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

Polycet Mock Test

41) Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube then the length of the edge of the new cube is

A) 9 cm
B) 8 cm
C) 7 cm
D) 6 cm

View Answer

A) 9 cm

Explanation:Three cubes with sides 6 cm, 8 cm, and 1 cm are melted to form a new cube.
Volume of cube = a³

Total volume:
= 6³ + 8³ + 1³
= 216 + 512 + 1
= 729 cm³
New cube’s edge:
$= \sqrt[3]{729} = 9 \, \text{cm}$
Correct Answer: 9 cm

42) If A+B=90° and cot B= $\frac34$ then the value of tan A= …..

A) $\frac34$
B) $\frac45$
C) $\frac13$
D) $\frac14$

View Answer

A) $\frac34$

Explanation:If A + B = 90° and $\cot B = \frac{3}{4}$ , find $\tan A$
Since A = 90° – B,
Then $\tan A = \cot B = \frac{3}{4}$
Correct Answer: $\frac{3}{4}$

43) In the figure, AP=12cm,PB=16cm. Let π=3, then the perimeter of the shaded portion is

A) 52 cm
B) 58 cm
C) 56 cm
D) 62 cm

View Answer

B) 58 cm

44) If the diameter of a sphere is ‘d’ then its volume is

A) $\frac16\mathrm{πd}^3$
B) $\frac43\mathrm{πd}^3$
C) $\frac1{24}\mathrm{πd}^3$
D) $\frac13\mathrm{πd}^3$

View Answer

A) $\frac16\mathrm{πd}^3$

Explanation:Diameter = d → radius = d/2
Volume of sphere:
$V = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \left( \frac{d}{2} \right)^3 = \frac{4}{3} \pi \cdot \frac{d^3}{8} = \frac{\pi d^3}{6}$
Correct Answer: $\frac{1}{6} \pi d^3$

45) A reservoir is in the shape of frustum of right circular cone. It is 8 m across at the top and 4 m cross at the bottom. It is 6 m deep then its capacity is

A) 704 m³
B) 174 m³
C) 127 m³
D) 170 m³

View Answer

A) 704 m³

Explanation:Volume of a frustum:
$V = \frac{1}{3} \pi h (R^2 + r^2 + Rr)$
Given:
Top radius R = 4, bottom radius r = 2, height h = 6, π = 3.14
$V = \frac{1}{3} \cdot 3.14 \cdot 6 \cdot (16 + 4 + 8) = \frac{1}{3} \cdot 3.14 \cdot 6 \cdot 28 = 3.14 \cdot 56 = 175.84$
Closest option:
Correct Answer: 170 m³

Spread the love

Leave a Reply Cancel reply