TS Polycet (Polytechnic) 2020 Previous Question Paper with Answers And Model Papers With Complete Analysis

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Q) The median of the marks scored by 100 students in a 25 marks Unit test is

Marks 0-5 5-10 10-15 15-20 20-25
No. of students 10 18 42 13 7
A) 12
B) 12.3
C) 12.6
D) 12.7
View Answer
B) 12.3
Explanation: n/2 = 90/2 = 45
45 lies in the class = 10 — 15
∴ Median class = 10 – 15; h = 5
n/2 – c.f
median = l\;+\frac{n/2\;-\;c.f}f x h
= 10\;+\frac{90/2\;-\;28}{42} x 5
= 10 + 17/42 x 5
= 10+85/42
= 10+2.023
= 12.023 = 12.3

Q) A number chosen from 1 to 100. Find the probability that it is a prime number.
A) 1/2
B) -1/4
C) 1/4
D) -1/2

View Answer
C) 1/4
Explanation: n(S) = 100, n(A) = 25
∴ P(A) = n(A)/n(S) = 25/100 = 1/4

Q) In hundred numbers 20 are fours, 40 are fives, 30 are sixes remaining are tens arithmetic mean is
A) 3.5
B) 5.6
C) 4.7
D) 5.8

View Answer
B) 5.6
Explanation: Arithmetic mean = \frac{20x-4x40x5+30x6+10x10}{100}
\frac{80+200+180+100}{100}
= 560/100 = 5.6

Q) If a coin is tossed 3 times, then the probability of getting at least one head is
A) \frac38
B) \frac58
C) \frac18
D) \frac78

View Answer
D) \frac78

Q) A bag contains 6 red balls, 12 green balls and 8 black balls. Find the probability that the ball drawn is either a black or a red ball.
A) \frac{13}7
B) \frac1{13}
C) \frac7{13}

View Answer
C) \frac7{13}

Q) The mean of 17, 4, 8, 6 and 15 in m, the median of 8, 14,10, 5, 7, 5, 20, 19 and n is (m – 1). Then the values of m and n are
A) m = 9, n = 10
B) m = 10, n = 9,
C) m = 5, n = 9
D) None of these

View Answer
B) m = 10, n = 9,
Explanation: Mean = m
= \frac{17+4+8+6+15}5 = m
M = 50/5 = 10
∴ m = 10
Median (n) = m-1
N = 10-1 (∴ m = 10)
∴ n = 9
∴ m = 10, n = 9

Q) If two dice are rolled simultaneously, then the probability that the numbers on them are different is
A) \frac56

View Answer
A) \frac56

Q) Ratio of volume of cylinder and cone whose radii are equal and having same heights
A) 1 : 3
B) 1 : 2
C) 3 : 1
D) 2 : 1

View Answer
C) 3 : 1
Explanation: Ratio =π r2h: 1/3 π r2h
= 1 : 1/3
3 : 1

Q) If A = 45°, B = 60°, then sin A + cos B =
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}

Q) If A = π/4, then (1 + tan A) (1 + tan2A) (1 + tan3A) =
A) 6
B) 4
C) 8
D) 2

View Answer
C) 8
Explanation: A = π/4 = 45°
=(1 + tan A) (1 + tan2A) (1 + tan3A)
= (1 + tan 45°) (1 + tan2 45°) (1 + tan3 45°)
= (1 + 1) (1 + 1) (1 + 1) = 2 x 2 x 2 = 8
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