The past tense of "you pass the exam" is "you passed the exam."
Techinically, "exam" is a noun, and does not have a past tense form. If used like "examine", then the past tense would be "examined".
The word exam does not have a past participle as it is a noun and not a verb.The past participle of the verb form examine is examined.
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Pass is the present tense or the future tense. For example, "I want to pass my exam" or, "I will pass my exam" Passed is the past tense. For example "Last week I passed my exam" Past is unrelated. Past is something that has happened, for example, "What happened last week is in the past"
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A past paper refers to college or university exam papers from previous years that professors use as exam practice or regular tests. Past papers are now on the internet of many college and universities.
IIT Kanpur has always conducted the IITJEE Exam.
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