MCA Entrance Previous Year Question Bank

If $\theta ={\tan }^{-1}\frac{1}{1+2}+{\tan }^{-1}\frac{1}{1+(2)(3)}+{\tan }^{-1}\frac{1}{1+(3)(4)}+\cdots +{\tan }^{-1}\frac{1}{1+n(n+1)}$, then $\tan \theta$ is equal to:

$\{p\to q\vee r,q\to s,r\to s\}$ is logically equivalent to

Given $f_1,f_3$ and $f$ in canonical sum of products form (in decimal) from the circuit $f_1=\sum m(4,5,6,7,8)$, $f_3=\sum m(1,6,15)$ and $f=\sum m(1,6,8,15)$, then $f_2$ is

The minimum number NAND gates required to realize $AB+A{B}^{\prime }C+A{B}^{\prime }{C}^{\prime }$ is

Read the conclusion and then decide which of the given conclusions logically follows from the two given statements (i)and (ii)disregarding commonly known facts. Statements: (i) No women teacher can play. (ii) Some women teachers are athletes. Conclusions: (i)Male athletes can play. (ii) Some athletes can play.

If the statements “All chickens are birds”, “Some chickens are hens” and “Female birds lay eggs”, are all facts, then which of the following must also be a fact? I. All birds lay eggs II. Some hens are birds III. Some chickens are not hens

If $x,y,$ and $z$ are three consecutive positive integers, then $\log (1+xz)$ is:

A study of native born residents in an area of Adivasis found that two-third of the children developed considerable levels of the nearsightedness after starting school, while their illiterate parents and grandparents, who had no opportunity for formal schooling, showed no signs of this disability. If the above statements are true, which of the following conclusions is most strongly supported by them?

Each word in parenthesis below is formed in a method. This method is used in all four examples.

$SNIP(NICE)PACE$

$TEAR(EAST)FAST$

$TRAY(RARE)FIRE$

$POUT(OURS)CARS$

Based on this method, the word in the parenthesis of $CANE(?)BATS$ is:

If $x={\log }_{3}5$, $y={\log }_{17}25$, then which one of the following is correct?