List of top Quantitative Aptitude Questions asked in GATE Geology and Geophysics

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
In the $4\times 4$ array shown, each cell of the first three columns has either a cross (X) or a number as per the rule:
\includegraphics[width=0.5\linewidth]{2.png} A number equals the count of crosses in its $8$ neighboring cells (left, right, top, bottom, and diagonals). The fourth column is empty. As per this rule, the \emph{maximum} number of crosses possible in the empty column is
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?}
The chart compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in 1000 hours. The Capacity Factor of a technology is defined as:
\includegraphics[width=0.5\linewidth]{1.png} \[ \text{Capacity Factor} = \frac{\text{Electricity Generation (MWh)}}{\text{Installed Capacity (MW)} \times 1000 \; (h)} \] Which one of the given technologies has the highest Capacity Factor?

Ankita has to climb 5 stairs starting at the ground, while respecting the following rules: 1. At any stage, Ankita can move either one or two stairs up. 2. At any stage, Ankita cannot move to a lower step. Let \(F(N)\) denote the number of possible ways in which Ankita can reach the \(N^{th}\) stair. For example, \(F(1) = 1\), \(F(2) = 2\), \(F(3) = 3\). The value of \(F(5)\) is \(\underline{\hspace{1cm}}\).

An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible? 

In the given diagram, ovals are marked at different heights \((h)\) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?

A 'frabjous' number is defined as a 3-digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?
Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?