CAT 50 Day Streak Day 6

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CAT 50 Day Streak – Day 6

30 questions across VARC, DILR & QA · +3 for a correct answer · −1 for a wrong MCQ · no negative marking for TITA

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VARC · Verbal Ability & Reading Comprehension

Q1 – Q10 0/10

Passage · Q1 – Q4

Denialism is an expansion, an intensification, of denial. At root, denial and denialism are simply a subset of the many ways humans have developed to use language to deceive others and themselves. Denial can be as simple as refusing to accept that someone else is speaking truthfully. Denial can be as unfathomable as the multiple ways we avoid acknowledging our weaknesses and secret desires. Denialism is more than just another manifestation of the humdrum intricacies of our deceptions and self-deceptions. It represents the transformation of the everyday practice of denial into a whole new way of seeing the world and – most important – a collective accomplishment. Denial is furtive and routine; denialism is combative and extraordinary. Denial hides from the truth, denialism builds a new and better truth.

In recent years, the term has been used to describe a number of fields of “scholarship”, whose scholars engage in audacious projects to hold back, against seemingly insurmountable odds, the findings of an avalanche of research. They argue that the Holocaust (and other genocides) never happened, that anthropogenic (human-caused) climate change is a myth, that Aids either does not exist or is unrelated to HIV, that evolution is a scientific impossibility, and that all manner of other scientific and historical orthodoxies must be rejected.

In some ways, denialism is a terrible term. No one calls themselves a “denialist”, and no one signs up to all forms of denialism. In fact, denialism is founded on the assertion that it is not denialism. In the wake of Freud (or at least the vulgarisation of Freud), no one wants to be accused of being “in denial”, and labelling people denialists seems to compound the insult by implying that they have taken the private sickness of denial and turned it into public dogma.

But denial and denialism are closely linked; what humans do on a large scale is rooted in what we do on a small scale. While everyday denial can be harmful, it is also just a mundane way for humans to respond to the incredibly difficult challenge of living in a social world in which people lie, make mistakes and have desires that cannot be openly acknowledged. Denialism is rooted in human tendencies that are neither freakish nor pathological.

All that said, there is no doubt that denialism is dangerous. In some cases, we can point to concrete examples of denialism causing actual harm. In South Africa, President Thabo Mbeki, in office between 1999 and 2008, was influenced by Aids denialists such as Peter Duesberg, who deny the link between HIV and Aids (or even HIV’s existence) and cast doubt on the effectiveness of anti-retroviral drugs. Mbeki’s reluctance to implement national treatment programmes using anti-retrovirals has been estimated to have cost the lives of 330,000 people. On a smaller scale, in early 2017 the Somali-American community in Minnesota was struck by a childhood measles outbreak, as a direct result of proponents of the discredited theory that the MMR vaccine causes autism, persuading parents not to vaccinate their children.

Q1MCQ

The passage suggests that a key difference between a person engaging in simple denial and a group engaging in denialism is:

Athe level of scientific evidence available to refute their claims.

Bthe transformation of a private coping mechanism into a collective, ideological crusade.

Cthe sincerity of their belief in their own deception.

Dthe presence of a single charismatic leader to direct the group’s actions.

Solution Answer: B

Denialism is “the transformation of the everyday practice of denial into a whole new way of seeing the world and… a collective accomplishment”. Denial is “furtive and routine”, while denialism is “combative”. That is B.

A, C and D (evidence levels, sincerity, a leader) are never presented as the distinguishing feature.

Q2MCQ

The primary function of the third paragraph is to:

Aacknowledge a potential objection to the author’s chosen terminology to add nuance to the argument.

Bintroduce the Freudian psychological roots of denial as the main cause of the phenomenon.

Cdefinitively argue that the term “denialist” is an unhelpful insult and should be abandoned.

Dsuggest that denialism is a modern phenomenon resulting from the vulgarization of Freud.

Solution Answer: A

“In some ways, denialism is a terrible term” concedes a problem with the label. The next paragraph opens with “But…” and keeps using it. So the third paragraph acknowledges an objection without abandoning the term.

B and D misread the Freud reference, which only explains why the label stings. C is too strong, since the author continues to use the term.

Q3MCQ

The CEO of a major oil company privately acknowledges the overwhelming scientific consensus on anthropogenic climate change but continues to fund lobbying groups that publicly dispute its existence and promote doubt. According to the passage’s definitions, the CEO’s funding of these groups is an example of promoting:

Asimple denial, as it is a routine business practice to protect profits.

Bdenialism, because it supports a collective, combative project to build an alternative truth.

Cself-deception, as the CEO is trying to convince himself that climate change is not real.

Da pathological and freakish tendency to deceive the public.

Solution Answer: B

Funding public campaigns that dispute climate science supports an organised, collective effort to “build a new and better truth”. That fits the passage’s definition of denialism.

A: the effort is public and combative, not furtive. C: the CEO privately accepts the science, so he isn’t deceiving himself. D: the author explicitly says denialism is not freakish or pathological.

Q4MCQ

The author’s claim that denialism is rooted in human tendencies that are “neither freakish nor pathological” would be most seriously weakened if which of the following were discovered?

AA historical analysis shows that denialist movements are most successful during times of significant social or economic instability.

BA sociological survey finds that adherents to denialist movements are often from similar educational and socioeconomic backgrounds.

CMany prominent leaders of denialist movements admit in private that they do not actually believe their own public statements.

DA neuroscientific study reveals that individuals who strongly subscribe to denialist ideologies consistently share a rare and specific cognitive disorder.

Solution Answer: D

If committed denialists shared a rare cognitive disorder, denialism would be pathological and unusual. D directly contradicts the claim.

A and B describe social conditions or demographics, not pathology. C concerns insincerity, which is compatible with ordinary human deception.

Q5MCQ

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence Astronomers now suspect that microbial life could survive in subsurface oceans beneath the icy crust.

Paragraph Jupiter’s moon Europa has long fascinated planetary scientists. ___(1)___. Its cracked surface hints at a hidden ocean kept liquid by tidal heating. ___(2)___. Probes have detected chemical signatures that suggest complex interactions between rock and water. ___(3)___. These discoveries make Europa one of the most promising candidates in the search for extraterrestrial life. ___(4)___.

AOption 1

BOption 2

COption 3

DOption 4

Solution Answer: C (Option 3)

The evidence builds in steps: a hidden ocean, then rock–water chemistry, then the inference that microbes could survive there. “These discoveries” then sums everything up and links it to the search for life.

At blanks 1 and 2 the evidence hasn’t been presented yet. Blank 4 comes after the conclusion.

Q6MCQ

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence Aristotle insisted that true friendship was grounded in virtue rather than utility or pleasure.

Paragraph Philosophers since antiquity have puzzled over the nature of friendship. ___(1)___. Different traditions distinguish between fleeting companionships and lasting bonds. ___(2)___. For the ancients, friendship was not just personal but political, shaping the life of the city. ___(3)___. The debate continues today in light of digital connections and social media. ___(4)___.

AOption 1

BOption 2

COption 3

DOption 4

Solution Answer: B (Option 2)

Aristotle’s split between virtue-based friendship and friendship of utility or pleasure is a concrete example of traditions distinguishing “fleeting companionships and lasting bonds”. The paragraph then broadens to “the ancients” and friendship’s political role.

At blank 1 the distinction hasn’t been drawn yet. Blanks 3 and 4 have moved on to politics and modern debates.

Q7TITA

The four sentences (labelled 1, 2, 3 and 4) given 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.

A defendant’s risk of reoffending, for example, is sometimes calculated using data that reflects racial or economic biases.
The consequences of such errors can shape lives in profoundly damaging ways.
As predictive algorithms become more common in the justice system, critics warn that they can perpetuate existing inequalities.
This means that the very systems intended to improve fairness might actually reinforce prejudice.

Solution Answer: 3142

The order runs like this:

3: Introduces the concern that algorithms can perpetuate inequality.
1: “For example”, risk scores use biased data.
4: “This means” fairness tools may reinforce prejudice.
2: “The consequences of such errors” concludes.

Q8TITA

If so, the familiar pattern of creative destruction may become more destructive than creative.
The question with artificial intelligence is whether the pace of change will outstrip the ability of workers to adapt.
Yet history shows that automation often creates new industries alongside the ones it disrupts.
Every wave of technological change has raised fears of job destruction.

Solution Answer: 4321

The order runs like this:

4: Every technological wave has raised job fears.
3: “Yet” history shows new industries emerge.
2: The AI question is whether change will outpace adaptation.
1: “If so”, creative destruction turns destructive.

Q9MCQ

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Passage Many compassionate people, including many clinicians, think shame can serve no useful role in recovery from addiction. There are two arguments. First, that shame is uniquely toxic because, like the shame I just described, it is often global, a negative emotional evaluation of who one is: I am a failure as a person. It makes little sense to think that such an evaluation could seed or motivate a healthy confidence that one can overcome the addiction. It makes much more sense to think that experiencing the shame of addiction provides a new reason to use. Second, the current enlightened view is that addiction is a disease, and diseases are not the kind of thing one has control over or responsibility for getting, or not getting, or un-getting.

AShame is considered harmful in addiction recovery because it deepens feelings of failure and is inconsistent with the understanding of addiction as a disease beyond personal control.

BSince addiction is increasingly viewed as a disease rather than a moral weakness, shame can still play a role by helping individuals confront their denial and take responsibility for recovery.

CMany clinicians believe that shame, though distressing, can have a corrective effect by prompting addicts to reflect on their choices, but it is only effective when balanced with empathy and support.

DWhile some argue that shame might motivate recovery, many clinicians hold that it is counterproductive because it deepens self-blame and undermines the belief that change is possible.

Solution Answer: A

The passage gives two arguments against shame: it is a global sense of personal failure, and it clashes with the view of addiction as a disease beyond one’s control. A captures both.

B and C claim shame can help, which is the opposite of the view described. D brings in a “some argue shame might motivate” side that isn’t in the passage, and it drops the disease argument.

Q10TITA

Five jumbled-up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.

Along with his colleague Frauke Sachse of the University of Bonn, he has identified multiple dialects and languages in the same handwritten book.
A bishop named Diego de Landa convinced a Mayan scribe, Gaspar Antonio Chi, to match, letter for letter, the signs of the Mayan script and the Spanish alphabet.
The scribe’s frustration with de Landa is evident in the last exercise that he completed for the bishop. Asked to pen any sentence in Mayan hieroglyphs, Chi wrote: “I don’t want to.”
When the scribe heard the Spanish pronunciation of the letter ‘b,’ says Pallán, he wrote the sign for bih, which means “road.”
The long line of code-breakers to take on Mayan hieroglyphs started with Spanish colonists in the sixteenth century.

Solution Answer: 1

The coherent paragraph is 5 → 2 → 4 → 3:

5: Code-breaking began with Spanish colonists.
2: De Landa made Chi match signs to letters.
4: The ‘b’ → bih confusion.
3: Chi’s frustration: “I don’t want to.”

Sentence 1 jumps to modern research, identifying dialects in a handwritten book. It is outside the colonial-era anecdote.

DILR · Data Interpretation & Logical Reasoning

Q11 – Q20 0/10

Set 1 · Q11 – Q15

A garment store has t-shirts from 5 brands: Allen Solly, Monte Carlo, Nike, Numero Uno, and Provogue. For each of these brands, t-shirts are available in five sizes: S, M, L, XL, and XXL. Partial information is known about the number of t-shirts of these sizes. The total number of t-shirts of every brand is known, and the number of t-shirts of sizes S and M is given. Apart from that, the ratios M:XL and L:XXL are given in the table below:

Brand	S	M	M:XL	L:XXL	Total
Allen Solly	385	306	17:13	5:7	1501
Monte Carlo	279	315	9:7	13:10	1322
Nike	320	225	5:6	7:8	1430
Numero Uno	188	343	7:6	3:4	1413
Provogue	254	248	8:11	7:5	1371

Q11MCQ

Let Q1, Q2 and Q3 represent the quantities of t-shirts of sizes L, XL and XXL of the five brands. Which of the following relations is correct?

AQ1 > Q2 > Q3

BQ1 < Q2 > Q3

CQ1 > Q2 < Q3

DQ1 < Q2 < Q3

Solution Answer: D

For each brand: XL = M × (XL ratio part ÷ M ratio part), then L + XXL = Total − S − M − XL, split in the L:XXL ratio.

Brand	S	M	L	XL	XXL	Total
Allen Solly	385	306	240	234	336	1501
Monte Carlo	279	315	273	245	210	1322
Nike	320	225	287	270	328	1430
Numero Uno	188	343	252	294	336	1413
Provogue	254	248	308	341	220	1371
Total	1426	1437	1360	1384	1430	7037

Q1 (L) = 1360 < Q2 (XL) = 1384 < Q3 (XXL) = 1430, which is option D.

Q12MCQ

How many brands have more than 300 L-sized t-shirts?

ANone

Solution Answer: B

L sizes: 240, 273, 287, 252 and 308. Only Provogue (308) is above 300, so the answer is 1.

Q13TITA

What is the median number of L-sized t-shirts across the five brands?

Solution Answer: 273

Sorted L values: 240, 252, 273, 287, 308. The median is 273 (Monte Carlo).

Q14TITA

For how many brands are XL-sized t-shirts less than XXL-sized t-shirts?

Solution Answer: 3

XL < XXL holds for Allen Solly (234 < 336), Nike (270 < 328) and Numero Uno (294 < 336). It fails for Monte Carlo and Provogue. The answer is 3.

Q15MCQ

For which brand are XXL-sized t-shirts, as a percentage of the total number of t-shirts, the highest?

ANumero Uno

BAllen Solly

CNike

DProvogue

Solution Answer: A

XXL as a share of each brand’s total: Allen Solly 336/1501 ≈ 22.4%, Monte Carlo 210/1322 ≈ 15.9%, Nike 328/1430 ≈ 22.9%, Numero Uno 336/1413 ≈ 23.8%, Provogue 220/1371 ≈ 16.0%.

The highest is Numero Uno.

Set 2 · Q16 – Q20

Three men, Akshay, Bipin and Charles, along with their wives, are sitting in a row. Each of them is either facing north or south. No pair of husband and wife is facing the same direction. Each of the six people belongs to a different profession: pilot, lawyer, nurse, author, singer and chef. Also:

The chef and the lawyer are facing the same direction, and both of them are to the left of the singer.
Tripti, the nurse, is the wife of the chef, who is sitting at one of the ends.
The pilot is facing south, and he is the husband of Shipra, the singer.
None adjacent to Usha is facing south, and none is sitting to the left of Akshay, the author.

Q16MCQ

Who among the following is to the immediate right of Usha?

ATripti

BShipra

CBipin

DCharles

Solution Answer: B

“Left” and “right” are taken from each person’s own facing direction.

Bipin and Charles are the chef and the pilot, since Akshay is the author. Usha is the lawyer and Akshay’s wife.
The pilot faces south, so Shipra faces north. The chef and Usha are on Shipra’s left, so they also face north. Akshay and Tripti then face south.
The chef sits at one end. Nobody is on Akshay’s left, so he sits at the other end.
Usha’s neighbours both face north, so she sits between the chef and Shipra.

Position	1	2	3	4	5	6
Person	Chef (Bipin/Charles)	Usha (lawyer)	Shipra (singer)	Tripti / Pilot	Pilot / Tripti	Akshay (author)
Facing	North	North	North	South	South	South

Usha faces north at position 2, so her immediate right is position 3: Shipra.

Q17MCQ

Who among the following cannot be to the immediate right of Akshay?

ACharles

BTripti

CBipin

DShipra

Solution Answer: D

“Left” and “right” are taken from the point of view of the person facing that way.

Who is who. The chef and the pilot are husbands, and Akshay is the author, so Bipin and Charles are the chef and the pilot. Usha, the remaining wife, is the lawyer and Akshay’s wife.
Directions. The pilot faces south, so Shipra faces north. The chef and Usha face the same way, so Tripti and Akshay both face the opposite way.
Ends. The chef sits at one end. Nobody is to Akshay’s left, so he sits at the other end.
The singer. The chef and Usha are on Shipra’s left. Shipra faces north, which fixes that the chef and Usha face north too. So Akshay and Tripti face south.
Usha. Both her neighbours face north, so she sits between the chef and Shipra.

Position	1	2	3	4	5	6
Person	Chef (Bipin/Charles)	Usha (lawyer)	Shipra (singer)	Tripti / Pilot	Pilot / Tripti	Akshay (author)
Facing	North	North	North	South	South	South

Akshay faces south at position 6, so his immediate right is position 5: Tripti or the pilot (Bipin/Charles). Shipra can never be there.

Q18MCQ

If Shipra is adjacent to Charles, then who among the following is adjacent to Akshay?

AUsha

BTripti

CBipin

DShipra

Solution Answer: B

Shipra (position 3) is next to Usha and to position 4. The chef at position 1 isn’t adjacent to her, so Charles must be the pilot at position 4.

Tripti then sits at position 5, next to Akshay. The answer is Tripti.

Q19MCQ

Who among the following cannot be a neighbour of Shipra?

AUsha

BTripti

CCharles

DNone of the above

Solution Answer: D

Shipra’s neighbours are Usha (always) and whoever sits at position 4: Tripti, or the pilot, who may be Charles.

Each of Usha, Tripti and Charles can be her neighbour, so the answer is none of the above.

Q20MCQ

Which of the following statements is definitely true?

ANo pair of husband and wife is adjacent to each other.

BExactly one pair of wife and husband is adjacent to each other.

CAt most one pair of wife and husband is adjacent to each other.

DAt least one pair of wife and husband is adjacent to each other.

Solution Answer: C

Chef (1) and Tripti (4/5) are never adjacent. Akshay (6) and Usha (2) are never adjacent. The pilot and Shipra are adjacent only when the pilot sits at position 4.

So either 0 or 1 couple sits together. Only “at most one” is definitely true.

QA · Quantitative Ability

Q21 – Q30 0/10

Q21TITA

A mango vendor sells 50% of his stock each day. 10% of the remaining stock spoils overnight. After three nights, he calculates that a total of 1322 mangoes have spoiled. Assuming the vendor purchased his entire stock only on the first day, how many mangoes did he start with?

Solution Answer: 16000

Start with N mangoes.

Night 1: 0.5N remain, 0.05N spoil, 0.45N left.
Night 2: 0.225N remain, 0.0225N spoil, 0.2025N left.
Night 3: 0.10125N remain, 0.010125N spoil.

Total spoiled = 0.082625N = 1322, so N = 16,000.

Q22MCQ

Which of the following exponentials is the largest?

A3³⁴

B5¹⁸

C7¹⁶

D16¹²

Solution Answer: A

Compare the logs (base 10):

34 log 3 ≈ 34 × 0.477 ≈ 16.2
18 log 5 ≈ 18 × 0.699 ≈ 12.6
16 log 7 ≈ 16 × 0.845 ≈ 13.5
12 log 16 ≈ 12 × 1.204 ≈ 14.4

3³⁴ is the largest.

Q23TITA

Find the maximum value of the function: y = 70|x + 2| + |x| + |x − 1| + |x − 2| + |x − 3|

Solution Answer: 10

y is largest when the denominator, a sum of distances from −2, 0, 1, 2 and 3, is smallest. That happens at the median point, x = 1.

The minimum sum is 3 + 1 + 0 + 1 + 2 = 7, so the maximum y = 70/7 = 10.

Q24MCQ

If the coordinates of the vertices of triangle ABC are A(−3, −3), B(−1, 3), and C(11, −1), find the length of the median AD.

A5√2

B4√5

C10√2

D10

Solution Answer: D

Detailed solution coming soon.

Q25MCQ

Anil and Bhanu together can complete a work in 35 days, and Anil, Bhanu, and Capil together can complete the same work in 17.5 days. If the ratio of the efficiencies of Capil and Dhinesh is 3 : 2, then in how many days can Anil, Bhanu and Dhinesh together complete the work?

A21

B28

C20

D25

Solution Answer: A

Rates: A + B = 1/35 and A + B + C = 2/35, so C = 1/35. Then D = (2/3)C = 2/105.

A + B + D = 3/105 + 2/105 = 5/105 = 1/21, so they take 21 days.

Q26MCQ

If log₃ 4 = x, and log₄ 5 = y, express log₂₀ 12 in terms of x and y.

Ay + 1xy + y

Bx + 1xy + y

Cy + 1xy + x

Dx + 1xy + x

Solution Answer: D

Work in base 4: log₄ 12 = log₄ 3 + 1 = 1/x + 1, and log₄ 20 = log₄ 5 + 1 = y + 1.

log₂₀ 12 = (1/x + 1)/(y + 1) = (x + 1)/(xy + x).

Q27MCQ

The grass in a field grows at a constant rate. If 70 cows can eat all the grass in 24 days, and 30 cows can eat the same amount of grass in 60 days, how many cows will eat all the grass in 96 days?

A16

B18

C20

D24

Solution Answer: C

Let G be the initial grass and r the daily growth, both measured in cow-days: 1680 = G + 24r and 1800 = G + 60r.

So r = 10/3 and G = 1600. For 96 days: 96n = 1600 + 320 = 1920, so n = 20 cows.

Q28TITA

Find the sum of all integer solutions to the inequality given below: (√5 − 2)^x² > (√5 − 2)^4x

Solution Answer: 6

The base √5 − 2 ≈ 0.236 lies between 0 and 1, so the inequality flips when comparing exponents: x² < 4x, which means 0 < x < 4.

The integer solutions are 1, 2 and 3, with sum 6.

Q29MCQ

In the given figure, AOB is a quarter circle. AC and CD are two tangents meeting the quarter-circle at A and E, respectively. If AC = 4 cm, and ED = 6 cm, find the radius of the quarter-circle.

Quarter circle AOB with tangent AC at A and tangent CD touching the arc at E, D on OB extended

A7.5 cm

B8 cm

C9 cm

D10 cm

Solution Answer: B

Tangents from an external point are equal, so CE = CA = 4 and CD = 4 + 6 = 10.

Place O at the origin with A(0, r) and C(4, r), and let D = (d, 0). Since D is also an external point, DE² = d² − r² = 36. From CD = 10: (d − 4)² + r² = 100.

Adding: (d − 4)² + d² = 136, i.e. d² − 4d − 60 = 0, so d = 10. Then r² = 100 − 36 = 64, and r = 8 cm.

Q30MCQ

In a company, the average salary of top management is Rs. 3 lakhs/month, of middle management is Rs. 1.6 lakhs/month, and of lower management is Rs. 60000/month. The average salary of top and middle management is Rs. 2 lakhs/month, and of top and lower management is Rs. 1 lakh/month. If there are 20 employees in top management, find the number of employees in middle and lower management altogether.

A120

B125

C150

D200

Solution Answer: C

Top and middle: 20 × 3 + 1.6m = 2(20 + m), so m = 50.

Top and lower: 20 × 3 + 0.6l = 1 × (20 + l), so l = 100.

Middle + lower = 150.

Day 6 complete! 🔥

0 / 90

Correct: 0 · Wrong: 0 · Accuracy: 0%

Keep the streak alive. See you tomorrow for Day 7.