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 111-120 of 592 questions.
How do we write (10>x) in the usual form?
C. (x<10)
(10>x) का अर्थ है (x), (10) से छोटा है। चर को बाईं ओर रखकर (x<10) लिखते हैं। / (10>x) means (x) is less than (10). Placing the variable on the left gives (x<10).
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If no point or region is shaded on a number line, what can the solution be?
B. रिक्त समुच्चयEmpty set
कोई छायांकन नहीं होने का अर्थ है कोई भी संख्या समाधान में नहीं है। इसलिए यह रिक्त समुच्चय दर्शाता है। / No shading means no number is in the solution. Therefore it represents the empty set.
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What does the interval ((8,8)) represent on the number line?
C. रिक्त समुच्चयEmpty set
कोई संख्या (8) से बड़ी और (8) से छोटी एक साथ नहीं हो सकती। इसलिए यह रिक्त समुच्चय है। / No number can be greater than (8) and less than (8) at the same time. Hence it is the empty set.
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If the entire number line is shaded, which notation represents it?
B. \(x\in \mathbb{R}\)
पूरी संख्या रेखा सभी वास्तविक संख्याओं को दिखाती है। इसका संकेत \(x\in \mathbb{R}\) है। / The whole number line shows all real numbers. Its notation is \(x\in \mathbb{R}\).
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Which option gives the correct interval form of \(x<-\frac{9}{4}\)?
A. (\(-\infty,-\frac{9}{4}\))
\(x<-\frac{9}{4}\) में सीमा शामिल नहीं है और उससे छोटी संख्याएँ आती हैं। इसलिए (\(-\infty,-\frac{9}{4}\)) सही है। / In \(x<-\frac{9}{4}\), the boundary is excluded and smaller numbers are included. Hence (\(-\infty,-\frac{9}{4}\)) is correct.
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Which endpoint is not included in \(-1\le x<13\) on the number line?
B. (13)
(-1) बराबरी सहित है लेकिन (13) कठोर सीमा है। इसलिए (13) शामिल नहीं होगा। / (-1) is included with equality but (13) is a strict boundary. Therefore (13) is not included.
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Which interval represents \(x\ge 4\) on the number line?
B. \([4,\infty\))
\(x\ge 4\) में (4) शामिल है और दाईं ओर की संख्याएँ ली जाती हैं। इसलिए \([4,\infty\)) सही है। / In \(x\ge 4\), (4) is included and numbers to the right are taken. Hence \([4,\infty\)) is correct.
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If the inequality is \(x>\frac{7}{3}\), what type of boundary point is used?
B. खाली वृत्तOpen circle
कठोर (>) में \(\frac{7}{3}\) शामिल नहीं होता। इसलिए सीमा पर खाली वृत्त बनेगा। / The strict sign (>) does not include \(\frac{7}{3}\). Therefore an open circle is drawn at the boundary.
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Which statement is correct for the number line representation of \([\frac{2}{3},\frac{8}{3}\))?
B. \(\frac{2}{3}\) बंद और \(\frac{8}{3}\) खुला होगा\(\frac{2}{3}\) closed and \(\frac{8}{3}\) open
वर्ग कोष्ठक \(\frac{2}{3}\) को शामिल करता है और गोल कोष्ठक \(\frac{8}{3}\) को बाहर रखता है। इसलिए पहला सिरा बंद और दूसरा खुला होगा। / The square bracket includes \(\frac{2}{3}\), and the parenthesis excludes \(\frac{8}{3}\). So the first endpoint is closed and the second is open.
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Which value lies in the shaded part for (x>-10) on the number line?
C. (-9)
(x>-10) में (-10) से बड़ी संख्याएँ आती हैं। दिए गए विकल्पों में (-9) ही (-10) से बड़ा है। / In (x>-10), numbers greater than (-10) are included. Among the options, only (-9) is greater than (-10).
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