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

Q). 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°

Q). 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

Q). 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

Q). 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

Q). 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

Q). 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

Q). 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

Q). 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

Q). 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

Q). 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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