# XAT 2022 Question Paper | XAT QADI

###### XAT Quantitative Aptitude & Data Interpretation| XAT 2022 Question Paper

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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

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

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

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

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

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

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

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

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

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.

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

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

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

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

14. #### 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

15. #### 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

16. #### 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

17. #### 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

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

19. #### 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

20. #### 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.

21. #### 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.

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

23. #### 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

24. #### 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

25. #### 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

26. #### XAT 2022 Question Paper - QADI

Consider the real-valued function .

Find the domain of f(x).

27. #### 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
5. 60

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

29. #### 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

30. #### 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

31. #### 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

32. #### 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

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