TS Polycet (Polytechnic) 2018 Previous Question Paper with Answers And Model Papers With Complete Analysis

Q). If the ratio of radii of two spheres is 2 : 3, then the ratio of their surface areas is
A) 3 : 2
B) 4 : 9
C) 9 : 4
D) 8 : 27

Q). Ratio of volumes of a Cone, a Cylinder and a Hemi-sphere of same base radius and equal heights is ……………..
A) 1 : 2 : 3
B) 3 : 2 : 1
C) 1 : 3 : 2
D) 3 : 1 : 2

View Answer

C) 1 : 3 : 2
Explanation: Required ratio of volumes of a cone, cylinder and a hemi-sphere
= πr²h : πr²h : πr²h
=1/3 :1/1:2/3
= 1:3:2

Q). The area of equilateral triangle is 36 √3 cm² , then the perimeter is…………………. cm
A) 16
B) 32
C) 36
D) 72

View Answer

C) 36
Explanation: Area of equilateral △^le = 36√3
⇒ a² = 4 x 36
⇒a = =2 x 6 = 12 cm
Perimeter of equilateral triangle
= 3 x side = 3 x 12 = 36 cm

Q). If 3 tan A = 4 then sin A =
A) 3/4
B) 4/3
C) 4/5
D) 3/5

Q). =
A) 1/√3
B) √3
C) 1/2
D) 3

View Answer

B) √3
Explanation:
= tan2θ = tan.2.30°
= tan 60° = √3

Q). tan 48° . tan 42° =
A) 0
B) 1
C) 2
D) 3

Q). (1 -cosθ) (1 + cosθ) =
A) sin²θ
B) cos²θ
C) tan²θ
D) cot²θ

Q). If tanθ -cotθ = 1 then tan²θ + cot²θ =
A) 1
B) 2
C) -1
D) 3

Q). If x = a cosθ, y = b secθ ⇒
A) xy = a²b²
B) x² y² = ab
C) x² y² = a² b²
D) None

Q). Length of shadow of a 12 m high pole is 4√3 metres in the morning. What is the angle of elevation of the sun rays with the ground at that time?
A) 30°
B) 45°
C) 15°
D) 60°