Question for Jharkhand Eligibility Test (JET) Physical Sciences (Physics) 2026 - Quiz / Questions / MCQ

Objective Questions

Latest Jharkhand Eligibility Test Physical Sciences Exam Question (Objective Questions), MCQ in English

Subjects : research aptitude, Domain knowledge

Question Bank Jharkhand Eligibility Test Physical Sciences Exam - English

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research aptitude

Question 1Single Answer

Which is the main objective of research?

ATo review the literature
BTo summarize what is already known
CTo get an academic degree
DTo discover new facts or to make fresh interpretation of known facts

Question 2Single Answer

Sampling error decreases with the

Adecrease in sample size
Bincrease in sample size
Cprocess of randomization
Dprocess of analysis

Question 3Single Answer

The principles of fundamental research are used in

Aaction research
Bapplied research
Cphilosophical research
Dhistorical research

Question 4Single Answer

Users who use media for their own ends are indentified as

APassive audience
BActive audience
CPositive audience
DNegative audience

Question 5Single Answer

Classroom communication can be described as

AExploration
BInstitutionalisation
CUnsignified narration
DDiscourse

Question 6Single Answer

Ideological codes shape our collective

AProductions
BPerceptions
CConsumptions
DCreations

Question 7Single Answer

In communication, myths have power, but are

AUncultural.
BInsignificant.
Cimprecise.
DUnpreferred.

Question 8Single Answer

The first multi-lingual news agency of India was

ASamachar
BAPI
CHindustan Samachar
DSamachar Bharati

Question 9Single Answer

Organisational communication can also be equated with

Aintra-personal communication
Binter-personal communication
Cgroup communication
Dmass communication

Question 10Single Answer

If two propositions having the same subject and predicate terms are such that one is the denial of the other, the relationship between them is called

AContradictory
BContrary
CSub-contrary
DSub-alternation

Question 11Single Answer

Identify the fallacy in the following argument: "Alan is tall, dark and handsome and has blue eyes. Bill is also tall, dark and handsome".

AInconsistency
BWeak analogy
CSlippery slope
DHasty generalisation

Question 12Single Answer

According to Jaina philosophy, which among the following is not a form of indirect knowledge.

ASmrti
BPratyabhijna
CTarka
DNaya

Question 13Single Answer

Suppose a man swims 12 km upstream and 20 km down stream in a river in 4 hours. If he swims 18 km upstream and 10 km downstream also in 4 hours, then the speed at which he swims in the still water is.

A4 km/h
B6 km/h
C8 km/h
D10 km/h

Question 14Single Answer

When was the National e-Governance Plan (NeGP) started in India?

A2008
B1991
C2006
D2014

Question 15Single Answer

Match the LIST I with LIST II
LIST I LIST II
(Type of Sampling) (Meaning)
A Stratified Sampling I. Select every ith item on a list
B Probability Sampling II. Population is divided into several sub-populations that are individually more homogeneous
C Systematic Sampling III. Every item of the universe has an equal chance of inclusion in the sample
D Non-probability Sampling IV. Procedure which does not afford any basis for estimating the probability that each item in the population has chance of being included in the sample
Choose the correct answer from the options given below:

AA-I, B-III, C-II, D-IV
BA-I, B-II, C-III, D-IV
CA-II, B-III, C-I, D-IV
DA-III, B-II, C-I, D-IV

Question 16Single Answer

Acronym 'HTTPS' stands for

AHypertext Transfer Protocol Secure
BHyper Terminal Telephonic Pairty Self
CHyper Terminal Telephonic Pairty Secure
DHyper Terminal Telephonic Pairty Service

Question 17Single Answer

In the context of communication the acronym 'SITE' is___________.

ASatellite Instructional Television Education
BScience Instructional Television Education
CScience Instructional Television Experiment
DSatellite Instructional Television Experiment

Question 18Single Answer

Identify the most favourable conditions for the dispersion and dilution of air pollutants in the atmosphere.

ACold winter nights
BSunny winter evenings
CHot sunny summer afternoons
DEarly mornings during summer

Question 19Single Answer

Consider the following argument and pick the correct answer:
"All four legged creatures have wings
All spiders have exactly four legs
Therefore, All spiders have wings"

AValid argument: true premises, true conclusion
BValid argument; false premises, false conclusion
CInvalid argument; true premises; true conclusion
DInvalid argument; true premises; false conclusion

Question 20Single Answer

In the context of computer networking, the acronym 'MVNO' stands for.

AMobile Virtual Network Operator
BMultimedia Virtual Network Operation
CMultimedia Voice Noise Operation
DMultimedia Voice Noise Operator

Question 21Single Answer

Identify the number that occurs in the series 2, 10, 30, 68, 130, ....
(A)738
(B) 349
(C) 520
(D) 222
Choose the correct answer from the options given below:

AA, B and C only
BB, C and D only
CA, C and D only
DA, B and D only

Question 22Single Answer

Arrange the following gases in the ascending order of their global warning potential (GWD):
(A) CO₂
(B) CH
(C) SF
(D) CFC-11
(E) N₂O
Choose the correct answer from the options given below:

A(A), (B), (C), (E), (D)
B(A), (B), (E), (D), (C)
C(B), (C), (A), (E), (D)
D(A), (E), (B), (D), (C)

Question 23Single Answer

Who sends what to whom in a communication process?
(A) Channel sends the message to sender
(B) Sender sends messages to receiver
(C) Sender sends the feedback to receiver
(D) Receiver sends messages to sender
Choose the correct answer from the options given below:

AA only
BA and D only
CB only
DB and C only

Question 24Single Answer

Arrange the data sets with the following pairs of mean (x) and standard direction (σ) in the increasing order of their coefficient of variation.
(A) = 50,σ = 12
(B) 55,o = 10
(C) = 60,σ = 14
(D) = 70,σ = 15
Choose the correct answer from the options given below:

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

Question 25Single Answer

Which among the following are global scale phenomenon?
(A) Ozone layer depletion
(B) Global warning
(C) Forest fire
(D) Sea level rise
(E) Air pullution
Choose the correct answer from the options given below:

AA, C and D only
BA, B, C and D only
CB, C and E only
DA, B and D only

Question 26Single Answer

Match List I with List II:
LIST I (Learning style) LIST II (Characteristics)
A. Converger I. They are best at concrete experience and reflective observation. Their strength is their imaginative ability They tend to be interested in people and emotional elements.
B. Diverger II. They are good conceptualisation and active experiment like solving problems; practical application of ideas.
C. Assimilator III. They enjoy and seek new experience and adopt to new situations; and are intuitive, risk-takers open minded.
D. Accommodator IV. Ability to create theoretical models; possess sound logic, inductive reasoning, analytic less interested in people.
Choose the correct answer from the options given below:

AA-IV, B-III, C-II, D-1
BA-III, B-II, C-I, D-IV
CA-II, B-I, C-IV, D-III
DA-I, B-II, C-III, D-IV

Question 27Single Answer

Match List I with List II.
LIST I (Type of Variable)             LIST II (Example)
A. Nominal                                       I. Distance
B. Ordinal                                        II. Marital status
C. Interval                                        III. Movie ratings
D. Ratio                                            IV. Location of places in latitude degrees
Choose the correct answer from the options given below:

AA-III, B-II, C-I, D-IV
BA-II, B-III, C-I, D-IV
CA-III, B-IV, C-II, D-I
DA-II, B-III, C-IV, D-I

Question 28Single Answer

Match List I with List II.
LIST I (Internal Meetings)                       LIST II (Key Objectives)
A. Kyoto protocol                                     I. Global warming
B. Montreal protocol                                II. Biodiversity conservation
C. Rio summit                                          III. Ozone depletion
D. Paris agreement                                    IV. Solar Alliance
Choose the correct answer from the options given below:

AA-I, B-III, C-II, D-IV
BA-II, B-III, C- II, D-IV
CA-III, B-I, C-IV, D-II
DA-II, B-II, C-IV, D-III

Question 29Single Answer

Match List I with List II.
LISTI (Communication Terms)                              LIST II (Description)
A. Effective verbal communication                I. Knowledge and skills
B. Effective communication                           II. Insufficient knowledge
C. Effective non-verbal communication        III. Effective speaking
D. Barrier of communication                         IV. Body language
Choose the correct answer from the options given below:

AA-I, B-II, C-IV, D-III
BA-II, B-III, C-I, D-IV
CA-II, B-I, C-III, D-IV
DA-III, B-I, C-IV, D-II

Question 30Single Answer

According to UGC Regulations 2018 on plagiarism, a student's registration in the Ph.D. program will be cancelled for which of the following similarities percentage in the thesis?
(A) 37%
(B) 46%
(C) 58%
(D) 62%
(E) 78%
Choose the correct answer from the options given below:

AA, B, C, D only
BB, C, D, E only
CC, D and E only
DD and E only

Question 31Single Answer

Which of the following Indian universities were modelled on the lines of University of London?
(A) Calcutta
(B) Bombay
(C) Madras
(D) Andhra
(E) Mysore
Choose the correct answer from the options given below:

AA, B & C only
BB, C & D only
CC, D & E only
DA, B & D only

Question 32Single Answer

Identify the correct order of the term A-E to complete the following paragraph about computer devices and technology. An ________ allows a user to write on a surface using a pen, and the text and drawings can then be captured and stored for later use. An ________ printer produces a hard copy of a document using and piezoelectric technology. A printer uses a drum, and positive and negative charges, to produce a _____ hard copy of a document.
(A) inkjet
(B) interactive whiteboard
(C) laser
(D) rotating
(E) thermal bubble
Choose the correct answer from the options given below:

AB, E, A, D, C
BB, A, E, C, D
CA, B, E, C, D
DE, D, C, B, A

Question 33Single Answer

Given below are two statements:
Statement I: Kyoto protocol only binds developed countries and places heavier burden on them
Statement II: Kyoto protocol has nothing to do with United Nations Framework Convention on climate change (UNFCCC)
In light of the above statements, choose the most appropriate answer from the options given below:

ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true

Question 34Single Answer

Consider the following letter series AA, BD, CI, DP,?, ...
The next term (?) in the series is

Question 35Single Answer

Given below are two statements:
Statement I: The rating system of higher educational institutions followed in India does not touch the structural diversity of such institutions
Statement II: A universal and holistic rating system is not feasible in India
In light of the above statements, choose the most appropriate answer from the options given below:

ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true

Question 36Single Answer

Given below are two statements, one is labelled as Assertion (A) and other one labelled as Reason (R)
Assertion (A): As per classical Indian logic the argument - 'Sound is quality because it is visible' is fallacious
Reason (R): As per the classical Indian view of logic, the argument - 'Sound is quality because it is visible' involves a middle term that cannot, by its very nature, be present in the minor term
In the light of the above statements, choose the correct answer from the options given below:

ABoth (A) are true and (R) is the correct explanation of (A)
BBoth (A) and (R) are true but (R) is NOT the correct explanation of (A)
C(A) is true but (R) is false
D(A) is false but (R) is true

Question 37Single Answer

Match List I with List II.
LISTI (Internet Term) LIST II (Definition)
A. HTTP I. A unique address given to a device on a network. It is provided by the manufacturer.
B. URL II. The main protocol that governs the transmissions of data using the Internet.
C. MAC address III. An address given to each device on a network. It is provided by the network.
D. IP address IV. The website address that is typed into the address bar.
Choose the correct answer from the options given below:

AA-II, B-IV, C-I, D-III
BA-III, B-IV, C-I, D-II
CA-I, B-III, C-II, D-IV
DA-IV, B-II, C-I, D-III

Question 38Single Answer

A teacher wants to assess the student's performance and wants to give immediate feedback. Which software you will select for the assessment?
(A) Kahoot
(B) Plotagon
(C) Screen-casto-matic
(D) Animaker
(E) Quizziz
Choose the correct answer from the options given below:

AA, B & D only
BC, D & E only
CB & C only
DA & E only

Question 39Single Answer

Which of the following statements are logically equivalent?
(A) Some apes are not non-monkeys
(B) Some monkeys are not non-apes
(C) Some monkeys are apes
(D) Some apes are monkeys
Choose the correct answer from the options given below:

AA & B only
BC & D only
CB, C & D only
DA, B, C, & D

Question 40Single Answer

Which of the following propositions are so related that they cannot both be false although they may both be true, as per square of opposition?
(A) Some apes are monkeys.
(B) All apes are monkeys.
(C) Some apes are not monkeys.
(D) No apes are monkeys.
Choose the correct answer from the options given below:

AB & D only
BA & B only
CA & C only
DC & D only

Question 41Single Answer

Given below are two statements:
Statement I: Internet is commonly used service on the World Wide Web
Statement II: HTTP is the protocol that web browsers and web servers use to communicate with each other over the Internet
In the light of the above statements, choose the correct answer from the options given below:

ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true

Question 42Single Answer

Negative communicators usually express
(A) Verbal softness
(B) Optimism
(C) Pessimism
(D) Resentment
(E) Distrust
Choose the correct answer from the options given below:

AA, B & C only
BB, C & D only
CC, D & E only
DA, B & E only

Question 43Single Answer

method of Identify the correct order of the term A-E given below that completes the paragraph describing a operation for a keyboard.
A computer keyboard has a key matrix underneath the keys when a key is pressed, it presses a switchthat completes a ___________. This allows __________ to follow. The location of the key pressed is ______. The location of the key pressed is compared to a ________ map to find the _________ value for the key that has been pressed.
(A) Binary
(B) Calculated
(C) Character
(D) Circuit
(E) Current
Choose the correct answer from the options given below:

AE, D, B, C & A
BD, E, B, C & A
CC, D, B, E & A
DA, E, B, C & D

Question 44Single Answer

A researcher obtains the following p-values for sample correlation coefficients of different samples. Which of these can be considered significant at 1% level of significance?
(A) 0.004
(B) 0.99
(C) 0.995
(D) 0.001
(E) 0.1
Choose the correct answer from the options given below:

AB & C only
BB, D & E only
CA, & D only
DB, C & E only

Question 45Single Answer

Which among the following would be the ethical issues in a research study that involves participation of human subjects?
(A) Lack of informed consent
(B) Physical and psychological harm
(C) Excessive inducements
(D) Debriefing
Choose the correct answer from the options given below:

AA, B & C only
BB, C & D only
CA, C & D only
DA, B, C & D

Question 46Single Answer

Given below are two statements:
Statement I: A learner's cultural background has no impact on his/her learning experience
Statement II: Gender is not a strong predictor of academic achievement
In the light of the above statements, choose the correct answer from the options given below:

ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true

Question 47Single Answer

Which of the following are not the characteristic of teacher-centered methods of teaching?
(A) Students are passive learners
(B) Teachers act as facilitator for learning
(C) Teacher directs learning activities
(D) Learning is based on collaboration between students
(E) Learning is based on student interest
Choose the correct answer from the options given below:

AA, C & D only
BB & E only
CB, D & E only
DA & C only

Question 48Single Answer

Given below are two statements:
Statement I: University of Punjab at Lahore and University of Allahabad were established during colonial rule in India
Statement II: The main reason of their establishment was the increasing demand in these places for higher education including 'Oriental' as well as modern European education
In the light of the above statements, choose the most appropriate answer from the options given below:

ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true

Question 49Single Answer

In the light of Causation which of the following is incorrect?
(A) Qualities of cause are accidental antecedents not the cause
(B) The cause of the cause is
(C) The co-effects of a cause are themselves causally related
(D) Eternal substance like space are not unconditional antecedents
Choose the correct answer from the options given below:

AA & D only
BB & C only
CC only
DB & D only

Question 50Single Answer

Match List I with List II
                        LIST I                                                        LIST II
(Three Approaches of Education)                 (Disciplinary Aspects)
A. Teacher-centred                                          I. Shared, Participatory
B. Learner-centred                                          II. Imposed
C. Learning-centred                                        III. Self-controlled
Choose the most appropriate answer from the options given below:

AA-III, B-II, C-I
BA-I, B-II, C-III
CA-II, B-I, C-III
DA-II, B-III, C-I

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Domain knowledge

Question 51Single Answer

"My friend Raju has more than 1000 books". said Ram. "Oh no, he has less than 1000 book said Shyam. "Well. Raju certainly has at least one book", said Geeta. If only one of these statements is true. how many books does Raju have ?

A1
B999
C1000
D1001

Question 52Single Answer

Of the following, which is the odd one out ?

ACone
BTorus
CSphere
DEllipsoid

Question 53Single Answer

An infinite number of identical circular discs each of radius

are tightly packed such that the centres of the discs are at integer values of coordinates x and y. The ratio of the area of the uncovered patches to the total area is —

A
B
C1 -
D

Question 54Single Answer

It takes 5 days for a steamboat to travel from A to B along a river. It takes 7 days to return from B to A, How many days will it take for a raft to drift from A to B (all speeds stay constant) ?

Question 55Single Answer

N is a four digit number. If the leftmost digit is removed, the resulting three digit number is 1/9th Of N. How many such N are possible ?

Question 56Single Answer

The maximum number of points formed by intersection of all pairs of diagonals of convex octagon is

A70
B400
C120
D190

Question 57Single Answer

A man starts his journey at 0100 Hrs. local time to reach another country at 0900 Hrs local time on the same date. He starts a return journey on the same night at 2100 Hrs. local time to his original place, taking the same time to travel back. If the time zone of his country of visit lags by 10 hours, the duration for which the man was away from his place is

A48 hours
B20 hours
C25 hours
D36 hours

Question 58Single Answer

A student appearing for an exam is declared to have failed the exam if his/her score is less than half the median score. This implies—

A1/4 of the students appearing for the exam always fail
Bif a student scores less than 1/4 of the maximum score, he/she always fails
Cif a student scores more than 1/2 of the maximum score, he/she always passes
Dit is possible that no one fails

Question 59Single Answer

Which one if the following has the highest value of specific heat ?

AAlcohol
BMethane
CKerosene
DWater

Question 60Single Answer

Which one of the following statements is logically incorrect ?

AI always speak the truth
BI occasionally lie
CI occasionally speak the truth
DI always lie

Question 61Single Answer

Which method is used to produce electricity in thermal power plans ?

ABy heating chargeable cells
BBy boiling water
CBy pushing pistons by heat energy
DAny of these
ENot Attempted

Question 62Single Answer

AB and CD are two chords of a circle subtending 60° and 120° respectively at the same point on the circumference of the circle. Then AB : CD is—

A
B
C1 : 1
D

Question 63Single Answer

Which of the following best approximates sin (0.5°) ?

A0.5
B0.5 x
C0.5 x
D0.5 x

Question 64Single Answer

The set of numbers (5, 6, 7, m, 6, 7, 8, n) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then m n =

Question 65Single Answer

Fill in the blank : F2, ..., D8, C16, B32, A64.

AC4
BE4
CC2
DG16

Question 66Single Answer

How many times starting at 1:00 pm would the minute and hour hands of a clock make an angle of 40° with each other in the next 6 hours ?

Question 67Single Answer

A solid contains a spherical cavity. The cavity is filled with a liquid and includes a spherical bubble of gas. The radii of cavity and gas bubble are 2 mm and I mm, respectively. What proportion of the cavity is filled with liquid ?

A 1
8
B3
8
C5
8
D7
8

Question 68Single Answer

The diagram shows a block of marble having the shape of a triangular prism. What is the maximum number of slabs of 10

5 cm³ size that can be cut parallel to the face on which the block is resting ?

A50
B100
C125
D250

Question 69Single Answer

Brothers Santa and Chris walk to school from their house. The former takes 40 minutes while the latter, 30 minutes. One day Santa started 5 minutes earlier than Chris. In how many minutes would Chris overtake Santa ?

Question 70Single Answer

What would be the displacement of a particle moving in a circular path of radius r after a displacement of half a circle ?

A2πr
Bπr
C2r
DZero

Question 71Single Answer

Four equal charges of +Q each are kept at the vertices of a square of side R. A particle of mass m and charge +Q is placed in the plane of the square at a short distance a (<< R) from the centre. If the motion of the particle is confined to the plane, it will undergo small oscillations with an angular

Question 72Single Answer

A ball of mass m, initially at rest. is dropped from a height of 5 meters- If the coefficient of restitution is 0.9, the speed of the ball just before it hits the floor the second time is approximately (take g 9.8 m/s2)—

A9.80 m/s
B9.10 m/s
C8.91 m/s
D 7.02 m/s

Question 73Single Answer

Let X and Y be two independent random variables, each of which follow a normal distribution with the same standard deviation. but with means + μ and — μ, respectively. Then the sum X + Y follows a—

Adistribution with two peaks at + μ and mean 0 and standard deviation σ
Bnormal distribution with mean 0 and standard deviation 2 σ
Cdistribution with two peaks at + μ and mean 0 and standard deviation 2 σ
Dnormal distribution with mean 0 and standard deviation σ

Question 74Single Answer

Using dimensional analysis, Planck defined a characteristic temperature T_p from powers of the gravitational constant G, Planck's constant h, Boltzmann constant k_B and the speed of light c in vacuum. The expression for T_p is proportional to—

Question 75Single Answer

A live music broadcast consists of a radiowave of frequency 7 MHz, amplitude-modulated by a microphone output consisting of signals with a maximum frequency of 10 kHz. The spectrum of modulated output will be zero outside the frequency band

A7.00 MHz to 7.01 MHz
B6.99 MHz to 7.01 MHz
C6.99 MHz to 7.00 MHz
D6.995 MHz to 7.005 MHz

Question 76Single Answer

The Gauss hypergeometric function F(a, b, c; z), defined by the Taylor series expansion around z = 0 as F(a, b, c; z) =

Question 77Single Answer

The Hamiltonian of a system with generalized coordinate and momentum (q, p) is H = p²q². A solution of the Hamiltonian equation of motion is (in the following A and B are constants) —

Question 78Single Answer

The state of a particle of mass m in a one- dimensional rigid box in the interval 0 to L is given by the normalized wavefunction

If its energy is measured, the possible outcomes and the average value of energy are, respectively —

Question 79Single Answer

A magnetic field B is Bž in the region and x > 0 elsewhere. A rectangular loop. in the x-y-plane, of sides l (along the x direction) and h (along the y direction) is inserted into the x < 0 region from the 0 region at a constant velocity v =

Which of the following values of and will generate the largest EMF ?

Al = 8, h = 3
Bl = 4, h = 6
Cl = 6, h = 4
Dl = 12, h = 2

Question 80Single Answer

The x- and z- components of a static magnetic field in a region are B_x = B₀ (x² - y²) and B_z = 0, respectively. Which of the following solutions for its y-component is consistent with the Maxwell equations ?

AB_y = B₀xy
BB_y = - 2B₀xy
CB_y = - B₀ (x² – y²)
DB_y = B₀

Question 81Single Answer

An infinite number of identical circular discs each of radius

are tightly packed such that the centers of the discs are at integer values of coordinates x and y . The ratio of the area of the uncovered patches to the total area is .

Question 82Single Answer

It takes 5 days for a steamboat to travel from A to B along a river. It takes 7 days to return from B to A. How many days will it take for a raft to drift from A to B (all speeds stay constant ) ?

Question 83Single Answer

“ My friend Raju has more than 1000 books “, said Ram . “ Oh no , he has less than 1000 books”, said Shyam .’’ Well , Raju certainly has at least one books “, said Geeta . If only one of these statements is true , how many books does Raju have ?

A1
B1000
C999
D1001

Question 84Single Answer

Of the following , Which is the odd one out ?

ACone
BTours
CSphere
Dboth 1&2

Question 85Single Answer

A student appearing for an exam is declared 1oto have failed the exam if his /her score.This implies

A ¼ of the students appearing for the exam always fail
Bif a student scores less than ¼ of the maximum score, he/ she always fails
Cif a students scores more than ½ of the maximum score, he/she always Passes
DIt is possible that no one fails

Question 86Single Answer

Find the next figure ‘D'

Question 87Single Answer

N is a four digit number . If the leftmost digit is removed , the resulting three digit number is 1/9 ^th of N. How many such N are possible ?

Question 88Single Answer

AB and CD are two chords of a circle subtending 60^o and 120^o respectively at the same point on the circumference of the circle . Then AB:CD

A
B
C1:1
D

Question 89Single Answer

Which of the following inferences can be drawn from the above graph?

AThe total number of students qualifying in physics in 2015 and 2014 is the same
BThe number of students qualifying in Biology in 2015 is less than that in 2013
C The number of Chemistry students qualifying in 2015 must be more than the number of students who qualified in Biology in 2014
DThe number of students qualifying in physics in 2015 is equal to the number of students in Biology that qualified in 2014

Question 90Single Answer

What is the minimum number of moves required to transform figure 1 to figure 2 ? A move is defiend as removing a coin and placing it such that it touches two other coins in its new position

Question 91Single Answer

The relatiopnship among the numbers in each corner squre is the same as that in the other corner squres . Find the missing

Question 92Single Answer

Which of the following best approximates sin (0.5^o )?

A0.5
B
C
D

Question 93Single Answer

What comes next in the sequence ?

Question 94Single Answer

Which of the following statements is logically incorrect

AI always speak the truth
BI occasionally lie
CI occasionally speak the truth
DI always lie

Question 95Single Answer

How many times strating at 1:00 pm would the minute and hour hands of clock make an angle of 40^o with each other in the next 6 hour ?

Question 96Single Answer

Brothers Santa and Chris walk to school from their house .The former takes 40 minutes While the latter , 30 minutes. One day Santa Started 5 minutes earlier than Chris. In how many minutes would Chirs overtake Santa ?

Question 97Single Answer

The set of numbers (5,6,7,m,6,7,8,n) has an arthimetic mean of 6 and mode (most frequency occuring number ) of 7. Then = mX n =

Question 98Single Answer

The diagram shows a block of marble having the shape of a triangular prism. What is the maximum number slabs of 10X10X5 cm³ Size that can be cut parallel to the face on which the block is resting ?

A50
B100
C125
D250

Question 99Single Answer

A soild contains a spherical cavity is filled with a liqued and includes a spherical bubble of gas . The radii of cavity and gas bubble are 2 mm and 1 mm , respetively . What proportion of the cavity is filled with liquid ?

Question 100Single Answer

Fill in the blank : F2 , _______, D8, C16, B32 , A64.

AC4
BE4
CC2
DG16

Question 101Single Answer

The radaius of convergence of the Taylor series expansion of the function

around x=0, is

Question 102Single Answer

The Value of the contour integral

around the unit circle traversed in the anti-clockwise direction , is

Question 103Single Answer

The Gauss hypergeometric function F(a,b,c ;z) , defined by the Taylor series expension around z = 0 as F(a,b,c ;z=

satisfies the recusion relation

Question 104Single Answer

Let X and Y be two independent random variables, each of Which follow a normal distribution with the same standard deviation σ , but with means +μ and –μ , respectively Then the sum X + Y follows a

Adistribution with two peaks at and mean 0 and standard deciation
Bnormal distribution with mean 0 and standard 2σ
Cdistribution with two peaks at and mean 0 and standard deviation 2 σ
Dnormal distribution with mean 0 and standard deviation

Question 105Single Answer

Using dimensional analysis , planks defined a characteristic temperature T_p from powers of the gravitational constant G, Planck’s constant h, Boltzmann constant K_B and the speed of light c in vacuum.The expression for T_P is proportional to

Question 106Single Answer

Let (x,t) and (x’,t’) be the coordinate systems used by the observers O and O’ , respectively . Observer O’ moves with a celocity v = βc along their common positive x-axis. If x₊ = x+ct and x_-=x-ct are the linear combinations of the coordinates , the Lorentz transformation relating O and O’ taks the form

Question 107Single Answer

A ball of mass m, initially at rest , is dropped from a height of 5 meters . if the coefficient of restitution is 0.9 , the speed of the ball just before it hits the floor the second time is approximately (take g = 9.8 m/s²)

A9.80 m/s
B9.10 m/s
C8.91 m/s
D7.02 m/s

Question 108Single Answer

Four equal charges of +Q each are kept at the vertices of a square of side R. A particle of mass m and charge +Q is placed in the plane of the square. at a short distance a(<

Question 109Single Answer

Hemilationian of a system with generalized coordinate and momenutum (q,p) is H=p²q² A solution of the Hamiltonian equation of motion is (in the following A and B are constants

Question 110Single Answer

Two Parallel plate capacitors ,seprated by distance x and 1.1x respectively , have a diectric material of dielectric constant 3.0 inserted between the plates , and are connected to a baterry of voltage V .The difference in charge on the second capacitor compared to the first is

A+66%
B+20%
C-3.3%
D-10%

Question 111Single Answer

The half space regions x>0 and x<0 are filled with dielectric media of dielectric constants

and

respectively . There is a uniform electric field in each part .In the right half , the electric field makes an angle

to the interface . The corresponding angle

in the left half satisfies

Question 112Single Answer

The x- and Z- components of a static magnetic field in a region are B_x=B₀(x²-y²) and B_z=0, respectively .Which of the following solutions for its y-component is consistent with the Maxwell equations ?

AB_y=B₀xy
BB_y= -2B₀xy
CB_y=B₀(x²-y²)
D

Question 113Single Answer

A Magnetic field B is B

in the region x>0 and Zero elsewhere . A Where . A rectangular loop , in the xy-Plane , of sides L(along the x- directions ) and h (along the y- direction ) is inserted into the x>0 region from the rigion x<0 at a constant velocity v=v

. Which of the following values of l and h will generate the largest EMF?

Al=8, h=3
Bl=4, h=6
Cl=6, h=4
Dl=12, h=2

Question 114Single Answer

The state of a particle of mass m in a one – dimensional rigid box in the interval 0 to L is given by the normalized wavefunction

If its energy is mesured the posible outcomes and the average vlaue of energy are respectively.

Question 115Single Answer

and

are the components of the angular momentum operator in three dimensions , the commutor [

] may be simplified to

Question 116Single Answer

Suppose that the coulomb potential of the hydrogen atom is changed by adding an inverse-square term such that the total potential is

, Where g is a constant . The energy eigenvalues E_nlm in the modified Potential

Adepend on n and l , but not on m
Bdepend on n but not on l and m
Cdepend on n and m , but not on l
Ddepend explicitly on all three quantum numbers n,l and m

Question 117Single Answer

Question 118Single Answer

The specific heat per molecule of gas of diatomic molecules at high temperatures is

A8 k_B
B3.5 k_B
C4.5 k_B
D3 k_B

Question 119Single Answer

When an ideal monatomic gas is expended adiabatically from an initial volume V₀ to 3 V_o its temperature changes from T₀ to T. Then the ratio T/T₀ is

Question 120Single Answer

A box of Volume V containing N molecules of an ideal gas , is divided by a wall with a hole into two compartments . If the volume of the smaller compartment is V/3 , the varience of the number of particles in it , is

AN/3
B2N/9
C
D

Question 121Single Answer

An inverted cone is filled with water at a constant rate. The volume of water inside the cone as a function of time is represented by the curve :

â€‹

Question 122Single Answer

A spacecraft flies at a constant height R above a planet of radius R. At the instant the spacecraft is over the north pole, the lowest latitude visible from the spacecraft is :

A0° (equator)
B30° N
C45° N
D45° N
E60° N

Question 123Single Answer

An experiment consists of tossing a coin 20 times. Such an experiment is performed 50 times. The number of heads and the number of tails in each experiment are noted. What is the correlation coefficient between the two ?

A–1
B–20 / 50
C20 / 50
D1

Question 124Single Answer

Which of these groups of numbers has the smallest mean ?
Group A : 1, 2, 3, 4, 5, 6, 7, 8, 9
Group B : 1, 2, 3, 4, 6, 6, 7, 8, 9
Group C : 1, 2, 2, 4, 5, 6, 7, 8, 9
â€‹Group D : 1, 3, 3, 4, 5, 6, 7, 9, 9

Question 125Single Answer

Identical balls are tightly arranged in the shape of an equilateral triangle with each side containing n balls. How many balls are there in the arrangement ?

An² / 2
Bn (n + 1) / 2
Cn (n – 1) / 2
D(n + 1)² / 2

Question 126Single Answer

A shopkeeper has a faulty pan balance with a zero offset. When an object is placed in the left. plan it is balanced by a standard 100 g weight. When it is placed in the right pan it is bálanced by a standard 80 g weight. What is the actual weight of the object ?

A90 g
B88.88 g
C95 g
D85 g

Question 127Single Answer

A and B start from the same point in opposite directions along a circular track simultaneously. Speed of B is 2 / 3 rd that of A. How many times will A and B cross each other before meeting at the starting point ?

Question 128Single Answer

Consider a solid cube of side 5 units. After painting, it is cut into cubes of 1 unit. Find the probability that a randomly chosen unit cube has only one side painted .

A56 / 125
B36 / 125
C44 / 125
D54 / 125

Question 129Single Answer

How many integers in the set {1, 2, 3, .... 100} have exactly 3 divisors ?

Question 130Single Answer

The arithmetic and geometric means of two numbers are 65 and 25, respectively. What are these two numbers ?

A110,20
B115,15
C120,10
D125,5

Question 131Single Answer

Shyam spent half of his money and was left with as many as he had rupees before, but with half as many rupees as he had paise before. Which of the following is a possible amount of money he is left with ?

A49 rupees and 98 paise
B49 rupees and 99 paise
C99 rupees and 99 paise
D99 rupees and 98 paise

Question 132Single Answer

A cylindrical road roller having a diameter of 1.5 m moves at a speed of 3 km / h while levelling a road. How much length of the road will be levelled in 45 minutes ?

A2.25 km
B0.375p km
C0.75p km
D1.5 km

Question 133Single Answer

An intravenous fluid is given to a child of 7.5 kg, at the rate of 20 drop/minute. The prescribed dose of the fluid is 40 ml per kg of body weight. If the volume of a drop is 0.05 ml, how many hours are needed to complete the dose ?

Question 134Single Answer

A cousin is a non - sibling with a common ancestor. If there is exactly one pair of siblings in a group of 5 persons, then the maximum possible number of pairs of cousins in the group. is :

Question 135Single Answer

In a tournament with 8 teams, a win fetches 3 points and a draw, 1. After all teams have played three matches each, total number of points earned by all teams put together must lie between

A24 and 36
B24 and 32
C12 and 24
D32 and 48

Question 136Single Answer

An appropriate diagram to represent the relations between the categories KEYBOARD, HARDWARE, OPERATING SYSTEM and CPU is :

Question 137Single Answer

Trade figures and populations in appropriate units in a certain year are given for 7 countries .

If countries are ranked according to the difference in their per capita exports over import, then the best and worst ranking countries are respectively â€‹

AC and A
BA and E
CC and B
DA and F

Question 138Single Answer

At least two among three persons A, B and C are truthful. If A calls B a liar and if B calls C a liar, then which of the following is FALSE ?

AA is truthful
BB is truthful
CC is truthful
DAt least one is a liar

Question 139Single Answer

The maximum area of a right - angled triangle inscribed in a circle of radius r is :

A2r
B
C
Dr²

Question 140Single Answer

If we replace the mathematical operations in the expression (11 + 4 – 2) ÷ 2 × 6 as given in the table :

â€‹
â€‹then its new, value is :

A23 / 6
B1
C18
D7

Question 141Single Answer

A particle in one dimension executes oscillatory motion in a potential V (x) = A |x|, where A > 0 is a constant of appropriate dimension. If the time period T of its oscillation depends on the total energy E as Ea, then the value of a is :

Question 142Single Answer

The equation of motion of a one - dimensional forced harmonic oscillator in the presence of a dissipative force is described by
â€‹

The general form of the particular soltion, in terms of constants A, B etc., is : â€‹

At (At² + Bt + C) e^-2t + (Dt + E) e ^-81
B(At² + Bt + C)e^-2t + (Dt + E)e^-81
Ct (At² + Bt + C)e^-2t + t (Dt + E)eâ€‹^-81
D(At² + Bt + C)e^-2t + (Dt + E)e^-81

Question 143Single Answer

The vector potential for an almost point like magnetic dipole located at the origin is

â€‹â€‹where (r, θ, Ï•) denote the spherical polar coordinates and Ï•is the unit vector along Ï• f.â€‹
A particle of mass m and charge q, moving in the equatorial plane of the dipole, starts at time = t = 0 with an initial speed v₀and an impact parameter b. Its instantaneous speed at the point of closest approach is :

Av₀
B0/0
C
D

Question 144Single Answer

A particle, thrown with a speed v from the earth's surface, attains a maximum height h(measured from the surface of the earth). If v is half the escape velocity and Rdenotes the radius of earth, then h / R is :

Question 145Single Answer

A particle of mass 1GeV/c² and its antiparticle, both moving with the same speed v, produce a new particle X of mass 10 GeV/c²in a headon collision. The minimum value of v required for this process is closest to :

A0.83 c
B0.93 c
C0.98 c
D0.88 c

Question 146Single Answer

The volume of the region common to the interiors of two infinitely long cylinders defined by x²+ y²= 25 and x²+ 4 z²= 25 is best approximated by :

A225
B333
C423
D625

Question 147Single Answer

The volume integral

is over a region V bounded by a surface

(an infinitesimal area element being

, where

is the outward unit normal). If it changes to

when the vector A is changed to A +

A, then

â€‹I can be expressed as

Question 148Single Answer

A generic 3 x 3 real matrix.A has eigenvalues 0, 1 and 6, and I is the 3 x 3 identity matrix. The quantity/quantities that cannot be determined from this information is/are the :

Aeigenvalues of (I + A)^–1
Beigenvalues of (I + A^TA)
Cdeterminant of A^TA
Drank of A

Question 149Single Answer

A discrete random variable X takes a value from the set { –1, 0, 1, 2} with the corresponding probabilities p (X) = 3 / 10,2 / 10,2 / 10 and 3 / 10, respectively. The probability distribution q(Y) = (q(0), q(1), q(4)) of the random variable Y = X² is :