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A man starts from point 'O', travels 20 km towards east to reach point 'A', turns right and travels 10 km to reach point 'B', turns right and travels 9 km to reach point 'C', turns right and travels 5 km to reach point 'D', turns left and travels 12 km to reach point 'E' and then turns right and travels 6 km to reach point 'F'. What is the shortest distance between point 'E' and point 'C'?
A
13
B
\u221a2
C
\u221a20
D
\u221a145
Correct Answer:
13
If a + b + c + d = 4, then find the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$ + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$ + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$ + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$ is?
A
0
B
5
C
1
D
4
If a + b + c + d = 4, then the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$ + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$ + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$ + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$ is?
A
0
B
1
C
4
D
1 + abcd
A man leaves from his office for his home. He walks towards East. After moving a distance of 20 m, he turns South and walks 10 m. Then he walks 35 m towards the west and further 5 m towards the north. He then turns towards east and walks 15 m. What is the straight distance (in metres) between his initial and final position?
A
0
B
5
C
10
D
11
Radha moves towards South-East a distance of 7 km, then she moves towards West and travels a distance of 14 km. From here she moves towards North-West a distance of 7 km and finally she moves a distance of 4 km towards east. How far is she now from the starting point?
A
3 km
B
4 km
C
10 km
D
11 km
Two cars C and D start from the same point. C travels 9 km South, then turns to its left and travels another 11 km. D travels 3 km East, then turns Southand travels 5 km, then turns to its left and travels another 8 km. Where is D with respect to C now?
A
4 km South
B
14 km North
C
4 km North
D
14 km South
A boy leaves his school and travels 8 km towards the east. He takes a left turn and travels 6 km in that direction, and then turns towards the east andtravels another 5 km. Finally, he turns right and travels 10 km. In which direction is he now from his school?
A
South-East
B
West
C
East
D
North-East
An office worker walks 4 km East from his home to reach a taxi-stand. He catches a taxi from there which goes 10 km South, then the taxi turns right and goes a further 15 km. Here he gets down and takes a bus. This bus travels 2 km North, then travels 3 km West then it turns to its right and travels 8 km to reach the man's office. Where is this man's office with respect to his home?
A
22 km West
B
14 km East
C
14 km West
D
22 km East
Deepak starts walking straight towards east. After walking 75 metres, he turns to the left and walks 25 metres straight. Again he turns to the left, walksa distance of 40 metres straight, again he turns to the left and walks a distance of 25 metres. How far is he from the starting point?
A
35 m
B
50 m
C
115 m
D
140 m
Two autos start from the same stand. Auto A travels 2 km East, then turns to its right and travels a further 3 km. Meanwhile auto B travels 5 km North, then turns West and travels 3 km, then it turns to its left and travels 8 km. Where is auto B with respect to auto A?
A
5 km West
B
1 km West
C
5 km East
D
1 km East
Riya travels 5 km in the east direction, takes a right turn and travels another 8 km. Next, she turns left to travel 4 km and then takes another left turn totravel 8 km more. Finally, she turns towards the east and travels 5 km. How far is she now from her original position?
A
20 km
B
14 km
C
15 km
D
16 km