TS Polycet (Polytechnic) 2016 Previous Question Paper with Answers And Model Papers With Complete Analysis

Q). A flagpole 4 m tall casts a 6 m shadow. At the same time, a nearby building casts a shadow of 24 m. Then the height of the building is
A) 16 m
B) 20 m
C) 24 m
D) 18 m

Q). In the figure below, PQ II BC. If AP = 3, PB = 4 and AQ = 4, then QC =

A) 7/3
B) 4/3
C) 16/3
D) 3/4

Q). △ABC∼△DEF and their areas are 16 cm2 and 81 cm2 respectively. If BC = 4 cm, then EF =
A) 5 cm
B) 4 cm
C) 11 cm
D) 9 cm

Q). In the figure below, DE II BC. If AD = x, AE = x+2, DB = x – 2 and CE = x – 1, then x =

A) 4
B) 5
C) 6
D) 7

Q). The tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Then the length of the tangent is

A) 13 cm
B) √119 cm
C) 14 cm
D) 11 cm

Q). A parallelogram circumscribing a circle is a
A) trapezium
B) rhombus
C) square
D) rectangle

Q). If the radius of a circle is 4 cm and the sector angle is 30°, then the area of the sector is
A) 3π/4 sq. cm
B) 3π sq. cm
C) 4π sq. cm
D) 4π/3 sq. cm

Q). In the figure below, which of the following are tangents to the circle?

A) A,B,C
B) A,D
C) A,C
D) A,B,D

Q). In the figure below, OP = 3 cm and OB = 5 cm. Then AB =

A) 8 cm
B) 9 cm
C) 4 cm
D) 10 cm

Q). The radius and height of a right circular cone are 6 cm and 7 cm respectively. Then the volume of the cone is
A) 264 cc
B) 300 cc
C) 246 cc
D) 256 cc