# 11th Class Mental Ability Ranking and Ordering-Test Notes - Ranking & Number Sequence Test

Notes - Ranking & Number Sequence Test

Category : 11th Class

# Ranking & Number Sequence Test

Learning Objectives

• Introduction
• Number Test
• Raking Test
• Time Sequence Test
• Logical Sequence of Words

Number, Ranking and Time Sequence Test

In this chapter we deal with questions which are followed with a sequence consisting of numbers, ranking time and logical sequence of words. We have to find answers on the basis of given condition. The importance of such types of questions cannot be overemphasised as their presence in a test of reasoning is almost certain.

Though no explanations are required as how to attempt these questions in exams, in this chapter generally we deal with four types of questions. They are given section wise with solution as well.

1st: Number test

2nd: Ranking Test

3rd: Time sequence Test,

4th: Logical sequence of words

Number Test

Number test problems consists of number sequence/ problems with algebraic expressions, mathematical calculations and other compatible problems.

• Example:
1. How many such 7s are there in the following number sequence which are followed by 4 but not immediately preceded by 8?

5 4 7 8 9 7 4 3 8 7 5 7 4 8 7 4 1 2 7 4 5 7 9 4

(a) Two                                                 (b) Three

(c) Four                                                (d) Five

(e) None of these

Ans.     (b)

Explanation: Number of 7s which are immediately followed by 4 but not immediately preceded by 8 are:

$5\,\,4\,\,7\,\,8\,\,\underset{1}{\mathop{\underline{9\,\,7\,\,4}}}\,\,\,3\,\,8\,\,7\,\,\underset{2}{\mathop{\underline 5\,\,7\,\,4}}}\,\,\,8\,\,7\,\,4\,\,1\,\,\underset{3}{\mathop{\underline{2\,\,7\,\,4}}}\,\,\,5\,\,7\,\,9\,\,4\,\,$

1. A number is 9 times twice the other number. The sum of two numbers is 133. The two numbers are :

(a) 9, 124                                              (b) 11, 122

(c) 17, 166                                            (d) 7, 126

(e) None of these

Ans.     (d)

Explanation: If the smaller number is x, then

$x+\left( 2x\times 9 \right)=133$

$x+18x=133$

$19x=133$

$x=133-19=7$

If one number is 7, the other number is:

$133-7=126$

1. If all the numbers from 1 to 28 which are exactly divisible by 3 are arranged in descending order, which would come at the fifth place from the top?

(a) 12                                                    (b) 21

(c) 15                                                    (d) 18

(e) None of these

Ans.     (c)

Explanation. The numbers divisible by 3 in descending order are: 27, 24 21 18 15, 12, 9, 6, 3 and the number at the fifth place is 15.

1. How many 6’s are there in the following series of numbers which are preceded by 7 but not immediately followed by 9?

6 7 9 5 6 9 7 6 8 7 6 7 8 6 9 4 6 7 7 6 9 5 7 6 3

(a) one                                                  (b) Two

(c) Three                                               (d) Four

(e) None of these

Ans. (c)

Explanation: $6\text{ }7\text{ }9\text{ }5\text{ }6\text{ }9\text{ }\underset{1}{\mathop{\underline{7\text{ }6\text{ }8}}}\,\text{ }\underset{2}{\mathop{\underline{7\text{ }6\text{ }7}}}\,\text{ }8\text{ }6\text{ }9\text{ }4\text{ }6\text{ }7\text{ }7\text{ }6\text{ }9\text{ }5\text{ }\underset{3}{\mathop{\underline{7\text{ }6\text{ }3}}}\,$

1. In a chess tournament each of six players will play every other player exactly once. How many matches will be played during the tournament?

(a) 12                                                    (b) 15

(c) 30                                                    (d) 36

(e) None of these

Ans. (b)

Explanation: When all the players have to play with each other then the method of calculating the number of matches to be played is$\frac{n(n-1)}{2}$, where -n- is the number of players playing the match. So, the number of matches played will be:

$(6\times 5)\div 2=3\div 2=15.$

1. How many 4’s are there in the following series which are preceded by 7, but are not preceded by 8?

3 4 5 7 4 3 7 4 8 5 4 3 7 4 9 8 4 7 2 7 4 1 3 6

(a) 1                                                      (b) 2

(c) 3                                                      (d) 4

(e) More than four

Ans.     (d)

Explanation: $3\text{ }4\text{ }5\text{ }\underset{1}{\mathop{\underline{7\text{ }4}}}\,\text{ }3\text{ }\underset{2}{\mathop{\underline{7\text{ }4}}}\,\text{ }8\text{ }5\text{ }4\text{ }3\text{ }\underset{3}{\mathop{\underline{7\text{ }4}}}\,\text{ }9\text{ }8\text{ }4\text{ }7\text{ }2\text{ }\underset{4}{\mathop{\underline{7\text{ }4}}}\,\text{ }1\text{ }3\text{ }6$

1. How many even numbers are there in the following series of numbers, each of which is immediately preceded by an odd number, but not immediately followed by an even number?

5 3 4 8 9 7 1 6 5 3 2 9 8 4 3 5

(a) 4                                                      (b) 1

(c) 2                                                       (d) 3

(e) None of these

Ans.     (c)

Explanation: $5\text{ }3\text{ }4\text{ }8\text{ }9\text{ }7\text{ }\underset{1}{\mathop{\underline{1\text{ }6\text{ }5}}}\,\text{ }\underset{2}{\mathop{\underline{3\text{ }2\text{ }9}}}\,\text{ }8\text{ }4\text{ }3\text{ }5$

1. Katrina cuts a cake into two halves and cuts one-half into smaller pieces of equal. Each of the small pieces is twenty grams in weight. If she has seven pieces of the all with her, how heavy was the original cake?

(a) 140 grams                                         (b) 280 grams

(c) 240 grams                                         (d) 120 grams

(e) None of these

Ans.     (c)

Explanation: There is one bigger piece and six smaller pieces. One small piece weighs

20 gm. Total weight of six smaller pieces is 120 gm.

$\therefore$ Weight of the bigger piece = 120 gm

$\therefore$ Weight of the original cake = 240 gm

1. How many 7s are there in the following series which are not immediately followed by 3 but immediately preceded by 8?

8 9 8 7 6 2 2 6 3 2 6 9 7 3 2 8 7 2 7 7 8 7 3 7 7 9 4

(a) Nil                                                    (b) One

(c) Two                                                  (d) Three

(e) None of these

Ans. (c)

Explanation: $8\text{ }9\text{ }\underset{1}{\mathop{\underline{8\text{ }7\text{ }6}}}\,\text{ }2\text{ }2\text{ }6\text{ }3\text{ }2\text{ }6\text{ }9\text{ }7\text{ }3\text{ }2\text{ }\underset{2}{\mathop{\underline{8\text{ }7\text{ }2}}}\,\text{ }7\text{ }7\text{ }8\text{ }7\text{ }3\text{ }7\text{ }7\text{ }9\text{ }4$

1. How many 9's are there in the following sequence which are neither preceded by 6 nor immediately followed by 3?

(a) One                                                  (b) Two

(c) Three                                               (d) Four

(e) None of these

Ans.     (d)

Explanation: $9\text{ }3\text{ }8\text{ }6\text{ }\underset{1}{\mathop{\underline{9\text{ }9\text{ }5}}}\,\text{ }9\text{ }3\text{ }7\text{ }\underset{2}{\mathop{\underline{8\text{ }\overset{3}{\mathop{\overline{9\text{ }9\text{ }9}}}\,}}}\,\text{ }\underset{4}{\mathop{\underline{3\text{ }9\text{ }6}}}\,\text{ }3\text{ }9$

Ranking Test

In this type of questions, generally the ranks of a person both from the top and from the bottom are mentioned and the total number of persons is asked. However, sometimes this question is put in the form of a puzzle of interchanging seats by two persons.

• Example:
1. Joseph ranks seventh from the top and twenty-sixth from the bottom in a class. How many students are there in the class?

(a) 31                                                    (b) 32

(c) 33                                                    (d) 34

(e) None of these

Ans.     (b)

Explanation: Clearly, the whole class consists of:

(i) 6 students who have ranks higher than Joseph;

(ii) Joseph; and

(iii) 25 students who have ranks lower than Joseph, i.e., (6 + 1 + 25) = 32 students.

1. Daniel is fourteenth from the right end in a row of 40 boys. What is his position from the left end?

(a) 24th                                                 (b) 25th

(c) 26th                                                   (d) 27th

(e) None of these

Ans.     (d)

Explanation: Clearly, number of boys towards the left of Daniel = (40 - 14) = 26.

So, Daniel is 27th from the left end. Hence, the answer is (d).

1. In a row of boys facing the North, A is sixteenth from the left end and C is sixteenth from the right end. B, who is fourth to the right of A, is fifth to the left of C in the row. How many boys are there in the row?

(a) 39                                                    (b) 40

(c) 41                                                    (d) 42

(e) None of these

Ans.     (b)

Explanation: Clearly, according to the given conditions, there are 15 boys to the left of A, as well as to the right of C. Also, B lies between A and C such that there are 3 boys between A and B; and 4 boys between B and C. So number of boys in the row $=\left( 15+1+3+1+4+1+15 \right)=40$ Hence, the answer is (b).

4. Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there are three persons ahead of C and 21 behind A, then what could be the minimum number of persons in the queue.

(a) 27                                                    (b) 28

(c) 40                                                    (d) 41

(e) None of these

Ans.     (b)

Explanation: As per the given conditions/ there are two possible arrangements as shown below: Clearly, for the minimum number of persons, we shall consider arrangement II, in II, number of persons in the queue $=\left( 3+1+2+1+21 \right)=28$

1. In a row of 40 girls, when Komal was shifted to her left by 4 places her number from the left end of the row became 10. What was the number of Swati from the right end of the row if     Swati was three places to the right of Komal's original position?

(a) 22                                                    (b) 23

(c) 24                                                    (d) 25

(e) None of these

Ans.     (c)

Explanation: On shifting 4 places to the left, Komal is 10th from the left end of the row. Thus, KomaFs original position was 14th from the left end.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17............. Swati is 3 places to the right of Komal’s original position.

Clearly, Swati is 17th from the left end.

Number of girls to the right of Swati = (40 – 17) = 23

Thus, Swati is 24th from the right end of the row.

1. Aman is 16th from the left end in a row of boys and Vivek is 18th from the right end Gagan is 11th from Aman towards the right and 3rd from Vivek towards the right end. How many boys are there in the row?

(a) 40                                                    (b) 41

(c) 45                                                    (d) 48

(e) None of these

Ans.     (b)

Explanation: Vivek is 18th from the right end and Gagan is third to the right of Vivek. So, Gagan is 15th from the right end.

Thus, there are 15 boys to the left of Aman; 10 boys between and Gagan; and 14 boys to the right of Gagan. So, number of boys in the row $=\left( 15+1+10+1+14 \right)=41$

1. In a row of girls, Shilpi is fifth from the left and Sukriti is sixth from the right. When they exchange their positions, then Shilpi becomes thirteenth from the left. What will be Sukriti's position from the right?

(a) 7th                                                    (b) 11th

(c) 14th                                                 (d) 18th

(e) None of these

Ans.     (c)

Explanation: Shilpi's new position is 13th from left. But it is the same as Sukriti's earlier position which is 6th from the right.

Thus, the row consists of (12 + 1 + 5) = 18 girls.

Now, Preeti's new position is Kamya's earlier position which is 5th from the left.

Number of girls to the right of Preeti = (18 - 5) = 13.

So, Sukriti's new position is 4th from the right.

1. Joseph ranked ninth from the top and thirty-eighth from the bottom in a class. How many students are there in the class?

(a) 45                                                    (b) 46

(c) 47                                                    (d) 48

(e) None of these

Ans.     (b)

Explanation: Clearly, number of students in the class $=\left( 8+1+37 \right)=46.$

1. A class of boys stands in a single line. One boy is nineteenth in order from both the ends. How many boys are there in the together?

(a) 27                                                    (b) 37

(c) 38                                                    (d) 39

(e) None of these

Ans.     (b)

Explanation: Clearly, number of boys in the class = (18 + 1 + 18) = 37.

1. In a row of boys, Jeevan is seventh from the start and eleventh from the end. In another row of boys, Vikas is tenth from the start and twelfth from the end. How many boys are there in both the rows together?

(a) 36

(b) 37

(c) 39

(d) 38

(e) None of these

Ans. (d)

Explanation: Clearly, total number of boys in both the rows

= (Number of boys in Jeevan's row) + (Number of boys in Vikas' row)

= (6+1+10) + (9 + 1 + 11) = (17 + 21) = 38

1. In a class of 60, where girls are twice that of boys, Kamal ranked seventeenth from the top. If there are 9 girls ahead of Kamal, how many boys are after him in the rank?

(a) 3

(b) 7

(c) 12

(d) 23

(e) None of these

Ans.     (c)

Explanation: Let the number of boys be x. Then, number of girls = 2x

$x+2x\text{ }=60\text{ }or\text{ }3x=60\text{ }or\text{ }x=20$

So, number of boys = 20 and number of girls = 40

Number of students behind Kamal in rank = (60 - 17) = 43

Number of girls ahead of Kamal in rank = 9

Number of girls behind Kamal in rank = (40 - 9) = 31

$\therefore$ Number of boys behind Kamal in rank = (43 - 31) = 12.

Time Sequence Test

• Example
1. Sangeeta remembers that her father's birthday was certainly after eighth but before thirteenth of December. Her sister Natasha remembers that their father's birthday was definitely after    ninth but before fourteenth of December. On which date of December was their father's     birthday?

(a) 10th                                                 (b) 11th

(e) None of these

Ans.     (d)

Explanation: According to Sangeeta, the father's birthday falls on one of the days among 9th, 10th, 11th and 11th December. According to Natasha, the father's birthday falls on one of the days among 10th, 11th, 11th, and 13th December.

The days common to both the groups are 10th, 11th and 12th December. So, the father's birthday falls on any one of these days.

1. Ashish leaves his house at 20 minutes to seven in the morning, reaches Kunal's house in 25 minutes, they finish their breakfast in another 15 minutes and leave for their office which takes another 35 minutes. At what time do they leave Kunal's house to reach their office?

(a) 7.40 am                                            (b) 7.20 am

(c) 7.45 am                                            (d) 8.15 am

(e) None of these

Ans.     (b)

Explanation: Ashish leaves his house at 6.40 a.m.

He reaches Kunal's house in 25 minutes, i.e., at 7.05 am

Both leave for office 15 minutes after 7.05 a.m., i.e., at 7.20 a.m.

1. Reaching the place of meeting 20 minutes before 8.50 hrs Sumit found himself thirty minutes earlier than the man who came 40 minutes late. What was the scheduled time of the meeting?

(a) 8.00                                                 (b) 8.05

(c) 8.10                                                 (d) 8.20

(e) None of these

Ans.     (d)

Explanation: Sumit reached the place 20 minutes before 8.50 hrs, i.e at 8.30 hrs.

Clearly, the man who was 40 minutes late would reach the place at 9.00 hrs.

So, the scheduled time of the meeting was 40 minutes before 9.00 hrs. i.e., 8.20 hrs.

1. The priest told the devotee, “The temple bell is rung at regular intervals of 45 minutes. The last bell was rung five minutes ago. The next bell is due to be rung at 7.45 a.m.” At what time did the priest give this information to the devotee?

(a) 7.40 a.m                                           (b) 7.05 a.m

(c) 7.00 a.m                                           (d) 655 a.m

(e) None of these

Ans.     (b)

Explanation: Clearly, the last bell rang 45 minute before 7.45 a.m. i.e., at 700 a.m. But it happened five minutes before the priest gave the information to the devotee. So, the information was given at 7.05 a.m.

1. If day after tomorrow is Saturday, then what day was three days before yesterday?

(a) Sunday                                             (b) Monday

(c) Thursday                                         (d) Saturday

(e) None of these

Ans.     (a)

Explanation: Day after tomorrow is Saturday. So, today is Thursday. Thus, yesterday was Wednesday and three days before Wednesday was Sunday.

1. If Tuesday falls on the fourth of the month, then which day will fall three days after the 24th?

(a) Monday                                           (b) Tuesday

(c) Thursday                                         (d) Friday

(e) None of these

Ans.     (c)

Explanation: The 4th day is Tuesday. So, the 11th, 18th and 25th days are also Tuesdays. Three days after the 24th day is 27th day, which clearly Thursday.

1. If the second day of a month is Friday, then which of the following would be the last day of the next month which has 31 days?

(a) Sunday                                             (b) Monday

(e) None of these

Ans.     (d)

Explanation: The number of days in the current month is not mentioned.

1. Saturday was a holiday for Republic Day. 14th of the next month is again a holiday for What was the day on the 14th?

(a) Monday                                            (b) Tuesday

(c) Thursday                                           (d) Friday

(e) None of these

Ans.     (c)

Explanation: As given, Saturday falls on 26th January and we have to find the day on 14th February. Clearly, 2nd, 9th and 16th February each is a Saturday.

Thus, 14th February was a Thursday.

1. If 30th January 2003 was Thursday, then what was the day on 2nd March, 2003?

(a) Tuesday                                            (b) Thursday

(c) Saturday                                           (d) Sunday

(e) None of these

Ans.     (d)

Explanation: 30th January, 2003 was Thursday.

So, 6th, 13th, 20th and 27th February were all Thursdays.

Thus 2nd March, 2003 was 3 days after Thursday, i.e. Sunday.

Logical Sequence of words

In this type of questions, certain inter-related words are given and numbered followed by various sequences of the numbers denoting them as alternatives. The candidate is required to arrange these words in a logical sequence based on a common property and then choose the correctly graded sequence from the given alternatives.

• Example:
1. Arrange the words given below in a meaningful sequence.
2. Nation 2. Village 3. City          4. State       5. District

(a) 1, 3, 4, 5, 2                           (b) 1, 2, 3, 5, 4

(c) 2, 3, 5, 1, 4                            (d) 2, 3, 5, 4, 1

(e) None of these

Ans.     (d)

The correct order is:

$_{\,\,\,\,\,\,2\,}^{Village}\,\,\,\to \,\,\,\,_{\,\,\,3}^{City}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,\,\,5}^{District}\,\,\,\,\to \,\,\,\,_{\,\,\,\,4}^{State}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,\,\,1}^{Nation}$

1. Arrange the following in a logical order:
2. Shoulder 2. Wrist       3, Elbow       4. Palm       5. Finger

(a) 2, 4, 5, 3, 1

(b) 3, 1, 4, 2, 5

(c) 3, 4, 5, 2, 1

(d) 5, 4, 2, 3, 1

(e) None of these

Ans.     (d)

Explanation: Clearly, we are given the names of parts of a hand, which may be arranged:

(i) from top to bottom, i.e., Shoulder, Elbow, Wrist, Palm, Finger, which is 1, 3, 2, 4, 5; or

(ii) from bottom to top, i.e. Finger Palm, Wrist, Elbow, Shoulder, which is 5, 4, 2, 3, 1 Out of these, the sequence 5, 4, 2, 3, 1 Is given in the alternatives provided. Hence, the answer is (d).

1. Arrange the following in a meaningful sequence:
2. Phrase 2. Letter      3. Word       4, Sentence

(a) 1, 2, 3, 4

(b) 1, 3, 2, 4

(c) 2, 3, 1, 4

(d) 2, 3, 4, 1

(e) None of these

Ans.     (c)

Explanation: A group of letters makes a word. A group of words makes a phrase. A group of phrases makes a sentence.

Thus, the correct order is 2, 3, 1, 4

In each of the following questions, arrange the given words in a meaningful sequence and thus find the correct answer from alternatives.

1. Arrange the words given below in a meaningful sequence.
2. Key 2. Door 3. Lock        4. Room      5. Switch on

(a) 5, 1, 2, 4, 3                           (b) 4, 2, 1, 5, 3

(c) 1, 3, 2, 4, 5                            (d) 1, 2, 3, 5, 4

(e) None of these

Ans.     (c)

Explanation: The correct order is:

$_{\,\,\,1\,}^{Key}\,\,\,\to \,\,\,\,_{\,\,\,\,3}^{Lock}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,2}^{Door}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,\,4}^{Room}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,\,\,\,\,\,\,5}^{Switch\,\,on}$

1. Arrange the words given below in a meaningful sequence.
2. Word 2. Paragraph   3. Sentence    4. Letters     5. Phrase

(a) 4, 1, 5, 2, 3                                       (b) 4, 4, 3, 5, 2

(c) 4, 2, 5, 1, 3                                       (d) 4, 1, 5, 3, 2

(e) None of these

The correct order is

Ans.     (d)

The correct order is

$_{\,\,\,\,\,\,4\,}^{Letters}\,\,\,\,\,\,\,_{\,\,\,\,1}^{Word}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,5}^{Phrase}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,\,\,3}^{Sentence}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,\,\,\,\,\,2}^{Paragraph}$

1. Arrange the words given below in meaningful sequence.
2. Poverty 2. Population 3. Death       4. Unemployment   5 Disease

(a) 2, 3, 4, 5, 1

(b) 3, 4, 2, 5, 1

(c) 2, 4, 1, 5, 3

(d) 1, 2, 3, 4, 5

(e) None of these

Ans.     (c)

The correct order is:

$_{\,\,\,\,\,\,2\,}^{Population}\,\,\,\,\,\,\,_{\,\,\,\,4}^{Unemployment}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,1}^{Poverty}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,\,\,5}^{Disease}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,\,\,\,\,\,3}^{Paragraph}$

1. Arrange the words given below in a meaningful sequence.
2. Leaf 2. Fruit       3. Stem        4. Root       5 Flower

(a) 3, 4, 5, 1, 2

(b) 4, 3, 1, 5, 2

(c) 4, 1, 3, 5, 2

(d) 4, 3, 1, 2, 5

(e) None of these

Ans.     (b)

The correct order is:

$_{\,\,\,\,4\,}^{Root}\,\,\,\,\,\,\,_{\,\,\,\,3}^{Stem}\,\,\,\,\,\,\,\,_{\,\,\,\,1}^{Leaf}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,5}^{Flower}\,\,\,\,\,\,\,\,_{\,\,\,\,\,2}^{Fruit}$

1. Arrange the words given below in a meaningful sequence.
2. Caste 2. Family     3. Newly married Couple   4. Clan   5 Species

(a) 2, 3, 1, 4, 5

(b) 3, 4, 5, 1, 2

(c) 3, 2, 1, 4, 5

(d) 4, 5, 3, 2, 1

(e) None of these

Ans.     (c)

The correct order is:

$_{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,4\,}^{Newly\text{ }married\text{ }Couple}\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,2}^{Family}\,\,\,\,\,\,\,\,_{\,\,\,\,1}^{Caste}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,4}^{Clan}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,5}^{Species}$

1. Arrange the words given below in a meaningful sequence.
2. Cut 2. Put on     3. Mark        4. Measure   5. Tailor

(a) 3, 1, 5, 4, 2

(b) 2, 4, 3, 1, 5

(c) 1, 3, 2, 4, 5

(d) 4, 3, 1, 5, 2

(e) None of these

Ans.     (d)

The correct order is:

$_{\,\,\,\,\,\,\,\,\,4\,}^{Measure}\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,3}^{Mark}\,\,\,\,\,\,\,\,_{\,\,\,\,1}^{Cut}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,5}^{Tailor}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,2}^{Put\text{ }on}$

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##### Notes - Ranking & Number Sequence Test

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