गणित (Mathematics) – Mathematics MCQ
गणित (Mathematics) – इन्जिनियरिङ प्रवेश
Mathematics · Engineering Entrance – Mathematics, Physics, Chemistry & English · १,३०८ प्रश्न
१,३०८ प्रश्न उपलब्ध। मोड छान्नुहोस्:
गणित (Mathematics): 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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After simplification, the number of terms in (x + a)¹⁰ + (x − a)¹⁰ is:
सही उत्तर: ग) 6
Terms with odd powers of a cancel and those with even powers (a⁰, a², ..., a¹⁰) double, leaving 6 terms.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many arrangements of all the letters of the word EXAM begin with a vowel?
सही उत्तर: क) 12
The first place can be E or A (2 ways) and the remaining 3 letters can be arranged in 3! = 6 ways: 2 × 6 = 12.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The number of ways of selecting 4 cards from a pack of 52 so that there is exactly one card of each suit is:
सही उत्तर: ख) 28561
One card is chosen from the 13 cards of each of the 4 suits: 13⁴ = 28561.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If all arrangements of the letters of the word RANK are listed in dictionary order, the rank (position) of the word RANK is:
सही उत्तर: घ) 20
Words beginning with A, K and N number 3! each = 18; then RAKN (19th) and RANK (20th).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many 3-digit natural numbers have at least one digit repeated?
सही उत्तर: घ) 252
Total 3-digit numbers = 900; those with all digits distinct = 9 × 9 × 8 = 648; so 900 − 648 = 252.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Five letters are placed at random in their five addressed envelopes, one per envelope. The number of ways in which exactly one letter goes into its correct envelope is:
सही उत्तर: क) 45
Choose the correct letter (5 ways) and derange the other 4 (D₄ = 9 ways): 5 × 9 = 45.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The number of even positive divisors of 360 is:
सही उत्तर: ख) 18
360 = 2³·3²·5. An even divisor has 2 raised to 1, 2 or 3: 3 × 3 × 2 = 18.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A set of 4 parallel lines is cut by another set of 3 parallel lines. The number of parallelograms formed is:
सही उत्तर: ग) 18
A parallelogram needs 2 lines from each set: ⁴C₂ × ³C₂ = 6 × 3 = 18.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In a convex octagon no three diagonals are concurrent. The number of points of intersection of its diagonals lying inside the octagon is:
सही उत्तर: ग) 70
Every choice of 4 vertices gives exactly one interior intersection point (of the two diagonals of that quadrilateral), so the count is ⁸C₄ = 70.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In how many distinct ways can the six letters of BANANA be arranged?
सही उत्तर: क) 60
BANANA has 6 letters with A repeated 3 times and N twice: 6!/(3!·2!) = 720/12 = 60.
💬 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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