List of top Questions asked in XAT- 2024

Implementing more stringent regulations on social media platforms is crucial to effectively combat the proliferation of fake news. (Maximum 250 words)

Consider a right-angled triangle ABC, right angled at B. Two circles, each of radius r, are drawn inside the triangle in such a way that one of them touches AB and BC, while the other one touches AC and BC. The two circles also touch each other (see the image below).
If AB = 18 cm and BC = 24 cm, then find the value of r.

Read the following paragraph and answer the question that follows.
Fear is the greatest motivator of all time. Conflict born of fear is behind our every action, driving us forward like the cogs of a clock. Fear is desire’s dark dress, its doppelgänger. “Love and dread are brothers,” says Julian of Norwich. As desire is wanting and fear is not-wanting, they become inexorably linked; just as desire can be destructive (the desire for power), fear can be constructive (fear of hurting another); fear of poverty becomes desire for wealth. 
Which of the following statements can be BEST concluded from the paragraph?

Read the following paragraphs and answer the question that follows.
Paragraph 1: Here are some handy rules of thumb. Anyone who calls themselves a thought leader is to be avoided. A man who does not wear socks cannot be trusted. And a company that holds an employee-appreciation day does not appreciate its employees. 
Paragraph 2: It is not just that the message sent by acknowledging staff for one out of 260-odd working days is a bit of a giveaway (there isn’t a love-your-spouse day ... for the same reason). It is also that the ideas are usually so tragically unappreciative. You have worked hard all year so you get a slice of cold pizza or a rock stamped with the words “You rock”? 
Which of the following BEST describes the relationship of the first paragraph with the second paragraph?

Read the following sentences carefully.
A. Everybody accepts his responsibilities. 
B. Nobody in that group have their reports up to date, as they should have. 
C. Either of the boys is acceptable to do the errands. 
D. Both of the mice is underfed. E. It is I who am next. 
F. The teacher told he and I to leave early. 
Which of the following combinations has all the sentences grammatically CORRECT?

FS food stall sells only chicken biryani. If FS fixes a selling price of Rs. 160 per plate, 300 plates of biriyani are sold. For each increase in the selling price by Rs. 10 per plate, 10 fewer plates are sold. Similarly, for each decrease in the selling price by Rs. 10 per plate, 10 more plates are sold. FS incurs a cost of Rs. 120 per plate of biriyani, and has decided that the selling price will never be less than the cost price. Moreover, due to capacity constraints, more than 400 plates cannot be produced in a day.
If the selling price on any given day is the same for all the plates and can only be a multiple of Rs. 10, then what is the maximum profit that FS can achieve in a day?

A farmer has a triangular plot of land. One side of the plot, henceforth called the base, is 300 feet long and the other two sides are equal. The perpendicular distance, from the corner of the plot, where the two equal sides meet, to the base, is 200 feet.
To counter the adverse effect of climate change, the farmer wants to dig a circular pond. He plans that half of the circular area will be inside the triangular plot and the other half will be outside, which he will purchase at the market rate from his neighbour. The diameter of the circular plot is entirely contained in the base and the circumference of the pond touches the two equal sides of the triangle from inside.
If the market rate per square feet of land is Rs. 1400, how much does the farmer must pay to buy the land from his neighbour for the pond? (Choose the closest option.)

A local restaurant has 16 vegetarian items and 9 non-vegetarian items in their menu. Some items contain gluten, while the rest are gluten-free.
One evening, Rohit and his friends went to the restaurant. They planned to choose two different vegetarian items and three different non-vegetarian items from the entire menu. Later, Bela and her friends also went to the same restaurant: they planned to choose two different vegetarian items and one non-vegetarian item only from the gluten-free options. The number of item combinations that Rohit and his friends could choose from, given their plan, was 12 times the number of item combinations that Bela and her friends could choose from, given their plan.
How many menu items contain gluten?

In a small college, students are allowed to take only one specialization. Traditionally, only two specializations are offered: Science and Arts. Students enrolled to specialize in Science must take Physics and Mathematics subjects, while students enrolled to specialize in Arts must take Economics and Political Science subjects. Students enrolled in Science are not allowed to take either Economics or Political Science, while students enrolled in Arts are not allowed to take either Physics or Mathematics.
Recently, the college has started a third specialization called MatEco that requires students to take Economics and Mathematics. However, MatEco students would not be allowed to take either Physics or Political Science. When the college opens this new specialization for enrolment, it allows students, originally enrolled in Science or Arts, to switch to MatEco.
From among the students originally enrolled in Arts, 20 students switch to MatEco. This makes the number of Science students twice the number of Arts students. After this, from among the students who originally enrolled in Science, 45 students switch to MatEco. This makes the number of Arts students twice the number of Science students.
In total, how many students, from among those originally enrolled in Science or Arts, are now taking Economics?

Consider the system of two linear equations as follows: 3x + 21y + p = 0; and qx + ry – 7 = 0, where p , q, and r are real numbers.
Which of the following statements DEFINITELY CONTRADICTS the fact that the lines represented by the two equations are coinciding?

The cost of running a movie theatre is Rs. 10,000 per day, plus additional Rs. 5000 per show. The theatre has 200 seats. A new movie released on Friday. There were three shows, where the ticket price was Rs. 250 each for the first two shows and Rs. 200 for the late-night show.
For all shows together, total occupancy was 80%. What was the maximum amount of profit possible?

Consider a 4-digit number of the form abbb, i.e., the first digit is a (a > 0) and the last three digits are all b.
Which of the following conditions is both NECESSARY and SUFFICIENT to ensure that the 4- digit number is divisible by a?

Read the following statement carefully.
___________like a fake can be a sign of___________, and clinging too tightly to what feels like one’s authentic self can ________that growth.
Fill in the blanks meaningfully, in the above statement, from the following options

Tech predictions often fail not because of wrong models or a lack of imagination, but due to lack of humility in admitting our uncertainty about the future.( Maximum 250 words )

"Things which matter most must never be at the mercy of things which matter least."( Maximum 250 words)

Read the following passage and answer the question that follows.
That’s how life plays out for all of us. We lose some. Like sportspersons, we too pack our gear and go to work. But unlike them, the gaze of the world is not upon us. Most of us do our business in anonymity, very few of us are emotionally wired to the outcomes of our day jobs. We don’t come back feeling like winners. Or losers. As sports fans we can summon empathy for those who stretch their bodies and minds to the limit in the pursuit of athletic excellence and provide such joys in the process. 
But we will never experience the highs that are their reward. And we will never know the depth of their lows, which are their burden. Still, no one will know better than Rohit and Dravid that its already a new day. There might never be a World Cup win for them. But there are loved ones to go to. Life awaits still. 
Which of the following statements BEST summarizes the above passage?

Read the following paragraph and answer the question that follows.
You may accumulate a vast amount of knowledge but it will be of far less value to you than a much smaller amount if you have not thought it over for yourself; because only through ordering what you know by comparing every truth with every other truth can you take complete possession of your knowledge and get it into your power. 
Based on the above information, which of the following statements MUST be true?

Read the following passage and answer the question that follows.
How do we choose one discovery over any other? The physician Lewis Thomas made a choice. He bluntly asserts: “The greatest of all the accomplishments of 20th-century science has been the discovery of human ignorance.” 
The science writer Timothy Ferris agrees: “Our ignorance, of course, has always been with us, and always will be. What is new is our awareness of it, our awakening to its fathomless dimensions, and it is this, more than anything else, that marks the coming of age of our species.” It is an odd, unsettling thought that the culmination of our greatest century of discovery should be the confirmation of our ignorance. How did such a thing come about? 
Which of the following statements can be BEST concluded from the above passage?

A king has distributed all his rare jewels in three boxes. The first box contains 1/3 of the rare jewels, while the second box contains k/5 of the rare jewels, for some positive integer value of k. The third box contains 66 rare jewels.
How many rare jewels does the king have?

Which of the following years is NOT a leap year?

Which two teams competed in the final match of the Women's Premier League (WPL) 2023, held on March 26, 2023 in Mumbai?

Which city hosted the recently concluded Asian Games 2022 (which happened in 2023)?

Go through the statements below and answer the question that follows.
A. Maybe you have survived major trauma and have a hard time feeling safe. 
B. You’ll probably discover that your fear and struggles make sense on account of what you’ve lived through. 
C. Instead of beating yourself up for reacting in ways you don’t understand, you can develop compassion for yourself and what you’ve been through. 
D. Perhaps you have experienced a sudden death, and you are often anxious about the health of your loved ones. 
E. You may also find out that you have more strength than you knew, the same strength that has sustained you this far…. 
Which of the following combinations is the MOST logically ordered?

Which of the following countries has NOT been invited to join the BRICS in the BRICS’ expansion plan for 2024?

Why has Dr. Akshata Krishnamurthy been in the news recently?