Indian Air Force Agniveer Science & Other than Science Mock Test - 8 - Indian Air Force Agniveer Vayu MCQ

At maximum compression the solid cylinder will stop so loss in K.E. of cylinder = gain in P.E. of spring

Let the side length of square be 'a' then
potential at centre O is

(given)

= – Q – q + 2q + 2Q = 0 = Q + q = 0
= Q = – q

Light refracts as it passes through a material. It's direction changes, but it still passes through. Light travels at a maximum speed -- the speed of light in a vacuum, but when traveling in anything else it slows down. Different materials slow the speed of passing light at different rates. This property of matter is called the refractive index. When refracting, light doesn't change it's frequency, but since it changes it's speed, it must also change it's wavelength (it gets squished or elongated). Frequency, wavelength, and speed are all related, so if one property changes, another must as well.

Nuclear forces are short range attractive forces which balance the repulsive forces between the protons inside the nucleus.

18P4/18C4
⇒ [18!/14!]/[18!/(4!*14!)]
⇒ 4!
⇒ 24

- lim x-->k+ = x-{x}
Lim x→k+   k-{k}
                  = 0           

In the question, it should be f’(2) instead of f”(2) 
Explanation:- f(x) = ∫(0 to x) log(1+x²)
f’(x) = 2xdx/(1+x²)
f’(2) = 2(2)/(1+(2)²)
= 4/5

The equation y = 2x − x² i.e. y – 1 = - (x - 1)² represents a downward parabola with vertex at (1, 1) which meets x – axis where y = 0 .i .e . where x = 0 , 2. Also , the line y = - x meets this parabola where – x = 2x − x² i.e. where x = 0 , 3. 
Therefore , required area is :

• Reckless or rash means "acting or done without considering the possible results".
• Courageous: not deterred by danger or pain; brave.
• Bold: (of a person, action, or idea) showing a willingness to take risks; confident and courageous.
• Daring: causing outrage or surprise by being boldly unconventional.

Hence Correct Answer is Option B

The sentence "Sixty miles are a good distance" is incorrect. It should be "Sixty miles is a good distance" because "sixty miles" is considered a singular quantity. Therefore, the error is in part 2.

So, the correct choice is:

2.   Are.

Garbage: rubbish or waste, especially domestic refuse
Loiter: stand or wait around without apparent purpose
Litter: make (a place or area) untidy with rubbish or a large number of objects left lying about
The blank demands a verb. “Garbage” is a noun. Hence, it gets eliminated.
“Loiter” makes no sense in the given context. So, it also gets eliminated.
Only ‘litter’ makes perfect sense in the blank both grammatically and contextually. It is also a verb.
Hence, option C is the correct answer.

This sentence is in the active voice, with the subject "someone" performing the action of making the necessary arrangements. To convert it to the passive voice, the object of the verb (the necessary arrangements) becomes the subject of the sentence, and the verb is changed to its past participle form (been made). The preposition "by" is added to indicate who performed the action.

Option (c) correctly expresses the sentence in the passive voice. Option (a) and (b) are incorrect because they use incorrect word order, and option (d) is in the active voice, with the subject "one" performing the action.

By timeline, 8500 BC was before 5000 BC. So sentence C is likely to feature after sentence D in the paragraph.

Sentence D talks of cultivation of plants and domestication of animals that began in the Near East around 8500 BC. Sentence A carries this idea forward, explaining how fixed settlements and small towns came into being after people turned to farming.

Sentence B starts off with “their labors"?. Who does “their"? refer to? Sentence C, which talks of farmers who moved down to the river valleys of Mesopotamia and their efforts to build dykes and ditches, has the answer. So B follows C.

DACB makes a cogent paragraph.

The question is " Arrange the sentences in the correct order "
The order is DACB

Hence, the answer is DACB
Choice A is the correct answer.

Refer to: 
… These techniques are useful in management of land, soil, coastal, watershed, urban and many more. 
The whole passage mentions the uses of remote sensing and GIS in various areas for planning and effective management and this can be inferred from the highlighted part above.
Evidently, option A suits best as the title of the passage and therefore is the correct answer.

An apprentice is a person who is learning a trade or skill under the guidance and instruction of a skilled professional in that field. They work alongside the experienced professional to gain practical experience and develop their skills. The apprentice is typically paid a lower wage or stipend while they are learning the trade.

LCM (6, 8, 15, 30) – 4 = 120 – 4 = 116

Because the sex of O is not known.

Sound is perceived by our brain for a brief period after it occurs. This phenomenon is known as the auditory memory. The sensation of sound lasts for approximately 0.1 seconds.

This means that after a sound is made, our brain retains the sensation of that sound for a short time, allowing us to process it even after the sound has stopped.

The Milinda Panha (Questions of Milinda) is a Buddhist text which dates from approximately 100 BC. It purports to record a dialogue in which the Indo-Greek king Menander I of Bactria, who reigned in the 2nd century BC, poses questions on Buddhism to thesage Nagasena.

The purpose of the Maritime Partnership Exercise (MPX) conducted by India and France in the Bay of Bengal was to enhance maritime security cooperation between the two nations. The exercise involved various activities such as tactical maneuvers, replenishment at sea, air defense, and cross-deck helicopter operations, which aimed to strengthen the partnership and interoperability between the Indian and French navies.

To solve the coding pattern, let's analyze the given codes for DEER and HIGH:

• DEER = 12215
• HIGH = 5654

We'll try to understand the pattern by matching each letter with its corresponding number.

For DEER:

• D -> 1
• E -> 2
• E -> 2
• R -> 5

For HIGH:

• H -> 5
• I -> 6
• G -> 5
• H -> 4

Let's try to find the pattern or rule:

1. D, E, R in DEER:

   • D = 1
   • E = 2
   • R = 5

2. H, I, G, H in HIGH:

   • H = 5 (H = 5 for HIGH, but H = 5 and 4 in DEER and HIGH respectively)
   • I = 6
   • G = 5
   • H = 4

Now, let's find the code for HEEL:

• H -> 5 (from HIGH)
• E -> 2 (from DEER)
• E -> 2 (from DEER)
• L -> We need to determine L's code

Since L hasn't appeared yet, we need to figure out its code. Based on patterns, if the trend is alphabetical positioning, L could potentially be coded uniquely. Let's explore the pattern in numbers:

• H = 5
• E = 2
• E = 2
• L = ?

Considering possible consistency in coding and based on given options, the most logical way might use the remaining structure within the problem’s predefined context for HEEL = 5229.

So, the most likely answer should be:

4. 5229