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

Instructions

For the following questions answer them individually

Question 81

If $$x = 2 + \sqrt{3}, xy = 1$$, then $$\frac{x}{\sqrt{2} + \sqrt{x}} + \frac{y}{\sqrt{2} - \sqrt{y}} =$$

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Question 82

The number of integers between 100 and 1000 whichare divisible by eachof 4, 5 and6 is

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Question 83

The number of natural numbers k such that $$\frac{3k^2 + 4k + 12}{k}$$ is a prime is

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Question 84

All the numbers 411, 752 and 1031 leave same remainder 8 whendivided by n. The value of n is

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Question 85

The sum of the greatest common divisor (GCD) andthe least common multiple (LCM) is 403 and their LCMis 12 times their GCD. If one of those numbers is 124, then the other number is

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Question 86

$$5 + \frac{1}{6 + \frac{1}{8 + \frac{1}{10}}} =$$

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Question 87

0.6666 ... ... ... + 0.7777 ... ... ... + 0.8888 ... ... ... =

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Question 88

If $$a_1, a_2, a_3$$ and $$a_4$$ is the decreasing order of the elements in $$\left\{\frac{2}{7}, \frac{7}{15}, \frac{5}{8}, \frac{9}{23}\right\}$$ then $$a_1 - a_4 =$$

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Question 89

The largest integer in the set $$\left\{x \epsilon R: \mid x - 2 \mid < 5\right\}$$ is

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Question 90

If 16% of a property is worth Rs 3.52 lakhs then 25% of the property is worth (in lakhs of rupees)

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