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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The set of elements that belong to A but not to B is denoted by:
सही उत्तर: ख) A − B
A − B (difference) contains the elements in A that are not in B. B − A is the opposite: elements of B not in A.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For two sets A and B, n(A ∪ B) is equal to:
सही उत्तर: ग) n(A) + n(B) − n(A ∩ B)
Adding n(A) and n(B) counts the common elements twice, so n(A ∩ B) is subtracted once. If the sets are disjoint, this reduces to n(A) + n(B).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two sets that have no common element are called:
सही उत्तर: घ) Disjoint sets
Disjoint sets have an empty intersection, A ∩ B = ∅. Equivalent sets only have the same number of elements.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The set containing all elements under consideration in a problem is called the:
सही उत्तर: घ) Universal set
The universal set (U) contains all the elements under discussion; every other set in the problem is a subset of it. The power set is the set of all subsets of a given set.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If n(A) = 3, the number of subsets of set A is:
सही उत्तर: क) 8
A set with n elements has 2ⁿ subsets, so 2³ = 8. This count includes the empty set and A itself.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A set that contains no element is called a:
सही उत्तर: ख) Null (empty) set
A set with no element is the null or empty set, written ∅ or { }. A singleton set has exactly one element.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The value of 27^(1/3) is:
सही उत्तर: ग) 3
27^(1/3) is the cube root of 27, and 3 × 3 × 3 = 27. 9 would be 27^(2/3).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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a⁻ⁿ (a ≠ 0) is equal to:
सही उत्तर: ग) 1/aⁿ
A negative index means the reciprocal: a⁻ⁿ = 1/aⁿ. It does not make the value negative.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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(aᵐ)ⁿ is equal to:
सही उत्तर: घ) aᵐⁿ
Raising a power to another power multiplies the indices: (aᵐ)ⁿ = aᵐⁿ. Adding indices applies only to multiplying powers with the same base.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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According to the laws of indices, aᵐ × aⁿ equals:
सही उत्तर: क) aᵐ⁺ⁿ
When multiplying powers of the same base, the indices are added: aᵐ × aⁿ = aᵐ⁺ⁿ. The product aᵐⁿ comes from (aᵐ)ⁿ, a power of a power.
💬 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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