Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 61-70 of 592 questions.
Which value is included in the interval ((0,8])?
C. (8)
((0,8]) में (0) शामिल नहीं है लेकिन (8) शामिल है। दिए गए विकल्पों में (8) सही सदस्य है। / In ((0,8]), (0) is not included but (8) is included. Among the given options, (8) is the correct member.
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Which notation is suitable when (x<-2) and (x>5) are shown together on the number line?
B. (\(-\infty,-2\)\cup\(5,\infty\))
दो अलग-अलग भागों को मिलाने के लिए \(\cup\) का प्रयोग होता है। यहाँ (-2) और (5) दोनों शामिल नहीं हैं। / The symbol \(\cup\) is used to combine two separate parts. Here both (-2) and (5) are not included.
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Which inequality is represented by the interval \([0,\infty\)) on the number line?
C. \(x\ge 0\)
\([0,\infty\)) में (0) शामिल है और दाईं ओर सभी संख्याएँ हैं। इसलिए यह \(x\ge 0\) है। / The interval \([0,\infty\)) includes (0) and all numbers to the right. Therefore it is \(x\ge 0\).
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How do we write (-5<x) in the usual form?
C. (x>-5)
(-5<x) का अर्थ है (x), (-5) से बड़ा है। सामान्य रूप में चर को बाईं ओर रखकर (x>-5) लिखते हैं. / (-5<x) means (x) is greater than (-5). In usual form, place the variable on the left and write (x>-5).
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If no part is shaded on a number line, what can the solution represent?
B. रिक्त समुच्चयEmpty set
कोई छायांकन न होने का अर्थ है कोई संख्या समाधान में नहीं है। इसे रिक्त समुच्चय कहा जाता है। / No shading means no number is in the solution. This is called the empty set.
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What does the interval ((3,3)) show on the number line?
C. रिक्त समुच्चयEmpty set
कोई संख्या (3) से बड़ी और (3) से छोटी एक साथ नहीं हो सकती। इसलिए ((3,3)) में कोई सदस्य नहीं है। / No number can be greater than (3) and less than (3) at the same time. Therefore ((3,3)) has no member.
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If the whole number line is shaded for (x), what is the solution?
A. \(x\in \mathbb{R}\)
पूरी संख्या रेखा का अर्थ सभी वास्तविक संख्याएँ हैं। इसका संकेत \(x\in \mathbb{R}\) है। / The whole number line means all real numbers. Its notation is \(x\in \mathbb{R}\).
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Which endpoint is not included in \(2\le x<6\) on the number line?
B. (6)
\(2\le x\) में (2) शामिल है लेकिन (x<6) में (6) शामिल नहीं है। इसलिए (6) पर खाली वृत्त होगा। / In \(2\le x\), (2) is included, but in (x<6), (6) is not included. So (6) has an open circle.
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Which interval represents \(x\le 0\) on the number line?
A. (\(-\infty,0]\)
\(x\le 0\) में (0) शामिल है और सभी छोटी संख्याएँ आती हैं। इसलिए (\(-\infty,0]\) सही है। / In \(x\le 0\), (0) is included and all smaller numbers are taken. Hence (\(-\infty,0]\) is correct.
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If the inequality is \(x<\frac{3}{2}\), what type of boundary point is used on the number line?
B. खाली वृत्तOpen circle
कठोर असमता में \(\frac{3}{2}\) शामिल नहीं है। इसलिए सीमा पर खाली वृत्त बनेगा। / A strict inequality does not include \(\frac{3}{2}\). Therefore an open circle is drawn at the boundary.
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