Ashoka Aptitude Assessment · Paper 5

Logical, Quantitative & Critical Reasoning

1. Q1Arithmetic › Mean, Median & ModeEasy

   The weekly sales calls made by $7$ interns are: $18, 22, 27, 31, x, 24$, and $29$. If the mean number of calls is $26$, what are the median and mode of the data set?

   AMedian $= 27$, Mode $= 31$BMedian $= 31$, Mode $= 27$CMedian $= 26$, Mode $= 31$DMedian $= 29$, Mode $= 31$

   Correct answerExplanation (with Test Prep)
2. Q2Algebra › InequalitiesMedium

   In the following coded inequalities, the symbols have these meanings:

   $A \star B$ means $A \ge B$, $A \# B$ means $A > B$, $A @ B$ means $A < B$, and $A = B$ means $A$ is equal to $B$.

   Statements: $R \star S$, $S \star T$, $T = U$

   Conclusions:

   I. $R \# U$

   II. $R = U$

   III. $U @ S$

   Which conclusion is definitely true?

   AOnly I followsBOnly II followsCEither I or II followsDOnly III follows

   Correct answerExplanation (with Test Prep)
3. Q3Algebra › InequalitiesMedium

   A café manager is checking how many daily coupon codes can be issued if the code number $x$ must satisfy both conditions: $-4x + 7 \leq 19$ and $3x - 2 < 13$. If $x$ must be an integer, how many possible values of $x$ are there?

   A6B7C8D9

   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. Q5Algebra › Quadratic EquationsEasy

   If $\alpha$ and $\beta$ are the roots of the equation $2x^2 - 7x + 3 = 0$, what is the value of $\alpha^2 + \beta^2$?

   A$\frac{25}{4}$B$\frac{43}{2}$C$\frac{49}{4}$D$\frac{37}{4}$

   Correct answerExplanation (with Test Prep)
6. Q6Logical Reasoning › AnalogyEasy

   Draft is to Published as Prototype is to ?

   ASketchBLaunchedCFactoryDDesigner

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7. Q7–Q8

   These 2 questions are also in Ashoka AAA Mock 1, so they stay hidden until you sit the mock. Sit the mock →

8. Q9Arithmetic › Mean, Median & ModeMedium

   The numbers of participants in seven Ashoka club workshops were recorded as: 18, 22, 25, $x$, 24, 22, and 30. If the mean number of participants is 24, what is the median of the complete data set?

   A22B27C25D24

   Correct answerExplanation (with Test Prep)
9. Q10Critical Reasoning › Statements & InferencesEasy

   Cotton is really important to developed economies, but for least-developed and developing countries, it is a safety net. Cotton is a major source of income for many rural labourers, including women, providing employment and income in the poorest areas of the world. It is also comfortable, hypoallergenic, breathable and durable, making it ideal for hot climates. World Cotton Day, which the UN now marks every 7 October, began as an initiative of the C4, or the Cotton Four countries, who are major producers and exporters of cotton.

   Based on this information, which of the following is DEFINITELY FALSE about the C4 countries?

   AThe C4 have a large labour class of women employed in cotton cultivation.BThe C4 are the most developed nations in the world.CThe C4 engage in cotton trade with many countries.DThe C4 are situated far away from the poles.

   Correct answerExplanation (with Test Prep)
10. Q11Algebra › InequalitiesEasy

    How many integer values of $x$ satisfy both inequalities:

    $-3(2x-5)<9$ and $4x+1\le17$?

    A2B5C4D3

    Correct answerExplanation (with Test Prep)
11. Q12Critical Reasoning › Assessing EvidenceMedium

    Guns, Germs, and Steel (1997) by Jared Diamond suggests that geographical, climatic, and biological advantages, rather than cultural or societal factors, shaped history's course. Diamond highlights Eurasia's diverse climate and resources, giving it an edge in agriculture, disease resistance, and metallurgy. While the book is praised for covering a wide range of topics, critics point out that it mainly focuses on European views and suggests that historical events are pre-decided or unavoidable, not allowing much room for other influences or choices.

    Based on the above summary, which of these is an argument AGAINST Diamond's theory?

    AAfrican societies had to contend with an influx of tropical diseases, which impacted social organisation.BPolitical ideals, individual leadership, and Enlightenment Age ideas drove the American revolution.CThe Mongol Empire's ability to conquer vast territories was facilitated by their superior horsemanship and military tactics.DThe Silk Road facilitated the exchange of goods, ideas, and technologies between East and West.

    Correct answerExplanation (with Test Prep)
12. Q13Arithmetic › Time, Speed & DistanceMedium

    A student cycles from her hostel to a café, a distance of 24 km, at 12 km/h. She returns by the same route at 18 km/h because the road is clearer. What is her average speed for the entire round trip?

    A14.4 km/hB15 km/hC15.6 km/hD16 km/h

    Correct answerExplanation (with Test Prep)
13. Q14Logical Reasoning › Direction SenseMedium

    Mira starts from the Ashoka library and walks 7 km east. She then turns right and walks 9 km. After that, she turns left and walks 5 km. Finally, she turns left again and walks 14 km. What is her net straight-line distance from the library, and in which direction is she?

    A13 km, north-eastB35 km, north-eastC13 km, north-westD17 km, east

    Correct answerExplanation (with Test Prep)
14. Q15

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

15. Q16Logical Reasoning › Direction SenseMedium

    Mehul starts from the Ashoka library and walks 7 m east, then turns left and walks 15 m. He then turns right and walks 9 m, and finally turns right again and walks 27 m. How far and in which direction is he from his starting point?

    A20 m, south-eastB58 m, south-eastC20 m, north-eastD18 m, south-east

    Correct answerExplanation (with Test Prep)
16. Q17

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

17. Q18Critical Reasoning › Argument StructureEasy

    Read the passage given below and answer the question that follows.

    "In March, Microsoft launched Tay, an AI chatbot, on Twitter. Within 16 hours, they had to remove it because it mimicked the offensive messages it received. Microsoft apologised, underscoring that current AI can easily be influenced. The focus should be on AI's present challenges rather than futuristic fears."

    The above passage is a counter-argument to one of the following claims. Which claim is that MOST LIKELY to be?

    AAI is being modelled in a way that is indistinguishable from human behaviour, and that can be incredibly dangerous especially on social media sites.BAI has immense potential to problem-solve and fix the most impossible challenges faced by humanity, due to its relatability and smartness.CAI has little understanding of ideology or morality, and simply absorbs and regenerates information without exercising discretion or criticality.DAI poses an existential threat to humankind, and if not handled carefully, has the potential to control or wipe out the human race.

    Correct answerExplanation (with Test Prep)
18. Q19Algebra › Quadratic EquationsMedium

    A campus café wants to fence a rectangular outdoor seating area using 96 metres of fencing. One side of the rectangle is along an existing wall, so fencing is needed for only the other three sides. What is the maximum possible area of the seating space?

    A576 sq mB1,024 sq mC1,152 sq mD2,304 sq m

    Correct answerExplanation (with Test Prep)
19. Q20Critical Reasoning › Argument StructureEasy

    A student council member argues: “Every time our university café plays instrumental music during lunch, the queue seems to move faster. Therefore, instrumental music must make the staff serve faster, so we should play it all day to reduce waiting time.” Which option best identifies the flaw in the argument?

    AIt assumes that because two things occur together, one must be causing the otherBIt ignores the possibility that students may dislike instrumental musicCIt gives no exact measurement of how many minutes the queue takesDIt disagrees with the idea that music can affect workplace behaviour

    Correct answerExplanation (with Test Prep)