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)
२,५८४ 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 dropped from rest falls freely for 3 s. Taking g = 9.8 m/s², the distance fallen is:
सही उत्तर: ग) 44.1 m
s = ½gt² = 0.5 × 9.8 × 9 = 44.1 m. 29.4 m is the speed (in m/s) after 3 s, not the distance.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A projectile is fired at 45° with a speed of 20 m/s. Taking g = 10 m/s², its horizontal range is:
सही उत्तर: ख) 40 m
At 45°, R = u²/g = 400/10 = 40 m. The maximum height in this case would be u²/4g = 10 m, which should not be confused with the range.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A ball is thrown vertically upward with a speed of 20 m/s. Taking g = 10 m/s², the maximum height reached is:
सही उत्तर: घ) 20 m
Using v² = u² − 2gh with v = 0 at the top, h = u²/2g = 400/20 = 20 m. The value 40 m results from forgetting the factor 2 in the denominator.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Which of the following is a scalar quantity?
सही उत्तर: ख) Work
Work is the dot product of force and displacement, which gives a scalar. Momentum, torque and displacement all have direction and are vectors.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The function f(x) = |x| at x = 0 is:
सही उत्तर: क) continuous but not differentiable
lim(x→0)|x| = 0 = f(0), so f is continuous; but the left derivative is −1 and the right derivative is +1, so it is not differentiable. A differentiable function is always continuous, so the second option is impossible.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Which of the following is an odd function?
सही उत्तर: ख) x³ + sin x
f is odd if f(−x) = −f(x); (−x)³ + sin(−x) = −(x³ + sin x). x² + cos x and |x| are even, and eˣ is neither even nor odd.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The remainder when x³ − 2x² + 4x − 5 is divided by (x − 2) is:
सही उत्तर: ख) 3
By the remainder theorem the remainder is f(2) = 8 − 8 + 8 − 5 = 3. −5 is f(0), the constant term.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The solution set of |x − 3| < 2 is:
सही उत्तर: क) 1 < x < 5
|x − 3| < 2 means −2 < x − 3 < 2, i.e. 1 < x < 5. 'x < 1 or x > 5' is the solution of |x − 3| > 2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The probability that a randomly chosen leap year has 53 Sundays is:
सही उत्तर: घ) 2/7
A leap year has 52 weeks and 2 extra days; of the 7 equally likely pairs of extra days, 2 contain a Sunday, so P = 2/7. For a non-leap year (1 extra day) it is 1/7.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For a binomial distribution with n = 10 and p = 0.4, the variance is:
सही उत्तर: घ) 2.4
Variance = npq = 10 × 0.4 × 0.6 = 2.4. The value 4 is the mean np.
💬 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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