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CAT Practice Test: August 18 - CAT MCQ


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30 Questions MCQ Test - CAT Practice Test: August 18

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CAT Practice Test: August 18 - Question 1

In an examination, A gets 40% of the total marks and B gets 80% of that of A. C gets 60% of A's and B's marks taken together. D gets 45% of A's and C's marks taken together. If the required passing marks are 36%, how many of these four students passed the examination?  

Detailed Solution for CAT Practice Test: August 18 - Question 1

Let the maximum marks be 100.
Marks of A = 40% of 100 = 40
Marks of B = 80% of 40 = 32
Marks of C = 60% of (40 + 32) = 43.2
Marks of D = 45% of (40 + 43.2) = 37.44
Marks required for passing the examination = 36 out of 100
All, except B, passed the examination.

CAT Practice Test: August 18 - Question 2

Mr. Raj was throwing a party to his friends and he required 37 kg of sweets for that. Assuming 19% wastage and knowing that the sweets were available in 2 kg packets only, what would be the approximate cost of the sweets purchased if one packet cost Rs. 150?  

Detailed Solution for CAT Practice Test: August 18 - Question 2

He had to buy X kg such that 81% of X = 37 kg.

⇒ He had to buy 46 kg (multiple of 2 kg), i.e. 23 packets of sweets.
⇒ Total cost = Rs. 150 × 23 = Rs. 3450

CAT Practice Test: August 18 - Question 3

A and B are two numbers such that, B – A = P (where P ≠ 0) and B = P% more than A. Find B.  

Detailed Solution for CAT Practice Test: August 18 - Question 3

B - A = P (given)
B = P + A


AP = 100 P
A = 100

CAT Practice Test: August 18 - Question 4

In a fraction X, if thrice the denominator is decreased by 30% and twice the numerator is increased by 10%, then the resultant fraction is 22% of 26/21. Find the fraction X.

Detailed Solution for CAT Practice Test: August 18 - Question 4

Let the fraction X be x/y.

Hence, option (2) is the correct answer.

CAT Practice Test: August 18 - Question 5

If x varies inversely as y3 – 1 and is equal to 3 when y = 2, find x when y = 4.

Detailed Solution for CAT Practice Test: August 18 - Question 5

x = k/(y3 – 1). This gives k = 3 × 7 = 21.
When, y = 4, the equation becomes x = 21/(43 – 1) = 21/63 = 1/3.

CAT Practice Test: August 18 - Question 6

If 10 men working 6 hours a day can do a piece of work in 15 days, in how many days will 20 men working 14 hours a day do the same work?

Detailed Solution for CAT Practice Test: August 18 - Question 6

The total number of man-days-hours required = 10 × 6 × 15 = 900
20 × 14 × number of days = 900 → number of days = 900/280 = 3.21 days

CAT Practice Test: August 18 - Question 7

Directions: Study the following information and answer the question that follows.
The table below represents the number of software projects on different domains that were done in different companies in 2006.

There were no other projects done by these companies, except those given above.

In 2005, the number of projects of each company was 20% less than that in 2006, how many companies got at the most 30 projects in 2005?

Detailed Solution for CAT Practice Test: August 18 - Question 7

Flextronics got 35 projects in 2006.
So, in 2006 = 35 - 20% of 35 = 28
CTS got 36 projects in 2006.
So, in 2005 = 36 - 20% of 36 = 28.8
DELL got 32 projects in 2006.
So, in 2005 = 32 - 20% of 32 = 25.6
BIRLASOFT got 27 projects in 2006.
So, in 2005 = 27 - 20% of 27 = 21.6
So, total 4 companies got at the most 30 projects in 2005.

CAT Practice Test: August 18 - Question 8

Directions: Study the following information and answer the question that follows.
The table below represents the number of software projects on different domains that were done in different companies in 2006.

There were no other projects done by these companies, except those given above.

How many companies did less Java projects than Birlasoft in 2006?

Detailed Solution for CAT Practice Test: August 18 - Question 8

Four companies did less Java projects than Birlasoft.

CAT Practice Test: August 18 - Question 9

Directions: Refer to the table below and answer the following question.
The table gives the terms of subscriptions for a magazine.

Conditions:
1. If you subscribe for 1–3 years, postage = Rs. 50 per year of subscription.
2. For a subscription of 3 years, you receive a gift worth Rs. 300.
3. For a subscription of 4 years, you receive a special gift worth Rs. 500.
4. For a subscription of 5 years, you get additional 12 issues for the 6th year, as a special gift.
5. Effective cost = Special Offer Price – Cost of gifts + Cost of postage

The % decrease in Special Offer Price per issue from one term to the next is maximum for

Detailed Solution for CAT Practice Test: August 18 - Question 9


So, % decrease in Special Offer Price per issue from one term to the next is maximum for 5-year term.

CAT Practice Test: August 18 - Question 10

Directions: Refer to the table below and answer the following question.
The table gives the terms of subscriptions for a magazine.

Conditions:
1. If you subscribe for 1–3 years, postage = Rs. 50 per year of subscription.
2. For a subscription of 3 years, you receive a gift worth Rs. 300.
3. For a subscription of 4 years, you receive a special gift worth Rs. 500.
4. For a subscription of 5 years, you get additional 12 issues for the 6th year, as a special gift.
5. Effective cost = Special Offer Price – Cost of gifts + Cost of postage

What is the approximate difference in the effective cost per issue between a subscription for 2 years and subscription for 5 years?

Detailed Solution for CAT Practice Test: August 18 - Question 10


Effective cost per issue for 2-year subscription = 79.17
Effective cost per issue for 5-year subscription = 50
Difference = 79.17 - 50 = 29.17 ≈ 30 (approx.)

CAT Practice Test: August 18 - Question 11

Directions: Refer to the table below and answer the following question.
The table gives the terms of subscriptions for a magazine.

Conditions:
1. If you subscribe for 1–3 years, postage = Rs. 50 per year of subscription.
2. For a subscription of 3 years, you receive a gift worth Rs. 300.
3. For a subscription of 4 years, you receive a special gift worth Rs. 500.
4. For a subscription of 5 years, you get additional 12 issues for the 6th year, as a special gift.
5. Effective cost = Special Offer Price – Cost of gifts + Cost of postage

The Special Offer Price as a percentage of News Stand Price is minimum for which subscription?

Detailed Solution for CAT Practice Test: August 18 - Question 11

Special Offer Price as a percentage of News Stand Price for 2-year term = (1800/2400) x 100 = 75%
Special Offer Price as a percentage of News Stand Price for 3-year term = (2520/3600) x 100 = 70%
Special Offer Price as a percentage of News Stand Price for 4-year term = (2880/4800) x 100 = 60%
Special Offer Price as a percentage of News Stand Price for 5-year term = (3000/6000) x 100  = 50%
So, the Special Offer Price as a percentage of News Stand Price is minimum for the 5-year term

CAT Practice Test: August 18 - Question 12

Directions: Refer to the table below and answer the following question.
The table gives the terms of subscriptions for a magazine.

Conditions:
1. If you subscribe for 1–3 years, postage = Rs. 50 per year of subscription.
2. For a subscription of 3 years, you receive a gift worth Rs. 300.
3. For a subscription of 4 years, you receive a special gift worth Rs. 500.
4. For a subscription of 5 years, you get additional 12 issues for the 6th year, as a special gift.
5. Effective cost = Special Offer Price – Cost of gifts + Cost of postage

What is the ratio of Effective Price to News Stand Price per issue, for a subscription of 4 years?

Detailed Solution for CAT Practice Test: August 18 - Question 12


Effective Price for a subscription of 4 years = 49.58
News Stand Price for a subscription of 4 years = 100
Ratio = 49.58 : 100 = 2479:5000

CAT Practice Test: August 18 - Question 13

Directions: Answer the question based on the data provided in the table given below:

Asset Utilisation Factor (AUF) = Sales value/Assets
Worker productivity = Production of units/Number of workers
Assume that whatever was produced in a given year was sold in the same year.
All sales were of produced units only.

In which year was worker productivity the highest?

Detailed Solution for CAT Practice Test: August 18 - Question 13

Worker productivity = (Production of units)/(Number of workers)
In 1996, worker productivity = $\frac{12,00,000}{80}$  = 15,000
In 1997, worker productivity = $\frac{14,00,000}{85}$ ~ 16,471
In 1998, worker productivity = $\frac{13,50,000}{90}$ = 15,000
In 1999, worker productivity = $\frac{15,00,000}{102}$ ~ 14,706
In 2000, worker productivity = $\frac{17,50,000}{120}$ ~ 14,583
From above calculations, it is clear that in 1997, worker productivity was the highest.

CAT Practice Test: August 18 - Question 14

Directions: The question is based on the following pie chart.
Project implementation cost of ABC Ltd. (Rs. Crores)
Total project cost = Rs. 252 Crores

If there is an escalation of 10% in Salaries& Wages and a reduction of 10% in land, what will be the new angle of salaries and wages?

Detailed Solution for CAT Practice Test: August 18 - Question 14

New angle of Salaries & Wages = 55° x 1.1 = 60.5° = 55 + 5.5
New angle of Land = 55° x 0.9 = 49.5° = 55 - 5.5
Since the increase in Salaries & Wages is the same as the decrease in Land, there will be no change in the total angle of the pie chart.
Thus, new angle of salaries and wages = 60.5°

CAT Practice Test: August 18 - Question 15

Directions: The question is based on the following pie chart.
Project implementation cost of ABC Ltd. (Rs. Crores)
Total project cost = Rs. 252 Crores

If 5% of administrative costs are reduced and 10% of the remaining administrative costs are transferred to Others category, what is the angle of administrative costs now?

Detailed Solution for CAT Practice Test: August 18 - Question 15

Reduction in administrative cost 5% of 30° = 1.5°
Hence, remaining administrative cost = 30° - 1.5° = 28.5°
Transferred administrative cost 10% of 28.5° = 2.85°
∴ Hence, the remaining administrative cost 28.5° - 2.85° = 25.65°
Also, since 5% of the administrative costs (1.5°) are reduced, thus new pie angle = 360° - 1.5° = 358.5°
Hence, new angle of Administrative Cost = x 360 = 25.76°

CAT Practice Test: August 18 - Question 16

Directions: The following diagrams show the cost price and selling price (in Rs.) of different fruits sold by a fruit vendor.

If the selling price of pineapple is increased by 20%, then what is the percentage increase in the total selling price?

Detailed Solution for CAT Practice Test: August 18 - Question 16

C.P. is constant.
S.P. of pineapple is increased by 20%; the contribution of pineapple in total S.P. is 15%.
If we assume total S.P. to be 100, then
Increase = 20% of 15 = 3
Out of total 100, increase ⇒ 3%

CAT Practice Test: August 18 - Question 17

Directions: Answer the question on the basis of the pie charts given below.
The following pie charts show the distribution of run scored by Kohli and the Indian team in an innings, considering only the scoring shots.

  • The balls on which no runs were scored are called dot balls.
  • Strike rate of a batsman is the number of runs scored as the percentage of the total number of balls played, including the dot balls.

If Kohli played 98 dot balls, what was his approximate strike rate?

Detailed Solution for CAT Practice Test: August 18 - Question 17

Runs scored by Kohli = (6 x 0.04 + 1 x 0.48 + 2 x 0.20 + 3 x 0. 06 + 4 x 0.22) x 50 = 109 
So, strike rate =  = 73.65 = 74 (approx.)

CAT Practice Test: August 18 - Question 18

Directions: Answer the question on the basis of the pie charts given below.
The following pie charts show the distribution of run scored by Kohli and the Indian team in an innings, considering only the scoring shots.

  • The balls on which no runs were scored are called dot balls.
  • Strike rate of a batsman is the number of runs scored as the percentage of the total number of balls played, including the dot balls.

What was Kohli's share in the number of 4s scored by the Indian team?

Detailed Solution for CAT Practice Test: August 18 - Question 18

Kohli's share = 

CAT Practice Test: August 18 - Question 19

The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. But the attention of the layman, not surprisingly, has been captured by the atom bomb, although there is at least a chance that it may never be used again.
2. Of all the changes introduced by man into the household of nature, [controlled]large-scale nuclear fission is undoubtedly the most dangerous and most profound.
3. The danger to humanity created by the so-called peaceful uses of atomic energy may, however, be much greater.
4. The resultant ionizing radiation has become the most serious agent of pollution of the environment and the greatest threat to man’s survival on earth.


Detailed Solution for CAT Practice Test: August 18 - Question 19

This might a little tricky question, but without doubt 2 will open the paragraph. The resultant ionising radiation in 4 is a consequence of large scale nuclear fission mentioned in 2. Thus 24 form a pair. 4 and 1 are contrasting ideas, something that justifies the presence of the conjunction “but” in 1. The resultant ionising radiation has become the most serious agent of pollution... but the attention of the layman has been captured by the atom bomb....3 comes as the appropriate conclusion. 3 can’t come after 4 because both 4 and 3 talk nuclear fission, which does not justify the presence of the word “however” in 3. We use however to contrast two ideas, but both 4 and 3 talk of peaceful uses of atomic energy. Nuclear fission is used for purposes other than atomic bomb. Thus 2413 is the right sequence.

CAT Practice Test: August 18 - Question 20

The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. Each one personified a different aspect of good fortune.
2. The others were versions of popular Buddhist gods, Hindu gods and Daoist gods.
3. Seven popular Japanese deities, the Shichi Fukujin, were considered to bring good luck and happiness.
4. Although they were included in the Shinto pantheon, only two of them, Daikoku and Ebisu, were indigenous Japanese gods.


Detailed Solution for CAT Practice Test: August 18 - Question 20

We should start this arrangement by fixing the pronoun “each one” in sentence 1. It says “each one personified a different aspect of good fortune”. This statement refers to sentence 3 because it is in 3 that we find the “seven popular deities... Considered to bring good luck and happiness”.  Thus the ideas of 3 and 1 are similar, with 3 acting as introduction and 1 taking the idea ahead. 4 and 2 form the other unit because in 4 we have the phrase “only two of them were indigenous Japanese gods”, while 2 says “the others were...”. The contrast between the two indigenous gods and the other Buddhist gods connects 4 with 2. Thus 3142 forms a logical sequence.

CAT Practice Test: August 18 - Question 21

The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. Complex computational elements of the CNS are organized according to a “nested” hierarchic criterion; the organization is not permanent and can change dynamically from moment to moment as they carry out a computational task.
2. Echolocation in bats exemplifies adaptation produced by natural selection; a function not produced by natural selection for its current use is exaptation --feathers might have originally arisen in the context of selection for insulation.
3. From a structural standpoint, consistent with exaptation, the living organism is organized as a complex of “Russian Matryoshka Dolls” -- smaller structures are contained within larger ones in multiple layers.
4. The exaptation concept, and the Russian-doll organization concept of living beings deduced from studies on evolution of the various apparatuses in mammals, can be applied for the most complex human organ: the central nervous system (CNS).


Detailed Solution for CAT Practice Test: August 18 - Question 21

This question has two possible right sequences. Though the right answer is 2431, the sequence 2341 is also a logical sequence. 2 will definitely open the paragraph. Now the point is should we have 3 or 4 next in sequence. 4 introduces the idea of “Russian Doll” and elaborates on that further in 4. This makes 34 a logical pair. The idea of CNS connects 4 with 1. Thus 2341 seems perfectly logical. However, when we take the official answer, which is 2431, the sequence 31 is also logical because 3 mentions “hierarchy of complex structure-smaller structures contained within larger ones” ...1 says that a similar hierarchy might be there in CNS as well. We believe that this question has two possible sequences.

CAT Practice Test: August 18 - Question 22

The four sentences (labelled 1, 2, 3, 4) given below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequence of the order of the sentences and key in the sequence of the four numbers as your answer.

1. People with dyslexia have difficulty with print-reading, and people with autism spectrum disorder have difficulty with mind-reading.
2. An example of a lost cognitive instinct is mind-reading: our capacity to think of ourselves and others as having beliefs, desires, thoughts and feelings.
3. Mind-reading looks increasingly like literacy, a skill we know for sure is not in our genes, since scripts have been around for only 5,000-6,000 years.
4. Print-reading, like mind-reading varies across cultures, depends heavily on certain parts of the brain, and is subject to developmental disorders.


Detailed Solution for CAT Practice Test: August 18 - Question 22

1 must come at the end because it is contrasting a specific feature of print-reading and mind-reading. Before 1, we must have the ideas of print reading and mind-reading introduced to us.

41 is definitely a pair because, and we must introduce mind-reading before statement 4. The point is should we have 2 or 3 as the opening sentence? 2 has a better introductory tone, and statement 3 goes into the detail of mind-reading. Thus we must 23 as one pair and 41 as the other, with 23 coming first. 2341 is thus the right sequence.

CAT Practice Test: August 18 - Question 23

The four sentences (labelled 1, 2, 3, 4) given below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequence of the order of the sentences and key in the sequence of the four numbers as your answer.

1. To the uninitiated listener, atonal music can sound like chaotic, random noise.
2. Atonality is a condition of music in which the constructs of the music do not ‘live’ within the confines of a particular key signature, scale, or mode.
3. After you realize the amount of knowledge, skill, and technical expertise required to compose or perform it, your tune may change, so to speak.
4. However, atonality is one of the most important movements in 20th century music.


Detailed Solution for CAT Practice Test: August 18 - Question 23

The presence of ‘however’ in statement 4 suggests that 4 must be preceded by a contrary idea. Statement 1 has that. Thus 1 and 4 form a mandatory pair. 3 says ‘your tune may change’. In other words, ‘your attitude may change’. That attitude is there in statement 1. Thus 143 form pair because 3 cannot come before 1. You must state the negative attitude, and then say that your attitude may change after you realize the amount of skill required to come or perform such music.  Statement 2 can come only at the start and not at the end. Thus 2143 is the right sequence. An easy question.

CAT Practice Test: August 18 - Question 24

The four sentences (labelled 1, 2, 3, 4) given below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequence of the order of the sentences and key in the sequence of the four numbers as your answer.

1. Living things—animals and plants—typically exhibit correlational structure.
2. Adaptive behaviour depends on cognitive economy, treating objects as equivalent.
3. The information we receive from our senses, from the world, typically has structure and order, and is not arbitrary.
4. To categorize an object means to consider it equivalent to other things in that category, and different—along some salient dimension—from things that are not.


Detailed Solution for CAT Practice Test: August 18 - Question 24

This is a very difficult question, and our team is yet to come up with the right logic behind this sequence. This is the source of the paragraph: Source

Looking at the way the sentences have been twisted, we can say that this qualifies as a dubious question.

CAT Practice Test: August 18 - Question 25

Direction: In each of these questions, in the given sentences, a part of the sentence is underlined. Beneath each sentence, four different ways of phrasing the underlined part are indicated. Choose the best alternative.

A bird in hand is worth two in bush.

Detailed Solution for CAT Practice Test: August 18 - Question 25
  • The correct phrase is "a bird in hand is worth two in the bush."

 

  • Option A: "two in the bush" is the correct and most suitable alternative that maintains the meaning of the original phrase.
  • Option B: "two at a bush" does not make sense in this context.
  • Option C: "two on bush" is grammatically incorrect.
  • Option D: "No improvement" is not the correct choice as the original phrase is incorrect.
CAT Practice Test: August 18 - Question 26

Direction: In each of these questions, in the given sentences, a part of the sentence is underlined. Beneath each sentence, four different ways of phrasing the underlined part are indicated. Choose the best alternative.

Manisha purchased the very good of all the saris kept in the shop

Detailed Solution for CAT Practice Test: August 18 - Question 26

- Manisha purchased the very good of all the saris kept in the shop.
- A: the better
- B: the very better
- C: the most good
- D: the best

Among the given options, the correct phrasing is D: the best because it conveys the superlative form of "good" which is appropriate in this context. The phrase "the best" indicates that Manisha purchased the highest quality sari among all the options available in the shop.

CAT Practice Test: August 18 - Question 27

Direction: In each of these questions, in the given sentences, a part of the sentence is underlined. Beneath each sentence, four different ways of phrasing the underlined part are indicated. Choose the best alternative.

The actress said that it sometimes took her two hours to put her make -up.

Detailed Solution for CAT Practice Test: August 18 - Question 27

- Original Sentence: The actress said that it sometimes took her two hours to put her make-up.
- Option A: put over
This phrase does not make sense in the context of applying make-up.
- Option B: put up
This phrase does not make sense in the context of applying make-up.
- Option C: put on
This is the correct phrase to use when talking about applying make-up.
- Option D: No improvement
While the original sentence is grammatically correct, "put on" is a more appropriate phrase to use when referring to applying make-up.

CAT Practice Test: August 18 - Question 28

Direction: In each of these questions, in the given sentences, a part of the sentence is underlined. Beneath each sentence, four different ways of phrasing the underlined part are indicated. Choose the best alternative.

Bad habits must be nipped at the bud.

Detailed Solution for CAT Practice Test: August 18 - Question 28

The correct idiom is "nipped in the bud," which means to stop something at an early stage before it develops into something larger or more serious. This idiom originates from the gardening practice of removing small buds to prevent them from growing or flowering. Let's break down why "nipped in the bud" is the best choice among the provided options:
- Nipped off the bud: This phrase is incorrect because "off" suggests removing something that is already developed or detached, which does not convey the preventative action implied by the idiom.
- Nipped in the bud (Correct Answer): This is the correct form of the idiom. "In the bud" signifies dealing with a problem, issue, or situation at its early stage, preventing it from growing or becoming more serious.
- Nipped on the bud: Similar to "off," "on" does not accurately convey the idea of prevention or early intervention. It suggests an action taken on the surface, not the preemptive action implied by the idiom.
- No improvement: This option is incorrect because the original phrase "nipped at the bud" does not correctly use the idiom, meaning there is room for improvement.
Therefore, the correct answer is B: nipped in the bud. This choice accurately reflects the intended meaning of preventing something from developing further by taking early action.

CAT Practice Test: August 18 - Question 29

Direction: In each of these questions, in the given sentences, a part of the sentence is underlined. Beneath each sentence, four different ways of phrasing the underlined part are indicated. Choose the best alternative.

What are needed are not large houses but small cottages.

Detailed Solution for CAT Practice Test: August 18 - Question 29
  • The sentence in question is: "What are needed are not large houses but small cottages."
  • The underlined part is "are needed," which is a part of the clause that starts with "What."
  • This structure introduces a subject-verb agreement scenario that depends on the noun that follows the verb "are." In this case, the subject is the plural form "houses" and "cottages," which agrees with the plural verb "are."
  • However, the correction option (C) "is" is suggested as the best alternative. This might seem counterintuitive at first because of the plural nouns "houses" and "cottages." But when we consider the structure of the sentence as a whole, it is actually a singular subject matter that is being talked about.The phrase "What is needed" is a nominal clause acting as the subject of the sentence, and it refers to a singular concept or idea of requirement, hence the singular verb "is" fits correctly.
  • This correction makes the sentence read as: "What is needed are not large houses but small cottages," which correctly implies that the singular concept of need (what is needed) pertains to small cottages rather than large houses.Therefore, option C "is" is the correct choice to ensure subject-verb agreement and clarity of the singular concept being discussed.
CAT Practice Test: August 18 - Question 30

Direction: In each of these questions, in the given sentences, a part of the sentence is underlined. Beneath each sentence, four different ways of phrasing the underlined part are indicated. Choose the best alternative.

Im sorry, but I don’t believe what you say.

Detailed Solution for CAT Practice Test: August 18 - Question 30

- The underlined part of the sentence is "don't believe."
- Option D, "No improvement," is the best alternative because the original sentence is already correct and does not need any changes.
- Options A, B, and C all change the meaning of the sentence or make it grammatically incorrect.

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