CAT 2024 Question Paper Slot 1 | CAT Quants

CAT 2024 Quant, unlike previous years was not dominated by Arithmetic. Though Arithematic was the most tested topic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

1. CAT 2024 Slot 1 - QA

   A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes and half of the oranges, the ratio of number of unsold apples to number of unsold oranges becomes 3 : 2. The total number of unsold fruits is

   Correct Answer66

   Video Explanation

   Check StatsCorrect: 24.03%
   Incorrect: 33.92%
   Unattempted: 42.04%

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2. CAT 2024 Slot 1 - QA

   

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   Correct AnswerChoice C
   

   Video Explanation

   Check StatsCorrect: 4.06%
   Incorrect: 13.16%
   Unattempted: 82.78%

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3. CAT 2024 Slot 1 - QA

   

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   Correct AnswerChoice B
   

   Video Explanation

   Check StatsCorrect: 14.75%
   Incorrect: 8.26%
   Unattempted: 76.99%

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4. CAT 2024 Slot 1 - QA

   

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   Correct AnswerChoice B
   

   Video Explanation

   Check StatsCorrect: 4.9%
   Incorrect: 4.67%
   Unattempted: 90.43%

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5. CAT 2024 Slot 1 - QA

   Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take 8 days working 5 hours per day to complete the same task. They decide to work together to complete this task. Seema agrees to work for double the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days Seema will work, is

   Correct Answer6

   Video Explanation

   Check StatsCorrect: 26.13%
   Incorrect: 40.64%
   Unattempted: 33.22%

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6. CAT 2024 Slot 1 - QA

   In September, the incomes of Kamal, Amal and Vimal are in the ratio 8 â\x88\xb6 6 â\x88\xb6 5. They rent a house together, and Kamal pays 15%, Amal pays 12% and Vimal pays 18% of their respective incomes to cover the total house rent in that month. In October, the house rent remains unchanged while their incomes increase by 10%, 12% and 15%, respectively. In October, the percentage of their total income that will be paid as house rent, is nearest to

   1. 14.84
   2. 12.75
   3. 13.26
   4. 15.18

   Correct AnswerChoice C
   13.26

   Video Explanation

   Check StatsCorrect: 51.05%
   Incorrect: 13.72%
   Unattempted: 35.23%

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7. CAT 2024 Slot 1 - QA

   

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   Correct AnswerChoice A
   

   Video Explanation

   Check StatsCorrect: 3.69%
   Incorrect: 4.39%
   Unattempted: 91.93%

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8. CAT 2024 Slot 1 - QA

   

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   Correct AnswerChoice A
   

   Video Explanation

   Check StatsCorrect: 2.85%
   Incorrect: 8.12%
   Unattempted: 89.03%

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9. CAT 2024 Slot 1 - QA

   

   Correct Answer31

   Video Explanation

   Check StatsCorrect: 1.96%
   Incorrect: 26.64%
   Unattempted: 71.4%

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10. CAT 2024 Slot 1 - QA

    

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    Correct AnswerChoice D
    

    Video Explanation

    Check StatsCorrect: 38.12%
    Incorrect: 22.82%
    Unattempted: 39.06%

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11. CAT 2024 Slot 1 - QA

    There are four numbers such that average of first two numbers is 1 more than the first number, average of first three numbers is 2 more than average of first two numbers, and average of first four numbers is 3 more than average of first three numbers. Then, the difference between the largest and the smallest numbers, is

    Correct Answer15

    Video Explanation

    Check StatsCorrect: 30.84%
    Incorrect: 33.55%
    Unattempted: 35.6%

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12. CAT 2024 Slot 1 - QA

    An amount of Rs 10000 is deposited in bank A for a certain number of years at a simple interest of 5% per annum. On maturity, the total amount received is deposited in bank B for another 5 years at a simple interest of 6% per annum. If the interests received from bank A and bank B are in the ratio 10 : 13, then the investment period, in years, in bank A is

    1. 4
    2. 3
    3. 6
    4. 5

    Correct AnswerChoice C
    6

    Video Explanation

    Check StatsCorrect: 56.56%
    Incorrect: 12.83%
    Unattempted: 30.61%

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13. CAT 2024 Slot 1 - QA

    A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg of these grains to the first customer. Then, it sells half of the remaining quantity and an additional 3 kg of these grains to the second customer. Finally, when the shop sells half of the remaining quantity and an additional 3 kg of these grains to the third customer, there are no grains left. The initial quantity, in kg, of grains is

    1. 18
    2. 36
    3. 50
    4. 42

    Correct AnswerChoice D
    42

    Video Explanation

    Check StatsCorrect: 53.57%
    Incorrect: 9.47%
    Unattempted: 36.96%

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14. CAT 2024 Slot 1 - QA

    

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    Correct AnswerChoice B
    

    Video Explanation

    Check StatsCorrect: 38.36%
    Incorrect: 5.41%
    Unattempted: 56.23%

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15. CAT 2024 Slot 1 - QA

    Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is

    1. 16
    2. 14
    3. 12
    4. 18

    Correct AnswerChoice C
    12

    Video Explanation

    Check StatsCorrect: 29.63%
    Incorrect: 13.53%
    Unattempted: 56.84%

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16. CAT 2024 Slot 1 - QA

    

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    Correct AnswerChoice B
    

    Video Explanation

    Check StatsCorrect: 4.48%
    Incorrect: 5.04%
    Unattempted: 90.48%

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17. CAT 2024 Slot 1 - QA

    A glass is filled with milk. Two-thirds of its content is poured out and replaced with water. If this process of pouring out two-thirds the content and replacing with water is repeated three more times, then the final ratio of milk to water in the glass, is

    1. 1 : 27
    2. 1 : 81
    3. 1 : 26
    4. 1 : 80

    Correct AnswerChoice D
    1 : 80

    Video Explanation

    Check StatsCorrect: 33.36%
    Incorrect: 38.4%
    Unattempted: 28.23%

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18. CAT 2024 Slot 1 - QA

    

    Correct Answer217

    Video Explanation

    Check StatsCorrect: 12.37%
    Incorrect: 34.34%
    Unattempted: 53.29%

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19. CAT 2024 Slot 1 - QA

    ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of â\x88\x86ADE is

    Correct Answer10

    Video Explanation

    Check StatsCorrect: 27.25%
    Incorrect: 31.22%
    Unattempted: 41.53%

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20. CAT 2024 Slot 1 - QA

    

    Correct Answer38

    Video Explanation

    Check StatsCorrect: 3.64%
    Incorrect: 32.15%
    Unattempted: 64.21%

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21. CAT 2024 Slot 1 - QA

    The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is

    1. 10
    2. 15
    3. 20
    4. 14

    Correct AnswerChoice D
    14

    Video Explanation

    Check StatsCorrect: 54.97%
    Incorrect: 17.55%
    Unattempted: 27.48%

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22. CAT 2024 Slot 1 - QA

    

    Correct Answer31

    Video Explanation

    Check StatsCorrect: 20.11%
    Incorrect: 40.04%
    Unattempted: 39.85%

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