काठमाडौं विश्वविद्यालय KUMAT KUMAT प्रवेश परीक्षा तयारी
काठमाडौं विश्वविद्यालय KUMAT – KUMAT प्रवेश परीक्षा
KUMAT Entrance · KUMAT (BBA, BBIS)
४,३१२ प्रश्न उपलब्ध। मोड छान्नुहोस्:
व्यवस्थापन 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 cone is cut by a plane parallel to its base at half its height. What is the ratio of the volume of the small cone cut off to the volume of the remaining frustum?
सही उत्तर: ग) 1 : 7
The small cone is similar with scale ½, so its volume is (½)³ = 1/8 of the whole. The frustum is 7/8, giving 1 : 7.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The parallel sides of a trapezium are 12 cm and 20 cm. What is the length of the segment joining the midpoints of the non-parallel sides?
सही उत्तर: क) 16 cm
The mid-segment of a trapezium equals half the sum of the parallel sides: (12 + 20)/2 = 16 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the area of the largest square that can be drawn inside a circle of radius 5 cm?
सही उत्तर: ख) 50 cm²
The diagonal of the square equals the diameter, 10 cm, so area = d²/2 = 100/2 = 50 cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two chords AB and CD of a circle intersect at E inside the circle. If AE = 4 cm, EB = 6 cm and CE = 3 cm, what is ED?
सही उत्तर: घ) 8 cm
For intersecting chords AE × EB = CE × ED: 4 × 6 = 3 × ED, so ED = 8 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In triangle ABC, AB = 7 cm, AC = 9 cm and BC = 8 cm. What is the length of the median from A to BC?
सही उत्तर: घ) 7 cm
By Apollonius' theorem, m² = (2·AB² + 2·AC² − BC²)/4 = (98 + 162 − 64)/4 = 49, so m = 7 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A sphere fits exactly inside a cylinder, touching its sides, top and bottom. What is the ratio of the volume of the sphere to that of the cylinder?
सही उत्तर: ख) 2 : 3
Cylinder: radius r, height 2r, volume 2πr³. Sphere: (4/3)πr³. Ratio = (4/3) : 2 = 2 : 3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Question: What is Ram's monthly income? Statement I: He spends 80% of his income. Statement II: He saves Rs. 6,000 more than his brother. Which is correct?
सही उत्तर: घ) Statements I and II together are not sufficient
Even together, the brother's saving is unknown, so Ram's saving and hence his income cannot be found.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Question: What is the value of x + y? Statement I: 2x + 3y = 12. Statement II: 4x + 6y = 24. Which is correct?
सही उत्तर: घ) Statements I and II together are not sufficient
Statement II is just statement I multiplied by 2, so together they are one equation; x + y can take many values (e.g. x = 6, y = 0 or x = 0, y = 4).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Question: What is the length of the diagonal of a rectangle? Statement I: Its perimeter is 28 cm. Statement II: Its length is 8 cm and its breadth is 6 cm. Which is correct?
सही उत्तर: ख) Statement II alone is sufficient, but statement I alone is not
II gives diagonal = √(64 + 36) = 10 cm. I alone allows many rectangles with different diagonals.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Question: What is the cost price of an article? Statement I: The profit on it is Rs. 240. Statement II: It is sold for Rs. 1,200 and the profit is 20% of the selling price. Which is correct?
सही उत्तर: ख) Statement II alone is sufficient, but statement I alone is not
II: profit = 240, so CP = 1,200 − 240 = Rs. 960. I alone gives no selling or cost price.
💬 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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