List of top General Aptitude Questions asked in GATE XH- C5

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?

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?

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

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

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.

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?

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 appropriate synonym for the word ‘ignite’ in the following passage will be: Spirituality must be integrated with education. Self-realization is the focus. Each one of us must become aware of our higher self. We are links of a great past to a grand future. We should ignite our dormant inner energy and let it guide our lives. The radiance of such minds embarked on constructive endeavor will bring peace, prosperity, and bliss to this nation.

Amma’s tone in the context of the given passage is that of: For Amma, the difference between men and women was a kind of discrimination and inequality; she felt strongly about women’s rights but was not familiar with concepts like gender and patriarchy. She would have dismissed Betty Friedan because she was predominantly dealing with the problems of white middle-class women in the United States. Amma, and women of her generation, could de-link the oppression of women from the wider struggle for the liberation of human beings from class exploitation and imperialism. So Amma continued to play her role as mother and wife, but would often complain: ‘I am a doormat on which everyone wipes their emotional dirt off.’

Fill in the blanks by choosing the correct sequence for the following passage: I am wearing for the first time some (i) \(\_\_\_\_\_\_\) that I have never been able to wear for long at a time, as they are horribly tight. I usually put them on just before giving a lecture. The painful pressure they exert on my feet goads my oratorical capacities to their utmost. This sharp and overwhelming pain makes me sing like a nightingale or like one of those Neapolitan singers who also wear (ii) \(\_\_\_\_\_\_\) that are too tight. The visceral physical longing, the overwhelming torture provoked by my (iii) \(\_\_\_\_\_\_\), forces me to extract from words distilled and sublime truths, generalized by the supreme inquisition of the pain my (iv) \(\_\_\_\_\_\_\) suffer.}

Fill in the blanks with the correct combination of tenses for the given sentence: Darwin’s work (i) \(\_\_\_\_\_\_\) a related effect that (ii) \(\_\_\_\_\_\_\) influenced the development of environmental politics – a ‘decentering’ of the human being.}

Which of the following options holds a similar relationship as the words, ‘Music: Notes’?

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be \( 89.85^\circ \), the ratio of the Earth-Sun and Earth-Moon distances is closest to:

Which of the following sentences is punctuated correctly?

In the 4 x 4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule. Rule: The number in a cell represents the count of crosses around its immediate neighboring cells (left, right, top, bottom, diagonals). As per this rule, the maximum number of crosses possible in the empty column is:
\includegraphics[width=0.5\linewidth]{q9 CE.PNG}

In the given text, the blanks are numbered (i)—(iv). Select the best match for all the blanks. From the ancient Athenian arena to the modern Olympic stadiums, athletics \( (i) \) the potential for a spectacle. The crowd \( (ii) \) with bated breath as the Olympian artist twists his body, stretching the javelin behind him. Twelve strides in, he begins to cross-step. Six cross-steps \( (iii) \) in an abrupt stop on his left foot. As his body \( (iv) \) like a door turning on a hinge, the javelin is launched skyward at a precise angle.

The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h). The Capacity Factor of a power generation technology is: \[ \text{Capacity Factor} = \frac{\text{Electricity Generation (MWh)}}{\text{Installed Capacity (MW)} \times 1000 \, (\text{h})}. \] Which one of the given technologies has the highest Capacity Factor?
\includegraphics[width=0.7\linewidth]{q8 CE.PNG}

Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people. How many unique seating arrangements are possible such that each person is sitting next to their twin?

On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?

For positive integers \( p \) and \( q \), with \( \frac{p}{q} \neq 1 \), \[ \left(\frac{p}{q}\right)^{\frac{p}{q}} = \left(\frac{p}{q}\right)^{(\frac{p}{q} - 1)}. \] Then: (1) \( q^p = p^q \)

In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is:

Which one of the given options is a possible value of \( X \) in the following sequence? \[ 3, 7, 15, X, 63, 127, 255 \]

If ‘—’ denotes increasing order of intensity, then the meaning of the words [simmer — seethe — smolder] is analogous to [break — raze — ]. Which one of the given options is appropriate to fill the blank?