Mathematics Mock Test - 11

In a five-year plan with a total allocation of $\text{₹}36,000$ crore, the angle for Employment is $120^{\circ }$. Which head is allocated maximum funds if the angles are Agriculture ($90^{\circ }$), Industry ($45^{\circ }$), Education ($30^{\circ }$), and Miscellaneous ($75^{\circ }$)?

In the same five-year plan (Total $\text{₹}36,000$ crore), how much money is allocated to Education if its angle is $30^{\circ }$?

In the same plan, how much money is allocated to both Agriculture (Angle: $90^{\circ }$) and Employment (Angle: $120^{\circ }$)?

How much excess money is allocated to Miscellaneous (Angle: $75^{\circ }$) over Education (Angle: $30^{\circ }$)?

Three vertices of a parallelogram $ABCD$ are $A(1,2,3)$, $B(-1,-2,-1)$ and $C(2,3,2)$. The coordinates of the fourth vertex $D$ are: