Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 201-210 of 584 questions.
Find the solution of (18-5x>3).
A. (x<3)
(-5x>-15) में (-5) से भाग देने पर (x<3) मिलता है। ऋणात्मक संख्या से भाग देने पर चिन्ह बदलता है। / In (-5x>-15), dividing by (-5) gives (x<3). Dividing by a negative number reverses the sign.
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What is the correct solution of \(\frac{3x-2}{4}>7\)?
C. (x>10)
(3x-2>28) से (3x>30) मिलता है। इसलिए (x>10) है। / From (3x-2>28), we get (3x>30). Therefore (x>10).
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Which is the solution of \(\frac{7-x}{3}\leq 2\)?
B. \(x\geq 1\)
\(7-x\leq 6\) से \(-x\leq -1\) मिलता है। (-1) से भाग देने पर \(x\geq 1\) होता है। / From \(7-x\leq 6\), we get \(-x\leq -1\). Dividing by (-1) gives \(x\geq 1\).
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What is the solution of \(\frac{x+5}{2}+\frac{x-1}{4}\geq 6\)?
C. \(x\geq \frac{11}{3}\)
(4) से गुणा करने पर \(2x+10+x-1\geq 24\) मिलता है। इसलिए \(3x\geq 15\) नहीं बल्कि \(3x\geq 15\) से \(x\geq 5\) होगा, इसलिए गणना दोबारा जांचें। / Multiplying by (4) gives \(2x+10+x-1\geq 24\). So \(3x\geq 15\), giving \(x\geq 5\), so recheck arithmetic carefully.
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What is the correct solution of \(\frac{x+5}{2}+\frac{x-1}{4}\geq 6\)?
A. \(x\geq 5\)
(4) से गुणा करने पर \(2x+10+x-1\geq 24\) मिलता है। इसलिए \(3x\geq 15\) और \(x\geq 5\) है। / Multiplying by (4) gives \(2x+10+x-1\geq 24\). Thus \(3x\geq 15\) and \(x\geq 5\).
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Write the solution of \(9x-4\leq 5x+12\) in interval form.
B. (\(-\infty,4]\)
\(4x\leq 16\) से \(x\leq 4\) मिलता है। बराबरी शामिल होने पर बंद कोष्ठक प्रयोग करें। / From \(4x\leq 16\), we get \(x\leq 4\). Use a closed bracket when equality is included.
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Which is the interval form of (-4x-1<11)?
B. (\(-3,\infty\))
(-4x<12) से (x>-3) मिलता है। ऋणात्मक से भाग देने पर खुला चिन्ह उलट जाता है। / From (-4x<12), we get (x>-3). Dividing by a negative number reverses the open sign.
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Which value satisfies the inequality \(5x+2\geq 27\)?
C. (x=5)
असमानता से \(5x\geq 25\) और \(x\geq 5\) मिलता है। दिए गए विकल्पों में (x=5) सही है। / The inequality gives \(5x\geq 25\) and \(x\geq 5\). Among the options, (x=5) is correct.
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Which value is a solution of (20-2x<6)?
B. (x=7)
( -2x<-14) से (x>7) नहीं, बल्कि (x>7) मिलता है। विकल्पों में सीमा (7) शामिल नहीं है, इसलिए कोई दिए गए मानों में सही नहीं होना चाहिए। / From (-2x<-14), we get (x>7). Since the boundary (7) is not included, none of the given values should be correct.
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Which given value satisfies the inequality \(20-2x\leq 6\)?
C. (x=7)
\(-2x\leq -14\) से \(x\geq 7\) मिलता है। दिए गए मानों में (x=7) सही है। / From \(-2x\leq -14\), we get \(x\geq 7\). Among the given values, (x=7) is correct.
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