Direction(1-5): There are 5 friends A, B, C, D and E standing randomly. B is to the northeast of E. D is 2km to the east of E, who is 6km to the west of A. C is to the northwest of D and in the line of EB. D is 4km the south of B.
1. In which direction is C with respect to A ?

A. South west B. South east C. Northeast D. Northwest E. None of these

2. In which direction is A with respect to B ?

A. Southeast B. Southwest C. Northwest D. Northeast E. None of these

3. What is the distance between D and A ?

A. 5km B. 4km C. 6km D. 3km E. None of these

4. What is the shortest distance between B and A?

A. [latex]5 \sqrt{7}[/latex] km B. [latex]4 \sqrt{2}[/latex] km C. [latex]6 \sqrt{2}[/latex] km D. [latex]3 \sqrt{5}[/latex] km E. None of these

5. What is the shortest distance between between B and E?

A. [latex]2 \sqrt{7}[/latex] km B. [latex]4 \sqrt{2}[/latex] km C. [latex]6 \sqrt{2}[/latex] km D. [latex]3 \sqrt{5}[/latex] km E. None of these

Answers
1. Answer - Option D
Explanation [1-5]-

2. Answer - Option A
3. Answer - Option B
4. Answer - Option B
Explanation -
[latex]{X}^{2} = {4}^{2} + {4}^{2}[/latex]
[latex]4 \sqrt{2}[/latex] km
5. Answer - Option D
Explanation -
[latex]{X}^{2} = {4}^{2} + {2}^{2}[/latex]
[latex]2 \sqrt{5}[/latex] km

Directions(1-2): Bala walked 25km towards west, took a left turn and walked 15km. He again took a left turn and walked 30km. He then took a right turn and stopped.
1. Now he was facing which direction ?

A. West B. East C. South D. North E. None of these

2. Instead of turning right at the end if he took left and walked 20km, what is the shortest distance to his starting point?

A. [latex]3\sqrt{7}[/latex] km B. [latex]2\sqrt{5}[/latex] km C. [latex]7\sqrt{2}[/latex] km D. [latex]5\sqrt{2}[/latex] km E. None of these

3. Raghav starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.

A. 10m, south east B. 10m, north east C. 20m, north west D. 20m, south west E. None of these

4. Dheepthi started from point A in south direction. After walking for 4 m she turned to her right and walked 5 m. Now she turned to her left and walked 3 m after which she turned to her right. Now she walked 4 m and turned to her right again and walked 15 m. Now finally she turned to her right and after walking for 7 m, she stopped at point B. What is the distance AB?

A. [latex]2\sqrt{34}[/latex] m B. 34 m C. [latex]3\sqrt{17}[/latex] m D. [latex]2\sqrt{17}[/latex] m E. None of these

5. Riya started from her home to office. She started in east direction. After walking for 4 m she turned to her left and walked 8 m, now she turned left and walked 2 m. After this she turned to right walked 4 m. Now after turning to her right she walked 13 m and reached office. Find the shortest distance between her office and home.

A. 87 m B. [latex]2\sqrt{17}[/latex] m C. 26 m D. [latex]3\sqrt{41}[/latex] m E. None of these

Answers and Explanations
1. Answer - Option C
Explanation -

2. Answer - Option D
Explanation -
[latex]{x}^{2} = {5}^{2} + {5}^{2}[/latex]
x = [latex]\sqrt{50} = 5 \sqrt{2}[/latex]
3. Answer - Option B
Explanation -

[latex]{x}^{2} = {6}^{2} + {8}^{2}[/latex]
x = [latex]\sqrt{100} = 10[/latex]
4. Answer - Option D
Explanation -

[latex]{x}^{2} = {8}^{2} + {2}^{2}[/latex]
x = [latex]\sqrt{68} = 2 \sqrt{17}[/latex]
5. Answer - Option D
Explanation -

[latex]{x}^{2} = {15}^{2} + {12}^{2}[/latex]
x = [latex]\sqrt{369} = 3 \sqrt{41}[/latex]

1. Riya starts walking in the north direction and after walking some distance she took a left turn followed by a right turn. After that she took two consecutive left turn, now she is walking in which direction?

A. south B. north C. east D. west E. None of these

2. Rahul walks a distance of 10 km towards south, then he turn to his left and walks 5 km. From here he took a right turn and walks 6 km and stops at a point A. Find the distance between the starting point and A and A is in which direction with respect to starting point.

A. 17km, north east B. 17km south east C. 17km north west D. 17km south west E. None of these

3. Neha travelled from a point X straight to point Y at a distance of 50 meters. He turned to his right and walks 50 meter more, then again turned right and walks 60 meter. Finally, he turned to right and walks 50 meters. How far is he from the starting point?

A. 10 B. 20 C. 30 D. 40 E. None of these

4. Nishant walks 30 meter in the north direction, after that he took a right turn and walks 40 meter. After that he took a right turn and walks 40 meter more and finally he took a right turn and stop after walking 40 meter. Find the distance of nishant from the initial position?

A. 5 B. 10 C. 15 D. 20 E. None of these

5. From his house, Ram went 15 kms to the north. Then he turns west and covered 20 km. Then he turned south and covered 5 km. Finally turning to east, he covered 25 km. In which direction is he from his house?

A. north west B. north east C. south east D. south west E. None of these

Answers and Explanations
1. Answer - Option A
Explanation -

2. Answer - Option B
Explanation -

Distance = [latex]{16}^{2} + {5}^{2} = \sqrt {281} = 17 km[/latex]
3. Answer - Option A
Explanation -

4. Answer - Option B
Explanation -

5. Answer - Option B
Explanation -