General Mental Ability

In the following question, three of the four letter-clusters follow a specific logical pattern based on their alphabetical positions and thus form a group. Which of the following letter-clusters does NOT belong to that group?

A mechanical watch, which gains time at a continuous and uniform rate, is observed to be exactly 5 minutes slow at 8:00 AM on a Sunday. By 8:00 AM on the immediately following Tuesday, the same watch is exactly 7 minutes fast. How many hours after 8:00 AM on that Sunday did the watch display the true, correct time?

A group of students is standing in a single straight row facing South. Arjun is $26^{\text{th}}$ from the left end of the row, and Bhavya is $19^{\text{th}}$ from the right end of the row. When Arjun shifts $7$ places towards his left, he exactly occupies the middle position of the row. What is Bhavya's position from the left end of the row?

Five startup companies—Solaris, Terra, Umbra, Vesta, and Wyvern—are being ranked by their market valuation from highest to lowest. Based on the following information, arrange the companies in the correct order from highest valuation (top) to lowest valuation (bottom):

1. Umbra is valued higher than both Vesta and Wyvern.
2. Terra is valued lower than Solaris but higher than Umbra.
3. Wyvern is not the lowest valued company.

A solar energy farm has a continuous linear array of $105$ solar panels. Panel Sigma is currently positioned $43^{\text{rd}}$ from the left end of the array. Due to a localized upgrade project, the first $18$ panels from the left end and the last $24$ panels from the right end are temporarily removed from the array. In the newly formed, shorter array of remaining panels, what is the position of Panel Sigma from the right end?

A standard six-sided die (where the sum of the numbers on any pair of opposite faces is exactly $7$) is placed on a flat table. In its initial position, the number $4$ is on the top face, the number $2$ is on the front face (facing you), and the number $1$ is on the right face.

The die is then rolled $90^\circ$ over its edges along the table in the following sequence:
1. Rolled to the Right (East).
2. Rolled Forward (North, away from you).
3. Rolled to the Right (East).
4. Rolled Backward (South, towards you).

What number will be on the top face of the die in its final position?

In a processing queue of a mainframe computer, Job Alpha is positioned $28^{\text{th}}$ from the front of the queue, and Job Beta is positioned $34^{\text{th}}$ from the back of the queue. If there are exactly $12$ jobs currently waiting between Job Alpha and Job Beta, what is the minimum possible total number of jobs in this queue?

In a straight row of cadets facing North for a morning assembly, Cadet Marcus is standing $15^{\text{th}}$ from the left end and Cadet Victor is standing $28^{\text{th}}$ from the right end. If they interchange their positions, Cadet Marcus becomes $35^{\text{th}}$ from the left end. What is Cadet Victor's new position from the right end?

Eight friends—S, T, U, V, W, X, Y, and Z—are sitting in a straight line facing North.

- V sits fourth to the left of W.
- W sits at one of the extreme ends of the line.
- Only two people sit between V and X.
- Y sits third to the right of S.
- S is not an immediate neighbor of V.
- Z sits to the immediate left of T.

Which of the following statements are correct?

Three different positions of the same die are shown below. The six faces of the die are marked with the Greek letters $\alpha, \beta, \gamma, \delta, \epsilon$, and $\zeta$.

- Position 1: Top is $\alpha$, Front is $\beta$, Right is $\delta$
- Position 2: Top is $\beta$, Front is $\gamma$, Right is $\delta$
- Position 3: Top is $\beta$, Front is $\alpha$, Right is $\zeta$

Based on the given positions, which letter is on the face opposite to $\delta$?

Six professionals — P, Q, R, S, T, and U — sit around a circular table, with some facing the center and others facing outward. Q faces the center. P sits second to the right of Q. U is not an immediate neighbor of Q, and T sits to the immediate right of U. R sits to the immediate left of P. S sits second to the right of R. P and R face the same direction, while U and P face opposite directions. The immediate neighbors of T face the same direction. Finally, S and T face the same direction as Q.

Based on the given information, who sits to the immediate right of P?

Eight delegates—J, K, L, M, N, O, P, and Q—are seated in two parallel rows containing four people each, such that there is an equal distance between adjacent persons.

In Row-1, J, K, L, and M are seated and all of them are facing South.
In Row-2, N, O, P, and Q are seated and all of them are facing North.
Each member seated in a row faces another member of the other row.

• N sits second to the right of O.
• The person facing N sits to the immediate right of M.
• The person facing L sits to the immediate left of N.
• J is an immediate neighbor of L but does not face O.
• Q does not sit at an extreme end of the row.

Based on the given seating arrangement, which of the following statements are correct? (Select all that apply)

Seven chefs—A, B, C, D, E, F, and G—are participating in a culinary competition. They are seated in a single straight row facing North for a tasting session.

- C sits third to the right of the person seated at the extreme left end.
- E sits exactly between A and F.
- F does not sit at either of the extreme ends.
- G sits second to the left of B.
- B is not an immediate neighbor of C.

Based on this arrangement, what is the position of F with respect to G?

A large solid cube of side length $6 \text{ cm}$ has its opposite faces painted with the same color. The colors used are red, blue, and yellow. After the paint dries, the large cube is completely cut into smaller cubes of side length $1 \text{ cm}$ each. How many of these smaller cubes will have exactly two faces painted, with one face being red and the other face being yellow?

Six astronauts—Aldrin, Collins, Glenn, Jemison, Ride, and Shepard—are seated in a single straight row facing the main presentation screen (North) during a mission briefing.

Based on the following conditions, arrange the astronauts in their correct seating order from the leftmost position to the rightmost position:

- Jemison sits third to the right of Collins.
- Ride sits at one of the extreme ends of the row.
- Aldrin sits immediately next to Ride, but is not adjacent to Jemison.
- Shepard sits to the immediate left of Glenn.

Arrange the astronauts in order from Position 1 (far left) to Position 6 (far right).

Seven investors—M, N, O, P, Q, R, and S—are sitting around a circular table for a portfolio review. All of them are facing away from the center of the table.

1. S sits second to the right of R.
2. M sits third to the left of R.
3. O sits to the immediate left of M.
4. P sits exactly between R and S.
5. Q is an immediate neighbor of N, but Q is not an immediate neighbor of M.

What is the position of Q with respect to R?

Seven colleagues—T, U, V, W, X, Y, and Z—are seated in a straight line. Some of them are facing North while others are facing South.

- T sits exactly in the middle of the line and faces North.
- W sits second to the left of T.
- U sits third to the right of W.
- Only one person sits between U and X.
- Y sits to the immediate right of X.
- V sits third to the right of Y.
- The immediate neighbors of T face opposite directions (i.e., if one faces North, the other faces South, and vice versa).
- Persons sitting at the extreme ends of the line face opposite directions.
- Z and U face the same direction, which is opposite to the direction faced by V.

Based on the given seating arrangement, which of the following statements are correct?

Analyze the numerical progression below to determine the rule governing the sequence. What is the value of the missing term that completes the series?

In a given letter-analogy pattern, $\text{CAT}$ is related to $\text{FDW}$ following a constant positional shift rule. Following the exact same logical rule, which of the following letter-groups replaces the question mark in $\text{DOG} : \text{?}$?

In a technology seminar attended by $60$ software engineers, $35$ engineers know Python and $25$ engineers know Java. If $10$ engineers know both Python and Java, how many engineers know neither of these two programming languages?