GATE ES 2022 Paper 1 — page 18

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

The area of the region (rounded off to one decimal place) enclosed between the curves

and

and between the lines

and

is ________ units.

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An individual has four different email accounts. 60% of emails come into his corporate account, 30% come into his gmail account and remaining 10% are equally divided into his yahoo and zoho accounts. Only 1% of the emails in his corporate accounts are spam, whereas corresponding percentages for gmail, yahoo and zoho accounts are 2%, 3% and 3%, respectively. Assuming that the same spam filter is used in all the email accounts, the probability (in percentage, rounded off to one decimal place) of having a randomly selected email as spam is __________.

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A solution has 0.01 mole/L zinc ions having pH of 6. Solubility product of zinc hydroxide is given as

(mole/L)³. Ignoring activity corrections, the ratio (rounded off to two decimal places) of reaction coefficient to solubility product would be __________.

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2022 · Paper 1

Question 52

Question 53

Question 54