List of top Questions asked in Xavier Aptitude Test- 2022

From the following options, choose the one which arranges the given Queens’ ascension to the throne in a chronological order.

Which of the following spacecrafts by the NASA entered the Sun’s upper atmosphere – the Corona?

Identify the XLRI alumnus, who has recently been appointed as the Deputy National Security Advisor?

Match the animals listed below with the most common collective noun used to represent a group of them (e.g. wolves – Pack)

Animals		Collective Nouns
P	Eagles	I	Tower
Q	Apes	II	Quiver
R	Giraffes	III	Kaleidoscope
S	Butterflies	IV	Shrewdness
T	Cobras	V	Convocation

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?

Consider the real-valued function \(f(x) = \log \left( \frac{3x - 7}{\sqrt{2x \times 2x}} \right) - 7x + f\). Find the domain of f(x).

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?

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?

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?

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 a. She also finds their ratio, A:B, to be: c.14161416141f... (repeating endlessly). What is A – B ?

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:

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?

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

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?

Wilma, Xavier, Yaska and Zakir are four young friends, who have a passion for integers. One day, each of them selects one inWilma, 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:
W⁴ + X³ + Y² + Z\(≤\) 4, 
X³ + Z \(≥\) 2, 
W⁴ + Y² \(≤\) 2, 
Y² + Z \(≥\) 3 
Given the above, which of these can W² + X² + Y² + Z² possibly evaluate to?

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?

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 \(\frac{a_1 - a_2}{b_1 - b_2}\)possibly take?

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’?

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?

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?

Arrange the following sentences in a LOGICAL sequence:
1. But when it comes to companies that lack computer programmers, the government is far more sympathetic. 
2. As a result, limited access to foreign talent is a common gripe of tech founders and venture capitalists. 
3. And, demand for the latter has soared among British startups. 
4. This is less inconsistent than it may seem. 
5. An HGV driver takes between six and ten weeks to train; a competent coder several years.

Which of the following sentences have INCORRECT usage of preposition? 1. The manager was sitting at the desk. 2. My work is superior to yours. 3. I prefer coffee than tea. 4. She was accused for stealing gold. 5. This is an exception to the rule. 6. They are leaving to England soon.

The moment we no longer have a free press, anything can happen. What makes it _____ for a totalitarian or any other dictatorship to rule is that _____ are not informed; how can you have an opinion if you are not informed? If everybody always lies to you, the ________ is not that you believe the lies, but rather that nobody believes anything any longer. This is because lies, by their very nature, have to be changed, and a lying government has ________ to rewrite its own history. Which of the following options will BEST fill up the above blanks meaningfully?

Read the poem carefully and answer the following question. 
I smiled at you because I thought that you 
Were someone else; you smiled back; and there grew 
Between two strangers in a library |
Something that seems like love; but you loved me 
(If that’s the word) because you thought that I 
Was other than I was. And by and by 
We found we’d been mistaken all the while 
From that first glance, that first mistaken smile
Which of the following CANNOT be inferred from the poem?

The over-whelming preponderance of people have not freely decided what to believe, but, rather, have been socially conditioned (indoctrinated) into their beliefs. They are unreflective thinkers.
Which of the following statements CANNOT be concluded from the excerpt?