TS ICET 2018 Shift 1

Instructions

For the following questions answer them individually

Question 81

If $$a = \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$$ and $$b = \frac{\sqrt{3} + 1}{\sqrt{3} - 1}$$ then the value of $$\frac{a^2 - ab + b^2}{a^2 + ab + b^2}$$ is

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Question 82

The greatest integer not exceeding 2180 whichis divisible by 13 is

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Question 83

The number of positive divisors of 37800 is?

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Question 84

What is the least square number which is divisible by 3, 4, 5 and 6?

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Question 85

If 398, 436 and 542 are divided by k the respective remainders are 7. 11 and 15 then the largest value of k is?

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Question 86

$$\frac{1.75 \times 1.75 \times 1.75 + 1.25 \times 1.25 \times 1.25}{1.75 \times 1.75 - 1.75 \times 1.25 + 1.25 \times 1.25} =$$

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Question 87

0.333 ..........+0.444 ........ =

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Question 88

If $$a = \frac{22}{5}, b = \frac{32}{7}, c = \frac{50}{11}$$ and $$d = \frac{57}{13}$$ then

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Question 89

What is the ascending orderof the fractions $$\frac{6}{11}, \frac{5}{14}, \frac{9}{10}, \frac{8}{13}, \frac{7}{9}, ?$$

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Question 90

If 2a% of b is c then 3a% of 5b is?

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