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
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.
