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Q:

A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?

A) 240 B) 120
C) 60 D) 90
 
Answer & Explanation Answer: C) 60

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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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Q:

In the given figure, if  QR/XY = 14/9 and PY = 18 cm, then what is the value (in cm) of PQ?

 

 

A) 28 B) 18
C) 21 D) 24
 
Answer & Explanation Answer: A) 28

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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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Q:

If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y?

A) ( b + 3 a)/( a – 3 b) B) ( a + 3 b)/( b – 3 a)
C) (1 + 3 a)/( a + 3 b) D) ( a + 3 b2)/( b – 3 a2)
 
Answer & Explanation Answer: A) ( b + 3 a)/( a – 3 b)

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Q:

If x – 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x – 3y)?

A) 9/5 B) 11/5
C) 13/7 D) 9/7
 
Answer & Explanation Answer: B) 11/5

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Q:

A = (x8 – 1)/(x4 + 1) and B = (y4 – 1)/(y2 + 1). If x = 2 and y = 9, then what is the value ofA2 + 2AB + AB2?

A) 96475 B) 98625
C) 92425 D) 89125
 
Answer & Explanation Answer: B) 98625

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Q:

If x + y = 3, then what is the value of x3 + y3 + 9xy?

A) 15 B) 81
C) 27 D) 9
 
Answer & Explanation Answer: C) 27

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