गणित – Mathematics MCQ
गणित – CTEVT स्वास्थ्य प्रवेश
Mathematics · CTEVT Health Entrance (PCL & Diploma) · ४०९ प्रश्न
४०९ 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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A car goes from A to B at 60 km/h and returns at 40 km/h. Its average speed for the whole journey is:
सही उत्तर: ख) 48 km/h
For equal distances, average speed = 2xy/(x + y) = 2 × 60 × 40/100 = 48 km/h. 50 km/h is the simple average, which is wrong because more time is spent at the slower speed.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A can do a work in 10 days and B in 15 days. Working together, they finish it in:
सही उत्तर: क) 6 days
Combined rate = 1/10 + 1/15 = 1/6 per day, so 6 days. 12.5 days is the average of the two times, which is not how rates combine.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If 12 workers can finish a job in 10 days, how many days will 8 workers take?
सही उत्तर: घ) 15 days
Work = 12 × 10 = 120 worker-days, so 8 workers need 120/8 = 15 days. Fewer workers need more days (inverse proportion).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Find the fourth proportional to 6, 9 and 10 (that is, 6 : 9 = 10 : x).
सही उत्तर: ग) 15
6 : 9 = 10 : x gives x = 9 × 10/6 = 15. 13 comes from adding 3, which treats a ratio as a difference.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Rs 3,600 is divided between A and B in the ratio 4 : 5. A's share is:
सही उत्तर: ख) Rs 1,600
Total parts = 9, so A gets 4/9 × 3,600 = Rs 1,600. Rs 2,000 is B's share.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A machine worth Rs 1,00,000 depreciates at 10% per year. Its value after 2 years is:
सही उत्तर: क) Rs 81,000
Value = 1,00,000 × (0.9)² = Rs 81,000. Rs 80,000 wrongly subtracts 10% of the original value twice.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The population of a town is 50,000 and it grows at 2% per year. The population after 2 years is:
सही उत्तर: घ) 52,020
P = 50,000 × (1.02)² = 50,000 × 1.0404 = 52,020. 52,000 ignores the growth on the first year's increase.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The compound amount of Rs 10,000 at 10% per annum compounded half-yearly for 1 year is:
सही उत्तर: ग) Rs 11,025
Half-yearly: rate 5% per period for 2 periods, A = 10,000 × (1.05)² = Rs 11,025. Rs 11,000 is annual compounding.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The difference between compound interest and simple interest on Rs 20,000 at 10% per annum for 2 years is:
सही उत्तर: ख) Rs 200
For 2 years, CI − SI = P(R/100)² = 20,000 × 0.01 = Rs 200. Rs 2,000 is one year's simple interest.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The compound amount of Rs 8,000 at 5% per annum compounded annually for 3 years is:
सही उत्तर: क) Rs 9,261
A = 8,000 × (1.05)³ = 8,000 × 1.157625 = Rs 9,261. Rs 9,200 is the simple-interest amount.
💬 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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AI ले गल्ती गर्न सक्छ। महत्वपूर्ण कुरा आधिकारिक स्रोतमा जाँच्नुहोस्।