IT प्रवेश – B.Sc. CSIT, BIT, BCA
IT प्रवेश – B.Sc. CSIT, BIT, BCA
IT Entrance – B.Sc. CSIT, BIT & BCA · २,५५० प्रश्न
२,५५० 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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Find the derivative of y = x³ + 2x² - 5x + 7.
सही उत्तर: क) 3x² + 4x - 5
The derivative of y with respect to x is found by applying the power rule: d/dx (xⁿ) = nxⁿ⁻¹ . Therefore, the derivative is 3x² + 4x - 5. Option '3' is a common mistake, incorrectly using the entire expression without differentiating each term.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If the mean of a set of numbers is 4 and one number is 6, what is the mean of the remaining numbers?
सही उत्तर: क) 2
The mean of a set of numbers is calculated by summing all the numbers and dividing by the total count of numbers. Let the sum of the other numbers be 'S'. Then, (S + 6)/ (n+1) = 4, where n is the initial number of elements in the set. Therefore, S = 4(n+1)-6. The most tempting incorrect answer (3) implies a direct proportional relationship that isn’t necessarily true given only one data point.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the result of the following expression in Python: 10 % 3?
सही उत्तर: क) 2
The modulo operator (%) returns the remainder of a division. 10 divided by 3 gives a quotient of 3 and a remainder of 1. Therefore, 10 % 3 = 1.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Consider a table 'Students' with columns 'StudentID', 'Name', and 'Major'. If you want to retrieve all rows from this table, which SQL query would be most appropriate?
सही उत्तर: क) SELECT * FROM Students
The `SELECT * FROM Students` statement retrieves all columns (*) and all rows from the ‘Students’ table. The other options only select specific columns or a subset of the data.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In Young’s double-slit experiment with λ = 600 nm, d = 1 mm and D = 1 m, what is the fringe width (Δy) between successive bright fringes?
सही उत्तर: ग) 1.5 x 10⁻⁴m
The fringe width in Young's double-slit experiment is given by Δy = (λD)/d. Substituting the values gives Δy = (600 x 10⁻⁹ m)(1 m)/(1 x 10⁻³ m) = 6 x 10⁻⁵ meters.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The fundamental frequency of an organ pipe of length L closed at one end is given by f = v/(2L), where 'v' is the speed of sound. What value does ‘v’ represent in this formula?
सही उत्तर: ग) The speed of sound through the air column
This formula derives from the standing wave principle within a closed organ pipe. 'v' represents the speed at which the sound waves propagate through the air column (the medium) within the pipe.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Lenz's law describes the direction of induced current in a circuit due to a changing magnetic field. This law states that the induced current flows in such a way as to oppose the *change* that produced it. The correct option would be:
सही उत्तर: क) The force exerted by the magnetic field on the conductor
Lenz's law is fundamentally about conservation of energy. The induced EMF and current create a magnetic field that opposes the change in flux causing them; hence the opposing direction. The other options represent different aspects of electromagnetism but don’t encapsulate this core principle.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If a triangle has sides of length 5, 12 and 13, what is the cosine of the largest angle?
सही उत्तर: ख) 1
The largest angle is opposite the longest side (13). This triangle is a right-angled triangle since 5² + 12² = 13². Therefore, the cosine of the largest angle is adjacent side / hypotenuse = 12/13.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Find the number of distinct solutions to the equation x⁴ - 5x² + 4 = 0.
सही उत्तर: ग) 3
This is a quadratic equation in terms of x². Let y = x², then we have y² - 5y + 4 = 0. Factoring this gives (y-1)(y-4) = 0, so y=1 or y=4. Therefore, x² = 1 or x² = 4, giving x = ±1 or x = ±2. The correct answer is 4.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Which of the following describes the concept of 'bitwise' operations?
सही उत्तर: ख) B. Operations performed on individual bits within a data type.
Bitwise operations (AND, OR, XOR, NOT) manipulate individual bits of an integer value. This is distinct from general numerical calculations or algorithm design; option D describes a more complex programming approach.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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