List of top General Aptitude Questions asked in GATE Biomedical Engineering

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:

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

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
 

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?

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?


 

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 1st round, the 4th student behind P leaves the game.
After the 2nd round, the 5th student behind Q leaves the game.
After the 3rd round, the 3rd student behind V leaves the game.
After the 4th round, the 4th student behind U leaves the game.

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

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.

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


 

Which one of the following vectors is an eigenvector corresponding to the eigenvalue \(\lambda = 1\) for the matrix \[ A = \begin{bmatrix} 1 & 1 & 0 \\ 1 & -1 & 0 \\ 1 & -1 & 1 \end{bmatrix}? \]
For the function \(f(x,y)=e^{x\cos(y)\), what is the value of \(\dfrac{\partial^{2}f}{\partial x\,\partial y}\) at \((x=0,y=\pi/2)\)?}
\( Q = \begin{bmatrix} 1 & -2 \\ 2 & 1 \end{bmatrix} \) is a \( 2 \times 2 \) matrix. Which one of the following statements is TRUE?
Which one of the following options can be inferred from the given passage alone?
\textit{When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine that I could just gaze off into space and be whisked to another planet.}
[Excerpt from \textit{The Truth about Stories} by T. King]
Which one of the following options represents the given graph?
Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to:
(i) Collect saliva samples from all 1000 individuals and randomly group them into sets of 5.
(ii) Mix the samples within each set and test the mixed sample for covid.
(iii) If the test done in (ii) gives a negative result, then declare all the 5 individuals to be covid negative.
(iv) If the test done in (ii) gives a positive result, then all the 5 individuals are separately tested for covid.
Given this strategy, no more than __________ testing kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped.
What is the magnitude of the difference between the mean and the median of the dataset \(\{1,2,3,4,6,8\}\)?
For a Binomial random variable \(X\), \(\mathrm{E}(X)\) and \(\mathrm{Var}(X)\) are the expectation and variance, respectively. Which one of the following statements CANNOT be true?
A \(100\text{ cm} \times 32\text{ cm}\) rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions \(100\text{ cm} \times 1\text{ cm}\).
The total number of creases visible when the sheet is unfolded is __________.
Courts : __________ : : Parliament : Legislature (By word meaning)
How many rectangles are present in the given figure?
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.
Based only on the information provided above, which one of the following options can be logically inferred with \textit{certainty?}
In a class of 100 students,
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
What is the smallest number with distinct digits whose digits add up to 45?
“I cannot support this proposal. My ____________ will not permit it.”