## NTA UGC NET Dec 2023 Paper-1

Question 1 |

The following table shows the number of building constructed in six different towns A-F of a state S over the seven years from 2016-2022. Based on the data in the table, answer the questions that follow.

Town-wise Details of buildings Constructed.

Q1: Across the state S, the total number of buildings constructed in 2016 is approximately _____ % of the total number of buildings constructed in 2018?

Town-wise Details of buildings Constructed.

Q1: Across the state S, the total number of buildings constructed in 2016 is approximately _____ % of the total number of buildings constructed in 2018?

81 | |

94 | |

84 | |

74 |

Question 1 Explanation:

Total buildings in 2016: Sum the values in the "2016" column for all towns (A-F): 3000 + 2500 + 2960 + 3448 + 2040 + 2272 = 16220

Total buildings in 2018: Sum the values in the "2018" column for all towns (A-F): 3220 + 2640 + 3090 + 3600 + 2200 + 2460 = 17110

Percentage of 2016 buildings in 2018: (16220 / 17110) * 100% ≈ 94.7

Total buildings in 2018: Sum the values in the "2018" column for all towns (A-F): 3220 + 2640 + 3090 + 3600 + 2200 + 2460 = 17110

Percentage of 2016 buildings in 2018: (16220 / 17110) * 100% ≈ 94.7

Question 2 |

The following table shows the number of building constructed in six different towns A-F of a state S over the seven years from 2016-2022. Based on the data in the table, answer the questions that follow.

Town-wise Details of buildings Constructed.

Q2: What is the percentage increase in the number of buildings constructed in Town D in 2018 with reference to the previous year?

Town-wise Details of buildings Constructed.

Q2: What is the percentage increase in the number of buildings constructed in Town D in 2018 with reference to the previous year?

3.85 | |

2.85 | |

4.85 | |

4 |

Question 2 Explanation:

Number of buildings constructed in Town D in 2017: 3500 (from the "2017" column for Town D)

Number of buildings constructed in Town D in 2018: 3600 (from the "2018" column for Town D)

Percentage Increase = ((3600 - 3500) / 3500) * 100% = 4%

Therefore, the number of buildings constructed in Town D increased by 4% from 2017 to 2018.

Number of buildings constructed in Town D in 2018: 3600 (from the "2018" column for Town D)

Percentage Increase = ((3600 - 3500) / 3500) * 100% = 4%

Therefore, the number of buildings constructed in Town D increased by 4% from 2017 to 2018.

Question 3 |

The following table shows the number of building constructed in six different towns A-F of a state S over the seven years from 2016-2022. Based on the data in the table, answer the questions that follow.

Town-wise Details of buildings Constructed.

Q3: In the context of towns E and F together, what is the difference between the number of buildings constructed in 2021 and that in 2017?

Town-wise Details of buildings Constructed.

Q3: In the context of towns E and F together, what is the difference between the number of buildings constructed in 2021 and that in 2017?

630 | |

830 | |

430 | |

410 |

Question 3 Explanation:

Number of buildings in towns E and F in 2021: 2350 (from Town E) + 2560 (from Town F) = 4910

Number of buildings in towns E and F in 2017: 2100 (from Town E) + 2380 (from Town F) = 4480

Difference in number of buildings: 4910 (2021) - 4480 (2017) = 430

Number of buildings in towns E and F in 2017: 2100 (from Town E) + 2380 (from Town F) = 4480

Difference in number of buildings: 4910 (2021) - 4480 (2017) = 430

Question 4 |

The following table shows the number of building constructed in six different towns A-F of a state S over the seven years from 2016-2022. Based on the data in the table, answer the questions that follow.

Town-wise Details of buildings Constructed.

Q4: What is the total number of building constructed in Town B over all the seven years?

Town-wise Details of buildings Constructed.

Q4: What is the total number of building constructed in Town B over all the seven years?

17870 | |

18780 | |

17780 | |

18870 |

Question 4 Explanation:

Sum the values in the "Town B" column for all years:

2500+2568+2640+2670+2792+2800+2900

=18870

2500+2568+2640+2670+2792+2800+2900

=18870

Question 5 |

The following table shows the number of building constructed in six different towns A-F of a state S over the seven years from 2016-2022. Based on the data in the table, answer the questions that follow.

Town-wise Details of buildings Constructed.

Q5: Total number of building constructed over the years from 2020 to 2022 is more than 8500 in exactly ______ towns.

Town-wise Details of buildings Constructed.

Q5: Total number of building constructed over the years from 2020 to 2022 is more than 8500 in exactly ______ towns.

2 | |

3 | |

4 | |

5 |

Question 5 Explanation:

Town A: 3300 (2020) + 3320 (2021) + 3400 (2022) = 10020

Town B: 2792 (2020) + 2800 (2021) + 2900 (2022) = 8492

Town C: 3192 (2020) + 3200 (2021) + 3268 (2022) = 9660

Town D: 3664 (2020) + 3760 (2021) + 3792 (2022) = 11216

Town E: 2320 (2020) + 2350 (2021) + 2380 (2022) = 7050

Town F: 2530 (2020) + 2560 (2021) + 2588 (2022) = 7678

From the above calculations, there 3 towns(A,C and D) are more than 8500 buildings constructed.

Town B: 2792 (2020) + 2800 (2021) + 2900 (2022) = 8492

Town C: 3192 (2020) + 3200 (2021) + 3268 (2022) = 9660

Town D: 3664 (2020) + 3760 (2021) + 3792 (2022) = 11216

Town E: 2320 (2020) + 2350 (2021) + 2380 (2022) = 7050

Town F: 2530 (2020) + 2560 (2021) + 2588 (2022) = 7678

From the above calculations, there 3 towns(A,C and D) are more than 8500 buildings constructed.

Question 6 |

Which of the following gasses has the maximum contribution to Global Warming?

Chlorofluorocarbons (CFCs) | |

Methane (CH _{4}) | |

Sulfur Hexafluoride (SF _{6}) | |

Carbon dioxide (CO _{2}) |

Question 7 |

A milkman buys 20 liters of milk from a dairy at the cost of Rs.50 per liter. He also purchases some mineral water at the rate of Rs 20 per liter and adds it to the milk. He then sells the adulterated milk at the rate of Rs. 60 per liter and makes a profit of Rs. 400. What is the amount of water he added to the milk?

10 liter | |

8 liter | |

5 liter | |

4 liter |

Question 7 Explanation:

Cost Price (CP) of 20 litres of milk = 20×Rs.50=Rs.1000

Let's assume the milkman adds x liters of mineral water.

Cost Price (CP) of x liters of mineral water = x×Rs.20=Rs.20x

The total cost of the adulterated milk (milk + water) is Rs.1000+Rs.20x

Selling Price (SP) of the adulterated milk = 60×(20+x)

Profit = SP - CP

400=60×(20+x)−(1000+20x)400

Now, solve for x:

400=1200+60x−1000−20x

Combine like terms:

400=200+40x

Subtract 200 from both sides:

200=40x

Divide by 40:

x=5

Let's assume the milkman adds x liters of mineral water.

Cost Price (CP) of x liters of mineral water = x×Rs.20=Rs.20x

The total cost of the adulterated milk (milk + water) is Rs.1000+Rs.20x

Selling Price (SP) of the adulterated milk = 60×(20+x)

Profit = SP - CP

400=60×(20+x)−(1000+20x)400

Now, solve for x:

400=1200+60x−1000−20x

Combine like terms:

400=200+40x

Subtract 200 from both sides:

200=40x

Divide by 40:

x=5

Question 8 |

Given below are two statements:

Statement (I): Pearson's coefficient of correlation 'r' is a very useful measure of the strength and direction of the relationship between two nominal variables.

Statement (II): Pearson's coefficient of correlation 'r' always lies between 0 and 1

In the light of the above statements, choose the most appropriate answer from the options given below:

Statement (I): Pearson's coefficient of correlation 'r' is a very useful measure of the strength and direction of the relationship between two nominal variables.

Statement (II): Pearson's coefficient of correlation 'r' always lies between 0 and 1

In the light of the above statements, choose the most appropriate answer from the options given below:

Both statement I and Statement II are correct | |

Both statement I and Statement II are incorrect | |

Statement I is incorrect but Statement II are correct | |

Statement I is correct but Statement II are incorrect |

Question 8 Explanation:

Statement I is incorrect because Pearson's coefficient of correlation 'r' is typically used for measuring the strength and direction of the relationship between two

Statement II is incorrect because the range of Pearson's correlation coefficient 'r' is from -1 to 1, not 0 to 1. A correlation of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship.

**continuous**variables, not nominal variables.Statement II is incorrect because the range of Pearson's correlation coefficient 'r' is from -1 to 1, not 0 to 1. A correlation of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship.

Question 9 |

Identify the correct sequence of the missing units of data A-D that can be used to represent the size of a file, as it changes in size. The units of data increase in size from smallest to largest as given below.

bit

--------

--------

kilo Byte (KB)

--------

--------

tera Byte (TB)

(A) byte

(B) gigaByte (GB)

(C) megaByte (MB)

(D) nibble

Choose the correct answer from the options given below:

bit

--------

--------

kilo Byte (KB)

--------

--------

tera Byte (TB)

(A) byte

(B) gigaByte (GB)

(C) megaByte (MB)

(D) nibble

Choose the correct answer from the options given below:

(D), (A), (C), (B) | |

(A), (C), (D), (B) | |

(D), (A), (B), (C) | |

(A), (D), (C), (B) |

Question 10 |

The Hindu College in Banares set up by Annie Besant before Independence proposed to impart:

Physical education | |

Religious and moral education | |

Western education | |

Medical Education |

Question 11 |

Given below are two statements

Statement (I): Truth and falsehood are attributes of individual propositions

Statement (II): Validity can be attributed to any single proposition by itself.

In the light of the above statements, choose the most appropriate answer from below the options given

Statement (I): Truth and falsehood are attributes of individual propositions

Statement (II): Validity can be attributed to any single proposition by itself.

In the light of the above statements, choose the most appropriate answer from below the options given

Both Statement I and Statement II are correct | |

Both Statement I and Statement II are incorrect | |

Statement 1 is correct but Statement II is incorrect | |

Statement I is incorrect but Statement Il is correct |

Question 11 Explanation:

Statement 1: This is correct. Truth and falsehood are indeed attributes of individual propositions. A proposition is a statement that can be either true or false. For example, "The Earth is round" is a proposition, and it is true.

Statement 2: This is incorrect. Validity cannot be attributed to a single proposition by itself. Validity is a property of arguments, not propositions. An argument is a set of propositions arranged in a certain way to reach a conclusion. The validity of an argument simply means that if the premises are true, then the conclusion must be true. However, a single proposition, by itself, cannot be valid or invalid. It can only be true or false.

Statement 2: This is incorrect. Validity cannot be attributed to a single proposition by itself. Validity is a property of arguments, not propositions. An argument is a set of propositions arranged in a certain way to reach a conclusion. The validity of an argument simply means that if the premises are true, then the conclusion must be true. However, a single proposition, by itself, cannot be valid or invalid. It can only be true or false.

Question 12 |

Which of the following refers to a meth a method of sampling in which a core group of participants who are initially sampled for a research study recruit or recommend other potential participants?

Simple random sampling | |

Snowball sampling | |

Quota sampling | |

Stratified random sampling |

Question 12 Explanation:

Snowball sampling is a method of sampling in which existing study participants recruit or refer other potential participants. This technique is often used when it is difficult to identify and access the target population directly.