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 161-170 of 584 questions.
Which is the solution of \(\frac{x+3}{5}<2\)?
A. (x<7)
(x+3<10) से (x<7) मिलता है। सकारात्मक हर से गुणा करने पर चिन्ह नहीं बदलता। / From (x+3<10), we get (x<7). Multiplying by a positive denominator does not change the sign.
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What is the solution of \(\frac{3x+2}{4}\geq \frac{x+6}{2}\)?
A. \(x\geq 10\)
(4) से गुणा करने पर \(3x+2\geq 2x+12\) मिलता है। अतः \(x\geq 10\) सही है। / Multiplying by (4) gives \(3x+2\geq 2x+12\). Hence \(x\geq 10\) is correct.
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Find the solution of \(\frac{x-1}{3}+\frac{x+2}{2}\leq 4\).
A. \(x\leq \frac{16}{5}\)
(6) से गुणा करने पर \(2x-2+3x+6\leq 24\) मिलता है। इसलिए \(5x\leq 16\) और \(x\leq \frac{16}{5}\) है। / Multiplying by (6) gives \(2x-2+3x+6\leq 24\). So \(5x\leq 16\) and \(x\leq \frac{16}{5}\).
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What will be the solution of \(\frac{2x+5}{3}-1>4\)?
A. (x>5)
\(\frac{2x+5}{3}>5\) से (2x+5>15) मिलता है। अतः (x>5) है। / From \(\frac{2x+5}{3}>5\), we get (2x+5>15). Therefore (x>5).
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Which statement is correct after simplifying \(15\leq 4x-1\)?
A. \(x\geq 4\)
\(16\leq 4x\) से \(4\leq x\) अर्थात \(x\geq 4\) मिलता है। बाईं तरफ से पढ़ते समय क्रम को ठीक रखें। / From \(16\leq 4x\), we get \(4\leq x\), that is \(x\geq 4\). Keep the order correct when reading from the left.
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Write the solution of \(2x+7\geq 19\) in interval form.
A. \([6,\infty\))
\(2x\geq 12\) से \(x\geq 6\) मिलता है। बराबरी होने पर (6) को बंद कोष्ठक से लिखते हैं। / From \(2x\geq 12\), we get \(x\geq 6\). Since equality is included, write (6) with a closed bracket.
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What is the interval form of \(-2x+5\geq 11\)?
A. (\(-\infty,-3]\)
\(-2x\geq 6\) से \(x\leq -3\) मिलता है। ऋणात्मक से भाग देने पर दिशा बदलती है। / From \(-2x\geq 6\), we get \(x\leq -3\). Dividing by a negative number reverses the direction.
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Which value satisfies the inequality (4x-6>10)?
A. (x=5)
असमानता से (4x>16) और (x>4) मिलता है। दिए गए विकल्पों में केवल (5) इस शर्त को मानता है। / The inequality gives (4x>16) and (x>4). Among the options, only (5) satisfies this condition.
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Which value is a solution of \(12-3x\leq 0\)?
A. (x=4)
\(12\leq 3x\) से \(x\geq 4\) मिलता है। दिए गए विकल्पों में (4) सही है क्योंकि बराबरी शामिल है। / From \(12\leq 3x\), we get \(x\geq 4\). Among the options, (4) is correct because equality is included.
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Why is (x=4) included in the solution of \(2x-3\leq x+1\)?
A. क्योंकि \(x\leq 4\)Because \(x\leq 4\)
हल \(x\leq 4\) है इसलिए (x=4) शामिल है। \(\leq\) में बराबरी भी मान्य होती है। / The solution is \(x\leq 4\), so (x=4) is included. In \(\leq\), equality is also valid.
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