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Q:

# D is the midpoint of side BC of .$∆ABC$ Point E lies on AC such that $CE=13AC$ . BE and AD intersect at G. What is $AGGD$?

 A) 5 : 2 B) 8 : 3 C) 3 : 1 D) 4 : 1

Answer:   D) 4 : 1

Explanation:
Q:

Chords AB and CD of a circle intersect at a point P inside the circle. If AB = 10 cm, AP = 4 cm and PC = cm, then CD is equal to:

 A) 4.8 cm B) 9.8 cm C) 7.8 cm D) 6.8 cm

Answer & Explanation Answer: B) 9.8 cm

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Q:

Triangle  ABC ~ Triangle RQP and PQ = 10 cm, QR = 12 cm and RP = 16 cm. If ar( triangle PQR): ar ( triangle  ABC) =  9/4 , then BC is equal to:

 A) 8 cm B) 6 cm C) \frac{20}{3} cm D) \frac{32}{3} cm

Answer & Explanation Answer: C) \frac{20}{3} cm

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Q:

In triangle ABC, P is a point on BC such that BP : PC = 2 : 3 and Q is the mid point of AP. Then ar(triangle ABQ): ar(triangle ABC) is equal to:

 A) 1:5 B) 1:4 C) 2:3 D) 2:5

Answer & Explanation Answer: A) 1:5

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Q:

In a circle with centre O, AB is a diameter and CD is a chord such that ABCD is a trapezium. If angle BAC = 28 deg, then angle CAD is equal to:

 A) 32^\circ B) 62^\circ C) 34^\circ D) 28^\circ

Answer & Explanation Answer: C) 34^\circ

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0 52
Q:

A sphere of radius 4 cm is melted and recast into smaller spheres of radii 2 cm each. How many such spheres can be made?

 A) 8 B) 32 C) 4 D) 16

Answer & Explanation Answer: A) 8

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1 30
Q:

Triangle ABC ~ Triangle EDF and ar(ABC) : ar(DEF) = 4 : 9. If AB = 6 cm, BC = 8 cm and AC = 10 cm, then DF is equal to:

 A) 9 cm B) 12 cm C) 15 cm D) 18 cm

Answer & Explanation Answer: B) 12 cm

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Q:

In a circle of radius 13 cm, a chord is at a distance of 12 cm from the centre of the circle. What is the length of the chord?

 A) 5 cm B) 10 cm C) 7 cm D) 9 cm

Answer & Explanation Answer: B) 10 cm

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Q:

In the given figure, AP bisects angle BAC. If AB = 4 cm, AC = 6 cm and BP = 3 cm, then the length of CP is:

 A) 3 cm B) 7 cm C) 5 cm D) 4.5 cm

Answer & Explanation Answer: D) 4.5 cm

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