**Q1.**

**Q2. A monument has 50 cylindrical pillars each of diameter 50 cm and height 4 m. What will be the labour charges for getting these pillars cleaned at the rate of 50 paise per sq m? **

(a) Rs 237

(b) Rs 157

(c) Rs 257

(d) Rs 353

**Q3. A conical cavity is drilled in a circular cylinder of 15 cm height and 16 cm base diameter. The height and the base diameter. The height and the base diameter of the cone are same as those of the cylinder. Determine the total surface area of the remaining solid.**

**Q4. In a cyclic quadrilateral ABCD, is double of its opposite angle and the difference between the other two angles is one-third of . The minimum difference between any two angles of this quadrilateral is**

(a) 30°

(b) 10°

(c) 20°

(d) 40°

**Q5. In a triangle ABC, the lengths of the sides AB, AC and BC are 3, 5 and 6 cm respectively. If a point D on BC is drawn such that the line AD bisects the internally, then what is the length of BD?**

(a) 2 cm

(b) 2.25 cm

(c) 2.5 cm

(d) 3 cm

**Q6.**

(a) a = 1, b = 0

(b) a = 0, b = 1

(c) a = 1, b = 2

(d) a = –1, b = 2

**Q7. If the graphs of the equations 3y–x = 6 and 3x + 5y =38 intersect at a point, then the co-ordinates of the point will be –**

(a) (3, 3)

(b) (2, –3)

(c) (4, 5)

(d) (6, 4)

**Q8.**

**Q9.**

(a) 1

(b) pq

(c) qr

(d) 1/pq

**Q10.**

**Solutions:**

**S1. Ans.(d) **

**Sol.**

**S2. Ans.(b) **

**Sol.**

Curved surface Area of 50 pillars

= 50 × 2 × 3.14 × 0.25 × 4 × 0.5 = 157

**S3. Ans.(a) **

**Sol. **

**S4. Ans.(b) **

**Sol. **

**S5. Ans.(b) **

**Sol. **

**S6. Ans.(b) **

**Sol.**

**S7. Ans.(d) **

**Sol.**

x = 6, y = 4 or solving both eq.

**S8. Ans.(b) **

**Sol. **

**S9. Ans.(a) **

**Sol.**

pqr = 1

Put p =q = r = 1

so, we get answer 1

**S10. Ans.(d) **

**Sol.**

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