A helicopter, at an altitude of 1500 m, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observedfrom the helicopter are 60°and 30°respectively. Distance between the two ships, in metres is

Gaurav cycles towards South-West for a distance of 6 m and stops there. Further, he moves towards East a distance of 10 m and from there he moves towards North-East a distance of 6 m. Next, he moves towards West a distance of 6 m. Now, he moves towards North-West a distance of 2 m. Next, he moves towards West a distance of 4 m and then towards South-West 6 m and stops at that point. Now, where is he from the starting point?

A

North

B

North - East

C

South - West

D

West

E

South

Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships, 3 medium ships carry the same amount of water as 2 large ships and 1 small ship. 15 large, 7 medium and 14 small ships, each made 36 journeys and brought a certain quantity of water. In how many journeys would 12 large, 14 medium and 21 small ships bring the same quantity ?

A

25

B

29

C

32

D

49

March List I with List II : List I List II (A) Supplementary angles (I) Angles less than 90° (B) Complementary angles (II) Two angles whose sum is 180° (C) Acute angles (III) Angles greater than 90° but less than 180° (D) Obtuse angles (IV) Two angles whose sum is 90° Choose the correct answer from the options given below :

A

(A) - (III), (B) - (II), (C) - (I), (D) - (IV)

B

(A) - (IV), (B) - (II), (C) - (III), (D) - (I)

C

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

D

(A) - (II), (B) - (IV), (C) - (III), (D) - (I)

18. Depression is different from the fluctuations in mood that people experience as a part of normal life. Temporary emotional responses to the challenges of everyday life do not constitute depression. Likewise, even the feeling of grief resulting from the death of someone close is not itself depression if it does not persist. Depression can, however, be related to bereavement - when depression follows a loss, psychologists call it a "complicated bereavement" Q. How is depression different from mood swings?

A

Depression is temporary

B

Mood swings are related to bereavement

C

Depression is the feeling of grief resulting after death

D

Depression can be linked to bereavement and is persistent

E

Mood swings are complicated bereavement

The angle of depression of two ships from the top of a light house are 45 and 30 degree, sailing in the same direction. If the height of the light house is 150 m, then what will be the distance between the 2 ships?

A

150 (√3 – 1) m

B

150√3 / 2 m

C

150√2 / 3 m

D

150 (√2 – 1) m

Two ships X and Y are sailing away from a glacier in the same direction. If the height of the glacier is 1000 m and the angle of elevation made by the 2 ships are 45 and 30 degree respectively, then what is the distance between the two ships?

A

500(√3 + 1) m

B

1000(√3 – 1) m

C

1000(√3 + 1) m

D

500(√3 – 1) m

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is metres to the east of point 'T'. Point 'M' is metres to the east of point 'Z'. Point 'R' is metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.

A

Statement (I) and (III) are independently sufficient to answer the question.

B

Statement (I) and (II) are together required to answer the question.

C

Statement (I) alone is sufficient to answer the question while statement (II) is not sufficient to answer the question.

D

Statement (II) alone is sufficient to answer (I) is not sufficient to answer the question.

Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angles of depression of the point from the top of the trees are 45° and 60°. If the height of the tree which makes 45° angle is 200 metres, then what will be the height (in metres) of the other tree?

A

200

B

200√3

C

100√3

D

250

Rajan walks 24 metres towards east. Then turns right and walk another 24 metres. Then turn right and walks for 31 metres to reach shop A. He again turns to his right and walks for 24 metres. What is the straight line distance (in metres) between the starting point and shop A?

A

14\u221a2

B

15\u221a2

C

25

D

26

Two ships are sailing in the sea on the two sides of a lighthouse . The of elevation of the top of the lighthouse an observed from the two ships are 30 degree and 45 degree respectively . If the lighthouse is 100 m high, the distance between the two ships is-

A

175m

B

200 m

C

27m

D

300m

A helicopter, at an altitude of 1500 m, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observedfrom the helicopter are 60°and 30°respectively. Distance between the two ships, in metres is

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