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Indian Air Force Agniveer Science Subject Mock Test - 4 - Indian Air Force Agniveer Vayu MCQ


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30 Questions MCQ Test Indian Air Force Agniveer Vayu Group X Mock Test Series 2025 - Indian Air Force Agniveer Science Subject Mock Test - 4

Indian Air Force Agniveer Science Subject Mock Test - 4 for Indian Air Force Agniveer Vayu 2025 is part of Indian Air Force Agniveer Vayu Group X Mock Test Series 2025 preparation. The Indian Air Force Agniveer Science Subject Mock Test - 4 questions and answers have been prepared according to the Indian Air Force Agniveer Vayu exam syllabus.The Indian Air Force Agniveer Science Subject Mock Test - 4 MCQs are made for Indian Air Force Agniveer Vayu 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Indian Air Force Agniveer Science Subject Mock Test - 4 below.
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Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 1

A bus is moving with a speed of 10 ms–1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist ch ase the bus? [2009]

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 1

Let v be the relative velocity of scooter w.r.t bus as v = vS– vB

=   10 + 10 = 20 ms–1

∴ velocity of scooter = 20 ms–1

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 2

A ring has greater moment of inertia than a circular disc of same mass and radius, about an axis passing through its centre of mass perpendicular to its plane, because

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 2

A ring has a larger moment of inertia because its entire mass is concentrated at the rim at maximum distance from the axis.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 3

The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will be

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 3

Gravitational force between two objects is mathematically represented as:
F = G × (m1×m2) / r2
Applying the Law of Gravitation,
Given that the initial force F is due to two objects each of mass m separated by a distance r.
Substituting these into the formula gives:
F = G × (m×m) / r2
The problem then states that the mass of each of the objects is doubled (to 2m) and the distance between them is also doubled (to 2r).
The new force F' using these values in the formula would be: F' = G × (2m×2m) / (2r)2

Simplifying this gives:
F' = 4G × (m×m) / 4×r2
This simplifies further to:
F' = G × (m×m) / r2
Comparing this with the original equation for F, we find that:
F' = F

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 4

In an adiabatic process gas is reduced to quarter of its volume. What would happen to its pressure? Given ratio of specific heats γ= 2

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 4

The adiabatic condition is given by the relation between pressure volume and temperature volume as:

(PV)γ = constant 

where, γ = Cp/Cv is ratio of the specific heats

These relations suggest that an decrease in volume is associated with increase in temperature

⇒ P1(V1)γ = (P2V2

⇒  P1(1)2 = P2(4)2

⇒ P1/P2 = 16

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 5

In a Carnot engine 800 J of heat is absorbed from a source at 400 K and 640 J of heat is rejected to the sink. The temperature of the sink is:

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 6

According to kinetic theory of gases, 0K is that temperature at which for an ideal gas

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 6

According to kinetic theory of gases, 0K is that temperature at which for an ideal gas the internal energy is zero because at 0K nearly all molecular motion stops.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 7

What is the angle between electric field and equipotential surface?

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 7

Electric field is always perpendicular to the equipotential surface at any point.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 8

An AC generator consists of

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 8

Explanation:AC generators  operate on the same fundamental principles of electromagnetic induction.The turning of a coil in a magnetic field produces motional emfs in both sides of the coil.A slip ring  is a method of making an electrical connection through a rotating assembly. Formally, it is an electric transmission device that allows energy flow between two electrical rotating parts, such as in a motor.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 9

The nuclide 92U238 has all the following except​

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 9

The nuclide (nucleus) consists of neutrons and protons (when combined called nucleons).
Thus,
No. of protons in 92U238 = 92,
No. of neutrons = 146 (238 – 92)
No. of nucleons = 238 (146 + 92)

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 10

The mass number of a nucleus is [2003]

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 10

In case of hydrogen atom, Mass number = atomic number

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 11

Let A and B be two sets then (A ∪ B)′ ∪ (A′ ∩ B) is equal to:

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 11

From Venn-Euler's Diagram

∴ (A ∪ B)′ ∪ (A′ ∩ B) = A′

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 12

What is the value of cos 41π/4

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 12

Step-by-step explanation:

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 13

If ab + bc + ca = 0, then find 1/(a2-bc) + 1/(b2 – ca) + 1/(c2- ab)

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 13
  • 1/(a² - bc)   + 1/(b² - ca)   + 1/(c² - ab)
  • ab + bc + ca = 0
  • => bc = -a(b + c)
  • => -bc = a(b+c)
  • a² - bc = a² + a(b + c) = a(a + b + c)
  • Similarly, b² - ca = b(b + a + c) = b(a + b + c)
  • Similarly, c² - ab  = c(a + b + c)
  • 1/a(a + b + c)    + 1/b(a + b + c)   + 1/c(a + b + c)
  • bc/abc(a + b + c)  + ac/abc(a + b + c)  + ab/abc(a + b + c)
  • (bc + ac + ab)/abc(a + b + c)
  • (ab + bc + ac)/abc(a + b + c)
  • as we know, (ab + bc + ac)= 0
  • 0/abc(a + b + c)
  • 0
Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 14

Find the points on z-axis which are at a distance  from the point (1, 2, 3).

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 14

Let the point on Z axis be given as (0,0,z).  The distance between (1,2,3) and (0,0,z) is given as [(1)2 + (2)2 + (3-z)2]½ = (21)1/2
5+(3−z)2=21
z2−6z−7=0
z=7,z = −1
Hence points are (0,0,7),(0,0,−1)

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 15

Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 15

She has 6 friends and he wants to invite one or more. That is the same as saying he wants to invite at least 1 of his friends.
 
So, the number of ways he could do this is:
Invite only one friend
Invite any two friends
Invite any three friends
Invite any four friends
Invite any five friends
Invite all six friends
This can be thought of in terms of combinations. Inviting  r  friends out of  n  is same as choosing  r  friends out of  n . So, we can write the possibilities as:
6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6 
= 6 + 15 + 20 + 15 + 6 + 1 
= 63

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 16

The distance between the lines 5x – 12y + 65 = 0 and 5x – 12y – 39 = 0

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 16

5x − 12y + 65 = 0, 5x − 12y − 39 = 0 
Since, these lines are parallel .
a = 5,  b = -12,  c1 = 65    c2 = -39
So, d = |c1 − c2|/[a2 + b2]1/2
⇒ d = 104/13
= 8

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 17

Determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them.7x + 5y + 6z + 30 = 0 and 3x – y – 10z + 4 = 0

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 17



Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 18

​If , then the value of x is:

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 18

As value of both determinants are equal
∴ (1×1) - (1×1) = 4x - 2
0 = 4x-2.
4x = 2.
x = 2/4 = 1/2

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 19

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 19

Consider the given function.
lim x→0 ((1-x)n −1)/x)
This is 0/0 form.
So, apply L-Hospital rule,
lim x→0 [n(1-x)n-1 −0)]/1
lim x→ 0(-n(1-x)n-1)
=-n

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 20

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 20

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 21

The value of  is:

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 21

I = ∫(1+cos2x)/2 dx
⇒ I = 1/2∫(1+cos2x)dx
⇒ I = 1/2∫1dx + 1/2∫cos2xdx
Using the integral formula ∫coskxdx = sinkx/k + c, we have
∫cos2 xdx = 1/2x + 1/2(sin2x)/2 + c
⇒ [1/2x + 1/4sin2x](-π/4 to π/4)
=> [-π/8 - π/8] + [1/4sin(-π/2) - 1/4sin(π/2)]
= - 2π/8 + [-¼ - ¼]
= -π/4 -½
= -(π/4 +½)

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 22

The area bounded by the curve y2 = x,line y = 4 and y – axis is equal to

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 22
  • The region is bounded by:

    • Left: x=0 (the y-axis)

    • Right: x=y2

    • Bottom: y=0

    • Top: y=4

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 23

Find a particular solution of   = y tanx; y = 1 when x = 0

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 23


Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 24

MORTAL

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 24

immortal is correct as the word mortal means (of a living human being, often in contrast to a divine being) subject to death and the word immortal means living forever; never dying or decaying.. Both the words are opposite of each other.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 25

Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 25

show a mind fully alert to

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 26

Praise for Johnny Starstruck and his entourage are common, although statisticsshow Americans still associate his name with the ritualistic murders.

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 26

There is a simple grammatical question. What thing/things is/are common? Praise is common. Praise is singular, so we say ‘is common’. That leaves us with choice D. It is correct to say that we associate x with y, not to y. ‘To’ often implies movement. As a plural noun ‘statistics’ requires the third person plural verb ‘show’. Choice D is the correct answer.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 27

Direction: In the questions given below a sentence is given with two blanks in each. Corresponding to each question two columns are given with three words in each column. Which combination of words from the two columns will perfectly fit into the blanks to make the sentence contextually correct and meaningful?

IIT-Bombay has been ______________ India’s best university for the second year in a row, ___________ a global ranking of 152 in the QS World University Rankings for 2020. 

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 27

According to the given context we are saying that the IIT Bombay has been chosen as the best institution in India by the QS Rankings and it has got a rank of 152 in the rankings this year.

Now coming to the words given in both the columns, ranked and rated from the first column can be used for the first blank since they are synonyms to each other and they perfectly fit in the first blank also. Coming to the words in the Second Column, both gaining and achieving can also be used interchangeably to fill the second blank. Therefore, A-E and B-D both can be used in order to make the sentence grammatically and contextually correct.

This makes Option B the correct choice among the given options. 

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 28

Directions: Read the passage and answer the questions that follow:

Development is about expanding the capabilities of the disadvantaged, thereby improving their overall quality of life. Based on this understanding, Maharashtra, one of India’s richest States, is a classic case of a lack of development which is seen in its unacceptably high level of malnutrition among children in the tribal belts. While the State’s per capita income has doubled since 2004, its nutritional status has not made commensurate progress.

Poor nutrition security disproportionately affects the poorest segment of the population. According to NFHS 2015-16, every second tribal child suffers from growth restricting malnutrition due to chronic hunger. In 2005, child malnutrition claimed as many as 718 lives in Maharashtra’s Palghar district alone. Even after a decade of double digit economic growth (2004-05 to 2014-15), Palghar’s malnutrition status has barely improved.

In September 2016, the National Human Rights Commission issued notice to the Maharashtra government over reports of 600 children dying due to malnutrition in Palghar. The government responded, promising to properly implement schemes such as Jaccha Baccha and Integrated Child Development Services to check malnutrition. Our independent survey conducted in Vikramgad block of the district last year found that 57%, 21% and 53% of children in this block were stunted, wasted and underweight, respectively; 27% were severely stunted. Our data challenges what Maharashtra’s Women and Child Development Minister said in the Legislative Council in March — that “malnutrition in Palghar had come down in the past few months, owing to various interventions made by the government.”

Stunting is caused by an insufficient intake of macro- and micro-nutrients. It is generally accepted that recovery from growth retardation after two years is only possible if the affected child is put on a diet that is adequate in nutrient requirements. A critical aspect of nutrient adequacy is diet diversity, calculated by different groupings of foods consumed with the reference period ranging from one to 15 days. We calculated a 24-hour dietary diversity score by counting the number of food groups the child received in the last 24 hours. The eight food groups include: cereals, roots and tubers; legumes and nuts; dairy products; flesh foods; eggs; fish; dark green leafy vegetables; and other fruits and vegetables.

In most households it was rice and dal which was cooked most often and eaten thrice a day. These were even served at teatime to the children if they felt hungry. There was no milk, milk product or fruit in their daily diets. Even the adults drank black tea as milk was unaffordable. Only 17% of the children achieved a minimum level of diet diversity — they received four or more of the eight food groups. This low dietary diversity is a proxy indicator for the household’s food security too as the children ate the same food cooked for adult members.

Q. What is ironical about the situation mentioned in paragraph 1?

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 28

The passage gives the example of Maharashtra and states that even though its growth is high and it has a high per capita income, yet its development is low due to prevalence of malnutrition.

Option A is incorrect as this is clearly untrue.

Option C is incorrect  as this may be correct factually but does not represent the irony.

Option D is incorrect  as this cannot be concluded from the information given in the paragraph.

Only option B makes sense. The irony specified above is portrayed well here.

Hence, option B is correct.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 29

Directions: Read the passage and answer the questions that follow:

Development is about expanding the capabilities of the disadvantaged, thereby improving their overall quality of life. Based on this understanding, Maharashtra, one of India’s richest States, is a classic case of a lack of development which is seen in its unacceptably high level of malnutrition among children in the tribal belts. While the State’s per capita income has doubled since 2004, its nutritional status has not made commensurate progress.

Poor nutrition security disproportionately affects the poorest segment of the population. According to NFHS 2015-16, every second tribal child suffers from growth restricting malnutrition due to chronic hunger. In 2005, child malnutrition claimed as many as 718 lives in Maharashtra’s Palghar district alone. Even after a decade of double digit economic growth (2004-05 to 2014-15), Palghar’s malnutrition status has barely improved.

In September 2016, the National Human Rights Commission issued notice to the Maharashtra government over reports of 600 children dying due to malnutrition in Palghar. The government responded, promising to properly implement schemes such as Jaccha Baccha and Integrated Child Development Services to check malnutrition. Our independent survey conducted in Vikramgad block of the district last year found that 57%, 21% and 53% of children in this block were stunted, wasted and underweight, respectively; 27% were severely stunted. Our data challenges what Maharashtra’s Women and Child Development Minister said in the Legislative Council in March — that “malnutrition in Palghar had come down in the past few months, owing to various interventions made by the government.”

Stunting is caused by an insufficient intake of macro- and micro-nutrients. It is generally accepted that recovery from growth retardation after two years is only possible if the affected child is put on a diet that is adequate in nutrient requirements. A critical aspect of nutrient adequacy is diet diversity, calculated by different groupings of foods consumed with the reference period ranging from one to 15 days. We calculated a 24-hour dietary diversity score by counting the number of food groups the child received in the last 24 hours. The eight food groups include: cereals, roots and tubers; legumes and nuts; dairy products; flesh foods; eggs; fish; dark green leafy vegetables; and other fruits and vegetables.

In most households it was rice and dal which was cooked most often and eaten thrice a day. These were even served at teatime to the children if they felt hungry. There was no milk, milk product or fruit in their daily diets. Even the adults drank black tea as milk was unaffordable. Only 17% of the children achieved a minimum level of diet diversity — they received four or more of the eight food groups. This low dietary diversity is a proxy indicator for the household’s food security too as the children ate the same food cooked for adult members.

Q. What could possibly be a/some possible reason/s for such extreme food insecurity among tribal households as has been shown in the passage?
I. Loss of their traditional dependence on forest livelihood.
II. Weak implementation of public nutrition schemes.
III. A worsening agriculture situation.

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 29

All the statements are valid as all give probable reasons for the prevailing condition of food insecurity.

Hence, option D is correct.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 30

Directions: Read the passage and answer the questions that follow:

Development is about expanding the capabilities of the disadvantaged, thereby improving their overall quality of life. Based on this understanding, Maharashtra, one of India’s richest States, is a classic case of a lack of development which is seen in its unacceptably high level of malnutrition among children in the tribal belts. While the State’s per capita income has doubled since 2004, its nutritional status has not made commensurate progress.

Poor nutrition security disproportionately affects the poorest segment of the population. According to NFHS 2015-16, every second tribal child suffers from growth restricting malnutrition due to chronic hunger. In 2005, child malnutrition claimed as many as 718 lives in Maharashtra’s Palghar district alone. Even after a decade of double digit economic growth (2004-05 to 2014-15), Palghar’s malnutrition status has barely improved.

In September 2016, the National Human Rights Commission issued notice to the Maharashtra government over reports of 600 children dying due to malnutrition in Palghar. The government responded, promising to properly implement schemes such as Jaccha Baccha and Integrated Child Development Services to check malnutrition. Our independent survey conducted in Vikramgad block of the district last year found that 57%, 21% and 53% of children in this block were stunted, wasted and underweight, respectively; 27% were severely stunted. Our data challenges what Maharashtra’s Women and Child Development Minister said in the Legislative Council in March — that “malnutrition in Palghar had come down in the past few months, owing to various interventions made by the government.”

Stunting is caused by an insufficient intake of macro- and micro-nutrients. It is generally accepted that recovery from growth retardation after two years is only possible if the affected child is put on a diet that is adequate in nutrient requirements. A critical aspect of nutrient adequacy is diet diversity, calculated by different groupings of foods consumed with the reference period ranging from one to 15 days. We calculated a 24-hour dietary diversity score by counting the number of food groups the child received in the last 24 hours. The eight food groups include: cereals, roots and tubers; legumes and nuts; dairy products; flesh foods; eggs; fish; dark green leafy vegetables; and other fruits and vegetables.

In most households it was rice and dal which was cooked most often and eaten thrice a day. These were even served at teatime to the children if they felt hungry. There was no milk, milk product or fruit in their daily diets. Even the adults drank black tea as milk was unaffordable. Only 17% of the children achieved a minimum level of diet diversity — they received four or more of the eight food groups. This low dietary diversity is a proxy indicator for the household’s food security too as the children ate the same food cooked for adult members.

Q. Which of the following is/are true as per the passage?
I. India’s situation is worse than in some of the world’s poorest countries — Bangladesh, Afghanistan or Mozambique.
II. Development is more than just economic growth.
III. On an average, the nutrition expenditure as a percentage of the Budget has drastically declined from 1.68% in 2012-13 to 0.94% in 2018-19.

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 30

Statements I and III have not been mentioned in the passage and are incorrect.

Statement II is correct as can be seen from the first paragraph of the passage.

Hence, option A is correct.

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