[Download PDF] TS ICET 23rd May 2019 Shift-2 Paper with Solutions

Instructions

For the following questions answer them individually

Question 141

The arithmetic mean of 10 observations is 48. If two more observations 65 and 75 are added to the data. then the arithmetic mean of the entire data of 12 observations is:

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Solution

The mean of 10 observation is 48

Likewise the mean if the two added observation is 70(65+75/2=70)

Using Alligation method:

Step 1: 10 2

48 70

?

Step 2: 48 70

?

5 : 1

Step 3: 5+1=22

1=11/3

so as 1=11/3,so 5=55/3

putting those values we get ,

Step4: 48 70

?

55/3 : 11/3

Step 5: 48 70

155/3 OR 15 2/3

55/3 11/3

Question 142

The median of first 2n natural numbers is

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Question 143

Fora data the medianis 53.5 and the meanis 53.8. Then mode of the data is

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Question 144

The standard deviation of first 25 natural numbers is

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Question 145

The variance of first n natural numbers is

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Question 146

If the sum of squares of the deviations of ranks of two players in n sports is $$\frac{2n(n + 1)}{3}$$, then the coefficient of rank correlation is

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Question 147

If A and B are two events in a random experiment with the probabilities $$P(A) = \frac{3}{8}, P(B) = \frac{1}{3}$$ and $$P(A \cap B) = \frac{1}{4}$$, then $$P(\overline{A} \cap \overline{B}) =$$ Here $$\overline{A}$$ is the complementary event of A

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Question 148

If a numberis selected at randomout of the first 120 natural numbers, then the probability that it is a composite number is

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Solution

1 is neither composite nor prime no,

Eliminating the remaining prime no from the first 120 natural numbers we get 89 numbers which are composite numbers,

Hence, 89/120

Question 149

If three vertices are selected at random fromthe vertices of an octagon, then the probability that no two of their three vertices are adjacent to each other is

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Question 150

If four boys and five girls sit in a row at random, then the probability that all boys sit together is

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CAT Content

TS ICET 23rd May 2019 Shift-2

The arithmetic mean of 10 observations is 48. If two more observations 65 and 75 are added to the data. then the arithmetic mean of the entire data of 12 observations is:

The median of first 2n natural numbers is

Fora data the medianis 53.5 and the meanis 53.8. Then mode of the data is

The standard deviation of first 25 natural numbers is

The variance of first n natural numbers is

If the sum of squares of the deviations of ranks of two players in n sports is $$\frac{2n(n + 1)}{3}$$, then the coefficient of rank correlation is

If A and B are two events in a random experiment with the probabilities $$P(A) = \frac{3}{8}, P(B) = \frac{1}{3}$$ and $$P(A \cap B) = \frac{1}{4}$$, then $$P(\overline{A} \cap \overline{B}) =$$ Here $$\overline{A}$$ is the complementary event of A

If a numberis selected at randomout of the first 120 natural numbers, then the probability that it is a composite number is

If three vertices are selected at random fromthe vertices of an octagon, then the probability that no two of their three vertices are adjacent to each other is

If four boys and five girls sit in a row at random, then the probability that all boys sit together is

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