Question Discussion & Solution

The correct answer is 100.

• 100 per cent share of the Central Government in the 'Sambhar wetland project' under the Twelfth Five Year Plan (2012 - 2017).

Additional Information 

• The objectives of the Twelfth Five-Year Plan were:
  • To create 50 million new work opportunities in the non-farm sector.
  • To remove gender and social gap in school enrolment.
  • To enhance access to higher education.
  • To reduce malnutrition among children aged 0–3 years.
  • To provide electricity to all villages.
  • To ensure that 50% of the rural population has access to proper drinking water.
  • To increase green cover by 1 million hectares every year.
  • To provide access to banking services to 90% of households.

The correct answer is 4°C.

• Freezing of Water:
  • As water freezes, cold water (or ice formed) comes on the surface and warm water goes down.
  • Since the freezing temperature of the water is 0ºC or 273 K.
  • So water at the bottom should be at a higher temperature.
  • Water density at 4ºC is more than the density of water at 0ºC, hence the correct option is 4ºC.

​Key Points

• Reason of low temperature at bottom of the top layer:
  • This is due to the process of convection.
  • When the temperature of the water at the top layer reaches the freezing point, it is converted to ice.
  • But ice is lighter than water, so it will not sink to the bottom.
  • So there will be ice on the top surface and water would remain at the bottom of the lake. 

Hence the code for change out is “reshsab”.

Answer: Option 3

Concept:

Tree:

• A tree consists of nodes or vertices that store information and often are labeled by a number or a letter.
• A tree consists of directed edges or undirected edges or both.
• The number of subtrees of a node is called its degree.
• A leaf or a terminal node is a node of degree zero
• A node that is not a leaf is called an interior node or an internal node
• The degree of a node is the number of its children. The degree of a tree is the maximum degree of any of its nodes.

Ancestors of a node in a Tree: 

The ancestor nodes of a node are all parent nodes of that particular node.

Explanation: 

Consider the following Binary Tree 

Every node except the root node (A) has ancestors.

Hence in a tree, the only node that has no ancestors is the root node. (only one node possible)

Additional Information

Full Binary Tree: 

A full binary tree is a binary tree in which each node has exactly two or 0 children.

Complete Binary Tree:

A complete binary tree is a binary tree in which

1. except last level tree is completely filled.
2. The last level is filled from left to right.

Perfect Binary Tree: 

A perfect binary tree is a binary tree in which

1. all interior node or internal nodes has 2 children.
2. all leaves are at the same level.

Balanced Binary Tree: 

A Balanced Binary tree is a binary tree in which at any node height of the left subtree and right subtree do not differ by more than 1.

Important Points

1. A tree with n nodes has n - 1 edge.

2.  consider a nonempty binary tree with n0 leaves and n2 nodes of degree two (internal nodes). Then
n0 = n2 + 1
Applications of Trees: 
1. Huffman Coding
2. Evaluation of Arithmetic Expressions using Expression trees

The computer has evolved from a large-sized simple calculating machine to a much smaller machine capable of multiple functionalities. Each generation of computer is designed based on the hardware technology used leading to better, cheaper and powerful computers that are faster and efficient than their predecessors.

Hence, it can be concluded from the table that vacuum tubes were used by the first generation computers.