Level 49 • 50/50 questions • 40 seconds per question.
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Which number lies to the right of (0) on the number line?
A. (3)
संख्या रेखा पर धनात्मक संख्याएँ (0) के दाईं ओर होती हैं। दाईं ओर जाने पर संख्या का मान बढ़ता है। / Positive numbers lie to the right of (0) on the number line. The value increases as we move right.
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Where will \(\frac{3}{4}\) be shown on the number line?
A. (0) और (1) के बीचBetween (0) and (1)
\(\frac{3}{4}\) का मान (1) से कम और (0) से अधिक होता है। परीक्षा में भिन्न की स्थिति पहले उसके मान से पहचानें। / \(\frac{3}{4}\) is greater than (0) and less than (1). In exams first compare the fraction value with nearby integers.
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Which number lies to the left of (0) on the number line?
A. -(4)
ऋणात्मक संख्याएँ (0) के बाईं ओर स्थित होती हैं। बाईं ओर जाने पर संख्या का मान घटता है। / Negative numbers lie to the left of (0). The value decreases as we move left.
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Between which two integers will (-2.5) lie on the number line?
A. (-3) और (-2)(-3) and (-2)
ऋणात्मक दशमलव (-2.5), (-3) और (-2) के बीच आता है। ऋणात्मक संख्या में बाईं ओर जाने पर मान घटता है। / (-2.5) lies between (-3) and (-2). For negative numbers values decrease as we move left.
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Which number lies between (2) and (3) on the number line?
A. (2.5)
(2.5), (2) और (3) के बीच आता है। बीच की संख्या दोनों सिरों से छोटी-बड़ी तुलना करके पहचानें। / (2.5) lies between (2) and (3). Identify a middle number by comparing it with both endpoints.
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On the number line \(\sqrt{9}\) is the same as which point?
B. (3)
\(\sqrt{9}=3\), इसलिए यह बिंदु (3) पर होगा। पूर्ण वर्गों के वर्गमूल तुरंत पहचानें। / \(\sqrt{9}=3\), so it is located at point (3). Learn square roots of perfect squares for quick answers.
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Between which two integers does \(\frac{1}{2}\) lie on the number line?
A. (0) और (1)(0) and (1)
\(\frac{1}{2}=0.5\), इसलिए यह (0) और (1) के बीच है। भिन्न को दशमलव में सोचने से स्थान स्पष्ट होता है। / \(\frac{1}{2}=0.5\), so it lies between (0) and (1). Thinking of a fraction as a decimal helps locate it.
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Between which two consecutive integers will \(\sqrt{5}\) lie on the number line?
B. (2) और (3)(2) and (3)
क्योंकि \(2^2<5<3^2\), इसलिए \(\sqrt{5}\), (2) और (3) के बीच होगा। वर्गों से वर्गमूल की स्थिति जल्दी मिलती है। / Since \(2^2<5<3^2\), \(\sqrt{5}\) lies between (2) and (3). Use squares to locate square roots quickly.
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If point (A) is (1.2) units to the right of (0) on the number line, which number does (A) represent?
C. (1.2)
शून्य से दाईं ओर जाने पर संख्या धनात्मक होती है, इसलिए बिंदु (A=1.2) है। दिशा देखकर चिह्न तय करें। / Moving right from (0) gives a positive number, so (A=1.2). Check direction first to decide the sign.
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What is the distance from (4) to (6) on the number line?
A. (2) इकाई(2) units
दूरी (|6-4|=2) इकाई है। संख्या रेखा पर दूरी हमेशा धनात्मक मानी जाती है। / The distance is (|6-4|=2) units. Distance on the number line is always taken positive.
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On the number line \(-\frac{1}{2}\) will be at the same position as which value?
A. (-0.5)
\(-\frac{1}{2}=-0.5\), इसलिए दोनों एक ही बिंदु दिखाते हैं। भिन्न को दशमलव में बदलना तुलना को आसान बनाता है। / \(-\frac{1}{2}=-0.5\), so both represent the same point. Converting fractions to decimals makes comparison easier.
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What is the distance from (-3) to (2) on the number line?
A. (5) इकाई(5) units
दूरी (|2-(-3)|=5) इकाई है। ऋणात्मक संख्या घटाते समय चिह्न पर ध्यान दें। / The distance is (|2-(-3)|=5) units. Be careful with signs when subtracting a negative number.
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Which number is to the right on the number line between (-5) and (-2)?
A. -(2)
बड़ी संख्या संख्या रेखा पर दाईं ओर होती है और (-2>-5)। ऋणात्मक संख्याओं में (0) के पास वाली संख्या बड़ी होती है। / The greater number lies to the right and (-2>-5). Among negative numbers, the one closer to (0) is greater.
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C. (1) के बाद तीसरा भागThird part after (1)
\(1.75=1+\frac{3}{4}\), इसलिए यह (1) के बाद तीसरे बराबर भाग पर होगा। दशमलव को भिन्न में बदलकर स्थान पहचानना आसान होता है। / \(1.75=1+\frac{3}{4}\), so it lies at the third equal part after (1). Converting decimals to fractions helps locate points easily.
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Which fraction is equal to (1.25) on the number line?
A. \(\frac{5}{4}\)
\(1.25=\frac{125}{100}=\frac{5}{4}\)। दशमलव को भिन्न में बदलकर सही बिंदु पहचानें। / \(1.25=\frac{125}{100}=\frac{5}{4}\). Convert a decimal to a fraction to locate the point correctly.
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A. (4) भाग(4) parts
\(\frac{3}{4}\) में हर (4) है, इसलिए (0) से (1) को (4) बराबर भागों में बाँटते हैं। फिर (3) भाग दाईं ओर जाते हैं। / The denominator of \(\frac{3}{4}\) is (4), so divide (0) to (1) into (4) equal parts. Then move (3) parts to the right.
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Between which two integers does \(\frac{7}{4}\) lie on the number line?
A. (1) और (2)(1) and (2)
\(\frac{7}{4}=1.75\), इसलिए यह (1) और (2) के बीच है। अशुद्ध भिन्न को मिश्रित या दशमलव रूप में सोचें। / \(\frac{7}{4}=1.75\), so it lies between (1) and (2). Think of an improper fraction in mixed or decimal form.
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Which fraction is equal to (0.2) on the number line?
A. \(\frac{1}{5}\)
\(0.2=\frac{2}{10}=\frac{1}{5}\)। दशमलव स्थान देखकर सरल भिन्न बनाइए। / \(0.2=\frac{2}{10}=\frac{1}{5}\). Use decimal place value to form the simplest fraction.
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Which point is equal to (0.75) on the number line?
A. \(\frac{3}{4}\)
\(0.75=\frac{75}{100}=\frac{3}{4}\)। (0) से (1) के बीच यह तीन-चौथाई दूरी पर है। / \(0.75=\frac{75}{100}=\frac{3}{4}\). It is three-fourths of the distance from (0) to (1).
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Between which two integers does \(\sqrt{2}\) lie on the number line?
A. (1) और (2)(1) and (2)
क्योंकि \(1^2<2<2^2\), इसलिए \(1<\sqrt{2}<2\)। वर्गों की तुलना करके वर्गमूल का स्थान पहचानें। / Since \(1^2<2<2^2\), we get \(1<\sqrt{2}<2\). Compare squares to locate a square root.
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Between which two integers does \(\sqrt{3}\) lie on the number line?
A. (1) और (2)(1) and (2)
क्योंकि \(1^2<3<2^2\), इसलिए \(\sqrt{3}\), (1) और (2) के बीच है। वर्गमूल के लिए नजदीकी पूर्ण वर्ग देखें। / Since \(1^2<3<2^2\), \(\sqrt{3}\) lies between (1) and (2). For square roots, check nearby perfect squares.
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Between which two integers does \(\sqrt{5}\) lie on the number line?
A. (2) और (3)(2) and (3)
क्योंकि \(2^2<5<3^2\), इसलिए \(\sqrt{5}\), (2) और (3) के बीच है। पूर्ण वर्गों से अंतराल जल्दी मिल जाता है। / Since \(2^2<5<3^2\), \(\sqrt{5}\) lies between (2) and (3). Perfect squares quickly give the interval.
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Which number is equal to \(\sqrt{9}\) on the number line?
A. (3)
\(\sqrt{9}=3\), इसलिए यह (3) के बिंदु पर होगा। वर्गमूल का मुख्य मान धनात्मक लिया जाता है। / \(\sqrt{9}=3\), so it is at the point (3). The principal square root is taken positive.
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What is the position of \(\sqrt{16}\) on the number line?
A. (4)
\(\sqrt{16}=4\), इसलिए इसका स्थान (4) है। पूर्ण वर्गों के वर्गमूल सीधे पहचाने जा सकते हैं। / \(\sqrt{16}=4\), so its position is (4). Square roots of perfect squares can be identified directly.
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Between which two integers does \(\sqrt{10}\) lie on the number line?
A. (3) और (4)(3) and (4)
क्योंकि \(3^2<10<4^2\), इसलिए \(\sqrt{10}\), (3) और (4) के बीच है। हमेशा (n) को पास के पूर्ण वर्गों के बीच रखें। / Since \(3^2<10<4^2\), \(\sqrt{10}\) lies between (3) and (4). Always place (n) between nearby perfect squares.
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Which is the correct formula for the distance between two numbers (a) and (b) on the number line?
A. (|a-b|)
संख्या रेखा पर दूरी (|a-b|) होती है। निरपेक्ष मान दूरी को धनात्मक बनाता है। / The distance on the number line is (|a-b|). Absolute value makes the distance positive.
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What is the midpoint of (1) and (5) on the number line?
A. (3)
मध्य बिंदु \(\frac{1+5}{2}=3\) है। दो बिंदुओं के बीच औसत उनका मध्य बिंदु देता है। / The midpoint is \(\frac{1+5}{2}=3\). The average of two points gives their midpoint.
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What is the midpoint of (-4) and (2) on the number line?
A. -(1)
मध्य बिंदु \(\frac{-4+2}{2}=-1\) है। ऋणात्मक संख्याओं को जोड़ते समय चिह्न का ध्यान रखें। / The midpoint is \(\frac{-4+2}{2}=-1\). Pay attention to signs when adding negative numbers.
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Which point is reached by moving (5) units to the right from (0) on the number line?
A. (5)
दाईं ओर (5) इकाई चलने से (0+5=5) मिलता है। दाईं ओर चलना जोड़ने जैसा है। / Moving (5) units right gives (0+5=5). Moving right is like addition.
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Which point is reached by moving (6) units to the left from (0) on the number line?
A. -(6)
बाईं ओर (6) इकाई चलने से (0-6=-6) मिलता है। बाईं ओर चलना घटाने जैसा है। / Moving (6) units left gives (0-6=-6). Moving left is like subtraction.
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Which point is reached by moving (3) units to the right from (2) on the number line?
A. (5)
(2) से दाईं ओर (3) इकाई चलने पर (2+3=5) मिलता है। दाईं ओर जाने पर मान बढ़ता है। / Moving (3) units right from (2) gives (2+3=5). The value increases when moving right.
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Which point is reached by moving (5) units to the left from (2) on the number line?
A. -(3)
(2) से बाईं ओर (5) इकाई चलने पर (2-5=-3) मिलता है। बाईं ओर जाने पर मान घटता है। / Moving (5) units left from (2) gives (2-5=-3). The value decreases when moving left.
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Which point is reached by moving (7) units to the right from (-2) on the number line?
A. (5)
-(2+7=5), इसलिए अंतिम बिंदु (5) है। दाईं ओर चलना धनात्मक जोड़ है। / (-2+7=5), so the final point is (5). Moving right means adding a positive number.
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Which point is reached by moving (4) units to the left from (-3) on the number line?
A. -(7)
-(3-4=-7), इसलिए बिंदु (-7) मिलेगा। ऋणात्मक दिशा में चलने पर संख्या और छोटी होती है। / (-3-4=-7), so the point reached is (-7). Moving in the negative direction makes the number smaller.
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Between which two integers does \(\frac{5}{2}\) lie on the number line?
A. (2) और (3)(2) and (3)
\(\frac{5}{2}=2.5\), इसलिए यह (2) और (3) के बीच है। भिन्न को दशमलव रूप में बदलना आसान तरीका है। / \( \frac{5}{2}=2.5\), so it lies between (2) and (3). Converting a fraction to decimal is an easy method.
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Between which points will \(-\frac{5}{2}\) lie on the number line?
A. -(3) और (-2)(-3) and (-2)
-\(\frac{5}{2}=-2.5\), इसलिए यह (-3) और (-2) के बीच है। ऋणात्मक मान को (0) के बाईं ओर रखें। / -\(\frac{5}{2}=-2.5\), so it lies between (-3) and (-2). Place negative values to the left of (0).
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To represent (0.4) on the number line, into how many equal parts is it useful to divide (0) to (1)?
A. (10) भाग(10) parts
\(0.4=\frac{4}{10}\), इसलिए (0) से (1) को (10) बराबर भागों में बाँटना उपयोगी है। फिर (4) भाग आगे बढ़ें। / \(0.4=\frac{4}{10}\), so it is useful to divide (0) to (1) into (10) equal parts. Then move (4) parts ahead.
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Which point lies to the right between (0.6) and (0.8) on the number line?
A. (0.8)
क्योंकि (0.8>0.6), इसलिए (0.8) दाईं ओर है। बड़ी संख्या हमेशा संख्या रेखा पर दाईं ओर होती है। / Since (0.8>0.6), (0.8) lies to the right. The greater number is always on the right on a number line.
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Which fraction is equal to (3.5) on the number line?
A. \(\frac{7}{2}\)
\(3.5=\frac{35}{10}=\frac{7}{2}\)। दशमलव को सरल भिन्न में बदलकर सही स्थान तय करें। / \(3.5=\frac{35}{10}=\frac{7}{2}\). Convert the decimal to a simplest fraction to fix its position.
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Which right triangle hypotenuse is useful to construct \(\sqrt{2}\) on the number line?
A. भुजाएँ (1) और (1)Legs (1) and (1)
समकोण त्रिभुज की भुजाएँ (1) और (1) होने पर कर्ण \(\sqrt{1^2+1^2}=\sqrt{2}\) होता है। इसी लंबाई को संख्या रेखा पर चाप से रखते हैं। / If the legs are (1) and (1), the hypotenuse is \(\sqrt{1^2+1^2}=\sqrt{2}\). This length is transferred to the number line with an arc.
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Which legs are useful to construct \(\sqrt{5}\) on the number line?
A. (1) और (2)(1) and (2)
समकोण त्रिभुज में भुजाएँ (1) और (2) हों तो कर्ण \(\sqrt{1^2+2^2}=\sqrt{5}\) होता है। पाइथागोरस प्रमेय से ऐसी लंबाई मिलती है। / In a right triangle with legs (1) and (2), the hypotenuse is \(\sqrt{1^2+2^2}=\sqrt{5}\). Such lengths come from the Pythagoras theorem.
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Between which two integers does \(\sqrt{8}\) lie on the number line?
A. (2) और (3)(2) and (3)
क्योंकि \(2^2<8<3^2\), इसलिए \(\sqrt{8}\), (2) और (3) के बीच है। पहले पास के पूर्ण वर्ग पहचानें। / Since \(2^2<8<3^2\), \(\sqrt{8}\) lies between (2) and (3). First identify nearby perfect squares.
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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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Which number lies between (1.4) and (1.5) on the number line?
A. (1.45)
(1.45), (1.4) से बड़ा और (1.5) से छोटा है। दशमलव संख्याओं की तुलना स्थान मान से करें। / (1.45) is greater than (1.4) and less than (1.5). Compare decimals using place value.
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Which points are (3) units away from (2) on the number line?
A. -(1) और (5)(-1) and (5)
(2-3=-1) और (2+3=5), इसलिए दोनों बिंदु (3) इकाई दूर हैं। दूरी के लिए दोनों दिशाएँ जाँचें। / (2-3=-1) and (2+3=5), so both points are (3) units away. Check both directions for distance.
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Which points are (4) units away from (-2) on the number line?
A. -(6) और (2)(-6) and (2)
-(2-4=-6) और (-2+4=2), इसलिए दोनों सही बिंदु हैं। दूरी बाईं और दाईं दोनों ओर हो सकती है। / (-2-4=-6) and (-2+4=2), so both are correct points. Distance can be on both left and right sides.
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If (a>b) on the number line, which statement is correct?
A. (a), (b) के दाईं ओर है(a) is to the right of (b)
यदि (a>b), तो (a) संख्या रेखा पर (b) के दाईं ओर होगा। बड़ी संख्या दाईं ओर रखी जाती है। / If (a>b), then (a) is to the right of (b) on the number line. The greater number is placed on the right.
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What is the exact middle point between (0) and (2) on the number line?
A. (1)
मध्य बिंदु \(\frac{0+2}{2}=1\) है। बीच का बिंदु दोनों सिरों से बराबर दूरी पर होता है। / The midpoint is \(\frac{0+2}{2}=1\). The middle point is equally distant from both endpoints.
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What is the exact middle point between (-1) and (1) on the number line?
A. (0)
मध्य बिंदु \(\frac{-1+1}{2}=0\) है। सममित बिंदुओं का मध्य (0) होता है। / The midpoint is \(\frac{-1+1}{2}=0\). Symmetric points have midpoint (0).
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Which fraction is equal to (2.25) on the number line?
A. \(\frac{9}{4}\)
\(2.25=\frac{225}{100}=\frac{9}{4}\)। दशमलव को सरल भिन्न में बदलना सही बिंदु देता है। / \(2.25=\frac{225}{100}=\frac{9}{4}\). Converting a decimal to simplest fraction gives the correct point.
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