CAT Exam Numerical Ability Number System

A test has 80 questions. There is one mark for a correct answer, while there is a negative penalty of -1/2 for a wrong answer and -1/4 for an unattempted question. What is the number of questions answered correctly, if the student has scored a net total of 34.5 marks.

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CAT Other Question

0 0 =1
1 1 =1
2 2 =2
3 3=?
A boy took a seven digit number ending in 9 and raised it to an even power greater than 2000. He then took the number 17 and raised it to a power which leaves the remainder 1 when divided by 4. If he now multiplies both the numbers, what will be unit's digit of the number he so obtains?