1.

Location of B is north of A and location of C is east of A. The distances AB and AC are 5 km and 12 km respectively. The shortest distance (in km) between the locations B and C is

UPSC - 2014

2.

Two friends X and Y start running and they run together for 50 m in the same direction and reach a point. X turns right and runs 60 m, while y turns left and runs 40 m. Then X turns left and runs 50 m and stops, while Y turns right and runs 50 m and then stops. How far are the two friends from each other now?

UPSC - 2022

3.

P, Q and R are three towns. The distance between P and Q is 60 km, whereas the distance between P and R is 80 km. Q is in the West of P and R is in the South of P. What is the distance between Q and R?

UPSC - 2019

4.

'A' started from his house and walked 20 m towards East, where his friend 'B' joined him. They together walked 10 m in the same direction. Then 'A' turned left while 'B' turned. right and travelled 2 m and 8 m respectively. Again 'B' turned left to travel 4 m followed by 5 m to his right to reach His office. 'A' turned right and travelled 12 m to reach his office. What is the shortest distance between the two

UPSC - 2019

5.

A woman runs 12 km towards her North, then 6 km towards her South and then 8 km towards her East. In which direction is she from her starting point?

UPSC - 2021

A.

An angle less than 45° South of East

B.

An angle less than 45° North of East

C.

An angle more than 45° south of East

D.

An angle more than 45° North of East

6.

Shahid and Rohit start from the same point in opposite directions. After each 1 km, Shahid always turns left and Rohit always turns right. Which of the following statements is correct?

UPSC - 2015

A.

After both have travelled 2 km, the distance between them is 4 km.

B.

they meet after each has travelled 3 km.

C.

They meet for the first time after each has travelled 4 km.

D.

They go on without ever meeting again.