त्रिवि CMAT CMAT प्रवेश परीक्षा तयारी
त्रिवि CMAT – CMAT प्रवेश परीक्षा
TU CMAT Entrance · TU CMAT (BBA, BIM, BBM, BHM, BTTM, BPA)
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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The length of the shadow of a vertical pole is √3 times the height of the pole. What is the angle of elevation of the sun?
सही उत्तर: ख) 30°
tan θ = height/shadow = 1/√3, so θ = 30°.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A goat is tied to one corner of a square field of side 20 m with a rope 7 m long. Over what area of the field can it graze? (Take π = 22/7)
सही उत्तर: ग) 38.5 m²
The goat sweeps a quarter-circle of radius 7 m inside the field: ¼ × 22/7 × 7² = 38.5 m².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A sector of a circle of radius 14 cm has an arc length of 22 cm. What is the area of the sector?
सही उत्तर: ख) 154 cm²
Area of a sector = ½ × arc length × radius = ½ × 22 × 14 = 154 cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A quadrilateral has a diagonal of 20 cm, and the perpendiculars to it from the other two vertices are 6 cm and 8 cm long. What is its area?
सही उत्तर: ग) 140 cm²
Area = ½ × diagonal × (sum of offsets) = ½ × 20 × (6 + 8) = 140 cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A straight line has slope √3. What angle does it make with the positive x-axis?
सही उत्तर: क) 60°
Slope = tan θ = √3, so θ = 60°.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the equation of the perpendicular bisector of the segment joining (1, 2) and (3, 4)?
सही उत्तर: क) x + y = 5
Midpoint (2, 3); the segment's slope is 1, so the bisector's slope is −1: y − 3 = −(x − 2), i.e. x + y = 5.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The radius of a cylinder is increased by 10% and its height is decreased by 10%. What is the change in its volume?
सही उत्तर: ग) 8.9% increase
V ∝ r²h, so the new volume is 1.1² × 0.9 = 1.089 times the old: an increase of 8.9%.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the volume of a pyramid with a square base of side 6 cm and a vertical height of 10 cm?
सही उत्तर: क) 120 cm³
Volume = ⅓ × base area × height = ⅓ × 36 × 10 = 120 cm³.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The parallel sides of an isosceles trapezium are 20 cm and 10 cm and each non-parallel side is 13 cm. What is its area?
सही उत्तर: ग) 180 cm²
Each slanting side covers a horizontal distance of (20 − 10)/2 = 5 cm, so the height is √(13² − 5²) = 12 cm; area = ½(20 + 10) × 12 = 180 cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two circles of radii 5 cm and 3 cm have their centres 10 cm apart. What is the length of a transverse (internal) common tangent?
सही उत्तर: ख) 6 cm
Transverse common tangent = √(d² − (r₁ + r₂)²) = √(100 − 64) = 6 cm.
💬 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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