NIMCET Distance And Direction Previous Year Questions (PYQs) – Page 1 of 2
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Showing 17 questions
If the direction North-East becomes South-East how will other directions change?
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Solution
NE shifts to SE → meaning directions rotate 90° clockwise.
Apply 90° clockwise:
North-West → West → South-West → South → South-East → East → North-East → North
We look at options:
North-West → East? No (NW → West).
South → South-West? No (South → South-East).
West → North? No (West → North). Wait — check:
West rotated 90° clockwise = North → correct.
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
If K is parallel to I, K is 1/2 km South of J and 1 km North of G, then which of the following two roads would be 1/2 km apart?
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Solution
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
Which of the following possibilities are true?
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Solution
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
If road E is between B and C, then the distance between A and D is
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Solution
A man starts walking towards south. After walking 5 km he again turns left at right angles. In what direction is he finally walking?
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Solution
Initial direction: South
Left turn from South → East
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
If E is between B and C, then which of the following is false?
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Solution
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
Which of the following is necessarily true?
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Solution
A cyclist goes 30 km North and then turning East he goes 40 km. Again he turns right and goes 20 km. After this he turns to his right and goes 40 km. How far is he from his starting point?
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Solution
Path:
• 30 km North
• 40 km East
• 20 km South → net North = 30 − 20 = 10
• 40 km West → cancels all East
Net displacement = 10 km North
Rishabh stops after going 10 Km towards west from
his office. Then he goes 8 Km turning to his left.
After this he goes 4 Km turning to his left. How far is
he from the fixed point?
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Solution
Start from office (fixed point).
Move 10 km west.
Left from west = south → move 8 km south.
Left from south = east → move 4 km east.
Net west movement = 10 − 4 = 6 km (west).
Net south movement = 8 km (south).
Distance from office = √(62 + 82)
= √(36 + 64) = √100 = 10 km
Answer: 10 km
Gopal starts from his house towards West. After walking a distance of 30 meters, he turned
towards right and walked 20 meters. He turned left and after moving a distance of 10 meters,
turned to his left again and walked 40 meters. He then turned left and walked 5 meters. Finally,
he turns to his left. In which direction is he walking now?
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Solution
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