List of top Questions asked in Karnataka PGCET- 2021

A frequency distribution can be presented graphically by a:

The inverse of a symmetric matrix is 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:

The value of \(\cos \left( \frac12 \cos^-1 \frac18 \right)\) 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 \[ \cos^2 x + \cos^2 \left(x + \frac\pi3\right) + \cos^2 \left(x - \frac\pi3\right) \] is:

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:

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

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

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 is B's brother, C is A's mother, D is C's father, E is B's son. How is D related to E?

Which one of the following was the Eighth Five-Year Plan period in India?

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

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:

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

There are 5 pairs of shoes in a cupboard from which 4 shoes are picked at random. The probability that there is at least one pair is:

There are five different houses P, Q, R, S, T in a row. P is to the right of Q and T is to the left of R and right of P, Q is to the right of S. Which of the houses is in the middle?

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

Sail is to sailor as pick is to:

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?

A place where money is coined:

If in a certain language CARROM is coded as BZQQNL, which word will be coded as HORSE?