TS ICET 2018 Shift 2

Instructions

For the following questions answer them individually

Question 81

For $$k \neq 0$$; if $$a = \sqrt[3]{k} - \frac{1}{\sqrt[3]{k}}$$ then, $$a^3 + 3a =$$

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Question 82

Which of the following numbers is divisible by 11?

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Question 83

What is the number in the units place of $$(359)^{59}?$$

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Question 84

The ged of two numbers is 85 and their sum is 1020. One suchpair of the numbers is

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Question 85

What is smallest number of 5 digits which is divisible by 12, 15, 20 and 35?

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Question 86

$$3.2575757, ....... = \frac{a}{b}$$, gcd (a, b) = 1 \Rightarrow a - b =

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Question 87

If $$\frac{5}{8}th$$ of a number x is subtracted from $$\frac{25x}{32}$$, the result is 320. Then x =

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Question 88

The largest among $$\frac{1}{2}, \frac{11}{23}, \frac{3}{8}, \frac{9}{16}$$ is

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Question 89

If $$a = \sqrt[3]{11}, b = \sqrt[4]{23}$$ and $$c = \sqrt[6]{119}$$ then the decreasing order of a, b, c is

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Question 90

$$4\frac{1}{3}\%$$ of $$5\frac{2}{7}\%$$ of $$x = 962 \Rightarrow x =$$

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