Direction Test Questions and Answers – Page 2

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 19 m West. In which direction and at what shortest distance is the person from O?” is South-West, 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 7 m East and 19 m West, so net x = 7 - 19 = -12 m. Vertical calculation: the person moves 7 m North and 12 m South, so net y = 7 - 12 = -5 m. The signs of (-12, -5) place the final point in the South-West direction. The shortest distance is straight-line displacement: √((-12)² + (-5)²) = √(144 + 25) = √169 = 13 m. Therefore option D, South-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 West option is wrong because both non-zero coordinate components, or the exact zero component, determine South-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 South-West, 13 m. The alternatives North-East, 13 m, South-West, 17 m and West, 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 6 m North, then 6 m East, then 11 m South, and finally 18 m West. In which direction and at what shortest distance is the person from O?” is South-West, 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 6 m East and 18 m West, so net x = 6 - 18 = -12 m. Vertical calculation: the person moves 6 m North and 11 m South, so net y = 6 - 11 = -5 m. The signs of (-12, -5) place the final point in the South-West direction. The shortest distance is straight-line displacement: √((-12)² + (-5)²) = √(144 + 25) = √169 = 13 m. Therefore option C, South-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 West option is wrong because both non-zero coordinate components, or the exact zero component, determine South-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 South-West, 13 m. The alternatives North-East, 13 m, South-West, 17 m and West, 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 6 m North, then 6 m East, then 18 m South, and finally 11 m West. In which direction and at what shortest distance is the person from O?” is South-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 6 m North and 18 m South, so net y = 6 - 18 = -12 m. The signs of (-5, -12) place the final point in the South-West direction. The shortest distance is straight-line displacement: √((-5)² + (-12)²) = √(25 + 144) = √169 = 13 m. Therefore option B, South-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 West option is wrong because both non-zero coordinate components, or the exact zero component, determine South-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 South-West, 13 m. The alternatives North-East, 13 m, South-West, 17 m and West, 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 5 m North, then 5 m East, then 17 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 17 m South, so net y = 5 - 17 = -12 m. The signs of (-5, -12) place the final point in the South-West direction. The shortest distance is straight-line displacement: √((-5)² + (-12)²) = √(25 + 144) = √169 = 13 m. Therefore option A, South-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 West option is wrong because both non-zero coordinate components, or the exact zero component, determine South-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 South-West, 13 m. The alternatives North-East, 13 m, South-West, 17 m and West, 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 5 m North, then 17 m East, then 10 m South, and finally 5 m West. In which direction and at what shortest distance is the person from O?” is South-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 5 m North and 10 m South, so net y = 5 - 10 = -5 m. The signs of (12, -5) place the final point in the South-East direction. The shortest distance is straight-line displacement: √((12)² + (-5)²) = √(144 + 25) = √169 = 13 m. Therefore option D, South-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 South option is wrong because both non-zero coordinate components, or the exact zero component, determine South-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 South-East, 13 m. The alternatives North-West, 13 m, South-East, 17 m and South, 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 4 m North, then 16 m East, then 9 m South, and finally 4 m West. In which direction and at what shortest distance is the person from O?” is South-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 4 m North and 9 m South, so net y = 4 - 9 = -5 m. The signs of (12, -5) place the final point in the South-East direction. The shortest distance is straight-line displacement: √((12)² + (-5)²) = √(144 + 25) = √169 = 13 m. Therefore option C, South-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 South option is wrong because both non-zero coordinate components, or the exact zero component, determine South-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 South-East, 13 m. The alternatives North-West, 13 m, South-East, 17 m and South, 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 4 m North, then 9 m East, then 16 m South, and finally 4 m West. In which direction and at what shortest distance is the person from O?” is South-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 4 m North and 16 m South, so net y = 4 - 16 = -12 m. The signs of (5, -12) place the final point in the South-East direction. The shortest distance is straight-line displacement: √((5)² + (-12)²) = √(25 + 144) = √169 = 13 m. Therefore option B, South-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 South option is wrong because both non-zero coordinate components, or the exact zero component, determine South-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 South-East, 13 m. The alternatives North-West, 13 m, South-East, 17 m and South, 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 3 m North, then 8 m East, then 15 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 3 m North and 15 m South, so net y = 3 - 15 = -12 m. The signs of (5, -12) place the final point in the South-East direction. The shortest distance is straight-line displacement: √((5)² + (-12)²) = √(25 + 144) = √169 = 13 m. Therefore option A, South-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 South option is wrong because both non-zero coordinate components, or the exact zero component, determine South-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 South-East, 13 m. The alternatives North-West, 13 m, South-East, 17 m and South, 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 12 m North, then 7 m East, then 7 m South, and finally 19 m West. In which direction and at what shortest distance is the person from O?” is North-West, 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 7 m East and 19 m West, so net x = 7 - 19 = -12 m. Vertical calculation: the person moves 12 m North and 7 m South, so net y = 12 - 7 = 5 m. The signs of (-12, 5) place the final point in the North-West direction. The shortest distance is straight-line displacement: √((-12)² + (5)²) = √(144 + 25) = √169 = 13 m. Therefore option D, 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 11 m North, then 6 m East, then 6 m South, and finally 18 m West. In which direction and at what shortest distance is the person from O?” is North-West, 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 6 m East and 18 m West, so net x = 6 - 18 = -12 m. Vertical calculation: the person moves 11 m North and 6 m South, so net y = 11 - 6 = 5 m. The signs of (-12, 5) place the final point in the North-West direction. The shortest distance is straight-line displacement: √((-12)² + (5)²) = √(144 + 25) = √169 = 13 m. Therefore option C, 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.