**Q1. If in ∆PQR sin² P + sin² Q + sin² R = 2, then ∆ is **

(a) equilateral

(b) scalene

(c) obtuse

(d) right angled

**Q2. Find sum of all integral solutions to the equation **

(a) 3

(b) 0

(c) 5

(d) –1

**Q3. In the given figure, PQRS is a square of side 12 cm. A line RT is drawn in as shown in figure. If diameter of smaller circle is 6cm, then find the diameter of the bigger circle ?**

(a) 7 cm

(b) 8 cm

(c) 10 cm

(d) 11 cm

**Q4. Three circles touch each other externally. The tangents at their points of contact meet at a point whose distance from a point of contact is 4. Find ratio of the product of the radii to the sum of the radii of circles.**

(a) 16 : 1

(b) 16 : 15

(c) 1 : 16

(d) 15 : 16

**Q5. In ∆ABC if ex-radius ra, rb and rc have a relation ra>rb>rc. Then relation for sides a, b, c for ∆ABC is**

(a) a> b > c

(b) a< b < c

(c) a> b & b < c

(d) a< b & b > c

**Q7. If 2x – 2y = 1 and 4x – 4y = 5/3, then, x – y = ?**

(a) 1

(b) 2

(c) 0

(d) 5

**Q8. **

(a) 3001

(b) 3002

(c) 3003

(d) 3004

**Q10 A jar ABCDEF is made up of a prism shape with trapezium base and semi conical frustums connected at both ends of the prism. Find the volume of the shape (in cm3)? **

(a) 42000

(b) 11550

(c) 52120

(d) 53550

**Solutions:**