Village P is 20 km west of village Q, and village R is 15 km north of Q. What is the shortest distance between P and R ?
Answer: C
Correct answer: 25 km
P and R lie at the ends of two perpendicular arms meeting at Q, so the direct distance is the hypotenuse.
\[d = \sqrt{20^2 + 15^2} = \sqrt{400 + 225} = \sqrt{625} = 25 \text{ km}\]
Please log in or register to report this question.
Ravi wants to go to the university. He starts from his home which is in the East and comes to a crossing. The road to the left ends in a theatre, straight ahead is the hospital. In Which direction is the University?
Answer: A
.jpg)
Starting from his house in the East, Ravi moves westwards. Then, the theatre, which is to the left, will be in the south. The Hospital, which is straight ahead, will be to the West. So, the University will be to the North.
Please log in or register to report this question.
A car travels 15 km east, turns left and travels 10 km, turns left again and travels 15 km, then turns right and travels 5 km. How far and in which direction is it from the start ?
Answer: A
Correct answer: 15 km north
The turns give the sequence east, north, west, north. The 15 km east and 15 km west cancel, while the northward legs add.
\[10 + 5 = 15 \text{ km towards the north}\]
Please log in or register to report this question.
One morning after sunrise, Vimal started to walk. During this walking he met Stephen who was coming from opposite direction. Vimal watch that the shadow of Stephen to the right of him (Vimal). To Which direction Vimal was facing?
Answer: C
Correct answer: South
In the morning the sun is in the east, so every shadow points west. Stephen’s shadow ran westward and fell to Vimal’s right, so west was on Vimal’s right hand, which puts him facing south.
Please log in or register to report this question.
A man is facing north-west. He turns 90º in the clockwise direction, then 180º in the anticlockwise direction and then another 90º in the same direction. Which direction is he facing now?
Answer: C
.jpg)
As shown in fig. the man initially faces in the direction OP. On moving 90º clockwise, he faces in the direction OX. On further moving 180º anticlockwise, he faces in the direction OY. Finally, on moving 90ºanticlockwise, he faces in the direction OZ, which is South-east.
Please log in or register to report this question.
Gaurav walks 20 metres towards North. He then turns left and walks 40 metres. He again turns left and walks 20 metres. Further, he moves 20 metres after turning to the right. How far is he from his original position ?
Answer: C
Correct answer: 60 metres
The northward and southward legs cancel - 20 north and then 20 south - leaving \( 40 + 20 = \mathbf{60} \) metres westward.
Please log in or register to report this question.
If A x B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A - B means A is to the west of B; then in P % Q + R - S, S is in which direction with respect to Q ?
Answer: A
Correct answer: South-East
Take the relations in the order they are written. \( P \% Q \) fixes P east of Q. \( Q + R \) fixes Q north of R, so R is displaced south from Q. \( R - S \) fixes R west of S, so S is displaced east from R. S is therefore both south and east of Q - south-east. The first relation involving P is not needed for this question and is there to be discarded.
Please log in or register to report this question.
A man goes 9 km east, then 4 km north, then 5 km west and finally 4 km south. How far is he from his starting point ?
Answer: C
Correct answer: 4 km
Treat the two axes separately.
\[\text{East-west} = 9 - 5 = 4 \text{ km east}, \qquad \text{North-south} = 4 - 4 = 0\]
He ends 4 km due east of where he began.
Please log in or register to report this question.
A dog runs 20 metre towards East and turns Right, runs 10 metre and turns to right, runs 9 metre and again turns to left, runs 5 metre and then turns to left, runs 12 metre and finally turns to left and runs 6 metre. Now which direction dog is facing ?
Answer: B
Correct answer: North
Starting eastward, the two right turns bring him first to south and then to west; the two left turns that follow bring him to south again and then to east - and the last left turn leaves him facing north.
Please log in or register to report this question.
After walking 6 km, I turned to the right and then walked 2 km. After then I turned to the left and walked 10 km. In the end, I was moving towards the North. From which direction did I start my journey?
Answer: B
Correct answer: South
A right turn followed by a left turn leaves a walker facing the way he began, so his final direction is his first: north. Setting out northward means he started from the south.
Please log in or register to report this question.
