List of top Questions asked in Karnataka PGCET- 2026

Choose the best alternative and complete the sentence. In my opinion, he seems to enjoy ________ to school.
• [(i)] not going
• [(ii)] going
• [(iii)] by going
• [(iv)] in going
Choose the appropriate question tag: You heard what I told him, ________
Read the following sentences and identify which of them are in the passive form.
• [(a)] My pocket is picked.
• [(b)] The snake was killed by the boy.
• [(c)] He asked him to get out.
• [(d)] They were asked to keep quiet.
If the probability of getting Rh+ve is 0.9 and probability of new born being male is \(1/2\), then the probability of new born being male with Rh+ve is
The sampling procedure and the situation is given in the following table:
Find the Mean and Median of the data \[ 11,\ 7,\ 6,\ 9,\ 12,\ 15,\ 19,\ 20 \]
Correlation coefficient is not affected by
• [(i)] Interchanging the two variables
• [(ii)] Adding the same number to all the values of one variable
• [(iii)] Multiplying all the values of one variable by the same positive number
• [(iv)] Multiplying all the values of one variable by the same negative number Choose the correct answer from the following:

The distribution of family income in 1987 in a city is given below:

\[ \begin{array}{|c|c|} \hline \text{Percentile} & \text{Family Income} \\ \hline 1 & \$1300 \\ \hline 10 & \$8500 \\ \hline 25 & \$17100 \\ \hline 50 & \$30800 \\ \hline 75 & \$48000 \\ \hline 90 & \$68500 \\ \hline 99 & \$125000 \\ \hline \end{array} \]
Statements:

Statement (i): 50% of the population has income less than \(\$30,800.\)

Statement (ii): Middle 50% of the population has income in the range c\(\$30,800.\)

Statement (iii): 99% of the population has income \(\$1,25,000.\)

Statement (iv): Median income is \(\$30,800.\)

The distribution of qualitative variables is summarised as
Consider the following statements:
• [(i)] If you add 9 to each entry that adds 9 to the average.
• [(ii)] If you add 9 to each entry that adds 9 to the standard deviation.
• [(iii)] If you double each entry on a list that doubles the average.
• [(iv)] If you double each entry on a list that doubles the standard deviation. Which of the following is correct?
In a certain college in Andhra Pradesh there were 800 students. Among them 320 were normal, 200 with anaemia, 160 with B-complex deficiency and 120 with Vitamin A deficiency. Complete the table and identify the correct statements.
A class of 40 students showed that 20% were taller, 40% were shorter and 40% were shortest. Then the probability that the students are either taller or shortest is?
There is a list of a hospital with admitted patients by age for one day. There were 1000 patients attended. Among these patients, children below 5 years were 600; 200 were between the age of 5 years and 45 years and 200 were above 45 years. Then the proportion of patients attended by the hospital to be of age less than five years and adults of 45 years and above is
There are four consecutive odd numbers \(x_1, x_2, x_3\) and \(x_4\) and three consecutive even numbers \(y_1, y_2\) and \(y_3\). The average of odd numbers is 12 less than the average of even numbers. If the sum of three even numbers is 32 less than the sum of four odd numbers, then the average of \(x_1, x_2, x_3\) and \(x_4\) is
The area of a rectangle gets reduced by 40 square units if its length is reduced by 7 units and breadth is increased by 2 units. If we increase the length by 4 units and breadth by 4 units, then the area is increased by 108 square units. Find the length and breadth.
Five years ago, mother was three times older than daughter. Ten years later, mother will be twice as old as daughter. How old are daughter and mother now?
‘A’ and ‘B’ are two stations 465 km apart. A train starts from ‘A’ at 10 a.m. and travels towards ‘B’ at 65 kmph. Another train starts from ‘B’ at 11 a.m. and travels towards ‘A’ at 35 kmph. At what time do they meet?
It is desirable to be able to distinguish between strong arguments and weak arguments. Strong arguments are those which are both important and directly related to the question. Weak arguments are those which are of minor importance and also may not be directly related to the question or may be related to trivial aspects of the question. The Statement below is followed by two arguments numbered I and II. You have to decide which of the arguments is a strong argument and which is a weak argument.
Statement: Should larger the sample size minimize the experimental error?
Arguments: I. Yes, this is one of the ways to improve the efficiency of the estimator. II. No, sample size is not at all a matter.
In the following question, two statements are given. They may or may not be cause and effect relationship between the two statements. Statement I: As the income increases, the expenditure also increases. Statement II: The age of wife and husband changes in positive direction. Choose an appropriate option.
Given below are pictures of a dice.
Which number is on the face opposite to 3?
The two statements given are followed by two Conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. Statements:
• Statistics is a process of data analysis.
• Knowledge requires light to enlighten the core of cognitive aspect. Conclusions:
• Statistics is the tool to analyse the data and decision-making.
• Statistics is a static process for mind.
Choose the correct meaning of degrees of freedom in statistical concept if \(n\) is number of observations.
Choose the missing term in place of question mark (?) on the basis of the relationship between the word given on the left/right side of the sign of analogy. \[ \text{BOOKS} : 2,15,15,11,19 :: \text{PAPER} : ? \]
In the following figure, square represents students, triangle represents teachers, circle represents professors and rectangle represents Indians.
Which set of letters represents Indians who are not students?
Which of the following Venn diagram best represents the relationship among Americans, Professors and Men?