1
JEE Main 2022 (Online) 29th June Morning Shift
Numerical
+4
-1

Let b1b2b3b4 be a 4-element permutation with bi $$\in$$ {1, 2, 3, ........, 100} for 1 $$\le$$ i $$\le$$ 4 and bi $$\ne$$ bj for i $$\ne$$ j, such that either b1, b2, b3 are consecutive integers or b2, b3, b4 are consecutive integers. Then the number of such permutations b1b2b3b4 is equal to ____________.

2
JEE Main 2022 (Online) 27th June Evening Shift
Numerical
+4
-1

Let A be a matrix of order 2 $$\times$$ 2, whose entries are from the set {0, 1, 2, 3, 4, 5}. If the sum of all the entries of A is a prime number p, 2 < p < 8, then the number of such matrices A is ___________.

3
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1

The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least 2 blue cubes, is _____________.

4
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1

The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is ___________.