Consider an integer 23 such that 23 >= 3p for a 2p-cycle in a permutation group, then p is ___________

A particular BNF definition for a “word” is given by the following rules. ∷ = | | ∷ = | ∷ = | ∷ = a | b | c | ….. |y| z ∷ = 0 |1|2| …… | 9 Which of the following lexical entries can be derived from < word > ? l. pick II. picks lll. c44

A

I, II Wand Ill

B

I and II only

C

I and III only

D

II and III only

Suppliers(Sid: integer, sname:string, city:string, street:string) Parts(pid:integer, pname:string, color:string) Catalog(sid:integer, pid:integer, cost:real) Consider the following relational query on the above database: SELECT S.sname FROM Suppliers S WHERE S.sid NOT IN (SELECT C.sid FROM Catalog C WHERE C.pid NOT IN (SELECT P.pid FROM Parts P WHERE P.color < > ‘blue’)) Assume that relations corresponding to the above schema are not empty. Which of the following is the correct interpretation of the above query?

A

Find the names of all suppliers who have supplied a non-blue part

B

Find the names of all suppliers who have not supplied a non-blue part

C

Find the names of all suppliers who have supplied only blue parts

D

Find the names of all suppliers who have not supplied only blue parts

Consider the following relational schema. Students(rollno: integer, sname: string) Courses(courseno: integer, cname: string) Registration(rollno: integer, courseno: integer, percent: real) Which of the following queries are equivalent to this query in English? “Find the distinct names of all students who score more than 90% in the course numbered 107” (I) SELECT DISTINCT S.sname FROM Students as S, Registration as R WHERE R.rollno=S.rollno AND R.courseno=107 AND R.percent >90 (II) Πsname (σcourseno = 107∧percent>90 (Registration ⋈ Students)) (III) {T | ∃S ∈ Students, ∃R ∈ Registration (S.rollno = R.rollno ∧R. courseno = 107 ∧ R.percent > 90 ∧ T.sname = S. sname)} (IV) {〈SN〉 | ∃SR∃RP(〈SR, SN〉 ∈ Students ∧ 〈SR, 107, RP〉 ∈ Registration ∧ RP > 90)}

A

I, II, III and IV

B

I, II and III only

C

I, II and IV only

D

II, III and IV only

When a certain positive integer P is divided by another positive integer, the remainder is $${r_{1}}$$ . When a second positive integer Q is divided by the same integer, the remainder is $${r_{2}}$$ and when (P + Q) is divided by the same divisor, the remainder is $${r_{3}}$$ . Then the divisor may be :

A

$${r_{1}}$$$${r_{2}}$$$${r_{3}}$$

B

$${r_{1}}$$ + $${r_{2}}$$ - $${r_{3}}$$

C

$${r_{1}}$$ - $${r_{2}}$$ + $${r_{3}}$$

D

$${r_{1}}$$ + $${r_{2}}$$ - $${r_{3}}$$

Suppose (2, 5, 8, 4) and (3, 6) are the two permutation groups that form cycles. What type of permutation is this?

A

odd

B

even

C

acyclic

D

prime

Suppose we uniformly and randomly select a permutation from the 20! permutations of 1, 2, 3 ...., 20. What is the probability that 2 appears at an earlier position that any other even number in the selected permutation?

A

$$\frac{1}{2}$$

B

$$\frac{1}{{10}}$$

C

$$\frac{{9!}}{{20!}}$$

D

None of these

The sum o three integers is 40. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. what is the product of the three integers?

A

1104

B

972

C

672

D

294

You are the network administrator for your company. Mike Nash is a member of the Administration group, and Nate Sun is a member of the Intern group. Both groups are in the same domain. On the intranet server, the Administration group is placed in the Security group, and the Intern group is placed in the Nonsecurity group. The Security group is then granted Full Control permission for the Sales virtual directory. Nate needs to update new sales information that is located on the Sales virtual directory. What should you do so that Nate can perform this task?

A

Enable Anonymous access for the intranet server

B

Enable Anonymous access for the Sales virtual directory

C

Remove Nate fmm the Intern group

D

Make Nate a member of the Security group

E

None of above

The average weight of 30 persons of group A is 3 kg more than the average weight of 25 persons of group B. The average weight of 25 persons of group B is 2.5 kg more than the average weight of 20 persons of group C. If the total weight of 30 persons of group A is 1725 kg, then what will be the average weight of the persons of group A and group C taken together (in kg)?

A

55.3

B

55.4

C

55.1

D

55

In a group of 15 friends average height of the group is 152 cm, but when one of the friends left the group for further studies and 3 more people joined their group now the average height of the group becomes 148. What is the height of the person who left the group, if the total height of three persons joined the group is 362 cm?

A

132 cm

B

126 cm

C

156 cm

D

118 cm

E

145 cm

Consider an integer 23 such that 23 >= 3p for a 2p-cycle in a permutation group, then p is ___________

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