Joint Csir-UGC NET December 2014 Model Practice Set

1. If the radius of a circle is increased by 50%, the perimeter of the circle will be increased by

20%

30%

40%

50%

When the radius of a circle is increased by 50%, the new radius becomes 1.5 times the original radius. The perimeter of a circle is given by the formula P = 2πr, where r is the radius. Since the radius has increased by 50%, the new perimeter will be 2π(1.5r) = 3πr. This means that the new perimeter is 3 times the original perimeter. To find the percentage increase, we subtract 1 from 3 (3-1 = 2) and multiply by 100. Therefore, the perimeter of the circle will be increased by 200%, which is equivalent to a 100% increase.

Explanation

When the radius of a circle is increased by 50%, the new radius becomes 1.5 times the original radius. The perimeter of a circle is given by the formula P = 2πr, where r is the radius. Since the radius has increased by 50%, the new perimeter will be 2π(1.5r) = 3πr. This means that the new perimeter is 3 times the original perimeter. To find the percentage increase, we subtract 1 from 3 (3-1 = 2) and multiply by 100. Therefore, the perimeter of the circle will be increased by 200%, which is equivalent to a 100% increase.

2. Instructions: The next two questions (11-12) consist of a question and two statements with the number I & II. You need to decide whether the data provided in statements are enough to answer the question.Read both the statements in the next two questions and give the answerWhen is the Rishabh's birthday this year?(I) It is between January 13 & 15, January 13 being Wednesday(II) It is not on Friday

If the data either in statement I alone or statement II alone are not sufficient to answer the question; and

If the data either in statements I and II together are not sufficient to answer the question

The question is asking for Rishabh's birthday this year. Statement I provides the information that Rishabh's birthday is between January 13 and 15, with January 13 being a Wednesday. However, this information alone is not sufficient to determine the exact date of Rishabh's birthday. Statement II states that Rishabh's birthday is not on Friday. This information alone is enough to determine the exact date of Rishabh's birthday, as it eliminates Friday as a possibility. Therefore, the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient.

Explanation

The question is asking for Rishabh's birthday this year. Statement I provides the information that Rishabh's birthday is between January 13 and 15, with January 13 being a Wednesday. However, this information alone is not sufficient to determine the exact date of Rishabh's birthday. Statement II states that Rishabh's birthday is not on Friday. This information alone is enough to determine the exact date of Rishabh's birthday, as it eliminates Friday as a possibility. Therefore, the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient.

3. Which is the characteristic of research?

Scientific, Systematic and Planned

Generalization

A process with patience

All of above.

The characteristic of research is that it is scientific, systematic, and planned. Research follows a scientific approach by using empirical evidence and logical reasoning to investigate a problem. It is systematic as it involves a structured and organized process of collecting, analyzing, and interpreting data. Research is also planned, meaning that it requires careful planning and design to ensure that the objectives are achieved effectively. Therefore, the correct answer is "All of above" as all the given options correctly describe the characteristics of research.

Explanation

The characteristic of research is that it is scientific, systematic, and planned. Research follows a scientific approach by using empirical evidence and logical reasoning to investigate a problem. It is systematic as it involves a structured and organized process of collecting, analyzing, and interpreting data. Research is also planned, meaning that it requires careful planning and design to ensure that the objectives are achieved effectively. Therefore, the correct answer is "All of above" as all the given options correctly describe the characteristics of research.

4. The mean of four numbers a, b, c, d is 100. If c = 70 then the mean of the remaining numbers is

30

85/2

170/3

110

If the mean of four numbers a, b, c, d is 100 and c is 70, then the sum of the four numbers is 4 * 100 = 400. Since c is 70, the sum of the remaining three numbers is 400 - 70 = 330. To find the mean of the remaining numbers, we divide the sum by the number of remaining numbers, which is 3. Therefore, the mean of the remaining numbers is 330 / 3 = 110.

Explanation

If the mean of four numbers a, b, c, d is 100 and c is 70, then the sum of the four numbers is 4 * 100 = 400. Since c is 70, the sum of the remaining three numbers is 400 - 70 = 330. To find the mean of the remaining numbers, we divide the sum by the number of remaining numbers, which is 3. Therefore, the mean of the remaining numbers is 330 / 3 = 110.

5. Instructions: The next three questions (8-10) is related to the reaction time experiments in a college. A table has been provided below on the scores given in three different sets on different times to students

Class	Set I	Set II	Set III
1	616	500	300
2	711	720	511
3	898	988	678
4	740	612	450
5	421	533	250
6	812	844	614
7	521	541	341
8	781	777	551
9	698	756	448
10	701	676	305

In respect of the scores, which of the following is true?

All sets are inter-linked.

Set I and II explains positive relationships.

Set II and III are inter-linked.

None of the above.

The given table shows the scores given in three different sets on different times to students. By comparing the scores in Set I and Set II, it can be observed that as the scores in Set I increase, the scores in Set II also increase. This indicates a positive relationship between the two sets. However, there is no clear relationship between Set II and Set III, as the scores in Set III do not follow a consistent pattern with the scores in Set II. Therefore, the correct answer is "Set I and II explains positive relationships."

Explanation

The given table shows the scores given in three different sets on different times to students. By comparing the scores in Set I and Set II, it can be observed that as the scores in Set I increase, the scores in Set II also increase. This indicates a positive relationship between the two sets. However, there is no clear relationship between Set II and Set III, as the scores in Set III do not follow a consistent pattern with the scores in Set II. Therefore, the correct answer is "Set I and II explains positive relationships."

6. Instructions: The next three questions (8-10) is related to the reaction time experiments in a college. A table has been provided below on the scores given in three different sets on different times to students

Class	Set I	Set II	Set III
1	616	500	300
2	711	720	511
3	898	988	678
4	740	612	450
5	421	533	250
6	812	844	614
7	521	541	341
8	781	777	551
9	698	756	448
10	701	676	305

According to the data given-

Set I & III are inversely proportional.

Set II & III are negatively related.

(A) and (B) both are true.

(A) and (B) both are wrong.(A) and (B) both are wrong.

The correct answer is (A) and (B) both are wrong. The statement in the answer choice is "Set II & III are negatively related." However, based on the given data, there is no evidence or information provided to support this statement. Therefore, the answer choice is incorrect.

Explanation

The correct answer is (A) and (B) both are wrong. The statement in the answer choice is "Set II & III are negatively related." However, based on the given data, there is no evidence or information provided to support this statement. Therefore, the answer choice is incorrect.

7. Instructions: The next three questions (8-10) is related to the reaction time experiments in a college. A table has been provided below on the scores given in three different sets on different times to students

Class	Set I	Set II	Set III
1	616	500	300
2	711	720	511
3	898	988	678
4	740	612	450
5	421	533	250
6	812	844	614
7	521	541	341
8	781	777	551
9	698	756	448
10	701	676	305

Which set exhibits maximum reaction time?

Set I

Set II

Set III

None of the above

Set II exhibits the maximum reaction time because it has the highest scores among the three sets. The scores in Set II are consistently higher than the scores in Set I and Set III, indicating that the students in Set II took longer to react in the experiments.

Explanation

Set II exhibits the maximum reaction time because it has the highest scores among the three sets. The scores in Set II are consistently higher than the scores in Set I and Set III, indicating that the students in Set II took longer to react in the experiments.

8. Instructions: The next two questions (11-12) consist of a question and two statements with the number I & II. You need to decide whether the data provided in statements are enough to answer the question.Read both the statements in the next two questions and give the answerHow A is related to B?

B says, "I have only one brother".
A says, "I have only one sister".

If the data either in statement I alone or statement II alone are not sufficient to answer the question; and

If the data either in statements I and II together are not sufficient to answer the question

The given answer suggests that neither statement I nor statement II alone is sufficient to answer the question of how A is related to B. It also implies that the data in both statements I and II together are not sufficient to answer the question. Therefore, additional information is needed to determine the relationship between A and B.

Explanation

The given answer suggests that neither statement I nor statement II alone is sufficient to answer the question of how A is related to B. It also implies that the data in both statements I and II together are not sufficient to answer the question. Therefore, additional information is needed to determine the relationship between A and B.

9. How many rectangles are there in the image given below?

11

21

24

26

In the given image, there are rectangles of different sizes and orientations. To count the number of rectangles, we need to carefully observe the image. By counting the rectangles individually, we can identify a total of 24 rectangles in the image.

Explanation

In the given image, there are rectangles of different sizes and orientations. To count the number of rectangles, we need to carefully observe the image. By counting the rectangles individually, we can identify a total of 24 rectangles in the image.

10. Which of the following is not the difference between Action Research (AR) and Basic Research (BR)?

In BR, Evaluation is external while in AR, a researcher evaluates itself

AR is for immediate amendment in a process while BR for inventing newer one

In AR, structural design is flexible and easy while in BR, design is not flexible

None of the above

The given answer states that none of the options provided are a difference between Action Research (AR) and Basic Research (BR). This means that all the statements provided in the options are differences between AR and BR. Therefore, the correct answer suggests that there are differences in evaluation, purpose, and structural design between AR and BR.

Explanation

The given answer states that none of the options provided are a difference between Action Research (AR) and Basic Research (BR). This means that all the statements provided in the options are differences between AR and BR. Therefore, the correct answer suggests that there are differences in evaluation, purpose, and structural design between AR and BR.

11. Errors that don't remain in sampling

Random Errors

Sampling Errors

Collection Errors

Measurement ErrorsMeasurement ErrorsMeasurement Errors

Collection errors refer to mistakes or inaccuracies that occur during the process of collecting data. These errors can include issues such as recording incorrect information, omitting data, or using faulty measurement instruments. Measurement errors, on the other hand, pertain to inaccuracies in the actual measurement or observation of the data. Therefore, the given answer of "Collection Errors" is correct as it specifically addresses errors that occur during the data collection process, rather than errors in measurement.

Explanation

Collection errors refer to mistakes or inaccuracies that occur during the process of collecting data. These errors can include issues such as recording incorrect information, omitting data, or using faulty measurement instruments. Measurement errors, on the other hand, pertain to inaccuracies in the actual measurement or observation of the data. Therefore, the given answer of "Collection Errors" is correct as it specifically addresses errors that occur during the data collection process, rather than errors in measurement.

12. Which of the following is not type of variable?

Independent Variable

Intervening Variable

Controlled Variable

None of the above

The given answer "None of the above" is correct because all the options listed - Independent Variable, Intervening Variable, and Controlled Variable - are types of variables. Therefore, there is no option that is not a type of variable.

Explanation

The given answer "None of the above" is correct because all the options listed - Independent Variable, Intervening Variable, and Controlled Variable - are types of variables. Therefore, there is no option that is not a type of variable.

13. Computer is not being used in education as

An equipment

An interactive teaching tool

A management tool

An assessment

The computer is not being used in education as an assessment because it is not being utilized to evaluate or measure the learning progress or outcomes of students. While computers can be used for various educational purposes such as equipment, interactive teaching tools, and management tools, they are not typically employed as a means of assessment in education. This suggests that other methods or tools are being used for evaluating students' knowledge and performance.

Explanation

The computer is not being used in education as an assessment because it is not being utilized to evaluate or measure the learning progress or outcomes of students. While computers can be used for various educational purposes such as equipment, interactive teaching tools, and management tools, they are not typically employed as a means of assessment in education. This suggests that other methods or tools are being used for evaluating students' knowledge and performance.

14. Which is responsible for Green House Effect?

Increasing volume of CO

Increasing volume of

Increasing volume of CO2+CH4

Increasing volume of CH4

The increasing volume of CO2 and CH4 is responsible for the Greenhouse Effect. These gases trap heat in the Earth's atmosphere, leading to a rise in global temperatures. CO2 is released through the burning of fossil fuels, deforestation, and industrial processes. CH4, also known as methane, is emitted from natural sources like wetlands and livestock, as well as from human activities such as agriculture and the production of coal, oil, and gas. The accumulation of these gases in the atmosphere enhances the greenhouse effect, causing climate change and its associated impacts.

Explanation

The increasing volume of CO2 and CH4 is responsible for the Greenhouse Effect. These gases trap heat in the Earth's atmosphere, leading to a rise in global temperatures. CO2 is released through the burning of fossil fuels, deforestation, and industrial processes. CH4, also known as methane, is emitted from natural sources like wetlands and livestock, as well as from human activities such as agriculture and the production of coal, oil, and gas. The accumulation of these gases in the atmosphere enhances the greenhouse effect, causing climate change and its associated impacts.

15. Which are not the computer sub-systems?

Software

Hardware

Applicationware

Humanware

Applicationware is not considered a computer sub-system because it is not a physical component or part of a computer system. Software, hardware, and humanware are all sub-systems of a computer. Software refers to the programs and operating systems that run on the hardware. Hardware refers to the physical components of a computer system, such as the processor, memory, and storage devices. Humanware refers to the human users and their interactions with the computer system. However, applicationware is not a recognized term in the field of computer systems and is not considered a sub-system.

Explanation

Applicationware is not considered a computer sub-system because it is not a physical component or part of a computer system. Software, hardware, and humanware are all sub-systems of a computer. Software refers to the programs and operating systems that run on the hardware. Hardware refers to the physical components of a computer system, such as the processor, memory, and storage devices. Humanware refers to the human users and their interactions with the computer system. However, applicationware is not a recognized term in the field of computer systems and is not considered a sub-system.