1
JEE Main 2021 (Online) 26th February Evening Shift
Numerical
+4
-1
The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is _________.
2
JEE Main 2021 (Online) 26th February Evening Shift
Numerical
+4
-1
If the arithmetic mean and geometric mean of the pth and qth terms of the
sequence $$-$$16, 8, $$-$$4, 2, ...... satisfy the equation
4x2 $$-$$ 9x + 5 = 0, then p + q is equal to __________.
3
JEE Main 2021 (Online) 25th February Morning Shift
Numerical
+4
-1
Let A1, A2, A3, ....... be squares such that for each n $$\ge$$ 1, the length of the side of An equals the length of diagonal of An+1. If the length of A1 is 12 cm, then the smallest value of n for which area of An is less than one, is __________.
4
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1
The sum of first four terms of a geometric progression (G. P.) is $${{65} \over {12}}$$ and the sum of their respective reciprocals is $${{65} \over {18}}$$. If the product of first three terms of the G.P. is 1, and the third term is $$\alpha$$, then 2$$\alpha$$ is _________.