List of top Questions asked in Karnataka Post Graduate Common Entrance Test

A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?

If \(\log_a(ab) = x\) then the value of \(\log_b(ab)\) is:

The length of the transverse axis of the hyperbola \(3x^2 - 4y^2 = 32\) is:

If eccentricity \(e = \frac13\), then the ratio of the major axis to the minor axis of the ellipse is:

The value of \(\cos \left( \frac12 \cos^-1 \frac18 \right)\) is:

In how many ways can we form a garland using 6 different flowers?

If the probability of rain on any given day in city X is 50%, what is the probability that it rains on exactly 3 days in a 5-day period?

If the angle between two lines is \(\frac\pi4\) and slope of one of the lines is \(\frac12\), then the slope of the other line is:

The value of \(\cos 1^\circ \cos 2^\circ \cos 3^\circ s \cos 180^\circ\) is:

If \(\tan \theta = \frac12\) and \(\tan \phi = \frac13\) then the value of \(\theta + \phi\) is:

If \(2 \tan^-1 (\cos x) = \tan^-1 (2 \csc x)\) then the value of \(x\) is:

The circumference of the circle \(x^2 + y^2 - 18x - 16y + 120 = 0\) is:

The inverse of a symmetric matrix is a:

Sail is to sailor as pick is to:

Gift of the gab:

A place where money is coined:

Who has signed an MoU with the Department of MSME and Mines of Government of Karnataka to promote arts, crafts, and the handloom sector of Karnataka?

First Indian woman to become Miss Universe:

The synonym of IRONIC is:

The antonym of COMFORT is:

Who developed the world's most affordable COVID-19 Diagnostic kit "Corosure"?

Who has provided drones named "Bharat" to the Indian Army to provide accurate surveillance along the Line of Actual Control in high altitude and mountainous terrains of Eastern Ladakh?

A book titled "Future of Higher Education – Nine Mega Trends" is authored by: