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 gradient (slope) of the line y = mx + c is:
सही उत्तर: ख) m
In y = mx + c, m is the slope and c is the y-intercept. The slope measures the change in y per unit change in x.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two simultaneous linear equations whose graphs are parallel lines have:
सही उत्तर: ख) No solution
Parallel lines never meet, so there is no common point and therefore no solution. Coincident lines have infinitely many solutions.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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An equation of the form ax + b = 0 (a ≠ 0) is called a:
सही उत्तर: ग) Linear equation
A linear equation has degree 1 and gives a straight line when graphed. A quadratic equation has degree 2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The solution of the equation 3x − 7 = 11 is:
सही उत्तर: घ) x = 6
3x = 11 + 7 = 18, so x = 6. Stopping at 18 forgets to divide by the coefficient 3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In the quadratic equation ax² + bx + c = 0, if b² − 4ac < 0, the roots are:
सही उत्तर: क) Not real (imaginary)
A negative discriminant means the square root is not a real number, so there are no real roots. When b² − 4ac = 0, the roots are real and equal.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The roots of ax² + bx + c = 0 are given by:
सही उत्तर: ख) x = [−b ± √(b² − 4ac)] / 2a
This is the quadratic formula. Its expression b² − 4ac is the discriminant, which decides the nature of the roots.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The general form of a quadratic equation is:
सही उत्तर: ग) ax² + bx + c = 0, where a ≠ 0
A quadratic equation has degree 2, so the coefficient of x² must not be zero. If a = 0, the equation becomes linear.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For any two positive integers a and b, HCF × LCM is equal to:
सही उत्तर: घ) a × b
The product of the HCF and LCM of two numbers equals the product of the numbers. This holds for two numbers but not in general for three or more.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The expansion of (a − b)³ is:
सही उत्तर: घ) a³ − 3a²b + 3ab² − b³
(a − b)³ = a³ − 3a²b + 3ab² − b³, which can also be written as a³ − b³ − 3ab(a − b). It is not equal to a³ − b³.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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a² − b² can be factorised as:
सही उत्तर: ख) (a + b)(a − b)
The difference of two squares factorises as (a + b)(a − b). (a − b)² expands to a² − 2ab + b², which is different.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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