TS Polycet (Polytechnic) 2022 Previous Question Paper with Answers And Model Papers With Complete Analysis

51) If mode=29, mean=32 then median =

A) 29.5
B) 30
C) 30.5
D) 31

View Answer

D) 31

Explanation:Using: Mode = 3(Median) – 2(Mean) ⇒ 29 = 3M – 64 ⇒ 3M = 93 ⇒ Median = 31

52) In the right angle △ABC, ∠B=90°, tanc= $\frac5{12}$ then the length of hypotenuse is

A) 16
B) 13
C) 21
D) 17

View Answer

B) 13

Explanation:tanC = 5/12 ⇒ opposite = 5, adjacent = 12 ⇒ hypotenuse = √(5² + 12²) = √169 = 13

53) If tan(A-B) = $\frac1{\sqrt3}$ , COS A= $\frac12$ then ∠B=

A) $\frac{2\mathrm\pi}3$
B) $\frac{\mathrm\pi}4$
C) $\frac{\mathrm\pi}6$
D) $\frac{\mathrm\pi}3$

View Answer

D) $\frac{\mathrm\pi}3$

Explanation:tan(A-B) = 1/√3 ⇒ A-B = 30°, also cosA = 1/2 ⇒ A = 60° ⇒ B = 30°

54) If A=45°, B=60°, then sinA + cosB

A) $\frac{2-\sqrt2}{2\sqrt2}$
B) $\frac{2+\sqrt2}2$
C) $\frac{2+\sqrt2}{\sqrt2}$
D) $\frac{2+\sqrt2}{2\sqrt2}$

View Answer

D) $\frac{2+\sqrt2}{2\sqrt2}$

Explanation:sin45° = 1/√2, cos60° = 1/2 ⇒ sinA + cosB = 1/√2 + 1/2 = (2 + √2)/2√2

55) The length of the shadow of a vertical pole is √3 times its original length. The angle of elevation to the sun is

A) 30°
B) 45°
C) 60°
D) 90°

View Answer

A) 30°

Explanation:tanθ = h/base = 1/√3 ⇒ angle = 30°

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