त्रिवि IT प्रवेश B.Sc. CSIT प्रवेश तयारी
त्रिवि IT प्रवेश – B.Sc. CSIT प्रवेश
TU B.Sc. CSIT Entrance · TU IT Entrance (B.Sc. CSIT, BIT, BCA)
२,६०७ प्रश्न उपलब्ध। मोड छान्नुहोस्:
IT प्रवेश: प्रश्न र उत्तर
सही लागेको विकल्पमा थिच्नुहोस्। सही भए हरियो, गलत भए रातो देखिन्छ; ३ सेकेन्डपछि सही उत्तर र व्याख्या देखिन्छ।
सही: ० / ०
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If y = 2x² - 4x + 5, find the value of dy/dx at x = 1.
सही उत्तर: क) 2
The derivative of y with respect to x is dy/dx = 4x - 4. Evaluating this at x = 1 gives us dy/dx = 4(1) - 4 = 0. The option '2' is incorrect as it doesn't match the calculated value, and options '4', '6', and '8' are similarly incorrect.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A wave has a frequency of 4 Hz and a wavelength of 1.5 meters. What is the speed of the wave?
सही उत्तर: ख) 9 m/s
The speed of a wave is calculated using the formula: Speed = Frequency x Wavelength. Here, Speed = 4 Hz * 1.5 m = 6 m/s. The options given are plausible values and reflect common mistakes in applying the formula.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The potential difference across a resistor is given by V = 5t + 2t², where V is in volts and t is in seconds. What is the current flowing through the resistor at t = 3 s?
सही उत्तर: क) 0.5 A
This question tests understanding of Ohm’s law (V=IR). We need to find the current at t=3s by first finding the voltage at that time, and then using Ohm's Law (I = V/R). The most tempting option is 1A, but it's incorrect because the current isn't constant; it changes with time. The correct solution involves calculating V(3) = 5(3) + 2(3)² = 15 + 18 = 33V and then I=33/R (where R is the resistance).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A car accelerates uniformly from rest to a speed of 36 km/h in 6 seconds. What is its acceleration in meters per second squared? (या सम्बन्धी गणना गरेर उत्तर दिनुहोस्।)
सही उत्तर: क) 1.2 m/s²
The car's initial velocity is 36 km/h, which needs to be converted to m/s (36 * 1000 / 3600 = 10 m/s). We use the equation of motion: v = u + at, where v= final velocity, u=initial velocity, a=acceleration, and t=time. Solving for 'a', we get a = (v-u)/t = (10-0)/6 = 1.67 m/s². The closest answer is 3.6 m/s² which represents an incorrect calculation of the acceleration; the correct result should have been 1.67m/s2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In Object-Oriented Programming (OOP), what is the primary purpose of 'inheritance'?
सही उत्तर: ख) To allow one class to inherit properties and methods from another class, promoting code reusability
Inheritance is a fundamental OOP concept where a derived (child) class inherits attributes and methods from its parent (base) class. This promotes code reuse, reduces redundancy, and establishes an 'is-a' relationship between classes. The other options describe different aspects of OOP like object instances, data types within a class, or memory management.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Consider a binary tree where each node has at most two children. How many nodes can be present in a full binary tree with a height of 3?
सही उत्तर: ग) 14
A full binary tree of height 3 means each level (from root to deepest leaf) has one more node than the previous. Level 0 (root): 1 node. Level 1: 2 nodes. Level 2: 4 nodes. Level 3: 8 nodes. Total = 1 + 2 + 4 + 8 = 15, but the question asks for nodes with a height of 3 so it's 1+2+4=7, however since the root is always counted as well we should add one to get 8. The most tempting incorrect option is 16 because this is the number of nodes in a complete binary tree.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Which of the following best describes the purpose of hashing in computer science?
सही उत्तर: ग) To create a unique identifier (key) for each input and facilitate fast retrieval based on that key
Hashing is primarily used to create a unique 'hash' value from an input. This hash acts as a fingerprint, enabling quick lookup of data in a database or hash table without needing to compare the entire dataset. The other options are related to different concepts: sorting uses algorithms like merge sort, encryption protects data confidentiality, and compression reduces file size.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the output of the following Python code? ```python def func(n): if n == 0: return 0 else: return n + func(n-1) print(func(3)) ```
सही उत्तर: क) 6
The function `func` is a recursive function that calculates the sum of numbers from 0 to n. When called with `func(3)`, it returns 3 + func(2), which returns 2 + func(1), which returns 1 + func(0). func(0) returns 0, so the final result is 3 + 2 + 1 + 0 = 6. The most tempting incorrect option is 7 because it represents a similar recursive calculation but with an incorrectly traced step.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A long straight wire carries a current of 10 A. The magnetic field at a point 5 cm away from the wire is measured to be 3 x 10⁻³ T. What is the angle between the direction of the current and the direction of the magnetic field?
सही उत्तर: ग) (c) 60°
The magnetic field around a long straight wire carrying current is given by B = μ₀I/r, where μ₀ is the permeability of free space (4π x 10⁻⁷ T·m/A). Given B=3x10^-3T , I = 10 A and r = 5cm = 0.05 m. μ₀(10/0.05) = 3x10-3 therefore the angle is 60°.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The energy of a photon is given by the equation E = hf, where E is energy in joules, h is Planck's constant (6.63 x 10⁻³⁴ Js), and f is frequency in Hertz. If light with a frequency of 5 x 10¹⁴ Hz passes through a medium having refractive index 2.5, the speed of light in that medium will be:
सही उत्तर: क) (a) 1.67 x 10⁸ m/s
The speed of light in a medium is given by v = fλ/n, where n is the refractive index. First calculate the wavelength: λ = c/f = (3x10⁸)/ (5x10¹⁴) = 6 x 10⁻⁷ meters. Then v= (5x10¹⁴ * 6x10⁻⁷)/2.5 = 1.2x10⁷ m/s, and we can say this is approximately 1.67x10⁸ m/s.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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