List of top Questions asked in XAT- 2016

In the budget Estimates of 2015-2016:

Consider the following statements: 1. Sinai is a part of Egypt.
2. Sinai is in Asia.
3. Sinai is in Africa.
4. Russian plane was downed in Sinai in November 2015.
Which of the above statements are true?

Each day on Planet M is 10 hours, each hour 60 minutes and each minute 40 seconds. The inhabitants use a 10-hour analog clock. If such a clock shows \(\,3\) hours \(42\) minutes \(20\) seconds in a {mirror, what will be the time on Planet M exactly after \(5\) minutes?}

Consider the set of numbers $\{1,\,3,\,3^{2},\,3^{3},\,\ldots,\,3^{100}\}$. The ratio of the last number and the sum of the remaining numbers is closest to:

For two positive integers $a$ and $b$, if $(a+b)^{(a+b)}$ is divisible by $500$, then the least possible value of $a\times b$ is:

Four persons walk from Point A to Point D following different routes. The one following ABCD takes 70 minutes. Another person takes 45 minutes following ABD. The third person takes 30 minutes following ACD. The last person takes 65 minutes following ACBD. If all walk at the same speed, how long will it take to go from point B to point C?

Anita, Biplove, Cheryl, Danish, Emily and Feroze compared their marks among themselves. Anita scored the highest marks, Biplove scored more than Danish, Cheryl scored more than at least two others and Emily had not scored the lowest.
Statement I: Exactly two members scored less than Cheryl.
Statement II: Emily and Feroze scored the same marks.
Which of the following statements would be sufficient to identify the one with the lowest marks?

In an amusement park, a visitor gets to ride on three different rides (A, B and C) for free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A or B (i.e., they were outside $A \cup B$). How many visited the amusement park on that day?

Rani bought more apples than oranges. She sells apples at Rs.\ 23 apiece and makes 15% profit. She sells oranges at Rs.\ 10 apiece and marks 25% profit. If she gets Rs.\ 653 after selling all the apples and oranges, find her profit percentage.

$a, b, c$ are integers, $|a| \ne |b| \ne |c|$ and $-10 \le a,b,c \le 10$. What will be the maximum possible value of $[\,abc - (a+b+c)\,]$?

Company ABC starts an educational program in collaboration with Institute XYZ. As per the agreement, ABC and XYZ will share profit in $60:40$ ratio. The initial investment of rupee 100{,}000 on infrastructure is borne entirely by ABC whereas the running cost of \rupee 400 per student is borne by XYZ. If each student pays rupee 2000 for the program, find the minimum number of students required to make the program profitable, assuming ABC wants to recover its investment in the very first year and the program has no seat limits.

A person standing at point $A$ on the ground saw an object at point $B$ on the ground $600$ m away. The object started flying towards him at an angle of $30^\circ$ with the ground. The person saw it the second time at point $C$ when the angle of elevation was $30^\circ$. At $C$, the object changed direction and continued flying upwards. The person saw it the third time when it was directly above him. The object flew at a constant speed of $10$ kmph. Find the angle (with the ground) at which it flew after the second sighting. You may use additional statement(s) if required.

Statement I: After changing direction the object took $3$ more minutes than it had taken before.
Statement II: After changing direction the object travelled an additional $200\sqrt{3}$ metres.
Which of the following is correct?

Akhtar plans to cover a rectangular floor of dimensions $9.5$ m and $11.5$ m using tiles. Two types of square tiles are available: side $1$ m costs \rupee{100, and side $0.5$ m costs \rupee{}30. Tiles can be cut if required. What is the {minimum} cost to cover the entire floor?}

A square piece of paper is folded three times along its diagonal to get an isosceles triangle whose equal sides are $10$ cm. What is the area of the unfolded original piece of paper?

If $a,b,c$ are three consecutive integers between $-10$ and $+10$ (both inclusive), how many {integer values are possible for} \[ \frac{a^3+b^3+c^3+3abc}{(a+b+c)^2}\,? \]

$f$ is a function for which $f(1)=1$ and $f(x) = 2x + f(x-1)$ for each natural number $x \geq 2$. Find $f(31)$.

Two numbers in the base system $B$ are $2061_B$ and $601_B$. The sum of these two numbers in decimal system is 432. Find the value of $1010_B$ in decimal system.

Pradeep could either walk or drive to office. The time taken to walk to the office is $8$ times the driving time. One day, his wife took the car making him walk to office. After walking $1$ km, he reached a temple when his wife called to say that he can now take the car. Pradeep figures that continuing to walk to the office will take as long as walking back home and then driving to the office. Calculate the distance between the temple and the office.

A water tank has $M$ inlet pipes and $N$ outlet pipes. An inlet pipe can fill the tank in $8$ hours while an outlet pipe can empty the full tank in $12$ hours. If all pipes are left open simultaneously, it takes $6$ hours to fill the empty tank. What is the relationship between $M$ and $N$?

Timbuktu is:

The Inuit Paradox:

Which Sea lies to the west of Yemen and Saudi Arabia?

In recent past, Indian football team has lost most of the matches in international football tournaments. The most successful coaches in Indian club football tournaments are from Latin American countries. In most of the Latin American countries, football is more popular sport than cricket.
From the passage above, choose the correct option:

Consider the two related statements below:
Statement I: Offices and positions for the marginalized sections should be open to those with greater savings among them.
Statement II: Offices and positions must be open to everyone based on the principle of fair opportunity.

This season will pass. The Prime Minister may not win Lok Sabha elections, or she may; she may not continue as Prime Minister, or she may. The country will survive whatever the texture of politics in this decade or the next.
Which of the following, IF TRUE, will BEST reinforce the author's view?