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Q:

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

A) 30 B) 36
C) 45 D) 60
 
Answer & Explanation Answer: A) 30

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

How many triangles are there in the given figure?

A) 38 B) 44
C) 48 D) 56
 
Answer & Explanation Answer: B) 44

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Filed Under: Image Analysis
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Q:

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?

A) -2 B) 0
C) 1 D) 2
 
Answer & Explanation Answer: D) 2

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Filed Under: Simplification
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Q:

If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

A) 125√3 B) 147√3
C) 156√3 D) 169√3
 
Answer & Explanation Answer: B) 147√3

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Q:

If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

A) 2√2 B) 3√2
C) 2√3 D) 3√3
 
Answer & Explanation Answer: C) 2√3

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Q:

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

A) 6 B) 9
C) 12 D) 18
 
Answer & Explanation Answer: C) 12

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Q:

How many triangles are there in the given figure?

A) 12 B) 15
C) 18 D) 19
 
Answer & Explanation Answer: B) 15

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Filed Under: Image Analysis
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Q:

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

A) 6√3 B) 8√3
C) 9 D) 9√3
 
Answer & Explanation Answer: D) 9√3

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams