TS ICET 19th August 2021 Shift-1

Instructions

For the following questions answer them individually

Question 81

If $$\left(\frac{a}{b}\right)^{x-1} = \left(\frac{b}{a}\right)^{x-3}$$, then the value of x is

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Question 82

The least values of a and b if (7a342b) is divisible by 88 are

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Question 83

When a number is divided by 783 it leaves a remainder 48. What will be the remainder if the same number is divided by 29?

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Question 84

If the GCD of two positive integers is 29 and their sum is 17 4, then their difference is

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Question 85

The LCM of two numbers is 20 times their HCF and the sum of their LCM and HCF is 2520. If the smaller of those numbers is 480. the ratio between the smaller and the bigger number is

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Question 86

A person spent $$\frac{2}{7}$$ of his salary on house rent and $$\frac{3}{5}$$ of the remaining on food and cloths. Rest he saved. If the amount he spent on food and cloths is Rs. 16500, then the amount he saved is (in rupees)

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Question 87

If we put $$\frac{7}{9}, \frac{6}{8}, \frac{5}{6}, \frac{4}{5}$$ in desending order, then the difference between first and second number is

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Question 88

What is the difference between the largest and smallest of the following rational numbers ?
$$\frac{3}{4}, \frac{13}{16}, \frac{5}{7}, \frac{97}{104}$$

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Question 89

If $$p = \sqrt[3]{2}, q = \sqrt[2]{3}, r = \sqrt[4]{5}$$ and $$s = \sqrt[6]{7}$$, then which one of the following ordering is true?

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Question 90

If $$23\frac{1}{3} \%$$ of $$37\frac{2}{7} \%$$ of x is 29, then x =

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