List of top Questions asked in Karnataka PGCET

A frequency distribution can be presented graphically by a:

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:

Focus of the parabola \(y^2 - 8x - 32 = 0\) is:

If the coefficient of variation and mean of a frequency distribution are 5% and 125 respectively, then the standard deviation is:

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

The value of \[ \cos^2 x + \cos^2 \left(x + \frac\pi3\right) + \cos^2 \left(x - \frac\pi3\right) \] is:

If $a^x = b^y = c^z$ and $b^2 = ac$, then the value of $y$ is equal to:

The inverse of a symmetric matrix is a:

In a group of cows and hens, the number of legs is 14 more than twice the number of heads. The number of cows is:

If A and B are the coefficients of $x^n$ in the expansion of $(1 + x)^2n$ and $(1 + x)^2n - 1$, then:

If the system of linear equations: \[ x + 2ay + az = 0 \] \[ x + 3by + bz = 0 \] \[ x + 4cy + cz = 0 \] has a non-zero solution, then $a, b, c$ are:

If \[ \begin{bmatrix} x + y + z \\ x + y \\ y + z \end{bmatrix} = \begin{bmatrix} 9 \\ 5 \\ 7 \end{bmatrix} \] then the value of \((x, y, z)\) is:

There are 36 vehicles in a parked lot in a single row. After the 1st cycle, there is one scooter, after the 2nd cycle there are two scooters, and after the 3rd cycle, there are three scooters. Find the number of scooters in the first half of a row.

If ABC × DEED = ABCABC, where A, B, C, D, and E are different digits. The values of D and E are:

Find the odd letter group in the following: BDHN, ADIP, CEIO, DFJP

When the following words are arranged in dictionary order, the third position word is: INVENT, INVENTION, INNOVATION, INVEST

From the digits 0, 1, 2, 3, three-digit numbers are formed. Among that, the number of even numbers are:

If ABC is coded as 6, EFG is coded as 210, then JIM can be coded as:

In the given number series, one of the numbers is not belonging to that series, the number is: 3F, 6G, 11L, 18L, ?

One year ago, a man was 8 times as old as his daughter. Now his age is equal to the square of his daughter's age. The present age of the daughter is:

John is standing at the South East corner of a rectangular field. He starts crossing the fields diagonally. After walking half the distance, he turns right, walks some distance and turns left. Which direction is John facing now?

If + means multiplied by, - means divided by, * means plus and / means minus then: (18 + 10 × 20) - 8 ÷ 6 = ?

A cube is painted Blue on all faces and is then cut into 125 cubes of equal size. How many cubes are not painted on any face?