medium se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
1071 questions tagged with medium.
What is the solution of (2x+3y=19) and (x-y=2)?
C. ( (5,3) )
(x-y=2) से (x=y+2), इसलिए (2(y+2)+3y=19) और (y=3)। फिर (x=5) मिलेगा। / From (x-y=2), (x=y+2), so (2(y+2)+3y=19) and (y=3). Then (x=5).
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Solve (2x+y=11) and (x-y=1) by substitution.
B. ( (4,3) )
(x-y=1) से (y=x-1), इसलिए (2x+x-1=11) और हल ( (4,3) ) है। परीक्षा में पहले आसान चर अलग करें। / From (x-y=1), (y=x-1), so (2x+x-1=11) and the solution is ( (4,3) ). In exams, isolate the easier variable first.
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On the number line, which point is to the right, \(x=-\sqrt{2}\) or \(y=-\frac{3}{2}\)?
A. (x)
\(-\sqrt{2}\) लगभग (-1.414) है और \(-\frac{3}{2}=-1.5\), इसलिए (x) बड़ा है। परीक्षा में ऋणात्मक संख्याओं में कम दूरी वाला बिंदु दाईं ओर हो सकता है। / \(-\sqrt{2}\) is about (-1.414) and \(-\frac{3}{2}=-1.5\), so (x) is greater. In exams, for negative numbers, the point with smaller distance from (0) may lie to the right.
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A. \(0,\frac{1}{2},\sqrt{2},2\)
\(\sqrt{2}\) लगभग (1.414) है, इसलिए क्रम \(0,\frac{1}{2},\sqrt{2},2\) है। परीक्षा में बढ़ता क्रम बाएं से दाएं होता है। / \(\sqrt{2}\) is about (1.414), so the order is \(0,\frac{1}{2},\sqrt{2},2\). In exams, increasing order is from left to right.
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What are the zeros of (p(x)=(2x-1)(x+4)) on the number line?
A. \(\frac{1}{2}\) और (-4)\(\frac{1}{2}\) and (-4)
(2x-1=0) से \(x=\frac{1}{2}\) और (x+4=0) से (x=-4) मिलता है। परीक्षा में प्रत्येक रैखिक गुणनखंड अलग हल करें। / From (2x-1=0), \(x=\frac{1}{2}\), and from (x+4=0), (x=-4). In exams, solve each linear factor separately.
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If (p(x)=(x-2)(x+3)), which zeros will appear on the number line?
C. (2) और (-3)(2) and (-3)
(x-2=0) से (2) और (x+3=0) से (-3) मिलता है। परीक्षा में हर गुणनखंड को (0) के बराबर रखें। / From (x-2=0) we get (2), and from (x+3=0) we get (-3). In exams, set each factor equal to (0).
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At which points will the solutions of \(x^2-25=0\) be found on the number line?
C. (-5) और (5)(-5) and (5)
\(x^2=25\) से \(x=\pm5\) मिलता है। परीक्षा में वर्ग लेने पर दोनों चिह्नों के हल मिलते हैं। / From \(x^2=25\), \(x=\pm5\). In exams, squaring gives solutions with both signs.
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Which point lies between (-2) and (-1) on the number line?
B. \(-\frac{3}{2}\)
\(-\frac{3}{2}=-1.5\), इसलिए यह (-2) और (-1) के बीच है। परीक्षा में ऋणात्मक भिन्न का दशमलव रूप मदद करता है। / \(-\frac{3}{2}=-1.5\), so it lies between (-2) and (-1). In exams, the decimal form of a negative fraction helps.
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Which number is not between (-1) and (0) on the number line?
C. \(-\frac{5}{4}\)
\(-\frac{5}{4}=-1.25\), जो (-1) से बाईं ओर है। परीक्षा में ऋणात्मक भिन्न को दशमलव में बदलकर जांच सकते हैं। / \(-\frac{5}{4}=-1.25\), which is to the left of (-1). In exams, convert negative fractions into decimals to check.
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On the number line, (y) is (3.25) units to the right of (-2). What is (y)?
A. (1.25)
दाईं ओर जाने पर (y=-2+3.25=1.25) है। परीक्षा में दिशा के अनुसार संख्या जोड़ें या घटाएं। / Moving right gives (y=-2+3.25=1.25). In exams, add or subtract according to direction.
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On the number line, (x) is at a distance (1.5) from (4) and (x<4). What is (x)?
A. (2.5)
क्योंकि (x<4), इसलिए (x=4-1.5=2.5) होगा। परीक्षा में दूरी के साथ दिशा की शर्त भी पढ़ें। / Since (x<4), (x=4-1.5=2.5). In exams, read the direction condition along with distance.
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Which point is exactly midway between (1.8) and (2.6) on the number line?
C. (2.2)
बीच का बिंदु \(\frac{1.8+2.6}{2}=2.2\) है। परीक्षा में ठीक बीच का अर्थ औसत होता है। / The middle point is \(\frac{1.8+2.6}{2}=2.2\). In exams, exactly midway means average.
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B. सातवां निशानSeventh mark
\(0.7=\frac{7}{10}\), इसलिए यह सातवां निशान है। परीक्षा में दशमलव को दहाई भागों से जोड़ें। / \(0.7=\frac{7}{10}\), so it is the seventh mark. In exams, connect decimals with tenths.
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Between which two integers will \(-\frac{22}{7}\) lie on the number line?
B. (-4) और (-3)(-4) and (-3)
\(-\frac{22}{7}\) लगभग (-3.14) है, इसलिए यह (-4) और (-3) के बीच है। परीक्षा में ऋणात्मक दशमलव का क्रम ध्यान रखें। / \(-\frac{22}{7}\) is about (-3.14), so it lies between (-4) and (-3). In exams, note the order of negative decimals.
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Between which two integers will \(\frac{19}{6}\) lie on the number line?
B. (3) और (4)(3) and (4)
\(\frac{19}{6}=3+\frac{1}{6}\), इसलिए यह (3) और (4) के बीच है। परीक्षा में भाग देकर पूर्ण भाग पहचानें। / \(\frac{19}{6}=3+\frac{1}{6}\), so it lies between (3) and (4). In exams, divide to identify the whole part.
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On the number line, which one will be to the right, \(a=\sqrt{12}\) or (b=3.5)?
B. (b)
\(\sqrt{12}\) लगभग (3.46) है और (3.5) उससे बड़ा है। परीक्षा में दाईं ओर बड़ी संख्या होती है। / \(\sqrt{12}\) is about (3.46), and (3.5) is greater. In exams, the greater number lies to the right.
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Which statement is correct on the number line?
C. \(-\sqrt{2}\) (0) के बाईं ओर है\(-\sqrt{2}\) is to the left of (0)
\(-\sqrt{2}\) ऋणात्मक है, इसलिए यह (0) के बाईं ओर होगा। परीक्षा में चिह्न देखकर दिशा तय करें। / \(-\sqrt{2}\) is negative, so it lies to the left of (0). In exams, decide direction from the sign.
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Between which two integers will \(3\sqrt{2}\) lie on the number line?
B. (4) और (5)(4) and (5)
\(3\sqrt{2}\) लगभग (4.24) है, इसलिए यह (4) और (5) के बीच है। परीक्षा में \(\sqrt{2}\) को लगभग (1.414) मानकर अनुमान लगा सकते हैं। / \(3\sqrt{2}\) is about (4.24), so it lies between (4) and (5). In exams, you may estimate \(\sqrt{2}\) as about (1.414).
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Which is the best simplified form for \(\sqrt{50}\) on the number line?
A. \(5\sqrt{2}\)
\(\sqrt{50}=\sqrt{25\cdot2}=5\sqrt{2}\) है। परीक्षा में वर्ग गुणनखंड निकालकर वर्गमूल सरल करें। / \(\sqrt{50}=\sqrt{25\cdot2}=5\sqrt{2}\). In exams, take out square factors to simplify roots.
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Between which two integers will \(-\sqrt{30}\) lie on the number line?
B. (-6) और (-5)(-6) and (-5)
क्योंकि \(\sqrt{30}\) (5) और (6) के बीच है, इसलिए \(-\sqrt{30}\) (-6) और (-5) के बीच होगा। परीक्षा में ऋणात्मक दिशा को ध्यान रखें। / Since \(\sqrt{30}\) lies between (5) and (6), \(-\sqrt{30}\) lies between (-6) and (-5). In exams, keep the negative direction in mind.
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Between which two integers will \(\sqrt{27}\) lie on the number line?
C. (5) और (6)(5) and (6)
क्योंकि \(5^2=25\) और \(6^2=36\), इसलिए \(\sqrt{27}\) (5) और (6) के बीच है। परीक्षा में निकट पूर्ण वर्गों को याद रखें। / Since \(5^2=25\) and \(6^2=36\), \(\sqrt{27}\) lies between (5) and (6). In exams, remember nearby perfect squares.
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On the number line, (x) is (2.5) units to the left of (1). What is the value of (x)?
B. (-1.5)
बाईं ओर जाने पर (x=1-2.5=-1.5) होगा। परीक्षा में बाईं दिशा को घटाव से जोड़ें। / Moving left gives (x=1-2.5=-1.5). In exams, connect left direction with subtraction.
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Which point is \(\frac{5}{2}\) units to the right of (-3) on the number line?
A. \(-\frac{1}{2}\)
दाईं ओर जाने पर \(-3+\frac{5}{2}=-\frac{1}{2}\) मिलता है। परीक्षा में दाईं चाल को जोड़ना समझें। / Moving right gives \(-3+\frac{5}{2}=-\frac{1}{2}\). In exams, treat right movement as addition.
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Which point is \(\frac{3}{4}\) unit to the left of (2) on the number line?
B. \(2-\frac{3}{4}\)
बाईं ओर जाने पर संख्या घटती है, इसलिए बिंदु \(2-\frac{3}{4}\) होगा। परीक्षा में दिशा के अनुसार जोड़ या घटाव चुनें। / Moving left decreases the number, so the point is \(2-\frac{3}{4}\). In exams, choose addition or subtraction according to direction.
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What is the distance from (A=1.2) to (B=3.75) on the number line?
C. (2.55) इकाई(2.55) units
दूरी (3.75-1.2=2.55) इकाई है। परीक्षा में दशमलव स्थानों को सही मिलाकर घटाएं। / The distance is (3.75-1.2=2.55) units. In exams, align decimal places correctly while subtracting.
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What is the distance between \(M=-\frac{4}{5}\) and \(N=\frac{1}{10}\) on the number line?
B. \(\frac{9}{10}\) इकाई\(\frac{9}{10}\) unit
दूरी (\frac{1}{10}-\left\(-\frac{4}{5}\right\)=\frac{9}{10}) इकाई है। परीक्षा में ऋणात्मक भिन्न जोड़ में बदल जाती है। / The distance is (\frac{1}{10}-\left\(-\frac{4}{5}\right\)=\frac{9}{10}) unit. In exams, subtracting a negative fraction becomes addition.
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If \(P=\frac{2}{3}\) and \(Q=\frac{5}{6}\) on the number line, what is the distance from (P) to (Q)?
A. \(\frac{1}{6}\) इकाई\(\frac{1}{6}\) unit
दूरी \(\frac{5}{6}-\frac{2}{3}=\frac{1}{6}\) इकाई है। परीक्षा में हर समान करके घटाएं। / The distance is \(\frac{5}{6}-\frac{2}{3}=\frac{1}{6}\) unit. In exams, make denominators equal before subtracting.
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Which fraction is equal to (-1.125) on the number line?
A. \(-\frac{9}{8}\)
\(-1.125=-\frac{1125}{1000}=-\frac{9}{8}\) है। परीक्षा में ऋण चिह्न को सरल करते समय साथ रखें। / \(-1.125=-\frac{1125}{1000}=-\frac{9}{8}\). In exams, keep the negative sign while simplifying.
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Which fraction correctly represents (0.375) on the number line?
A. \(\frac{3}{8}\)
\(0.375=\frac{375}{1000}=\frac{3}{8}\) है। परीक्षा में दशमलव को भिन्न में बदलकर सरल करें। / \(0.375=\frac{375}{1000}=\frac{3}{8}\). In exams, convert the decimal into a fraction and simplify.
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Which order is correct from left to right on the number line?
A. \(-\sqrt{3},-1,0,\sqrt{2}\)
क्योंकि \(-\sqrt{3}\) लगभग (-1.73) है, इसलिए यह (-1) से बाईं ओर है। परीक्षा में बाएं से दाएं क्रम बढ़ता है। / Since \(-\sqrt{3}\) is about (-1.73), it is left of (-1). In exams, order increases from left to right.
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