XAT 2022 Question Paper | XAT QADI

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1. XAT 2022 Question Paper - QADI

   Sheela purchases two varieties of apples - A and B - for a total of Rupees 2800. The weights in kg of A and B purchased by Sheela are in the ratio 5 : 8 but the cost per kg of A is 20% more than that of B. Sheela sells A and B with profits of 15% and 10% respectively.
   
   What is the overall profit in Rupees?

   1. 380
   2. 240
   3. 480
   4. 340
   5. 600

   Correct AnswerChoice D
   340

   Video Solution Explanation

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2. XAT 2022 Question Paper - QADI

   A supplier receives orders from 5 different buyers. Each buyer places their order only on a Monday. The first buyer places the order after every 2 weeks, the second buyer, after every 6 weeks, the third buyer, after every 8 weeks, the fourth buyer, every 4 weeks, and the fifth buyer, after every 3 weeks. It is known that on January 1st, which was a Monday, each of these five buyers placed an order with the supplier.
   
   On how many occasions, in the same year, will these buyers place their orders together excluding the order placed on January 1st?

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

   Correct AnswerChoice D
   2

   Video Solution Explanation

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3. XAT 2022 Question Paper - QADI

   The sum of the cubes of two numbers is 128, while the sum of the reciprocals of their cubes is 2.
   
   What is the product of the squares of the numbers?

   1. 48
   2. 256
   3. 32
   4. 16
   5. 64

   Correct AnswerChoice D
   16

   Video Solution Explanation

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4. XAT 2022 Question Paper - QADI

   Some members of a social service organization in Kolkata decide to prepare 2400 laddoos to gift to children in various orphanages and slums in the city, during Durga Puja. The plan is that each of them makes the same number of laddoos. However, on laddoo-making day, ten members are absent, thus each remaining member makes 12 laddoos more than earlier decided.
   
   How many members actually make the laddoos?

   1. 90
   2. 50
   3. 24
   4. 100
   5. 40

   Correct AnswerChoice E
   40

   Video Solution Explanation

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5. XAT 2022 Question Paper - QADI

   Ramesh and Reena are playing with triangle ABC. Ramesh draws a line that bisects ∠BAC; this line cuts BC at D. Reena then extends AD to a point P. In response, Ramesh joins B and P. Reena then announces that BD bisects ∠PBA, what a surprise! Together, Ramesh and Reena find that BD= 6 cm, AC= 9 cm, DC= 5 cm, BP= 8 cm, and DP = 5 cm.
   
   How long is AP?

   1. 11.5 cm
   2. 11.75 cm
   3. 10.5 cm
   4. 11 cm
   5. 10.75 cm

   Correct AnswerChoice B
   11.75

   Video Solution Explanation

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6. XAT 2022 Question Paper - QADI

   A marble is dropped from a height of 3 metres onto the ground. After the hitting the ground, it bounces and reaches 80% of the height from which it was dropped. This repeats multiple times. Each time it bounces, the marble reaches 80% of the height previously reached. Eventually, the marble comes to rest on the ground.
   
   What is the maximum distance that the marble travels from the time it was dropped until it comes to rest?

   1. 15 m
   2. 12 m
   3. 27 m
   4. 30 m
   5. 24 m

   Correct AnswerChoice C
   27 m

   Video Solution Explanation

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7. XAT 2022 Question Paper - QADI

   Fatima found that the profit earned by the Bala dosa stall today is a three-digit number. She also noticed that the middle digit is half of the leftmost digit, while the rightmost digit is three times the middle digit. She then randomly interchanged the digits and obtained a different number. This number was more than the original number by 198.
   
   What was the middle digit of the profit amount?

   1. 2
   2. 1
   3. 6
   4. This cannot be solved with only the given information
   5. 8

   Correct AnswerChoice A
   2

   Video Solution Explanation

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8. XAT 2022 Question Paper - QADI

   Kim's wristwatch always shows the correct time, including 'am' and 'pm'. Jim's watch is identical to Kim's watch in all aspects except its pace, which is slower than the pace of Kim's watch. At 12 noon on January 1st, Jim sets his watch to the correct time, but an hour later, it shows 12:57 pm. At 12 noon on the next June 1st, Jim resets his watch to the correct time.
   
   On how many instances between, and including 12 noon on the two dates mentioned, do Jim's and Kim's watches show the exact same time, including the 'am' and the 'pm'?

   1. 9
   2. 10
   3. 7
   4. 17
   5. 15

   Correct AnswerChoice A
   9

   Video Solution Explanation

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9. XAT 2022 Question Paper - QADI

   Nadeem's age is a two-digit number X, squaring which yields a three-digit number, whose last digit is Y. Consider the statements below:
   Statement I: Y is a prime number
   Statement II: Y is one-third of X
   
   To determine Nadeem's age uniquely:

   1. even taking I and II together is not sufficient.
   2. either of I and II, by itself, is sufficient.
   3. only I is sufficient, but II is not.
   4. only II is sufficient, but I is not.
   5. it is necessary and sufficient to take I and II together.

   Correct AnswerChoice E
   it is necessary and sufficient to take I and II together

   Video Solution Explanation

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10. XAT 2022 Question Paper - QADI

    Wilma, Xavier, Yaska and Zakir are four young friends, who have a passion for integers. One day, each of them selects one integer and writes it on a wall. The writing on the wall shows that Xavier and Zakir picked positive integers, Yaska picked a negative one, while Wilma's integer is either negative, zero or positive. If their integers are denoted by the first letters of their respective names, the following is true:
    
    
    
    Given the above, which of these can possibly evaluate to?

    1. 0
    2. 9
    3. 6
    4. 4
    5. 1

    Correct AnswerChoice C
    6

    Video Solution Explanation

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11. XAT 2022 Question Paper - QADI

    The Madhura Fruits Company is packing four types of fruits into boxes. There are 126 oranges, 162 apples, 198 guavas and 306 pears. The fruits must be packed in such a way that a given box must have only one type of fruit and must contain the same number of fruit units as any other box.
    
    What is the minimum number of boxes that must be used?

    1. 18
    2. 42
    3. 44
    4. 36
    5. 21

    Correct AnswerChoice C
    44

    Video Solution Explanation

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12. XAT 2022 Question Paper - QADI

    Shireen draws a circle in her courtyard. She then measures the circle's circumference and its diameter with her measuring tape and records them as two integers, A and B respectively. She finds that A and B are coprimes, that is, their greatest common divisor is 1. She also finds their ratio, A:B, to be: 3.141614161416... (repeating endlessly).
    
    What is A - B ?

    1. 21413
    2. 7138
    3. 21417
    4. 15
    5. 21414

    Correct AnswerChoice B
    7138

    Video Solution Explanation

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Read the following scenario and answer the THREE questions that follow.



13. XAT 2022 Question Paper - QADI

    Which of the five universities can Univ 4 possibly be?

    1. Either MPU or PKU
    2. Either TRU or MPU
    3. Only TRU
    4. Only MPU
    5. Only PKU

    Correct AnswerChoice C
    Only TRU

    Explanation

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14. XAT 2022 Question Paper - QADI

    Which Univ's enrolment was around twice that of LTU in 2014?

    1. Only PKU's
    2. Only JSU's
    3. Only MPU's
    4. Either JSU's or MPU's
    5. Either PKU's or TRU's

    Correct AnswerChoice A
    Only PKU's

    Explanation

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15. XAT 2022 Question Paper - QADI

    Which amongst the pieces of information mentioned below, if removed, will not prevent us from uniquely identifying the five universities?

    1. Z
    2. NONE, since all four pieces of information are necessary to uniquely identify the five universities.
    3. Y
    4. X
    5. Either X or Y

    Correct AnswerChoice A
    Z

    Explanation

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16. XAT 2022 Question Paper - QADI

    If both the sequences x, a1, a2, y and x, b1, b2, z are in A.P. and it is given that y > x and z < x, then
    
    which of the following values can {(a1 - a2)/(b1 - b2) } possibly take?

    1. 1
    2. -3
    3. 5
    4. 2
    5. 0

    Correct AnswerChoice B
    -3

    Video Solution Explanation

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Read the following scenario and answer the THREE questions that follow.



17. XAT 2022 Question Paper - QADI

    Which of the following can possibly be the sequence of the number of broken pencils in Boxes 7-16?

    1. 7,7,7,7,11,15,15,19,20,20
    2. 6,7,9, 11,15,19,20,20,20,29
    3. 7,7,9,9,11,13,15,19,20,20
    4. 5,7,7,7,9,11,15,20,20,20
    5. 5,6,6,6,11,15,15,20,20,20

    Correct AnswerChoice A
    7,7,7,7,11,15,15,19,20,20

    Explanation

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18. XAT 2022 Question Paper - QADI

    Which of the following cannot be inferred conclusively from the given information?

    1. Three among the boxes numbered 17 to 20 have 29, 31 and 33 broken pencils in some order.
    2. No box numbered 1-6 has more broken pencils than any box numbered 17-20.
    3. A box with the highest percentage of broken pencils has 100 pencils.
    4. Four among the boxes numbered 7 to 16 have less than 10 broken pencils.
    5. Exactly three boxes have 20% broken pencils.

    Correct AnswerChoice E
    Exactly three boxes have 20% broken pencils.

    Explanation

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19. XAT 2022 Question Paper - QADI

    Suppose that additionally it is known that the number of broken pencils in Boxes 17-20 are in an increasing order. Which among the following additional information, if true, is not sufficient to uniquely know the number of defective pencils in each of the boxes numbered 17-20?

    1. Boxes no. 17-20 contain a total of 108 defective pencils.
    2. Box no. 17 contains more defective pencils than any box from among boxes no. 1-14.
    3. Boxes no. 7-16 contain a total of 133 defective pencils.
    4. Boxes no. 11-16 contain a total of 101 defective pencils.
    5. Boxes no. 7-16 contains a total of 124 defective pencils.

    Correct AnswerChoice A
    Boxes no. 17-20 contain a total of 108 defective pencils.

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Read the following scenario and answer the THREE questions that follow.



20. XAT 2022 Question Paper - QADI

    Which day saw the maximum percentage increase in the stock price at closing from the opening?

    1. Day 10
    2. Day 7
    3. Day 1
    4. Day 2
    5. Day 6

    Correct AnswerChoice C
    Day 1

    Explanation

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21. XAT 2022 Question Paper - QADI

    What is the highest magnitude of change over two consecutive days (for example, Day1 → Day3 or Day5 → Day7), in the maximum price touched by the stock during the 10-day period (choose the closest amongst the options given)?

    1. 80
    2. 70
    3. 50
    4. 40
    5. 60

    Correct AnswerChoice A
    80

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22. XAT 2022 Question Paper - QADI

    On which day is the ratio of the maximum price to the opening price, the highest across the ten days?

    1. Day 3
    2. Day 4
    3. Day 1
    4. Day 9
    5. Day 10

    Correct AnswerChoice E
    Day 10

    Explanation

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23. XAT 2022 Question Paper - QADI

    Consider the real-valued function .
    
    Find the domain of f(x).

    1. 
    2. 
    3. 
    4. 
    5. 

    Correct AnswerChoice C
    

    Video Solution Explanation

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24. XAT 2022 Question Paper - QADI

    A tall tower has its base at point K. Three points A, B and C are located at distances of 4 metres, 8 metres and 16 metres respectively from K. The angles of elevation of the top of the tower from A and C are complementary.
    
    What is the angle of elevation (in degrees) of the tower's top from B?

    1. 45
    2. 15
    3. 30
    4. We need more information to solve this.
    5. 60

    Correct AnswerChoice A
    45

    Video Solution Explanation

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Read the following scenario and answer the THREE questions that follow.



25. XAT 2022 Question Paper - QADI

    What is the correct answer for Q5?

    1. C
    2. Not possible to determine uniquely
    3. D
    4. B
    5. A

    Correct AnswerChoice A
    C

    Explanation

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26. XAT 2022 Question Paper - QADI

    For which of these questions is D the correct answer?

    1. Q8
    2. Q1
    3. Both Q1 and Q8
    4. Q9
    5. Both Q1 and Q9

    Correct AnswerChoice A
    Q8

    Explanation

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27. XAT 2022 Question Paper - QADI

    Which of these questions witnessed the least number of the students answering correctly?

    1. Q2
    2. Q4
    3. Q5
    4. Both Q3 and Q4
    5. Q10

    Correct AnswerChoice B
    Q4

    Explanation

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28. XAT 2022 Question Paper - QADI

    I have five 10-rupee notes, three 20-rupee notes and two 50-rupee notes in my wallet.
    
    If three notes were taken out randomly and simultaneously, what is the probability that at least 90 rupees were taken out?

    1. 1/15
    2. 7/60
    3. 3/20
    4. 11/60
    5. 1/20

    Correct AnswerChoice B
    7/60

    Video Solution Explanation

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