Ashoka Aptitude Assessment · Paper 9

Logical, Quantitative & Critical Reasoning

1. Q1Number System › Number PropertiesEasy

   Kavya's locker code is a three-digit number. Its three digits are all different and add up to 12, the hundreds digit is twice the units digit, and the number is odd. What is the code?

   A291B381C462D633

   Correct answerExplanation (with Test Prep)
2. Q2Critical Reasoning › Statements & InferencesEasy

   A city library began lending board games in 2022. A member may borrow up to two games at a time, for fourteen days. Games returned late are charged ₹10 for each extra day, but members under 12 years old pay no late charges. Since the scheme began, the library says that weekend visits by families have risen.

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

   ASome members borrow books and board games on the same visit.BWeekend visits by families rose because of the board games.CThe library also lends out jigsaw puzzles.DA 10-year-old member who returns a game five days late pays ₹50.

   Correct answerExplanation (with Test Prep)
3. Q3Arithmetic › Ratio, Proportion & VariationEasy

   A boy 5 feet tall has a shadow of 7 feet. At the same time, the shadow of a tree is 28 feet long.

   What is the height of the tree?

   A20 feetB26 feetC35 feetD39.2 feet

   Correct answerExplanation (with Test Prep)
4. Q4Data Interpretation › Line GraphsEasy

   Answer the following question based on the given information.

   The chart of GDP per capita for a country over 2019-2023 is given below:

   GDP per capita (in 1000 USD), read from the line chart: 2019 about 77.5, 2020 about 68, 2021 90, 2022 about 105, 2023 about 99.

   Fill in the blank.

   The GDP per capita in 2022 was nearly ________ % more than in 2019.

   A15%B25%C35%D45%

   Correct answerExplanation (with Test Prep)
5. Q5Logical Reasoning › Coding-DecodingEasy

   Hiding some data is known as encryption. When plain text is encrypted it becomes unreadable and is known as ciphertext. A cipher is an algorithm for performing the encryption. One such cipher is substitution cipher, in which any character of plain text from the given set of characters is substituted by some other character.

   Here is an example of a substitution cipher that uses the digits 0-9, followed by small letters a-p to substitute the capital alphabets.

   AJLSZ = 09bip

   How will the word EXAM be written using this cipher?

   A4n0wB4n0cC5n1wD5n1c

   Correct answerExplanation (with Test Prep)
6. Q6Logical Reasoning › Order & RankingEasy

   Four friends were comparing their heights with each other. Ananya is taller than Bhuvan and Bhuvan is the same height as Cherry. Cherry is shorter than or equal to David.

   Which of the following statements must be true?

   AAnanya is taller than David.BCherry is taller than Ananya.CBhuvan is not taller than David.DBhuvan's height is more than the average of the 4.

   Correct answerExplanation (with Test Prep)
7. Q7Algebra › Linear EquationsEasy

   The owner of a fast-food stall collected 60 notes in denominations of Rs 10 and Rs 50 at the end of the day. If the total amount of money the owner collected is Rs 2440, then how many notes of Rs 10 did he collect?

   A12B14C46D48

   Correct answerExplanation (with Test Prep)
8. Q8Critical Reasoning › Statement & ConclusionEasy

   Researchers compared two primary schools in the same city that were similar in size, in their students' family backgrounds and in their teachers' experience. One school lay under the flight path of a busy airport; the other was in a quiet area. Children in the school under the flight path scored lower on reading tests. A few years later the flight path was moved away, and the gap between the two schools' reading scores narrowed.

   Which of the following conclusions can best be drawn from the passage?

   AAirports should never be built within a city's limits.BThe quieter school had better teachers than the school under the flight path.CNoise has no effect on how well children learn mathematics.DConstant aircraft noise may slow down children's progress in reading.

   Correct answerExplanation (with Test Prep)
9. Q9Arithmetic › Simple & Compound InterestMedium

   Ravi wants to deposit ₹20,000 for 2 years. Bank X pays 10% a year simple interest, and Bank Y pays 9% a year compounded yearly. Which bank pays him more interest over the 2 years, and by how much?

   ABank Y, by ₹238BBank X, by ₹400CBank Y, by ₹162DBank X, by ₹238

   Correct answerExplanation (with Test Prep)
10. Q10Critical Reasoning › SyllogismsMedium

    Given below are two statements followed by three conclusions.

    Statement I: Every work displayed in the gallery's east hall was made before 1900.

    Statement II: Some portraits are displayed in the gallery's east hall.

    Conclusion (i): Some portraits were made before 1900.

    Conclusion (ii): Some works made before 1900 are portraits.

    Conclusion (iii): Every work made before 1900 is displayed in the east hall.

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

    A(i) onlyB(i) and (ii) onlyC(ii) and (iii) onlyDAll of (i), (ii) and (iii)

    Correct answerExplanation (with Test Prep)
11. Q11Critical Reasoning › Assessing EvidenceMedium

    Last year a town closed its main market street to cars on weekends. The traders' association now claims that the closure has increased shopkeepers' weekend sales on that street.

    Which of the following, if true, would MOST strengthen the association's claim?

    AOver the same period, weekend sales at similar shops on nearby streets that stayed open to cars did not change.BMany shopkeepers on the market street opposed the closure when it was first proposed.CThe town held a large food festival on the market street on most weekends last year.DShoppers say the street feels calmer without cars.

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

    Read the summary provided below and answer the question that follows.

    "Sultana's Dream," a 1905 feminist utopian novella by Rokeya Sakhawat Hossain, depicts a world where women are in power and men confined in domestic roles. When protagonist Sultana enquires about the absence of men in public spaces, Sister Sara says, that they are "where they ought to be." The story challenges conventional gender roles and advocates for women's empowerment. Through this gender-flipped society, the novella encourages readers to envision a world without gender discrimination, offering equal opportunities to all.

    What is the MOST LIKELY purpose for Rokeya using the phrase "where they ought to be"?

    ATo imagine a reality where women empower men.BTo express her opinion that men need to be confined to the domestic sphere.CTo express contempt for the ways in which men carry out public office and social responsibilities.DTo highlight the absurdity of the existing societal norms that dictate men's superiority and women's inferiority.

    Correct answerExplanation (with Test Prep)
13. Q13Logical Reasoning › Cubes & DiceMedium

    The same die is shown in two positions.

    Position 1: 1 is on top, 2 faces you and 3 is on the right.

    Position 2: 1 is on top, 3 faces you and 5 is on the right.

    Which number is on the face opposite 2?

    A3B4C5D6

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

    Wikipedia is considered as a largely unreliable site in academic circles. However, in 2023, a small change on every Wikipedia page for birds, showed their taxonomy to be "Clade:Dinosauria", essentially indicating that the birds we see around us are heavily modified and evolved dinosaurs. This tiny change was taken as a huge win by modern paleontologists, who claimed that this addition to the most popular website on the internet publicly reflected a whole new, informed evolutionary line of thinking that is otherwise overlooked.

    Which of the following best describes the main claim of the above passage?

    APublic information websites can play a crucial role in delivering scientific research to us.BUnlike other academics, paleontologists consider Wikipedia to be a credible source.CSharing public information and knowledge is an integral part of scientific research.DWikipedia is not necessarily reliable since it overlooks new scientific discovery.

    Correct answerExplanation (with Test Prep)
15. Q15Critical Reasoning › Statements & InferencesMedium

    Read the following poem by writer Jacinta Kerketta and answer the question that follows.

    They want to drag the trees

    into the mainstream

    But do trees uprooted from their land

    ever become mainstreamed?

    This is why trees are cut down.

    Which of the following issues is the poet addressing through this poem?

    AThe chopping of forest trees and replanting them in gardensBForced eviction of indigenous communities from their homelandCMass urban migration of people to look for jobs and a better standard of livingDThe interference of mainstream media in the politics of forest-dwelling societies.

    Correct answerExplanation (with Test Prep)
16. Q16Critical Reasoning › Assessing EvidenceMedium

    An average is a middle value, or something that mostly represents a group of things. Suppose you have a sample of a group whose average behaviour you would like to study.

    Which of the following kinds of samples would give you the closest results for the average behaviour of the large group?

    AA carefully selected small sampleBA randomly selected small sampleCA randomly selected sample, as large as you can getDA sample of exactly half the group

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

    In the $3 \times 3$ magic square, the sum of every row, column and diagonal is the same.

    Nine playing cards from a suit of hearts, 2 of hearts to 10 of hearts, are arranged to form a magic square as described below.

    Top row: face-down card P, face-down card Q, 7 of hearts.

    Middle row: a face-down card, face-down card R, a face-down card.

    Bottom row: 5 of hearts, 10 of hearts, face-down card S.

    On flipping which card will 2 of hearts be found?

    APBQCRDS

    Correct answerExplanation (with Test Prep)
18. Q18Critical Reasoning › Statement & AssumptionMedium

    A historian studying the account books of merchants in a medieval town finds that women traders are almost never named in them. She concludes that women rarely took part in trade in that town.

    Which of the following is an assumption on which her conclusion depends?

    AMost of the merchants who kept account books were men.BWomen who traded often appeared in the account books under their husbands' names.CWomen in the town worked more often as weavers and potters than as traders.DIf many women had traded in the town, the account books would have recorded them.

    Correct answerExplanation (with Test Prep)
19. Q19Arithmetic › Time & WorkMedium

    Two drones, X and Y, are used to inspect all the solar panels on a large rooftop. Together, they can complete the inspection in 3 hours. Drone X is twice as fast as Drone Y.

    If two drones with the same speed as Drone X were used, what would be the minimum time required to complete the inspection?

    A1 hourB2 hoursC2 hours 15 minutesD2 hours 25 minutes

    Correct answerExplanation (with Test Prep)
20. Q20Arithmetic › Mean, Median & ModeHard

    Five whole numbers have a mean of 10 and a median of 9, and 7 is their only mode. What is the largest possible value of the greatest of the five numbers?

    A17B18C19D20

    Correct answerExplanation (with Test Prep)