Starting at origin (0, 0), walking 5 km South gives position (0, -5), then 9 km North gives displacement of -5 + 9 = 4 km North.
Walking 12 km West gives position (-12, 4), then 7 km East gives displacement of -12 + 7 = -5 km (or 5 km West).
The final position is 5 km West and 4 km North of the starting point. Since the person is West and North of the origin, the direction is North-West.
The person is now in the North-West direction with respect to the starting point, not South-West as given in option A. However, if the answer key states South-West, there may be an error in either the problem statement or the provided answer.
Tracking Amit's movements: Starting North, he goes 10 km North; turns right (East) and walks 5 km; turns left (North) and walks 8 km; turns right (East) and walks 3 km.
His net displacement is 8 km North and 8 km East (5+3), placing point B in the North-East direction from point A.
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).
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 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 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 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 involves finding A's age using the given relationships between the ages of three people.
We know C = 10 and B is twice C's age.
We know A is 2 years older than B.
Check: C = 10, B = 2 × 10 = 20, A = 20 + 2 = 22 ✓
A's age is 22 years, making the correct answer B) 22.
This question asks us to identify the pattern in a sequence of numbers and find the missing term.
Look at each term and find what they represent.
Each term is a perfect square of consecutive natural numbers.
The next number in the sequence follows the pattern with n = 6.
The missing term in the sequence is 36, making the answer (B).
A is 3rd from left. B is 2 positions right of A = 5th position. C is immediately left of B = 4th position.