Marks 1
The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures P, Q, R, or S fits the missing portion indicated by '?' and completes the oval and the two triangles?
Which one of the following figures $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, or S , correctly shows the $45^{\circ}$ clockwise-rotated version of figure (I)?
Each row of Column-I has three items and each item is represented by a circle in ColumnII. The arrangement of circles in Column-II represents the relationship among the items in Column-I.
Identify the option that has the most appropriate match between Column-I and ColumnII.
Note: The figure shown are representative.
P and Q have been allotted a hostel room with two beds, a study table, and an almirah. P is an avid bird-watcher and wants to sit at the table and watch birds outside the window. Q does not mind that as long as his bed is close to the ceiling fan.
Which one of the following arrangements suits them the most?
Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that surprisingly none of the students from the Department of Human Sciences had completed the registration process.
Based only on the information provided above, which one of the following sets of statements can be logically inferred with certainty?
(i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences.
(ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time.
(iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.
$$ \text { A transparent square sheet shown below is folded along the dotted line. The folded sheet will look like. } $$
Marks 2
Based on the relationship between each polygon and the number inside it, the value of ' $X$ ' is $\_\_\_\_$
Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, the states of the bulbs are changed based on the following rules:
Any OFF bulb with exactly one ON neighbor at the end of the previous Step is turned ON.
Any ON bulb with both neighbors ON at the end of the previous Step is turned OFF.
The state of any bulb not meeting the conditions above is left unchanged.
The state of bulbs at the end of Step 1 and Step 2 are also shown in the figure.
The number of bulbs which are ON at the end of Step 8 is $\_\_\_\_$
In the given figure, EF and HJ are coded as 30 and 80, respectively. Which one among the given options is most appropriate for the entires marked (i) and (ii)?
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 (←) or the right (→) direction.
If the object A (Rack) is translating towards the right (→) direction, the correct statement among the following is
Seven Cars $P, Q, R, S, T, U$ and $V$ are parked in a row not necessarily in that order. The cars $T$ and $U$ should be parked next to each other. The cars $S$ and $V$ also should be parked next to each other, whereas $P$ and $Q$ can't be parked next to each other. $Q$ and $S$ must be parked next to each other. $R$ is parked to the immediate right of $\mathrm{V} . \mathrm{T}$ is parked to the left of U .
Based on the above statements, the only incorrect option given below is