गणित – Mathematics MCQ
गणित – डिप्लोमा प्रवेश
Mathematics · CTEVT Diploma Engineering Entrance · ७५१ प्रश्न
७५१ प्रश्न उपलब्ध। मोड छान्नुहोस्:
गणित: 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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When an observer looks at an object above the horizontal line through the eye, the angle formed is called the:
सही उत्तर: क) Angle of elevation
Looking up at an object forms an angle of elevation with the horizontal. Looking down at an object forms an angle of depression.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In a right-angled triangle, tan θ is defined as:
सही उत्तर: ख) Perpendicular / Base
tan θ = opposite (perpendicular) ÷ adjacent (base). Perpendicular/Hypotenuse is sin θ and Base/Hypotenuse is cos θ.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The value of tan 45° is:
सही उत्तर: ग) 1
In a right isosceles triangle the opposite and adjacent sides are equal, so tan 45° = 1. tan 60° = √3 and tan 30° = 1/√3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The slant height l of a cone with radius r and vertical height h is given by:
सही उत्तर: क) l = √(r² + h²)
The radius, height and slant height form a right-angled triangle with l as the hypotenuse. So by Pythagoras' theorem, l² = r² + h².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The volume of a prism is:
सही उत्तर: क) Area of cross-section × length
A prism has the same cross-section along its whole length, so volume = area of cross-section × length. Perimeter × length gives the lateral surface area.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The volume of a sphere of radius r is:
सही उत्तर: ख) 4/3 πr³
Volume of a sphere = 4/3 πr³. ⅔πr³ is the volume of a hemisphere, which is half a sphere.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The surface area of a sphere of radius r is:
सही उत्तर: ग) 4πr²
Surface area of a sphere = 4πr². 4/3 πr³ is its volume, and 3πr² is the total surface area of a solid hemisphere.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The volume of a cone of radius r and height h is:
सही उत्तर: घ) ⅓πr²h
A cone has one-third the volume of a cylinder with the same base and height. πrl is the curved surface area of a cone.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The volume of a cylinder of radius r and height h is:
सही उत्तर: घ) πr²h
Volume = base area × height = πr²h. 2πrh is the curved surface area and ⅓πr²h is the volume of a cone.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The total surface area of a cube of side a is:
सही उत्तर: क) 6a²
A cube has 6 square faces, each of area a², so the total surface area is 6a². a³ is its volume and 12a is the total length of its edges.
💬 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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