Ashoka Aptitude Assessment · Paper 6

Logical, Quantitative & Critical Reasoning

1. Q1Logical Reasoning › Spatial ReasoningEasy

   Rubik's Cube is a 3D puzzle. In this, each face of the cube is differently coloured, and divided into 9 smaller squares.

   The Rubik's Cube can be scrambled by turning any of the layers formed using the vertical or horizontal partitions.

   The nine squares of the red face are numbered 1 to 9 in reading order: top row 1, 2, 3; middle row 4, 5, 6; bottom row 7, 8, 9.

   Sujit holds the Rubik's cube such that the red face is in front of him. He then scrambles the Rubik's cube by turning exactly one layer (either top, bottom, right or left) in the clockwise or anti-clockwise direction.

   Which of these numbered squares will continue to be right in front of Sujit?

   A1B5C8D(There exists no such piece.)

   Correct answerExplanation (with Test Prep)
2. Q2Algebra › Progression & SeriesEasy

   Syed makes a pattern, as described below, using matchsticks. He wants to make 20 such matchstick figures.

   Fig 1 is a single matchstick. Fig 2 is a triangle. Fig 3 is two triangles sharing one side. Fig 4 is a strip of three triangles, alternately pointing up and down, each sharing a side with the next.

   How many matchsticks would he need to make Fig 20?

   A39B41C57D60

   Correct answerExplanation (with Test Prep)
3. Q3Critical Reasoning › Argument StructureEasy

   A false dilemma is an argument that presents only two options as if they were the only possibilities, when in fact other options exist.

   Which of the following arguments is a false dilemma?

   AMost students who joined the debate club improved their grades, so the club must have improved their grades.BThe new canteen menu was planned by a famous chef, so it must be healthy.CIf we allow one late assignment, soon nobody will submit anything on time.DEither we ban phones in the hostel after 11 p.m., or students will keep failing their morning exams.

   Correct answerExplanation (with Test Prep)
4. Q4Critical Reasoning › Statement & AssumptionEasy

   An NGO working in a village argues: "Most girls here drop out after Class 8 because the nearest secondary school is 9 km away. If we give every girl who finishes Class 8 a bicycle, many more girls will finish Class 10."

   Which of the following is an assumption on which the NGO's argument depends?

   AThe road to the secondary school is safe and usable enough for girls to cycle on it every day.BBoys in the village already have bicycles of their own.CGirls in the village do better in school than boys.DThe secondary school is the best school in the district.

   Correct answerExplanation (with Test Prep)
5. Q5Critical Reasoning › Assessing EvidenceMedium

   Aanchal Malhotra is a historian who writes about personal objects and memories as legitimate and authentic sources of history, particularly of the India-Pakistan partition - this type of history is called oral history. Her books include interviews with people who lived through the partition and its aftermath, as well as those who grew up surrounded by their stories.

   Which of the following would be LEAST LIKELY to feature as a source of oral history in her book?

   (Note: The partition of India in 1947 divided Punjab and Bengal between India and Pakistan. Sindh and Lahore are now in Pakistan, while Jalandhar is in India, and Gujarat borders Pakistan's Sindh province.)

   Athe marriage certificate of two people from Sindh issued in JalandharBa podcast about abducted women living along the Gujarat borderCstate records of farm revenue lost due to mass violence in PunjabDa family heirloom carried from Lahore to Delhi

   Correct answerExplanation (with Test Prep)
6. Q6Arithmetic › Problems on AgeEasy

   Today, Farida is three times as old as her son Imran. In 12 years, she will be twice as old as Imran will be then. How old will Imran be when Farida turns 50?

   A14B22C24D26

   Correct answerExplanation (with Test Prep)
7. Q7Arithmetic › Ratio, Proportion & VariationMedium

   Dark green and light green grass patches need to be put in a football field of dimensions 120 m $\times$ 91 m, as described below. The cost of a dark green grass patch is Rs 2100/m$^2$ and that of a light green grass patch is Rs 2400/m$^2$.

   The field is divided into 13 equal stripes, each running the full 120 m length. The stripes alternate light green and dark green, with light green stripes at both edges: 7 light green stripes and 6 dark green stripes.

   What is the ratio of the cost of putting dark green grass patches to the cost of putting light green grass patches on the field?

   A3:4B4:3C7:8D49:48

   Correct answerExplanation (with Test Prep)
8. Q8Number System › Integral SolutionsMedium

   For a college fest, the organisers buy only badges costing ₹7 each and keychains costing ₹12 each. They spend exactly ₹150 and buy at least one of each. How many different combinations of badges and keychains could they have bought?

   A0B1C2D3

   Correct answerExplanation (with Test Prep)
9. Q9Critical Reasoning › Statements & InferencesEasy

   Shrinkflation is when a company keeps the price of a product the same but quietly reduces how much of the product each pack contains, so that buyers pay more per unit without seeing a price rise.

   Which of the following is an example of shrinkflation?

   AA biscuit brand keeps its packet at ₹30, but the packet now holds 9 biscuits instead of 10.BA soap brand raises its price from ₹40 to ₹45 and makes each bar 10% heavier.CA juice brand launches a new 150 ml pack at a lower price, alongside its usual 200 ml pack.DA chips brand keeps the same packet size and announces a ₹5 price rise because of higher costs.

   Correct answerExplanation (with Test Prep)
10. Q10Logical Reasoning › PuzzlesMedium

    While Alex was in the kitchen, a cat slipped into the house, grabbed a fish from the counter, and darted away. Alex was upset when he discovered what had happened. He asked three neighbors, who had witnessed the cat, to describe it. The neighbors were not eager to help and each made a statement with one truth and one lie. Here's what they said:

    Neighbor 1: “The cat had orange fur and a long tail.”

    Neighbor 2: “The cat had a short tail and wore a collar.”

    Neighbor 3: “The cat had black fur and no collar.”

    Based on these statements, which of the following could be an accurate description of the cat?

    AThe cat had black fur, short tail, and no collar.BThe cat had black fur, long tail, and a collar.CThe cat had orange fur, long tail, and a collar.DThe cat had orange fur, long tail, and no collar.

    Correct answerExplanation (with Test Prep)
11. Q11Arithmetic › PercentagesMedium

    Naira and Mayank took an entrance test for admission to a university. Naira got 40% of the total marks which is 15 more than passing marks. Mayank got 15% of the total marks which is 22.5 less than passing marks.

    What percentage of the total marks will a student need to score to pass the test?

    A45%B30%C25%D22.5%

    Correct answerExplanation (with Test Prep)
12. Q12Critical Reasoning › Statement & ConclusionMedium

    It was during periods of rice shortage, most prominently during World War Two, that the British pushed and popularised wheat, particularly semolina, encouraging South Indians to treat it like rice. Semolina was very affordable and quickly became a kitchen staple all over India. The dish has ultimately been adapted to use rava (wheat semolina), hence the name rava upma.

    Which of the following can be DEFINITELY concluded from the above passage?

    AThe British rule in India was characterized by efforts to change Indian culture.BStudying war periods is crucial to the understanding of the history of Indian cuisine.CThe history of food is closely tied with the economic and production history of a region.DSemolina is superior to rice and occupies a more prominent place in South Indian cuisine.

    Correct answerExplanation (with Test Prep)
13. Q13Critical Reasoning › Assessing EvidenceEasy

    A researcher wants to know whether a new reading app improves the reading speed of Class 6 students. She gives the app to 40 Class 6 students for two months, and at the end their average reading speed has risen by 15%.

    Which further information would be MOST useful in deciding whether the app caused this rise?

    AWhich stories in the app the 40 students read most often.BWhether the 40 students enjoyed using the app.CHow much the app costs compared with printed reading books.DHow much the reading speed of similar Class 6 students who did not use the app changed over the same two months.

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

    Read the passage and answer the question that follows.

    Many cities respond to traffic jams by widening their main roads. For a while, journeys get quicker. But quicker journeys tempt more people to drive, and people who used to travel at quieter hours start driving at peak time too. Within a few years, the extra lanes are as crowded as the old ones were. Widening roads, then, rarely ends congestion for long. So a city that wants lasting relief should spend at least as much on frequent buses and safe cycle lanes as it does on new road space.

    Which of the following best expresses the main conclusion of the passage?

    AQuicker journeys tempt more people to drive.BA city that wants lasting relief from traffic should invest at least as much in buses and cycle lanes as in new road space.CWidening roads rarely ends congestion for long.DTraffic jams in cities are caused mainly by people who travel at peak hours.

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

    Tejas works in a logistics company. One day, he delivered 10 more than half the packages allotted to him in the morning. And after lunch, he delivered 15 more than half the remaining packages. If he completed all his allotted deliveries that day, how many packages did he deliver?

    A70B80C120D(cannot be determined)

    Correct answerExplanation (with Test Prep)
16. Q16Logical Reasoning › Odd One OutMedium

    An ambigram is a word that reads the same when viewed in a mirror (either sideways or upside-down). Dev made a list of ambigrams: WOW, 808, 609, dollop, passed, swims.

    Of these, he says that WOW and 808 have a special property that sets them apart from the other words in the list.

    What is this property likely to be?

    Atheir meaning changes if you read them from back to frontBthey look the same when viewed upside-down in a mirrorCthey make the same word forwards and backwardsDthey are the shortest ambigrams in the given list

    Correct answerExplanation (with Test Prep)
17. Q17Critical Reasoning › Statements & InferencesMedium

    Dokra art is one of the oldest traditional metal casting methods in India. It involves moulding earthen clay into the desired shape and then carving elaborate designs from beeswax or the gum of the sal tree. This is used as a mould for hot molten metal, which is baked and cooled. Finally, the clay is broken to reveal the elaborate metal sculpture within.

    Which of the following climate-change related phenomena endanger the Dokra artists' occupation?

    P: shrinking of forests

    Q: changing soil conditions

    R: reducing bee populations

    AP and Q onlyBQ and R onlyCR and P onlyDall - P, Q and R

    Correct answerExplanation (with Test Prep)
18. Q18Data Interpretation › TablesMedium

    The table below shows the number of visitors (in hundreds) to the four galleries of a science museum over three months.

    Space: July 42, August 36, September 45

    Oceans: July 30, August 33, September 27

    Robots: July 25, August 40, September 35

    Fossils: July 18, August 21, September 24

    Which of the following statements is FALSE?

    AThe four galleries together had more visitors in August than in any other month.BOver the three months together, the Robots gallery had more visitors than the Oceans gallery.CThe number of visitors to the Fossils gallery rose by the same amount each month.DThe Space gallery had 25% more visitors in September than in August.

    Correct answerExplanation (with Test Prep)
19. Q19Arithmetic › Boats & StreamsHard

    Ali and Bahadur share a passion for jet skiing. They frequent West Beach, Central Beach and East Beach on Sundays. A river flows from West Beach to East Beach at 4 km/h. Ali starts from West Beach and Bahadur starts from East Beach; they meet at Central Beach which is the midpoint of the path between the two beaches.

    One Sunday, they decide to push their limits and set off together at full speed. After 15 minutes, Ali realizes he's making better time than anticipated and throttles back, cutting his jet ski's speed in still water by 25%. Despite this reduction, he arrives at Central Beach 10 minutes later, at the same time as Bahadur.

    Given that they are using the same model of jet ski, what is the top speed of the jet ski in still water?

    A72 km/hB76 km/hC80 km/hD84 km/h

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

    Six students, Arav, Bela, Chirag, Diya, Esha and Farhan, sit around a round table for a group discussion, evenly spaced and all facing the centre.

    Arav and Farhan are not neighbours.

    Arav and Bela are not neighbours.

    Bela and Diya are not neighbours.

    Bela and Esha are not neighbours.

    Diya sits immediately to the right of Esha.

    Who sits opposite Arav?

    AChiragBDiyaCBelaDFarhan

    Correct answerExplanation (with Test Prep)