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CUET General Test 2025 PYQs19 May Shift 1. Free, no login required.

Logical Reasoning

past year questions, CUET General Test 2025 19 May Shift 1

Directions

past year questions, Logical Reasoning, CUET General Test 2025 19 May Shift 1

Medium

Rekha moves 15 km in East direction, then turns towards North and moves 4 km. From here she turns towards West and travels 12 km. How far and in which direction is she from her starting point?

Solution

✅ Correct Option: 2

Let the starting point be at the origin (0, 0).

After moving 15 km East, Rekha is at position (15, 0).

After turning North and moving 4 km, Rekha is at position (15, 4).

After turning West and traveling 12 km, Rekha is at position:

(15−12,4)=(3,4)(15 - 12, 4) = (3, 4)

The distance from the starting point (0, 0) to final position (3, 4) is:

d=(3−0)2+(4−0)2d = \sqrt{(3-0)^2 + (4-0)^2}

d=9+16d = \sqrt{9 + 16}

d=25d = \sqrt{25}

d=5d = 5 km

The final position is (3, 4), meaning Rekha is 3 km to the East and 4 km to the North of her starting point.

Therefore, she is in the North-East direction.

Rekha is 5 km away from her starting point in the North-East direction.

The answer is Option 2: 5 km, North-East.

Related questions:

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Ammy starts from a point A and walks 6 m towards North-East direction and reaches point B. From here, she travels 10 m in East direction and reaches point C. From C, she travels towards South-West direction and reaches point D after travelling a distance equal to AB. At last, she turns towards West direction and reaches point A.

Which geometrical figure has been formed by the path travelled by her?

2026: 26 May Shift 1

Seema walks from A to B, which is 2 km away, turns right at 90° and walks for 3 km to point C. Then she turns right at 90° and walks to D, which is 8 km away, turns 90° right and walks 3 km to point E. Finally, she turns right at 90° and walks 4 km to point F. How far is it from A to F?

2022: 23 Aug Shift 1

Arpit travelled 3 km east from his home, then 2 km north followed by 3 km to east. He took a 90 degree right turn and walked 5 km straight, then he again took a right turn and walked 6 km more. How far is he now his home?

2023: 7 June Shift 1

Rakesh goes 20 m North, then turns right and walk 25 m, then again turns right and walks 15 m, then again turns right and walks 25 m. How far is he from his original position ?

2023: 19 June Shift 1

Read the following information carefully and answer the given question.

Nine friends A, B, C, D, E, F, G, H and I are sitting around a circle facing the centre. I sits fifth to the right of G. C is not an immediate neighbour of either G or I. B sits between H and E. C sits fourth to left of the E. D sits second to the right of F. H is not an immediate neighbour of I. Which of the following is D's position with respect to B in the anti-clockwise direction starting from B ?

2025: 14 May Shift 2

Zeeshan has a faulty compass which shows North as South-West, East as North-West and so on. If Zeeshan wants to actually find the South-East direction on his compass, then he should check which direction on his compass so that he gets to determine the South-East direction correctly?

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