Let point A be at origin (0, 0). North is positive y-direction, East is positive x-direction.

Starting position: (0, 0)

- Walks 10 km North: position becomes (0, 10)

- Turns right (now facing East) and walks 15 km: position becomes (15, 10)

- Turns left (now facing North) and walks 8 km: position becomes (15, 18)

- Turns right (now facing East) and walks 12 km: position becomes (27, 18)

The net displacement is the straight-line distance from point A to point B using the Pythagorean theorem.

Find the angle from North towards East using trigonometry.

This means the displacement is approximately 56.3° East of

Priya starts facing North. She turns 90° clockwise.

From East, she turns 45° counter-clockwise, then 135° clockwise.

From South, she turns 90° counter-clockwise.

Priya is now facing East, not South. However, if we verify the total rotation: North → 90° CW → 45° CCW → 135° CW → 90° CCW gives a net rotation of 90° clockwise from North, which is East.

Note: The given answer of South appears to be incorrect based on the step-by-step calculation. The correct answer should be East.

Since R reaches Q's position by walking 10 meters North and 5 meters East, this means R was initially 10 meters South of Q and 5 meters West of Q.

Given Q is West of P and they're in a line, P is East of Q.

Therefore, P is 10 meters North of R in the North-South direction.

The person's final position relative to origin is: North (4-5+1=0), West (3-2=1).

His current facing direction remains North.

Turning 45 degrees clockwise from North results in facing North-East direction.

This question asks you to identify the pattern in the sequence and find the next number.

Calculate the first differences between each pair of adjacent numbers.

The first differences form their own sequence: 3, 5, 7, 9.

The next difference should be 9 + 2 = 11, so add this to the last term.

The next number in the series is 38, making the answer (B).

This question tests pattern recognition by finding the cipher rule that transforms letters in a word.

Each letter shifts by a consistent number of positions in the alphabet.

Each letter in DOOR shifts forward by 1 position in the alphabet.

Combining all shifted letters in sequence.

The answer is (A) EPPS, as each letter in DOOR shifts forward by exactly one position in the alphabet.

This question tests logical reasoning through categorical statements and syllogisms.

We have two premises: (1) All roses are flowers, and (2) Some flowers fade.

Since only "some" flowers fade (not all), we cannot conclude that all roses fade. However, roses ARE flowers, so roses could potentially be part of the group that fades.

- (A) "All roses fade" — Too strong; we only know some flowers fade, not all

- (C) "No roses fade" — Contradicts the fact that some flowers fade

- (D) "Roses never fade" — Same as (C); impossible to conclude

**The correct answer is (B) Some roses may fade, because while

This question tests logical deduction using set theory and Venn diagrams to determine if a conclusion necessarily follows from given statements.

We have three sets: Pens, Books, and Tables. The first statement "Some pens are books" means there is an intersection between the Pens set and Books set.

The statement "All books are tables" means every element in the Books set is also in the Tables set, so Books is a subset of Tables.

Since some pens are books (Step 1) AND all books are tables (Step 2), any pen that is a book must also be a table. Therefore, some pens must be tables.

**The conclusion "Some pens are tables" is logically True because any pen belonging to the Books set must also belong to the Tables set, given that all books

This question tests your ability to identify the pattern in a sequence of letters.

Convert each letter to its numerical position where A=1, B=2, C=3, and so on.

Calculate the difference between consecutive numbers in the sequence.

The differences increase by 1 each time (2, 3, 4, 5...), so the next difference should be 6.

The next letter in the sequence is U, making the correct answer (B).

This question tests the ability to track position changes on a coordinate system and calculate the straight-line distance from the starting point.

Let P start at the origin point (0, 0), with North as positive Y-axis and East as positive X-axis.

After walking 5 km North, then 3 km East, then 5 km South, the vertical movements cancel out and only the eastward movement remains.

Use the distance formula to find the straight-line distance between the starting point (0, 0) and final position (3, 0).

The distance from the starting point is 3 km.