CAT 50 Day Streak Day 5

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CAT 50 Day Streak – Day 5

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

0/30Attempted

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VARC · Verbal Ability & Reading Comprehension

Q1 – Q10 0/10

Passage · Q1 – Q4

As an author of short stories, plays, and novels, Charles Dickens became known the world over for endearing characterisation, vivid narration of ordinary lives, and depiction of the social and moral values of his time. For years, Dickens thrilled readers with his simple stories about simple people forced into real situations. Although Dickens wanted to make a lot of money from his writings, his works invariably aimed to influence the consciousness of his readers, even though it seemed like he knew what his readers wanted.

To some critics, Dickens was an entertainer and his novels lacked intellectual challenge, but The London Times described the British author as the greatest instructor of the nineteenth century in his obituary. The unparalleled sentimentality, rage, plight and bitterness in his novels established Dickens as a spokesman for the downtrodden.

Dickens was born on February 7, 1812, into a poor family in Portsmouth on the southern coast of England. He was the second of eight children. In 1822, the Dickens family moved to Camden Town, a poor neighbourhood in London. The extravagance of his father often brought financial embarrassment to the family and eventually imprisonment for him in 1824. This brought an abrupt end to Dickens’ childhood. He had to discontinue his schooling and support his family by doing manual work at a factory. Young Dickens was rudely introduced to long hours of harsh working conditions and poor pay. He felt orphaned and betrayed by his parents, who he believed should have taken care of him in his childhood. These feelings later became a recurring theme of many of his novels. Characters like Oliver Twist and David Copperfield developed from the harsh experiences of Dickens’ early life.

Dickens’ literary journey started in 1833 when he submitted sketches to various magazines and newspapers under the nickname “Boz.” In 1836, he published The Posthumous Papers of the Pickwick Club, which became widely popular with magazine readers. Soon, his first novel, Oliver Twist, depicting the life of an orphan and inspired by Dickens’ own experience as an impoverished child, hit the stands. The overwhelming success of Oliver Twist turned Dickens into a celebrity, and over the next few years, he struggled to match the literary and commercial standard set by the book.

In 1842, Dickens and his wife, Kate, went on a tour of the United States, where people went crazy listening to him. Upon his return, Dickens wrote American Notes for General Circulation, a sarcastic travelogue criticising American culture and materialism. Over the next couple of years, Dickens published two Christmas stories, including the classic A Christmas Carol. From 1849 to 1850, Dickens worked passionately on his favourite novel, David Copperfield, a sort of autobiography and probably the first work of its kind.

The death of his daughter and father, and separation from his wife in the 1850s, cast a dark shadow on Dickens’ writing during this period. He returned to his original style with A Tale of Two Cities in 1859, a historical novel, followed by Great Expectations in 1861, widely considered his greatest literary feat. On June 9, 1870, Dickens suffered a stroke and died at his country home in Kent, England.

Q1MCQ

The author most likely agrees with all of the following statements EXCEPT:

ADickens was not impressed by the materialism of American society.

BDavid Copperfield, a biographical account of Dickens’ life, is often cited as his best literary achievement.

CDickens’ novels portrayed the attitude of society towards the downtrodden.

DTo some of his critics, Dickens was an entertainer, and his writing was not intellectually challenging.

Solution Answer: B

The passage calls David Copperfield Dickens’ favourite novel. It is Great Expectations that is “widely considered his greatest literary feat”. So the author would not agree with B.

A matches the “sarcastic travelogue criticising American culture and materialism”. C matches his role as “spokesman for the downtrodden”. D is stated almost word for word.

Q2MCQ

Which of the following statements is best taken to be true in the context of the passage?

ADickens played the role of an instructor through his writings.

BDickens was the best British author of the nineteenth century.

CNo other Dickens’ novel could ever match the standard set by Oliver Twist.

DDickens’ writing became sarcastic after the death of his daughter and father.

Solution Answer: A

The London Times called him “the greatest instructor of the nineteenth century”, and his works “aimed to influence the consciousness of his readers”. A is supported.

B turns “greatest instructor” into “best author”. C overstates a temporary struggle, since Great Expectations is called his greatest feat. D links the sarcasm (American Notes, 1842) to the wrong period.

Q3MCQ

Which of the following statements, if true, would most weaken the author’s argument?

ADickens’ parents were responsible for his harsh childhood.

BDickens sympathised with his characters who often survived a life of struggle.

CDickens’ writing emphasised how simple people got forced into real situations.

DDickens wrote his classics during the period of shock that he experienced after the deaths of his daughter and father.

Solution Answer: D

The author says the deaths and the separation “cast a dark shadow” on his writing, and that he returned to form only later with A Tale of Two Cities and Great Expectations. If his classics were written during that shock, this account collapses.

A, B and C are all consistent with, and in fact support, the passage.

Q4MCQ

All of the following are linked to Dickens’ commercial success EXCEPT:

APopularity of The Posthumous Papers of the Pickwick Club

BWidespread appeal of Oliver Twist

CHis critical travelogue American Notes

DPublication of Great Expectations

Solution Answer: C

Pickwick became “widely popular”, Oliver Twist was an “overwhelming success”, and Great Expectations is his “greatest literary feat”. American Notes is described only as a sarcastic travelogue, with no mention of success, so C is the exception.

Q5TITA

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.

There is no doubt that climate change will continue, and the effects of extreme weather events will be felt around the world.
This is a major challenge for agriculture and economy.
Therefore, future research should focus not only on elucidation of the response of the plant-soil-microbiome continuum to extreme moisture but also on finding solutions to help agriculture.
Understanding the processes and interactions that occur in the soil environment as a result of hydrological stress should lead to finding answers on how to help the microbiome, the soil, and therefore the plant survive these stressful conditions.

Solution Answer: 1234

The order runs like this:

1: Climate change and extreme weather will continue.
2: “This” is a major challenge for agriculture.
3: “Therefore”, research should study the plant-soil-microbiome response and find solutions.
4: Understanding soil processes under hydrological stress should lead to those answers.

Q6TITA

Pools are built over and poorly maintained; waterways are polluted and neglected; and ocean beaches are rendered inaccessible to those who most need their curative qualities.
Appearing in many culturally distinct shapes and sizes, communal city baths have long fostered a deep, healing sense of togetherness, abundance, relaxation and grounding.
However, in 21st-century cities, as more luxury baths and spas are built, public blue spaces are in decline.
Many of these public spaces were successful because they were inexpensive (or free) and widely accessible.

Solution Answer: 2431

The order runs like this:

2: Introduces communal city baths and their benefits.
4: “These public spaces” succeeded because they were cheap and accessible.
3: “However”, public blue spaces are now in decline.
1: Gives the concrete signs of that decline (pools, waterways, beaches).

Q7MCQ

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 Genetic studies suggest that dogs were domesticated at least twice, once in Asia and once in Europe.

Paragraph The partnership between humans and dogs is one of the oldest known relationships. ___(1)___. Archaeological evidence shows canines buried alongside humans tens of thousands of years ago. ___(2)___. Scholars debate whether domestication was a single event or occurred in different regions. ___(3)___. This enduring bond transformed both species over millennia. ___(4)___.

AOption 1

BOption 2

COption 3

DOption 4

Solution Answer: C (Option 3)

The sentence gives evidence on the debate “whether domestication was a single event or occurred in different regions”: genetics points to at least two regions. So it must follow that debate, at blank 3.

At blanks 1 and 2 the debate hasn’t been raised yet. Blank 4 comes after the concluding line.

Q8MCQ

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

Passage Since the 1960s and ’70s, Sweden has had a deep interest in Polynesian flavours, like bananas and pineapple, which were introduced in Swedish cookbooks to inspire home cooks. “Deep-fried bananas served with steak or veal is an early dish from the 1960s served at some restaurants,” Tellström says. “Bananas could be served along with ham, as a fancy dish for a Saturday night with the family watching TV. In the ’70s, a simple, everyday dish at home could be sausage filled with tomatoes, pineapple, mustard and ham. In the ’80s, deep-fried bananas were a common dessert at Chinese restaurants, and then served with ice cream and ginger syrup. You could use the new microwave to make an ‘Oriental chicken,’ a dish with chicken, curry, bananas and peanuts.”

ASwedish cuisine has long embraced tropical fruits like bananas and pineapple, incorporating them into both traditional and experimental dishes across decades.

BSince the mid-20th century, Sweden’s fascination with exotic flavours has led to creative recipes blending local and tropical ingredients in everyday and restaurant meals.

CIn the latter half of the 20th century, Swedish home cooks began rejecting local flavours and turning completely toward Polynesian and Oriental dishes.

DSwedish food culture from the 1960s onward became dominated by microwave-based recipes featuring tropical ingredients such as bananas and pineapple.

Solution Answer: B

B gets the time frame right (from the 1960s), the theme (fascination with exotic flavours), and the examples: local staples like steak, ham and sausage mixed with bananas and pineapple, at home and in restaurants.

A’s “long embraced… traditional dishes” misstates a trend that began in the 1960s. C (“rejecting local flavours… completely”) and D (“dominated by microwave recipes”) are exaggerations.

Q9TITA

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.

Its self-interested role in spreading global disinformation is an ongoing crisis.
Recall, too, the company’s secret mood-manipulation experiment in 2012, which deliberately tinkered with what users saw in their News Feed to measure how Facebook could influence people’s emotional states without their knowledge.
Zuckerberg, who in Facebook’s early days had adopted the mantra “Company over country”, wanted every American with an internet connection to have a Facebook account.
Or its participation in inciting genocide in Myanmar in 2017.
Facebook (now Meta) has become an avatar of all that is wrong with Silicon Valley.

Solution Answer: 3

The coherent paragraph is 5 → 1 → 2 → 4:

5: Facebook as the avatar of all that is wrong with Silicon Valley.
1: “Its” role in spreading disinformation.
2: “Recall, too” the mood-manipulation experiment.
4: “Or” its part in inciting genocide in Myanmar.

Sentence 3 is about Zuckerberg’s early ambition for user growth. It isn’t another item in the list of Facebook’s harms.

Q10TITA

But taken to its logical extreme, this classical account of rationality would imply that nobody should ever vote.
Failure to participate in a collective endeavour is fundamentally irrational whenever it risks contributing to outcomes contrary to our own basic interests.
Few question the rationality of minimising our individual carbon footprints, for example, or individually deciding to boycott companies that rely on child labour.
Voting is not fundamentally different from many other actions.
We rely on cooperation to solve a range of pressing challenges, from global warming and extreme poverty to preventable disease.

Solution Answer: 1

Sentences 4, 5, 3 and 2 argue that voting is rational, like other collective actions:

4: Voting is like many other actions.
5: We rely on cooperation for big challenges.
3: “For example”, few question cutting carbon footprints or boycotts.
2: Not participating is irrational when it harms our interests.

Sentence 1 refers to “this classical account of rationality”, which the paragraph never introduces. It also argues the opposite position, that nobody should vote.

DILR · Data Interpretation & Logical Reasoning

Q11 – Q20 0/10

Set 1 · Q11 – Q14

An online Data Science course consisted of 20 modules, numbered 1 to 20, which had to be completed in sequence. A total of 120 students enrolled in the course. However, many students dropped out along the way. The table below shows the cumulative number of male, female, and total students who had dropped out by the completion of each module. The last column indicates that all 120 students eventually dropped out, including those who completed all 20 modules.

Module	3	4	5	6	8	12	15	16	18	20
Male	12			21		41	48		57
Female		10			20	34		45		59
Total			30				88			120

It is also known that:

Each student completed the first module.
At least 2 male and 2 female students dropped out after every module.
No student who dropped out rejoined the course.

Q11TITA

What is the maximum number of students who completed the 17th module but dropped before the 18th module?

Solution Answer: 13

Let m_k and f_k be the males and females who dropped right after module k, each at least 2. From the table, males total 120 − 59 = 61 at module 20, and females total 88 − 48 = 40 at module 15.

Modules	Male drops	Female drops
1–3	12	1–4: 10
4–6	9	5–8: 10
7–12	20	9–12: 14
13–15	7	13–15: 6 (2 each)
16–18	9	16: 5
19–20	4 (2 each)	17–20: 14

m₁₇: m₁₆ + m₁₇ + m₁₈ = 9 with each ≥ 2, so the maximum m₁₇ = 5.

f₁₇: f₁₇ + … + f₂₀ = 14 with each ≥ 2, so the maximum f₁₇ = 8.

Maximum = 5 + 8 = 13.

Q12MCQ

What is the minimum number of modules that could have been completed by half of the students?

C10

D11

Solution Answer: B

We want the earliest module by which 60 students could have dropped out.

By module 8: males ≤ 21 + (20 − 4 × 2) = 33 (modules 9–12 need at least 2 each) and females = 20. Total ≤ 53 < 60.
By module 9: males ≤ 21 + (20 − 3 × 2) = 35 and females ≤ 20 + (14 − 3 × 2) = 28. Total ≤ 63 ≥ 60.

So half the students could have stopped after as few as 9 modules.

Q13TITA

If 45 male students completed at least 5 modules, how many female students completed the 5th module and dropped before the 6th module?

Solution Answer: 4

Detailed solution coming soon.

Q14MCQ

Which of the following statements could be true?

A6 students dropped after the 13th module

BMore than 100 students completed at least 3 modules

CAt least 100 students had dropped out after the 16th module

DOnly 5 students completed the final module

Solution Answer: D

Detailed solution coming soon.

Set 2 · Q15 – Q17

A cube is cut into 125 identical cubes. The cubes present at the corners were taken out and discarded. Also, a cube from the centre of each of the faces was removed. Then, the remaining cube was soaked in blue paint.

Q15MCQ

How many cubes have no face painted?

A21

B25

C27

D18

Solution Answer: A

A 5 × 5 × 5 cube has 8 corners (removed), 36 edge cubes, 54 face cubes (6 of which, the face centres, are removed) and 27 inner cubes.

Cube type	Count	Faces painted
Edge cubes next to a removed corner	24	3
Middle edge cubes	12	2
Face cubes next to a removed face centre	24	2
Other face cubes	24	1
Inner cubes behind a removed face centre	6	1
Remaining inner cubes	21	0

Removing each face centre exposes the inner cube behind it, so 27 − 6 = 21 cubes stay unpainted.

Q16MCQ

How many cubes have 1 face painted?

A18

B24

C30

D36

Solution Answer: C

On each face, the 4 diagonal cells of the central 3 × 3 block touch neither a removed corner nor the removed centre. That gives 4 × 6 = 24 cubes with 1 face painted.

The 6 inner cubes exposed by the removed face centres also get 1 face painted.

Total = 24 + 6 = 30.

Q17MCQ

How many cubes have 2 faces painted?

A24

B30

C32

D36

Solution Answer: D

The middle cube of each of the 12 edges keeps its 2 painted faces: 12 cubes.

On each face, the 4 cubes next to the removed centre gain a second exposed face: 4 × 6 = 24 cubes.

Total = 12 + 24 = 36.

Set 3 · Q18 – Q20

Seema has three daughters – Chhaya, Kaya and Maya. They kept spices in 12 boxes in the kitchen. Seema needed 5 items to prepare a dish. She asked each one of them where the items were kept. The following were the responses:

Question	Chhaya	Kaya	Maya
In which box is Haldi kept?	Box 11	Box 11	Box 10
In which box is Jeera kept?	Box 7	Box 3	Box 7
In which box is Dhania kept?	Box 11	Box 8	Box 12
In which box is Rai kept?	Box 9	Box 4	Box 9
In which box is Lal Mirch kept?	Box 3	Box 7	Box 3

It is known that each girl will answer at least one of the five questions truthfully.

Q18MCQ

If it is known that Chhaya has lied only once, then in how many of the boxes could Dhania have been kept?

D10

Solution Answer: B

Chhaya puts both Haldi and Dhania in box 11, and they can’t both be true. So her single lie is one of those two, and Jeera = 7, Rai = 9 and Lal Mirch = 3 are true.

If Dhania = 11 (Haldi is the lie), none of Kaya’s answers can be true: Haldi isn’t in 11, Jeera is 7, Dhania is 11, Rai is 9 and Lal Mirch is 3. This case is invalid.
So Haldi = 11, and Dhania is the lie. Dhania can be in any box except 3, 7, 9 and 11, which leaves 8 boxes. Kaya is truthful about Haldi, and Maya about Jeera, Rai and Lal Mirch.

Q19TITA

It is known that for each of the questions, at least one of the girls has told the truth and Seema checks Box 3, 4, 7, 8, 10, and 11. What is the minimum number of spices she will be able to find?

Solution Answer: 3

Every spice is in one of the boxes the girls named: Haldi in 10 or 11, Jeera in 3 or 7, Dhania in 8, 11 or 12, Rai in 4 or 9, and Lal Mirch in 3 or 7.

Haldi, Jeera and Lal Mirch are always in checked boxes. Dhania (12) and Rai (9) can both avoid them.

Check that this works: Haldi 11, Jeera 7, Lal Mirch 3, Rai 9 and Dhania 12 give every girl at least one true answer. The minimum is 3.

Q20MCQ

Which of the following could be true about the spices and the boxes they are held in?

AJeera – 3, Lal Mirch – 7, Rai – 4, Dhania – 8, Haldi – 11

BJeera – 7, Lal Mirch – 3, Rai – 9, Dhania – 12, Haldi – 10

CJeera – 9, Lal Mirch – 4, Rai – 8, Dhania – 12, Haldi – 11

DJeera – 7, Lal Mirch – 3, Rai – 10, Dhania – 11, Haldi – 9

Solution Answer: C

Check that each girl has at least one true answer:

A: Maya has no true answer ✗
B: Kaya has no true answer ✗
C: Chhaya (Haldi 11), Kaya (Haldi 11) and Maya (Dhania 12) ✓
D: Kaya has no true answer ✗

QA · Quantitative Ability

Q21 – Q30 0/10

Q21MCQ

A milkman marks up the cost of milk by 100%. He offers x% discount on the milk because of which he incurs a loss of y%. But now he wants to earn y% profit. For this, he added 25% freely available water by volume to the milk and then again 20% freely available water by volume to the new milk solution. And then sells this at the same marked-up price and discount as earlier. Find the value of x.

A40

B50

C60

DCannot be determined

Solution Answer: C

Adding water twice multiplies the volume by 1.25 × 1.2 = 1.5 at no extra cost, so revenue becomes 1.5 times.

1.5(1 − y) = 1 + y, where y is the loss/profit fraction, so y = 0.2. The selling price is therefore 0.8 × CP.

2CP × (1 − x/100) = 0.8CP gives 1 − x/100 = 0.4, so x = 60.

Q22TITA

If log₈ a + log₄ b² = 5 and log₈ b + log₄ a² = 7, what is the value of ab?

Solution Answer: 512

Let A = log₂ a and B = log₂ b. Converting to base 2, the equations become A/3 + B = 5 and B/3 + A = 7.

Adding them: (4/3)(A + B) = 12, so A + B = 9.

ab = 2⁹ = 512.

Q23MCQ

A square ABCD is inscribed in a circle of unit radius. AB is extended to E, such that EC is a tangent to the circle. What is the length of ED?

A√12

B√10

D√8

Solution Answer: B

Put the centre at the origin with s = 1/√2: A(−s, −s), B(s, −s), C(s, s), D(−s, s).

The tangent at C is x + y = 2s. It meets line AB (y = −s) at E(3s, −s).

ED² = (4s)² + (2s)² = 20s² = 10, so ED = √10.

Q24MCQ

A man borrowed ₹8000 from a bank at a certain rate of simple interest. After four years, he repaid ₹3700. At the end of the sixth year, he paid ₹6026.40 and cleared the loan. What was the rate of interest charged by the bank?

A7%

B6%

C5%

D4%

Solution Answer: D

After 4 years he owes 8000(1 + 4r). After paying 3700, the balance is 4300 + 32000r. Two more years of simple interest gives (4300 + 32000r)(1 + 2r) = 6026.40.

Try r = 4%: the balance is 4300 + 1280 = 5580, and 5580 × 1.08 = 6026.40 ✓. The rate is 4%.

Q25MCQ

Find the remainder when 4 + 44 + 444 + 4444 + … + 444…4 (50 digits) is divided by 9.

Solution Answer: C

A number is congruent to its digit sum mod 9, so a string of n 4s ≡ 4n (mod 9).

The sum ≡ 4(1 + 2 + … + 50) = 4 × 1275 = 5100 ≡ 5 + 1 + 0 + 0 = 6 (mod 9).

Q26MCQ

Seven people get into the elevator in the basement of a 12-story building, but none of them wants to get off on the first floor. In how many different ways can these seven people get off on different floors?

A1451520

B1663200

C1764000

D3175200

Solution Answer: B

The usable floors are 2 to 12 (nobody gets off at the first floor), which is 11 floors.

The 7 people must get off on different floors, so we arrange them on 7 of the 11 floors: ¹¹P₇ = 11 × 10 × 9 × 8 × 7 × 6 × 5 = 16,63,200.

Q27MCQ

The rate of evaporation of water from an alcohol solution in sunlight is 2.5 L/hour. At 8:00 AM, the volume of alcohol in the mixture was 90 litres more than the volume of water. By 2:00 PM on the same day, the ratio of water to alcohol becomes 1 : 8. What percentage of the total volume of the mixture will be alcohol at 6:00 PM on the same day?

A90%

B94%

C96%

D98%

Solution Answer: C

Let the water at 8 AM be W, so the alcohol is W + 90. By 2 PM, 15 L of water has evaporated: W + 90 = 8(W − 15), so W = 30 and the alcohol is 120.

By 6 PM, 10 L more has gone, leaving 5 L of water. Alcohol = 120/125 = 96%.

Q28TITA

If |x| < 100 and |y| < 100, then the number of integer solutions of (x, y) satisfying the equation 12x + 7y + 9 = 0 is

Solution Answer: 17

We need 12x + 9 ≡ 0 (mod 7), i.e. 5x ≡ 5, so x ≡ 1 (mod 7). Writing x = 1 + 7t gives y = −3 − 12t.

|x| < 100 gives −14 ≤ t ≤ 14, and |y| < 100 gives −8 ≤ t ≤ 8.

So t runs from −8 to 8: 17 solutions.

Q29MCQ

A survey of a village shows that 56% of the total population is male, and amongst the males, 75% are educated. Furthermore, it is known that the number of uneducated females is 8910, which constitutes 19.8% of the entire village population. What percentage of the village’s total population consists of educated persons?

A66.2%

B68.4%

C69.6%

D70.8%

Solution Answer: A

Educated males = 0.75 × 56% = 42% of the population.

Females are 44%, of which 19.8% (of the total) are uneducated, so educated females = 24.2%.

Educated total = 42% + 24.2% = 66.2%. (The total population, 45,000, isn’t actually needed.)

Q30MCQ

ABC is a triangle, right-angled at B. The lengths of AB and BC are 16 and 12 cm, respectively. E is a point on AB. A line from E, parallel to BC, intersects AC at F. Another line from F, parallel to AB, intersects BC at G. Find the minimum distance EG.

A10.8 cm

B10.5 cm

C9.6 cm

D9 cm

Solution Answer: C

EBGF is a rectangle, so its diagonals are equal: EG = BF.

BF is shortest when BF ⊥ AC. With AC = 20, the minimum is (16 × 12) ÷ 20 = 9.6 cm.

Day 5 complete! 🔥

0 / 90

Correct: 0 · Wrong: 0 · Accuracy: 0%

Keep the streak alive. See you tomorrow for Day 6.

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