1
JEE Main 2021 (Online) 16th March Evening Shift
+4
-1
Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA respectively. Let $$\alpha$$ be the number of triangles having these points from different sides as vertices and $$\beta$$ be the number of quadrilaterals having these points from different sides as vertices. Then ($$\beta$$ $$-$$ $$\alpha$$) is equal to :
A
717
B
795
C
1890
D
1173
2
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
A natural number has prime factorization given by n = 2x3y5z, where y and z are such
that y + z = 5 and y$$-$$1 + z$$-$$1 = $${5 \over 6}$$, y > z. Then the number of odd divisions of n, including 1, is :
A
11
B
6
C
12
D
6x
3
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only is :
A
35
B
42
C
82
D
77
4
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
The total number of positive integral solutions (x, y, z) such that xyz = 24 is :
A
36
B
24
C
45
D
30
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