Numerical Relations and Analogies - Logic - General Aptitude (GA) Previous Year Questions

Match the names listed in Group I with its attributes listed in Group II.

In the 4 × 4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule.
\[ \begin{array}{|c|c|c|c|} \hline 1 & 1 & 2 & \\ \hline 2 & X & 3 & \\ \hline 2 & X & 4 & \\ \hline 1 & 2 & X & \\ \hline \end{array} \]
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

Five numbers 10, 7, 5, 4 and 2 are to be arranged in a sequence from left to right following the directions given below.
1. No two odd or even numbers are next to each other.
2. The second number from the left is exactly half of the left-most number.
3. The middle number is exactly twice the right-most number.
Which is the second number from the right?

Oasis is to sand as island is to __________. Which one of the following options maintains a similar logical relation in the above sentence?

A coin with heads facing up is shown as \( \textcircled{H} \) and a coin with tails facing up is shown as \( \textcircled{T} \).
Six coins are placed in the Starting Arrangement, as shown in the figure below.
A “step” is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is ______.