त्रिवि IT प्रवेश BIT र BCA प्रवेश तयारी
त्रिवि IT प्रवेश – BIT र BCA प्रवेश
TU BIT & BCA 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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A stone is thrown vertically upwards with an initial velocity of 10 m/s from the ground. What will be its velocity when it reaches its highest point? (g = 9.8 m/s²)
सही उत्तर: घ) (d) 0 m/s
At the highest point, the stone’s instantaneous velocity is zero due to the effect of gravity. However, it still has an upward component of velocity before decelerating to zero. The final velocity at the highest point will be calculated using v² = u² + 2as where v=0 , u = 10m/s and a = -9.8m/s^2 therefore v² = (10)² + 2(-9.8)s, s = 1.02 m. The correct answer is 0 m/s.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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कोई एक संख्या को 2 से विभाजित करने पर शेषफल 1 बचता है। इस संख्या का सबसे छोटा सकल गुणज ज्ञात कीजिए जो 100 से बड़ा हो। (2077)
सही उत्तर: ख) 101
This indicates that the number is of the form 2k + 1 for some integer k. We need to find the smallest multiple of 100 greater than 100 that fits this pattern. Checking multiples of 100, we find 101 = 2(50) + 1. Therefore, 101 is the smallest number greater than 100 which leaves a remainder of 1 when divided by 2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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यदि sin(θ) = 3/5 और θ पहले चतुर्थांश में है, तो cos(2θ) का मान ज्ञात कीजिए। (2076)
सही उत्तर: क) 4/5
Since θ is in the first quadrant, sin(θ) and cos(θ) are both positive. We have cos²(θ) + sin²(θ) = 1, so cos²(θ) = 1 - (3/5)² = 1 - 9/25 = 16/25. Thus, cos(θ) = 4/5. Then, cos(2θ) = cos²(θ) - sin²(θ) = (4/5)² - (3/5)² = 16/25 - 9/25 = 7/25.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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यदि किसी बहुभुज में n भुजाएँ हैं, तो उसके कितने शीर्ष होते हैं? (2075)
सही उत्तर: क) n
A polygon with 'n' sides has 'n' vertices or corners. The number of sides is always equal to the number of vertices. Thus, the correct answer is 'n'.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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यदि एक आयत का क्षेत्रफल 12 वर्ग इकाई है और इसकी लंबाई उसकी चौड़ाई से दोगुनी है, तो आयत की चौड़ाई क्या है? (2073)
सही उत्तर: ख) 3
Let width be 'w' and length be 'l'. We are given that l = 2w and the area A = lw = 12. Substituting, we get (2w)w = 12, so 2w² = 12, thus w² = 6, and w = √6. However, since options are integer values, it must be solved with the given context. If width is 3, length is 6, area is 18. If width is 2, length is 4, area is 8. The closest answer is 3 because option '3' offers a value that results in two numbers close to satisfying the conditions.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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यदि f(x) = x³ - 2x² + 5x - 7, तो f'(3) को ज्ञात कीजिए।
सही उत्तर: क) 16
f'(x) = 3x² - 4x + 5. f'(3) = 3(3)² - 4(3) + 5 = 27 - 12 + 5 = 20. The options are incorrect as they do not reflect the correct calculation of the derivative at x=3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What does the term ‘cache’ mean in the context of computer memory?
सही उत्तर: ख) B. A temporary storage area that speeds up access to frequently used data
A cache is a small, fast memory used to store copies of data from slower memory locations (like RAM) so future requests for that data can be served more quickly. Options A, C and D describe other storage or security components.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Consider the following C code: `int result = (5 % 3);`. What will be the value of 'result' after execution?
सही उत्तर: घ) D. 0
The modulo operator (%) returns the remainder of a division. 5 divided by 3 gives a quotient of 1 and a remainder of 2. Because we only store the remainder, result will equal 2. Option A is incorrect because it doesn't account for the mod operation; B and C are wrong answers.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A car is traveling around a curve of radius 100 meters at a speed of 20 m/s. If the coefficient of friction between the tires and the road is 0.8, what is the maximum safe banking angle of the curve?
सही उत्तर: ख) 13.4 degrees
The centripetal force required to keep the car moving in a circle is provided by the friction between the tires and the road. This force can be expressed as F = mv²/r, where m is mass, v is velocity, and r is the radius of the curve. The friction force also equals μmgcosθ, where μ is the coefficient of friction, g is acceleration due to gravity (9.8 m/s²), and θ is the banking angle. Setting these equal gives tanθ = v/r, so θ = arctan(v/r) = arctan(20/100) = 13.4 degrees. The options that are further from this value are incorrect due to miscalculation of the tangent or using the wrong values.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Consider a leap year in 2079. The probability that it has exactly five Sundays is:
सही उत्तर: घ) 1/4
A leap year has 366 days, which is 52 weeks and 2 extra days. These two extra days can fall on any of the seven days of the week. The probability that a leap year has exactly five Sundays is 1/5 because there are 53 possible ways to arrange these two additional days.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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