Division
Division is the distribution of a quantity into some parts, in such a way, so that each of the parts contains equal amount.
Remainder = 42 
Solution: \[\frac{1}{4}\]
Like Fraction
The fractions, which have the same denominators are called like fractions.
Example:
Unlike Fraction
The fractions, which do not have the same denominators, in other words, the fractions with different denominators are called unlike fractions.
In the above figure point A represents\[\frac{1}{3}\], point B represents\[\frac{2}{3}\], and point C represents 1.
Line Segment
Line segment is defined as the shortest distance between two fixed points. For example
It is denoted as \[\overline{AB}\].
Example: How many line segments are there in the figure?
(a) 2 (b) 4
(c) 8 (d) 16
(e) None of these
Answer (c)
Ray
It is defined as the extension of a line segment in one infinitive direction. For example:
It is denoted as \[\overrightarrow{AB}\].
Example: How many rays are there in the given figure?
(a) 2 (b) 4
(c) 12 (d) 16
(e) None of these
Answer (c)
Line
Line is defined as the extension of a line segment infinitive in either direction.
Example: How many lines are there in the following figure?
It is denoted as
(a) 2 (b) 4
(c) 8 (d) 16
(e) None of these
Answer (a)
Angle
Inclination between two rays having common end point is called angle.
Angle is measured in degree. Symbol of the degree is "\[{}^\circ\]" and written as \[a{}^\circ ,\]
Where a is the measurement of the angle.
Types of Angle
There are different types of angles.
Right Angle
An angle whose measure is exactly \[90{}^\circ \] is a right angle.
Acute Angle
An angle whose measure is less than \[90{}^\circ \] is an acute angle.
Obtuse Angle
An angle whose measure is greater than \[90{}^\circ \] but less than \[180{}^\circ \] is a obtuse angle.
Straight Angle
An angle whose measure is \[180{}^\circ \] is a straight angle.
Reflex Angle
An angle whose measure is greater than \[180{}^\circ \] but less than \[360{}^\circ \] is a reflex angle.
Solution: Perimeter of the figure =
\[4\text{ }cm+3\text{ }cm+4\text{ }cm+2.5\text{ }cm+5\text{ }cm+5\text{ }cm\]\[=23.50\text{ }cm.\]
Perimeter of the Triangles
A triangles has three sides. Perimeter of a triangle is the sum of its all the three sides.
Perimeter of the triangle \[ABC=AB+BC+CA\]
Solution: Perimeter of the triangle PQR
\[\begin{array}{*{35}{l}}
=4\text{ }cm+4.7\text{ }cm+6\text{ }cm \\
=14.7\text{ }cm \\
\end{array}\]
Perimeter of the Quadrilateral
Perimeter of a quadrilateral is the sum of the length of its four sides.
In quadrilateral ABCD, perimeter
\[=AB+BC+CD+DA\]
Solution: Perimeter of the quadrilateral
\[=5\text{ }cm+3\text{ }cm+4\text{ }cm+3\text{ }cm=15\text{ }cm\]
Perimeter of Rectangles
Perimeter of a rectangle\[=2\text{ (}Length+Breadth)\].
Perimeter of the square ABCD = \[=4\times AB\]
Shaded part in the above figures represent area.
Unit of the area is \[c{{m}^{2}}\] or \[{{m}^{2}}\].
Area of a Triangle
Area of a triangle = \[\frac{1}{2}\times base\times height.\]
Where base is the one side of a triangle and height is length of line segment drawn \[90{}^\circ \]on the base of that triangle.
Area of more... 
Key: One boy represents 8 students.
(a) How many students were present in class III?
(b) In which class least number of students were present?
(c) How many students were present in class IV and class V together?
(d) How many more students was present in class IV in comparison of class III
Solution:
(a) 16 (b) Class III
(c) 64 (d) 24
Bargraph
When the data is represented on the graph with the help of bars, it is known as Bargraph.
(a) How many fans were sold by the shop during the week?
(b) On which day, maximum number of fans were sold?
(c) How many more fans were sold on Wednesday in comparison to Tuesday?
(d) On which day 400 fans were sold?
Answer:
(a) 2100
(b) Wednesday
(c) 400
(d) Saturday
Here/if we want to separate out one animal then definitely that animal will be cow because cow is the only animal in the group which is a domestic animal. Rest of the animals (lion, tiger, panther, bear and wolf) are wild animals. Hence, rest of the animals (lion, tiger, panther, bear & wolf) form a group of wild animals separating out the domestic animal (cow).
Similarly, out of 6 letters A, M, N X P & Q, we will take out A and form a group of 5 letters M, N, W, P & Q because out of given six letters only A is a vowel while remaining letters form a group of consonants.
Types of Classification
(a) Letter Based Classification.
Such classification is based on letters of English alphabet. So many groups of latter are given in the question in which one group is different from remaining group and hence, the different group will be our answer.
Example 1: Find the odd one out of the following options.
(a) PQT (b) UVY
(c) DEH (d) UN
(e) FGJ
Explanation:
(a) 
(b) 
(c) 
(d) 
As it is clear that except option (d), all the other options have a gap of 2 letters between 2nd and third letter and the 1st two letters are in consecutive order, while in case of option (d), 1st two letters are in consecutive order but there is a gap of 3 letters between 2nd and third letter. This is the reason why option (d) separates itself out of the remaining options. Hence, option (d) is the correct answer.
Example 2: Following are given options and out of them 4 form a more... 
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