List of top Questions asked in Karnataka PGCET

Find the missing number in the following: \[ \beginbmatrix 2 & 3 & 1
1 & 2 & -1
? & 3 & 4 \endbmatrix \]

Find the odd man out from: $1, 4, 9, 16, 19, 36, 49$

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

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:

This question contains two statements followed by two conclusions numbered I and II. You have to consider the two statements to be true, even if they seem to be at variance with commonly known facts, and decide which of the given conclusions definitely follow from the given statements.
Statements:
Some chairs are glasses.
All trees are chairs.
Conclusions:
I. Some trees are glasses.
II. Some glasses are trees.

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 A = 1, FAT = 27, then FAITH = ....................

If ‘-’ stands for addition, ‘+’ stands for subtraction, ‘$\div$’ stands for multiplication and ‘$\times$’ stands for division, then which one of the following equations is correct?

If \(p, q, r\) are in A.P., then the value of \[ \begin{vmatrix} x+4 & x+9 & x+p \\ x+5 & x+10 & x+q \\ x+6 & x+11 & x+r \end{vmatrix} \] is:

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

The 3 arithmetic means between 3 and 19 are:

The sign magnitude representation of $-1$ is:

If $p, q, r$ are in A.P., $a$ is G.M. between $p$ and $q$, and $b$ is G.M. between $q$ and $r$, then $a^2, q^2, b^2$ are in:

The next number in the series is 121, 117, 108, 92, 67, ?

A word has been given, followed by four other words, one of which cannot be formed by using the letters of the given word. Word: CONSTRUCTION

Six persons A, K, B, M, N and Q are sitting in a row. N and Q are in the centre, and A and K are at the ends. B is sitting on the left of A. Then who is sitting on the right of K?

The letter group comes in place of ? in SMART : QJWMN : : DULL : ?

What would come in the place of ? in the following series? 3F, 6G, 11L, 18L, ?

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: