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 61-70 of 584 questions.
What is the solution of the inequality \(\frac{x}{5}+3<9\)?
A. (x<30)
(3) घटाने पर \(\frac{x}{5}<6\), इसलिए (x<30)। धनात्मक हर से गुणा करने पर चिह्न नहीं बदलता। / Subtracting (3) gives \(\frac{x}{5}<6\), so (x<30). Multiplying by a positive denominator does not change the sign.
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What is the solution of the inequality \(\frac{x+5}{2}\ge 8\)?
A. \(x\ge 11\)
(2) से गुणा करने पर \(x+5\ge 16\), इसलिए \(x\ge 11\)। पहले भिन्न हटाएं। / Multiplying by (2) gives \(x+5\ge 16\), so \(x\ge 11\). Remove the fraction first.
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What is the solution of the inequality \(\frac{4x-1}{3}\le 5\)?
A. \(x\le 4\)
(3) से गुणा करने पर \(4x-1\le 15\), इसलिए \(x\le 4\)। धनात्मक हर चिह्न नहीं बदलता। / Multiplying by (3) gives \(4x-1\le 15\), so \(x\le 4\). A positive denominator does not change the sign.
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What is the solution of the inequality \(-\frac{x}{6}\ge 3\)?
A. \(x\le -18\)
दोनों पक्षों को (-6) से गुणा करने पर चिह्न पलटता है और \(x\le -18\) मिलता है। ऋणात्मक गुणा में दिशा बदलें। / Multiplying both sides by (-6) reverses the sign and gives \(x\le -18\). Change the direction in negative multiplication.
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What is the solution of the inequality \(\frac{2x+7}{4}>6\)?
A. \(x>\frac{17}{2}\)
(4) से गुणा करने पर (2x+7>24), इसलिए \(x>\frac{17}{2}\)। भिन्न रूप में उत्तर स्वीकार्य है। / Multiplying by (4) gives (2x+7>24), so \(x>\frac{17}{2}\). A fractional form of the answer is acceptable.
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Which interval form represents the solution of \(2x+5\ge 17\)?
A. \([6,\infty\))
हल \(x\ge 6\) है, इसलिए अंतराल \([6,\infty\)) होगा। \(\ge\) में बंद कोष्ठक लगता है। / The solution is \(x\ge 6\), so the interval is \([6,\infty\)). The sign \(\ge\) uses a closed bracket.
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Which interval form represents the solution of (5x-10<15)?
A. (\(-\infty,5\))
हल (x<5) है, इसलिए अंतराल (\(-\infty,5\)) होगा। सख्त असमानता में खुला कोष्ठक लगाएं। / The solution is (x<5), so the interval is (\(-\infty,5\)). Use an open bracket for a strict inequality.
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What is the solution of the inequality \(12\le x+9\)?
A. \(x\ge 3\)
(9) घटाने पर \(3\le x\), अर्थात \(x\ge 3\)। उत्तर को (x) से शुरू करके लिखना स्पष्ट रहता है। / Subtracting (9) gives \(3\le x\), that is \(x\ge 3\). Writing the answer starting with (x) is clearer.
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What is the solution of the inequality (30>5x)?
A. (x<6)
(5) से भाग देने पर (6>x), अर्थात (x<6)। असमानता को पलटकर लिखते समय दिशा सही रखें। / Dividing by (5) gives (6>x), that is (x<6). Keep the direction correct when rewriting the inequality.
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Which value does not satisfy the inequality \(10-2x\ge 4\)?
A. (x=4)
हल \(x\le 3\) है, इसलिए (x=4) संतुष्ट नहीं करता। ऋणात्मक गुणांक पर चिह्न पलटना याद रखें। / The solution is \(x\le 3\), so (x=4) does not satisfy it. Remember to reverse the sign with a negative coefficient.
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