Ashoka Aptitude Assessment · Paper 3

Logical, Quantitative & Critical Reasoning

1. Q1Number System › Unit DigitEasy

   What is the unit digit of $7^{123} + 3^{82}$?

   A0B6C4D2

   Correct answerExplanation (with Test Prep)
2. Q2Modern Math › Permutation & CombinationMedium

   A startup club has 6 product students and 5 design students. A 4-member pitch team must be formed with at least 2 design students. In how many ways can the team be selected?

   A205B250C230D215

   Correct answerExplanation (with Test Prep)
3. Q3

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

4. Q4Logical Reasoning › Coding-DecodingEasy

   PITCH is to SLWFK as GRANT is to ?

   AHSBQUBJUDQWCITCPUDJVDQX

   Correct answerExplanation (with Test Prep)
5. Q5Arithmetic › Mean, Median & ModeMedium

   The number of survey responses collected by a student team over six days was: 12, 15, 15, 19, 23, and $x$. If the mean number of responses was 17, what was the median of the six-day data set?

   A15B16.5C17D18

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

   Choose the option that completes the analogy: 8 is to 28 as 13 is to ?

   A78B65C52D91

   Correct answerExplanation (with Test Prep)
7. Q7

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8. Q8

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9. Q9

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10. Q10Critical Reasoning › Statements & InferencesEasy

    Rangan, a blacksmith from the Kota tribe in Puddu Kotagiri, Nilgiris, Tamil Nadu, continues a generations-long family trade. However, with tea plantations expanding, and replacing millet fields, the demand for blacksmiths has declined. From 1971-2008, tea cultivation in the Nilgiris tripled, leading to reduced need for their products.

    What is the MOST LIKELY reason for this relationship between tea cultivation and the work of blacksmiths?

    AA mass migration of people to the Nilgiris resulted in people choosing tea cultivation as their source of income since it was not as laborious as ironwork.BTea cultivation does not require iron tools such as ploughs or rakes which were essential for the cultivation of millet, hence reducing the demand for iron tools.CThe lands over which tea cultivation is spreading were previously lands that belonged to blacksmiths, and the loss of this land meant that they had no place to work.DThe soil conditions and fertiliser products required for tea cultivation caused iron tools to rust faster and get damaged more easily, hence making iron tools harder to maintain

    Correct answerExplanation (with Test Prep)
11. Q11

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

12. Q12Critical Reasoning › Assessing EvidenceMedium

    Karl Marx introduced the concept of base and superstructure as two aspects of society, where "base" refers to production forces, or the materials and resources needed for survival, while "superstructure" refers to cultural and ideological forces and rules that govern society.

    Using this idea, Bernard Cohn has argued that the British conquest of India was a "superstructural conquest". What sources of evidence from the colonial period is he MOST LIKELY to have used in making his case?

    Atrade records between India and BritainBrecords of factories set up in rural parts of IndiaCa repository of linguistic changes amongst factory workersDdatasets of local agricultural produce before and after colonialism

    Correct answerExplanation (with Test Prep)
13. Q13Number System › Number PropertiesHard

    In a campus coding club, a student writes the addition $(253)_b + (46)_b = (332)_b$. What is the value of the base $b$?

    A$7$B$8$C$9$D$10$

    Correct answerExplanation (with Test Prep)
14. Q14

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

15. Q15Number System › FactorisationEasy

    The number $720$ is written as a product of prime factors. How many positive factors does $720$ have?

    A$24$B$30$C$32$D$7$

    Correct answerExplanation (with Test Prep)
16. Q16Critical Reasoning › Argument StructureEasy

    "In his accounts of folk religion, Siddalingaiah sought to demystify local religious practices. In the past, it was common to see gold coins falling out of Lakshmi's hands. In recent times, rupee notes have taken the place of the gold coins. If the coins and rupees are phased out of the economy, he writes, there can be no doubt that cheque books will fall out of the Goddess' hands."

    What is the point Siddalingaiah is trying to make through the above example?

    ASociety and economy follow divine design and these changes are guided by local deities.BBelieving in Gods is a foolhardy affair and only those blinded by faith believe in miracles.CDeities are human inventions and are seen changing over time to reflect earthly life and customs.DFolk religion differs from mainstream cultural practices; thus it is easily refuted through logical reasoning.

    Correct answerExplanation (with Test Prep)
17. Q17Logical Reasoning › Spatial ReasoningMedium

    A square sheet is folded once from left to right along its vertical middle line, and then once from bottom to top along its horizontal middle line. A single small hole is punched near the top-left corner of the folded packet, just beside the vertical fold and away from the horizontal fold. When the sheet is fully opened, what pattern will appear?

    AOne hole near the top-right corner onlyBTwo holes near the top-right and bottom-right cornersCFour holes near all four cornersDFour holes along the vertical middle line

    Correct answerExplanation (with Test Prep)
18. Q18–Q19

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

19. Q20Logical Reasoning › Blood RelationsMedium

    In a family, Z says: “R is the sibling of my mother. R is the child of T. T is married to S. S has exactly two children, R and M. M is the parent of K.” If K and Z are children of the same parent, what can definitely be said about K’s relation to Z?

    AK is Z’s brotherBK is Z’s sisterCK is Z’s cousinDK is Z’s sibling, but K’s gender cannot be determined

    Correct answerExplanation (with Test Prep)