AfterBoards Logo
Skip to main contentSkip to solution

CUET General Test 2025 PYQs22 May Shift 2. Free, no login required.

Logical Reasoning

past year questions, CUET General Test 2025 22 May Shift 2

Directions

past year questions, Logical Reasoning, CUET General Test 2025 22 May Shift 2

Medium

Kanika drives 6 km west from her home and turns left and drives 3 km and then turns left again and drives 10 km to reach her office. What is the shortest distance between her home and office?

Solution

✅ Correct Option: 2

Let Home be the starting point and track Kanika's movements.

Starting from Home:

  • Drives 6 km west
  • Turns left (now facing south) and drives 3 km
  • Turns left again (now facing east) and drives 10 km to reach Office

Place Home at coordinates (0, 0) and track the position after each movement:

Starting position: Home = (0, 0)

After 6 km west: Position = (-6, 0)

After turning left and driving 3 km south: Position = (-6, -3)

After turning left and driving 10 km east: Position = (-6 + 10, -3) = (4, -3)

Therefore, Office = (4, -3)

The shortest distance is the straight line from Home to Office.

Home: (0, 0)

Office: (4, -3)

Using the distance formula:

Distance=(x2−x1)2+(y2−y1)2\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

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

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

=25= \sqrt{25}

=5= 5

Therefore, the shortest distance between home and office is 5 km.

Related questions:

2025: 27 May Shift 2

Reena drives 10 km towards North, then turns to her right to travel 20 km. She again turns right and moves 7 km before travelling 15 km to her right. From that point she takes a left turn and goes on for 3km and ends the journey. What is the distance between the starting point and the end point?

2026: 12 May Shift 2

Point H is 6 m towards the East of point G, point R is 8 m North of point G. Point Q is exactly midway between Point R and point G. Point K is 10 m to the South of point Q. Point L is 3 m towards the East of point Q, point S is exactly midway between point G and point H.

(A) Point R is North-east of Point H.

(B) The shortest distance between Point H and Point R is 10 m

(C) The shortest distance between Point Q and Point S is 5 m.

(D) Point R is 14 m south of point K.

Choose the correct answer from the options given below:

2025: 21 May Shift 1

Alok walks from point P to point Q, which is 6 km away, then turns right and walks for 12 km to point R, again turns right and goes 11 km to point S. What is the distance between points P and S?

2026: 20 May Shift 2

Rajnish walks 12 kilometers towards north. From there he walks 8 kilometers towards south. Then he walks 3 kilometers towards east. How far and in which direction is he with reference to his starting point ?

2022: 17 Aug Shift 1

A person is going towards north in the night and he sees Dhruv tara and sees it on his left side. Which of the following statements justify the fact?

2025: 13 May Shift 2

Mr. X starts walking towards the West. After walking 70 m, then he turns to the left and walks 35 m straight. If he now turns left again and walks 30 m, and then he turns to the left and walks a distance of 35 m. How far will he be from the starting point finally ?

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question

CUET General Test Past Year Questions (Topic-Wise)