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Q:

In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

A) 9 B) 4
C) 8 D) 6
 
Answer & Explanation Answer: B) 4

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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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Q:

If x2  4x + 1 = 0, then what is the value of x9 + x7  194x5  194x3?

A) 4 B) – 4
C) 1 D) – 1
 
Answer & Explanation Answer: B) – 4

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Q:

If [a + (1/a)]2  2[a  (1/a)] = 12, then which of the following is a value of 'a'?

A) – 8 + √3 B) – 8 – √3
C) – 8 + √5 D) None of these
 
Answer & Explanation Answer: D) None of these

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