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

51) The A.M. of 30 students is 42. Among them, two students got zero marks. Then A.M. of the remaining students is

A) 40
B) 45
C) 50
D) 55

View Answer

B) 45

Explanation:A.M. of 30 students is 42
⇒ Total marks = 30 × 42 = 1260
2 students got zero ⇒ remaining 28 students got 1260 – 0 – 0 = 1260
New A.M. = 1260 / 28 = 45Answer: B. 45

52) The median of 17, 31, 12, 27, 15, 19, 23 is

A) 19
B) 20
C) 21
D) 22

View Answer

A) 19

Explanation:Data: 17, 31, 12, 27, 15, 19, 23
Sorted: 12, 15, 17, 19, 23, 27, 31 → Median is the middle = 19

53) Mode of A, B, C, D ….. Z is

A) 20
B) 21
C) 22
D) No mode

View Answer

D) No mode

Explanation:Mode = Most frequent value
A to Z are all distinct letters
⇒ No repetition
⇒ No mode
Answer: No mode

54) The value of sinθ or cosθ never exceeds

A) -1
B) 1
C) 0
D) None of these

View Answer

B) 1

Explanation:Maximum value of sinθ or cosθ is 1

55) In the figure, the value of cosec A is

A) $\frac{12}{13}$
B) $\frac{13}5$
C) $\frac{13}{12}$
D) $\frac5{13}$

View Answer

C) $\frac{13}{12}$

Explanation:From the figure: triangle with sides 5, 12, 13 → right-angled at B
cosec A = hypotenuse / opposite = 13 / 12
Answer: $\frac{13}{12}$

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