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Q:

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 angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg 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
 
Answer & Explanation Answer: B) 200√3

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

In the given figure, ABCDEF is a regular hexagon of side 12 cm. P, Q and R are the mid points of the sides AB, CD and EF respectively. What is the area (in sq.cm) of triangle PQR?

A) 27√6 B) 81√3
C) 54√3 D) 54√6
 
Answer & Explanation Answer: B) 81√3

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

A) 32√3 B) 24[(√3) – 1]
C) 48[(√3) – 1] D) 16[3 – (√3)]
 
Answer & Explanation Answer: D) 16[3 – (√3)]

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Q:

In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?

A) 1296/49 B) 25
C) 1225/36 D) 1225/64
 
Answer & Explanation Answer: A) 1296/49

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Filed Under: Area
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Q:

In the given figure, E and F are the centers of two identical circles. What is the ratio of area of triangle AOB to the area of triangle DOC?

A) 1 : 3 B) 1 : 9
C) 1 : 8 D) 1 : 4
 
Answer & Explanation Answer: B) 1 : 9

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO = 6 cm, PX = 8 cm and QO = 4 cm, then what is the value (in cm) of QY?

A) 6.3 B) 5.8
C) 6 D) 7
 
Answer & Explanation Answer: D) 7

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Filed Under: Area
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Q:

In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

A) 9 B) 4
C) 8 D) 6
 
Answer & Explanation Answer: B) 4

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Filed Under: Area
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Q:

In the given figure, OX, OY and OZ are perpendicular bisectors of the three sides of the triangle. If QPR = 65 deg and PQR = 60 deg, then what is the value (in deg) of QOR + POR ?

A) 250 B) 180
C) 210 D) 125
 
Answer & Explanation Answer: A) 250

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Filed Under: Area
Exam Prep: Bank Exams