List of top Questions asked in XAT

A battle commander arranged his soldiers in three concentric circles. The inner radius is 70 m and the outer radius is 140 m. If the distance between any two adjacent soldiers on each circle is 1 m, how many total soldiers are required?
An archer is standing at a point A. His target is the top of a tree which is 56 m high and its base is at point C. The angle of elevation of the top of the tree is initially \(45^\circ\). The archer then moves backwards along the line AC so that the angle of elevation becomes \(30^\circ\). If the height of the archer is 6 m, find the distance moved by the archer.

A shopkeeper marks his goods 40% above cost price and offers a discount of 20%. What is his overall profit percentage?

If \(x + \frac{1}{x} = 3\), then the value of \(x^3 + \frac{1}{x^3}\) is:
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. What is the original speed?
The value of \(\displaystyle \int_0^1 x(1-x)^5\,dx\) is:
In a class of 50 students, 30 play football, 25 play cricket, and 10 play both. How many play neither?
The number of solutions to the equation \(|x-1|+|x-3|=4\) is:
If \( \log_{10}(x+1) + \log_{10}(x-1) = 1 \), then \( x = \)
A sum of Rs. 8000 amounts to Rs. 10000 in 2 years at simple interest. What is the rate of interest?
The equation of the tangent to the parabola \(y^2=8x\) at point \((2,4)\) is:
In how many ways can 5 identical red balls and 3 identical blue balls be arranged in a row?
If \( A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \), then the determinant of \( A^2 \) is:
A year selected at random has 365 days. The probability that it has 53 Sundays is:
If \(\sin\theta+\cos\theta=\sqrt{2}\), then \(\tan\theta+\cot\theta\) equals:
A bag contains 4 red and 6 black balls. Two balls are drawn without replacement. The probability that both are red is:
The area bounded by \(y=x^2\) and \(y=2x\) from \(x=0\) to \(x=2\) is:
Which shipyard built INS Tushil, a stealth guided missile frigate, commissioned on Dec 9, 2024?
Which company recently acquired MGM Studios to enhance its streaming service content?

Match the following airlines with the countries where they are headquartered.

Airlines Countries
1. AirAsiaA. Singapore
2. AZALB. South Korea
3. Jeju AirC. Azerbaijan
4. IndigoD. India
5. TigerairE. Malaysia
Who was awarded the Nobel Peace Prize in 2024?
As of December 31, 2024, which of the following countries is not a NATO member?
Who won the SVERIGES RIKSBANK PRIZE in ECONOMIC Sciences in memory of Alfred Nobel 2024 for studies of how institutions are formed and affect prosperity?
Who holds the position of Supreme Commander-in-chief of India’s armed forces?
In which country is Mount Marapi Volcano, which recently erupted, located?