TS ICET 30th Sep 2020 Shift-2

Instructions

For the following questions answer them individually

Question 81

If $$x = 17 + 12\sqrt{2}$$ then $$x^{2} + \frac{1}{x^{2}}$$

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Question 82

The number of divisors of 2160 which is of the form 3k, where k is a positive integer is

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Question 83

The remainder when 5! + 6! + 7! + ... + 100! is divided by 35 is __________

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Question 84

The LCM and GCD of two numbers are 4641 and 21 respectively. If one is greater than 300, then find the other number.

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Question 85

If the GCD of two positive integers, m, n is 5, then the GCD of 201 m and 2697n is

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Question 86

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

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Question 87

$$(11 \div 2\frac{1}{5}) \div \frac{11}{5}$$ of $$\div 5\frac{1}{2} -3\frac{1}{2}=$$

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Question 88

The ascending order of the following fractions
$$a = \frac{1}{2}; b = \frac{2}{9}; c = \frac{7}{13}; d = \frac{13}{18}$$ is

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Question 89

If $$a \leq b \leq c \leq d \leq e \leq a$$ and e = 39. then possible value of c is

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Question 90

In a mixture of 450 kg of two food grains A and B, A is 15%. How much quantity of B (in kg) is to be added to this mixture so that A will be 5% in the resulting quantity?

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