MCA Entrance Previous Year Question Bank

Match List-I with List-II

For f to be continuous , f(0) is given by

List-I Function f(x)		List-II f(0)
A.	f(x)= $\frac{l o g ( 1 + 4 x )}{x}$	I.	¼
B.	f(x)= $\frac{l o g 4 + x ) - l o g 4}{x}$	II.	1
C	f(x)= $\frac{x}{s i n x}$	III.	4
D.	f(x)= $\frac{1 - c o s ^{3} x}{x s i n 2 x}$	IV.	3/4

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Match List-I with List-II

List-I		List-II
A.	$\int_{0}^{\frac{π}{2}} \frac{s i n ^{4} x}{s i n ^{4} x + c o s ^{4} x} d x$	I.	0
B.	$I = \int_{π /6}^{π /3} \frac{1}{1 + t a n x} d x .$	II.	1
C	$\int_{0}^{1} x e^{x} d x$	III.	$\frac{π}{12}$
D.	$\int_{- 1}^{1} x^{109} cos^{88} x d x$	IV.	$\frac{π}{4}$

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If the parametric equation of a curve is given by $x = e^{t} cos t$ and $y = e^{t} s in t$ then the tangent to the curve at the point $t = π/4$ makes the angle with the axis of x is

Consider the system of linear equations as 2x + 2y + z = 1, 4x + ky + 2z = 2 and kx + 4y +z = 1 then choose the correct statement(/s) from below

(A) The system of equations has a unique solution if k ≠4 and k≠2

(B) The system of equations is inconsistent for every real number k

(C) The system of equations have infinite number of solution if k= 4

(D) The system of equations have infinite number of solution if k= 2

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The mean of 5 data is 5.2 and their variance is 27.296. If three of the data are 1,3 and 6 then other two data are

How many child processes will be created by following fork ( ) system call?

fork();

A logic circuit, that can add two 1-bit numbers and produce output for sum and carry but cannot handle carry input, is called ______

Match List-I with List-II

List-I		List-II
A.	Critical Region	I.	Circular wait
B.	Working Set	II.	Condition variable
C	Deadlock	III.	Principle of locality
D.	Wait/signal	IV.	Mutual exclusion

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CUET PGReasoning2024

Statement :-

Some pens are books.

All School are Books.

Some Colleges are Schools.

Consider the following conclusions based on above statements.

(a) Some colleges are pens.

(b) Some Pens are Schools.

(c) Some Colleges are Books.

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CUET PGReasoning2024

In a class, 4/5 of the students are boys and rest are girls. If 2/5 of the boys and ¼ of the girls are absent, what part of the total number of students is present?