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.
One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?
Answer: C
Correct answer: South
After sunrise the sun is in the east, so every shadow points west. The pole’s shadow fell to Suresh’s right, so west was on his right hand - which puts him facing south.
Please log in or register to report this question.
Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
Answer: A
Correct answer: 65 km
The two cars set out towards each other from points 150 km apart. The first advances 25 km, steps 15 km aside and returns to the road after a further 25 km, so it has closed 50 km of the gap; allowing for the second car’s run, 65 km separates them.
Please log in or register to report this question.
In the evening, a man notices that his shadow falls exactly behind him. Which direction is he facing ?
Answer: D
Correct answer: West
The sun sets in the west, so evening shadows stretch towards the east. A shadow directly behind him means east is behind him, and he is therefore facing west - towards the setting sun.
Please log in or register to report this question.
A person travels 6 km towards the north and then 8 km towards the east. What is the shortest distance from his starting point ?
Answer: D
Correct answer: 10 km
The two legs are at right angles, so the shortest distance is the hypotenuse.
\[d = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \text{ km}\]
He has walked 14 km but ends only 10 km from the start.
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.
A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 4 km. And then he goes back 10 km straight. Now in which direction is he from the starting place ?
Answer: B
Correct answer: North-West
Track the turns one at a time. He starts south for 5 km, turns right to face west and covers 3 km, turns left to face south again for 4 km, and then goes back - reversing his heading to north - for 10 km. Southward he has gone \( 5+4=9 \) km and northward 10 km, so he ends 1 km north of his start and 3 km west of it. That puts him north-west of the starting place.
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.
I am facing south. I turn right and walk 20 m. Then I turn right again and walk 10m. Then I turn left and walk 10m and then turning right walk 20m. Then I turn right again and walk 60m. In which direction am I from the starting point?
Answer: C
Correct answer: North-East
Facing south, a right turn is to the west. Taking the start as the origin with east positive: west 20 gives \( (-20,0) \); the next right turn faces north, so 10 north gives \( (-20,10) \); a left turn faces west again, so 10 more gives \( (-30,10) \); a right turn faces north, so 20 gives \( (-30,30) \); and a final right turn faces east, so 60 gives \( (30,30) \). Both coordinates are positive, so he is north-east of the start.
Please log in or register to report this question.
A is to the north of B, and C is to the east of B. In which direction is C from A ?
Answer: A
Correct answer: South-East
Place B at the origin, so A lies directly above it and C directly to its right. Seen from A, the point C is both to the right and lower down.
That combination of east and south gives the south-east direction.
Please log in or register to report this question.
