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 481-490 of 600 questions.
Which value is greater than \( \sqrt{3}+\frac{1}{4} \) and less than (2)?
A. (1.99)
\( \sqrt{3}+\frac{1}{4}\approx1.982 \) है। इसलिए (1.99) इससे बड़ा और (2) से छोटा है। / \( \sqrt{3}+\frac{1}{4}\approx1.982 \). Therefore (1.99) is greater than it and less than (2).
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If \(A=-\sqrt{28}\), (B=-5.3), and \(C=-\frac{16}{3}\), which is farthest left on the number line?
A. (C)
\(A\approx-5.292\), (B=-5.3), और \(C\approx-5.333\) है। सबसे छोटी संख्या (C) है। / \(A\approx-5.292\), (B=-5.3), and \(C\approx-5.333\). The smallest number is (C).
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Which number has distance \( \sqrt{17} \) from (0) and lies to the left of (0) on the number line?
A. \( -\sqrt{17} \)
बाईं ओर का बिंदु ऋणात्मक होगा और दूरी \( \sqrt{17} \) है। इसलिए संख्या \( -\sqrt{17} \) है। / The point on the left is negative and its distance is \( \sqrt{17} \). Therefore the number is \( -\sqrt{17} \).
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Which statement is correct when comparing \(3-\sqrt{2}\) and \( \frac{8}{5} \) on the number line?
A. \(3-\sqrt{2}<\frac{8}{5}\)
\(3-\sqrt{2}\approx1.586\) और \( \frac{8}{5}=1.6 \) है। इसलिए पहला मान थोड़ा छोटा है। / \(3-\sqrt{2}\approx1.586\) and \( \frac{8}{5}=1.6 \). Therefore the first value is slightly smaller.
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A. (14.5)
\( \sqrt{2}\approx1.414 \), इसलिए \( \frac{a}{10} \) को (1.414) और (1.5) के बीच होना चाहिए। (a=14.5) से (1.45) मिलता है। / \( \sqrt{2}\approx1.414 \), so \( \frac{a}{10} \) must be between (1.414) and (1.5). (a=14.5) gives (1.45).
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Which simplified form of \( \sqrt{80} \) makes its position on the number line easier to understand?
A. \(4\sqrt{5}\)
\( \sqrt{80}=\sqrt{16\cdot5}=4\sqrt{5} \) है। सबसे बड़ा पूर्ण वर्ग बाहर निकालें। / \( \sqrt{80}=\sqrt{16\cdot5}=4\sqrt{5} \). Factor out the largest perfect square.
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A. \( -1.42,-\sqrt{2},-\frac{7}{5} \)
( -1.42<-1.414<-1.4 ) के कारण क्रम \( -1.42,-\sqrt{2},-\frac{7}{5} \) है। ऋणात्मक दशमलवों में छोटी संख्या पहले आती है। / Since ( -1.42<-1.414<-1.4 ), the order is \( -1.42,-\sqrt{2},-\frac{7}{5} \). For negative decimals the smaller value comes first.
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If \(x=\sqrt{a}\) and (5.2<x<5.3) on the number line, which value of (a) is correct?
A. (28)
\(5.2^2=27.04\) और \(5.3^2=28.09\), इसलिए (a) इनके बीच होना चाहिए। (28) सही है। / \(5.2^2=27.04\) and \(5.3^2=28.09\), so (a) must lie between them. (28) is correct.
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Which is the most suitable estimate of \( \sqrt{7}-\sqrt{5} \) on the number line?
A. (0.41)
\( \sqrt{7}\approx2.646 \) और \( \sqrt{5}\approx2.236 \), इसलिए अंतर लगभग (0.41) है। निकट मूलों का अंतर छोटा होता है। / \( \sqrt{7}\approx2.646 \) and \( \sqrt{5}\approx2.236 \), so the difference is about (0.41). The difference of nearby roots is small.
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Which value lies between (-2) and \( -\sqrt{3} \) on the number line?
A. ( -1.8 )
\( -\sqrt{3}\approx-1.732 \) है और (-1.8) इसके तथा (-2) के बीच है। ऋणात्मक अंतराल में बाएँ से दाएँ क्रम देखें। / \( -\sqrt{3}\approx-1.732 \), and (-1.8) lies between it and (-2). Check left-to-right order in negative intervals.
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