CAT 50 Day Streak Day 7

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CAT 50 Day Streak – Day 7

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

0/30Attempted

0Correct

0Wrong

0Score / 90

VARC · Verbal Ability & Reading Comprehension

Q1 – Q10 0/10

Passage · Q1 – Q4

I’m not so sure impostor syndrome is entirely a bad thing. If you feel it, it means you are stretching your comfort zone, you are doing something new that you just aren’t used to yet, and these are good things to do. This is how we grow. Observe the voice saying whatever it is that your impostor syndrome tells you, but don’t take it too seriously. It doesn’t know what it’s talking about!

You’re not imagining the challenge of meetings. They’re a skill like any other, and some people have had a lifetime of practice. If you didn’t grow up in an environment where conversation and self-expression were encouraged, no wonder it feels unnatural. But unnatural doesn’t mean impossible. It just means new. That voice in your head telling you that you’re saying the wrong things, or not saying enough, is not telling the truth. It’s just old echoes of growing up in a critical environment where confidence wasn’t nurtured. You are carrying a history that some of your colleagues aren’t; it doesn’t mean you’re not capable. It just means you must approach it differently.

The psychologist Erica Boothby noticed that she felt she had made a bad impression on a new person. Her partner Gus Cooney witnessed this encounter, and he thought her exchange had been warm and friendly. They wondered whether this was a common experience for everyone. Do we consistently underestimate how much another person appreciates our presence or our input? They called this phenomenon the “liking gap”. It’s the gap between the impression we think we’ve made and the impression we actually make. Their subsequent studies showed that we humans consistently pessimistically underestimate how much other people appreciate us.

Right now, you’re exhausted: small children, broken sleep, a job that’s pushing you out of your comfort zone. Anyone would struggle in those conditions. This isn’t you failing; it is you surviving under pressure. What if you changed the goal? Instead of expecting meetings to feel natural and effortless, what if the aim was just to tolerate the discomfort for now? Not to make it go away overnight, just to get through, knowing that over time it will get easier. What if, after a meeting, instead of replaying every word, you just said: “That was enough. I am enough. I did it. On to the next.” It will feel strange or even untrue when you say it. Never mind. The old voice is also untrue; it’s just that you’re used to it. Make the “I am enough” mantra more familiar, and it will begin to feel true, and that will help your confidence.

You don’t have to feel like you belong in every room to make an impact in it. You just have to stay in the room. Keep showing up. Keep tolerating the discomfort. You might not have had parents who built your confidence, but you can build it in relationships with others, because the more you speak up, the more normal it will feel. Even if the self-doubt never fully goes away, it doesn’t have to run the show.

Q1MCQ

The author implies that the “old voice” of self-doubt is

Aan accurate, if harsh, assessment of one’s professional capabilities.

Ba universal human experience that is impossible to overcome entirely.

Ca conditioned response from past environments that lacks current validity.

Da psychological phenomenon exclusive to people with young children and stressful jobs.

Solution Answer: C

The voice is “just old echoes of growing up in a critical environment”, and it “is not telling the truth”. So it is a conditioned response from the past with no current validity.

A contradicts “untrue”. B overstates: the author says self-doubt “doesn’t have to run the show”. D confuses the reader’s current circumstances with the source of the voice.

Q2MCQ

The author introduces the study on the “liking gap” primarily to

Aintroduce the psychologists Erica Boothby and Gus Cooney as leading authorities on impostor syndrome.

Bprovide evidence that the inner critic’s negative social assessments are likely distorted and overly pessimistic.

Ctransition from discussing professional challenges to interpersonal relationships.

Dargue that social anxiety is a more significant problem than impostor syndrome.

Solution Answer: B

The study shows that people “consistently pessimistically underestimate how much other people appreciate us”. It is evidence that the inner voice’s verdicts on meetings are distorted.

A: the researchers are cited for evidence, not introduced as authorities. C: the passage stays on meetings. D: no such comparison is made.

Q3MCQ

Which of the following best summarises the author’s core advice for managing feelings of inadequacy in challenging situations?

AThe only way to overcome impostor syndrome is to seek out environments that are less critical and more nurturing than the one you grew up in.

BPeople who experience impostor syndrome should focus on their exhaustion, as this is the root cause of their lack of confidence.

CConfidence is primarily built by ignoring the opinions of others and focusing solely on one’s own internal validation.

DReframe discomfort as a sign of personal growth, challenge the validity of the inner critic, and build confidence through persistent participation rather than waiting to feel ready.

Solution Answer: D

D brings together the author’s three moves: discomfort means “this is how we grow”, the voice “is not telling the truth”, and “keep showing up… stay in the room”.

A: the author says to stay in the room, not seek new environments. B: exhaustion is context, not the root cause. C: confidence is built “in relationships with others”.

Q4MCQ

All of the following can be inferred from the passage, except:

AThe author believes that feelings of self-doubt often stem from early-life experiences rather than objective shortcomings.

BThe “liking gap” research suggests that people’s internal assessments of social interactions are frequently inaccurate.

CThe author views exhaustion and life stress as sufficient justification for permanently avoiding challenging environments.

DThe process of building confidence is portrayed as gradual, requiring tolerance of discomfort and persistence over time.

Solution Answer: C

The author acknowledges the exhaustion but urges the reader to “stay in the room” and “keep showing up”, the opposite of avoidance. C cannot be inferred.

A, B and D are all directly supported.

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 As it happens, aspiring screenwriters in 21st-century Hollywood are following a rubric set out in the 4th century BCE.

Paragraph The formula is particularly repetitive in cinema. ___(1)___. In his Poetics, Aristotle defines a well-constructed plot as having three main acts, and names other essential elements such as the ‘reversal of the Situation’, which is ‘a change by which the action veers round to its opposite’. ___(2)___. Aristotle’s schema was developed by later thinkers from Terence and Seneca to the 19th-century German novelist and playwright Gustav Freytag, who distilled stories into his pyramid diagram of exposition, rising action, climax and resolution. ___(3)___. A philosophical parallel might arguably be found in Hegel’s dialectic, from thesis to antithesis and finally to synthesis. ___(4)___.

AOption 1

BOption 2

COption 3

DOption 4

Solution Answer: A (Option 1)

The sentence links “cinema” (Hollywood screenwriters) to an ancient source (the 4th century BCE). The next sentence then names that source, Aristotle’s Poetics. It bridges the two, so it goes at blank 1.

At blanks 2–4, Aristotle has already been introduced and the paragraph has moved on to later thinkers.

Q6TITA

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.

An employee of Candy.ai, one of the new AI dating sites exhibiting at the conference, said the site’s AI girlfriends offered a range of services.
It really depends on what the user needs,” he said.
Or if you prefer to have deep conversations, that’s there as well.
So you need to evolve the relationship with them in order to ask for something like this.
“If you want more adult-type relationships, like porn, we have this content.

Solution Answer: 4

The coherent paragraph is 1 → 5 → 3 → 2:

1: The employee says the AI girlfriends offer a range of services.
5: The quote opens: “If you want more adult-type relationships…”
3: “Or if you prefer deep conversations…”
2: The quote closes: “It really depends on what the user needs,” he said.

Sentence 4 describes having to “evolve the relationship” before asking. That contradicts the on-demand “range of services” in the quote, and it breaks the quotation marks, which open in 5 and close in 2.

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.

But at least two people have become seriously ill from a strain of H5N1 related to the D1.1 genotype that is currently circulating in poultry and wild birds.
Since the beginning of 2024, 70 people in the U.S. have been confirmed infected with H5N1; most of them have been dairy and poultry workers.
Those two cases included one person in Louisiana who died from their infection.
Infections in dairy workers have generally been mild, causing conjunctivitis and mild respiratory symptoms.

Solution Answer: 2413

The order runs like this:

2: The overview: 70 infected, mostly dairy and poultry workers.
4: Infections in dairy workers have been mild.
1: “But” at least two became seriously ill from the D1.1 strain.
3: “Those two cases” included one death.

Q8MCQ

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

Passage Researchers believe pretesting is beneficial because it improves the way that we process the to-be-learned material. ‘We could talk for hours about the mechanism,’ says Steven Pan, a cognitive scientist at the National University of Singapore, who recently co-authored a review of the pretesting effect. ‘Making a guess might trigger things. Make you more curious.’ Increased attention to the to-be-learned material could be another factor. Pan and his colleagues have observed reduced mind-wandering after pretesting, and other researchers have shown that participants’ eyes focus more on sentences related to the questions they received in advance. Other potential mechanisms include an improved motivation to learn and that pretesting acts as a metacognitive ‘reality check’, highlighting what you do and do not know and encouraging you to fill in knowledge gaps.

AResearchers have concluded that pretesting improves performance mainly because it gives students a preview of upcoming questions and helps them remember the answers better.

BPretesting is effective because it motivates learners to guess answers, increases their confidence, and reduces the time they spend on irrelevant material during study sessions.

CPretesting encourages students to memorise material more efficiently by guessing correct answers and focusing only on the most important details for exams.

DPretesting enhances learning by prompting curiosity, improving attention, reducing distractions, and encouraging learners to identify and address their knowledge gaps.

Solution Answer: D

D lists the mechanisms the passage proposes: curiosity, attention, less mind-wandering, and a metacognitive “reality check” that exposes knowledge gaps.

A reduces pretesting to previewing and memorising answers. B adds “confidence”, which the passage never mentions. C’s “guessing correct answers” and exam focus aren’t in the passage.

Q9TITA

We suggest that compared with others, skilful storytellers have a stronger sense of meaning in life.
Therefore, to excel at storytelling, individuals must develop two key skills.
Second, they must learn to see the world through the eyes of their characters, understanding the why of what drives people.
The typical narrative focuses on a hero who strives to achieve a goal, such as landing a job or winning someone’s heart, while facing various obstacles and challenges along the way.
First, they need to connect the dots—the events of the story—in a meaningful way to create a coherent narrative.

Solution Answer: 1

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

4: What a typical narrative looks like.
2: “Therefore”, storytellers need two skills.
5: “First”, connect the dots.
3: “Second”, see through the characters’ eyes.

Sentence 1 is about storytellers’ sense of meaning in life, a separate claim from what storytelling requires.

Q10MCQ

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 The worm corpses left behind the day after rain suggest that their journey is more difficult than it seems – on the surface, far from their underground burrows, worms can get stranded.

Paragraph I find them outside my home, writhing in the heat as the sun bakes them alive. ___(1)___. Their little bodies twist and turn as they desperately try to return to the safety of the soil beneath the grass. ___(2)___. Watching them struggle so violently, one might wonder why they can’t just save themselves by using that energy to wriggle off the street. ___(3)___. Their task is Sisyphean, their dilemma at once futile and inescapable. ___(4)___. For that reason, I like to think that I understand them a little. They’re just trying to get where they’re going.

AOption 1

BOption 2

COption 3

DOption 4

Solution Answer: C (Option 3)

The sentence answers the question just raised: why can’t worms simply wriggle off the street? Because on the surface they get stranded. That difficulty then leads into “Their task is Sisyphean”.

At blanks 1 and 2 the question hasn’t been posed. At blank 4 the conclusion has already been drawn.

DILR · Data Interpretation & Logical Reasoning

Q11 – Q20 0/10

Set 1 · Q11 – Q15

Six schools, A, B, C, D, E and F, have a total of 2100 students. The following facts are known:

Each school has a distinct number of students, which is more than 100.
For any group of schools, the average number of students in them is an integer. For example, if we take schools A, C, D and F, the average number of students in these four schools should be an integer.
Schools A and E have students in the ratio 5:7.
The number of students in school C is equal to the sum of the number of students in schools B and D.
School F does not have the highest number of students.

Q11MCQ

How many students are there in school F?

A120

B180

C240

DCannot be determined

Solution Answer: B

Same remainder mod 60. Every group of 2, 3, 4 or 5 schools has an integer average. Swapping one school in a group for another shows that all six numbers leave the same remainder r mod 2, 3, 4 and 5, i.e. mod 60.
r = 0. C = B + D means r ≡ 2r (mod 60), so r = 0. Every school has a multiple of 60 students.
Units of 60. The six unit counts are distinct, each at least 2 (since each school has more than 100), and they sum to 2100 ÷ 60 = 35.
A and E. A : E = 5 : 7 in multiples of 60 gives A = 5 and E = 7 units (A = 10, E = 14 leaves too little for the rest).
C and F. Then B + C + D + F = 23 with C = B + D, so 2C + F = 23. C = 6 makes F = 11 the highest ✗. C = 8 makes F = 7, same as E ✗. C = 9 makes F = 5, same as A ✗. So C = 10 and F = 3, with B + D = 10 as {2, 8} or {4, 6}.

School	A	B	C	D	E	F
Students	300	120 / 480 / 240 / 360	600	(the other of B’s pair)	420	180

So {B, D} = {120, 480} or {240, 360}, and F = 180.

Q12MCQ

Which school has the fewest number of students?

DCannot be determined

Solution Answer: D

If {B, D} = {120, 480}, the fewest is B or D (120). If {B, D} = {240, 360}, the fewest is F (180). It cannot be determined.

Q13TITA

What is the maximum number of students in a school?

Solution Answer: 600

School C has 600 students, more than every other school in either case (the largest alternative is 480). The maximum is 600.

Q14MCQ

What is the average number of students in schools A, C, E and F?

A375

B390

C420

DCannot be determined

Solution Answer: A

(300 + 600 + 420 + 180) ÷ 4 = 1500 ÷ 4 = 375.

Q15TITA

If there are 240 students in school B, how many students are there in school D?

Solution Answer: 360

B + D = C = 600, so D = 600 − 240 = 360.

Set 2 · Q16 – Q20

Hridyesh, a RAW agent, sends a secret code consisting of 12 words in the form of a 3 × 4 matrix (as shown in the figure). The 12 words are: Argon, Backout, Cameo, Design, Earplug, Fairy, Goat, Hacker, Imported, Juice, Kudos and Liberty. Each coded word has been allocated a position in the matrix (2 × 3 position represents row 2 and column 3).

	Column 1	Column 2	Column 3	Column 4
Row 1	1 × 1	1 × 2	1 × 3	1 × 4
Row 2	2 × 1	2 × 2	2 × 3	2 × 4
Row 3	3 × 1	3 × 2	3 × 3	3 × 4

The words in 1 × 2 and 1 × 3 have the same number of letters.
Fairy is immediately above Design, and Liberty is to the immediate left of Fairy.
The word in 3 × 4 is shorter than the word in 2 × 1.
Kudos is separated from Earplug vertically by only one word, Backout.
Imported is at position 3 × 2, and the word to the immediate right of it has an odd number of letters.
Juice and Hacker are in the same column, and Juice is below Hacker.
Goat is not in the same row or column as Cameo.

Q16MCQ

Which word is in the position 2 × 4?

AGoat

BJuice

CBackout

DHacker

Solution Answer: B

Word lengths: Argon 5, Backout 7, Cameo 5, Design 6, Earplug 7, Fairy 5, Goat 4, Hacker 6, Imported 8, Juice 5, Kudos 5, Liberty 7.

Kudos–Backout–Earplug fill one whole column, with Backout in row 2. That column can’t be column 2, because Imported is at 3 × 2.
That column is column 3. In column 1, Liberty/Fairy/Design can’t be placed without clashing with the 1 × 2 = 1 × 3 or odd-3 × 3 rules. In column 4, Goat and Cameo are forced into the same column.
Column 3. Liberty/Fairy must go in columns 1–2 with Fairy at 1 × 2 and Design at 2 × 2. Then 1 × 3 must be a 5-letter word, so Kudos (5) is at 1 × 3 and Earplug (7, odd) at 3 × 3.
Remaining words. Hacker above Juice in column 4, together with “3 × 4 shorter than 2 × 1” and the Goat–Cameo rule, leave one fit: Hacker 1 × 4, Juice 2 × 4, Goat 3 × 4, Cameo 2 × 1, Argon 3 × 1.

	Col 1	Col 2	Col 3	Col 4
Row 1	Liberty	Fairy	Kudos	Hacker
Row 2	Cameo	Design	Backout	Juice
Row 3	Argon	Imported	Earplug	Goat

Position 2 × 4 holds Juice.

Q17TITA

What is the sum of the letters of words in row 2?

Solution Answer: 23

Row 2 is Cameo (5) + Design (6) + Backout (7) + Juice (5) = 23.

Q18MCQ

Which word is to the immediate left of Backout?

AImported

BFairy

CArgon

DDesign

Solution Answer: D

Backout is at 2 × 3, so its immediate left is 2 × 2: Design.

Q19MCQ

What is the position of Goat?

A3 × 1

B1 × 1

C3 × 4

D1 × 2

Solution Answer: C

Goat is at 3 × 4. It is shorter than Cameo (2 × 1) and shares neither a row nor a column with it.

Q20MCQ

Which word is to the immediate right of Argon?

AImported

BFairy

CCameo

DNone of the above

Solution Answer: A

Argon is at 3 × 1, so its immediate right is 3 × 2: Imported.

QA · Quantitative Ability

Q21 – Q30 0/10

Q21MCQ

If (129)₁₀ = (xxx)_y, what is (xx)₁₀ in base y?

A21

B33

C43

D53

Solution Answer: D

x(y² + y + 1) = 129 = 3 × 43. Taking x = 3 gives y² + y + 1 = 43, so y = 6.

(xx)₁₀ = 33, and 33 = 5 × 6 + 3, so in base 6 it is 53.

Q22TITA

If 2⁸ + 2¹¹ + 2ⁿ = m², where m and n are positive integers, find the value of m.

Solution Answer: 80

2⁸ + 2¹¹ = 2304 = 48², so 2ⁿ = m² − 48² = (m − 48)(m + 48).

Both factors must be powers of 2 that differ by 96: 32 and 128. So m = 80 (and n = 12).

Q23MCQ

A bus is 150 m ahead of a car moving in the same direction. The bus is moving at a speed of 48 km/h. The car driver observes a truck moving towards him at 60 km/h, 600 m away from him. If he decides to overtake the bus before the bus and the truck cross each other, his minimum speed (in km/h) must be

A96 km/h

B90 km/h

C84 km/h

D72 km/h

Solution Answer: C

The bus and truck are 450 m apart and close at 48 + 60 = 108 km/h = 30 m/s, so they meet in 15 s.

The car must gain 150 m on the bus in 15 s, i.e. 10 m/s = 36 km/h faster than the bus. Minimum speed = 48 + 36 = 84 km/h.

Q24TITA

If the only integral solution of (x − 1)³ + (x − 2)³ + (x − 3)³ + … + (x − 99)³ = 0 is k, find the value of 1 + 2 + 3 + … + k.

Solution Answer: 1275

At x = 50 the terms are 49³, 48³, …, 0, …, (−49)³, which cancel in pairs to give 0. The left side is strictly increasing, so k = 50 is the only root.

1 + 2 + … + 50 = 50 × 51 ÷ 2 = 1275.

Q25MCQ

A person sells two kinds of shirts: cotton and silk. A pair of cotton shirts is sold at 30% profit, and a pair of silk shirts is sold at 50% profit. The seller calculated that if he sells 100% more silk shirts than cotton shirts, his overall profit will be 45%. However, he ends up selling 50% more cotton shirts than silk shirts. What will be his overall profit?

A40%

B41.15%

C42.33%

D43.85%

Solution Answer: A

Let the cost of a cotton pair be c and a silk pair be s. With 1 cotton for every 2 silk: (0.3c + 2 × 0.5s) = 0.45(c + 2s), which gives s = 1.5c.

Actual sales are 3 cotton for every 2 silk. Cost = 3c + 3c = 6c, and profit = 0.9c + 1.5c = 2.4c.

Overall profit = 2.4c ÷ 6c = 40%.

Q26MCQ

Find the number of 5-letter words, formed with or without meaning, having 2 vowels and 3 consonants taken from the letters of the word ‘DURATION’.

A3120

B2880

C2400

D2560

Solution Answer: B

DURATION has 4 vowels (U, A, I, O) and 4 consonants (D, R, T, N), all distinct.

Choose 2 vowels (⁴C₂ = 6) and 3 consonants (⁴C₃ = 4), then arrange the 5 letters (5! = 120): 6 × 4 × 120 = 2880.

Q27TITA

Given six line segments of lengths 2, 3, 4, 5, 6, 7 units, the number of triangles that can be formed by these line segments is

Solution Answer: 13

Count by the longest side c, needing the other two to sum to more than c:

c = 4: (2, 3). That is 1.
c = 5: (2, 4), (3, 4). That is 2.
c = 6: (2, 5), (3, 4), (3, 5), (4, 5). That is 4.
c = 7: (2, 6), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6). That is 6.

Total = 13.

Q28MCQ

4 years ago, the ratio of the ages of Alex and Bob was 3 : 2. 6 years hence, the average of the ages of Alex, Bob and Corey will be equal to the present average of the ages of Alex and Bob. If Corey is 6 years old, what is the present age of Bob?

A16 years

B20 years

C18 years

D28 years

Solution Answer: B

(A + 6 + B + 6 + 12) ÷ 3 = (A + B) ÷ 2, so A + B = 48.

Four years ago their total was 40, split 3 : 2 as 24 and 16. So Bob is now 16 + 4 = 20 years.

Q29MCQ

In the given figure, O is the center of the circle. AC is a chord and B is a point on AC such that OB = AB. What is the radius of the circle?

Circle with centre O, chord AC, point B on AC with AB = 5, OB = 5 and BC = 11

A4√5

B2√5

C5√3

D4√6

Solution Answer: A

From the figure, AB = OB = 5 and BC = 11.

For a point B inside a circle on chord AC, AB × BC = r² − OB² (the power of a point). So 5 × 11 = r² − 25, giving r² = 80.

r = 4√5.

Q30MCQ

Sarthak, Saloni, and Sajan pay 25%, 22%, and 28% of their income as tax, respectively. The incomes of Sarthak and Saloni are the same, and the difference between the tax paid by them is Rs. 5100. Tax paid by Sajan is Rs. 21100 less than the total tax paid by Sarthak and Saloni together. Find the income of Sajan.

ARs 225000

BRs 220000

CRs 210000

DRs 200000

Solution Answer: C

3% of the common income is 5100, so the income is 1,70,000. Together Sarthak and Saloni pay 47% of 1,70,000 = 79,900.

Sajan pays 79,900 − 21,100 = 58,800, which is 28% of his income. His income = 58,800 ÷ 0.28 = Rs 2,10,000.

Day 7 complete! 🔥

0 / 90

Correct: 0 · Wrong: 0 · Accuracy: 0%

Keep the streak alive. See you tomorrow for Day 8.

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