List of top Questions asked in Karnataka PGCET- 2026

For a symmetrical distribution:
The standard deviation of a distribution is 5. If each observation is increased by 2, then the new standard deviation will be:
If \(P(A)=0.8\), \(P(B)=0.5\) and \(P(B|A)=0.4\), then the value of \(P(A|B)\) is:
If the mode of a distribution is 18 and the mean is 24, then the median is:
The range of the data 12, 25, 15, 18, 35, 11, 45, 33, 22, 10 is:
If an event cannot occur, then its probability is:
The average of squared deviations from mean is called:
If the first quartile is 142 and the semi-interquartile range is 18, then the third quartile is:
The relation between mean, median and mode for a moderately asymmetrical distribution is:
The algebraic sum of the deviations of a set of \(n\) values from their arithmetic mean is:
An experiment succeeds twice as often as it fails. The probability of success in the next trial is:
The average of 5 numbers is 27. If one number is excluded, the average becomes 25. The excluded number is:
Two dice are thrown and the sum of the numbers which come up on the dice is noted. Among the following events:
• A: The sum is even.
• B: The sum is a multiple of 3.
• C: The sum is less than 4.
• D: The sum is greater than 11. Which pair of events are mutually exclusive?
The arithmetic mean of \(1,2,3,\ldots,n\) is:
In a right angled isosceles triangle \(\Delta ABC\), right angle at \(C\), if side \(a=2\), then sides \(b\) and \(c\) are respectively

If the mean of the distribution is \(5\), then the value of \(P\) is:

\[ \begin{array}{|c|c|c|c|c|c|} \hline x_i & 2 & 4 & 6 & P & 10 \\ \hline f_i & 3 & 2 & 1 & 4 & 2 \\ \hline \end{array} \]
 

\[ \tan^{-1}(1)+\cos^{-1}\left(-\frac12\right)+\sin^{-1}\left(-\frac12\right) = \]
The Boolean expressions \[ (AB)' = A' + B' \] and \[ (A+B)' = A'B' \] represent
A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually six.
A committee of two persons is selected from two men and two women. What is the probability that the committee will have one man?
The variance of 25 observations is 6. If each observation is multiplied by 3, then the new variance of the resulting observations is
The general solution of \[ 2\cos\theta-\sqrt3=0 \] is
Match List-I with List-II. graphics[width=0.6\textwidth]{q82.png} Codes:
Two dice are thrown and the sum of the numbers which come up is noted. Among the following events: A: sum is even, B: sum is multiple of 3, C: sum is less than 4, D: sum is greater than 11. Which pair of events are mutually exclusive?
The probability of selecting a man from a crowd containing 20 men and 33 women is