समकोण त्रिभुज में भुजाएं (3) और (4) लेकर संख्या रेखा पर कौन सा मान बनाया जा सकता है?
Using sides (3) and (4) in a right triangle, which value can be constructed on the number line?
#number-line
#construction
#pythagoras
#real-numbers
A (5)
B (6)
C (7)
D (12)
Explanation opens after your attempt
Step 1
Concept
The hypotenuse is \(\sqrt{3^2+4^2}=5\). This is a direct use of a Pythagorean triple.
Step 2
Why this answer is correct
The correct answer is A. (5). The hypotenuse is \(\sqrt{3^2+4^2}=5\). This is a direct use of a Pythagorean triple.
Step 3
Exam Tip
कर्ण \(\sqrt{3^2+4^2}=5\) होता है। यह पाइथागोरस त्रिक का सीधा उपयोग है।
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संख्या रेखा पर \(\frac{5}{4}\) और \(\frac{9}{4}\) के ठीक बीच कौन सा बिंदु होगा?
Which point lies exactly midway between \(\frac{5}{4}\) and \(\frac{9}{4}\) on the number line?
#number-line
#fractions
#midpoint
#average
A \(\frac{6}{4}\)
B \(\frac{7}{4}\)
C \(\frac{8}{4}\)
D \(\frac{14}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{7}{4}\)
Step 1
Concept
The midpoint is \(\frac{\frac{5}{4}+\frac{9}{4}}{2}=\frac{7}{4}\). The average of two fractions gives the midpoint.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{7}{4}\). The midpoint is \(\frac{\frac{5}{4}+\frac{9}{4}}{2}=\frac{7}{4}\). The average of two fractions gives the midpoint.
Step 3
Exam Tip
मध्य बिंदु \(\frac{\frac{5}{4}+\frac{9}{4}}{2}=\frac{7}{4}\) है। दो भिन्नों का औसत मध्य बिंदु देता है।
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संख्या रेखा पर (-1.25) के समान बिंदु कौन सा भिन्न दिखाता है?
Which fraction shows the same point as (-1.25) on the number line?
#number-line
#decimal-to-fraction
#negative-rational
#equivalent
A \(-\frac{3}{4}\)
B \(-\frac{5}{4}\)
C \(\frac{5}{4}\)
D \(-\frac{7}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(-\frac{5}{4}\)
Step 1
Concept
\(-1.25=-\frac{125}{100}=-\frac{5}{4}\). Convert the decimal into a simplified fraction.
Step 2
Why this answer is correct
The correct answer is B. \(-\frac{5}{4}\). \(-1.25=-\frac{125}{100}=-\frac{5}{4}\). Convert the decimal into a simplified fraction.
Step 3
Exam Tip
\(-1.25=-\frac{125}{100}=-\frac{5}{4}\) है। दशमलव को सरल भिन्न में बदलें।
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यदि \(\sqrt{n}\) संख्या रेखा पर (6) और (7) के बीच है तो (n) का कौन सा मान संभव है?
If \(\sqrt{n}\) lies between (6) and (7) on the number line, which value of (n) is possible?
#number-line
#square-root
#inequality
#reasoning
A (30)
B (35)
C (40)
D (50)
Explanation opens after your attempt
Step 1
Concept
For this, (36<n<49) is needed, and (40) lies in this range. Square the root bounds to check.
Step 2
Why this answer is correct
The correct answer is C. (40). For this, (36<n<49) is needed, and (40) lies in this range. Square the root bounds to check.
Step 3
Exam Tip
इसके लिए (36<n<49) होना चाहिए और (40) इसी सीमा में है। वर्गमूल की सीमा को वर्ग करके जांचें।
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संख्या रेखा पर \(\sqrt{25}\) और \(-\sqrt{9}\) के बीच की दूरी कितनी है?
What is the distance between \(\sqrt{25}\) and \(-\sqrt{9}\) on the number line?
#number-line
#distance
#perfect-square
#roots
A (2)
B (5)
C (8)
D (14)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{25}=5\) and \(-\sqrt{9}=-3\), so the distance is (|5-(-3)|=8). Simplify square roots first.
Step 2
Why this answer is correct
The correct answer is C. (8). \(\sqrt{25}=5\) and \(-\sqrt{9}=-3\), so the distance is (|5-(-3)|=8). Simplify square roots first.
Step 3
Exam Tip
\(\sqrt{25}=5\) और \(-\sqrt{9}=-3\), इसलिए दूरी (|5-(-3)|=8) है। पहले वर्गमूल सरल करें।
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कौन सी संख्या संख्या रेखा पर \(\sqrt{3}\) और (2) के बीच स्थित है?
Which number lies between \(\sqrt{3}\) and (2) on the number line?
#number-line
#between
#irrational-numbers
#estimation
A (1.6)
B (1.8)
C (2.1)
D (3)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{3}\approx1.73\), and (1.8) lies between (1.73) and (2). Use estimation to choose the middle value.
Step 2
Why this answer is correct
The correct answer is B. (1.8). \(\sqrt{3}\approx1.73\), and (1.8) lies between (1.73) and (2). Use estimation to choose the middle value.
Step 3
Exam Tip
\(\sqrt{3}\approx1.73\) है और (1.8), (1.73) तथा (2) के बीच है। अनुमान से बीच की संख्या चुनें।
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यदि (-1) से दाईं ओर प्रत्येक कदम (0.25) का हो तो तीसरे कदम पर कौन सा बिंदु मिलेगा?
If each step to the right from (-1) is (0.25), which point will be reached at the third step?
#number-line
#steps
#decimals
#negative-numbers
A (-0.75)
B (-0.5)
C (-0.25)
D (0.25)
Explanation opens after your attempt
Correct Answer
C. (-0.25)
Step 1
Concept
After the third step, the value is \(-1+3\times0.25=-0.25\). For equal steps, multiply step number by step length.
Step 2
Why this answer is correct
The correct answer is C. (-0.25). After the third step, the value is \(-1+3\times0.25=-0.25\). For equal steps, multiply step number by step length.
Step 3
Exam Tip
तीसरे कदम के बाद मान \(-1+3\times0.25=-0.25\) है। बराबर कदमों में कदम संख्या को लंबाई से गुणा करें।
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यदि (-1) से (1) तक की दूरी को (8) बराबर भागों में बांटा जाए तो प्रत्येक भाग की लंबाई क्या होगी?
If the distance from (-1) to (1) is divided into (8) equal parts, what is the length of each part?
#number-line
#equal-division
#distance
#fractions
A \(\frac{1}{8}\)
B \(\frac{1}{4}\)
C \(\frac{1}{2}\)
D (1)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{4}\)
Step 1
Concept
The total distance is (2), so each part is \(\frac{2}{8}=\frac{1}{4}\). Find the distance and divide by equal parts.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{1}{4}\). The total distance is (2), so each part is \(\frac{2}{8}=\frac{1}{4}\). Find the distance and divide by equal parts.
Step 3
Exam Tip
कुल दूरी (2) है इसलिए प्रत्येक भाग \(\frac{2}{8}=\frac{1}{4}\) होगा। दूरी निकालकर बराबर भागों से विभाजित करें।
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संख्या रेखा पर \(2+\sqrt{5}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(2+\sqrt{5}\) lie on the number line?
#number-line
#irrational-numbers
#addition
#estimation
A (2) और (3) / (2) and (3)
B (3) और (4) / (3) and (4)
C (4) और (5) / (4) and (5)
D (5) और (6) / (5) and (6)
Explanation opens after your attempt
Correct Answer
C. (4) और (5) / (4) and (5)
Step 1
Concept
\(\sqrt{5}\approx2.24\), so \(2+\sqrt{5}\approx4.24\). It lies between (4) and (5).
Step 2
Why this answer is correct
The correct answer is C. (4) और (5) / (4) and (5). \(\sqrt{5}\approx2.24\), so \(2+\sqrt{5}\approx4.24\). It lies between (4) and (5).
Step 3
Exam Tip
\(\sqrt{5}\approx2.24\), इसलिए \(2+\sqrt{5}\approx4.24\) है। यह (4) और (5) के बीच आता है।
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संख्या रेखा पर \(\sqrt{50}\) किस दो पूर्णांकों के बीच स्थित होगा?
Between which two integers will \(\sqrt{50}\) be located on the number line?
#number-line
#square-root
#interval
#comparison
A (5) और (6) / (5) and (6)
B (6) और (7) / (6) and (7)
C (7) और (8) / (7) and (8)
D (8) और (9) / (8) and (9)
Explanation opens after your attempt
Correct Answer
C. (7) और (8) / (7) and (8)
Step 1
Concept
Since \(7^2<50<8^2\), \(\sqrt{50}\) lies between (7) and (8). Use perfect squares to decide the interval.
Step 2
Why this answer is correct
The correct answer is C. (7) और (8) / (7) and (8). Since \(7^2<50<8^2\), \(\sqrt{50}\) lies between (7) and (8). Use perfect squares to decide the interval.
Step 3
Exam Tip
क्योंकि \(7^2<50<8^2\), इसलिए \(\sqrt{50}\) (7) और (8) के बीच है। पूर्ण वर्गों से अंतराल तय करें।
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संख्या रेखा पर \(\frac{4}{3}\), \(\sqrt{2}\), और (1.5) का बाएं से दाएं सही क्रम क्या है?
What is the correct left to right order of \(\frac{4}{3}\), \(\sqrt{2}\), and (1.5) on the number line?
#number-line
#order
#fractions
#irrational-numbers
A \(\frac{4}{3},\sqrt{2},1.5\)
B \(\sqrt{2},\frac{4}{3},1.5\)
C \(1.5,\sqrt{2},\frac{4}{3}\)
D \(\frac{4}{3},1.5,\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{4}{3},\sqrt{2},1.5\)
Step 1
Concept
\(\frac{4}{3}\approx1.33\) and \(\sqrt{2}\approx1.41\), so the order is \(\frac{4}{3}<\sqrt{2}<1.5\). Estimate values for comparison.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{4}{3},\sqrt{2},1.5\). \(\frac{4}{3}\approx1.33\) and \(\sqrt{2}\approx1.41\), so the order is \(\frac{4}{3}<\sqrt{2}<1.5\). Estimate values for comparison.
Step 3
Exam Tip
\(\frac{4}{3}\approx1.33\), \(\sqrt{2}\approx1.41\), इसलिए क्रम \(\frac{4}{3}<\sqrt{2}<1.5\) है। तुलना के लिए अनुमान लगाएं।
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यदि (1.25) से (2.75) इकाई बाईं ओर चला जाए तो अंतिम बिंदु कौन सा होगा?
If we move (2.75) units left from (1.25), what will be the final point?
#number-line
#movement
#decimals
#direction
A (-1.5)
B (-0.5)
C (1.5)
D (4)
Explanation opens after your attempt
Step 1
Concept
Moving left means subtracting, so (1.25-2.75=-1.5). Choose the operation according to direction.
Step 2
Why this answer is correct
The correct answer is A. (-1.5). Moving left means subtracting, so (1.25-2.75=-1.5). Choose the operation according to direction.
Step 3
Exam Tip
बाईं ओर जाने पर घटाते हैं इसलिए (1.25-2.75=-1.5) होगा। दिशा के अनुसार क्रिया चुनें।
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संख्या रेखा पर \(\sqrt{45}\) किस पूर्णांक के सबसे निकट होगा?
On the number line, \(\sqrt{45}\) will be closest to which integer?
#number-line
#estimation
#square-root
#nearest-integer
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{45}\) is about (6.7), so it is closer to (7). Nearby perfect squares (36) and (49) help in estimation.
Step 2
Why this answer is correct
The correct answer is C. (7). \(\sqrt{45}\) is about (6.7), so it is closer to (7). Nearby perfect squares (36) and (49) help in estimation.
Step 3
Exam Tip
\(\sqrt{45}\) लगभग (6.7) है इसलिए यह (7) के अधिक पास है। अनुमान में पास के पूर्ण वर्ग (36) और (49) उपयोगी हैं।
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संख्या रेखा पर (2.125) के समान बिंदु को कौन सा भिन्न दिखाता है?
Which fraction represents the same point as (2.125) on the number line?
#number-line
#decimal-to-fraction
#rational-numbers
#equivalent
A \(\frac{15}{8}\)
B \(\frac{16}{8}\)
C \(\frac{17}{8}\)
D \(\frac{19}{8}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{17}{8}\)
Step 1
Concept
\(2.125=2+0.125=2+\frac{1}{8}=\frac{17}{8}\). Convert decimals to fractions to identify the same point.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{17}{8}\). \(2.125=2+0.125=2+\frac{1}{8}=\frac{17}{8}\). Convert decimals to fractions to identify the same point.
Step 3
Exam Tip
\(2.125=2+0.125=2+\frac{1}{8}=\frac{17}{8}\) है। दशमलव को भिन्न में बदलकर समान बिंदु पहचानें।
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संख्या रेखा पर (-1.6) और (2.8) के मध्य बिंदु का मान क्या है?
What is the midpoint of (-1.6) and (2.8) on the number line?
#number-line
#midpoint
#decimals
#average
A (0.4)
B (0.6)
C (1.2)
D (4.4)
Explanation opens after your attempt
Step 1
Concept
The midpoint is \(\frac{-1.6+2.8}{2}=0.6\). Take the average of the two values for the midpoint.
Step 2
Why this answer is correct
The correct answer is B. (0.6). The midpoint is \(\frac{-1.6+2.8}{2}=0.6\). Take the average of the two values for the midpoint.
Step 3
Exam Tip
मध्य बिंदु \(\frac{-1.6+2.8}{2}=0.6\) है। मध्य बिंदु के लिए दोनों मानों का औसत लें।
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संख्या रेखा पर \(-\sqrt{6}\) और (-2.4) में कौन सा बिंदु दाईं ओर होगा?
On the number line, which point will be to the right, \(-\sqrt{6}\) or (-2.4)?
#number-line
#negative-irrational
#comparison
#order
A \(-\sqrt{6}\)
B (-2.4)
C दोनों समान हैं / Both are equal
D दोनों (0) के दाईं ओर हैं / Both are right of (0)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{6}\) is about (2.45), so \(-\sqrt{6}\) is about (-2.45). (-2.4) is greater, so it is to the right.
Step 2
Why this answer is correct
The correct answer is B. (-2.4). \(\sqrt{6}\) is about (2.45), so \(-\sqrt{6}\) is about (-2.45). (-2.4) is greater, so it is to the right.
Step 3
Exam Tip
\(\sqrt{6}\) लगभग (2.45) है इसलिए \(-\sqrt{6}\) लगभग (-2.45) होगा। (-2.4) बड़ा है इसलिए दाईं ओर है।
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संख्या रेखा पर \(-\sqrt{16}\) और (2.5) के बीच की दूरी कितनी है?
What is the distance between \(-\sqrt{16}\) and (2.5) on the number line?
#number-line
#distance
#square-root
#absolute-value
A (4.5)
B (5.5)
C (6.5)
D (8.5)
Explanation opens after your attempt
Step 1
Concept
\(-\sqrt{16}=-4\), so the distance is (|2.5-(-4)|=6.5). Distance is always taken positive.
Step 2
Why this answer is correct
The correct answer is C. (6.5). \(-\sqrt{16}=-4\), so the distance is (|2.5-(-4)|=6.5). Distance is always taken positive.
Step 3
Exam Tip
\(-\sqrt{16}=-4\), इसलिए दूरी (|2.5-(-4)|=6.5) है। दूरी हमेशा धनात्मक लेते हैं।
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यदि (0) से (3) तक की रेखा को (12) बराबर भागों में बांटा जाए तो (0) के बाद सातवां बिंदु कौन सा मान दिखाएगा?
If the line segment from (0) to (3) is divided into (12) equal parts, what value will the seventh point after (0) show?
#number-line
#equal-parts
#fractions
#scale
A \(\frac{5}{4}\)
B \(\frac{7}{4}\)
C \(\frac{9}{4}\)
D \(\frac{11}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{7}{4}\)
Step 1
Concept
Each part is \(\frac{3}{12}=\frac{1}{4}\), so the seventh point is \(\frac{7}{4}\). Divide the total length by equal parts.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{7}{4}\). Each part is \(\frac{3}{12}=\frac{1}{4}\), so the seventh point is \(\frac{7}{4}\). Divide the total length by equal parts.
Step 3
Exam Tip
प्रत्येक भाग \(\frac{3}{12}=\frac{1}{4}\) है इसलिए सातवां बिंदु \(\frac{7}{4}\) है। कुल लंबाई को बराबर भागों से बांटें।
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संख्या रेखा पर \(\sqrt{26}\) किस दो क्रमागत पूर्णांकों के बीच होगा?
Between which two consecutive integers will \(\sqrt{26}\) lie on the number line?
#number-line
#irrational-numbers
#square-root
#comparison
A (4) और (5) / (4) and (5)
B (5) और (6) / (5) and (6)
C (6) और (7) / (6) and (7)
D (7) और (8) / (7) and (8)
Explanation opens after your attempt
Correct Answer
B. (5) और (6) / (5) and (6)
Step 1
Concept
Since \(5^2<26<6^2\), \(\sqrt{26}\) lies between (5) and (6). Check nearby perfect squares.
Step 2
Why this answer is correct
The correct answer is B. (5) और (6) / (5) and (6). Since \(5^2<26<6^2\), \(\sqrt{26}\) lies between (5) and (6). Check nearby perfect squares.
Step 3
Exam Tip
क्योंकि \(5^2<26<6^2\), इसलिए \(\sqrt{26}\) (5) और (6) के बीच होगा। पास के पूर्ण वर्ग देखें।
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संख्या रेखा पर \(\sqrt{17}\) बनाने के लिए समकोण त्रिभुज की लंब भुजाएं (4) और (1) ली गई हैं। कर्ण की लंबाई क्या होगी?
To construct \(\sqrt{17}\) on the number line, the perpendicular sides of a right triangle are taken as (4) and (1). What will be the length of the hypotenuse?
#number-line
#square-root
#construction
#pythagoras
A \(\sqrt{15}\)
B \(\sqrt{17}\)
C (5)
D (17)
Explanation opens after your attempt
Correct Answer
B. \(\sqrt{17}\)
Step 1
Concept
The hypotenuse is \(\sqrt{4^2+1^2}=\sqrt{17}\). Use Pythagoras in this type of construction.
Step 2
Why this answer is correct
The correct answer is B. \(\sqrt{17}\). The hypotenuse is \(\sqrt{4^2+1^2}=\sqrt{17}\). Use Pythagoras in this type of construction.
Step 3
Exam Tip
कर्ण \(=\sqrt{4^2+1^2}=\sqrt{17}\) होगा। ऐसी रचना में पाइथागोरस प्रमेय लगाएं।
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संख्या रेखा पर \(x=-\sqrt{2}\) और \(y=-\frac{3}{2}\) में कौन सा बिंदु दाईं ओर होगा?
On the number line, which point is to the right, \(x=-\sqrt{2}\) or \(y=-\frac{3}{2}\)?
#polynomials
#number-line
#negative-comparison
#medium
A (x)
B (y)
C दोनों समान / Both equal
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Step 1
Concept
\(-\sqrt{2}\) 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.
Step 2
Why this answer is correct
The correct answer is A. (x). \(-\sqrt{2}\) 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.
Step 3
Exam Tip
\(-\sqrt{2}\) 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।
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संख्या रेखा पर (0), \(\frac{1}{2}\), \(\sqrt{2}\), और (2) का सही बढ़ता क्रम कौन सा है?
What is the correct increasing order of (0), \(\frac{1}{2}\), \(\sqrt{2}\), and (2) on the number line?
#polynomials
#number-line
#increasing-order
#medium
A \(0,\frac{1}{2},\sqrt{2},2\)
B \(0,\sqrt{2},\frac{1}{2},2\)
C \(\frac{1}{2},0,\sqrt{2},2\)
D \(2,\sqrt{2},\frac{1}{2},0\)
Explanation opens after your attempt
Correct Answer
A. \(0,\frac{1}{2},\sqrt{2},2\)
Step 1
Concept
\(\sqrt{2}\) is about (1.414), so the order is \(0,\frac{1}{2},\sqrt{2},2\). In exams, increasing order is from left to right.
Step 2
Why this answer is correct
The correct answer is A. \(0,\frac{1}{2},\sqrt{2},2\). \(\sqrt{2}\) is about (1.414), so the order is \(0,\frac{1}{2},\sqrt{2},2\). In exams, increasing order is from left to right.
Step 3
Exam Tip
\(\sqrt{2}\) लगभग (1.414) है, इसलिए क्रम \(0,\frac{1}{2},\sqrt{2},2\) है। परीक्षा में बढ़ता क्रम बाएं से दाएं होता है।
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संख्या रेखा पर (p(x)=(2x-1)(x+4)) के शून्यक कौन से हैं?
What are the zeros of (p(x)=(2x-1)(x+4)) on the number line?
#polynomials
#number-line
#polynomial-zeros
#medium
A \(\frac{1}{2}\) और (-4) / \(\frac{1}{2}\) and (-4)
B \(-\frac{1}{2}\) और (4) / \(-\frac{1}{2}\) and (4)
C (2) और (-4) / (2) and (-4)
D (1) और (4) / (1) and (4)
Explanation opens after your attempt
Correct Answer
A. \(\frac{1}{2}\) और (-4) / \(\frac{1}{2}\) and (-4)
Step 1
Concept
From (2x-1=0), \(x=\frac{1}{2}\), and from (x+4=0), (x=-4). In exams, solve each linear factor separately.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{1}{2}\) और (-4) / \(\frac{1}{2}\) and (-4). From (2x-1=0), \(x=\frac{1}{2}\), and from (x+4=0), (x=-4). In exams, solve each linear factor separately.
Step 3
Exam Tip
(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।
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यदि (p(x)=(x-2)(x+3)), तो शून्यक संख्या रेखा पर कौन से होंगे?
If (p(x)=(x-2)(x+3)), which zeros will appear on the number line?
#polynomials
#number-line
#factored-polynomial
#medium
A (2) और (3) / (2) and (3)
B (-2) और (3) / (-2) and (3)
C (2) और (-3) / (2) and (-3)
D (-2) और (-3) / (-2) and (-3)
Explanation opens after your attempt
Correct Answer
C. (2) और (-3) / (2) and (-3)
Step 1
Concept
From (x-2=0) we get (2), and from (x+3=0) we get (-3). In exams, set each factor equal to (0).
Step 2
Why this answer is correct
The correct answer is C. (2) और (-3) / (2) and (-3). From (x-2=0) we get (2), and from (x+3=0) we get (-3). In exams, set each factor equal to (0).
Step 3
Exam Tip
(x-2=0) से (2) और (x+3=0) से (-3) मिलता है। परीक्षा में हर गुणनखंड को (0) के बराबर रखें।
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संख्या रेखा पर \(x^2-25=0\) के हल किन बिंदुओं पर मिलेंगे?
At which points will the solutions of \(x^2-25=0\) be found on the number line?
#polynomials
#number-line
#quadratic-solutions
#medium
A (0) और (25) / (0) and (25)
B (5) और (25) / (5) and (25)
C (-5) और (5) / (-5) and (5)
D (-25) और (25) / (-25) and (25)
Explanation opens after your attempt
Correct Answer
C. (-5) और (5) / (-5) and (5)
Step 1
Concept
From \(x^2=25\), \(x=\pm5\). In exams, squaring gives solutions with both signs.
Step 2
Why this answer is correct
The correct answer is C. (-5) और (5) / (-5) and (5). From \(x^2=25\), \(x=\pm5\). In exams, squaring gives solutions with both signs.
Step 3
Exam Tip
\(x^2=25\) से \(x=\pm5\) मिलता है। परीक्षा में वर्ग लेने पर दोनों चिह्नों के हल मिलते हैं।
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संख्या रेखा पर कौन सा बिंदु (-2) और (-1) के बीच स्थित है?
Which point lies between (-2) and (-1) on the number line?
#polynomials
#number-line
#negative-interval
#medium
A \(-\frac{5}{2}\)
B \(-\frac{3}{2}\)
C \(-\frac{1}{2}\)
D (1.5)
Explanation opens after your attempt
Correct Answer
B. \(-\frac{3}{2}\)
Step 1
Concept
\(-\frac{3}{2}=-1.5\), so it lies between (-2) and (-1). In exams, the decimal form of a negative fraction helps.
Step 2
Why this answer is correct
The correct answer is B. \(-\frac{3}{2}\). \(-\frac{3}{2}=-1.5\), so it lies between (-2) and (-1). In exams, the decimal form of a negative fraction helps.
Step 3
Exam Tip
\(-\frac{3}{2}=-1.5\), इसलिए यह (-2) और (-1) के बीच है। परीक्षा में ऋणात्मक भिन्न का दशमलव रूप मदद करता है।
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कौन सी संख्या संख्या रेखा पर (-1) और (0) के बीच नहीं है?
Which number is not between (-1) and (0) on the number line?
#polynomials
#number-line
#interval-check
#medium
A \(-\frac{1}{4}\)
B (-0.6)
C \(-\frac{5}{4}\)
D \(-\frac{9}{10}\)
Explanation opens after your attempt
Correct Answer
C. \(-\frac{5}{4}\)
Step 1
Concept
\(-\frac{5}{4}=-1.25\), which is to the left of (-1). In exams, convert negative fractions into decimals to check.
Step 2
Why this answer is correct
The correct answer is C. \(-\frac{5}{4}\). \(-\frac{5}{4}=-1.25\), which is to the left of (-1). In exams, convert negative fractions into decimals to check.
Step 3
Exam Tip
\(-\frac{5}{4}=-1.25\), जो (-1) से बाईं ओर है। परीक्षा में ऋणात्मक भिन्न को दशमलव में बदलकर जांच सकते हैं।
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संख्या रेखा पर (y) ऐसा है कि (y), (-2) से (3.25) इकाई दाईं ओर है। (y) का मान क्या है?
On the number line, (y) is (3.25) units to the right of (-2). What is (y)?
#polynomials
#number-line
#translation
#medium
A (1.25)
B (-5.25)
C (5.25)
D (-1.25)
Explanation opens after your attempt
Step 1
Concept
Moving right gives (y=-2+3.25=1.25). In exams, add or subtract according to direction.
Step 2
Why this answer is correct
The correct answer is A. (1.25). Moving right gives (y=-2+3.25=1.25). In exams, add or subtract according to direction.
Step 3
Exam Tip
दाईं ओर जाने पर (y=-2+3.25=1.25) है। परीक्षा में दिशा के अनुसार संख्या जोड़ें या घटाएं।
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संख्या रेखा पर (x) ऐसा है कि (x) से (4) तक दूरी (1.5) है और (x<4)। (x) क्या है?
On the number line, (x) is at a distance (1.5) from (4) and (x<4). What is (x)?
#polynomials
#number-line
#distance-condition
#medium
A (2.5)
B (3.5)
C (5.5)
D (-1.5)
Explanation opens after your attempt
Step 1
Concept
Since (x<4), (x=4-1.5=2.5). In exams, read the direction condition along with distance.
Step 2
Why this answer is correct
The correct answer is A. (2.5). Since (x<4), (x=4-1.5=2.5). In exams, read the direction condition along with distance.
Step 3
Exam Tip
क्योंकि (x<4), इसलिए (x=4-1.5=2.5) होगा। परीक्षा में दूरी के साथ दिशा की शर्त भी पढ़ें।
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संख्या रेखा पर (1.8) और (2.6) के ठीक बीच कौन सा बिंदु होगा?
Which point is exactly midway between (1.8) and (2.6) on the number line?
#polynomials
#number-line
#midpoint-decimals
#medium
A (2.0)
B (2.1)
C (2.2)
D (2.4)
Explanation opens after your attempt
Step 1
Concept
The middle point is \(\frac{1.8+2.6}{2}=2.2\). In exams, exactly midway means average.
Step 2
Why this answer is correct
The correct answer is C. (2.2). The middle point is \(\frac{1.8+2.6}{2}=2.2\). In exams, exactly midway means average.
Step 3
Exam Tip
बीच का बिंदु \(\frac{1.8+2.6}{2}=2.2\) है। परीक्षा में ठीक बीच का अर्थ औसत होता है।
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