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PHYSICS
Q. A 500kg rocket travels in deep space at a constant speed of 300m/s. Power produced is:
Answer: D) 0 W
Q. Shell fired at 45° with 100 m/sec. It will hit ground after:
Answer: B) 14.1 seconds
Q. Average speed from velocity-time graph (assuming typical graph values):
Answer: B) 15 m/sec
Q. Lift moves ground to 10th floor. Scale reading (30kg) will:
Answer: D) First increase, become constant for some time and then decrease
Q. 1000kg truck pulls 500kg car at 10m/s. Rope breaks, truck goes to 13m/s. Car speed:
Answer: D) 4 m/sec in the same direction
Q. In an elastic collision, the following is conserved:
Answer: B) Kinetic energy and momentum.
Q. Water falling from tap, cross-sectional area decreases due to:
Answer: C) Continuity equation
Q. Orbital speed of 200kg satellite in same orbit as 100kg satellite (speed $v$):
Answer: A) $v$ km/hour
Q. Interference occurs in:
Answer: C) All types of waves.
Q. Density of Oxygen is 16 times Hydrogen. If speed in Oxygen is $x$, in Hydrogen it is:
Answer: A) Greater than $x$
Q. Apparent frequency heard by car driver:
Answer: A) Greater than 2 KHz
Q. Young’s double slit experiment studies interference of:
Answer: D) Visible light.
Q. Need 2.5 k$\Omega$ from 20 k$\Omega$ resistors:
Answer: C) Eight 20 k$\Omega$ in parallel
Q. Need 150nF from 15nF capacitors:
Answer: B) 10 capacitors in parallel
Q. Voltage across 2mH inductor ($i = 2 \sin 100t$):
Answer: C) 400 cos 100t mv
Q. Device not using electromagnetic waves:
Answer: A) Ultra-sound machine
Q. Transistor cannot be used as:
Answer: C) Power source.
Q. Truck (1000kg) + Load (500kg), Power 2500W, Time 1 min. Height:
Answer: D) 100m
Q. Thermistor with positive temperature coefficient. Temp increases, resistance:
Answer: C) Increases.
Q. Max energy of photoelectrons depends on:
Answer: B) Wavelength of light
Q. Truth table (0,0->0; 0,1->1; 1,0->1; 1,1->1):
Answer: C) OR gate.
Q. In frequency modulation (FM), frequency changes in proportion to:
Answer: A) The amplitude of the modulating signal.
Q. Transformer: Input 200V, 2A. Output power:
Answer: C) 440 watts
Q. Heisenberg’s uncertainty principle measurement:
Answer: A) Both position and momentum.
Q. Throw ball downward, acceleration immediately after leaving hand:
Answer: A) 9.8 m/sec²
MATHEMATICS
Q. Solution to $(x-2) < (3-2x)$:
Answer: D) $x < \frac{5}{3}$
Q. Gradient (Slope) of $y = 2x^2 – 4x$ at $x=3$:
Answer: D) 8
Q. AP: $a=12$, $a_5=18$. Sum of 25 terms:
Answer: C) 750
Q. GP: 144, $x$, 64. Sum to infinity:
Answer: D) 432
Q. $2\sin x \tan x = 3$ for 0-360°:
Answer: C) 60° or 300°.
Q. Matrix $A$ and $A+A^T$ constant:
Answer: C) +1 and +2.
Q. Determinant of A:
Answer: D) 25.
Q. Given $x = \cos \theta$, then $\sin \theta$ is:
Answer: C) $\sqrt{1-x^2}$.
Q. Matrix $A$ if $A^2 = \dots$:
Answer: B) $8I$
Q. If $4x^2 + kx + 25 = (2x+n)^2$, then $k-n$ is:
Answer: C) 15
CHEMISTRY
Q. More than one crystalline form of an element:
Answer: C) Allotropy.
Q. Alkaline battery anode, cathode, electrolyte:
Answer: A) Zinc, Manganese dioxide, Potassium hydroxide.
Q. Lead acid batteries discharge due to:
Answer: C) Both A and B
Q. Smallest part of a crystal lattice:
Answer: C) A unit cell.
Q. All axes equal, none of the angles is 90°:
Answer: D) Rhombohedral.
Q. Correct electronic configuration of Nitrogen (7):
Answer: B) $1s^2, 2s^2, 2p_x^1, 2p_y^1, 2p_z^1$.
Q. Ethanol converted to methylated spirit by adding:
Answer: A) 10% methanol and a little acetone.
Q. Steel manufactured by open hearth process from:
Answer: B) Cast iron.
Q. Not used to disinfect water / Fertilizer:
Answer: Fertilizer: A) Ozone
Q. Acetaldehyde prepared by oxidizing:
Answer: B) Ethyl alcohol.
Q. 29 grams of NaCl is equivalent to:
Answer: A) 0.5 moles
Q. Benzene is stable because of:
Answer: A) Delocalization of the electron cloud.
Q. When water freezes, it occupies:
Answer: A) 9% more space.
Q. At Murree Hills, water boils at about:
Answer: C) 98°C
ENGLISH
Q. Constraints in engineering design:
Answer: A) May include available resources…
Q. Specifications for the limits:
Answer: D) Both of the two operations.
Q. Engineers are different because:
Answer: A) They have to identify, understand and interpret constraints…
Q. Engineering curriculum must:
Answer: C) Include subjects of mathematics, logic and economics.
Q. Most important aspect in design:
Answer: A) To ensure no unintended harm to the public.
Q. Forensic engineering help:
Answer: D) All of the above.
Q. Multiple solutions exist, so engineers:
Answer: D) Must evaluate different choices on merits…
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