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General Aptitude
List of top General Aptitude Questions
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?
GATE CE - 2024
GATE CE
General Aptitude
Logical and Analytical Reasoning Skills
For positive integers \( p \) and \( q \), with \( \frac{p}{q} \neq 1 \), \( \left(\frac{p}{q}\right)^q = p^{(q-1)} \). Then,
GATE CE - 2024
GATE CE
General Aptitude
Logical and Analytical Reasoning Skills
In a certain type of code, 'they play cricket together' is written as ‘mv kb lb iv'; 'they score maximum points' is written as 'gb lb mb kv'; 'cricket score earned points' is written as 'mb gv kb kv' and 'points are earned together' is written as 'kv mv ob gv.'
What is the code for ‘earned maximum points’ ?
GATE XH-C1 - 2024
GATE XH-C1
General Aptitude
Coding Decoding
Suppose signal \( y(t) \) is obtained by the time-reversal of signal \( x(t) \), i.e., \( y(t) = x(-t) \),\(-\inftyLt;tLt;\infty\) Which of the following options is always true for the convolution of \( x(t) \) and \( y(t) \)?
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
The circuit shown in the figure with the switch \( S \) open is in steady state. After the switch \( S \) is closed, the time constant of the circuit in seconds is:
\includegraphics[width=0.5\linewidth]{14.png}
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
A three-phase, 50 Hz, 6-pole induction motor runs at 960 rpm. The stator copper loss, core loss, and the rotational loss of the motor can be neglected. The percentage efficiency of the motor is:
GATE EE - 2024
GATE EE
General Aptitude
Percentage
The number of junctions in the circuit is:
\includegraphics[width=0.5\linewidth]{13.png}
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
Which one of the following matrices has an inverse?
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
A surveyor has to measure the horizontal distance from her position to a distant reference point \(C\). Using her position as the center, a 200 m horizontal line segment is drawn with the two endpoints \(A\) and \(B\). Points \(A\), \(B\), and \(C\) are not collinear. Each of the angles \(\angle CAB\) and \(\angle CBA\) are measured as \(87.8^\circ\). The distance (in m) of the reference point \(C\) from her position is nearest to:
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
The chart below shows the data of the number of cars bought by Millennials and Gen X people in a country from the year 2010 to 2020 as well as the yearly fuel consumption of the country (in Million liters). Considering the data presented in the chart, which one of the following options is true?
\includegraphics[width=0.5\linewidth]{8.png}
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks can translate towards the left (\(\leftarrow\)) or the right (\(\rightarrow\)) direction. If the object \(A\) (Rack) is translating towards the right (\(\rightarrow\)) direction, the correct statement among the following is:
\includegraphics[width=0.5\linewidth]{9.png}
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks. Following a row \_\_ (i) \_\_ the shopkeeper \_\_ (ii) \_\_ the price of a frying pan, the cook stood \_\_ (iii) \_\_ a row to withdraw cash \_\_ (iv) \_\_ the ATM booth.
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
In the following figure, CD = 5 cm, BE = 10 cm, AE = 12 cm, \(\angle DAB = \angle DCB\), and \(\angle DAE = \angle DBC = 90^\circ\). Points AFCD create a rhombus. The length of BF (in cm) is:
\includegraphics[width=0.3\linewidth]{7.png}
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
The decimal number system uses the characters \(0, 1, 2, ..., 8, 9,\) and the octal number system uses the characters \(0, 1, 2, ..., 6, 7.\)
For example, the decimal number \(12 (= 1 \times 10^1 + 2 \times 10^0)\) is expressed as \(14 (= 1 \times 8^1 + 4 \times 8^0)\) in the octal number system. The decimal number 108 in the octal number system is:
GATE EE - 2024
GATE EE
General Aptitude
Geometry
A shopkeeper buys shirts from a producer and sells them at 20\% profit. A customer has to pays Rs. 3186 including 18\% taxes per shirt. At what price did the shopkeeper buy each shirt?
GATE EE - 2024
GATE EE
General Aptitude
Verbal Analogies
If, for non-zero real variables \(x, y\) and a real parameter \(a>1\), \(x : y = (a+1) : (a-1)\). Then, the ratio \((x^2 - y^2) : (x^2 + y^2)\) is:
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
\(P\) and \(Q\) have been allotted a hostel room with two beds, a study table, and an almirah. \(P\) is an avid birdwatcher and wants to sit at the table and watch birds outside the window. \(Q\) prefers a bed close to the ceiling fan. Which one of the following arrangements suits them the most?
GATE EE - 2024
GATE EE
General Aptitude
Mathematical Logic
If ‘→’ denotes increasing order of intensity, then the meaning of the words [talk → shout → scream] is analogous to [please → \_\_\_\_\_ → pander]. Which one of the given options is appropriate to fill the blank?
GATE EE - 2024
GATE EE
General Aptitude
Sequence and Series
Let \(P\) be the partial order defined on the set \(\{1, 2, 3, 4\}\) as follows:
\[ P = \{(x, x) \mid x \in \{1, 2, 3, 4\}\} \cup \{(1, 2), (3, 2), (3, 4)\} \]
The number of total orders on \(\{1, 2, 3, 4\}\) that contain \(P\) is ...........\_\_\_.
GATE CS - 2024
GATE CS
General Aptitude
Data Interpretation
Let \( A \) be the adjacency matrix of a simple undirected graph \( G \). Suppose \( A \) is its own inverse. Which one of the following statements is always TRUE?
GATE CS - 2024
GATE CS
General Aptitude
Data Interpretation
When six unbiased dice are rolled simultaneously, the probability of getting all distinct numbers (i.e., \( 1, 2, 3, 4, 5, \) and \( 6 \)) is
GATE CS - 2024
GATE CS
General Aptitude
Data Interpretation
Let \(p\) and \(q\) be the following propositions:
\(p\): Fail grade can be given.
\(q\): Student scores more than \(50\%\) marks.
Consider the statement: “Fail grade cannot be given when student scores more than \(50\%\) marks.”
Which one of the following is the CORRECT representation of the above statement in propositional logic?
GATE CS - 2024
GATE CS
General Aptitude
Mathematical Logic
In the \(4 \times 4\) array shown below, each cell of the first three rows has either a cross (X) or a number.
\[ \begin{array}{|c|c|c|c|} \hline 1 & X & 4 & 3
\hline X & 5 & 5 & 4
\hline 3 & X & 6 & X
\hline ? & ? & ? & ?
\hline \end{array} \]
The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row is:
GATE CS - 2024
GATE CS
General Aptitude
Mathematical Logic
A person sold two different items at the same price. He made 10\% profit in one item, and 10\% loss in the other item. In selling these two items, the person made a total of:
GATE CS - 2024
GATE CS
General Aptitude
Profit and Loss
The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023.
\begin{center} \includegraphics[width=10cm]{8.png} \end{center}
The renewable sources of electricity generation consist of Hydro, Solar, and Wind. Assuming that the total electricity generated remains the same from 2007 to 2023, what is the percentage increase in the share of the renewable sources of electricity generation over this period?
GATE CS - 2024
GATE CS
General Aptitude
Mathematical Logic
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