**Q1. In ∆DEF and ∆PQR, if PQ = DE, EF = PR and FD = QR, then**

**Q2. In a quadrilateral ABCD, ∠D = 60° and ∠C = 100°. The bisectors of ∠A and ∠B meet at the point P. The measure of ∠APB is**

(a) 80°

(b) 70°

(c) 100°

(d) 60°

**Q3. The sum of all interior angles of a regular convex polygon is 1080°. The measure of each of its interior angles is**

(a) 108°

(b) 135°

(c) 72°

(d) 120°

**Q4. The mean of range, mode and median of the data**

**4, 3, 2, 2, 7, 2, 2, 0, 3, 4, 4, is**

(a) 4

(b) 3

(c) 5

(d) 2

**Q5. The value of a machine which was purchased 2 yr ago, depreciates at 12% per annum. If its present value is Rs. 9680 for how much was it purchased?**

(a) Rs. 12142.60

(b) Rs. 11350.50

(c) Rs. 12500

(d) Rs. 10200

**Q6. The radii of the bases of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is**

(a) 7 : 6

(b) 10 : 9

(c) 4 : 9

(d) 20 : 27

**Q7. If each edge of a solid cube is increased by 150%, the percentage increase in the surface area is**

(a) 525

(b) 225

(c) 625

(d) 150

**Q8. The least number which must be added to 893304 to obtain a perfect square is**

(a) 1521

(b) 1042

(c) 1612

(d) 945

**Solutions**

Sol. Given in ∆DEF and ∆PQR, PQ = DE, EF = PR and FD = QR

S3. Ans.(b)

Sol. ∵ Sum of all interior angle of a regular convex polygon

= (2n – 4) × 90°

[where n is number of sides]

So, (2n – 4) × 90 = 1080

⇒ 2n – 4 = 1080/90 = 12

⇒ 2n = 16

⇒ n = 8[sides]

So, each interior angle of a regular convex polygon

= 1080/8 = 135°

Hence, option (b) is correct.

**S6 Ans (d)**

**S7. Ans(a)**