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

Q). A metallic sphere of radius 2 cm is melted to recast into the shape of a cylinder of radius 4cm. Then the height of the cylinder is
A) 1/3 cm
B) 4/3 cm
C) 2/3 cm
D) 1 cm

Q). Three spheres of radii 6 cm, 1 cm and 8 cm are melted so as to form a single sphere. Then the radius of the new sphere is
A) 11 cm
B) 9 cm
C) 8 cm
D) 10 cm

Q). If sin A = cos B, then A + B =
A) 45°
B) 60°
C) 90°
D) 75°

Q). The value of cos 36° cos 54° – sin 36° sin 54° =
A) 1
B) 0
C) 2
D) -1

Q). The value of =
A) 2 sec²θ
B) 2secθ
C) 2 cosec²θ
D) 2cosecθ

Q). The value of tan²θ + tan⁴θ =
A) sec⁴θ – sec²θ
B) sec²θ – sec⁴θ
C) sin²θ – cos²θ
D) sec²θ – tan²θ

Q). The value of cos 45° . cos 30° – cos 90° . cos 60° =
A) √3/4√2
B) √3/4
C) 0
D) √3/2√2

Q). If x = a cosecθ and y = a cotθ, then which of the following is true?
A) x² + y² = a²
B) x² – y² = a²
C) x + y = a
D) xy = a

Q). If sin A = 7/25, then cot A =
A) 25/7
B) 1
C) 24/25
D) 24/7

Q). An observer of height 1.8 m is 13.2 m away from a palm tree. The angle of elevation of the top of the tree from his eyes is 45°. Then the height of the palm tree is
A) 13.2 m
B) 15 m
C) 14 m
D) 11.4 m