MCA NIMCET Distance and Direction Previous Year Question Paper and Solution with PDF

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MCA NIMCET Previous Year Questions (PYQs)

MCA NIMCET Distance And Direction PYQ

Qus : 1 MCA NIMCET PYQ

If the direction North-East becomes South-East how will other directions change?

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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2010 PYQ

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.

Qus : 2 MCA NIMCET PYQ

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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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2014 PYQ

Solution

Qus : 3 MCA NIMCET PYQ

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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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2014 PYQ

Solution

Qus : 4 MCA NIMCET PYQ

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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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2014 PYQ

Solution

Qus : 5 MCA NIMCET PYQ

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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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2010 PYQ

Solution

Initial direction: South

Left turn from South → East

Qus : 6 MCA NIMCET PYQ

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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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2014 PYQ

Solution

Qus : 7 MCA NIMCET PYQ

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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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2014 PYQ

Solution

Qus : 8 MCA NIMCET PYQ

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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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2010 PYQ

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

Qus : 9 MCA NIMCET PYQ

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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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2020 PYQ

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

Qus : 10 MCA NIMCET PYQ

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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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2015 PYQ

Solution

Qus : 11 MCA NIMCET PYQ

Two friends A and B were standing at the diagonally opposite corners of a rectangular plot whose perimeter is 100m. A first walked x meters along the length of the plot towards East and then y meters towards the South. B walked x meters along the breadth towards North and then y meters towards West. At the end of their walks, A and B were standing at the diagonally opposite corners of a smaller rectangular plot whose perimeter is 40m. How much distance did A walk?

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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2023 PYQ

Solution

Qus : 12 MCA NIMCET PYQ

Deepa moved a distance of 75 metres towards the north. She then turned to the left and after walking for about 25 metres, turned left again and walked 80 metres. Finally, she turned to the right at an angle of 45°. In which direction was she moving finally?

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MCA NIMCET Previous Year PYQ MCA NIMCET NIMCET 2023 PYQ

A person walks $8$ km north.

Position: $(0,\,8)$

He turns right (east) and walks $4$ km.

Position: $(4,\,8)$

He turns right again (south) and walks $6$ km.

Position: $(4,\,2)$

He turns left (east) and walks $3$ km.

Final position: $(7,\,2)$

Distance from starting point:

$ d = \sqrt{(7-0)^2 + (2-0)^2} $

$ d = \sqrt{49 + 4} $

$ d = \sqrt{53} $

$d=7.28$

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