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Q:

In ABC,P is a point on BC such that BP : PC = 3 : 4 and Q is the midpoint of AP. Then ar( ABQ): ar( ABC) is equal to:

 

A) 3 : 8 B) 2 : 7
C) 1 : 4 D) 3 : 14

Answer:   D) 3 : 14



Explanation:
Q:

If a and b are the lengths of two sides of a triangle such that the product ab = 24, where a and are integers, then how many such triangles are possible?

 

A) 18 B) 16
C) 12 D) 15
 
Answer & Explanation Answer: D) 15

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Q:

Two circles touch internally. Their diameters are, respectively, 8 cm and 4 cm. What is the distance (in cm) between their centres?

 

A) 3 B) 2
C) 4 D) 1
 
Answer & Explanation Answer: B) 2

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0 9
Q:

The sum of the radius of the base and the height of a closed solid cylinder is 12.5 cm. If the total surface area of the cylinder is 275 sq.cm, then its radius is

 

A) 3.5 cm B) 3 cm
C) 7 cm D) 5 cm
 
Answer & Explanation Answer: A) 3.5 cm

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0 9
Q:

Let O be the centre of a circle. PA and PB are tangents to the circle from a point P outside the circle and A and B are points on the circle, If angle APB = 50 deg, then angle OAB is equal to:

 

A) 25 deg B) 20 deg
C) 40 deg D) 50 deg
 
Answer & Explanation Answer: A) 25 deg

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0 9
Q:

PQR is an isosceles triangle with PQ = PR = 25 cm. If PS is the median on QR from P such that PS = 7 cm, then the length of QR is:

 

A) 48 cm B) 42 cm
C) 45 cm D) 38 cm
 
Answer & Explanation Answer: A) 48 cm

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0 9
Q:

Two circles of radii 20 cm and 5 cm, respectively, touch each other externally at the point P, AB is the direct common tangent of those two circles of centres R and S, respectively. The length of AB is equal to:

 

A) 10 cm B) 5 cm
C) 15 cm D) 20 cm
 
Answer & Explanation Answer: D) 20 cm

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0 10
Q:

The distance between the centres of two equal circles each of radius 4 cm is 17 cm. The length of a transverse tangent is:

 

A) 14 cm B) 16 cm
C) 19 cm D) 15 cm
 
Answer & Explanation Answer: C) 19 cm

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Q:

The area of an isosceles right angled triangle is 121 cm . Find its hypotenuse.

 

A) 23 cm B) 20 cm
C) 22 cm D) 21 cm
 
Answer & Explanation Answer: C) 22 cm

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