Sample Questions

Question 1:

Which of the following statements regarding Object-Oriented Design Principles and Web Development concepts are TRUE?

1. The Single Responsibility Principle (SRP) states that a module or class should have one, and only one, reason to change.
2. HTTP is intrinsically a stateful protocol operated at the Application Layer of the TCP/IP stack.
3. An abstract class in Object-Oriented Design cannot be directly instantiated using the 'new' operator.
4. In JavaScript, functions are first-class objects, allowing them to be assigned to variables and passed as arguments.

Question 2:

Which of the following assertions regarding Binary Search Trees (BST) and Graph Search Algorithms are correct?

1. An in-order traversal of a valid Binary Search Tree (BST) produces keys in sorted (non-decreasing) order.
2. Dijkstra's algorithm guarantees finding the shortest path on a directed weighted graph even if edge weights are negative.
3. Depth-First Search (DFS) can be utilized to detect cycles in a directed graph by tracking vertex recursion stack states.
4. The worst-case time complexity of searching for an element in an unbalanced Binary Search Tree with n nodes is O(n).

Question 3:

Which of the following statements concerning CPU Pipelining and Cache Memory Management are TRUE?

1. Data hazards in instruction pipelining occur when instructions that depend on the results of previous instructions execute concurrently.
2. Increasing cache line size monotonically decreases cache miss rate without causing block pollution or increased miss penalty.
3. In a Write-Back cache policy, memory updates occur only when a dirty cache block is evicted from the cache.
4. Spatial locality refers to the high probability that data stored near recently accessed memory addresses will be accessed soon.

Question 4:

Consider a virtual memory system with a 32-bit virtual address space and a page size of 4 KB (2¹² bytes). If a process employs a single-level page table where each Page Table Entry (PTE) requires 4 bytes, the total size of the page table for the process is ________ KB.

Question 5:

A machine learning binary classification model is tested on 200 evaluation samples. It correctly identifies 140 positive instances as positive (True Positives) and incorrectly labels 20 negative instances as positive (False Positives). The Precision metric of this classifier is ________.

Question 1:

A linear two-port network is characterized by its impedance parameters (Z-parameters) given as Z₁₁ = 12 Ω, Z₁₂ = 8 Ω, Z₂₁ = 8 Ω, and Z₂₂ = 12 Ω. Which of the following statements are correct?

1. The network is reciprocal because Z₁₂ = Z₂₁.
2. The network is symmetrical because Z₁₁ = Z₂₂.
3. If Port 2 is open-circuited (I₂ = 0), the input impedance seen at Port 1 is 12 Ω.
4. The determinant of the impedance matrix ΔZ is 160 Ω².

Question 2:

An ideal operational amplifier is connected in an inverting amplifier configuration with an input resistor R₁ = 5 kΩ and a feedback resistor R_f = 50 kΩ. The circuit is driven by a sinusoidal input voltage v_in(t) = 0.2 sin(1000t) V. Which of the following statements are correct?

1. The magnitude of the closed-loop voltage gain |A_v| is 10.
2. The non-inverting input terminal is grounded, establishing a virtual ground at the inverting input terminal.
3. The steady-state output voltage waveform is v_out(t) = -2.0 sin(1000t) V.
4. The input impedance of the amplifier circuit seen by the signal source is 50 kΩ.

Question 3:

Which of the following statements regarding a standard 3-to-8 line active-low decoder with enable inputs (such as IC 74138) are correct?

1. It decodes a 3-bit binary input code into exactly one active-low output signal.
2. It can function as a 1-to-8 demultiplexer by applying the data input to an active enable line while driving the select inputs with address lines.
3. Under normal operating conditions, all 8 output lines are simultaneously driven LOW.
4. Any 3-variable Boolean function can be implemented using a 3-to-8 active-low decoder and an external NAND gate.

Question 4:

A unity negative feedback control system has an open-loop transfer function G(s) = 25/(s(s+6)). The damping ratio (ζ) of the closed-loop control system is ____.

Question 5:

A lossless transmission line with a characteristic impedance Z₀ = 75 Ω is terminated by a purely resistive load R_L = 300 Ω. The Voltage Standing Wave Ratio (VSWR) on the transmission line is ____.

Question 1:

A thin cylindrical pressure vessel has an internal diameter of 800 mm and a wall thickness of 10 mm. It is subjected to an internal gauge pressure of 1.5 MPa. Which of the following statements are correct?

1. The circumferential (hoop) stress induced in the cylinder wall is 60 MPa.
2. The longitudinal stress induced in the cylinder wall is 30 MPa.
3. The maximum in-plane shear stress in the cylinder wall is 15 MPa.
4. The ratio of longitudinal stress to circumferential stress is 2.0.

Question 2:

A composite plane wall consists of two layers, A and B, in series without contact resistance. Layer A has a thickness of 0.05 m and thermal conductivity of 2 W/(m·K). Layer B has a thickness of 0.10 m and thermal conductivity of 1 W/(m·K). The surface area perpendicular to heat flow is 1 m². If the outer surface of Layer A is maintained at 200°C and the outer surface of Layer B is at 50°C, which of the following statements are correct under steady-state conditions?

1. The total thermal resistance of the composite wall is 0.125 K/W.
2. The steady-state heat transfer rate through the wall is 1200 W.
3. The temperature at the interface between Layer A and Layer B is 120°C.
4. The thermal resistance of Layer B is four times that of Layer A.

Question 3:

An activity in a PERT project network has an optimistic time estimate (a) of 3 days, a most likely time estimate (m) of 6 days, and a pessimistic time estimate (b) of 15 days. Which of the following statements regarding this activity are correct?

1. The expected time duration (t_e) of the activity is 7 days.
2. The standard deviation (σ) of the activity completion time is 4 days.
3. The variance (σ²) of the activity completion time is 4 days².
4. If the pessimistic time estimate increases to 21 days while other estimates remain unchanged, the expected time duration becomes 8 days.

Question 4:

A solid circular transmission shaft is simultaneously subjected to a bending moment of 300 N·m and a twisting moment (torque) of 400 N·m. According to the maximum principal stress theory of failure, the equivalent bending moment acting on the shaft is ______ N·m.

Question 5:

Water flows through a 100 m long horizontal pipe of diameter 0.1 m at an average velocity of 2 m/s. If the Darcy friction factor for the pipe is 0.02 and the acceleration due to gravity is g = 10 m/s², the head loss due to friction is ______ m.

Question 1:

Which of the following statements correctly describe the structural, physiological, and biophysical properties of eukaryotic cell organelles and membrane transport systems?

1. Mitochondria and chloroplasts contain their own circular double-stranded DNA genomes and 70S-like ribosomes, supporting their endosymbiotic evolutionary origin.
2. The plasma membrane Na⁺/K⁺-ATPase is a P-type primary active transporter that pumps 3 Na⁺ ions out of the cell and 2 K⁺ ions into the cell per ATP molecule hydrolyzed.
3. Lysosomes maintain an alkaline internal pH (pH ≈ 8.0) via ATP-dependent proton pumps to optimize the catalytic activity of lumenal acid hydrolases.
4. Carrier-mediated facilitated diffusion across biological membranes exhibits saturation kinetics (V_max) and substrate specificity without consuming metabolic ATP.

Question 2:

Regarding the allosteric regulation, kinetic properties, and metabolic pathways of glycolysis and gluconeogenesis in mammalian liver cells, which of the following statements are correct?

1. Fructose-2,6-bisphosphate acts as a potent allosteric activator of Phosphofructokinase-1 (PFK-1) and an allosteric inhibitor of Fructose-1,6-bisphosphatase (FBPase-1).
2. The conversion of pyruvate to oxaloacetate in gluconeogenesis is catalyzed by Pyruvate Carboxylase inside the mitochondrial matrix and requires biotin and ATP.
3. High intracellular concentrations of AMP and ADP allosterically inhibit Phosphofructokinase-1 (PFK-1) to slow down glycolytic flux during low cellular energy status.
4. Hexokinase IV (Glucokinase) in the liver has a significantly higher K_m for glucose (≈ 10 mM) than Hexokinase I (≈ 0.1 mM) and is not inhibited by glucose-6-phosphate.

Question 3:

Which of the following mechanistic features accurately distinguish eukaryotic protein translation and gene expression mechanisms from prokaryotic translation?

1. Prokaryotic translation can occur co-transcriptionally in the cytoplasm, whereas eukaryotic translation is physically separated from nuclear transcription.
2. The initiator tRNA in prokaryotes carries N-formylmethionine (fMet-tRNAfMet), whereas eukaryotic cytosolic translation uses unformylated methionine (Met-tRNAiMet).
3. Eukaryotic 80S ribosomes recognize the 5' 7-methylguanosine (m7G) cap of mRNA via the eIF4E subunit during initiation, whereas prokaryotic 70S ribosomes bind the Shine-Dalgarno sequence via 16S rRNA.
4. Diphtheria toxin selectively inhibits translation elongation in prokaryotes by inactivating EF-Tu, but has no effect on eukaryotic elongation factor eEF2.

Question 4:

An enzyme-catalyzed reaction obeying Michaelis-Menten kinetics has a maximum velocity (V_max) of 120 µmol·L⁻¹·min⁻¹ and a substrate concentration [S] = 3.0 mM. If the initial reaction velocity (v₀) at this substrate concentration is 90 µmol·L⁻¹·min⁻¹, the Michaelis constant (K_m) of the enzyme is _____ mM.

Question 5:

A double-stranded B-DNA fragment of length 2,000 base pairs (2 kb) contains 30% Adenine (A) bases across its total nucleotide count. According to Chargaff's rules, the total number of hydrogen bonds stabilizing this double-stranded DNA molecule is _____.

Question 1:

Consider a simply supported beam of rectangular cross-section (width b and depth d) subjected to a vertical shear force V and bending moment M. Which of the following statements are correct?

1. The maximum transverse shear stress occurs at the neutral axis and equals 1.5 times the average shear stress (V / bd).
2. At the extreme top and bottom fibers of the beam section, the transverse shear stress is zero.
3. At the neutral axis of the beam section, the principal stresses are purely shear-driven and equal in magnitude to the maximum shear stress (τ_max).
4. The flexural bending stress at the neutral axis reaches its maximum value.

Question 2:

Which of the following statements regarding effective stress, pore water pressure, and seepage phenomena in saturated soils are correct?

1. Upward seepage flow through a soil mass increases the effective stress at any given depth below the ground surface.
2. At the quicksand condition, the effective stress at the bottom of the soil column reduces to zero because upward seepage pressure balances the submerged unit weight of soil.
3. Capillary rise of water above the water table produces negative pore water pressure (suction), which increases the effective stress in soil.
4. The quicksand phenomenon is a structural shear failure that occurs primarily in coarse gravelly soils.

Question 3:

In project management and network analysis using Critical Path Method (CPM) and Program Evaluation and Review Technique (PERT), which of the following statements are correct?

1. The critical path represents the longest time path through the network diagram and determines the minimum total time required to complete the project.
2. Free float is the amount of time by which an activity can be delayed without delaying the earliest start time of any immediate successor activity.
3. Total float of a critical activity on the primary critical path is always strictly greater than zero.
4. In PERT analysis, the probability distribution of individual activity completion times is typically modeled using a Beta distribution.

Question 4:

A cantilever beam of span L = 4.0 m carries a uniformly distributed load w = 12.0 kN/m over its entire length. The flexural rigidity of the beam is EI = 8.0 × 10³ kN·m². The magnitude of the vertical deflection at the free end of the cantilever beam is _____ mm.

Question 5:

A vehicle travels at a design speed of V = 72 km/h on a level two-lane highway. The driver perception-reaction time is t_r = 2.5 seconds and the coefficient of longitudinal friction between the tires and pavement is f = 0.35. Taking acceleration due to gravity g = 9.81 m/s², the Stopping Sight Distance (SSD) required for the vehicle is _____ m.

Question 1:

A series RL circuit with resistance R = 50 Ω and inductance L = 0.2 H is connected to a 100 V DC voltage source at t = 0. Assuming initial current i(0⁻) = 0 A, which of the following statements are correct? (Select all that apply)

1. The time constant of the circuit is 4 ms.
2. The initial rate of change of current at t = 0⁺ is 500 A/s.
3. The steady-state current as t → ∞ is 2 A.
4. The voltage across the inductor at t = 0⁺ is 0 V.

Question 2:

A unity feedback control system has an open-loop transfer function:

G(s) = 25/(s(s+6)). Which of the following statements are correct regarding its closed-loop step response?

1. The undamped natural frequency (ωₙ) of the closed-loop system is 5 rad/s.
2. The damping ratio (ζ) of the system is 0.6.
3. The closed-loop poles are located at s = -3 ± j4.
4. The system is critically damped with zero overshoot.

Question 3:

An ideal DC-DC buck converter operates in continuous conduction mode (CCM) with an input voltage V_in = 48 V, a duty cycle D = 0.375, and supplies an average load current I_o = 8 A. Which of the following statements are correct?

1. The average output voltage V_o is 18 V.
2. The average input current drawn from the source is 3 A.
3. The active power delivered to the load is 144 W.
4. Increasing the duty cycle D will decrease the average output voltage V_o.

Question 4:

A 20 kVA, 2000 V / 200 V, 50 Hz single-phase transformer has a total equivalent resistance referred to the low-voltage side of R_eq2 = 0.08 Ω and an equivalent reactance of X_eq2 = 0.06 Ω. The full-load voltage regulation at a power factor of 0.8 lagging is __________ %.

Question 5:

If a 3 × 3 real matrix A has a trace equal to 12, a determinant equal to 48, and one of its eigenvalues is λ₁ = 2, then the product of the remaining two eigenvalues (λ₂ · λ₃) is __________.

Question 1:

Which of the following statements regarding the thermal destruction kinetics of microorganisms and indicator enzymes during pasteurization and commercial sterilization of liquid foods are correct?

1. Alkaline phosphatase enzyme serves as the official indicator for verifying the adequacy of High-Temperature Short-Time (HTST) pasteurization of milk because its thermal inactivation kinetics slightly exceed those of Coxiella burnetii.
2. In thermal process calculations, a lower z-value indicates that a microorganism or enzyme is less sensitive to temperature changes compared to one with a higher z-value.
3. Commercial sterilization aims to destroy all pathogenic and spoilage microorganisms capable of multiplying under normal non-refrigerated storage, but does not necessarily imply absolute destruction of all thermophilic bacterial spores.
4. The D-value of a target spore represents the thermal processing exposure time at a specific constant temperature required to achieve a 90% (1-log10) reduction in the viable microbial population.

Question 2:

Which of the following statements accurately characterize time-dependent rheological properties and power-law fluid classifications in liquid and semi-solid food systems?

1. Thixotropic food fluids (such as tomato ketchup and gelatin gels) exhibit a time-dependent decrease in apparent viscosity when subjected to a constant shear rate over time.
2. For a dilatant (shear-thickening) fluid such as concentrated starch suspension, the flow behavior index (n) in the power-law model (τ = K · γ̇ⁿ) is strictly less than 1 (n < 1).
3. Rheopectic fluid foods display a time-dependent increase in apparent viscosity when sheared at a constant rate over a period of time.
4. Concentrated fruit purees that exhibit pseudoplastic (shear-thinning) behavior have a flow behavior index (n) strictly less than 1 (n < 1) and show a continuous decrease in apparent viscosity with increasing shear rate.

Question 3:

Which of the following statements correctly describe the chemical and physical processing principles involved in edible vegetable oil refining, modification, and stabilization?

1. Winterization is a thermomechanical fractional crystallization process used to remove high-melting triacylglycerols and waxes from oils (e.g., sunflower or cottonseed oil) to prevent turbidity at refrigeration temperatures.
2. Bleaching of crude vegetable oils primarily utilizes activated bleaching earth (bentonite clay) to remove carotenoids, chlorophyll pigments, and residual soapstock via adsorption.
3. Partial hydrogenation converts liquid oils into solid fats by selectively reducing cis-double bonds, completely preventing the formation of trans-fatty acid isomers.
4. Enzymatic interesterification using position-specific lipases rearranges fatty acid positions on the glycerol backbone without producing trans-fatty acids, thereby modifying fat melting profiles.

Question 4:

Fruit juice with a specific heat capacity of 3.85 kJ/kg·°C is pumped through a continuous tubular pasteurizer at a mass flow rate of 1800 kg/h. If the juice enters the heating section at 25°C and exits at 85°C, the thermal power required by the heating section to maintain steady-state operation is ______ kW.

Question 5:

A batch of 2300 kg of raw chickpea containing 15% moisture (wet basis) is conditioned and dried down to a final moisture content of 8% (wet basis) prior to dehulling and milling. Assuming no loss of dry matter during the drying operation, the total mass of the dried chickpea batch after moisture reduction is ______ kg.

Question 1:

Identify the sentences that adhere strictly to standard English grammatical conventions and subject-verb concord:

1. Neither the principal nor the teachers were convinced by the student's explanation.
2. The committee have decided to submit its unanimous annual report yesterday.
3. Each of the participants in the competition is required to submit an original essay.
4. Between you and I, the proposed itinerary seems unnecessarily exhausting.

Question 2:

Examine the following sentences regarding passive voice transformations and modal verb usage. Which among them are Grammatically Accurate?

1. The passive voice transformation of "They are renovating the historic auditorium" is "The historic auditorium is being renovated by them."
2. "You must not enter the laboratory without protective goggles" expresses a firm obligation of prohibition.
3. The passive voice transformation of "She baked a cake yesterday" is "A cake had been baked by her yesterday."
4. In the conditional sentence "If he had studied diligently, he would have cleared the examination," an unreal past condition and its hypothetical outcome are expressed.

Question 3:

Analyze the semantic relationships and lexical classifications in the following linguistic pairs:

1. The words 'Affect' (to influence) and 'Effect' (a result) are true homographs because they share identical orthographic forms.
2. 'Lead' (to guide) and 'Lead' (a dense metallic element) are homographs because they share identical spelling but differ in pronunciation and meaning.
3. The word analogy 'Ephemeral : Eternal :: Obsolete : Contemporary' correctly reflects contrasting pairs of antonyms.
4. A 'philanthropist' is defined as a person who harbors deep-seated hatred and distrust toward humanity.

Question 4:

Which of the following idiomatic expressions are paired with their Correct figurative meanings?

1. 'To burn the candle at both ends' means to live an extraordinarily frugal and financially conservative life.
2. 'To take with a grain of salt' means to maintain healthy skepticism regarding the literal truth or accuracy of a statement.
3. 'Bite the bullet' means to face an inevitable, difficult situation with courage and fortitude.
4. 'A blessing in disguise' refers to an apparent misfortune that ultimately results in an unexpected beneficial outcome.

Question 5:

Evaluate the syntactic structure and punctuation rules applied in the following sentences:

1. In the sentence "Although the weather was stormy, the flight departed on schedule," the subordinate clause functions as a dependent adverbial clause.
2. A semicolon is primarily used to join two dependent fragments that cannot stand alone as complete grammatical thoughts.
3. The determiner 'fewer' should be used with singular, uncountable nouns like 'water', 'furniture', and 'knowledge'.
4. The sentence "Speak softly, or you will wake the baby" is a compound sentence containing two coordinate independent clauses connected by 'or'.