TS Polycet (Polytechnic) 2021 Previous Question Paper with Answers And Model Papers With Complete Analysis

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Polycet Mock Test

36) The perimeter of a rhombus is 52 cm, if its one diagonal is 24 cm then the length of its other diagonal is

A) 5 cm
B) 7 cm
C) 9 cm
D) 10 cm

View Answer
D) 10 cm

Explanation:Perimeter of rhombus = 52 → side = 52/4 = 13 cm
One diagonal = 24 cm → use Pythagoras to find the other:
\text{Half diagonals: } ⇒ \left(\frac{d_1}{2}\right)^2 + \left(\frac{d_2}{2}\right)^2 = 13^2 ⇒ (12)^2 + \left(\frac{d_2}{2}\right)^2 = 169 ⇒ 144 + x^2 = 169 ⇒ x^2 = 25 ⇒ x = 5 ⇒ d_2 = 10
Correct Answer: 10 cm

37) The radius of a cone is 7 m and its height is 10 m. then its slant height is …….

A) 12.2 m
B) 13.5 m
C) 14.5 m
D) 16.2 m

View Answer
A) 12.2 m

Explanation:Cone radius r = 7 m, height h = 10 m → slant height = √(r² + h²)
l = \sqrt{7^2 + 10^2} = \sqrt{49 + 100} = \sqrt{149} ≈ 12.2
Correct Answer: 12.2 m

38) If tanθ=cotθ then the value of secθ= ……

A) \frac1{\sqrt2}
B) \frac{\sqrt3}2
C) √2
D) 1

View Answer
C) √2

Explanation:If \tan\theta = \cot\theta, then \tan\theta = 1 ⇒ \theta = 45°
Then,\sec\theta = \frac{1}{\cos\theta} = \frac{1}{\cos 45°} = \frac{1}{\frac{1}{\sqrt{2}}} = \sqrt{2}
Correct Answer: √2

39) The angle at tangent to a circle and the radius drawn at the point of contact is

A) 60°
B) 90°
C) 40°
D) 30°

View Answer
B) 90°

Explanation:Angle between tangent and radius at point of contact is always
Correct Answer: 90°

40) The ratio of volumes of two cones is 4:5 and the ratio of the radii of their bases is 2:3

A) 4:5
B) 9:5
C) 3:5
D) 2:5

View Answer
B) 9:5

Explanation:Volume of cone = \frac{1}{3}\pi r^2 h
Given:\text{Volume ratio} = 4:5, \quad \text{radius ratio} = 2:3 ⇒ r_1^2 = 4, r_2^2 = 9
Let height be h_1, h_2.
\frac{V_1}{V_2} = \frac{r_1^2 h_1}{r_2^2 h_2} = \frac{4 h_1}{9 h_2} = \frac{4}{5} ⇒ \frac{h_1}{h_2} = \frac{9}{5}
Correct Answer: 9:5
Let me know if you’d like a visual explanation for any geometry question.
Let’s solve Questions 41 to 50step by step:

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