Q1: Basics of Sets and Relations #1
Set A = {1,2,3,4,5,6}
Set B = {2,3,4,5,6,7,8}
How many elements are present in A U B?
Only enter the correct integer in the answering box. Do not include any extra spaces, tabs or newlines.
A U B = {1,2,3,4,5,6} + {2,3,4,5,6,7,8} - {2,3,4,5,6} = {1,2,3,4,5,6,2,3,4,5,6,7,8}-{2,3,4,5,6}={1,2,3,4,5,6,7,8}
Q2: Basics of Sets and Relations #2
Set A = {1,2,3,4,5,6}
Set B = {2,3,4,5,6,7,8}
How many elements are present in A and B?
Only enter the correct integer in the answering box. Do not include any extra spaces, tabs or newlines.
A U B = {1,2,3,4,5,6} + {2,3,4,5,6,7,8} - {1,2,3,4,5,6,7,8} = {1,2,3,4,5,6,2,3,4,5,6,7,8} - {1,2,3,4,5,6,7,8} = {2,3,4,5,6}
Q3: Basics of Sets and Relations #3
Set A = {1,2,3,4,5,6}
Set B = {2,3,4,5,6,7,8}
How many elements are present in A - B?
Only enter the correct integer in the answering box. Do not include any extra spaces, tabs or newlines.
We substract from set A the values which are in set B if value in set A = value in set B and the result is what left in set > A.
Q4: Basics of Sets and Relations #4
Set A = {1,2,3,4,5,6}
Set B = {2,3,4,5,6,7,8}
What is the total number of ordered PAIRS present in the Cartesian Product AxB?
Only enter the correct integer in the answering box. Do not include any extra spaces, tabs or newlines.
(1,2) (1,3) (1,4) (1,5) (1,6) (1,7) (1,8) (2,2) (2,3) (2,4) (2,5) (2,6) (2,7) (2,8) (3,2) (3,3) (3,4) (3,5) (3,6) (3,7) (3,8)
(4,2) (4,3) (4,4) (4,5) (4,6) (4,7) (4,8) (5,2) (5,3) (5,4) (5,5) (5,6) (5,7) (5,8) (6,2) (6,3) (6,4) (6,5) (6,6) (6,7) (6,8)
Q5: Basics of Sets and Relations #5
Consider the following data table named Student.
| Student Name | Number | Sex |
|---|---|---|
| Ben | 3412 | M |
| Dan | 1234 | M |
| Nel | 2341 | F |
σ(Number<3000)(Student)
Only enter a single integer. Do not include any extra spaces or newlines.
Q6: Basics of Sets and Relations #6
Consider the following data table named Student.
| Name | Number | Sex |
|---|---|---|
| Nina | 3412 | F |
| Mike | 1234 | M |
| Nelson | 2341 | F |
π(Name, Number)(Student)
Only enter a single integer. Do not include any extra spaces or newlines.
Q7: Basics of Sets and Relations #7
Consider the following data table named Student.
| Student Name | Number | Sex |
|---|---|---|
| Nina | 3412 | F |
| Mike | 1234 | M |
| Nelson | 2341 | F |
Here is another data table named Teaching Assistants
| Subject | ID |
|---|---|
| Physics | 3412 |
| Chemistry | 1111 |
| Mathematics | 2341 |
Student ⊳⊲(Number=ID) Teaching Assistants
Only enter a single integer. Do not include any extra spaces or newlines.
Q8: Relational Algebra - 3
Which is a join condition contains an equality operator?
| t1 | t2 |
|---|---|
| 2 A2 | 5 B5 |
| 5 A5 | 1 B1 |
| 3 A3 | 3 - |
| 1 - | 6 B6 |
| 4 A4 | 2 B2 |
| NAN | 5 C5 |
Q9: Relational Algebra - 4
In precedence of set operators the expression is evaluated from:
Q10: Database Query Languages
Using which language can a user request information from a database ?
Q11: Procedural Language
Which one of the following is a procedural language ?
Q12: Relations - 1
Q13: Relations - 2
Q14: Index Architecture Types
How many index architecture type classifications are there in MS SQL Server?
Q15: OLAP Performance
Which of these helps OLAP speed up queries, in terms of performance?
Q16: OLAP Operations - 1
This OLAP operation involves computing all of the data relationships for one or more dimensions.
Q17: Indexes - 2
Which of the following statement is true about row locators in non-clustered indexes in MS SQL Server?
Answer: If the table has a clustered index, or the index is on an indexed view, the row locator is the clustered index key for the row.
Q18: Indexes - 3
* In the first design, the fill factor is 20% and the total number of free rows per page are A.
* In the second design, the fill factor is 40% and the total number of free rows per page are B.
Which the followings describes the relation between A and B:
Q19: OLAP Operations - 2
This OLAP Operation rotates the data, and delivers an alternative to the original presentation.
Q20: Indexes - 4
The correct syntax for creating composite indexes in MS SQL Sever is:
Q21: OLAP Cube Metadata
What is the source of the cube metadata for OLAP?
Q22: OLAP Name(s)
Q23: The Total View
Which of these provides a total view of the organization?
Q24: OLAP Operation Types
Q1: Select D1,D2,D3,Sum(x) From DataPoints Group By D1,D2,D3
Q2: Select D1,D2,D3,Sum(x) From DataPoints Group By D1,D2,D3 WITH CUBE
Q3: Select D1,D2,D3,Sum(x) From DataPoints Group By D1,D2,D3 WITH ROLLUP
Suppose attributes D1, D2, and D3 have n1, n2, and n3 different values respectively, and assume that each possible combination of values appears at least once in the table DataPoints. The number of tuples in the result of each of the three queries above can be specified as an arithmetic formula involving n1, n2, and n3. Pick the one tuple (a,b,c,d,e,f) in the list below such that when n1=a, n2=b, and n3=c, then the result sizes of queries Q1, Q2, and Q3 are d, e, and f respectively.
Q25: Database Normalization #1 - 1NF
| Product-ID | Colors | Price |
|---|---|---|
| 1 | Red,Green | 15.0 |
| 2 | Blue | 18.0 |
| 3 | Yellow,Pink | 2.5 |
Q26: Database Normalization #2 - 1/2/3 NF
Q27: Database Normalization #3
Q28: Database Normalization #4
Q29: Database Normalization #5
R(a, b,c,d)
a,c -> b,d
a,d -> b
Also, a,b is a primary key for the above relation.
The above relation is in x NF form where x may take the following values {1,2,3,3.5} corresponding to {1NF, 2NF, 3NF and BCNF} respectively.
What is the maximum possible value of x such that the above relation satisfies the *x*NF form?
Your answer should only be restricted to one of these numbers:1/2/3/3.5 Do not leave any leading or trailing spaces.
Q30: Database Normalization #6
Relations (The key is CAPITALIZED): customer(name,addr,MEMBERNO) movie(DESCRIPTION,director,serialno) borrow(memberno,DATE,SERIALNO)
Determinants: description->director,serialno serialno->description serialno->director name,addr -> memberno memberno -> name,addr serialno,date -> memberno
What is the maximum possible value of _x_ such that the above relation satisfies the _xNF_ form?
Your answer should only be restricted to one of these numbers:1/2/3/3.5. Do not leave any leading or trailing spaces.
Q31: Database Normalization #7
Relations: movie(DESCRIPTION,serialno) serial(SERIALNO,director) customer(name,addr,MEMBERNO) borrow(memberno,DATE,SERIALNO)
Determinants: description->director,serialno serialno->description serialno->director name,addr -> memberno memberno -> name,addr serialno,date -> memberno
What is the maximum possible value of _x_ such that the above relation satisfies the _xNF_ form?
Your answer should only be restricted to one of these numbers: 1/2/3/3.5. Do not leave any leading or trailing spaces.
Q32: Database Normalization #8
Relations (The key is CAPITALIZED): customer(name,addr,MEMBERNO) movie(DESCRIPTION,director,serialno) borrow(memberno,DATE,SERIALNO)
- description->director,serialno
- serialno->description
- serialno->director
- name,addr -> memberno
- memberno -> name,addr
- serialno,date -> memberno
In the text box, only enter the index number (1-6) of the dependency which you have identified as non-key.
Q33: Database Normalization #9
R(a,b,c,d,e)
Which of these determinants is a NON-CANDIDATE key? In the text box, only enter the index number (1-3) of the dependency which you have identified as non-key.
a,c -> b,d,e
a,d -> b
a,c,e -> b,d
Q34: Database Normalization #10
| Restaurant | Crust | Delivery Area |
|---|---|---|
| X Pizza | Thick | Whitefield |
| X Pizza | Thick | Greenville |
| X Pizza | Thick | Capital |
| X Pizza | Stuffed | Whitefield |
| X Pizza | Stuffed | Greenville |
| X Pizza | Stuffed | Capital |
| Papa Pizza | Thin | Capital |
| Papa Pizza | Stuffed | Capital |
| F1 Pizza | Thick | Whitefield |
| F1 Pizza | Thick | Greenville |
| F1 Pizza | Thin | Whitefield |
| F1 Pizza | Thin | Greenville |
In the text box below, enter the value of the integer N.
Q35: Databases - Relational Calculus
For the given set S, what will be the answer? Fill up the answer box with the required integer.
S = {4,5,6,7,10,11,19,18,3}
Q36: Databases - Keys
| bookname | author | language |
|---|---|---|
| A Tale of Two Cities | Charles Dickens | English |
| Oliver Twist | Charles Dickens | English |
| Godaan | Premchand | Hindi |
| Chandrakanta | Devaki Nandan Khatri | Hindi |
| Hamlet | William Shakespeare | English |
| The Merchant of Venice | William Shakespeare | English |
Only fill in the name of the field which may be used as the primary key. Grading is case-sensitive.
Q37: Databases - Natural Joins
Relation R(A,C) has the following tuples:
| A | C |
|---|---|
| 3 | 3 |
| 16 | 4 |
| 12 | 3 |
| 3 | 15 |
| 27 | 1 |
Relation S(B,C,D) has the following tuples:
| B | C | D |
|---|---|---|
| 50 | 1 | 6 |
| 1 | 55 | 8 |
| 4 | 3 | 9 |
27, X, Y, Z
In the answer box, fill up the values of the integers X, Y and Z in three separate lines. e.g.
10
20
30
| A | B | C | D |
|---|---|---|---|
| 27 | 50 | 1 | 6 |
Q38: Databases - Differences
Relation R(A,B,C) has the following tuples:
| A | B | C |
|---|---|---|
| 1 | 2 | 3 |
| 4 | 2 | 3 |
| 4 | 5 | 6 |
| 2 | 5 | 3 |
| 1 | 2 | 6 |
and relation S(A,B,C) has the following tuples:
| A | B | C |
|---|---|---|
| 2 | 5 | 3 |
| 2 | 5 | 4 |
| 4 | 5 | 6 |
| 1 | 2 | 3 |
4, b, c
Find the integers b and c. Fill in the values in the answer box, each on a new line.
Output Format
Two integers, corresponding to b and c, each on a new line. For example:
4
5
| A | B | C |
|---|---|---|
| 4 | 2 | 3 |
| 1 | 2 | 6 |