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 401-410 of 591 questions.
What is the integer solution set of \(-3\leq 2x+1<7\)?
A. ({-2,-1,0,1,2})
\(-3\leq 2x+1<7\) से \(-4\leq 2x<6\) और \(-2\leq x<3\) मिलता है। पूर्णांक हल (-2) से (2) तक हैं। / From \(-3\leq 2x+1<7\), we get \(-4\leq 2x<6\), hence \(-2\leq x<3\). The integer solutions are from (-2) to (2).
Login to save your score, XP, coins and progress.
If \( -4<x\leq 2 \), what is the correct range of (3x-1)?
A. \( -13<3x-1\leq 5 \)
पूरी असमानता को (3) से गुणा करके (1) घटाने पर \( -13<3x-1\leq 5 \) मिलता है। धनात्मक गुणन में चिन्ह नहीं बदलता। / Multiplying the whole inequality by (3) and subtracting (1) gives \( -13<3x-1\leq 5 \). Positive multiplication does not change the sign.
Login to save your score, XP, coins and progress.
What is the solution set of the inequality ( -3x+5>14 )?
A. (x<-3)
( -3x>9 ) से (x<-3) मिलेगा क्योंकि ( -3 ) से भाग देने पर चिन्ह उलटता है। अंतिम चरण में चिन्ह जरूर जांचें। / From ( -3x>9 ), we get (x<-3) because division by ( -3 ) reverses the sign. Always check the sign in the last step.
Login to save your score, XP, coins and progress.
If \(x\in \mathbb{Z}\) and \( \frac{x+2}{3}>1 \) and (x<9), how many integer solutions are there?
A. (5)
पहली शर्त से (x>1) और दूसरी से (x<9) है इसलिए (x=2,3,4,5,6,7,8) कुल (7) नहीं बल्कि विकल्प जांचने पर (7) होना चाहिए। / The first condition gives (x>1) and the second gives (x<9), so (x=2,3,4,5,6,7,8), which are (7) integers. Always list integer endpoints carefully.
Login to save your score, XP, coins and progress.
Which interval represents the inequality \(2<x\leq 7\)?
B. ( (2,7] )
(2) शामिल नहीं है और (7) शामिल है इसलिए अंतराल ( (2,7] ) है। खुले और बंद ब्रैकेट पर ध्यान दें। / (2) is not included and (7) is included, so the interval is ( (2,7] ). Watch open and closed brackets carefully.
Login to save your score, XP, coins and progress.
If \( -6\leq x<0 \), what is the correct range of \( \frac{x}{-2} \)?
A. \(0<\frac{x}{-2}\leq 3\)
(-2) से भाग देने पर दिशा उलटती है और \(3\geq \frac{x}{-2}>0\) मिलता है। इसे बढ़ते क्रम में \(0<\frac{x}{-2}\leq 3\) लिखते हैं। / Dividing by (-2) reverses the direction and gives \(3\geq \frac{x}{-2}>0\). In increasing order, it is \(0<\frac{x}{-2}\leq 3\).
Login to save your score, XP, coins and progress.
If \(x\in \mathbb{R}\) and \(x^2<0\), what is the solution set?
C. \( \emptyset \)
किसी भी वास्तविक (x) के लिए \(x^2\geq 0\) होता है इसलिए \(x^2<0\) असंभव है। ऐसे प्रश्नों में पहले मूल गुण देखें। / For every real (x), \(x^2\geq 0\), so \(x^2<0\) is impossible. In such questions, check the basic property first.
Login to save your score, XP, coins and progress.
Which inequality includes (x=4) in its solution but does not include (x=3)?
B. \(2x-5\geq 3\)
\(2x-5\geq 3\) से \(x\geq 4\) मिलता है इसलिए (4) शामिल है और (3) नहीं। सीमा वाले विकल्प में बराबरी जरूर जांचें। / \(2x-5\geq 3\) gives \(x\geq 4\), so (4) is included and (3) is not. Always check equality at boundary options.
Login to save your score, XP, coins and progress.
What is the correct solution of \( \frac{x-2}{3}\geq 4 \)?
C. \(x\geq 14\)
(3) धनात्मक है इसलिए चिन्ह नहीं बदलता और \(x-2\geq 12\) से \(x\geq 14\) मिलता है। धनात्मक गुणन में चिन्ह वैसा ही रहता है। / Since (3) is positive, the sign does not change and \(x-2\geq 12\) gives \(x\geq 14\). With positive multiplication, the sign remains the same.
Login to save your score, XP, coins and progress.
If (a<0) and (b>0), which statement about (ab) is always true?
B. (ab<0)
ऋणात्मक और धनात्मक संख्या का गुणनफल हमेशा ऋणात्मक होता है इसलिए (ab<0)। चिन्ह आधारित प्रश्नों में शून्य की संभावना भी देखें। / The product of a negative and a positive number is always negative, so (ab<0). In sign-based questions, also check the possibility of zero.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.