comparison se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
262 questions tagged with comparison.
If \(x=\frac{17}{10}\) and \(y=\sqrt{3}\), which is to the left on the number line?
A. (x)
(x=1.7) और \(\sqrt{3}\approx1.732\), इसलिए (x<y)। बाएँ बिंदु की संख्या छोटी होती है। / (x=1.7) and \(\sqrt{3}\approx1.732\), so (x<y). The point to the left has the smaller value.
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If (A=-2.75) and (B=-2.7) on the number line, which point is to the left?
A. (A)
(-2.75<-2.7), इसलिए (A) संख्या रेखा पर बाएँ है। ऋणात्मक दशमलवों की तुलना में अधिक ऋणात्मक संख्या बाएँ होती है। / Since (-2.75<-2.7), (A) is to the left on the number line. In negative decimals, the more negative number is farther left.
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On the number line, which point will be to the right, \(-\sqrt{25}\) or \(-\sqrt{36}\)?
A. \(-\sqrt{25}\)
\(-\sqrt{25}=-5\) और \(-\sqrt{36}=-6\), इसलिए (-5) दाईं ओर है। ऋणात्मक संख्याओं में कम परिमाण वाली संख्या बड़ी होती है। / \(-\sqrt{25}=-5\) and \(-\sqrt{36}=-6\), so (-5) is to the right. Among negatives, the one with smaller magnitude is greater.
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What is the increasing order of \(\sqrt{1}\), \(\sqrt{2}\), and \(\sqrt{3}\) on the number line?
B. \(\sqrt{1},\sqrt{2},\sqrt{3}\)
धनात्मक संख्याओं के लिए (1<2<3) होने पर \(\sqrt{1}<\sqrt{2}<\sqrt{3}\) है। वर्गमूल क्रम को बनाए रखता है। / For positive numbers, (1<2<3) gives \(\sqrt{1}<\sqrt{2}<\sqrt{3}\). Square root preserves order.
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Which of these points will lie to the left of (-2) on the number line?
A. \(-\sqrt{6}\)
\(\sqrt{6}\approx2.45\), इसलिए \(-\sqrt{6}\approx-2.45\) है जो (-2) से बाईं ओर है। छोटी संख्या बाईं ओर होती है। / \(\sqrt{6}\approx2.45\), so \(-\sqrt{6}\approx-2.45\), which is left of (-2). The smaller number lies to the left.
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Which of these values will not lie between (0) and (1) on the number line?
C. (-0.1)
(-0.1) शून्य से छोटा है इसलिए (0) और (1) के बीच नहीं है। बीच की जांच में दोनों सीमाओं से तुलना करें। / (-0.1) is less than zero, so it is not between (0) and (1). Compare with both bounds when checking between values.
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Which relation between \(\sqrt{15}\) and (4) is correct on the number line?
A. \(\sqrt{15}<4\)
क्योंकि (15<16), इसलिए \(\sqrt{15}<4\) है। तुलना के लिए पूर्ण वर्ग से मिलाएं। / Since (15<16), \(\sqrt{15}<4\). Compare using the nearby perfect square.
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Between which two integers will \(\sqrt{50}\) be located on the number line?
C. (7) और (8)(7) and (8)
क्योंकि \(7^2<50<8^2\), इसलिए \(\sqrt{50}\) (7) और (8) के बीच है। पूर्ण वर्गों से अंतराल तय करें। / Since \(7^2<50<8^2\), \(\sqrt{50}\) lies between (7) and (8). Use perfect squares to decide the interval.
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On the number line, which point will be to the right, \(-\sqrt{6}\) or (-2.4)?
B. (-2.4)
\(\sqrt{6}\) लगभग (2.45) है इसलिए \(-\sqrt{6}\) लगभग (-2.45) होगा। (-2.4) बड़ा है इसलिए दाईं ओर है। / \(\sqrt{6}\) is about (2.45), so \(-\sqrt{6}\) is about (-2.45). (-2.4) is greater, so it is to the right.
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Between which two consecutive integers will \(\sqrt{26}\) lie on the number line?
B. (5) और (6)(5) and (6)
क्योंकि \(5^2<26<6^2\), इसलिए \(\sqrt{26}\) (5) और (6) के बीच होगा। पास के पूर्ण वर्ग देखें। / Since \(5^2<26<6^2\), \(\sqrt{26}\) lies between (5) and (6). Check nearby perfect squares.
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Which number is less than \(\sqrt{14}\) but greater than (3) on the number line?
B. (3.5)
\(\sqrt{14}\) लगभग (3.74) है, इसलिए (3.5) (3) से बड़ा और \(\sqrt{14}\) से छोटा है। परीक्षा में वर्गमूल का मोटा अनुमान लगाएं। / \(\sqrt{14}\) is about (3.74), so (3.5) is greater than (3) and less than \(\sqrt{14}\). In exams, make a rough estimate of the square root.
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If (A=-0.5), (B=0), and (C=0.75) on the number line, which pair has the greatest distance?
C. (A) और (C)(A) and (C)
(AC=|0.75-(-0.5)|=1.25), जो सबसे बड़ी दूरी है। सबसे दूर बिंदु अक्सर दोनों सिरों पर होते हैं। / (AC=|0.75-(-0.5)|=1.25), which is the greatest distance. The farthest points are often the endpoints.
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On the number line, which point will be to the right, \(\frac{5}{6}\) or \(\frac{7}{8}\)?
B. \(\frac{7}{8}\)
\(\frac{5}{6}\approx0.833\) और \(\frac{7}{8}=0.875\), इसलिए \(\frac{7}{8}\) दाईं ओर है। तुलना के लिए दशमलव या क्रॉस गुणन करें। / \(\frac{5}{6}\approx0.833\) and \(\frac{7}{8}=0.875\), so \(\frac{7}{8}\) is to the right. Use decimals or cross multiplication to compare.
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Which relation between \(\sqrt{8}\) and (3) on the number line is correct?
C. \(\sqrt{8}<3\)
क्योंकि (8<9), इसलिए \(\sqrt{8}<3\) है। तुलना के लिए दोनों ओर वर्ग सोचें। / Since (8<9), \(\sqrt{8}<3\). For comparison, think in terms of squares.
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Which statement is true: on the number line, which is to the right, \(\sqrt{2}\) or \(\sqrt{3}\)?
B. \(\sqrt{3}\) दाईं ओर है\(\sqrt{3}\) is to the right
क्योंकि (3>2), इसलिए \(\sqrt{3}>\sqrt{2}\) है। धनात्मक वर्गमूलों में बड़ी संख्या का वर्गमूल बड़ा होता है। / Since (3>2), \(\sqrt{3}>\sqrt{2}\). For positive square roots, the root of the larger number is larger.
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Which option correctly describes the position of \(\frac{-13}{6}\) on the number line?
A. यह (-2) और (-3) के बीच हैIt is between (-2) and (-3)
\(\frac{-13}{6}\approx -2.17\), इसलिए यह (-3) और (-2) के बीच है। ऋणात्मक संख्या में पूर्णांक अंतराल उलझा सकता है। / \(\frac{-13}{6}\approx -2.17\), so it lies between (-3) and (-2). Intervals with negative numbers can be tricky.
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What is the correct increasing order of (0.09), (0.9), and (0.19) on the number line?
A. (0.09,0.19,0.9)
बढ़ता क्रम (0.09<0.19<0.9) है। दशमलव में स्थान मान बराबर करके तुलना करें। / The increasing order is (0.09<0.19<0.9). Compare decimals by aligning place values.
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On the number line, which point will be to the right, \(\frac{3}{2}\) or (1.6)?
B. (1.6)
\(\frac{3}{2}=1.5\) और (1.6>1.5), इसलिए (1.6) दाईं ओर होगा। दाईं ओर संख्या का मान बढ़ता है। / \(\frac{3}{2}=1.5\) and (1.6>1.5), so (1.6) is to the right. Values increase toward the right.
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On the number line, which point will be to the right, (-0.8) or (-0.3)?
B. (-0.3)
(-0.3), (-0.8) से बड़ा है इसलिए वह दाईं ओर होगा। ऋणात्मक संख्याओं में (0) के पास वाली संख्या बड़ी होती है। / (-0.3) is greater than (-0.8), so it is to the right. Among negative numbers, the one closer to (0) is greater.
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Which point is closer to (3) on the number line, (3.04) or (3.4)?
A. (3.04)
(3.04) की दूरी (0.04) है और (3.4) की दूरी (0.4) है। कम दूरी वाला बिंदु अधिक पास होता है। / The distance of (3.04) is (0.04) and the distance of (3.4) is (0.4). The point with smaller distance is closer.
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Which number will lie between (2.6) and (2.7) on the number line?
B. (2.65)
(2.65), (2.6) से बड़ा और (2.7) से छोटा है। दशमलवों की तुलना समान स्थान मान से करें। / (2.65) is greater than (2.6) and less than (2.7). Compare decimals using the same place values.
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Between which two consecutive integers will \(\sqrt{10}\) be located on the number line?
B. (3) और (4)(3) and (4)
क्योंकि \(3^2<10<4^2\), इसलिए \(\sqrt{10}\), (3) और (4) के बीच होगा। वर्गमूल की स्थिति के लिए पास के पूर्ण वर्ग देखें। / Since \(3^2<10<4^2\), \(\sqrt{10}\) lies between (3) and (4). Use nearby perfect squares to locate roots.
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Which fact can be used to place \(\sqrt{5}\) correctly on the number line?
A. \(2^2<5<3^2\)
क्योंकि (4<5<9), इसलिए \(\sqrt{5}\), (2) और (3) के बीच होगा। वर्गों की तुलना से वर्गमूल की स्थिति मिलती है। / Since (4<5<9), \(\sqrt{5}\) lies between (2) and (3). Comparing squares helps locate square roots.
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Which number will lie to the left of (3) on the number line?
D. (2.9)
संख्या रेखा पर बाईं ओर संख्या छोटी होती है और (2.9<3) है। परीक्षा में बाईं दिशा को छोटी संख्या से जोड़ें। / Numbers decrease to the left on the number line, and (2.9<3). In exams, connect the left direction with the smaller number.
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Which number will lie to the right of (-2) on the number line?
C. (-1)
संख्या रेखा पर दाईं ओर संख्या बड़ी होती है और (-1>-2) है। परीक्षा में दाईं दिशा को बड़ी संख्या से जोड़ें। / Numbers increase to the right on the number line, and (-1>-2). In exams, connect the right direction with the greater number.
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Which number will not lie between (2) and (3) on the number line?
D. \(\sqrt{10}\)
\(\sqrt{10}\), (3) से बड़ा है क्योंकि \(3^2=9\) और (10) इससे बड़ा है। परीक्षा में वर्गमूल की स्थिति वर्गों से जांचें। / \(\sqrt{10}\) is greater than (3) because \(3^2=9\) and (10) is larger. In exams, check square root positions using squares.
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Among (0.25), (0.5), and (0.75), which is leftmost on the number line?
A. (0.25)
इनमें सबसे छोटी संख्या (0.25) है, इसलिए यह सबसे बाईं ओर होगी। छोटी संख्या संख्या रेखा पर बाईं ओर रहती है। / The smallest number is (0.25), so it is the leftmost. Smaller numbers lie to the left on the number line.
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On the number line, which number is to the left between (-0.5) and (-0.2)?
A. (-0.5)
(-0.5< -0.2), इसलिए (-0.5) बाईं ओर है। ऋणात्मक दशमलव की तुलना सावधानी से करें। / Since (-0.5< -0.2), (-0.5) is to the left. Compare negative decimals carefully.
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On the number line, which number is to the right between (1.8) and (2.1)?
A. (2.1)
(2.1>1.8), इसलिए (2.1) दाईं ओर होगा। संख्या रेखा पर दाईं ओर जाने पर मान बढ़ता है। / Since (2.1>1.8), (2.1) is to the right. Values increase as we move right on the number line.
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Between which two integers does \(\sqrt{13}\) lie on the number line?
A. (3) और (4)(3) and (4)
क्योंकि \(3^2<13<4^2\), इसलिए \(\sqrt{13}\), (3) और (4) के बीच है। वर्गों से तुलना आसान होती है। / Since \(3^2<13<4^2\), \(\sqrt{13}\) lies between (3) and (4). Comparing squares makes it easy.
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