IT प्रवेश – B.Sc. CSIT, BIT, BCA
IT प्रवेश – B.Sc. CSIT, BIT, BCA
IT Entrance – B.Sc. CSIT, BIT & BCA · २,६०७ प्रश्न
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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According to Newton’s law of cooling, the rate at which the temperature of an object decreases is proportional to the difference between its temperature and the surrounding temperature. In 2075, a cup of coffee initially at 90°C is placed in a room at 25°C. After 15 minutes, the coffee’s temperature is 75°C. What is the rate constant for this cooling process (in K/min)?
सही उत्तर: क) A) 0.33 K/min
We use Newton’s Law of Cooling: dT/dt = k(T - T_room). We know dT/dt = (75-90)/(15 min) = -15/15 = -1 K/min. Therefore, k = 1/(-1) = 1 K/min. Option B provides a value closer to the correct solution.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The potential energy of a particle executing simple harmonic motion is given by $U = rac{1}{2} kx^2$, where $k$ is the spring constant. If the spring constant is increased to $2k$, what happens to the potential energy?
सही उत्तर: ख) B) The potential energy doubles
The potential energy is directly proportional to the square of the displacement, i.e., $U ∝ x^2$. If $k$ doubles, then the potential energy also doubles. Option C and D are incorrect because they involve calculating a factor related to the square root of 2 which isn't relevant in this scenario.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A stone is thrown vertically upwards with an initial velocity of 20 m/s. Ignoring air resistance, what is its maximum height reached? (गुरुत्वाकर्षण बललाई बेवास्था गरी, यदि कुनै ढुङ्गा 20 मिटर प्रति सेकन्डको सुरु वेगले अगाडि थपेर आकाशमाथि फırl्याइए, तर वायु प्रतिरोधलाई बेवास्था गर्दा यसले अधिकतम कुन उचाइ पुग्ने?
सही उत्तर: क) 4.9 m
The maximum height is reached when the final velocity is 0 m/s. Using kinematic equations (v² = u² + 2as), we can solve for 's' which represents the maximum height. The tempting answer of 17.1m is incorrect because it uses a different calculation, and 34.2 m is also unrealistic.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The sum of the first four terms of the series 2 + 4 + 6 + 8 + ... is:
सही उत्तर: ख) 20
This is an arithmetic progression with a = 2 and d = 2. The sum of the first n terms of an arithmetic progression is given by S_n = (n/2)(2a + (n-1)d). For n=4, S_4 = (4/2)(2(2) + (4-1)2) = 2(4+6) = 2(10) = 20. The other options are wrong as they do not follow the arithmetic sequence
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A circle has a radius of 5 units. If a chord subtends an angle of π/6 (30°) at the center, what is the length of the chord?
सही उत्तर: ग) 10
The law of cosines states: c² = r² + r² - 2r²cosθ. Here, c is the chord length, r=5, and θ = π/6. Therefore, c² = 5² + 5² - 2(5)(5)cos(π/6) = 50 - 50(√3)/2 = 50 - 25√3. c = √(50 - 25√3). Option B is closest to the correct answer by approximating √3 as 1.732, but is not precise.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If f(x) = x³ - 6x² + 9x - 5, what is the value of f(3)?
सही उत्तर: क) 18
f(3) = (3)³ - 6(3)² + 9(3) - 5 = 27 - 54 + 27 - 5 = -5. The other options are incorrect because they do not result in this calculation.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Let X be a discrete random variable with probability mass function P(X = x) given by: P(X = 0) = 0.3, P(X = 1) = 0.4, P(X = 2) = 0.3. What is the expected value of X? (2080)
सही उत्तर: क) 1. 1
The expected value E(X) is calculated as Σ [x * P(X = x)]. Therefore, E(X) = (0 * 0.3) + (1 * 0.4) + (2 * 0.3) = 0 + 0.4 + 0.6 = 1. The other options are incorrect calculations of the expected value based on the given probability distribution.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A line passes through the point (1, 2) and is perpendicular to the line 2x + y = 5. What is the slope of this new line? (2078)
सही उत्तर: क) 1. -2
The given line has a slope of -2. The slope of a perpendicular line is the negative reciprocal, which is 1/2. Other options are incorrect because they do not calculate this critical relationship between slopes.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If sin(θ) = 0.5, what is the value of θ in radians? (2076)
सही उत्तर: क) 1. π/6
We know that sin(π/6) = 1/2. Since sin(θ) = 0.5, θ must equal π/6. The other options represent different angles whose sine values are not equal to 0.5.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Find the maximum value of the quadratic function f(x) = 3x² - 6x + 5.
सही उत्तर: क) 1. 2
The vertex of a parabola in the form ax² + bx + c is at x = -b/2a. For this function, x = -(-6)/(2*3) = 1. Plugging x=1 back into f(x), we get f(1) = 3(1)² - 6(1) + 5 = 3 - 6 + 5 = 2. The other options result from incorrect calculations of the vertex or the function's value at different points.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
यी अभ्यास प्रश्न हुन्, आधिकारिक प्रश्न होइनन्। पाठ्यक्रम, विज्ञापन र नतिजाका लागि सम्बन्धित निकायको आधिकारिक वेबसाइट हेर्नुहोस्। उत्तरमा गल्ती भेटे प्रश्नमुनिको "टिप्पणी / गल्ती रिपोर्ट" मा लेख्नुहोस्।
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