Direction Test Questions and Answers – Page 3

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 18 m North, then 6 m East, then 6 m South, and finally 11 m West. In which direction and at what shortest distance is the person from O?” is North-West, 13 m, option B. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 6 m East and 11 m West, so net x = 6 - 11 = -5 m. Vertical calculation: the person moves 18 m North and 6 m South, so net y = 18 - 6 = 12 m. The signs of (-5, 12) place the final point in the North-West direction. The shortest distance is straight-line displacement: √((-5)² + (12)²) = √(25 + 144) = √169 = 13 m. Therefore option B, North-West, 13 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 17 m is wrong because it does not use the Pythagorean shortest distance. The North option is wrong because both non-zero coordinate components, or the exact zero component, determine North-West, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is North-West, 13 m. The alternatives South-East, 13 m, North-West, 17 m and North, 13 m fail because each breaks at least one stated condition, transition, direction or arithmetic step.

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 17 m North, then 5 m East, then 5 m South, and finally 10 m West. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 5 m East and 10 m West, so net x = 5 - 10 = -5 m. Vertical calculation: the person moves 17 m North and 5 m South, so net y = 17 - 5 = 12 m. The signs of (-5, 12) place the final point in the North-West direction. The shortest distance is straight-line displacement: √((-5)² + (12)²) = √(25 + 144) = √169 = 13 m. Therefore option A, North-West, 13 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 17 m is wrong because it does not use the Pythagorean shortest distance. The North option is wrong because both non-zero coordinate components, or the exact zero component, determine North-West, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is North-West, 13 m. The alternatives South-East, 13 m, North-West, 17 m and North, 13 m fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete direction-distance map.

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 10 m North, then 17 m East, then 5 m South, and finally 5 m West. In which direction and at what shortest distance is the person from O?” is North-East, 13 m, option D. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 17 m East and 5 m West, so net x = 17 - 5 = 12 m. Vertical calculation: the person moves 10 m North and 5 m South, so net y = 10 - 5 = 5 m. The signs of (12, 5) place the final point in the North-East direction. The shortest distance is straight-line displacement: √((12)² + (5)²) = √(144 + 25) = √169 = 13 m. Therefore option D, North-East, 13 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 17 m is wrong because it does not use the Pythagorean shortest distance. The East option is wrong because both non-zero coordinate components, or the exact zero component, determine North-East, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is North-East, 13 m. The alternatives South-West, 13 m, North-East, 17 m and East, 13 m fail because each breaks at least one stated condition, transition, direction or arithmetic step.

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 9 m North, then 16 m East, then 4 m South, and finally 4 m West. In which direction and at what shortest distance is the person from O?” is North-East, 13 m, option C. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 16 m East and 4 m West, so net x = 16 - 4 = 12 m. Vertical calculation: the person moves 9 m North and 4 m South, so net y = 9 - 4 = 5 m. The signs of (12, 5) place the final point in the North-East direction. The shortest distance is straight-line displacement: √((12)² + (5)²) = √(144 + 25) = √169 = 13 m. Therefore option C, North-East, 13 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 17 m is wrong because it does not use the Pythagorean shortest distance. The East option is wrong because both non-zero coordinate components, or the exact zero component, determine North-East, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is North-East, 13 m. The alternatives South-West, 13 m, North-East, 17 m and East, 13 m fail because each breaks at least one stated condition, transition, direction or arithmetic step.

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 16 m North, then 9 m East, then 4 m South, and finally 4 m West. In which direction and at what shortest distance is the person from O?” is North-East, 13 m, option B. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 9 m East and 4 m West, so net x = 9 - 4 = 5 m. Vertical calculation: the person moves 16 m North and 4 m South, so net y = 16 - 4 = 12 m. The signs of (5, 12) place the final point in the North-East direction. The shortest distance is straight-line displacement: √((5)² + (12)²) = √(25 + 144) = √169 = 13 m. Therefore option B, North-East, 13 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 17 m is wrong because it does not use the Pythagorean shortest distance. The East option is wrong because both non-zero coordinate components, or the exact zero component, determine North-East, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is North-East, 13 m. The alternatives South-West, 13 m, North-East, 17 m and East, 13 m fail because each breaks at least one stated condition, transition, direction or arithmetic step.

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 15 m North, then 8 m East, then 3 m South, and finally 3 m West. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 8 m East and 3 m West, so net x = 8 - 3 = 5 m. Vertical calculation: the person moves 15 m North and 3 m South, so net y = 15 - 3 = 12 m. The signs of (5, 12) place the final point in the North-East direction. The shortest distance is straight-line displacement: √((5)² + (12)²) = √(25 + 144) = √169 = 13 m. Therefore option A, North-East, 13 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 17 m is wrong because it does not use the Pythagorean shortest distance. The East option is wrong because both non-zero coordinate components, or the exact zero component, determine North-East, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is North-East, 13 m. The alternatives South-West, 13 m, North-East, 17 m and East, 13 m fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete direction-distance map.

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 7 m North, then 7 m East, then 12 m South, and finally 7 m West. In which direction and at what shortest distance is the person from O?” is South, 5 m, option D. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 7 m East and 7 m West, so net x = 7 - 7 = 0 m. Vertical calculation: the person moves 7 m North and 12 m South, so net y = 7 - 12 = -5 m. The signs of (0, -5) place the final point in the South direction. The shortest distance is straight-line displacement: √((0)² + (-5)²) = √(0 + 25) = √25 = 5 m. Therefore option D, South, 5 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 7 m is wrong because it does not use the Pythagorean shortest distance. The South-West option is wrong because both non-zero coordinate components, or the exact zero component, determine South, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is South, 5 m. The alternatives North, 5 m, South, 7 m and South-West, 5 m fail because each breaks at least one stated condition, transition, direction or arithmetic step.

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 6 m North, then 6 m East, then 11 m South, and finally 6 m West. In which direction and at what shortest distance is the person from O?” is South, 5 m, option C. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 6 m East and 6 m West, so net x = 6 - 6 = 0 m. Vertical calculation: the person moves 6 m North and 11 m South, so net y = 6 - 11 = -5 m. The signs of (0, -5) place the final point in the South direction. The shortest distance is straight-line displacement: √((0)² + (-5)²) = √(0 + 25) = √25 = 5 m. Therefore option C, South, 5 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 7 m is wrong because it does not use the Pythagorean shortest distance. The South-West option is wrong because both non-zero coordinate components, or the exact zero component, determine South, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is South, 5 m. The alternatives North, 5 m, South, 7 m and South-West, 5 m fail because each breaks at least one stated condition, transition, direction or arithmetic step.

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 6 m North, then 6 m East, then 6 m South, and finally 11 m West. In which direction and at what shortest distance is the person from O?” is West, 5 m, option B. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 6 m East and 11 m West, so net x = 6 - 11 = -5 m. Vertical calculation: the person moves 6 m North and 6 m South, so net y = 6 - 6 = 0 m. The signs of (-5, 0) place the final point in the West direction. The shortest distance is straight-line displacement: √((-5)² + (0)²) = √(25 + 0) = √25 = 5 m. Therefore option B, West, 5 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 7 m is wrong because it does not use the Pythagorean shortest distance. The North-West option is wrong because both non-zero coordinate components, or the exact zero component, determine West, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is West, 5 m. The alternatives East, 5 m, West, 7 m and North-West, 5 m fail because each breaks at least one stated condition, transition, direction or arithmetic step.

The verified answer to “Solve this Direction Test question: A person starts from point O, walks 5 m North, then 5 m East, then 5 m South, and finally 10 m West. The question-specific working supplied with the item states: Use coordinates with O = (0, 0), East as positive x and North as positive y. Horizontal calculation: the person moves 5 m East and 10 m West, so net x = 5 - 10 = -5 m. Vertical calculation: the person moves 5 m North and 5 m South, so net y = 5 - 5 = 0 m. The signs of (-5, 0) place the final point in the West direction. The shortest distance is straight-line displacement: √((-5)² + (0)²) = √(25 + 0) = √25 = 5 m. Therefore option A, West, 5 m, is correct. The opposite-direction option is wrong because it reverses the verified coordinate signs. The option giving 7 m is wrong because it does not use the Pythagorean shortest distance. The North-West option is wrong because both non-zero coordinate components, or the exact zero component, determine West, not a neighbouring compass direction. This working identifies the relevant direction-distance map and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is West, 5 m. The alternatives East, 5 m, West, 7 m and North-West, 5 m fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete direction-distance map.