[Download PDF] AP ICET 2nd May 2018 Shift-1 Paper with Solutions

Instructions

For the following questions answer them individually

Question 141

If the arithmetic mean of a, b, c, d and 18 is 17 then the arithmetic mean of at+2b, b+2c, e+3d and 2a-1 is

Video Solution

Question 142

The median of 462, 378, 448, 364, 528, 486, 534, 386 is

Video Solution

Solution

Ascending order of the given numbers is 364, 378, 386, 448, 462, 486, 528, 534

$$\therefore\ $$Median of the given numbers = $$\frac{448+462}{2}$$ = 455

Hence, the correct answer is Option C

Question 143

The mode of the observations 10, 13, 16, 13, 19, 24, 13, 9, 24, 13, 26 is

Video Solution

Solution

The mode is defined as the entity that repeats the maximum number of times

In the given observations, 13 is repeating thrice which is maximum.

$$\therefore\ $$Mode of the given observations = 13

Question 144

The standard deviation of five consecutive positive integers is

Video Solution

Solution

five consecutive positive integers = 1,2,3,4,5

Mean = 3

Standard deviation = $$\sqrt{\frac{\left(\ \left(3-1\right)^2+\left(3-2\right)^2+\left(3-3\right)^2+\left(3-4\right)^2+\left(3-5\right)^2\right)}{5}}$$ = $$\sqrt{\ 2}$$

Question 145

The standard deviation of the first five even natural numbers is

Video Solution

Solution

first five even natural numbers = 2,4,6,8,10

Mean = 6

Standard deviation = $$\sqrt{\frac{\left(\ \left(6-2\right)^2+\left(6-4\right)^2+\left(6-6\right)^2+\left(6-8\right)^2+\left(6-10\right)^2\right)}{5}}$$ = $$\sqrt{\ 8}=2\sqrt{\ 2}$$

Question 146

In the calculation of the rank correlation coefficient $$(\rho)$$ of 9 pairs of observations $$(x_i, y_i)$$, it is found that the sumof the squares of the deviations of the corresponding ranks is 144. Then $$\rho =$$

Video Solution

Question 147

A number is selected from $$S = \left\{1,2,3,......,30\right\}$$ at random. The probability that the number has no square factor other than one is

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Question 148

P and Q are two sets such that n(P) = 5 and n(Q) = 3. A relation from P to Q is selected at random. Then the probability that the relation is not a function is

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Question 149

When two dice are thrown, the probability of getting the sum 9 is

Video Solution

Solution

When two dice are thrown, the possible cases of getting a sum of 9 are (3,6) (4,5) (5,4) (6,3)

Number of favourable cases = 4

Total possibilities = 6 x 6 = 36

$$\therefore\ $$Required probability = $$\frac{4}{36}$$ = $$\frac{1}{9}$$

Hence, the correct answer is Option C

Question 150

Bag I contains 4 white and 3 black marbles while bag II contains 3 white and 5 black marbles. One marble is drawn at random frombag I and put in bag II without seeing it. The probability that a marble drawnfrom bagII is a black one is

Video Solution

CAT Content

AP ICET 2nd May 2018 Shift-1

If the arithmetic mean of a, b, c, d and 18 is 17 then the arithmetic mean of at+2b, b+2c, e+3d and 2a-1 is

The median of 462, 378, 448, 364, 528, 486, 534, 386 is

The mode of the observations 10, 13, 16, 13, 19, 24, 13, 9, 24, 13, 26 is

The standard deviation of five consecutive positive integers is

The standard deviation of the first five even natural numbers is

In the calculation of the rank correlation coefficient $$(\rho)$$ of 9 pairs of observations $$(x_i, y_i)$$, it is found that the sumof the squares of the deviations of the corresponding ranks is 144. Then $$\rho =$$

A number is selected from $$S = \left\{1,2,3,......,30\right\}$$ at random. The probability that the number has no square factor other than one is

P and Q are two sets such that n(P) = 5 and n(Q) = 3. A relation from P to Q is selected at random. Then the probability that the relation is not a function is

When two dice are thrown, the probability of getting the sum 9 is

Bag I contains 4 white and 3 black marbles while bag II contains 3 white and 5 black marbles. One marble is drawn at random frombag I and put in bag II without seeing it. The probability that a marble drawnfrom bagII is a black one is

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