**Category : **5th Class

**Number, Ranking & Time Sequence Test**

**Objectives**

· Students will be able to identify the position of an object/a person from left end or right end.

· They will be able to identify interchanging positions of two persons.

**Introduction**

In this chapter generally the ranks of a person from both sides left or right or from top and from bottom are mentioned and total numbers of persons are asked.

**Types of Questions**

1. Total number of persons and positions of one person (either from left or right) are given.

2. Position of more than one person is given.

3. Ascending/Descending order - according to age, height, weight, marks etc.

**Formulas for Order and Ranking**

Finding rank either from left or from right

Total-(given rank-1) = required rank

Finding total numbers

**Case 1**

When ranks of one person are given from both sides of the row.

Ranks of common person from both sides (R1 + R2) - 1

**Case 2**

When ranks of two persons and numbers of the persons who are sitting between these two persons are given.

(R1 + R2) + number of middle persons

Finding the numbers of persons who are sitting between any two persons

Total - (Rank from left + Rank from the right)

**Finding Rank of Middle Person**

Step 1: Convert both ranks from the same side.

Step 2: Find the average of both ranks.

**Example 1:**

Here is a table

Name |
Rank from top |
Rank from bottom |

Rahul |
5 |
1 |

Kavita |
4 |
2 |

Chetan |
3 |
3 |

Aryan |
2 |
4 |

Raj |
1 |
5 |

Let us discuss about 'Raj?

Raj's rank from top = 1 and from bottom = 5

Total number of persons in the row = 5

Means total rank = (rank from top + rank from bottom) - 1

\[=\left( 1+5 \right)-1=5\]

Rank from top = total rank - (rank from bottom - 1)

\[=5-\left( 5-1 \right)=1\]

Rank from bottom = total rank - (rank from top - 1)

\[=5-\left( 1-1 \right)=5\]

**Example 2:**

In a class of 52 students, Ankur's rank is 18th from the bottom. What is his rank from the top?

(a) 34 (b) 35

(c) 36 (d) 38

**Ans. (b)**

Explanation: Number of students ahead of Ankur \[=\text{ }52-18=34~\]

Now, Ankur's rank from the top \[=\text{ }34+1=35.\]

**Example 3:**

Shweta is eighth from left and Rishabh is thirteenth from right. If there are nine students between them then how many students are there in a row?

(a) 12 (b) 16

(c) 25 (d) 30

**Ans. (d)**

Explanation:

\[\therefore \] Total number of students in a row \[=8+13+9=30\]

**Example 4:**

Jyoti is seventh from left end and is fourth to the left of Manya who is seventh from right end. Then how many students are there in a row?

(a) 17 (b) 18

(c) 16 (d) 14

**Ans. (a)**

Explanation:

Total students in a row \[=7+3+7=17\]

**Example 5:**

Jai is 15th from left and Vijay is 14th from right. When they interchange their positions respectively then Vijay becomes 21st from right end. What will be Jai's position from left after interchanging?

(a) 25 (b) 22

(c) 27 (d) 28

**Ans. (b)**

Explanation:

Jai's position from the left after interchanging \[=15+6+1=22.\]

**Example 6:**

Among five persons, Raja secured more marks than only Kapil. Ashok and Jagdish secured less marks than only Nikhil. Who among them secured third least marks?

(a) Nikhil (b) Raja

(c) Jagdish (d) Cannot be determined

**Ans. (d)**

Explanation:

Nikhil > Ashok / Jagdish > Raja > Kapil

Third least marks = Either Ashok or Jagdish

Hence, it cannot be determined who secured third least marks.

**Example 7:**

If yesterday was Sunday, what day will it be the sixth day from today?

(a) Sunday (b) Friday

(c) Saturday (d) Monday

**Ans. (c)**

Explanation:

If yesterday was Sunday. So today is Monday. Then, sixth day from Monday will be Saturday.

**Example 8:**

Prem correctly remembers that Riya's birthday was after Monday but before Thursday. Vinit correctly remembers that Riya's birthday was after Tuesday but before Saturday, on which day of the week does Riya's birthday definitely fall?

(a) Thursday (b) Wednesday

(c) Friday (d) Tuesday

**Ans. (b)**

Explanation:

According to Prem, Riya's birthday falls = Tuesday or \[Wednesday\]

According to Vinit Riya's birthday falls = \[Wednesday\].., Thursday or Friday

So, Riya's birthday falls on Wednesday.

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