Notes - Ranking & Number Sequence Test
Category : 11th Class
Learning Objectives
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.
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:
\[5\,\,4\,\,7\,\,8\,\,\underset{1}{\mathop{\underline{9\,\,7\,\,4}}}\,\,\,3\,\,8\,\,7\,\,\underset{2}{\mathop{\underline
5\,\,7\,\,4}}}\,\,\,8\,\,7\,\,4\,\,1\,\,\underset{3}{\mathop{\underline{2\,\,7\,\,4}}}\,\,\,5\,\,7\,\,9\,\,4\,\,\]
(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:
\[133-7=126\]
(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.
Commonly Asked Questions
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: \[6\text{ }7\text{ }9\text{ }5\text{ }6\text{ }9\text{ }\underset{1}{\mathop{\underline{7\text{ }6\text{ }8}}}\,\text{ }\underset{2}{\mathop{\underline{7\text{ }6\text{ }7}}}\,\text{ }8\text{ }6\text{ }9\text{ }4\text{ }6\text{ }7\text{ }7\text{ }6\text{ }9\text{ }5\text{ }\underset{3}{\mathop{\underline{7\text{ }6\text{ }3}}}\,\]
(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:
\[(6\times 5)\div 2=3\div 2=15.\]
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: \[3\text{ }4\text{ }5\text{ }\underset{1}{\mathop{\underline{7\text{ }4}}}\,\text{ }3\text{ }\underset{2}{\mathop{\underline{7\text{ }4}}}\,\text{ }8\text{ }5\text{ }4\text{ }3\text{ }\underset{3}{\mathop{\underline{7\text{ }4}}}\,\text{ }9\text{ }8\text{ }4\text{ }7\text{ }2\text{ }\underset{4}{\mathop{\underline{7\text{ }4}}}\,\text{ }1\text{ }3\text{ }6\]
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: \[5\text{ }3\text{ }4\text{ }8\text{ }9\text{ }7\text{ }\underset{1}{\mathop{\underline{1\text{ }6\text{ }5}}}\,\text{ }\underset{2}{\mathop{\underline{3\text{ }2\text{ }9}}}\,\text{ }8\text{ }4\text{ }3\text{ }5\]
(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
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: \[8\text{ }9\text{ }\underset{1}{\mathop{\underline{8\text{ }7\text{ }6}}}\,\text{ }2\text{ }2\text{ }6\text{ }3\text{ }2\text{ }6\text{ }9\text{ }7\text{ }3\text{ }2\text{ }\underset{2}{\mathop{\underline{8\text{ }7\text{ }2}}}\,\text{ }7\text{ }7\text{ }8\text{ }7\text{ }3\text{ }7\text{ }7\text{ }9\text{ }4\]
(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.
(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.
(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).
(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 \[=\left( 3+1+2+1+21 \right)=28\]
Hence, the answer is (b).
(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.
Hence, the answer is (c).
Commonly Asked Questions
(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 \[=\left( 15+1+10+1+14 \right)=41\]
Hence, the answer is (b).
(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.
Hence, the answer is (c).
(a) 45 (b) 46
(c) 47 (d) 48
(e) None of these
Ans. (b)
Explanation: Clearly, number of students in the class \[=\left( 8+1+37 \right)=46.\]
(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.
(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
(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
(a) 10th (b) 11th
(c) 12th (d) Data inadequate
(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.
(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.
(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.
(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.
Commonly Asked Questions
(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.
(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.
(a) Sunday (b) Monday
(c) Tuesday (d) Data inadequate
(e) None of these
Ans. (d)
Explanation: The number of days in the current month is not mentioned.
(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.
(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.
(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:
\[_{\,\,\,\,\,\,2\,}^{Village}\,\,\,\to \,\,\,\,_{\,\,\,3}^{City}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,\,\,5}^{District}\,\,\,\,\to \,\,\,\,_{\,\,\,\,4}^{State}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,\,\,1}^{Nation}\]
(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).
(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
Hence the answer is (c).
In each of the following questions, arrange the given words in a meaningful sequence and thus find the correct answer from alternatives.
(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:
\[_{\,\,\,1\,}^{Key}\,\,\,\to \,\,\,\,_{\,\,\,\,3}^{Lock}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,2}^{Door}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,\,4}^{Room}\,\,\,\,\to \,\,\,\,_{\,\,\,\,\,\,\,\,\,\,\,5}^{Switch\,\,on}\]
(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
\[_{\,\,\,\,\,\,4\,}^{Letters}\,\,\,\,\,\,\,_{\,\,\,\,1}^{Word}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,5}^{Phrase}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,\,\,3}^{Sentence}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,\,\,\,\,\,2}^{Paragraph}\]
Commonly Asked Questions
(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:
\[_{\,\,\,\,\,\,2\,}^{Population}\,\,\,\,\,\,\,_{\,\,\,\,4}^{Unemployment}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,1}^{Poverty}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,\,\,5}^{Disease}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,\,\,\,\,\,3}^{Paragraph}\]
(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:
\[_{\,\,\,\,4\,}^{Root}\,\,\,\,\,\,\,_{\,\,\,\,3}^{Stem}\,\,\,\,\,\,\,\,_{\,\,\,\,1}^{Leaf}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,5}^{Flower}\,\,\,\,\,\,\,\,_{\,\,\,\,\,2}^{Fruit}\]
(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:
\[_{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,4\,}^{Newly\text{ }married\text{ }Couple}\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,2}^{Family}\,\,\,\,\,\,\,\,_{\,\,\,\,1}^{Caste}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,4}^{Clan}\,\,\,\,\,\,\,\,_{\,\,\,\,\,\,\,\,5}^{Species}\]
(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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