CAT - 1 - Free MCQ Practice Test with solutions,

In the last paragraph, the author states the following- {Contemporary psychology is a form of mythology insofar as it is an attempt to succor our need to believe in stories that provide a sense of value and signification in the context of secular modernity.} Also, in the penultimate paragraph, the author remarks that mythology provided origin stories that create a setting for how we experience the world. And these stories were associated with various religions- like the Hindu Laws of Manu and the Biblical creation story.
Contemporary psychology, which uses tools like personality tests and self-help literature, enables us to continue believing in stories that provide value and signification without associating themselves with any religion, i.e., it stays true to the context of secular modernity.
Comparing the options, only option B conveys the above inference. Hence, option B is the answer.
Options A and C have not been implied in the passage and can be eliminated. Option D does not convey the inference elucidated above, and furthermore, the author does not discuss anything about secular principles. 

In the penultimate paragraph, the author presents the following about mythology-
{What constitutes a mythology? It’s an organised canon of beliefs that explains the state of the world. It also delivers an origin story - such as the Hindu Laws of Manu or the Biblical creation story - that creates a setting for how we experience the world.}
Additionally, in the first paragraph, the author makes the following observation-
{ Notions of salvation, progress and ethics are so constitutive of our notions of reality that they’re often communicated through the
format of mythology.}
From the above, options A, B and D can be clearly inferred. The author does not assert anywhere in the passage that the origin stories and legends which formulate the myths are uncorroborated. Hence, option C cannot be conclusively inferred. Option C is the answer.

It has been given that at least one of them is a truth-teller. So, we can assume each one of them to be a truth-teller separately, are deduce other information based on the statements they say.
Case 1: Let A be the truth-teller.
The first statement of A is that the highest amount of rent is for the Gachibowli property.
The second statement of A is that the lowest amount of rent is not for the Kondapur property.
The third statement of A is that D sometimes lies.
Hence,
Kondapur - ~20000 Rs/month
D - Alternator
Let us now consider D's statements since we now know that D is an alternator.
D's first statement is true since the average is correct.
D's second statement is that A is not an alternator. We know that in this case, A is a truth-teller, hence, this statement of D is true. 2
consecutive statements of D are true, this implies he is a truth-teller, if A is a truth-teller, hence this case is invalidated.
Case 2: Let B be the truth-teller.
The first statement of B is that the Kondapur property has a deposit equivalent to 4 months of rent.
The second statement of B is that C never speaks the truth.
The third statement of B is that the rent of Whitefield is 24000 Rs/month.
Kondapur - 4 months deposit
C - Liar
Whitefield - 24000 Rs/month
Let us now consider C's statements, since we already know that C is a liar.
C's first statement is that the rent of the Whitefield property(in Rs), when divided by 1000, has 8 distinct factors.
24000/1000 = 24
24 = 2³ × 3
Hence, it has 8 factors. So, it is a true sentence.
Hence, this case is invalidated as well.
Case 3: Let C be the truth-teller.
The first statement of C is that the rent of the Whitefield property(in Rs), when divided by 1000, has 8 distinct factors.
Among the 4 rents, if we calculate the number of factors, only 24000 and 30000 have 8 distinct factors post division by 1000.
So, the rent of the Whitefield property is either 24000 Rs/month or 30000 Rs/month.
The second statement of C is that A never speaks the truth.
The third statement of C is that the monthly rent of the Whitefield property is neither the highest nor the lowest.
Thus, we can safely conclude that the rent of the Whitefield property is 24000 Rs/month.
Hence, 
Whitefield - 24000 Rs/month
A - Liar.
Let us analyze A's statements.
The highest amount of rent is for the Gachibowli property. - This is false.
The lowest amount of rent is not for the Kondapur property. - This is false.
Kondapur - 20,000 Rs/month.
Since the Gachibowli property can't take the highest value, it takes 28,000 Rs/month.
Hence, Madhapur takes 30000 Rs/month.

Also, A's third statement is a lie which implies that D is either a truth-teller or a liar.
Let us analyze D's statements. Since we have already concluded that the first statement of D is true, we can safely say that he always speaks the truth.
Hence,
Madhapur - 3 months deposit

Also,

Hence, B - Alternator is the right choice.

Statement 3 appears to be the starting sentence since it introduces the subject: the quantification of intelligence. The author mentions that the attempt to measure intelligence "was barely a century old" at the time he took an unknown test. However, he adds that the very notion that intelligence could be used to determine one's place in the world in life precedes this aforementioned time stamp. Hence, arrangement 3 - 2 forms a logical block. The author further adds to the discussion by highlighting the outcome of such an enterprise (of determining intelligence): it is not just a "comment" on our mental capabilities but also a "judgement" on what we will be allowed to do. Thus, 1- 4 forms a coherent follow-up to 3 - 2. The use of the phrase "has never been merely" in Statement 1 and "always also" in Statment 4 helps us determine their positions. Hence, the correct sequence would be 3214.

{For much} of the 20th century biology cleaved closer to Descartes than to Darwin. Students of animal behaviour did not rule out the possibility that animals had minds but thought the question almost irrelevant since it was impossible to answer.}
Option C can be inferred from the above line.
All the other options are unrelated to the discussion.
Options A and D have not been implied in the passage.
Option B is incorrect. The subsequent discussion in the passage proves that animals are capable of emotions.

Let us make a table to show the sitting arrangements and then fill up the details as mentioned

> Shyam is sitting at 2^{nd}2nd place from right
> Qureshi has only one neighbour Shyam
> Person who lives in Goa and the person whose native is Goa is sitting at the maximum possible distance. It implies that these must
be sitting at the extremes. We don't know which end|
> Person who drives Charger is one place right of the person whose native is Goa. The person of Native Goa is at the leftmost place

> EIther Shyam or his car was mentioned at the correct place. Since Shyam place was incorrect. His car has to be placed correctly. Since Shyam is at position 4. Dodge which is on position 4 is placed incorrectly.  Audi can not be placed at 5. Thus Audi has to be at 3 and BMW at 5
> Also we observe that postion of Ram, Shyam and Qureshi were incorrect. So either Parul position is correct or Tiyasha position is correct. Since Tiyasha's position is already occupied. Parul is correctly placed at 2. Tiyasha correct place is 3.
> Parul native city is Chennai.

> Person who owns an Audi is not from Delhi. Thus Native Delhi is at a position 4 or 5.
Case I: If Native Delhi is at position 4. Then in the list of native cities. Position 3 or 5 has to be correctly occupied in the initial table. Position 3 is Chennai which is already taken. Position 5 is Delhi but as per this case Delhi is on 4. So this case is not possible.
Case II: Native Delhi is at position 5 which is the same as the current position. Thus position 3 and position 4 information has to be wrong. It is only possible when Bangalore is not at position 4. Thus Bangalore is at position 3. Hyderabad will be at position 4.

Now we need to fill the "Lives in" correctly.
> Person who drives Charger is 1 place left of the person who lives in Hyderabad

Thus Hyderabad is correctly placed. The rest of the 3 positions were incorrectly placed.
Position 1 cannot be Delhi or Goa or Hyderabad. It has to be Chennai or Bangalore.
Case I: Position 1 is Chennai. 
Position 2 cannot be Chennai/Hyderabad or Goa. Position 2 can be Delhi or Bangalore.
Position 4 cannot be Hyderabad/Chennai/Goa. Position 4 can be Delhi or Goa
Thus 2 possibilities are there which can be shown as 

Case 2: Position 1 is Bangalore
Then Chennai can only be at position 4 which leaves, position 2 for Delhi

Total 3 cases are possible from above-given information. Which can be as follows:

In all 3 cases Tiyasha lives in Hyderabad.

Sentence 3 will be the odd one because it talks about alternative rock in general, but the rest of the sentences talk about the alternative rock band Red Hot Chili Pepper. The rest of the sentences, when arranged in sequence 4125, make a coherent paragraph.

4 will be the starting sentence since it introduces the topic, i.e. the band called Red Hot Chili Peppers. 1 will follow 4 because it introduces the band members. 2 will follow 1 because it talks about the kind of music the band makes. Finally, 2 will be followed by 5 as 5 highlights their awards and achievements.

In the passage, the author talks about psychological manipulation that takes place during auctions, which often leads to people overpaying for the auctioned items. 

Options A and C are close, but both are categorical. In the passage, the author majorly discusses the role of psychological persuasion techniques in driving up the prices of items that are scarce in number or quantity. So, it is not possible to generalise the inference. 

Also, option C is extreme when it says that rational bidding is impossible.

Option D is beyond the scope of the passage and can be safely eliminated.

This leaves us with option B, which comes closest to the inference elucidated above. Hence, option B is the answer. 

{But Darwin’s attitude to animals—easily shared by people in everyday contact with dogs, horses, even mice—ran contrary to a long tradition in European thought which held that animals had no minds at all. This way of thinking stemmed from the argument of René Descartes, a great 17th-century philosopher, that people were creatures of reason, linked to the mind of God, while animals were merely machines made of flesh—living robots which, in the words of Nicolas Malebranche, one of his followers, “eat without pleasure, cry without pain, grow without knowing it: they desire nothing, fear nothing, know nothing.”}
Options B and D can be inferred from the last line. Also, Descartes asserts that animals do not have minds. And additionally, humans are creatures of reason. Hence, the mind is essential to be able to reason. Option A can be inferred as well.
Hence, option C is the answer. The author does not present either Descartes or his followers' views on the role animals play in human
existence.

The author states the following in the opening paragraph-
{Through superhero comic books, to the obscure immanence of modern art, from visions of paradisiacal vacations to computer games and the self-mythologising of social media production, we seek a higher ground beyond the banal and the profane.}  Art, media, books all of which are cultural tools, aid an individual who seeks to cross over to a higher ground, separated from the crudity and triteness of the usual reality. Option A can be inferred.
Option B is a distortion. {some seek inner spaces wherein faith and meaning can be transformed into experience.} The author does not assert that an individual tries to form a relationship between faith and meaning. Option B cannot be inferred.
{Lastly, individuals have developed their own ways to create self-narratives that include mythical transitions in pilgrimages or personal quests to their ancestral lands.} Option C can be inferred from this line. 
{We’ve even replaced the effervescent experience of sacred rites, not in blood sacrifice or vision quests, but in our engagement with art, drugs, cinema, rock music and all-night dance parties.} Option D can be inferred from this line.

1 and 3 both can be the starting sentences, but on reading all four sentences, we find that these lines talk about an app called Clubhouse.

3 will start the para because it tells us what is Clubhouse all about, and 2 will follow it as it further elaborates on how it gained popularity. 4 will definitely follow 1 because 4 elaborates on how the tech giants are trying to copy Clubhouse. Finally, the pair 14 will follow 3-2.

Hence, the sequence will be 3214.

Alternate explanation:

On a preliminary read, we notice that all sentences incorporate transition words (like "now", "they", "its") at the beginning. These could serve as potential markers for us to zero in on the correct sequence quickly. The discussion revolves around Clubhouse, which is first introduced to us in Statement 3. The term "its" in 2 points towards the subject ("Its growth..." = "Clubhouse's growth..."); while we notice that Statement 4 begins with "they" (plural ) - thus, points towards multiple entities. It is evident that these entities are Facebook and Twitter mentioned in 1. Hence, 3214 is the correct sequence. 

Let us make a table to show the sitting arrangements and then fill up the details as mentioned

> Shyam is sitting at 2^{nd}2nd place from right
> Qureshi has only one neighbour Shyam
> Person who lives in Goa and the person whose native is Goa is sitting at the maximum possible distance. It implies that these must
be sitting at the extremes. We don't know which end
> Person who drives Charger is one place right of the person whose native is Goa. The person of Native Goa is at the leftmost place

> EIther Shyam or his car was mentioned at the correct place. Since Shyam place was incorrect. His car has to be placed correctly. Since Shyam is at position 4. Dodge which is on position 4 is placed incorrectly.  Audi can not be placed at 5. Thus Audi has to be at 3 and BMW at 5
> Also we observe that postion of Ram, Shyam and Qureshi were incorrect. So either Parul position is correct or Tiyasha position is correct. Since Tiyasha's position is already occupied. Parul is correctly placed at 2. Tiyasha correct place is 3.
> Parul native city is Chennai.

> Person who owns an Audi is not from Delhi. Thus Native Delhi is at a position 4 or 5.
Case I: If Native Delhi is at position 4. Then in the list of native cities. Position 3 or 5 has to be correctly occupied in the initial table. Position 3 is Chennai which is already taken. Position 5 is Delhi but as per this case Delhi is on 4. So this case is not possible.
Case II: Native Delhi is at position 5 which is the same as the current position. Thus position 3 and position 4 information has to be wrong. It is only possible when Bangalore is not at position 4. Thus Bangalore is at position 3. Hyderabad will be at position 4.

Now we need to fill the "Lives in" correctly.
> Person who drives Charger is 1 place left of the person who lives in Hyderabad

Thus Hyderabad is correctly placed. The rest of the 3 positions were incorrectly placed.
Position 1 cannot be Delhi or Goa or Hyderabad. It has to be Chennai or Bangalore.
Case I: Position 1 is Chennai. 
Position 2 cannot be Chennai/Hyderabad or Goa. Position 2 can be Delhi or Bangalore.
Position 4 cannot be Hyderabad/Chennai/Goa. Position 4 can be Delhi or Goa
Thus 2 possibilities are there which can be shown as 

Case 2: Position 1 is Bangalore

Then Chennai can only be at position 4 which leaves, position 2 for Delhi

Total 3 cases are possible from above-given information. Which can be as follows:

In all 3 cases, Shyam drives Dodge

Statement I is a distortion. The author states that "No animals have all the attributes of human minds; but almost all the attributes of human minds are found in some animal or other." The author attempts to convey the point most of the attributes of human minds, say, X,Y, Z etc., are found in animals too. For example, attribute X and Y in animal A, only Y in animal B, only Z in animal C and so on.
{"Nevertheless, most scientists now feel they can say with confidence that some animals process information and express emotions in ways that are accompanied by conscious mental experience.}  But the inference drawn from this line is not sufficient to conclude that the animals are self-aware. Statement II can be eliminated.
{They agree that animals...have complex mental capacities; that a few species have attributes once thought to be unique to people, such as the ability to give objects names and use tools; and that a handful of animals—primates, corvids (the crow family) and cetaceans (whales and dolphins)— have something close to what in humans is seen as culture, in that they develop distinctive ways of doing things which are passed down by imitation and example. Dolphins have been found to imitate the behaviour of other dolphins, in their group.} Statement III can be inferred from these lines. 
In the first paragraph, the author makes the observation that Darwin's attitude to animals was easily shared by people in everyday contact with dogs, horses, even mice. This, however, does not lead to the conclusion mentioned in statement IV. People who seldom came in contact with animals could still have backed Darwin's views.
Only statement III can be inferred. Hence, Option B is the answer.

In the second paragraph, the author states the following about the myths-
{These myths were a response to the loss of previous notions of social order, cosmology and human good and represented ways to portray these social transformations in macrocosmic stories, and were reflections of how people tried to make sense of their rapidly changing world}
In the story of the flood example, the author cites the growing divide between human and divine and man's perception of nature due to the flooding of urban societies. During the Axial age, individuals engaged in introspective exercise and the divide between man and the supreme grew. According to the author, the myths try to make sense of these related but separated social transformations through macrocosmic stories, i.e., stories that universally represent these changes and capture the larger context. 
Now, comparing the options, option D conveys this inference and is the answer.
All other options are either distorted or do not convey the main point elucidated above. 

65536 = 256 x 256

Hence, the sum of rows and columns will be minimum when the number of rows, as well as the number of columns, is 256.

Hence the last cell should be in the form of (256,256)

256 = 260 - 4 = 26 X 10 - 4

A - Z → 26

AA - AZ → 26

BA - BZ → 26

CA - CZ → 26

DA - DZ → 26

EA - EZ → 26

FA - FZ → 26

GA - GZ → 26

HA - HZ → 26

IA - IZ → 26

IZ is the 260th term, hence the 256th term should be IV

Hence the cell should be represented as IV#IV.

Let the sales of the company for the year 2019 be 100P and the sales of the company for the year 2020 be 100 Q.

The sales of the company's individual department can be written as follows:

Furthermore, we are given profit % for a department for a given year. 

For a product sold at SP with a profit %p, the cost price = SP​/(1+p%)

Thus for 2019, the cost to manufacture goods in Packaged foods will be = 20P/1.1

2019, the cost to manufacture goods in Garments will be = 25P/1.1​ and so on

Thus the cost to manufacture good for all 4 departments for 2019 and 2020 can be tabulated as

Given that total cost of manufacturing was same for both the years,

% change in sales = 

% change in sales = 

% change in sales = 

% change in sales = (1.0288−1) × 100%
% change in sales = 2.88%

A#A - M#F
Difference between A and M = 12
Difference between A and F = 5

Hence,  distance = 

ZU#AAD - AAA#ZX
Difference between ZU and AAA = 6
Difference between AAD and ZX = 6

Hence, distance =  

CDE#XXA - CCX#XWT
Difference between CDE and CCX = 7
Difference between XXA and XWT = 7

Hence, distance = 

UV#AB - VA#W
Difference between UV and VA = 5
Difference between AB and W = 5

Hence, distance = 

Hence, Option (A) is the right choice.

Since none of the digits is divisible by 5, Digits can be 1,2,3,4,6,7,8 and 9 only.

From the above we see that C + 0 = 6. Thus C = 6.

Looking at the second digit of the product. Unit place of C +  C = B. Thus unit digit of 6+6(12) is 2. Thus B = 2.

The product simplifies into 

We observe that unit places of D × G = 6 The pair of digits which gives 6 at unit digits on their product are (1,6), (2,3), (2,8), (4,4), (4,9) (6,6) and (7,8). Since we already know that C = 6, B = 2  and  D ≠ G only remaining possible pairs are (4,9) and (7,8). 

Thus (D,G) can be (4,9) or (9,4) or (7,8) or (8,7)

Upon further observation, we see that FGAD × 2 = HFG6 which is a 4-digit number. Thus the maximum possible value of F = 4 (if F≥5 then the product will be at least 5- digit. Thus F = 1 or 3 or 4

We are given that D=2×F Thus F = 4, D= 8 which leaves G =7

The remaining alphabets are A, E and H. The remaining digits to be allocated are 1,3 and 9. 

Since one of the numbers for the product is 27. Thus the final product E27H26 should be divisible by 27. Thus it should be divisible by 9 also. For a number to be divisible by 9, the sum of its digits has to be a multiple of 9

Thus  E+2+7+H+2+6 = 9k or E + H = 9k−17 or E + H = 9k′ + 1 where k =  k′+2

Thus E + H = 1 or 10

E + H = 1 is not possible as both are positive digts. Thus E + H = 10 and it happens when (E,H) = (1,9) or (9,1). Thus it will mean that A = 3 is the only possible scenario. Now we know that the 2 numbers whose product is taken is  4738 and 27. We can input the values and get the following

Thus we obtain the following allocation

Let the sales of the company for the year 2019 be 100P and the sales of the company for the year 2020 be 100 Q.

The sales of the company's individual department can be written as follows:

Furthermore, we are given profit % for a department for a given year. 

For a product sold at SP with a profit %p, the cost price = SP​/(1+p%)

Thus for 2019, the cost to manufacture goods in Packaged foods will be = 20P/1.1

2019, the cost to manufacture goods in Garments will be = 25P/1.1​ and so on

Thus the cost to manufacture good for all 4 departments for 2019 and 2020 can be tabulated as

Given that total cost of manufacturing was same for both the years,

a) Cost of manufacturing Packaged food in 2019 = 20P/1.1 ​∼ 18.18P

b) Cost of manufacturing Home Appliances in 2020 = 25Q/1.2 ​∼ 20.83Q ∼ 21.4333P

c) Cost of manufacturing Home Appliances in 2019 = 15P/1.2 ​= 12.5P

d) Cost of Manufacturing Garments in 2020 = 20Q/1.1 ​= 18.18Q ∼ 18.705P

Clearly option B is greatest among them

To find the total number of ways in which a committee of 3 can be selected from a group of 8 persons, we use the combination formula:

C(8,3) = 8! / (3! * 5!) = 56

This means that there are 56 different possible committees that can be formed.

Now, we need to find the number of committees that have at least one CA degree and one MBA degree held by the committee members. We can do this by subtracting the number of committees that have only CA degrees or only MBA degrees from the total number of committees.

Number of committees with only CA degrees: C(3,3) = 1 (select all 3 CAs)

Number of committees with only MBA degrees: C(4,3) = 4 (select all 3 MBAs or the CA-cum-MBA and any 2 MBAs)

Number of committees with at least one CA degree and one MBA degree: 56 - 1 - 4 = 51

Therefore, there are 51 ways to select a committee of 3 such that there is at least one CA degree and one MBA degree held by the committee members.

Area of outer trapezium = 1/2 x sum of parallel sides\times x height = 1/2 x (35+45)× 40 =1600
For the inner trapezium, lengths of parallel sides are 35 - 4 - 3 = 28 and 45 - 6 - 5 = 34
Height = 40 - 5 - 4 = 31
Hence, area = 1/2 x (28+34)× 31= 1/2 x  62× 31=31× 31=961
Hence, the area where the artificial grass is to be planted = 961 and the area of the track = 1600 - 961 = 639.
Hence, the total cost = 961 x 400 + 639 x 35 = 384400 + 22365 = 406765 Rs.

Let the roots of f'(x) = -a,a

The distance between the minima of f(x) and f'(x) = 5. This implies that f(x) has been shifted 5 units towards the left to get f'(x).

Hence, the roots of f(x) = -a+5 and a+5.

Hence, sum of roots of f(x) = -a+5+a+5 = 10 units.

After cutting, there 64 identical smaller cubes i.e cube’s dimensions are 4 X 4 X 4
One face is not painted. Therefore, there will be 4 cubes on this face which are not painted.
Similarly, there will be 8 more cubes.
Hence, total number of cubes = 12

g(x) is formed by shifting f(x) towards the right along the x-axis by 5 units,

g(x) = 3(x−5)² + 9(x−5) + 3

g(x) = 3(x²−10x+25) + 9(x−5) + 3

g(x) = 3x² − 30x + 75 + 9x − 45 + 3

g(x) = 3x² − 21x + 33

Hence g(x) = 0

3x² − 21x + 33 = 0

x² − 7x + 11 = 0

Hence, sum of the roots = (−7)​/1 = 7

Total number of people having the disease = (1/7) x 140000 = 20000
Let number of patients given A be x.
Therefore, the number of patients given B = 20000 - x 
Therefore, 

x = 14000

Let the number of Rs. 500 notes with A and B be 2x and 3x respectively.
Let the number of Rs. 2000 notes with A and B be 4y and 5y respectively.
Hence, total amount with A = 1000x + 8000y = 24000 or x + 8y = 24...(i)
Total amount with B = 1500x + 10000y = 32000 or 1.5x + 10y = 32...(ii)
Multiplying 1.5 with (i), and then subtracting (ii)
1.5x + 12y = 36
1.5x + 10y = 32
Hence, y = 2.
Solving for x, x = 8.
Hence, difference = 2x - 5y = 16 - 10 = 6

The integral part of the logarithm (base 10) of a natural number is always 1 less than the no. of digits in it. So the integral part of f(x) is 25.

It is given that the base has a diameter of 16 units, it implies that the radius is 8 units and hence the circumference is 16π units
If we cut open the cylinder into a 2-D paper then, the ant has to travel a horizontal distance of half the circumference = 8π units. and vertical distance will be 6π. 
In order to minimise the distance, he has to travel along the hypotenuse formed which is of length = 

xy + 5x + 6y < 20

If we add 30 to both sides, we can easily factorize the left side.

xy + 5x + 6y + 30 < 50

x(y+5) + 6(y+5) < 50

(y+5)(x+6) < 50

(x+6)(y+5) < 50

It has been given that x is a whole number and y is a natural number.

Hence, let us assume the above inequality as AB < 50, where A = x+6 and B = y+5

Since, x ≥ 0 and y ≥ 1, the minimum value of A = 6 and the minimum value of B = 6

Hence, possible ordered pairs of A and B satisfying the inequality is,

6 x 6 < 50

6 x 7 < 50

6 x 8 < 50

7 x 6 < 50

7 x 7 < 50

8 x 6 < 50

Hence, (A,B) can be (6,6), (6,7), (6,8), (7,6), (7,7) or (8,6).

Hence, ordered pair (x,y) can be (0,1), (0,2), (0,3), (1,1), (1,2), (2,1).

Hence, count = 6

Let the length of each side of the outermost square be a.
Hence, the length of each side of the second square = 
The radius of circle = length of side of square / 2 = 
Let the side of the square inside the circle be b.

Hence, b =a/2
Similarly, the side of the square inner to this square = 
Similarly radius of the inner circle = 
And it continues.
Hence, the sum of areas of the squares =  ...

Hence, ratio =