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Q:

In an isosceles ΔABC, AD is the median to the unequal side meeting BC at D. DP is the angle disector of ∠ADB and PQ is drawn parallel to BC meeting AC at Q. Then the measure of ∠PDQ is

A) 130° B) 90°
C) 180° D) 45°
 
Answer & Explanation Answer: B) 90°

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Q:

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC+XY=12 units, then BC­XY is

A) 10 units B) 8 units
C) 6 units D) 4 units
 
Answer & Explanation Answer: D) 4 units

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Q:

The area of the largest triangle that can be inscribed in a semicircle of radius 6m is

A) 36 sq.m B) 72 sq.m
C) 18 sq.m D) 12 sq.m
 
Answer & Explanation Answer: A) 36 sq.m

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Q:

Δ DEF and Δ GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ΔABC to ΔDEF?

A) 5:3 B) 3:5
C) 25:9 D) 9:25
 
Answer & Explanation Answer: A) 5:3

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Q:

One of the internal angle of a rhombus is 60° and length of its shorter diagonal is 8 cm. What is the area of the rhombus?

A) 64√3 sq cm B) 32√2 sq cm
C) 64√2 sq cm D) 32√3 sq cm
 
Answer & Explanation Answer: D) 32√3 sq cm

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Q:

How many rectangles can you see in the figure?

A) 9 B) 8
C) 10 D) 7
 
Answer & Explanation Answer: A) 9

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Q:

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 1:4 and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

A) 60 sq cm B) 16 sq cm
C) 96 sq cm D) 21 sq cm
 
Answer & Explanation Answer: C) 96 sq cm

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Q:

The diagonals do not form at least two congruent triangles in a _____.

A) Parallelogram B) Rhombus
C) Trapezium D) Kite
 
Answer & Explanation Answer: C) Trapezium

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