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 191-200 of 584 questions.
Which is the solution of (2(x-5)+3\geq 3(x-4)-7)?
A. \(x\leq 12\)
सरल करने पर \(2x-7\geq 3x-19\) मिलता है। इससे \(12\geq x\) अर्थात \(x\leq 12\) है। / Simplifying gives \(2x-7\geq 3x-19\). This gives \(12\geq x\), that is \(x\leq 12\).
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Solve the inequality \(13-3x\leq 4\).
B. \(x\geq 3\)
\(-3x\leq -9\) में ऋणात्मक संख्या से भाग देने पर चिन्ह बदलता है। इसलिए \(x\geq 3\) सही है। / In \(-3x\leq -9\), dividing by a negative number reverses the sign. Hence \(x\geq 3\) is correct.
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What will be the solution of \(\frac{x}{6}-1\geq 2\)?
C. \(x\geq 18\)
\(\frac{x}{6}\geq 3\) से \(x\geq 18\) मिलता है। सकारात्मक हर से गुणा करने पर चिन्ह नहीं बदलता। / From \(\frac{x}{6}\geq 3\), we get \(x\geq 18\). Multiplying by a positive denominator does not change the sign.
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Choose the solution of (6x-7>2x+17).
D. (x>6)
(4x>24) से (x>6) मिलता है। चर वाले पदों को एक तरफ रखने से गलती कम होती है। / From (4x>24), we get (x>6). Keeping variable terms on one side reduces mistakes.
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Which is the correct solution of (3(x-4)+5\leq 2x+1)?
A. \(x\leq 8\)
सरल करने पर \(3x-7\leq 2x+1\) मिलता है। इसलिए \(x\leq 8\) है। / Simplifying gives \(3x-7\leq 2x+1\). Therefore \(x\leq 8\).
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Solve the inequality (5(2x+1)-3x<26).
B. (x<3)
(10x+5-3x<26) से (7x<21) मिलता है। अतः (x<3) सही है। / From (10x+5-3x<26), we get (7x<21). Hence (x<3) is correct.
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What is the interval form of the solution of \(2\leq 3x-1<11\)?
C. ([1,4))
सभी भागों में (1) जोड़ने पर \(3\leq 3x<12\) मिलता है। फिर (3) से भाग देकर \(1\leq x<4\) पाते हैं। / Adding (1) to all parts gives \(3\leq 3x<12\). Dividing by (3) gives \(1\leq x<4\).
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If (x) is an integer and (4x-3<21), what is the greatest possible (x)?
B. (5)
(4x<24) से (x<6) मिलता है। (6) से छोटा सबसे बड़ा पूर्णांक (5) है। / From (4x<24), we get (x<6). The greatest integer less than (6) is (5).
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If (x) is a natural number and \(5x+1\leq 26\), how many values of (x) are possible?
C. (5)
\(5x\leq 25\) से \(x\leq 5\) मिलता है। प्राकृतिक मान (1,2,3,4,5) हैं। / From \(5x\leq 25\), we get \(x\leq 5\). The natural values are (1,2,3,4,5).
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Which is the solution set of \(7x+2\geq 3x-18\)?
D. \({x:x\geq -5}\)
\(4x\geq -20\) से \(x\geq -5\) मिलता है। समुच्चय रूप में सही असमानता चिन्ह लिखना जरूरी है। / From \(4x\geq -20\), we get \(x\geq -5\). In set form, writing the correct inequality sign is important.
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