1
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1

In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, $$-$$2 marks for each wrong answer and 0 mark if the question is not attempted. Then, the number of ways a student appearing in the examination gets 5 marks is ____________.

2
JEE Main 2021 (Online) 1st September Evening Shift
Numerical
+4
-1
All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearing together. The arrangements are listed serially in the alphabetic order as in the English dictionary. Then the serial number of the word FARMER in this list is ___________.
3
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is ___________.
4
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
Let S = {1, 2, 3, 4, 5, 6, 9}. Then the number of elements in the set T = {A $$\subseteq$$ S : A $$\ne$$ $$\phi$$ and the sum of all the elements of A is not a multiple of 3} is _______________.