Tag: maths

Questions Related to maths

Which of the following operations is conducted after a gap of every ten years?

  1. Economic survey

  2. Estimates of Foreign Direct Investment (FDI)

  3. Compilation of Human Development Report

  4. General Census


Correct Option: D
Explanation:

General census is official counting of a region's or nation's people and compilation of economics , social and other data usually for formulation of development policies and plans etc.

General census is an operation which is conducted after a gap of every ten years .

More practical and inexpensive method of sampling is__________.

  1. lottery method.

  2. use of table of random numbers.

  3. both (A) and (B).

  4. none of the above


Correct Option: B
Explanation:

Use of table of random numbers is less time consuming and less expensive as compared to lottery as lottery deals with a large set of population or samples and also it is a time consuming method.

In a random number table, each digit appears with___________.

  1. the same frequency

  2. independent of each other

  3. dependent of each other

  4. both (A) and (B)


Correct Option: D
Explanation:

In a random number table, every digit has got an equal probability of being appearing and are independent of each other as selection of one number is not influenced by any other number.

In which of the following cases is direct personal observation method adopted?

  1. Where greater accuracy is needed .

  2. When the field is an complex one

  3. When intensive study is needed

  4. All of the above


Correct Option: D
Explanation:

Direct personal observation is the method adopted so that an intensive study of the population can be done. Direct observation helps in getting accurate results as their behaviour can be easily ascertained.

In a predominantly illiterate area consisting of 10,000 population, data has to be collected from 10% of them. The appropriate technique for data collection would be ________.

  1. questionnaire

  2. schedule

  3. interview

  4. all of the above


Correct Option: A

The techniques of census investigation is advocated by its users because of _________________.

  1. intensive study i.e. It enables to study more than one aspect of each item of population

  2. reliability of data

  3. suitable choice in the situations when different items of population are not homogeneous

  4. All of above


Correct Option: D
Explanation:
Census investigation refers to the examining the whole population. It involves complete count. The technique of census investigation is advocated by its users because of the following reasons-
a) intensive study i.e. It enables to study more than one aspect of each item of population
b) reliability of data
c) suitable choice in the situations when different items of population are not homogeneous

The amount of non-responses is maximum in ___________________.

  1. mailed questionnaire method

  2. observation method

  3. interview method

  4. All of above


Correct Option: A
Explanation:

Under mailed questionnaire method, a well designed questionnaire is mailed to the informants with a request to fill it up and return the same within the specific time schedule. By this method, a wide range of people can be connected. The amount of non-responses is maximum in maid questionnaire method as most people are reluctant to answer the questions which are mailed.

In year $2011$, India has almost ____________ of world population.

  1. $1.22\%$

  2. $1.154\%$

  3. $17.50\%$

  4. $1.95\%$


Correct Option: C

Write down the values of:
$(5+\sqrt3)^2$

  1. $22-10\sqrt{3}$

  2. $28+10\sqrt{3}$

  3. $22+10\sqrt{3}$

  4. $28-10\sqrt{3}$


Correct Option: B
Explanation:

$(5+\sqrt3)^2\=5^2+(\sqrt3)^2+2\times5\times\sqrt3\=25+3+10\sqrt3\=28+10\sqrt3$

Write down the values of:
$(\sqrt5+\sqrt6)^2$

  1. $\sqrt5+\sqrt6+\sqrt{30}$

  2. $11+2\sqrt{30}$

  3. $11+\sqrt{30}$

  4. $\sqrt{11}+60$


Correct Option: B
Explanation:

$(\sqrt5+\sqrt6)^2\=(\sqrt5)^2+(\sqrt6)^2+2\times \sqrt5\times\sqrt6\=5+6+2\sqrt{30}\=11+2\sqrt{30}$