List of top Questions asked in GATE XH- C3, GATE XH- C5

Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Abuse \( \rightarrow \) Insult \( \rightarrow \) Ridicule
__________ \( \rightarrow \) Praise \( \rightarrow \) Appreciate

Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the 1^st round, the 4^th student behind P leaves the game.
After the 2^nd round, the 5^th student behind Q leaves the game.
After the 3^rd round, the 3^rd student behind V leaves the game.
After the 4^th round, the 4^th student behind U leaves the game.

Who all are left in the game after the 4^th round?

Which one of the following plots represents \( f(x) = -\frac{|x|}{x} \), where \( x \) is a non-zero real number?
Note: The figures shown are representative.

The 12 musical notes are given as \( C, C^\#, D, D^\#, E, F, F^\#, G, G^\#, A, A^\#, B \). Frequency of each note is \( \sqrt[12]{2} \) times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes F# and C is:

The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration n' is:

Had I learnt acting as a child, I ________ a famous film star.
Select the most appropriate option to complete the above sentence.

Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
P: Over time, such adaptations lead to significant evolutionary changes with the potential to shape the development of new species.
Q: In natural world, organisms constantly adapt to their environments in response to challenges and opportunities.
R: This process of adaptation is driven by the principle of natural selection, where favorable traits increase an organism’s chances of survival and reproduction.
S: As environments change, organisms that can adapt their behavior, structure, and physiology to such changes are more likely to survive.

A stick of length one meter is broken at two locations at distances of \( b_1 \) and \( b_2 \) from the origin (0), as shown in the figure. Note that \( 0<b_1<b_2<1 \). Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?
Note: All lengths are in meter. The figure shown is representative.

The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?

An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee.

The overhead is 20% of the consulting fee if the fee is up to ₹5,00,000.
For higher fees, the overhead is ₹1,00,000 plus 10% of the amount by which the fee exceeds ₹5,00,000.
The government charges a Goods and Services Tax (GST) of 18% on the total amount (i.e., the consulting fee plus the overhead).
An employee of the organization charges this entire amount — that is, the consulting fee, overhead, and tax — to the client.

If the client cannot pay more than ₹10,00,000, what is the maximum consulting fee that the employee can charge?

If Soni got an intelligence score of 115, then what percentage of the population (% as given in the graph) will have intelligence scores higher than the score obtained by Soni? (rounded off to 2 decimal places)

Examine the given data. The value of X is ________ (in integer).

When the probability of Type I error (\(\alpha\)) is 0.05 and the maximum acceptable probability of Type II error (\(\beta\)) is 0.20, the researcher is willing to accept that Type I error is ........ (answer in integer) times more serious than a Type II error.

P is three years younger than R but one year older than S. S is one year older than Q but 4 years younger than R. R is 15 years old. The age of Q is ________ years.

Consider a square field ABCD. The diagonal AC is 50 meter. The cost of laying grass in the field is Rs. 5 per square-meter. The total cost for laying grass in the field ABCD is Rs. ________________ (rounded off to two decimal places).

A car started from city P at 9:40 AM. The time taken for the car to reach city Q is 4 hours and 50 minutes. The time of arrival of the car at city Q is:

If Soni got an intelligence score of 115, then what percentage of the population (% as given in the graph) will have intelligence scores higher than the score obtained by Soni? (rounded off to 2 decimal places)

Refer to Column I and Column II and mark the statement(s) that is/are “True” \[ \begin{array}{|c|c|} \hline \textbf{Column I: Class 8, Section A marks} & \textbf{Column II: Class 8, Section B marks} \\ \hline 12 & 18 \\ 12 & 18 \\ 11 & 15 \\ 10 & 15 \\ 10 & 10 \\ 9 & 5 \\ 8 & 2 \\ 8 & 2 \\ \hline \end{array} \]

Projective Techniques would NOT be of interest to which type(s) of personality theorists?

Assertions:
P. Factor analysis reduces a large number of measures to a smaller number of clusters.
Q. The measures within each cluster are highly interconnected and reflect the same underlying dimensions.
Which of the following is correct?

Match the concept to the correct answer: \[ \begin{array}{|c|l|c|l|} \hline \textbf{P} & \text{Confounding} & \textbf{i)} & \text{We can draw clear causal conclusions from an experiment.} \\ \hline \textbf{Q} & \text{High internal validity} & \textbf{ii)} & \text{Presence of an uncontrolled variable creates uncertainty as to} \\ & & & \text{whether the dependent variable was influenced by the independent variable.} \\ \hline \textbf{R} & \text{High external validity} & \textbf{iv)} & \text{The results of a study generalize to other settings and populations.} \\ \hline \textbf{S} & \text{Placebo effect} & \textbf{iii)} & \text{Participant improves because of the expectation of receiving a} \\ & & & \text{treatment, not because of the treatment itself.} \\ \hline \end{array} \]