List of top General Aptitude Questions on Mathematical Logic asked in GATE EE

\(P\) 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?
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:
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.
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}
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}
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}
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:
Which one of the following matrices has an inverse?
The number of junctions in the circuit is:
\includegraphics[width=0.5\linewidth]{13.png}
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}
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 \( y(t) \)?