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

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21)If a, b, c are in A.P., then b – a =

A) (a+c)/2

B) c-b

C) b²-1

D) a-b

View Answer

B) c-b

22)If a, b, c are in G.P., then a/b =

A) b/a

B) b/c

C) c/b

D) c/a

View Answer

B) b/c

23)Sum of natural numbers from 1 to 100

A) 4050

B) 10100

C) 5500

D) 5050

View Answer

D) 5050
Explanation:Sum of ’n’ terms = ∑n = n(n+1)/2
Sum of’100’tenms = ∑I00
= 100(100+1)/2
= 100×101/2
= 5050

24)The co-ordinates of point which intersects the line joining the points (2, 3) and (4, 5) in the ratio 1 : 2 internally

A) (-8/3,11/3)

B) (8/3,11/3)

C) (8/3,-11/3)

D) None

View Answer

B) (8/3,11/3)
Explanation:Given points (2, 3) and (4, 5)
X₁ y₁ =
X₂ y₂
m₁ : m₂ = 1 : 2
Required point
= ( $\frac{m_{{}_1}x_2+m_2x_1}{m_{{}_1}+m_2}, \frac{m_{{}_1}y_2+m_2y_1}{m_{{}_1}+m_2}$

)
= [ $\frac{1(4)+2(2)}{1+2}, \frac{1(5)+2(3)}{1+2}$

] =[ $\frac{4+4}3, \frac{4+4}3$

] = (8/3,11/3)

25)In the following equations, line passing through origin is

A) Y = mx

B) Y = mx-c

C) Y = cx+m

D) Y = c

View Answer

A) Y = mx

26)The slope of the straight line ax + by + c = 0 is

A) a/b

B) b/a

C) –a/b

D) –b/a

View Answer

C) –a/b

27)The area of triangle having the sides 3 cm, 4 cm, 5 cm

A) 4

B) 5

C) 6

D) 7

View Answer

C) 6
Explanation:Given a = 3, b = 4, c = 5
Perimeter of a △^le = 3 + 4 + 5 = 12
2s = 12 ⇒ s = 6
s — a = 6-3 = 3
s-b=6-4=2
s-c = 6- 5 = 1
∴ Area of △^le
= $\sqrt{s(s-a)(s-b)(s-c)}$

= $\sqrt{6x3x2x1}$

= $\sqrt{6^2}$

= 6

28)The number of angles in a triangle is

A) 3

B) 4

C) 5

D) 6

View Answer

A) 3

29)The angles of a triangle are in the ratio 1:2:3. Then the least angle is

A) 15°

B) 30°

C) 45°

D) 60°

View Answer

B) 30°

30)The ratio of the corresponding sides of 7 two similar triangles is 5 : 3, then the ratio of the areas is

A) 5 : 3

B) 3 : 5

C) 25 : 9

D) 9 : 25

View Answer

C) 25 : 9
Explanation:Ratio of areas = 5² : 3² = 25 : 9

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