List of top Questions asked in Guru Gobind Singh Indraprastha University Common Entrance Test

Permanent instructions that the computer use when it is turned ON and that cannot be changed by other instructions are contained in:
If \( x^2 + ax + b = 0 \) and \( x^2 + bx + a = 0 \) have exactly one common root, then the value of \( (a + b) \) is:
The two kinds of main memory are:
Which of the following acts as a buffer between the CPU and the main memory?
In computer terminology, what is the full form of RAM?
If \( \int \sec^2(7 - 4x) \, dx = \tan(7 - 4x) + C \), then the value of \( a \) is:
If \( \sin y = x \sin(a + y) \), then \( \frac{dy}{dx} \) is:
If \( A \) is the set of even natural numbers less than 8 and \( B \) is the set of prime numbers less than 7, then the number of relations from \( A \) to \( B \) is:
The number of four-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5 with at least one digit repeated is:
The value of \( x \), if \( \left| 5^2 - 4 \right| = 12x - 4 \), is:
A point on the curve \( y = x^3 - 3x \), where the tangent is parallel to the chord joining \( (1, -2) \) and \( (2, 2) \), is:
If A is a \( 3 \times 3 \) matrix, \( |A| \neq 0 \) and \( |3A| = k |A| \), then the values of k is:
The coefficient of variation of the two frequency distributions is 60% and 40% respectively. Both series have the same mean = 15. What is their standard deviation?
The pair of equations \( x + 3y = 6 \) and \( 2x - 3y = 12 \) :
Which of the following statements is false?
The area of the figure bounded by the curve \( y = \log_e x \), the x-axis and the straight line \( x = e \) is
The solution of the equation \( |z| = z + 1 + 2i \) is:
If a, b, c are nonzero vectors such that a=8b, and c= -7b, then the angle between a and c is:
If a= (1, 1, 1), b= (x, y, z), c= (0, 1, -1) are three vectors such that \( a \cdot b = 3, a \times b = c \), then b is
The integrating factor of the differential equation \( x^2 \left(\frac{dy}{dx}\right) - xy = 1 \) is:
If \( 4\cot^2 x - 16\cot x + 15 < 0 \) and x is real then cot x lies in the interval:
If \( \vec{A}, \vec{B} \) are unit vectors. If \( \vec{C} = \vec{A} + 2\vec{B} \) and \( \vec{D} = 5\vec{A} - 4\vec{B} \) are perpendicular, then angle between \( \vec{A} \) and \( \vec{B} \) is:
If y intercept of a plane \( (x - y + z - 1) + q(x + y - z - 1) = 0 \) is 3 then q is :
Which of the following words is an opposite in meaning to the word PEEVED?
If (i) P is taller than Q, (ii) R is shorter than P, (iii) S is taller than T but shorter than Q, then who among them is tallest?