List of top General Aptitude Questions asked in GATE CE

The real variables x, y, z, and the real constants p, q, r satisfy.
\( \frac{x}{pq-r^2} = \frac{y}{qr-p^2} = \frac{ z}{rp - q^2}\)
Given that the denominators are non-zero, the value of \(px +qy+rz\) is

In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks. Text:
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.

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?

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

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

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

Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}

The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of the following options is true?

In the given text, the blanks are numbered (i)—(iv). Select the best match for all the blanks.
Prof. P \(\underline{(i)}\) merely a man who narrated funny stories. moments he was capable of self-deprecating humor. \(\underline{(ii)}\) in his blackest 
Prof. Q \(\)\(\underline{(i)}\) a man who hardly narrated funny stories. \(\underline{(iv)}\) in his blackest moments was he able to find humor.

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?

A planar rectangular paper has two V-shaped pieces attached as shown below.

This piece of paper is folded to make the following closed three-dimensional object.

The number of folds required to form the above object is

In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21,...

If ‘→' denotes increasing order of intensity, then the meaning of the words [smile → giggle → laugh] is analogous to [disapprove → ________→ chide]. Which one of the given options is appropriate to fill the blank?

Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let P, Q, and R move with speeds \(v_p\), \(v_q\), and \(v_r\), respectively.
Which one of the following options is CORRECT?

Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to someone, then it is always taken to be a declaration of one's love for that person. In a similar manner, the gifting of a yellow flower to someone often means that one is angry with that person.
Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) In Elvesland, one always declares one's love by gifting a white flower.
(ii) In Elvesland, all emotions are declared by gifting flowers.
(iii) In Elvesland, sometimes one expresses one's anger by gifting a flower that is not yellow.
(iv) In Elvesland, sometimes one expresses one's love by gifting a white flower.

Kind : \underline{\hspace{2cm} : : Often : Seldom}
(By word meaning)

What is the relationship between P & Q?
\(\left(\frac{P}{Q}\right)^{\frac{P}{Q}} = P^{\frac{P}{Q}-1}\)

Find the value of x 
3, 7, 15, x, 63, 127, 255