XAT 2026 Paper Solution | XAT 2026 Quant Questions | XAT 2026 Answer Keys | Response keys

Описание: In this video, we provide a detailed solution of the XAT 2026 question paper with clear explanations and smart shortcuts wherever applicable.
All questions are solved step by step to help you understand the *logic, approach, and time-saving methods* used in the exam.

In a business school, only three specializations are offered: marketing, finance, andoperations. A student can opt for either one, or two, or no specializations. In thecurrent batch of 120 students, 60 are specializing in marketing, 50 are specializing in finance and 30 are specializing in operations. During the placement process, all
students specializing either in marketing or in finance are shortlisted for consulting job
interviews.

Two buses travel between Jamshedpur and Kolkata in the opposite directions, on the
same road. On that road, the maximum allowed speeds are different (but constant) for the opposite directions. Usually, both buses travel at the respective maximum allowed speeds to their respective destinations: the bus from Jamshedpur to Kolkata takes 4 hours, while the bus from Kolkata to Jamshedpur takes 3 hours.
One day, the two buses start at the same time. However, one hour after starting, the bus from Jamshedpur to Kolkata reduces its speed to half of its maximum allowed speed
due to congestion on the road.
If both buses do not stop anywhere in between, how many hours after starting do they meet?

Brijbhushan, a microfinancier, lends money at the rate of Rs.10 per square meter to
small farmers at a village. He charges an annual interest rate of 10%. All the farming
plots in that village are rectangular, with areas varying between a minimum of 1000
square meters and a maximum of 10,000 square meters.This year, Brijbhushan has lent money only to five farmers: Aditya, Binod, Chhuttan, Dabloo and Govind. The perimeter of Chhuttan’s plot is 250 meters, with the length and width being at a ratio of 4:1. Aditya’s plot has an area three times the area of Govind’s plot. The area of Aditya’s plot is also the average of the areas of Govind’s plot
and Dabloo’s plot. The plots belonging to Aditya, Binod and Dabloo are of the same
width, but of different lengths. Moreover, the length of Binod’s plot is the sum of the
lengths of Aditya’s plot and Dabloo’s plot.
What is the interest owed by Chhuttan to Brijbhushan at the end of the year?

Let a1 a2 · · · an be the list of all prime numbers less than 25. Define Xi =bi/ai
,
where bi is the sum of all ak where k ranges from 1 to n, k ̸= i. Let B be the set of all
integer-valued Xi
.
What is the SMALLEST element of B?

A triangular plot is such that two of its sides, of lengths 90m (meter) and 60m, are
perpendicular to each other. There is a housing complex in a rectangular region withinthe plot. The area of the rectangular region is 4/9th of the area of the triangular plot. Additionally, two sides of the rectangular region lie on the two perpendicular sides of
the triangle, and one vertex is on the hypotenuse. The members of the housing complex want to construct a wall along the perimeter of the rectangular region.
If the cost of construction is Rs. 5000/m, what is the MINIMUM possible cost of
building the wall?



This session is useful for:

XAT 2026 aspirants checking their performance
Future XAT aspirants understanding question patterns
CAT / SNAP / NMAT aspirants learning high-level decision-making & quant concepts

Topics covered include:

Quantitative Ability
Decision Making
Verbal Ability & Logical Reasoning
Explanation of tricky and confusing questions

This analysis will help you:

Estimate your probable score
Identify strong and weak areas
Learn how to approach XAT-level questions efficiently

Watch till the end for exam insights and preparation tips based on XAT 2026 paper