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 101-110 of 592 questions.
Which option is the correct interval form of \(x\ge -18\)?
B. \([-18,\infty\))
\(x\ge -18\) में (-18) शामिल है और उससे बड़ी सभी संख्याएँ आती हैं। इसलिए \([-18,\infty\)) सही है। / In \(x\ge -18\), (-18) and all greater numbers are included. Hence \([-18,\infty\)) is correct.
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Which interval is correct for \(3\le x\le 11\) on the number line?
C. ([3,11])
दोनों सीमाएँ बराबरी सहित हैं इसलिए दोनों शामिल होंगी। इसलिए अंतराल ([3,11]) होगा। / Both endpoints are included because equality appears on both sides. Therefore the interval is ([3,11]).
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If there is only a closed point at (-4) on the number line, what is the solution?
C. (x=-4)
एक भरा बिंदु केवल उसी मान को समाधान में शामिल दिखाता है। इसलिए समाधान (x=-4) है। / One closed point shows that only that value is included in the solution. Hence the solution is (x=-4).
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How will the interval (\(-\infty,-16\)) appear on the number line?
B. (-16) पर खाली वृत्त और बाईं ओर किरणOpen circle at (-16) and ray left
(\(-\infty,-16\)) में (-16) शामिल नहीं है और छोटी संख्याएँ ली जाती हैं। इसलिए खाली वृत्त और बाईं किरण बनेगी। / In (\(-\infty,-16\)), (-16) is not included and smaller numbers are taken. So an open circle and left ray are drawn.
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Which option gives the correct number line indication for \(x\in [-9,-2\))?
B. (-9) बंद और (-2) खुला(-9) closed and (-2) open
(-9) के साथ वर्ग कोष्ठक है इसलिए वह शामिल है और (-2) के साथ गोल कोष्ठक है इसलिए वह शामिल नहीं है। यही सिरों को तय करता है। / (-9) has a square bracket so it is included and (-2) has a parenthesis so it is excluded. This decides the endpoints.
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Which is the correct representation of \(x\ne 7\) on the number line?
B. पूरी रेखा छायांकित और (7) पर खाली वृत्तWhole line shaded with an open circle at (7)
\(x\ne 7\) में (7) को छोड़कर सभी वास्तविक संख्याएँ शामिल हैं। छोड़े गए मान पर खाली वृत्त बनता है। / In \(x\ne 7\), all real numbers except (7) are included. The excluded value is shown by an open circle.
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If the representation of (x) is from (-6) to (4) and only (4) is included, what is the interval?
B. ((-6,4])
केवल (4) शामिल है इसलिए (-6) खुला और (4) बंद होगा। सही अंतराल ((-6,4]) है। / Only (4) is included so (-6) is open and (4) is closed. The correct interval is ((-6,4]).
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Which value is included in the interval \([-\frac{3}{2},2\))?
C. -\(\frac{3}{2}\)
\([-\frac{3}{2},2\)) में \(-\frac{3}{2}\) शामिल है लेकिन (2) शामिल नहीं है। इसलिए \(-\frac{3}{2}\) सही सदस्य है। / In \([-\frac{3}{2},2\)), \(-\frac{3}{2}\) is included but (2) is not. Therefore \(-\frac{3}{2}\) is a correct member.
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What will the combined representation of \(x\le 5\) and (x>5) give on the number line?
B. सभी वास्तविक संख्याएँAll real numbers
पहला भाग (5) सहित बाईं ओर है और दूसरा भाग (5) के बाद दाईं ओर है। दोनों मिलकर पूरी संख्या रेखा देते हैं। / The first part is the left side including (5), and the second part is the right side after (5). Together they give the whole number line.
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Which interval is correct for showing (x<-7) and (x>12) together on the number line?
B. (\(-\infty,-7\)\cup\(12,\infty\))
दो अलग हिस्सों को \(\cup\) से जोड़ा जाता है। दोनों सीमाएँ शामिल नहीं हैं इसलिए गोल कोष्ठक लगेंगे। / Two separate parts are joined by \(\cup\). Both endpoints are excluded so parentheses are used.
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