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 31-40 of 591 questions.
What is the correct solution of \(3-2x\le 9\)?
A. \(x\ge -3\)
\(3-2x\le 9\) से \(-2x\le 6\) और (-2) से भाग देने पर \(x\ge -3\)। ऋणात्मक भाग दिशा पलटता है। / From \(3-2x\le 9\), we get \(-2x\le 6\), and division by (-2) gives \(x\ge -3\). Negative division reverses the direction.
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Which statement is correct for \(x\le -1\)?
B. समाधान (-1) और उससे बाईं ओर हैंSolutions are (-1) and to its left
\(\le\) में सीमा और उससे छोटी संख्याएँ शामिल होती हैं। संख्या रेखा पर छोटी संख्याएँ बाईं ओर होती हैं। / The sign \(\le\) includes the boundary and smaller numbers. On the number line, smaller numbers are to the left.
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What is the interval form of (x>-4)?
A. (\(-4,\infty\))
(x>-4) में (-4) शामिल नहीं है और मान दाईं ओर हैं। इसलिए अंतराल (\(-4,\infty\)) है। / In (x>-4), (-4) is not included and values lie to the right. So the interval is (\(-4,\infty\)).
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Which is the interval form of \(x\le 0\)?
C. (\(-\infty,0]\)
\(x\le 0\) में (0) शामिल है और छोटी संख्याएँ बाईं ओर हैं। इसलिए (\(-\infty,0]\) सही है। / In \(x\le 0\), (0) is included and smaller numbers are to the left. So (\(-\infty,0]\) is correct.
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Which option correctly describes \(2\le x<5\)?
C. (x) (2) या उससे बड़ा और (5) से छोटा है(x) is (2) or more and less than (5)
\(2\le x<5\) में (2) शामिल है पर (5) शामिल नहीं है। संयुक्त असमानता को दो भागों में पढ़ें। / In \(2\le x<5\), (2) is included but (5) is not. Read a compound inequality in two parts.
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If (x) is a natural number and (x<4), what are the possible values?
A. \(x\in{1,2,3}\)
प्राकृतिक संख्याएँ (1) से शुरू मानी जाती हैं और (4) शामिल नहीं है। इसलिए मान (1,2,3) हैं। / Natural numbers are taken from (1), and (4) is not included. Therefore the values are (1,2,3).
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If (x) is an integer and \(-2<x\le 2\), what are the values of (x)?
B. \(x\in{-1,0,1,2}\)
(-2) शामिल नहीं है पर (2) शामिल है। पूर्णांक मान (-1,0,1,2) होंगे। / The value (-2) is not included, but (2) is included. The integer values are (-1,0,1,2).
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Which inequality shows that (x) is at least (6)?
C. \(x\ge 6\)
कम से कम (6) का अर्थ (6) या उससे अधिक है। इसलिए सही चिह्न \(\ge\) है। / At least (6) means (6) or more. Therefore the correct sign is \(\ge\).
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Which inequality shows that (n) is at most (20)?
A. \(n\le 20\)
अधिकतम (20) का अर्थ (20) या उससे कम है। इसलिए \(n\le 20\) सही है। / At most (20) means (20) or less. Therefore \(n\le 20\) is correct.
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If (a>b) and (k>0), which statement is correct?
A. (ak>bk)
धनात्मक संख्या से गुणा करने पर दिशा वही रहती है। (k>0) होने की शर्त जरूरी है। / Multiplication by a positive number keeps the direction the same. The condition (k>0) is important.
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