Entrance Exam Vayusa Entrance Exam This Exam Contains 65 Questions as in below sequence: ▪️English (10 Questions) ▪️Physics (25 Questions) ▪️Maths (25 Questions) ▪️General Aviation Knowledge (5 Questions) There will be no negative marking. You would have 60 minutes to solve this paper. All the best! Thankyou for participating in this exam. We will contact with you soon after evaluating your paper. Entrance Exam (CPL) 1 / 65 Choose the correct Antonyms given and indicate your choice for the correct answer. FASCINATING Clever Uniform Charming Boring 2 / 65 A heavy storm was forecast _____ the weather was clear. but because unless and 3 / 65 It was very cold outside, and the fire we lit was dimming down; hence I decided to _______ it a bit. soak strike stroke All of the above 4 / 65 I read an advertisement that said P : posh, air-conditioned Q : gentleman of taste R : are available for S : fully furnished rooms The Proper sequence should be: PQRS PSRQ PSQR SRPQ 5 / 65 When he P : did not know Q : he was nervous and R : heard the hue and cry at midnight S : what to do The Proper sequence should be: RQPS QSPR SQPR PQRS 6 / 65 To help counter a claim by some that the doctor was a ______, he was forced to ______ his rather impressive list of documented accomplishments. specialist. . . disclose generalist. . . specify masque. . . castigate charlatan. . . cite 7 / 65 Unfortunately, she was left with only a false hope of recovery, purely ______. derisive divisive delusive delirious 8 / 65 Choose the word that is opposite in meaning to the word "virtuous": Generous Wicked Kind Brave 9 / 65 Choose the word that is closest in meaning to the word "banal": Unique Boring Complex Valuable 10 / 65 Which of the following sentences uses correct subject-verb agreement? The group of friends is planning a trip together. The group of friends are planning a trip together. The group of friends was planning a trip together. he group of friends were planning a trip together. 11 / 65 Air pressure is usually highest when the air is warm and moist cool and dry warm and dry cool and moist 12 / 65 The speed of light will be minimum while passing through Water Vaccum Air Glass 13 / 65 Energy travels from Sun to Earth through__: Conduction Convection Radiation Modulation 14 / 65 Which among the following determines the pitch of a sound? Amplitude Frequency Loudness Wavelength 15 / 65 1 horsepower = approximately _____ watts. 746 764 647 674 16 / 65 What is the Earth’s escape velocity? 2.8km/s 5.6km/s 11.2km/s 14km/s 17 / 65 What is the S.I. unit of electric charge? Ampere Coulomb Joule Watt 18 / 65 Which of the these physical quantities is a vector quantity? Temperature Speed Gravitational Intensity Work 19 / 65 1 nautical mile is equivalent to which of the following? 1.44x1000m 1.852x100m 1.852x1000m 1.44 x 100 m 20 / 65 Which one of the following has ‘ohm’ as its unit? Resistivity Conductivity Conductance Inductive Reactance 21 / 65 A tuning fork of frequency 256 Hz produces a sound wave of wavelength 1.3 m in a certain medium. The speed of sound in that medium is: 332 m/s 343 m/s 256 m/s 198 m/s 22 / 65 A ball is thrown vertically upwards with a speed of 10 m/s. The time taken by the ball to reach the maximum height is: 1 s 2 s 3 s 4 s 23 / 65 In a moving coil galvanometer, number of turns in the coil are increased to increase the current sensitivity by 50%. Find percentage change in voltage sensitivity. -50% 50% No Change 25% 24 / 65 A lens of refractive index 1.5 and focal length 15 cm in air is submerged in water. Change in focal length of lens is ( r = 4/3 ) 45 cm 60 cm 30 cm 10 cm 25 / 65 The displacement x of a particle in SHM is given by x = A sin (ωt + Φ). The maximum velocity of the particle is: Aω Aω^2 Aω cos Φ Aω sin Φ 26 / 65 A beam of light of wavelength λ is incident on a metal surface. The maximum kinetic energy of the photoelectrons emitted is proportional to: λ^2 λ^-2 λ λ^-1 27 / 65 The mass of a proton and an electron are mP and me respectively. The ratio of the de-Broglie wavelength of the proton to that of the electron in a hydrogen atom in the ground state is: me/mP mP/me me/mP^2 mP^2/me 28 / 65 The dimension of electric permittivity is: MLT^-2Q^-2 M^-1L^-2T^4Q^2 M^-1L^-3T^4Q^2 M^-1L^-3T^2Q^2 29 / 65 An object of mass m is thrown upwards with a velocity v. What is the maximum height reached by the object? (Take g as the acceleration due to gravity) v/g v²/2g 2v²/g 2v/g 30 / 65 A ball is thrown vertically upwards with a velocity of 20 m/s. The maximum height reached by the ball is: 20 m 40 m 80 m 160 m 31 / 65 A man of weight 60 kg is standing on a weighing machine in a lift which is moving upwards with a uniform acceleration of 2 m/s². The reading on the weighing machine is: 240 N 420 N 600 N 720 N 32 / 65 A particle moves with uniform acceleration. Its velocity and displacement as functions of time are given by v(t) = 4t and s(t) = 2t². The acceleration of the particle is: 4 m/s² 8 m/s² 12 m/s² 16 m/s² 33 / 65 A wire is first coiled in n circular turns and current I is run through it. Now the same wire is again coiled in N circular turns and same current I is run through it. If B1 and B2 are the magnetic fields at centre of two coils respectively then B1 / B2 is equal to : √ n/N (n/N)^2 n/N n^3/ N^3 34 / 65 Two masses of 4 kg and 6 kg are connected by a light string passing over a smooth pulley. If the system is released from rest, then the acceleration of the system is: 1.0 m/s² 2.0 m/s² 3.0 m/s² 4.0 m/s² 35 / 65 During an adiabatic process performed on a diatomic gas 725 J of work is done on the gas. The change in internal energy of the gas is equal to: 495 725 225 0 36 / 65 If a certain sum of money can become 5 times of its principal in 10 years, then the rate of interest is 20% 30% 40% 50% 37 / 65 4950/6 + 112 x 1.75 = ? x 2 510.5 505.2 515.5 None of the above 38 / 65 A shopkeeper purchases 15 mangoes for Rs. 10 and sells them at 10 mangoes for Rs. 15. Thus, he earns a profit of: 50% 75% 80% 125% 39 / 65 If Px = Qy = Rz and Q/P = R/Q, then 2z/(x+z) = ? y/z y/x x/y z/y 40 / 65 A, B and C can complete a piece of work in 14, 6 and 12 days respectively. Working together, they will complete the work in 19/9 days 27 days 28/9 days 25/8 days 41 / 65 If the length and breadth of a rectangle are increased by a% and b% respectively, then the area will be increased by (a-b+2ab/100)% (a+b+2ab/100)% (a+b+ab/100)% (a-b+ab/100)% 42 / 65 Consider ΔABD such that angle ADB = 20° and C is a point on BD such that AB=AC and CD=CA. Then the measure of angle ABC is 30° 40° 45° 60° 43 / 65 The areas of two similar triangles are 81 sq. cm and 49 sq. cm. Find the ratio of their corresponding heights. 9:7 7:9 6:5 81:49 44 / 65 An angle whose value is ____, is called complete angle. 180° 240° 360° None of the above 45 / 65 A line which cuts a pair of parallel lines is called Tangent Chord Traversal Intersector 46 / 65 If a ,b ∈ I and relation R1 is defined as a2 - b2 ∈ I and relation R2 is defined as 2+a/b>0, then: R1 is symmetric but R2 is not R2 is symmetric but R1 is not R1 and R2 are both symmetric R1 and R2 are both transitive 47 / 65 The minimum value of the function f(x) = |x²-x+1| + |x²-x-1|, where [x] denotes greatest integer function, is: 3/4 5/4 1/4 0 48 / 65 Let a, b, c be three non-zero vectors such that a + b + c = 0. Then, which of the following is true? a, b, c are collinear a, b, c are coplanar |a + b| = |b + c| None of the above 49 / 65 Let A be a 2 × 2 matrix such that |A| = 3 and A² + 2A + I = 0, where I is the 2 × 2 identity matrix. Then, the inverse of A is: (1/3) A - I -3A - 2I -1/3 A + I -3/2 A - I 50 / 65 The number of positive integers n such that n! is divisible by 23! is: 22 23 24 25 51 / 65 If sin x + cos x = a, then the value of (sin² x - cos² x)/(sin² x + cos² x) is: (1-2a²)/(2a²+1) (2a²-1)/(2a²+1) (1-2a²)/(2a²-1) (2a²-1)/(2a²-1) 52 / 65 The value of the expression log₄(x + √(x² - 1)) - log₂(x + 1) is: log₂ 4 log₂ 2 2log₂ 2 2log₄ 2 53 / 65 The maximum value of the function f(x) = cos(x) + 3sin(x) is: 4 10 2√2 √10 54 / 65 The probability that a leap year selected at random contains 53 Sundays is: 1/7 2/7 3/7 None of the above 55 / 65 The value of the integral ∫(x + 1)/(x² + 2x + 3) dx is: (1/2) ln|x² + 2x + 3| + C (1/2) ln|x² + 2x + 3| - ln|x + 1| + C ln|x + 1| + C None of the above 56 / 65 The equation of the tangent to the curve y = x³ - 3x² + 2x + 1 at the point (2, 3) is: y = x - 1 y = 3x - 5 y = 2x + 1 y = x + 1 57 / 65 Foot of perpendicular from origin to a plane which cuts the coordinate axes at A, B, C is (2, a, 4). Area of tetrahedron OABC is 144 m2 . Which of the following points does not lie on plane? (2, 2, 4) (0, 3, 4) (1, 1, 5) (5, 5, 1) 58 / 65 Number of 7 digit odd numbers formed using 7 digits 1, 2, 2, 2, 3, 3, 5 will be 80 420 240 140 59 / 65 Let A be a 2 × 2 matrix such that |A| = 3 and A² + 2A + I = 0, where I is the 2 × 2 identity matrix. Then, the inverse of A is: (1/3) A - I -3A - 2I -3/2 A - I -1/3 A + I 60 / 65 If the product of two natural numbers is 154 and their HCF is 7, then their LCM is: 22 44 154 308 61 / 65 Who is called the Father of Indian Aviation? Naval Tata Dorabji Tata J. R. D Tata R. D. Tata 62 / 65 What does FAA stand for? Federal Avionics Administration Fedex Aircraft Administration Flying Aviation Administration Federal Aviation Administration 63 / 65 What are the four forces of flight? Air law, trust, drag, and heavy Crew, aircraft, luggage, and passengers Lift, thrust, drag, and weight Lift, drag, heavy, and land 64 / 65 Altitude in aviation in measured in? Feet Meters Kilometers Miles 65 / 65 What does ICAO stand for? International Civil Aviation Organization Intense Civil Aviation Operations Interstate Civil Aviation Organization None of these LinkedIn Facebook Exit