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
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How many reflexive relations can be defined on a set with 3 elements?
सही उत्तर: घ) 64
Of the 9 ordered pairs, the 3 pairs (a, a) must be included; each of the other 6 may or may not be, giving 2⁶ = 64.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A set A has 2 elements. How many elements does P(P(A)), the power set of the power set of A, have?
सही उत्तर: घ) 16
P(A) has 2² = 4 elements, so P(P(A)) has 2⁴ = 16 elements.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For matrices A and B for which the product AB is defined, the transpose (AB)ᵀ is equal to:
सही उत्तर: ग) BᵀAᵀ
The transpose of a product is the product of the transposes in reverse order: (AB)ᵀ = BᵀAᵀ.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For a 2 × 2 matrix, the trace is the sum of its diagonal entries. What is the trace of the matrix [[2, 3], [4, 5]]?
सही उत्तर: ख) 7
Trace = 2 + 5 = 7.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the sum of all real roots of the equation x² − 5|x| + 6 = 0?
सही उत्तर: घ) 0
With t = |x|: t² − 5t + 6 = 0 gives |x| = 2 or 3, so x = ±2, ±3, whose sum is 0.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many real roots does the equation x⁴ − 5x² + 4 = 0 have?
सही उत्तर: घ) 4
It factorises as (x² − 1)(x² − 4) = 0, giving x = ±1 and x = ±2: four real roots.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the value of the product (x − a)(x − b)(x − c) ... (x − z), taken over all 26 letters of the alphabet?
सही उत्तर: ग) 0
One of the factors is (x − x), which is 0, so the whole product is 0.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If x is a real number with x + 1/x = 2, what is the value of x¹⁰⁰ + 1/x¹⁰⁰?
सही उत्तर: क) 2
x + 1/x = 2 gives (x − 1)² = 0, so x = 1 and x¹⁰⁰ + 1/x¹⁰⁰ = 1 + 1 = 2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the characteristic of log₁₀ 0.00456?
सही उत्तर: ग) −3
0.00456 = 4.56 × 10⁻³, so its common logarithm lies between −3 and −2 and its characteristic is −3 (written 3̄).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If log₂ x = 3 and log₃ y = 2, what is x + y?
सही उत्तर: क) 17
x = 2³ = 8 and y = 3² = 9, so x + y = 17.
💬 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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