Quantitative (गणित) – Quantitative Ability MCQ
Quantitative (गणित) – व्यवस्थापन प्रवेश
Quantitative Ability · Management Entrance – English, Quant, Logical Reasoning & GK · १,३१७ प्रश्न
१,३१७ प्रश्न उपलब्ध। मोड छान्नुहोस्:
Quantitative (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
-
What is the ratio of the volume of a cube to the volume of the sphere inscribed in it?
सही उत्तर: ग) 6 : π
With edge a, sphere radius a/2: (4/3)π(a/2)³ = πa³/6, so cube : sphere = a³ : πa³/6 = 6 : π.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
-
A cone has the same base radius as a sphere of radius 6 cm and the same volume. What is the height of the cone?
सही उत्तर: क) 24 cm
(1/3)π·36·h = (4/3)π·216 gives 12h = 288, so h = 24 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
-
How many cubes of edge 3 cm can be cut from a solid cuboid measuring 9 cm × 12 cm × 15 cm?
सही उत्तर: ख) 60
(9/3) × (12/3) × (15/3) = 3 × 4 × 5 = 60 cubes.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
-
In an equilateral triangle of side 14 cm, sectors of radius 7 cm are drawn with centres at the three vertices. What is the area of the triangle not covered by the sectors? (Take π = 22/7 and √3 = 1.732)
सही उत्तर: घ) About 7.87 cm²
Triangle = 49√3 ≈ 84.87 cm²; three 60° sectors make a half circle = (1/2)(22/7)(49) = 77 cm²; 84.87 − 77 ≈ 7.87 cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
-
A 10 m tall bamboo breaks at some height and its top touches the ground 4 m from the foot, the lower part remaining vertical. At what height did it break?
सही उत्तर: क) 4.2 m
If it broke at height x: x² + 4² = (10 − x)², so 16 = 100 − 20x and x = 4.2 m.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
-
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated completely about its 4 cm side. What is the volume of the cone formed?
सही उत्तर: घ) 12π cm³
The cone has radius 3 cm and height 4 cm: V = (1/3)π × 9 × 4 = 12π cm³.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
-
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)
-
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)
-
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)
-
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)
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।
नमस्ते! पाठ्यक्रम, सामान्य ज्ञान, भाषा परीक्षा वा कुनै प्रश्नको उत्तर बुझ्न सोध्नुहोस्।
AI ले गल्ती गर्न सक्छ। महत्वपूर्ण कुरा आधिकारिक स्रोतमा जाँच्नुहोस्।