PHYSICS
Q. You have 20 inductors available each of 15 H. You need an inductor of 1H in a circuit. You achieve it by combination:
Answer: A) 15 inductors in parallel.
Q. A thermistor with negative temperature co-efficient is placed in a furnace. When temperature of furnace increases the resistance:
Answer: A) Decreases.
Q. In frequency modulation, the amplitude of carrier waves remain same but its frequency changes in proportion to:
Answer: A) The amplitude of modulating signals.
Q. Reception of particular radio station is selected by tuning knob which changes the:
Answer: B) Capacitance.
Q. Density of oxygen is about 16 times that of hydrogen. Therefore if speed of hydrogen is x, then speed of oxygen?
Answer: B) Less than x.
Q. When you drop a ball it accelerates at 9.8 m/sec². If you instead throw it downward then it accelerates immediately after leaving your hand assuming no air resistance:
Answer: A) 9.8.
Q. In an inelastic collision between two bodies, following is conserved?
Answer: B) Momentum.
Q. As the water falls from the tap, the cross sectional area should decrease according to?
Answer: A) Equation of continuity.
Q. AC voltage is passed through single diode rectifier, the output of the rectifier is:
Answer: B) Half wave DC.
Q. A Police motor cycle running at 140 km/hr sounds a siren of 2 Hz frequency while chasing a car at 150 km/hr. The apparent frequency heard by the car driver is:
Answer: B) Less than 2 Hz.
Q. If two NOT gates in parallel are attached to NAND gate in series, the gate formed is:
Answer: C) OR.
Q. In circuit X, L=100mH and C=100μF in series. In circuit Y, L=100mH and C=10μF in parallel, the resonating frequency fx, fy are related as:
Answer: B) fy = √10 fx.
Q. A transformer has 100 turns on input and 500 turns on output. If input is 220V and 5A. The output power is:
Answer: B) 1100 Watt.
Q. Truck (5000 kg) and Car (1000 kg) at 36 km/hr. Force to stop in 10 sec is X and Y. Difference is:
Answer: B) 4 KN.
Q. A tight wire is clamped at 2 m apart. Three longest wavelengths:
Answer: C) 4m, 2m, 1.33m.
Q. In optical fiber, angle of incidence i should be:
Answer: B) Greater than critical angle.
Q. Two spheres A and B (ra > rb) concentric with charge Q. Total flux passing normally:
Answer: C) Flux through both spheres is equal.
Q. Ratio of RMS speeds c1/c2 for masses m1, m2 at constant temperature:
Answer: A) √(m2/m1).
Q. A 500 kg rocket travels in deep space at constant 3000 m/s. Power produced by engine is:
Answer: D) None of these.
Q. Shell fired at 45° with 100 m/s. Time of flight (g=10):
Answer: B) 14 seconds.
Q. In an inelastic collision, the following is conserved:
Answer: D) Total energy and momentum.
Q. Young’s double slit experiment is used to study interference of:
Answer: D) Visible light.
Q. Need 2.5 kΩ from 20 kΩ resistors:
Answer: B) Eight 20 kΩ in parallel.
Q. Need 150 nF from 15 nF capacitors:
Answer: C) 10 capacitors in parallel.
Q. Which device does not use electromagnetic waves?
Answer: A) Ultra-sound machine.
Q. 1000 kg truck + 500 kg load. Power 2500W for 5 mins. Vertical height:
Answer: B) 50 m.
Q. Photoelectric effect – maximum energy of electrons depends on:
Answer: C) Wavelength of light.
Q. Truth table (00→0, 01→1, 10→1, 11→0) is for:
Answer: D) XOR gate.
Q. AC voltage fed into single diode. Output is:
Answer: B) Half wave rectified DC voltage.
Q. Heisenberg’s uncertainty principle: not possible to accurately measure:
Answer: A) Both position and momentum.
MATHEMATICS
Q. Asim is 3x Irfan. After 10 years, Asim is 2x Irfan. Asim’s age now:
Answer: C) 30.
Q. Solution of xdy+(y−1)dx=0:
Answer: B) x(y−1)=c.
Q. Max value of f(x,y)=x+3y given −x≤2,x≤3,y≤1:
Answer: D) (3,1).
Q. u=ai−j+k and v=i−2j+bk are collinear if:
Answer: B) a=1/2,b=2.
Q. Vectors u and v are perpendicular if:
Answer: C) a=1,b=−3.
Q. Circle with center (4,3) and radius 2:
Answer: D) x²+y²−8x−6y+21=0.
Q. Equation x²+(y−1)²/4=1 represents:
Answer: C) An ellipse with center at (0,1).
Q. Integral of 4sin(2x):
Answer: C) −2cos(2x)+c.
Q. Approximate value of sin(π/10):
Answer: D) π/10.
Q. Max area of right triangle with hypotenuse 5:
Answer: B) Both legs √12.5.
Q. Derivative of esinx cosx:
Answer: D) None of the above.
Q. Function f(x)=−x³+5 has:
Answer: C) An inflexion at x=0.
Q. Line through intersection of x+y−1=0 and x=0, parallel to x−y=0:
Answer: C) y=x+1.
Q. log(27)−log(9) is equal to:
Answer: D) None of the above.
Q. If y=2x, then dy/dx equals:
Answer: B) 2x ln2.
Q. Particle rest point (x=8t−2t²,y=12t−3t²):
Answer: C) (8,12,4).
Q. If f(x)=3x−1, then f⁻¹(x) is:
Answer: D) 1/3(x+1).
Q. Period of y=3sin(x/4):
Answer: B) 8π.
Q. If length of arc is L and radius is L, angle in radians is:
Answer: D) None.
Q. If sin(x)=cos(x), then x equals:
Answer: B) 7π/4.
Q. logx(x)=18:
Answer: A) 21/5.
Q. √4.1 approximates to:
Answer: A) 2.0.
Q. Probability Irfan picks a green toffee:
Answer: B) 8/27.
Q. Sum of series 2k³−k:
Answer: D) (2/3)×10¹⁰.
Q. Factor of f(x)=6x³−x²−4x−1:
Answer: C) (x−1) is a factor.
Q. Set S={−1,0,1}:
Answer: D) S is closed with respect to Multiplication.
Q. Additive inverse of 1/(3−i):
Answer: A) (−3+i)/10.
Q. Body moves v=50sin(πt). Value of X after 30 mins:
Answer: C) 0 km.
Q. Reduced row echelon form [1 0 0 0;0 1 0 0;0 0 1 0;0 0 0 1]:
Answer: B) Exactly one solution.
Q. Rank of matrix A:
Answer: D) Four.
CHEMISTRY
Q. Empirical formula of glucose:
Answer: B) CH₂O.
Q. Correct statement:
Answer: D) Both Options A and B are correct.
Q. Base principle of crystallization:
Answer: B) Solute soluble at high temp, crystals form on cooling.
Q. Bubbling of soda drink:
Answer: D) Decreased pressure causes gas to come out.
Q. Effect of pressure on density of gas:
Answer: C) Increase in pressure causes increase in density.
Q. Forces for liquefaction of Helium:
Answer: B) London dispersion forces.
Q. Sulphur in two forms is:
Answer: A) Allotropy.
Q. Boiling point of HF vs Water:
Answer: D) Formation of one hydrogen bond per molecule vs two.
Q. Electrons falling to n=1 in Hydrogen (Lyman series):
Answer: D) Ultra-Violet region.
Q. Structure of N₂:
Answer: D) Both options A and C are correct.
Q. Solubility of NaCl in water:
Answer: A) Hydration energy > Lattice energy.
Q. Enthalpy change (ΔH):
Answer: A) -130.10 kJ.
Q. First law of thermodynamics in cylinder:
Answer: D) All of the above.
Q. Heat applied to exothermic equilibrium:
Answer: B) Reaction moves in backward direction.
Q. NaCl not soluble in acetone because:
Answer: D) All of the above.
Q. Ethylene glycol as antifreeze:
Answer: D) All of the above.
Q. Oxidation number of S in SO₄²⁻:
Answer: A) +6.
Q. Purification of copper:
Answer: A) Impure Cu converts to ions and deposits on cathode.
Q. Purpose of two half cells:
Answer: B) Chemical reaction between solutions does not take place directly.
Q. Catalyst helps by:
Answer: D) Both Options A and B are correct.
Q. Sub-group “B” represents:
Answer: B) Transition elements.
Q. Electron added to Oxygen:
Answer: D) Both options A and C are correct.
Q. Usage of lime in agriculture:
Answer: C) For neutralizing acidic soils.
Q. Silicon atoms connected to one oxygen in Quartz:
Answer: C) 2.
Q. H₂S+NO₂→H₂O+S+NO. Here NO₂ is:
Answer: A) An oxidizing agent.
Q. HCOOH+H₂SO₄→CO+H₂O. Here H₂SO₄ is:
Answer: C) A dehydrating agent.
Q. Paramagnetic property:
Answer: D) Both A and B are correct.
Q. Hammering steel:
Answer: A) More carbon content in cutting tools makes them brittle.
Q. Alkanes less reactive than alkenes because:
Answer: D) All of the above.
Q. Property of PVC pipes:
Answer: D) Can be softened repeatedly.
ENGLISH
Q. Characteristics of female tarantulas:
Answer: B) III only.
Q. Lines 6-9 suggest female tarantula:
Answer: D) Is reclusive by nature.
Q. Word “excites” (line 29) means:
Answer: B) Stimulates.
Q. Author’s attitude:
Answer: D) Objective.
Q. Main purpose of passage:
Answer: B) Summarize known physical and social responses.
Q. Film description (64 frames/sec) conveys:
Answer: D) Quickness in attacking.
Q. Word “independent” (line 63) means:
Answer: D) Regardless.
Q. The author does all EXCEPT:
Answer: D) Pose a question.
Q. Likely next paragraph:
Answer: D) Describe how the digger wasp attacks tarantulas.
Q. The word “They” (line 63) refers to:
Answer: D) Tactile responses.
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