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TS Polycet (Polytechnic) 2019 Previous Question Paper with Answers And Model Papers With Complete Analysis

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51)A ladder 20 mts, leaning to the wall at height of 10 m. Then the angle made by it horizontally is

A) 30°

B) 60°

C) 45°

D) 75°

View Answer

A) 30°
Explanation:sinθ = 10/20 = 1/2 = Sin30°
∴θ = 30°

52)If one card is drawn from a pack, then the probability of getting a king is

A) 1/12

B) 1/13

C) 1/2

D) 15/16

View Answer

B) 1/13
Explanation:n(S) = 52, n(A) = 4
P(A) = n(A)/ n(S) = 4/52 = 1/13

53)From the definition of probability P(E) identify correct statement.

A) P(E)=-1

B) 0 ≤ P(E) ≤ 1

C) P(E) ≥1

D) None

View Answer

B) 0 ≤ P(E) ≤ 1
Explanation:0 ≤ P(E) ≤ 1

54)The probability of getting 53 Fridays-in a leap year is

A) 2/7

B) 1/7

C) 3/7

D) None of these

View Answer

A) 2/7
Explanation:n(S) = 7, n(A) = 2
P(A) = n(A)/ n(S) = 2/7

55)A bag contains 12 pencils, 3 sharpeners and 7 pens, then the probability of drawing a pencil from the bag is

A) 5/11

B) 4/11

C) 3/11

D) 6/11

View Answer

D) 6/11
Explanation:P(E) = $\frac{12}{12+3+7}$

= 12/22 = 6/11

56)For what value of ‘a’; 4, 6, a, 9, 10, 19 will 7.5 be the median?

A) 6

B) 10

C) 7

D) 8

View Answer

A) 6
Explanation:Given 4, 6, a, 9, 10, 19
= $\frac{a+9}2$

= 7.5 ⇒ a + 9 = 15 => a = 6

57)If Median = 60, Mean = 61, then Mode =

A) 58

B) 38

C) 48

D) 68

View Answer

A) 58
Explanation:Mode = 3 Median – 2 Mean
= 3 x 60-2 x 61 = 180- 122 = 58

58)The A.M. for ungrouped data is

A) ∑nx

B) ∑x/n

C) ∑x/n²

D) ∑n²x

View Answer

B) ∑x/n
Explanation:∑x/n

59)Find the mean of first 10 odd multiples of 7.

A) 7

B) 77

C) 70

D) 700

View Answer

C) 70
Explanation:Mean= $\frac{7(1+3+5+................+15+17+19)}{10}$

= 700/10 = 70

60)Which of the following is not a measure of central tendency?

A) Mean

B) Median

C) Range

D) Mode

View Answer

C) Range
Explanation:Range

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