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

Instructions

For the following questions answer them individually

AP ICET 2018 Shift-1 (2nd May) - 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

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AP ICET 2018 Shift-1 (2nd May) - Question 142

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

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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

AP ICET 2018 Shift-1 (2nd May) - Question 143

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

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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

AP ICET 2018 Shift-1 (2nd May) - Question 144

The standard deviation of five consecutive positive integers is

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Solution

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

Mean = 3

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

AP ICET 2018 Shift-1 (2nd May) - Question 145

The standard deviation of the first five even natural numbers is

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Solution

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

Mean = 6

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

AP ICET 2018 Shift-1 (2nd May) - 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 $$\rho =$$

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AP ICET 2018 Shift-1 (2nd May) - 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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AP ICET 2018 Shift-1 (2nd May) - 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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AP ICET 2018 Shift-1 (2nd May) - Question 149

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

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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

AP ICET 2018 Shift-1 (2nd May) - 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

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CAT Content

AP ICET 2018 Question Paper Shift-1 (2nd May)

AP ICET 2018 Question Paper Shift-1 (2nd May)

AP ICET 2018 Shift-1 (2nd May) - Question 141

AP ICET 2018 Shift-1 (2nd May) - Question 142

AP ICET 2018 Shift-1 (2nd May) - Question 143

AP ICET 2018 Shift-1 (2nd May) - Question 144

AP ICET 2018 Shift-1 (2nd May) - Question 145

AP ICET 2018 Shift-1 (2nd May) - Question 146

AP ICET 2018 Shift-1 (2nd May) - Question 147

AP ICET 2018 Shift-1 (2nd May) - Question 148

AP ICET 2018 Shift-1 (2nd May) - Question 149

AP ICET 2018 Shift-1 (2nd May) - Question 150

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