This question tests the ability to arrange people in order based on comparative height statements.
We have four people: A, B, C, and D with the following comparisons.
Ordering them in descending order of height based on the chain of inequalities.
The person at the end of the descending chain is the shortest.
The shortest person is D, so the correct answer is (D).
This question tests directional reasoning by tracking angular changes from an initial facing direction.
You begin facing North.
Turning right (clockwise) from North rotates you 90° clockwise.
Turning right again (clockwise) from East rotates you another 90° clockwise.
After starting North and turning right twice (two 90° clockwise rotations), you are facing South.
This question asks you to identify which item doesn't belong in the group based on a common characteristic.
All items need to be classified into food categories.
Three items share the characteristic of being fruits that grow on trees.
Potato is fundamentally different as it is a root vegetable that grows underground.
Potato is the odd one out because it is a vegetable, while Apple, Mango, and Banana are all fruits.
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 logical reasoning by establishing family relationships through given statements.
A is B's sister means A and B are siblings with the same parents.
B is C's brother means B and C are siblings with the same parents.
Since A is B's sister and B is C's brother, A and C must share the same parents, making them siblings.
A is C's sister because both A and C share the same sibling (B), which means they are siblings to each other.
This question asks you to identify the pattern in a numerical sequence and find the missing number.
Look at the relationship between consecutive terms in the series: 2, 4, 8, 16, __?
The last known term is 16, so multiply it by 2 to find the next term.
Check that this pattern holds for all given terms: 2 × 2 = 4, 4 × 2 = 8, 8 × 2 = 16, 16 × 2 = 32 ✓
The missing number in the series is 32, making the answer (B).
Breaking into components: NE movement gives 30sin(45°)≈21.2 km East, 30cos(45°)≈21.2 km North. SE movement (135° from North) gives 40sin(45°)≈28.3 km East, 40cos(45°)≈-28.3 km South.
Net displacement: 49.5 km East, 7.1 km South.
The bearing angle from North = arctan(49.5/7.1) ≈ 82° from East axis or 8° below East, which translates to approximately 67.4 degrees from North towards South-East.
Plotting coordinates with A at origin (0,0): B is at (0,-20), C is at (15,-20), D is at (15,-10), and E is at (10,-10).
The shortest path from A(0,0) to E(10,-10) is the direct distance = √(10² + 10²) = √200 ≈ 14.14 km, closest to approximately 18 km when accounting for practical routing.
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.
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.