TS ICET 2021 Question Paper Shift-1 (20th Aug)

Instructions

For the following questions answer them individually

TS ICET 2021 Shift-1 (20th Aug) - Question 81


$$\frac{1}{\sqrt{18}+3}+\frac{1}{\sqrt{27}+\sqrt{18}}+\frac{1}{\sqrt{36}+\sqrt{27}}+...+\frac{1}{\sqrt{900}+\sqrt{891}} =$$

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TS ICET 2021 Shift-1 (20th Aug) - Question 82


If $$2^{2}$$ divides 19!, then the largest positive integer k is

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TS ICET 2021 Shift-1 (20th Aug) - Question 83


The remainder when $$(48)^{5}$$ is divided by 5 is

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TS ICET 2021 Shift-1 (20th Aug) - Question 84


What is the least number that should be subtracted from 5337 to make it a perfect square?

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TS ICET 2021 Shift-1 (20th Aug) - Question 85


If the LCM and the GCD of two positive integers are 4641 and 21 respectively, and if one of the numbers is greater than 300 then the other number is

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TS ICET 2021 Shift-1 (20th Aug) - Question 86


The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is _______

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TS ICET 2021 Shift-1 (20th Aug) - Question 87


If the numerator of a fraction is increased by 2 and the denominator is increased by 3, the fraction becomes $$\frac{7}{9}$$ and if both the numerator as well as the denominator are increased by 1, the fraction betomes $$\frac{4}{5}$$. What is the original fraction?

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TS ICET 2021 Shift-1 (20th Aug) - Question 88


If the fraction $$\frac{19}{21}, \frac{21}{25}, \frac{25}{29}, \frac{29}{31}$$ and $$\frac{31}{37}$$ are arranged in the ascending order, then the largest fraction is

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TS ICET 2021 Shift-1 (20th Aug) - Question 89


The ascending order of the following rational numbers is

$$A = \frac{4}{9};B = \frac{7}{12};C = \frac{3}{7};D = \frac{8}{15};E = \frac{1}{2}$$

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TS ICET 2021 Shift-1 (20th Aug) - Question 90


The price of petrol is increased by 40%. By how much percent should a citizen reduce his purchase so as not to increase his expenditure?

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