English 


Q1. "Once in a blue moon" (Meaning of given idiom)

a) Fast to realize

b) Very often

c) Very rarely

d) Far away


Q2. Dotty (Select the most appropriate meaning)

a) Slightly crazy or silly

b) Unclear

c) Filled with dots

d) False


Q3. "Demure" (select the most appropriate meaning)

a) Reserved

b) Lack of Courage

c) Arrogant

d) Ordinary


Q4. There are four ______ the room.

a) next

b) in

c) on

d) front


Q5. A sight for sore eyes (Meaning of given idiom)

a) To have something hidden

b) To be blind to another person's pain

c) To be ignorant of Facts

d) To see a welcome but unexpected thing


Q6. Under the auspices (Select the most appropriate meaning)

a) With the coming of good occasion

b) Of a spiritual source

c) Under the protection, sponsorship or patronage

d) In the process of important work


Q7. "Exuberant" (Select the most appropriate meaning)

a) Spluttering sound

b) Collapse

c) Attractive

d) Full of energy


Q8. A hot potato (Meaning of given idiom)

a) someone very refined

b) A food that is delicious

c) Too hot to handle

d) A controversial issue


Q9. A red rag to a bull (Meaning of given idiom)

a) Having one's biggest dream fail

b) Doing the best that one can

c) Deliberately provoking someone

d) Wanting to win at all cost


Q10. The land is parched ______ want of water

a) on

b) with

c) for

d) at


Q11. I visit the Lal Quila _______ I go to Delhi.

a)ever

b)whenever

c)once

d)whenever


Q12. The train will arrive sometime _____ 10 and 11 P.M.

a) between

b) in

c) on

d) next to


Q13. Every time she would meet the doctor, she would _____ some new disease in her mind from which

she was gravely suffering

a) refrain

b) retail

c) retain

d) conjure


Q14. Shyam lived here ______ 2011 to 2015

a) for

b) from

c) since

d) in


Q15. I could not get a bus _____ I came early.

a) as

b) if

c) when

d) though


Mathematics 

Q1. The edge of a variable cube is increasing at the rate of 2Cm/s. How fast is the volume of the cube increasing when the edge is 8 cm long?

a) 900 cm^3/s

b) 384 cm^3/s

c) 216 cm^3/s

d) 512 cm^3/s


Q2. If P(A)=0, P(B)=0.6 & P(BA)=0.2, find the value of P(A∩B).

a) 0.12

b) 0.08

c) 0.32

d) 0.24


Q3. In a group of 75 people, 50 like cricket, 15 like both cricket and tennis. How many like tennis only and not cricket given each person likes at least one of the two sports?

a) 35

b) 15

d) 40

d) 25


Q4. Which law of set theory if represented by the expression AUA=A

a) Associative Law

b) Commutative Law

c) Law of identity element

d) Idempotent Law


Q5. Find the values of X for which y=[X(X-33)]^2 is an increasing function.

a) 0<X<3/2 and X>3

b) 0<X<1 and X<2

c) 0<X<1 and X>2

d) 0<X<3 and X>5


Q6. Find the second order derivative of X^2logX

a) 2logX+3

b) 2logx+1

c) 2XlogX+X

d) 2(logX-1)


Q7. Find the sum of the following Series: 7^2+8^2+9^2+.........+25^2

a) 5525

b) 5616

c) 2840

d) 5434


Q8. The number of all possible matrices of order 3X3 with each entry 0 or 1 is?

a) 64

b) 243

c) 512

d) 81


Q9. Which of the following holds True if a, b, c, and d are in G.P.?

a) (a^2+b^2+c^2)(b^2+c^2+d^2)=3abc

b) (a^2+b^2+c^2)(b^2+c^2+d^2)=(a+b+c+d)^2

c) (a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2

d) (a^2+b^2+c^2)(b^2+c^2+d^2)=(a+b+c+d)^2(ab+bc+bd+ad)


Q10. What is the total number of 3-digit odd numbers greater than 300?

a) 315

b) 450

c) 700

d) 350


Q11. How many 3-digit numbers are there with no digit repeated?

a) 504

b) 729

c) 900

d) 648


Q12. Using the properties of determinants, evaluate the following: 

(put screenshot)

a) (5x+4)(4-x)^2

b) (5x+4)(x+4)^2

c) 8x^3(4-x)^2

d) 8x^3(x+4)^2


Q13. The displacement of a moving vehicle as a function of time is given by s = 5t^3+7t^2+2t, where s is in meters and t is in seconds. What will be the velocity of the vehicle at t = 2 sec?

a) 90 m/s

b) 72 m/s

c) 54 m/s

d) 60 m/s


Q14. In a group of 70 people, 37 like thriller movies, 52 like Sci-fi movies, and each person like at least one of the two genres. How many people like both thriller and Sci-fi movies?

a) Insufficient Information

b) 19

c) 15

d) 25

 


Q15. A bag contains 6 red and 6 black balls, another bag contains 4 red and 8 black balls. One of the two bags is selected at random, and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.

a) 2/3

b) 3/5

c) 2/5

d) 3/2


Q16. The rate of change of the surface area with respect to its radius r, at r=8 cm will be _______

a) 2π

b) 512π

c) 64π

d) 16π


Q17. Karina obtained 80 and 75 marks in first two-unit test. Find the minimum marks he should get in the third test to have an average of at least 60 marks.

a) 25

b) 72

c) 64

d) 70


Q18. The acceleration of a moving body as a function of time is expressed as a=t^2+2t, where a is in m/s^2 and t is in second during the first 2 seconds of the journey given the body was at rest at t = 0 s ?

a) 15 m/s

b) 6.67 m/s

c) 20 m/s

d) 9.99 m/s


Physics 

Q1. Three conducting wires in the shape of a cylinder, having the same lengths and made of the same material have their area of cross-section in the ratio 1:2:3. The resistances will be in the ratio: 

a) 1:2:3

b) 3:2:6

c) 6:3:2

d) 3:2:1


Q2. A full-wave rectifier is fed with an input signal of frequency 50 Hz. The frequency of the output signal will be

a) 100 Hz

b) 12.5 Hz

c) 25 Hz

d) 50 Hz


Q3. An object is placed between the focus and the pole of a concave mirror. The nature of the image formed will be :

a) real, erect and magnified

b) real, inverted and smaller in size

c) virtual, erect and magnified

d) virtual, erect and smaller in size


Q4. An electric dipole with dipole moment 5X10^-8 Cm is aligned at an angle of 37° with respect to the field of magnitude 200NC^-1. The net torque on the dipole will be:

a) 6X10^-6 N-m

b) 6X10^-8 N-m

c) 10^-5 N-m

d) Zero


Q5. A charge of 8 Coulomb is uniformly distributed on a plastic ring of radius 1 m. The electric field along distance √3m from its center will be :

a) 0.6 X 10^10 N/C

b) 15.6 X 10^10 N/C

c) 7.2 X 10^9 N/C

d) 1.6 X 10^10 N/C


Q6. Two waves with slightly different frequencies interfere to produce beats with a frequency 3Hz. If one of the interfering waves has a frequency of 297 Hz, the other wave can have the frequencies:

a) 294 Hz or 300 Hz

b) 300 Hz or 295 Hz

c) 291 Hz or 294 Hz

d) 294 Hz only


Q7. Three resistor 2Ω, 3Ω, and 5Ω are connected in series across a battery of EMF 20V and negligible resistance. The potential drop across 3Ω resistor will be: 

a) 4 V

b) 6 V

c) 3 V

d) 9 V


Q8. Using the rule of significant figures, the volume of a cube whose edge length is measured to be 2021 cm, will be expressed as:

a) 10.794 cm^3

b) 10.7 cm^3

c) 10.8 cm^3

d) 10.79 cm^3


Q9. The molar heat capacity at constant pressure for a diatomic molecule (rigid) will be:

a) 7R/2

b) 5R/2

c) 3R/2

d) R


Q10. A pebble of mass 100 gram, tied to one end of a very light string revolves in a vertical circle 

of a radius of 2 m. If the speed of the pebble at its lowest point is 4 m/s, the tension in the string

in this position will be_______

a) 3.6 N

b) 1.8 N

c) 1 N

d) 8.8 N


Q11. Unpolarised light is incident on a plane glass surface. At what angle should the light

be made incident, so that the reflected light is totally polarised? (Refractive index of glass = 1.54)

a) 37°

b) 45°

c) 57°

d) 53°


Q12. A current of 10 A flows through an inductor of self-inductance 10mH. The magnetic energy stored by it is:

a) 500 J

b) 7.5 J

c) 1.75 J

d) 0.5 J


Q13. An adiabatic process is performed on two moles of oxygen molecules, such that its temperature rises from 300K to 500K. The work done by the gas in the process is :

a) 1000 R

b) -500 R

c) -1000 R

d) 100 R


Chemistry 


Q1. Which of the equation CORRECTLY represents the preparation of Glucose from starch?

a) C12H22O5 + H2O ---> C12H12O6 + C6H12O6

b) (C6H12O5)n + nH2O ---> nC6H12O6

c) (C6H12O5)n + nH2O ---> nC6H12O6

d) C12H22O11 + H2O ---> C6H12O6 + C6H12O6


Q2. What is the atomic number of moscovium- a synthetic radioactive element?

a) 83

b) 115

c) 51

d) 33


Q3. Which of the following is a group-15 element ?

a) Phosphorous

b) Oxygen

c) Sulphur

d) Polonium


Q4. Which of the following colloidal solutions is based on the nature of the interaction between the dispersed phase and dispersion medium ?

a) Associated colloids

b) Multimolecular colloids

c) Macromolecular colloids

d) Lyophobic colloids 


Q5. Which of the following is an application of polyacrylontrite?

a) Use in making oil seals

d) Used in making gaskets

c) Used for non-stick surface coated utensils

d) Used as a substitute for wool in making Orion


Q6. Which of the following is an example of a monosaccharide carbohydrate?

a) Starch

b) Ribose

c) Cellulose

d) Glycogen


Q7. Which of the following is NOT a method used for the preparation of aldehydes and ketones?

a) Reduction of hydrocarbons

b) Oxydation of alcohols

c) Dehydrogenation of alcohols

d) Hydration of alkynes


Q8. Which of the following option is the correct valence shell electronic configuration of the group-15 elements? 

a) ns^2np^4

b) ns^2np^2

c) ns^2np^3

d) ns^2np^3


Q9. Tinchure of Iodine is _____

a) 2-3% solution of iodine in alchol-water mixture

b) 0.1-2% solution of iodine in alchol-water mixture

c) 1-5% solution of iodine in water

d) 2-3% solution of iodine in alcohol


Q10. The temperature range for the formation of High-Density polythene is _____

a) 333 K to 343 K

b) 350 K to 570 K

c) 330 K to 500 K

d) 300 K to 450 K


Q11. When a nucleoside is linked to phosphoric acid and at 5°- position of sugar moiety, the resultant structure is called ____

a) Retro nucleotide

b) Nucleotide

c) Dinucleoside

c) Dinucleoride


Q12. Which of the following is NOT an example of corrosion?

a) Development of green coating on copper

b) Depositing of Zinc on Iron

c) Tranishing of silver

d) Rusting of iron


Q13. What is the color of the coordination complex [CoCl(NH2)5]^2+ 2Cl^- ?

a) Cream

b) Violet

c) Purple

d) Yellow


Q14. Which of the following is NOT a category of synthetic detergents? 

a) Hetrophilic detergent

b) Anoinic detergents

c) Non-ionic detergents

d) Cationic detergents


Q15. Which of the following is NOT a type of RNA molecule present in the secondary structure of RNA?

a) Transactional RNA

b) Messenger RNA

c) Ribosomal RNA

d) Transfer RNA