The number of triangles with integer sides and with perimeter 15 is _______

Person A borrows Rs. 4000 from another person B for a duration of 4 years. He borrows a portion of it at 3% simple interest per annum, while the rest at 4% simple interest per annum. If B gets Rs. 520 as total interest, then the amount A borrowed at 3% per annum in Rs. is _______

If \(A = \begin{bmatrix} x_1 & x_2 & 7 \\ y_1 & y_2 & y_3 \\ z_1 & 8 & 3 \end{bmatrix}\) is a matrix such that the sum of all three elements along any row, column or diagonal are equal to each other, then the value of determinant of A is ______

If \(4^{\log_2 x} - 4x + 9^{\log_3 y} - 16y + 68 = 0\), then \(y - x\) equals _______

The angle of elevation of the top of a pole from a point A on the ground is \(30^\circ\). The angle of elevation changes to \(45^\circ\), after moving 20 metres towards the base of the pole. Then the height of the pole, in metres, is

The following table shows the number of employees and their median age in eight companies located in a district. Company | Number of employees | Median age A | 32 | 24 B | 28 | 30 C | 43 | 39 D | 39 | 45 E | 35 | 49 F | 29 | 54 G | 23 | 59 H | 16 | 63 It is known that the age of…

If \(|x+1| + (y+2)^2 = 0\) and \(ax - 3ay = 1\), then the value of a is

The following table shows the number of employees and their median age in eight companies located in a district. Company | Number of employees | Median age A | 32 | 24 B | 28 | 30 C | 43 | 39 D | 39 | 45 E | 35 | 49 F | 29 | 54 G | 23 | 59 H | 16 | 63 It is known that the age of…

If \(\log_4 x = a\) and \(\log_{25} x = b\) then \(\log_x 10\) is