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 441-450 of 600 questions.
What is the simplest fractional form of ( -0.3125 ) on the number line?
A. \( -\frac{5}{16} \)
\( -0.3125=-\frac{3125}{10000}=-\frac{5}{16} \)। दशमलव को भिन्न में बदलकर सरल करें। / \( -0.3125=-\frac{3125}{10000}=-\frac{5}{16} \). Convert the decimal into a fraction and simplify.
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Which value is greater than \( \sqrt{11} \) and less than \( \frac{10}{3} \)?
C. (3.33)
\( \sqrt{11}\approx3.316 \) और \( \frac{10}{3}\approx3.333 \), इसलिए (3.33) बीच में है। बहुत पास मानों में सटीक तुलना करें। / \( \sqrt{11}\approx3.316 \) and \( \frac{10}{3}\approx3.333 \), so (3.33) lies between them. Compare very close values accurately.
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If (A=2.4), (B=-1.8), and (C=5.1), what is the difference between lengths (AB) and (AC)?
A. (1.5)
(AB=|2.4-(-1.8)|=4.2) और (AC=|2.4-5.1|=2.7), इसलिए अंतर (1.5) है। दूरी में निरपेक्ष मान लगाएँ। / (AB=|2.4-(-1.8)|=4.2) and (AC=|2.4-5.1|=2.7), so the difference is (1.5). Use absolute value for distance.
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Which value lies between \( \sqrt{2.25} \) and \( \sqrt{2.56} \) on the number line?
B. (1.55)
\( \sqrt{2.25}=1.5 \) और \( \sqrt{2.56}=1.6 \), इसलिए (1.55) बीच में है। दशमलव वर्गमूल याद रखें। / \( \sqrt{2.25}=1.5 \) and \( \sqrt{2.56}=1.6 \), so (1.55) lies between them. Remember decimal square roots.
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D. \( \frac{13}{3},\sqrt{19},4.34 \)
\( \frac{13}{3}\approx4.333 \), \( \sqrt{19}\approx4.359 \), और (4.34) इनके बीच है। सही क्रम \( \frac{13}{3},4.34,\sqrt{19} \) है। / \( \frac{13}{3}\approx4.333 \), \( \sqrt{19}\approx4.359 \), and (4.34) lies between them. The correct order is \( \frac{13}{3},4.34,\sqrt{19} \).
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If \( \sqrt{x}=4.7 \), then (x) corresponds to which value on the number line?
C. (22.09)
\(x=4.7^2=22.09\) है। वर्गमूल हटाने के लिए दोनों पक्षों का वर्ग करें। / \(x=4.7^2=22.09\). Square both sides to remove the square root.
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Which value is less than \( -\sqrt{13} \) and greater than (-3.7)?
C. ( -3.65 )
\( -\sqrt{13}\approx-3.606 \), इसलिए (-3.65) इससे छोटा और (-3.7) से बड़ा है। ऋणात्मक मानों में दिशा सावधानी से देखें। / \( -\sqrt{13}\approx-3.606 \), so (-3.65) is less than it and greater than (-3.7). Be careful with direction for negative values.
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What is the simplified form of \( \sqrt{12}+\sqrt{27} \) on the number line?
B. \(5\sqrt{3}\)
\( \sqrt{12}=2\sqrt{3} \) और \( \sqrt{27}=3\sqrt{3} \), इसलिए योग \(5\sqrt{3}\) है। पहले मूलों को सरल करें। / \( \sqrt{12}=2\sqrt{3} \) and \( \sqrt{27}=3\sqrt{3} \), so the sum is \(5\sqrt{3}\). Simplify the radicals first.
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If \(u=-2-\sqrt{7}\), in which interval is (u) located on the number line?
C. ( -5 ) और ( -4 ) के बीचBetween ( -5 ) and ( -4 )
\( \sqrt{7}\approx2.646 \), इसलिए \(u\approx-4.646\) है। अतः यह (-5) और (-4) के बीच होगा। / \( \sqrt{7}\approx2.646 \), so \(u\approx-4.646\). Therefore it lies between (-5) and (-4).
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Between which two consecutive integers is \( \sqrt{6}+\frac{1}{3} \) located on the number line?
B. (2) और (3)(2) and (3)
\( \sqrt{6}\approx2.449 \) और \( \frac{1}{3}\approx0.333 \), इसलिए योग लगभग (2.782) है। मिश्रित मानों में पहले अनुमान लगाएँ। / \( \sqrt{6}\approx2.449 \) and \( \frac{1}{3}\approx0.333 \), so the sum is about (2.782). For mixed values, estimate first.
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