Ashoka Aptitude Assessment · Paper 2

Logical, Quantitative & Critical Reasoning

1. Q1Modern Math › Permutation & CombinationMedium

   A case competition team of $4$ students is to be selected from $6$ marketing students and $5$ finance students. In how many ways can the team be formed if it must include at least $2$ finance students?

   A$185$B$200$C$240$D$215$

   Correct answerExplanation (with Test Prep)
2. Q2Critical Reasoning › Assessing EvidenceEasy

   A representative sample is a subset of a larger group or population that accurately reflects the characteristics, attributes, diversity (or other key interest areas) of that larger group.

   Which of the following experiments is MOST LIKELY to give the researcher a representative sample for their study?

   AMitwa wants to know whether her coworkers prefer tea or coffee. She randomly selects a bunch of people of different ages and varying food habits from the office to survey.BAgni conducts a study to investigate the effects of a new dietary supplement on weight loss. To recruit participants for the study, he advertises widely in a variety of fitness magazines and sports clubs.CAnima wants to study reliance on smartphones in her university setting. She distributes an online survey through the university's official Instagram page to collect data on smartphone usage patterns among students.DIsmail conducts a study on the effectiveness of a new education program in his district. He plans to administer a post-program assessment to the football team who stays back for after-school sports practice and analyse their performance data.

   Correct answerExplanation (with Test Prep)
3. Q3Modern Math › ProbabilityEasy

   A box contains 5 silver badges and 4 gold badges. Two badges are picked one after another without replacement. What is the probability that both badges picked are gold?

   A$\frac{1}{6}$B$\frac{2}{9}$C$\frac{16}{81}$D$\frac{1}{9}$

   Correct answerExplanation (with Test Prep)
4. Q4

   This question is also in Ashoka AAA Mock 1, so it stays hidden until you sit the mock. Sit the mock →

5. Q5Arithmetic › Pipes & CisternsMedium

   Pipe A can fill a tank in 12 hours, Pipe B can fill it in 18 hours, and Pipe C can empty it in 36 hours. All three pipes are opened together for 3 hours. After that, Pipe C is closed, while A and B continue. How long will it take in total to fill the tank?

   A7 hours 12 minutesB7 hours 48 minutesC8 hoursD9 hours

   Correct answerExplanation (with Test Prep)
6. Q6

   This question is also in Ashoka AAA Mock 1, so it stays hidden until you sit the mock. Sit the mock →

7. Q7Geometry › MensurationEasy

   A design lab melts 12 identical metal spheres, each of radius 3 cm, and recasts the metal into one solid cylinder of radius 6 cm. Assuming no metal is lost, what is the height of the cylinder?

   A9 cmB12 cmC15 cmD18 cm

   Correct answerExplanation (with Test Prep)
8. Q8Critical Reasoning › Statements & InferencesEasy

   City planning is integral in shaping the social and political life of citizens. The type of public transportation available tells us about affordability and safety. The grandeur of official buildings can show us the economic status of the country, its architectural history, or how the government would like to be remembered. The city plan reveals who the space is catered to serve, and who it excludes.

   Imagine a city with large and high-tech buildings, smart office spaces, multiple large parking spaces, green parks that have paid access, and no footpaths or crossings. Which of the following would be DEFINITELY TRUE about this city?

   AThe city makes it difficult for low-income classes to survive.BThe city is beautiful to walk around and has low levels of crime.CThe city is built for the labour class and makes it easy to earn a living.DThe city has an inclusive and vibrant culture with cosmopolitan values.

   Correct answerExplanation (with Test Prep)
9. Q9Modern Math › Permutation & CombinationMedium

   Seven student entrepreneurs A, B, C, D, E, F and G are to be seated in a row for a panel photo. C and D must occupy the two end positions, and A and B must sit together. In how many ways can they be arranged?

   A48B72C96D120

   Correct answerExplanation (with Test Prep)
10. Q10Critical Reasoning › Statements & InferencesMedium

    Read the excerpt and answer the question that follows.

    Language is dynamic, full of life and self-expression, often defying translation. Languages chronicle their journeys across time, capturing changes in the social fabric. Every aspect of language is deemed significant, with each detail revealing the internal logic of the language system and its movement across time.

    Which of the following is an example of a language chronicling its movement?

    AA record of how legal terminology evolved during the colonial period.BA list of scientific words added to the Oxford English Dictionary in 2012.CAn old inscription dictating rule of Sanskrit grammar.DAn old Hindi song remixed with modern beats.

    Correct answerExplanation (with Test Prep)
11. Q11Arithmetic › Mean, Median & ModeHard

    A startup tracks the number of demo calls booked over $5$ days as: $6, 8, 10, 12$, and $14$. After a new referral campaign, each day’s bookings become “twice the old bookings plus $5$”. What is the variance of the new $5$-day data set?

    A$8$B$16$C$32$D$37$

    Correct answerExplanation (with Test Prep)
12. Q12Critical Reasoning › SyllogismsMedium

    Given below are two statements about two types of water bodies - lakes and oceans, followed by three conclusions.

    Statement I: All oceans are salty.

    Statement II: Lakes and oceans are different water bodies.

    Conclusion (i): No lakes are salty.

    Conclusion (ii): Lakes may or may not be salty.

    Conclusion (iii): No water body can be classified as both a lake and an ocean.

    Which of the following conclusions logically follow from Statements I and II?

    A(i) onlyB(ii) onlyC(i) and (iii) onlyD(ii) and (iii) only

    Correct answerExplanation (with Test Prep)
13. Q13Logical Reasoning › Spatial ReasoningEasy

    A rectangular sheet is first folded vertically so that the left edge lies exactly on the right edge. It is then folded horizontally so that the bottom edge lies exactly on the top edge. One hole is punched near the folded corner, not on any crease. When the sheet is completely unfolded, which pattern will appear?

    A1 hole near one corner onlyB2 holes mirrored across the vertical fold onlyC2 holes mirrored across the horizontal fold onlyD4 holes, one in each quadrant, mirrored across both folds

    Correct answerExplanation (with Test Prep)
14. Q14Critical Reasoning › Argument StructureMedium

    Over a century ago, Henry Ford revolutionised car production by investing heavily in new electrical machinery and developing a more efficient assembly line. Yes, these new technologies brought some amount of automation, as centralised electricity sources enabled machines to perform more tasks more efficiently. But the reorganisation of the factory that accompanied electrification also created new tasks for workers and thousands of new jobs with higher wages, bolstering shared prosperity. Ford led the way in demonstrating that creating human-complementary technology is good business.

    Which of the following best expresses the main principle of the above argument?

    AWithout investing heavily in capital infrastructure, wealth generation cannot be brought about.BFactory reorganisation is the key element that determines a change in job profiles.CAnything that has a human element in it is good business.DTechnology should not be built as an end in itself, but as a means to further human-centric growth.

    Correct answerExplanation (with Test Prep)
15. Q15Algebra › Quadratic EquationsMedium

    A campus merchandise stall sells hoodies during a fest. If the stall gives a discount of ₹$20x$ per hoodie, its profit per hoodie becomes ₹$(600 - 20x)$, and the number of hoodies sold becomes $(40 + 2x)$. What is the maximum total profit the stall can make?

    A₹24,000B₹25,000C₹26,400D₹5,000

    Correct answerExplanation (with Test Prep)
16. Q16Logical Reasoning › SeriesMedium

    Find the next term in the series: B3, D6, G12, K24, P48, ?

    AU96BV96CV90DW96

    Correct answerExplanation (with Test Prep)
17. Q17Number System › FactorisationEasy

    For a campus fundraiser, the organising team labels souvenir boxes from $1$ to $90$ and later calculates $90!$ while coding an inventory shortcut. How many trailing zeros will $90!$ have?

    A18B20C21D22

    Correct answerExplanation (with Test Prep)
18. Q18Critical Reasoning › Argument StructureMedium

    Argument: If the new app notification system had genuinely improved student attendance, then attendance should have increased after it was introduced. Attendance did not increase after it was introduced. Therefore, the new notification system did not genuinely improve attendance. Which of the following has the same logical structure?

    AIf the discount campaign had increased sales, then sales would have gone up during the campaign. Sales did not go up during the campaign. Therefore, the discount campaign did not increase sales.BIf a café improves its menu, customers usually return more often. This café improved its menu, so customers will definitely return more often.CA college launched a new attendance app, and attendance fell. Therefore, apps reduce attendance.DIf a product is popular, it gets many reviews. This product got many reviews, so it must be popular.

    Correct answerExplanation (with Test Prep)
19. Q19

    This question is also in Ashoka AAA Mock 1, so it stays hidden until you sit the mock. Sit the mock →

20. Q20Logical Reasoning › Coding-DecodingEasy

    In a code used for a B-school quiz, each letter of a word is shifted forward by its position in the word. For example, the 1st letter is shifted by 1, the 2nd letter by 2, the 3rd letter by 3, and so on. How will BRAND be coded?

    ACSBOEBCTDRICDTDQIDCTCSH

    Correct answerExplanation (with Test Prep)