount of Rs. 84,000 at the same rate of compound interest for the same time period, then what amount would he have received at the end of the term?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 24
Interest on the amount = 1,14,240 - 84,000 = 30,240

Therefore, rate of interest = = 12%

Calculate the amount at compound interest.

= 5.376 21,952

= Rs. 1,18,013.95

Hence, this is the required result.

CMAT Mock Test - 2 (New Pattern) - Question 25

If f(x) = x2 - 5x + 4, then an expression equivalent to is

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 25
f(x + a) = (x + a)2 - 5(x + a) + 4

f(x) = x2 - 5x + 4

f(x + a) - f(x) = [(x + a)2 - 5(x + a) + 4] - [x2 - 5x + 4]

= (x + a)2 - x2 - 5(x + a) + 5x + 4 - 4

= (2x + a) (a) - 5a

= a[2x + a - 5]

CMAT Mock Test - 2 (New Pattern) - Question 26

The sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 square meters. The total cost of fencing the park at 50 paise per meter is

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 26
Assume that the sides of the rectangle are 3a and 2a.

Area = 3a × 2a = 6a2 = 3750 square meters

a2 = 625

⇒ a = 25 m

Perimeter = 2 × (3a + 2a) = 2 × 5a = 2 × 5 × 25 = 250 m

Total cost of fencing = 250 × 1/2 = Rs. 125

CMAT Mock Test - 2 (New Pattern) - Question 27

From a circular sheet of paper with radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the area of the uncut portion to that of the cut portion?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 27

Area of four small circles = 4 × π × 25 cm2 = 100π cm2

Area of the big circle = π × 20 × 20 cm2 = 400π cm2

Area of the uncut portion = (400π - 100π) cm2 = 300π cm2

Ratio of uncut to cut area = 300π : 100π = 3 : 1

Hence, answer option 3 is correct.

CMAT Mock Test - 2 (New Pattern) - Question 28

Find the value of cos 22.5° cos 67.5° – sin 22.5° sin 67.5°.

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 28
cos 67.5° = cos (90° – 22.5°)

= sin 22.5°........... (i) [as cos A = sin (90° – A)]

Similarly,

sin 67.5° = sin (90° – 22.5°)

= cos 22.5°................. (ii)

Now, we have

cos 22.5° cos 67.5° – sin 22.5° sin 67.5°

= cos 22.5° sin 22.5° – sin 22.5° cos 22.5° (Substituting values from (i) and (ii))

= 0

CMAT Mock Test - 2 (New Pattern) - Question 29

Two digits are selected at random from the digits 1 to 9 such that their sum is even. What is the probability that both the selected digits are even?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 29
Number of pairs of digits from 0 to 9 with even sum = {(1, 9) (1, 7) (1, 5) (1, 3) (2, 8) (2, 6) (2, 4) (3, 9) (3, 7) (3, 5) (4, 8) (4, 6) (5, 9) (5, 7) (6, 8) (7, 9)} = 16

X = both digits are even = 6

P(X) = 6/16 = ⅜

CMAT Mock Test - 2 (New Pattern) - Question 30

Directions: The following question is based on the following diagram.

In which year was the bank credit per sick unit the maximum?

Detailed Solution for CMAT Mock Test - 2 (New Pattern) - Question 30
Let's calculate the required ratio for the years given in the options.

In 1996, ratio = 18/24 (since the number of zeroes will be the same in each option, we will not consider them)

In 1997, ratio = 22/30

In 1998, ratio = 25/60

In 1999, ratio = 31/80

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