Ashoka Aptitude Assessment · Paper 7

Logical, Quantitative & Critical Reasoning

1. Q1Logical Reasoning › Spatial ReasoningEasy

   Which of these looks exactly the same after a clockwise or anticlockwise 180° turn?

   AMOMBDEEDCNOONDSEXES

   Correct answerExplanation (with Test Prep)
2. Q2Modern Math › ProbabilityEasy

   A spinner has eight equal sections numbered 1 to 8. Riya spins it twice. What is the probability that the two numbers she gets add up to 9?

   A$\frac{1}{16}$B$\frac{7}{64}$C$\frac{1}{9}$D$\frac{1}{8}$

   Correct answerExplanation (with Test Prep)
3. Q3Critical Reasoning › Statement & AssumptionEasy

   The city council says: "Doubling the parking fee in the old market area will reduce traffic congestion there."

   Which of the following is an assumption the council is making?

   ASome drivers will choose not to drive into the market area, or to park elsewhere, if the parking fee is higher.BEvery driver in the city can easily afford the higher parking fee.CThe old market area has more shops than any other part of the city.DThe parking fee in the old market area has never been raised before.

   Correct answerExplanation (with Test Prep)
4. Q4Arithmetic › Profit & LossMedium

   A glass of juice costs Rs 30 to make. The juice seller replaces a fifth of the glass of juice with water and sells it for Rs 40.

   If the cost of water used per glass is negligible, what is the approximate profit made by her on each glass?

   A75%B67%C53%D33%

   Correct answerExplanation (with Test Prep)
5. Q5Critical Reasoning › Statements & InferencesEasy

   Given below is an excerpt from summary of a book taken from the goodreads website.

   "In The Hidden Life of Trees, Peter Wohlleben shares his deep love of woods and forests and explains the amazing processes of life, death, and regeneration he has observed in the woodland. Much like human families, tree parents live together with their children, communicate with them, and support them as they grow, sharing nutrients with those who are sick or struggling and creating an ecosystem that mitigates the impact of extremes of heat and cold for the whole group. As a result of such interactions, trees in a family or community are protected and can live to be very old."

   Which of the following is a LOGICAL EXTENSION of the above argument?

   ATrees communicate with each other using human vocabulary and language.BTrees in forests suffer from social problems such as racism, casteism and political warfare.CTrees that receive love from humans and other animals live to be just as old as trees that are nourished by other trees.DSolitary trees, like kids who grow up without a community, have a tough time and in most cases die much earlier than those in a group.

   Correct answerExplanation (with Test Prep)
6. Q6Logical Reasoning › Coding-DecodingEasy

   In a code, each word is first written backwards, and then every vowel in it is replaced by the next vowel in the order A, E, I, O, U (A becomes E, E becomes I, I becomes O, O becomes U and U becomes A). Consonants stay as they are. For example, MANGO is written as UGNEM.

   How is PLANET written in this code?

   ATINELPBTENALPCPLENITDTONILP

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

   Mina's bakery sells 3 kinds of biscuits:

   • Peanut butter biscuits

   • Almond biscuits

   • Sesame biscuits

   A customer orders an assorted gift box from Mina's bakery with the following specification: The gift box must contain exactly 5 biscuits that don't contain peanuts, exactly 8 biscuits that don't contain almonds, and exactly 7 biscuits that don't contain sesame.

   How many peanut butter biscuits were there in the gift box Mina sent to the customer?

   A1B5C7D10

   Correct answerExplanation (with Test Prep)
8. Q8Critical Reasoning › Argument StructureEasy

   Access to the internet directly determines academic success, which is evident in the superior performance of students with reliable internet connections. Therefore, any policy aiming to boost student performance should prioritize universal and uninterrupted internet access.

   Above is an argument given by a policymaker. Which of the following criticisms best explains the flaw in the argument?

   Ait ignores the history of academic education that has produced high-performing students without help from the internetBit is discriminatory towards those who don't have access to the internet and its implementation might create a social divideCit undermines the role of the teacher and advocates for replacing teachers with internet education, causing the loss of jobs everywhereDit does not account for the fact that those who can afford internet access also enjoy other socio-economic privileges with regards to education

   Correct answerExplanation (with Test Prep)
9. Q9Arithmetic › Time, Speed & DistanceMedium

   Soma and Karan start from the same point and run in opposite directions of a circular track. The track's radius is 14 metres. Soma's speed is 8 m/s and Karan's speed is 6 m/s.

   How many times will they meet when Soma has completed 2 rounds?

   A2B3C4D6

   Correct answerExplanation (with Test Prep)
10. Q10Number System › RemaindersMedium

    When the books in a box are counted in 4s, in 5s or in 6s, there are always 3 left over. When they are counted in 7s, none are left over. The box holds between 100 and 500 books.

    Which of the following could be the number of books in the box?

    A203B343C363D483

    Correct answerExplanation (with Test Prep)
11. Q11Algebra › Progression & SeriesMedium

    A pattern made using identical square tiles is given below.

    The tiles are tilted onto their corners and packed edge to edge. Figure 1 is a single tile. Figure 2 is an X of 5 tiles, in rows of 2, 1 and 2. Figure 3 has rows of 3, 2, 3, 2 and 3 tiles (13 tiles). Figures 4 and 5 are larger diamonds of the same kind, with 25 and 41 tiles: in each figure, rows of $n$ tiles alternate with rows of $n - 1$ tiles.

    What is the number of tiles required to make the 21st figure in the pattern?

    A441B661C841D925

    Correct answerExplanation (with Test Prep)
12. Q12Critical Reasoning › Statements & InferencesEasy

    Before mobile phones reached the fishing villages of Kerala in the late 1990s, a fisherman had to choose a market while still at sea, without knowing how much fish other boats had already brought there. On some days a market was flooded with fish and prices crashed, so part of the catch went unsold, while a market a few kilometres away had too little fish and high prices. Once fishermen could call markets from their boats, they began to steer towards the markets where buyers were waiting.

    Which of the following is MOST LIKELY to have followed from this change?

    AFish prices across neighbouring markets became more similar to one another.BFishermen stopped going out to sea on days when prices were low.CThe number of fishing boats in Kerala doubled within a few years.DFish markets close to the shore shut down because buyers moved inland.

    Correct answerExplanation (with Test Prep)
13. Q13Data Interpretation › CaseletsMedium

    At the start of a week, a college library has 1,200 books on its shelves and none out on loan. On Monday, 15% of these books are issued. On Tuesday, 40 of the issued books are returned and another 100 books are issued. On Wednesday, one third of all the books then out on loan are returned. No other books are issued or returned.

    How many books are on the shelves at the end of Wednesday?

    A960B1,000C1,020D1,040

    Correct answerExplanation (with Test Prep)
14. Q14Critical Reasoning › Assessing EvidenceMedium

    The village of Sautada is on the banks of Vincharna river in Maharashtra. The river splits Sautada into two, cutting off a portion of the village from the main part. In the absence of a bridge, people from Shinde Wasti, the isolated part of Sautada, cross the river to access everything from shops and hospitals to farmlands, on shaky makeshift rafts pulled along a rope, from which people often fall into the river.

    Which of the following facts about Shinde Wasti, would, if true, make the situation particularly dangerous for women?

    AShinde Wasti severely lags behind in vaccinations, healthcare and preventive medicine.BMarriage prospects for young men are low because people fear losing their daughters to Shinde Wasti's inaccessibility.CPeople are accustomed to traditional clothes, such as sarees, which restricts their physical movement to different extents.DWomen are entrusted with making sure that household items are always stocked up, while men are concerned with finding work.

    Correct answerExplanation (with Test Prep)
15. Q15Critical Reasoning › Statement & ConclusionMedium

    Lazarus Geiger was a philologist who conducted an analysis of when colour terms entered the vocabulary in various languages. He found that across languages and cultures, the order remained constant: black and white; red always came first, then yellow, green and finally blue. Because of this, most ancient texts do not mention the colour blue at all. One explanation offered for this is that naturally occurring blue dyes are rare, and it is the colour we are least exposed to or work with.

    Glossary -

    philologist: someone who studies the history of languages by looking closely at literature

    What would be the conclusion of the above passage?

    AThe act of naming a colour is what enables us to see or notice the colour.BOur ability to see a colour is what allows us to come up with a name for it.CWe don't need the word for a colour until we have use for the name of that colour.DWe have the ability to create new colours simply by naming them as a separate category.

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

    An ecologist claims that wide belts of mangrove forest along a coast protect the villages behind them from the worst damage of cyclones.

    Which of the following, if true, would NOT support the ecologist's claim?

    AThe villages behind mangrove belts are mostly built on higher ground, farther from the sea than the other villages.BAfter a severe cyclone, villages behind wide mangrove belts reported fewer deaths than villages on a similar stretch of coast with no mangroves.CThe dense roots of mangroves slow down the water of a storm surge as it moves inland.DVillages where mangroves were cleared for shrimp farms suffered more flooding in later cyclones than before.

    Correct answerExplanation (with Test Prep)
17. Q17Arithmetic › Mixture & AlligationEasy

    A painter has 12 litres of a paint mix that is 40% white paint and 60% blue paint. How many litres of pure white paint must she add so that the mix becomes 60% white?

    A6B8C9D12

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

    Given below are two statements followed by three conclusions.

    Statement I: All violinists in the college orchestra can read music.

    Statement II: Some members of the college orchestra who can read music are first-year students.

    Conclusion (i): Some violinists in the orchestra are first-year students.

    Conclusion (ii): Some first-year students in the orchestra can read music.

    Conclusion (iii): No first-year student in the orchestra is a violinist.

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

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

    Correct answerExplanation (with Test Prep)
19. Q19Critical Reasoning › Argument StructureHard

    While emotional appeals can be effective, they do not form valid arguments. Given below are four arguments for veganism: assuming the facts here all true, identify the argument that uses an appeal to emotion rather than logic.

    (Veganism - The practice of not eating or using any animal products, including meat, milk, leather, wool, etc.)

    ARaising livestock for consumption is the greatest cause for global warming and increased amounts of methane in the environment. If the world went vegan, it would essentially slow down climate change.BThe amount of water used to raise livestock that produces a few litres of milk would be enough to grow crops that could feed a lot of people: by eating meat, you are ensuring somebody else's hunger.CIt is proven that animals feel pain, and there is an unacknowledged guilt while consuming them which, doctors have found, has an effect on one's nervous system.DVegan food habits help reduce animal exploitation for meat, exemplifying the theory that all sentient beings have a right to life and freedom.

    Correct answerExplanation (with Test Prep)
20. Q20Logical Reasoning › PuzzlesMedium

    In the multiplication problem shown below, each letter represents a unique digit.

    $\begin{array}{r} \mathrm{2P} \\ \times\ \mathrm{P6} \\ \hline \mathrm{QPP} \\ \mathrm{R60} \\ \hline \mathrm{QQSP} \end{array}$

    Which of these is equal to R?

    A$P + P$B$P \times P$C$2 \times P + Q$D$2 \times P + S$

    Correct answerExplanation (with Test Prep)