AP ICET 10th September 2020 Shift-2

Instructions

For the following questions answer them individually

Question 81

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

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Question 82

If $$19^5 + 21^5$$ is divisible by p, then p =

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Question 83

$$7^{12} - 4^{12}$$ is exactly divisible by

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Question 84

The LCM of two numbers is 20 times their HCF. The snm of their LCM and HCF is 2520. If one of those numbers is 480, then twice the other number is

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Question 85

The HCF and LCM of two numbers are 21 and 4641 respectively. If one of those numbers lies between 200 and 300, then the sum of those two numbers is

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Question 86

If $$92 \times 576 \div \sqrt{1296} + 10 = x^3 + 144 + \sqrt{49}$$, then the number that comes in the place of $$x$$ is

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Question 87

If $$\sqrt{94.09} + 623.45 - \sqrt{125.44} = (?) - \sqrt[3]{6859}$$, then the number that should come in place of (?) is

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Question 88

If $$A = \sqrt{7} - \sqrt{5}, B = \sqrt{5} - \sqrt{3}, C = \sqrt{9} - \sqrt{7}$$ and $$D = \sqrt{11} - \sqrt{9}$$, then which one of the following is a correct ordering?

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Question 89

The grea test among the numbers $$\sqrt[4]{2}, \sqrt[5]{3}, \sqrt[10]{6}$$ and $$\sqrt[20]{15}$$ is

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Question 90

A trader marks the price of an article 40% higher than its cost price. He allows 5% discount. Had the cost price been 20% higher and discount 15%, he would have sold it for Rs. 98 more. Then the cost price of that article in Rs.) is

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