TS Polycet (Polytechnic) 2015 Previous Question Paper with Answers And Model Papers With Complete Analysis

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Q). The probability of guessing the correct answer to a certain test question is x/12. he probability of not guessing the correct answer to this question is 2/3, then x =
A) 2
B) 3
C) 4
D) 6

View Answer
C) 4
Explanation: P(A)= x/12, P(\overline A

Q). The width of the rectangle in a histogram represents
A) mid-values
B) frequency
C) number of classes
D) class interval

View Answer
D) class interval
Explanation: Class interval

Q). Which of the following cannot be determined graphically?
A) Mean
B) Median
C) Mode
D) None

View Answer
A) Mean
Explanation: Mean

Q). The mean of x and 1/x is M, then the mean of x3 and 1/x3 is
A) M3
B) M3+3
C) M(4M2-3)
D) \frac{(4M^2\;\;-\;3)}2M

View Answer
C) M(4M2-3)
Explanation: \overline x = Mean ⇒\frac{x+{\displaystyle\frac1x}}2 =M⇒x+1/x = 2M
Mean = \frac{x^3+{\displaystyle\frac1{x^3}}}2
= \frac12\lbrack(x+\frac1x)^3-3x\frac1x(x+\frac1x)\rbrack
= \frac12\lbrack(2M)^3-3(2M)\rbrack
= \frac12(8M^3-6M)
= 4M3 – 3M = M(4M2-3)

Q). From the following distribution, find the number of pupils who scored less than 40 marks:

Class interval 0-9 10-19 20-29 30-39 40-49 50-59
Frequency 6 5 7 9 8 4
A) 18
B) 11
C) 28
D) 27
View Answer
D) 27
Explanation: The number of pupils who scored less than 40 marks = 6 + 5 + 7 + 9 = 27

Q). From the following table, what is AM?

X 1 2 3 4 ……. n
y 1 2 3 4 ……. n
A) 2n+1
B) \frac{2n+1}2
C) \frac{2n+1}3

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