1
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 _______________.
2
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55, is ____________.
3
JEE Main 2021 (Online) 26th August Morning Shift
Numerical
+4
-1
If $${}^1{P_1} + 2.{}^2{P_2} + 3.{}^3{P_3} + .... + 15.{}^{15}{P_{15}} = {}^q{P_r} - s,0 \le s \le 1$$, then $${}^{q + s}{C_{r - s}}$$ is equal to ______________.
4
JEE Main 2021 (Online) 26th August Morning Shift
Numerical
+4
-1
The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is ______________.
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