List of top Questions asked in XAT

If you have to travel from AAA and reach HHH at around 9:00 AM, and then further travel to NNN at around 6:00 PM, which is the best combination of trains for you?
Which of the following Indian companies feature in Fortune Five Hundred list for 2012?
Read the statements given below:
1. Exports were more than imports in 2006
2. Imports were more than exports in 2009
3. Exports increased at faster rate than imports during the period 2005 to 2010
Which of the above statements is necessarily true?
What was the approximate number of unemployed persons in 2006?
Which is the fastest train between AAA and NNN?
The radius of a circle with centre \(O\) is \(\sqrt{50}\) cm. \(A\) and \(C\) are two points on the circle, and \(B\) is a point inside the circle. The length of \(AB\) is \(6\) cm, and the length of \(BC\) is \(2\) cm. The angle \(\angle ABC\) is a right angle. Find the square of the distance \(OB\).
Six playing cards are lying face down on a table, two of them are kings. Two cards are drawn at random. Let \(a\) denote the probability that at least one of the cards drawn is a king, and \(b\) denote the probability of not drawing a king. The ratio \(a/b\) is
In the country of Four, there are four cities, A, B, C and D. \(B\) is to the East of \(A\), \(C\) is to the South of \(B\), \(D\) is to the West of \(C\), and \(A\) is to the North of \(D\). The Government plans to connect these four cities by road so that one can go from any city to any other and the total road length is minimum. The distances \(AB,\,BC,\,CD,\,DA\) are all \(10\) km. What should be the total length of the road?
Consider \((xxx)_b = x^3\), where \(b\) is the base, and \(x\) is any digit in base \(b\). Find \(b\).
Consider \(f(x)=x^{4+x^{3}+x^{2}+x+1\), where \(x\) is a positive integer greater than \(1\). What will be the remainder if \(f(x^{5})\) is divided by \(f(x)\)?}
Please read the following sentences carefully:
I — 103 and 7 are the only prime factors of \(1000027\).
II — \(\sqrt[6]{6!} \ge \sqrt[7]{7!}\).
III — If I travel one half of my journey at an average speed of \(x\) km/h, it will be impossible for me to attain an average speed of \(2x\) km/h for the entire journey.
70% of the students who joined XCRI last year play football, 75% play cricket, 80% play basketball and 85% play carrom. The minimum percentage of students who play all four games is:
\(p\) and \(q\) are positive numbers such that \(p^{q}=q^{p}\), and \(q=9p\). The value of \(p\) is
Ram, Shyam and Hari went out for a 100 km journey. Ram and Hari started the journey in Ram's car at the rate of 25 kmph, while Shyam walked at 5 kmph. After sometime, Hari got off and started walking at the rate of 5 kmph and Ram went back to pick up Shyam. All three reached the destination simultaneously. The number of hours required for the trip was:
The central park of the city is 40 metres long and 30 metres wide. The mayor wants to construct two roads of equal width in the park such that the roads intersect each other at right angles and the center of the rectangle coincides with the center of the rectangle formed by the intersection of the two roads. Further, the mayor wants that the area of the two roads to be equal to the remaining area of the park. What should be the width of the roads?
The taxis plying in Wasseypur have the following fare structure: Rs 20 for the first two kilometers, Rs 5 for every km in excess of 2 km and up to 10 km, and Rs 8 for every km in excess of 10 km. Bullock carts on the other hand charge Rs 2 per km. Sardar Khan takes a taxi from the Wasseypur railway station to his home. On the way, at a distance of 14 km from the railway station, he meets Faizal Khan, and gets down from the taxi to talk to him. Later he takes a bullock cart to reach his home. He spends a total of Rs 102 to reach his home from the railway station. How far is his home from the railway station (in kilometers)?
Consider the expression \(\dfrac{(a^2+a+1)(b^2+b+1)(c^2+c+1)(d^2+d+1)(e^2+e+1){abcde}\), where \(a,b,c,d\) and \(e\) are positive numbers. The minimum value of the expression is}
In a square \(PQRS\), \(A\) and \(B\) are two points on \(PS\) and \(SR\) such that \(PA = 2AS\), and \(RB = 2BS\). If \(PQ = 6\), the area of the triangle \(ABQ\) is (in sq. cm).
How many whole numbers between 100 and 800 contain the digit 2?
\(p, q\) and \(r\) are three non-negative integers such that \(p+q+r=10\). The maximum value of \(pq+qr+pr+pqr\) is
A number is interesting if on adding the sum of the digits of the number and the product of the digits of the number, the result is equal to the number. What fraction of numbers between 10 and 100 (both 10 and 100 included) is interesting?
At the centre of a city's municipal park there is a large circular pool. A fish is released in the water at the edge of the pool. The fish swims north for 300 feet before it hits the edge of the pool. It then turns east and swims for 400 feet before hitting the edge again. What is the area of the pool?
Mr. Mehra is planning for higher education expenses of his two sons aged 15 and 12. He plans to divide Rs 15 lakhs in two equal parts and invest in two different plans such that his sons may have access to Rs 21 lakhs each when they reach the age of 21. He is looking for plans that will give him a simple interest per annum. The rates of interest of the plans for his younger son and his elder son should be
Albela, Bob and Chulbul have to read a document of seventy eight pages and make a presentation next day. They realize that the article is difficult to understand and they would require teamwork to finish the assignment. Albela can read a page in 2 minutes, Bob in 3 minutes, and Chulbul in 4 minutes. If they divide the article into 3 parts so that all three of them spend the equal amount of time on the article, the number of pages that Bob should read is
Ramesh bought a total of 6 fruits (apples and oranges) from the market. He found that he required one orange less to extract the same quantity of juice as extracted from apples. If Ramesh had used the same number of apples and oranges to make the blend, then which of the following correctly represents the percentage of apple juice in the blend?