List of practice Questions

Literacy rate of country is an indicator of its socio-economic development.
Population distribution is uneven.

Branches of physical geography:
Identify the incorrect factor: 

Skills of geographers:
Identify the incorrect factor: 

Characteristics of region:
Identify the incorrect factor: 

Mineral based industries:
Identify the incorrect factor: 

Primary economic activity factor which is not related directly to latitude:
Identify the incorrect factor: 

Which is an encyclopedia of geographer's knowledge consisting of 17 volumes:

Functional region:
Identify the agro-based industries:

Commercial lumbering is mainly carried in __________:

Reasons of migration:

Write True or False:
Nowadays mapping is mostly done using GIS software.

Write True or False:
Bilateral trade and multilateral trade are the main types of international trade.

Write True or False:
Iron and steel industry depends on minerals.

Write True or False:
The farm size is small in extensive commercial agriculture.

Write True or False:
Land use patterns in rural areas are different from urban areas.

Complete the chain and rewrite in your answer paper:

Minimize Z = 5x + 3y \text{ subject to the constraints} \[ 4x + y \geq 80, \quad x + 5y \geq 115, \quad 3x + 2y \leq 150, \quad x \geq 0, \quad y \geq 0. \] 

{(a)Function \( f : \mathbb{R} \to \mathbb{R} \) is defined by \( f(x) = 5x, \forall x \in \mathbb{R} \). Select the correct answer:}
(c) If the unit vectors \( \vec{a}, \vec{b}, \vec{c} \) are such that \( \vec{a} + \vec{b} + \vec{c} = \vec{0} \), find the value of \( \vec{a} \cdot \vec{b} + \vec{b} \cdot \vec{c} + \vec{c} \cdot \vec{a} \):
(b) If \( A = \begin{bmatrix} 2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2 \end{bmatrix} \), find \( A^{-1} \).
If the matrices \( X + Y = \begin{bmatrix} 5 & 2 \\ 0 & 9 \end{bmatrix} \) and \( X - Y = \begin{bmatrix} 3 & 6 \\ 0 & -1 \end{bmatrix} \), then find the matrices \( X \) and \( Y \).
If \( y = (\cot x)^{\sin x} + x^x \), then find \( \frac{dy}{dx} \).
If \[ A = \begin{bmatrix} 3 & 1 & 1 \\ 15 & 6 & 5 \\ 5 & 2 & 2 \end{bmatrix} \] then find \( A^{-1} \).