# In a triangle ABC, AB = 6, BC = 8 and AC = 10. A perpendicular dropped from B, meets the side AC at D. A circle of radius BD (with center B) is drawn. If the circle cuts AB and BC at P and Q respectively, then AP : QC is equal to

1.  1 : 1

2.  3 : 2

3.  4 : 1

4.  3 : 8

4

3 : 8

Explanation :
No Explanation available for this question

# Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90o or concave if the internal angle is 270o. If the number of convex corners in such a polygon is 25, the number of concave corners must be

1.  20

2.  0

3.  21

4.  22

4

21

Explanation :
No Explanation available for this question

# Let p and q be the roots of the quadratic equation x2 – ( - 2) x - ?  - 1 = 0. What is the minimum possible value of p2 + q2 ?

1.  0

2.  3

3.  4

4.  5

4

5

Explanation :
No Explanation available for this question

# There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is 12 square centimeters then the area (in square centimeters) of the triangle ABC would be

1.    √12

2.  9/?

3.  9√3/?

4.  6√3/?

4

9√3/?

Explanation :
No Explanation available for this question

# Let a, b, c, d be four integers such that a + b + c + d = 4m + 1 where m is a positive integer. Given m, which one of the following is necessarily true

1.  The minimum possible value of a2 + b2+ c2 + d2is 4m2 – 2m + 1

2.  The minimum possible value of a2+ b2+ c2 + d2is 4m2+ 2m + 1

3.  The maximum possible value of a2+ b2 + c2+ d2is 4m2 - 2m + 1

4.  The maximum possible value of a2+ b2+ 2+ d2 is 4m2 + 2m + 1

4

The minimum possible value of a2+ b2+ c2 + d2is 4m2+ 2m + 1

Explanation :
No Explanation available for this question

# In the figure below, ABCDEF is a regular hexagon and AOF = 90o. FO is parallel to ED. What is the ratio of the area of the triangle AOF to that of the hexagon ABCDEF?

1.  1/12

2.  1/6

3.  1/24

4.  1/18

4

1/12

Explanation :
No Explanation available for this question

# The number of non-negative real roots of 2x – x – 1 = 0 equals

1.  0

2.  1

3.  2

4.  3

4

2

Explanation :
No Explanation available for this question

# Three horses are grazing within a semi-circular field. In the diagram given below, AB is the diameter of the semi-circular field with centre at O. Horses are tied up at P, R and S such that PO and RO are the radii of semi-circles with centers at P and R respectively, and S is the centre of the circle touching the two semi-circles with diameters AO and OB. The horses tied at P and R can graze within the respective semi -circles and the horse tied at S can graze within the circle centred at S. The percentage of the area of the semi-circle with diameter AB that cannot be grazed by the horses is nearest to

1.  20

2.  28

3.  36

4.   40

4

28

Explanation :
No Explanation available for this question

# Amit wants to reach N2 from S1. It would take him 90 minutes if he goes on minor arc S1 – E1 on OR, and then on the chord road E1 – N2. What is the radius of the outer ring road in kms

1.  60

2.  40

3.  30

4.  20

4

30

Explanation :
No Explanation available for this question

1.  60

2.  45

3.  90

4.  105

4