Explore topic-wise InterviewSolutions in Current Affairs.

Total Letters = 13, A = 3, S = 4, I = 2, N = 2, T = 1, 0 = 1. 

This word can be arranged in = \(\frac{3!}{3!\times4!\times(2!)^2}\)

(a) The vowels are in even places 

The six vowels can be permuted in \(\frac{6!}{3!.2!}\)

There are 7 consonents, (S = 4, N = 2, T = 1), can be permutted in \(\frac{7!}{4!.2!}\)

The total number of ways = \(\frac{6!}{3!.2!}\). \(\frac{7!}{4!.2!}\)

(b) Vowels are in odd places: 1 2 3 4 5 6 7 8 9 10 11 12 13 14. 

The 7 consonents can be placed in 7 even places in \(\frac{7!}{4!.2!}\) ways and 7 odd places in which the six vowels have to be placed in ⁷P₆ ways for each of these 3 A’s and 21’s are repeated. 

∴ Vowels can be permuted in \(\frac{^6p_6}{3!.2!}\)

∴ Total number of ways = \(\frac{^6p_6}{3!.2!}\)  x \(\frac{7!}{4!.2!}\)

(c) The word NATION is always present together: Can be taken as 1 unit and remaining is 7 totally 8 can be done in \(\frac{8!}{2!.4!}\)

(d) Begins with ‘AS’ and ends with ‘AS’: The remaining 9 letters (SSINATION) can be permuted in \(\frac{9!}{2!.2!.2!}\)

(i) There are 5 distinct letters in the word DIVYA.

∴ Number of permutations of the letters of the word DIVYA = 5! = 120

(ii) There are 9 letters in the word SHANTARAM in which ‘A’ is repeated 3 times.

∴ Number of permutations of the letters of the word SHANTARAM = \(\frac{9!}{3!}\)

 = 9 x 8 x 7 x 6 x 5 x 4

 = 60480

(iii) There are 9 letters in the word REPRESENT in which ‘E’ is repeated 3 times and ‘R’ is repeated 2 times.

∴ Number of permutations of the letters of the word REPRESENT = \(\frac{9!}{3!2!}\) 

 = \(\frac{9\times8\times7\times6\times5\times4}2\) = 30240

(iv) There are 7 distinct letters in the word COMBINE.

∴ Number of permutations of the letters of the word COMBINE = 7! = 5040

(v) There are 10 letters in the word BALBHARATI in which ‘B’ is repeated 2 times and ‘A’ is repeated 3 times.

∴ Number of permutations of the letters of the word BALBHARATI = \(\frac{10!}{2!3!}\)

\(=\frac{10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{2\times3\times2}\) 

 = 302400

False

According to theorem:-In the permutations of n things, r taken together, the number of permutations in which m particular things occur together ^n-mP_r-m

A bundle of 2 specific things can be put in r places in (r – 1) ways (Why?) and 2 things in the bundle can be arranged themselves into 2! ways. Now (n – 2) things will be arranged in (r – 2) places in ^{n –2}P_{r –2} ways.

Thus, using the fundamental principle of counting, the required numer of permutations will be 2!.(r - 1).^n-2P_r-2

When a solution of an acid is mixed with a solution of a base then the temperature of the solution increases as it is an exothermic reaction and the corresponding salt formation takes place.

False 

The separation of H⁺ ion from HCl molecules cannot occur in the absence of water. As in the absence of any solvent, the H⁺ would not be able to dissociate from its formula mass.

(i) In NH₄⁺, all are bond pairs whereas in ammonia the lone pair of electron on nitrogen repels the bond pairs and reduces the bond angle.

(ii) I-Cl bond is weaker than I-l bond /low bond dissociation enthalpy in I-Cl

Electron deficient species are those in which the central atom in their molecules as the tendency to accept on or more electron pairs. They are also known as Lewis acids .BCl₃ and SiCl₄ both are electron deficient species. Since, in BCl₃ and B atom as only 6 electrons therefore, it is an electron deficient compound. In SiCl₄ the central atom as 8 electrons but it can expand it covalence beyond 4 due to the presence of d-orbital. Thus .SiCl₄ should also be considered as electron deficient spaces.

CO₂ traps the infrared heat radiations and forms a heat blanket and cause global warming.

(a) Al reaches with conc.HNO₃ to form a very thin film of Al oxide on its surface which protects it from further reaction 

2Al(S) +b 6HNO₃ (conc.) – Al₂O₃ (s) +6NO₂(g) +3H₂o(l) 

(b) NaOH reacts with Al to evolve Hydrogen gas. Thus the pressure of the gas produced can be used for clogged drain 

2Al(s) + 2NaOH (aq) + 2 H₂O (l) ----------> – 2NaAlO₂ (aq) +3 H₂ (g) 

(c) Graphite has layered structures which are held by weak van der waals forces. Thus, graphite cleaves easily b/w the layer; therefore it is very soft and slippery. That’s why it is used as lubricant. 

1. Diamond has three-dimensional network whereas graphite has two successive layers. 

2. Diamond has high density while graphite has low. 

3. Diamond has sp³ and graphite has sp² hybridised carbon atom.

B) decomposition

Correct option is C) glucose

(1) Sulphide ores

Cationic detergents : 

These are quaternary ammonium salts having one long chain alkyl group.

e.g.,

Ethyltrimethylammonium bromide :

[CH₃(CH₂)₁₅ – N⁺(CH₃)₃]Br^-

Cationic detergents are acetates, chlorides or bromides of quaternary ammonium salts. Cationic part possesses a long hydrocarbon chain and positive charge.

E.g. Cetylmethyl ammonium bromide

Cationic detergent are quaternary ammonium salts of amines with acetates, chlorides or bromides anions/Cationic part has a long chain hydrocarbons which is involved in cleansing action.

Variable width character string is given by the data type varchar

ANSI Published SQL standard in 1986

Answer is (c) float

Relational DataBase Management System

The latest SQL standard as of now is SQL 2008

RDBMS stands for Relational DataBase Management System. Orqcle, MySQL, MS SQL Server, IBM DB2 and Microsoft Access are RDBMS packages. RDBMS is a type of DBMS with a row-based table structure that connects related data elements and includes functions related to Create, Read, Update and Delete operations, collectively known as CRUD.

The SQL was called as sequel in early 1970’s.

(a) keywords

Identify which is not a RDBMS package Php

By Data Manipulation we mean,

1. Insertion of new information into the database

2. Retrieval of information stored in a database.

3. Deletion of information from the database.

4. Modification of data stored in the database.

Structured Query Language

SELECT * FROM employee WHERE desig = ’Managers’.

A database is a collection of tables.

(b) create read update delete

SELECT * FROM student WHERE age >= 18 GROUP BY city

A table is a collection of related data entries and it consist of rows and columns.

SELECT * FROM STUDENT WHERE AGE <= 18 ORDER BY NAME.

Each table must have at least 1 column

Field is the vertical entity that contains all information associated with a specific field in a table

To work with the databases, the command used is use database

Set keyword in update command is used to assign new data. True

(b) ORDER BY

The DML command is used to insert, delete and update rows into the table.

Arguments are the values given to make the clause complete

(d) delete row

1. where

2. group by

ALL Keyword 

The ALL keyword retains duplicate rows. It will display every row of the table without considering duplicate entries.

SELECT ALL Place FROM Student:

The above command will display all values of place field from every row of the table without considering the duplicate entries.

DISTINCT Keyword: 

The DISTINCT keyword is used along with the SELECT command to eliminate duplicate rows in the table. This helps to eliminate redundant data.

For Example: SELECT DISTINCT Place FROM Student; 

Will display the following data as follows :

SELECT * FROM Student;

Output

Place

Chennai

Bangalore

Delhi