APPSC General Aptitude Mock Test - 8 - APPSC (Andhra Pradesh) MCQ

To determine the maximum possible average weight of the class after new students join, let's break down the problem step by step.

1. Initial Class Details:

   • Number of Students: 40
   • Average Weight: 40 kg
   • Total Weight: 40 students * 40 kg/student = 1600 kg

2. New Students Joining:

   • Number of New Students: m
   • Average Weight of New Students: n kg
   • Given Constraint: m + n = 50

3. Total Class After New Students Join:

   • Total Number of Students: 40 + m
   • Total Weight: 1600 kg + (m * n) kg

4. Combined Average Weight Formula:

• Given the constraint m + n = 50, we can express n as (50 - m).

• Substituting n in the Formula:

• Finding the Maximum Average: We aim to find the value of m (and consequently n) that maximizes the combined average. We'll evaluate this for integer values of m from 1 to 49 (since n has to be at least 1).

  Calculating a few values:

  • When m = 5:

    • n = 50 - 5 = 45
    • Total Weight = 1600 + (5 * 45) = 1600 + 225 = 1825 kg
    • Total Students = 40 + 5 = 45
    • Combined Average = 1825 kg / 45 students ≈ 40.5556 kg

  • When m = 4:

    • Combined Average ≈ 40.5455 kg

  • When m = 6:

    • Combined Average ≈ 40.5217 kg

  Observing these calculations, the maximum average occurs when m = 5.

• Conclusion:

  • Number of New Students: 5
  • Average Weight of New Students: 45 kg
  • Combined Average Weight: Approximately 40.5556 kg

Required sum = θ + 180° - θ + 180° - θ + 180° - θ + θ + 8 = 540°

• The Ministry of Home Affairs (MHA) has completed the Mother Tongue Survey of India (MTSI) with field videography of the country’s 576 languages.
• According to the report, the Mother Tongue Survey of India is a project that “surveys the mother tongues, which are returned consistently across two and more Census decades”. It also documents the linguistic features of the selected languages.

The Kessler syndrome (also called the Kessler effect, proposed by the NASA scientist Donald J. Kessler in 1978, is a scenario in which the density of objects in low Earth orbit (LEO) is high enough that collisions between objects could cause a cascade—each collision generating space debris which increases the likelihood of further collisions. One implication is that the distribution of debris in orbit could render space exploration, and even the use of satellites, unfeasible for many generations.

• The adjacent faces to the face which 3 points have 2, 1, 4 and 6 points.
• Hence on the face which is opposite to the face which contains 3 points, there will be 5 points.

Cooking gas consists of mostly liquified butane and isobutane.

To determine which word in the code language means 'flower,' let's analyze the statements.

Statements

Statement I:
'de fu la pane' means 'rose flower is beautiful'
'la quiz' means 'beautiful tree'

Statement II:
'de la chin' means 'red rose flower'
'pa chin' means 'red tea'

Analysis

Statement I Analysis:

• From 'de fu la pane' = 'rose flower is beautiful', we can identify the words for 'rose', 'flower', 'is', and 'beautiful'.
• From 'la quiz' = 'beautiful tree', we can identify the words for 'beautiful' and 'tree'.
• Thus, we have the common word 'la' which appears in both statements, indicating it could be 'beautiful'.

Combining this, we can deduce:

• 'de' might be 'rose' or 'flower'
• 'fu' might be 'rose' or 'flower'
• 'pane' might be 'is' or 'beautiful'
• 'quiz' means 'tree'
• 'la' means 'beautiful'

From these deductions, 'flower' can be identified if we compare it with 'de' or 'fu'. But we do not have enough information to exactly determine which one is 'flower'.

Statement II Analysis:

• From 'de la chin' = 'red rose flower', we have:
  • 'de' = 'red'
  • 'la' = 'rose' (by elimination, because 'chin' has to be 'flower')
• From 'pa chin' = 'red tea':
  • 'pa' = 'tea'
  • 'chin' = 'red'

Here, 'chin' seems to be 'red', and 'de' is 'flower' which is consistent with the given data.

Since 'chin' = 'red' and 'de' = 'flower', we have clearly identified 'de' as 'flower'.

Conclusion

Statement II alone is sufficient to determine that 'de' means 'flower'.

Statement I alone does not provide sufficient information to identify the word for 'flower' precisely.

Thus, the correct answer is:

(D) If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

We know that the sum of the opposite angles of a cyclic quadrilateral is 180 degrees. Let the four angles be A, B, C, and D, with A and B being the angles divisible by 6 and 10, respectively.

Since A is divisible by 6 and B is divisible by 10, we know that A = 6m and B = 10n for some integers m and n.

Now, consider the opposite angles. Since the sum of opposite angles is 180 degrees, we have:

C = 180 - B = 180 - 10n
D = 180 - A = 180 - 6m

We want to find which of the given options the angles C or D are necessarily divisible by. Let's examine each option:

1. 3: Since B is divisible by 10, it is possible that B is divisible by 5 but not 3 (e.g. B = 10). In this case, C = 180 - B would not be divisible by 3. Also, A is divisible by 6, so A is always divisible by 3, which means D = 180 - A would never be divisible by 3. So, this option is incorrect.

2. 4: Since A is divisible by 6, it is possible that A is divisible by 2 but not 4 (e.g. A = 6). In this case, D = 180 - A would not be divisible by 4. Also, B is divisible by 10, so B is always divisible by 2, which means C = 180 - B would never be divisible by 4. So, this option is also incorrect.

3. 8: If A is divisible by 6, then it can be even or odd multiples of 6 (e.g. A = 6, 12, 18, ...). D will be 180 - A, which means D can be both even and odd (e.g. D = 180 - 6 = 174, D = 180 - 12 = 168, D = 180 - 18 = 162, ...). Since D can be both even and odd, it is not necessarily divisible by 8. Similarly, C can also be both even and odd, so it is not necessarily divisible by 8. Thus, this option is also incorrect.

4. None of these: Since none of the previous options work, the correct answer is None of these.

So, the correct answer is option 4: None of these.

Statement 2 is incorrect.

The onset of the monsoon over Kerala signals the beginning of the four-month (June-September) southwest monsoon season, during which India gets more than 70% of its annual rainfall. It is an important day in the economic calendar of the country.

Contrary to what is sometimes assumed, the onset does not mean the first rain of the season. That can start happening in certain places even before the onset is declared.

For example, the Andaman and Nicobar Islands usually start receiving monsoon rainfall between May 15 and May 20, and it starts raining along the Kerala coast in the last week of May. However, ‘onset’ is a technical expression with a specific definition — and the IMD does not officially declare onset until certain prescribed conditions are met.

According to the IMD, the onset of the monsoon happens when there is a significant transition in the large-scale atmospheric and ocean circulations in the Indo-Pacific region. IMD announces the onset of the monsoon only after certain precisely defined and measurable parameters are met.

The IMD essentially looks at the consistency of rainfall over a defined geography, the intensity of the rainfall, and the wind speed.

Hospital consists of nurse and patient but nurse and patient are of two different nature.

First gene therapy was done in 1990 to a 4 year old girl with a ADA deficiency. ADA enzyme is essential for proper functioning of immune system.

Opium is the dried latex obtained from the opium poppy

Antibodies in our body are present in the blood in form of glycoproteins. They produce antigens in response to foreign particles to provide immunity against the pathogen.

This is a simple subtraction series.
Each number is 35 less than the previous number.
(544 - 35 = 509) (509 - 35 = 474) (474 - 35 = 439) (439 - 35 = 404)...

Daughter of Abhijit's brother → niece of Abhijit. Thus the granddaughter of the woman is Abhijit's niece.

Hence, the woman is the mother of Abhijit.

We can get SI of 3 years = 12005 - 9800 = 2205

SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]

Principal = 9800 - 3675 = 6125 

So Rate = (100*3675)/(6125*5) = 12%

20% of a = b  => (20/100)a = b

b% of 20 =(b/100) x 20 = (20a/100) x (1/100) x (20) = 4a/100 = 4% of a.