MCA Entrance Previous Year Question Bank

Larger, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships. 3 medium ships carry the same amount of water as 2 larger ships and 1 small ship. 15 large, 7 medium and 14 small ships, each made 36 journeys and brought a certain quantity of water. In how many journeys would 12 large, 14 medium and 21 small ships bring the same quantity of water?

Which of the following are greater than $x$ when $x=\frac{9}{11}$?

I. $\frac{1}{x}$

II. $\frac{x+1}{x}$

III. $\frac{x+1}{x-1}$

A car is filled with $4\frac{1}{2}$ L of fuel for a round trip. If the amount of fuel taken while going is $\frac{1}{4}$ th more than the amount taken for coming, what is the amount of fuel consumed when coming back?

The value of ${\int }_{-\pi /3}^{\pi /3}\frac{x\sin x}{{\cos }^{2}x}dx$ is:

${\int }_0^{\pi }[\cot x]dx$, where $[\cdot ]$ denotes the greatest integer function, is equal to:

Mr. X left his entire estate to his wife, his daughter, his son and the cook. His daughter and son got half the estate, sharing in the ratio of 4 to 3. His wife got twice as much as the son. If the cook received a bequest of Rs.500, then the entire estate was

If $a$ is a positive integer, then the number of values satisfying ${\int }_0^{\frac{\pi }{2}}\{a^2(\frac{\cos 3x}{4}+\frac{3}{4}\cos x)+a\sin x-20\cos x\}dx\le \frac{-a^2}{3}$ is:

${\int }_0^{1/2}\frac{dx}{\sqrt{x-x^2}}$ will be equal to:

If ${\int }_{12}^{-10}f(x)dx=6$, ${\int }_{100}^{-10}f(x)dx=-2$, and ${\int }_{100}^{-5}f(x)dx=4$, then ${\int }_{-5}^{12}f(x)dx=?$

The students in three classes are in the ratio $2:3:5$. If $20$ students are increased in each class, the ratio changes to $4:5:7$. The total number of students before the increase were: