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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A circle is inscribed in a square and another circle passes through the square's four corners. What is the ratio of the area of the smaller circle to that of the larger?
सही उत्तर: ग) 1 : 2
With side s, the radii are s/2 and s/√2; areas are in the ratio (1/4) : (1/2) = 1 : 2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the exact value of tan 15°?
सही उत्तर: ख) 2 − √3
tan(45° − 30°) = (1 − 1/√3)/(1 + 1/√3) = (√3 − 1)/(√3 + 1) = 2 − √3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For angles where it is defined, what is the value of (1 − sin²θ) sec²θ?
सही उत्तर: घ) 1
1 − sin²θ = cos²θ and cos²θ × sec²θ = 1.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Where is the orthocentre of the triangle with vertices (0, 0), (4, 0) and (0, 3)?
सही उत्तर: क) (0, 0)
The triangle is right-angled at the origin, and the orthocentre of a right triangle is the right-angle vertex.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the equation of the line through (2, 1) that is parallel to 2x + 3y = 5?
सही उत्तर: ख) 2x + 3y = 7
A parallel line has the form 2x + 3y = k; substituting (2, 1) gives k = 7.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A rectangular sheet 44 cm × 20 cm is rolled along its length to form an open cylinder of height 20 cm. What is the cylinder's volume? (Take π = 22/7)
सही उत्तर: ग) 3,080 cm³
Circumference 44 = 2πr gives r = 7 cm; volume = (22/7) × 49 × 20 = 3,080 cm³.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A hemispherical bowl of internal radius 9 cm is full of liquid, which is poured into cylindrical bottles of radius 1.5 cm and height 4 cm. How many bottles are needed?
सही उत्तर: घ) 54
Bowl = (2/3)π·9³ = 486π; one bottle = π·1.5²·4 = 9π; 486π ÷ 9π = 54.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the ratio of the area of the circumcircle to the area of the incircle of an equilateral triangle?
सही उत्तर: ग) 4 : 1
In an equilateral triangle the circumradius is twice the inradius, so the areas are in the ratio 2² : 1 = 4 : 1.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the area of the circle inscribed in an equilateral triangle of side 6√3 cm?
सही उत्तर: ख) 9π cm²
Inradius = side/(2√3) = 6√3/(2√3) = 3 cm, so area = 9π cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If every edge of a cube is increased by 10%, by what percentage does its volume increase?
सही उत्तर: क) 33.1%
Volume factor = 1.1³ = 1.331, an increase of 33.1%.
💬 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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