IMUCET 2021 Question Paper

IMU CET 2021
Question Paper
(Based on Memory Recall)

Qs 1. The Nagarjuna Sagar project is located on which of the following rivers?

Qs 2. How many 6 are there in the following series of number which are preceded by 7 but not
immediately followed by 9?

Qs 3. In Thar Desert region the shifting sand dunes are locally known as?

Qs 4. Find out the missing term A,C,F,_

Qs 5. How many 5 are there in the following sequence which are immediately followed by 3 but
not immediately preceded by 7?

Qs 6. How many pairs of letters are there in the word BUCKET which has as many letters
between them in the word as in the alphabet?

Qs 7. Inthe series6472914216........ How many pairs of successive numbers have a difference of
2 each?

Qs 8. Find out the missing term out of the given options CAT, FOW, IGZ,__?

Qs 9. “Autobiography of a Yogi” is a book written by?

Qs 10. Which of the followings is not a sea port?

Qs 11. Find out the missing term out of the given options Z,A,Q__?

Qs 12.The isthe — of which of the following rivers?

Qs 13. Find out the missing term out of the given options KM5, IP8, GS11, EV14,__?

Qs 14.

Qs 15. Which award is given for excellence in sports?

Qs 16. How many pairs of letters are there in the word SEQUENTIAL which has as many letters
between them as are in the alphabet?

Qs 17. The requirement of water is highest in which one among the following industries?

Qs 18. Find out the missing term out of the given options AB, BA, ABC, CBA, ABCD ?

Qs 19. Find out the missing term out of the given options ?

Qs 20. Jawahar tunnel on Jammu- Srinagar highway passes through?
Qs 21. How many 5’s are there in the following number sequence which are immediately
preceded by 9 but not immediately followed by 4?

Qs 22.

Qs 23. Find out the missing term out of the given options 2Z5, 7Y7,'14X9, 23W11, 34V13,___ ?

Qs 24. Count each 7 which is not immediately preceded by 5 but is immediately followed by
either 2 or 3. How many such 7’s are there?

Qs 25. Find out the missing term out of the given options?
In the following questions select the word which
matches to the word analogy in the question

Qs 26. ______is to _______ as_______is to ________?

Qs 27. ______is to _______ as_______is to ________?

Qs 28. ______is to _______ as_______is to ________?

Qs 29. ______is to _______ as_______is to ________?

Qs 30. ______is to _______ as_______is to ________?

Qs 31. ______is to _______ as_______is to ________?

Qs 32. ______is to _______ as_______is to ________?

Qs 33. ______is to _______ as_______is to ________?

Qs 34. ______is to _______ as_______is to ________?

Qs 35. ______is to _______ as_______is to ________?

For the following questions, select the appropriate
choice on the basis of the relationship given

Qs 36. ____is to hot as
A)cold is to ice
B)tea is to coffee
C)river is to ocean

Q37. India is to Pakistan as
A) America is to Europe
B)Australia is to England
C)Russia is to America
D) M.P is to Gujarat

Q38. Fish is to as
A) Hay isto horse
B)Crow is to eagle
C)Peacock is to bees
D)Crocodile is to alligators

Qs 39. Cake is to as

Q40. Monday is to Wednesday as
A)August is to November
B)Spring is to rains
C)year is to leap year
D)night is to day

Fill in the blanks with appropriate prepositions
Qs 41. I am acquainted______ the developments of the case.

Qs 42. The illness has confined him______ his bedroom.

Qs 43. Kolkata is famous______ its sweets

Qs 44. He goes to school______ foot

Qs 45. She is enamoured ______ Ranbir Kapoor.

For each of the words given below choose the option which is most similar in meaning to it
Qs 46. To smell a rat

Qs 47. Status quo

Qs 48. Vice versa

Qs 49. To bury the hatchet

Qs 50. To give the game away

Fill in the blanks with the correct form of the verb

Qs 51.I have been___ (try) to make a perfect cake since morning.

Qs 52. The Ganga ___(rise) in the Himalaya and ___(flow) into the Bay of Bengal.

Qs 53. He always ___(take) his coffee without sugar.

Qs 54. He was ___(bite) by a snake.

Qs 55. When he was a bachelor he often ___(arrive) home late and his father. ___(be) angry
with him.

Qs 56. That food didn’t ___ my stomach.

Qs 57. You should always ___.

Qs 58. I___ my old school reports when | was cleaning my desk.

Qs 59. The concert had to be___ as the singer went down with flu.

Qs 60. ____quietly with your work until the substitute teacher arrives.

Choose the option that completes the sentence most meaningfully and appropriately.

Qs 61. He was so stubborn and. ____ that parents gave up the hope of his reformation.

Qs 62.People were

Qs 63. The women in India were kept under ____ until the new laws in free India ensured their
____.

Choose the antonym of the underlined words

Qs 64.

Qs 65.

Qs 66.

Synonym
Qs 67. Pageant

Qs 68.

Qs 69.

Choose correct idiom

Qs 70. To hit the nail right on the head

Qs 71. Strike while the iron is hot.

Qs 72. To put ones hand to plough

Choose the answer that names the part of the speech of
the capitalised word in the following sentences

Qs 73. Farmers had VERY poor crops this year.

Qs 74. What language do most speak in BRAZIL.

Qs 75. The cashier CLOSED the door.

Passage Q76,77,78,79,80.

Qs 81. Two poles of equal height are standing opposite to each other on either side of the road
which is 30 meters wide. From a point between them on the road the angles of elevation of the
tops are 30° and 60° height of each pole is

Qs 82. The values of b and c for which the identity f(x+1)-
f(x)=8x+3 is satisfied where
f (x) = bx2 +cx + d are

Qs 83. What is the eccentricity of the conic 4x2+ 9y2=144

Qs 84. A coin is tossed three times. What is the probability of getting head and tail
alternatively?

Qs 85. The value of k for which one of the roots of x?-x+3k=0 is double of one of the roots of
x2-x+k=0

Qs 86. Equation of a plane perpendicular _to the plane x-2y+5z+1=0 which passes through the
points (2,-3,1 ) and (-1,1,-7) is given by

Qs 87. The binary representation of the decimal number 45 is

Qs 88. Foot of the perpendicular drawn from (0,5) to the line 3x-4y-5=0 is

Qs 89. What is the area of the parabola x2=y bounded by the line y=1?

Qs 90. The decimal representation of the binary number 1011 is

Qs 91. Let A= {1,2,3,4,5,6,7,8,9,10}, then the number of subsets of A containing exactly 2
elements is

Qs 92. In the equation (1 + x)” what is the sum of even binomial coefficients

Qs 93. The shadow of a tower standing on a level plane is found to be 50 mtrs longer when the
Sun’s elevation is 30° than when it is 60°. The height of the tower is

Qs 94. What is Sin-1(3/5) + Sin-1(4/5) equal to

Qs 95. Let g(x) = x2 — 4x + 6. If (fogx=gofx) and f(1)=2 then what is f(x) equal to

Qs 96. If the magnitude of difference of two unit vectors is V3 then the magnitude of the sum of
two vectors is

Qs 97. If the sum of n terms in an AP is 3n2+5n and Tm=164, then m is equal to a

Qs 98. What is the general solution of the differential equation x2dy+ y2dx=0

Qs 99. Equation of the curve passing through (3,9) which satisfies the differential equation
dy/dx = x + 1/x2 is

Qs 100. The mean and variance of 10 observations are 4 and 2 respectively. If every observation
is multiplied by 2, the mean and variance of new series will be

Qs 101. What is the sum of the squares of the root of the equation x2+2x-143=0

Qs 102. Two independent events A and B have P(A)=⅓ and P(B)=3/4. What is the probability
that exactly one of the two events A or B occurs?

Qs 103. If tanθ + sinθ = m, tanθ - sinθ = n, then
A) m2—n2= 4mn
B) m2+n2= 4mn
C) m2=n2 = m2+n2
D) m2—n2= 4vmn

Qs 104. The eccentricity of the hyperbola with latus rectum 12 and semi conjugate axis 2V3 is

Qs 105. A straight line x=y+2 touches the circle 4( x2+y2)=r?. The value of r is

Qs 106. What is [ (ex + 1)-1 dx equal to

Qs 107. The value of k for which the lines 2x+3y+a=0 and 5x+ky+a=0 represent a family of
parallel lines is

Qs 108. An AP consists of n (odd terms) and its middle term is m, then the sum of AP is

Qs 109. How many tangents are parallel to x —axis for the curve y =x2 - 4x +3

Qs 110. What is the real part of (sin x + icosx)3

Qs 111. What is one of the square roots of 3+4i

Qs 112. For real numbers x and y define a relation R xRy if and only if x-y+v2 is an irrational
number, then the relation R is

Qs 113. If A and B are symmetric matrixes of the same order then (ABA)’ is

Qs 114. If the curve vx + vy =1 then what is the value of dy/dx at (1/4,1/4)

Qs 115. The points (1,3,4), (-1,6,10), (-7,4,7) and (-5,1,1) are vertices of a

Qs 116. In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate

Qs 117. Four dices (6 faces) are rolled. the number of possible outcomes in which at least one
dice shows 2 is

Qs 118. What is the area bounded by the lines x=0 y=0 and x+y+2=0

Qs 119. What is fxe* dx (0 to 2)equal to

Qs 120. If A is any matrix then the product of AA is defined only when A is matrix of order mn
where

Qs 121. What is Sin-1(Sin 3pi/5) equal to

Qs 122. The determinant of an odd order skew symmetric matrix is always

Qs 123. The minimum value of the function f(x)=|x-4| exists at x is equal to

Qs 124. How many terms are there in the expansion of (1 + 2x +x2)18

Qs 125. Which one of the following is an example of a non-empty set

Qs 126. If f R—>R be defined as f(x)= Sin |x|, then which one of the following is correct
A). f is not differentiable only at x=0
B) f is differentiable only at x=0
C) f is differentiable everywhere except at x=0
D) f is not differentiable at many points

Qs 128. What is the value of the integral J|x| dx ? (-1to1)

Qs 129. For the equation ax2+ by2+2bxy+2gx+2fy+c=0 where a is not equal to b, to represent a
circle the condition to be

Qs 130. If two rows of a determinant are identical then what is the value of determinant?

Qs 131. A toy is thrown vertically upwards and then falls back on the ground. Its potential
energy is maximum at

Qs 132. In a Carnot engine when heat is taken by a perfect gas from the source, then the
temperature of the source

Qs 133. An isobar is produced in
A)deutron emission
B) proton emission
C)
D)

Qs 134. Motion of a particle described in the x direction by x=sinwt and in the y direction by
y=coswt the particle is moving on

Qs 135. A secondary cell of 2.5V and internal resistance of 0.05 omega is being charged with a
current of 10A. The potential difference between the two terminals of the secondary cell will be

Qs 136. The resistance of certain length of wire having a diameter of 6mm is 5 Q. The wire is
drawn such that the diameter becomes 3 mm. the new resistance will be

Qs 137. The heat generated when a condenser of 100uF capacity 1 charged to 220 V and
discharged through a 2 omega resistance

Qs 138. A particle performing uniform circular motion has angular momentum L. if its angular
frequency is doubled and its kinetic energy halved, then the new angular momentum is
Qs 139. A hollow sphere of copper is charged is charged with +ve charge. The electric field
inside the sphere will be

Qs 140. If the frequency of a note emitted by a source changes by 20 % as it approaches an
observer. As it recedes away from him, the speed of the source is nearby

Qs 141. At constant temperature on increasing pressure of a gas by 5%, its volume will increase

Qs 142. A sound wave has frequency of 2KHz and a wavelength of 35cm. If an observer is 1.4km
away from the source then after what time interval the observer can hear the sound?

Qs 143. A body attached to a spring balance weighs 10 kg on the earth. The body attached to
the same spring balance is taken to a planet where gravity is half that of the earth. The spring
balance will read

Qs 144.The source and sink temperature of a Carnot engine are 400K and 300K. Its efficiency is

Qs 145. The speed of electron in the ground state of the hydrogen atom is

Qs 146. Luminosity of as rigel star in Orion constellation is 17000 times that of our Sun. If the
surface temperature of the Sun is 6000K, then the surface temperature of the star is what

Qs 147. A refracting telescope consists of

Qs 148. 1g of water at 100° Celsius is converted to steam at the same temperature. The amount
of heat required is nearest to a value of

Qs 149.Two soap bubbles have radius in the ratio 2:1. What is the ratio of excess pressure inside
them

Qs 150. A water producing agent changes the angle of contact from

Qs 151. If the height of a simple pendulum is being increased by 4 folds, then time period of
oscillation will be

Qs 152. When you walk on a wooden carpet and bring your finger near the metallic handle of
the door, an electric shock is produced. This is because

Qs 153.The work done on an object does not depend on its

Qs 154. When a gas filled in a closed vessel is heated through 1°C its pressure increases by 0.4%,
thenghe initial temperature of the gas was

Qs 155. Molecular weight of heavy water used as a moderator in nuclear reactor is

Qs 156. The power output of a machine that lifts 600kg through a height of 20m in 1min is

Qs 157. The ratio of fundamental frequency of an and closed organ pipe of the same length is

Qs 158. Two pure insulators each of self-inductance | are connected in parallel but are well
separated from each other, then the total inductance is

Qs 159. A jet aircraft is flying due to south at 300m/s at a place where the vertical component of
the earths magnetic field is 80uT. The potential difference between the wing flaps if they are
25m apart is

Qs 160. Four hot metallic articles which are coloured as blue, red, black and white but have
same temperature and then they are allowed to cool. Which will have the fastest cooling rate?

Qs 161. An elastic spring has a force constant k is cut into three equal parts. The force constant
of each part is

Qs 162. The value of retarding potential needed to stop the photoelectrons ejected from a
metal surface of work function 1.2eV with light of energy 2eV is

Qs 163. The internal energy U is unique function of any state because it

Qs 164. Two bodies A and B are moving with equal velocities. The mass of B is double that of A.
In this context which one of the following statements is correct about their momentums

Qs 165. Pressure of a gas increases due to increase of its temperature because at higher
temperatures

Qs 166. A body has a mass of 50kg. Its velocity is brought down from 20 m/s to 5m/s by a
resisting force in 5s. The magnitude of resisting force is

Qs 167. 1 gm of ice at 0°C s mixed with 1gm of steam at 100°C. After thermal equilibrium the
temperature in degree Celsius of the mixture is

Qs 168. According to Bohr’s atomic model, the electron revolves around the nucleus in

Qs 169. A wheel of mass 10kg has a moment of inertia of 160kgm2 about its own axis, the
radius of gyration will be

Qs 170. For a perfectly elastic collision the coefficient of restitution is

Qs 171. Two similarly charged bodies are kept 5cm apart in air. If the second body is shifted
away from the first by another 5cm, their force of repulsion will be

Qs 172. A force applied on a body is represented as F= 6i- 8j+10k and accelerates at 1m/s. The
mass of the body is

Qs 173. Four rods of length | and radius r of the same material are kept at the same
temperature. Which of the rods conduct most heat?

Qs 174. The viscus force of a small sphere of radius r moving in a fluid is directly proportional to

Qs 175. Imagine a current carrying wire with the direction of current downward or into the
page. The direction of the magnetic field lines is

Qs 176. The height at which acceleration due to gravity decreases by 36% of its value on the
surface of the earth (radius of earth is R)

Qs 177. Density of water is
A)max at 0°C
B) min at O°C
C)max at 4°C
D) min at 4’c

Qs 178. The apparent frequency noted by a moving listener away from the stationary source is
10% less than the real frequency. If the velocity of sound is 330 m/s, then the velocity of the
listener is

Qs 179. The process by which a heavy nucleus splits into lighter nucleus is known as

Qs 180. The mirror used for the head light of a car is

Qs 181. The best and poorest conductors of heat are respectively

Qs 182. The temperature at which a solid melts to become a liquid at the atmospheric pressure
is called its melting point. The melting point of a solid is an indication of

Qs 183. In haemoglobin the iron is in oxidation state of

Qs 184. In Bosch Process hydrogen is collected from

Qs 185. behaviour of hydrogen is due to

Qs 186. 1gm of combines with 1gm of hydrogen and 20g of calcium, therefore when calcium
combines with hydrogen it must combine in the ratio 20:1. This statement complies to the law
of
Qs 187. Which of the following statements is correct
A)covalent bonds are directional
B)lonic bonds are directional

Qs 188. What is the number of moles of H2(g) requires to separate one mole of benzene

Qs 189. Acidity of BF3 can be explained on the basis of which of the following concepts

Qs 190. Which of the following does not wet the walls of the glass vessel in which it is kept?

Qs 191. Which of the following acids is a mineral acid?

Qs 192. Two atoms are said to be isotopes if

Qs 193. Which of the following has different number of molecules? :
A) 3gm of hydrogen
B)48gm of oxygen
C)42gm of nitrogen
D) gm of carbon

Qs 194. Conversion of glucose into ethanol is called

Qs 195. Oxidation number of sulphur in perdisulphuric acid is

Qs 196. The principal of cleaning by soap is

Qs 197. Which of the following is not a chemical change?
A) ripening of fruits
B) freezing of water
C) curding of milk
D) digestion of food.

Qs 198. Equal masses of oxygen, hydrogen and methane are kept under identical conditions.
The ratio of the volumes of gases will be

Qs 199. A neutronic species that has 16 electrons anda net charge of 2 has :
A) The same no of electrons as a neutral argon atom
B) More protons than electrons
C)Two unpaired electrons

Qs 200. A student by chance mixed acetone with This mixture of acetone and alcohol can be
separated
A) filtration
B) separating funnel
C) fractional distillation