संख्या रेखा पर (A=1.4) और (B=2.1) हों तो (AB) की लंबाई क्या है?
If (A=1.4) and (B=2.1) on the number line, what is the length of (AB)?
#number-line
#distance
#decimals
#segment
A (0.5)
B (0.7)
C (1.7)
D (3.5)
Explanation opens after your attempt
Step 1
Concept
The length is (|2.1-1.4|=0.7). For distance between two points, subtract the smaller value from the larger value.
Step 2
Why this answer is correct
The correct answer is B. (0.7). The length is (|2.1-1.4|=0.7). For distance between two points, subtract the smaller value from the larger value.
Step 3
Exam Tip
लंबाई (=|2.1-1.4|=0.7) है। दो बिंदुओं की दूरी के लिए बड़ा मान से छोटा मान घटाएं।
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संख्या रेखा पर \(\frac{-13}{6}\) की स्थिति किस विकल्प से सही बतती है?
Which option correctly describes the position of \(\frac{-13}{6}\) on the number line?
#number-line
#negative-rational
#interval
#comparison
A यह (-2) और (-3) के बीच है / It is between (-2) and (-3)
B यह (-1) और (0) के बीच है / It is between (-1) and (0)
C यह (2) और (3) के बीच है / It is between (2) and (3)
D यह (-4) और (-5) के बीच है / It is between (-4) and (-5)
Explanation opens after your attempt
Correct Answer
A. यह (-2) और (-3) के बीच है / It is between (-2) and (-3)
Step 1
Concept
\(\frac{-13}{6}\approx -2.17\), so it lies between (-3) and (-2). Intervals with negative numbers can be tricky.
Step 2
Why this answer is correct
The correct answer is A. यह (-2) और (-3) के बीच है / It is between (-2) and (-3). \(\frac{-13}{6}\approx -2.17\), so it lies between (-3) and (-2). Intervals with negative numbers can be tricky.
Step 3
Exam Tip
\(\frac{-13}{6}\approx -2.17\), इसलिए यह (-3) और (-2) के बीच है। ऋणात्मक संख्या में पूर्णांक अंतराल उलझा सकता है।
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संख्या रेखा पर \(2-\sqrt{2}\) लगभग किस दो पूर्णांकों के बीच होगा?
Approximately between which two integers will \(2-\sqrt{2}\) lie on the number line?
#number-line
#irrational-numbers
#estimation
#subtraction
A किसी भी दो पूर्णांकों के बीच नहीं / Not between any two integers
B (0) और (1) / (0) and (1)
C (1) और (2) / (1) and (2)
D (2) और (3) / (2) and (3)
Explanation opens after your attempt
Correct Answer
B. (0) और (1) / (0) and (1)
Step 1
Concept
\(\sqrt{2}\) is about (1.41), so \(2-\sqrt{2}\) is about (0.59). It lies between (0) and (1).
Step 2
Why this answer is correct
The correct answer is B. (0) और (1) / (0) and (1). \(\sqrt{2}\) is about (1.41), so \(2-\sqrt{2}\) is about (0.59). It lies between (0) and (1).
Step 3
Exam Tip
\(\sqrt{2}\) लगभग (1.41) है इसलिए \(2-\sqrt{2}\) लगभग (0.59) होगा। यह (0) और (1) के बीच है।
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यदि \(\sqrt{a}\) संख्या रेखा पर (5) से थोड़ा अधिक और (6) से कम है तो (a) किस सीमा में होगा?
If \(\sqrt{a}\) is slightly greater than (5) and less than (6) on the number line, in which range will (a) lie?
#number-line
#inequality
#square-root
#range
A (5<a<6)
B (10<a<12)
C (25<a<36)
D (36<a<49)
Explanation opens after your attempt
Correct Answer
C. (25<a<36)
Step 1
Concept
If \(5<\sqrt{a}<6\), then (25<a<36). Square the root bounds to get the range of (a).
Step 2
Why this answer is correct
The correct answer is C. (25<a<36). If \(5<\sqrt{a}<6\), then (25<a<36). Square the root bounds to get the range of (a).
Step 3
Exam Tip
\(5<\sqrt{a}<6\) होने पर (25<a<36) होगा। वर्गमूल की सीमा को वर्ग करके (a) की सीमा मिलती है।
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संख्या रेखा पर (0.09), (0.9), (0.19) का सही बढ़ता क्रम कौन सा है?
What is the correct increasing order of (0.09), (0.9), and (0.19) on the number line?
#number-line
#decimals
#increasing-order
#comparison
A (0.09,0.19,0.9)
B (0.19,0.09,0.9)
C (0.9,0.19,0.09)
D (0.09,0.9,0.19)
Explanation opens after your attempt
Correct Answer
A. (0.09,0.19,0.9)
Step 1
Concept
The increasing order is (0.09<0.19<0.9). Compare decimals by aligning place values.
Step 2
Why this answer is correct
The correct answer is A. (0.09,0.19,0.9). The increasing order is (0.09<0.19<0.9). Compare decimals by aligning place values.
Step 3
Exam Tip
बढ़ता क्रम (0.09<0.19<0.9) है। दशमलव में स्थान मान बराबर करके तुलना करें।
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संख्या रेखा पर \(-\sqrt{9}\) और \(\sqrt{9}\) के बीच की दूरी कितनी है?
What is the distance between \(-\sqrt{9}\) and \(\sqrt{9}\) on the number line?
#number-line
#distance
#roots
#opposite-numbers
A (3)
B (6)
C (9)
D (18)
Explanation opens after your attempt
Step 1
Concept
\(-\sqrt{9}=-3\) and \(\sqrt{9}=3\), so the distance is (6). The distance between opposite points is the sum of their magnitudes.
Step 2
Why this answer is correct
The correct answer is B. (6). \(-\sqrt{9}=-3\) and \(\sqrt{9}=3\), so the distance is (6). The distance between opposite points is the sum of their magnitudes.
Step 3
Exam Tip
\(-\sqrt{9}=-3\) और \(\sqrt{9}=3\), इसलिए दूरी (6) है। विपरीत बिंदुओं की दूरी उनके परिमाणों का योग होती है।
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कौन सा युग्म संख्या रेखा पर एक ही बिंदु को दर्शाता है?
Which pair represents the same point on the number line?
#number-line
#equivalent-values
#fractions
#decimals
A \(\frac{2}{5}\) और (0.25) / \(\frac{2}{5}\) and (0.25)
B \(\frac{3}{4}\) और (0.75) / \(\frac{3}{4}\) and (0.75)
C \(\frac{5}{2}\) और (2.05) / \(\frac{5}{2}\) and (2.05)
D \(\frac{7}{10}\) और (0.07) / \(\frac{7}{10}\) and (0.07)
Explanation opens after your attempt
Correct Answer
B. \(\frac{3}{4}\) और (0.75) / \(\frac{3}{4}\) and (0.75)
Step 1
Concept
\(\frac{3}{4}=0.75\), so both are the same point. Convert forms to identify equal points.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{3}{4}\) और (0.75) / \(\frac{3}{4}\) and (0.75). \(\frac{3}{4}=0.75\), so both are the same point. Convert forms to identify equal points.
Step 3
Exam Tip
\(\frac{3}{4}=0.75\), इसलिए दोनों एक ही बिंदु हैं। समान बिंदु पहचानने के लिए रूप बदलें।
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संख्या रेखा पर \(1+\sqrt{2}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(1+\sqrt{2}\) lie on the number line?
#number-line
#irrational-numbers
#translation
#estimation
A (1) और (2) / (1) and (2)
B (2) और (3) / (2) and (3)
C (3) और (4) / (3) and (4)
D (0) और (1) / (0) and (1)
Explanation opens after your attempt
Correct Answer
B. (2) और (3) / (2) and (3)
Step 1
Concept
\(\sqrt{2}\) is about (1.41), so \(1+\sqrt{2}\) is about (2.41). It lies between (2) and (3).
Step 2
Why this answer is correct
The correct answer is B. (2) और (3) / (2) and (3). \(\sqrt{2}\) is about (1.41), so \(1+\sqrt{2}\) is about (2.41). It lies between (2) and (3).
Step 3
Exam Tip
\(\sqrt{2}\) लगभग (1.41) है इसलिए \(1+\sqrt{2}\) लगभग (2.41) होगा। यह (2) और (3) के बीच है।
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यदि संख्या रेखा पर (Q), (2) से (1.5) इकाई बाईं ओर है तो (Q) का मान क्या है?
If point (Q) is (1.5) units to the left of (2) on the number line, what is the value of (Q)?
#number-line
#direction
#subtraction
#decimals
A (3.5)
B (0.5)
C (1.5)
D (-0.5)
Explanation opens after your attempt
Step 1
Concept
Moving left means subtraction, so (2-1.5=0.5). On the number line direction decides the operation.
Step 2
Why this answer is correct
The correct answer is B. (0.5). Moving left means subtraction, so (2-1.5=0.5). On the number line direction decides the operation.
Step 3
Exam Tip
बाईं ओर जाने पर घटाते हैं इसलिए (2-1.5=0.5)। संख्या रेखा में दिशा से क्रिया तय होती है।
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संख्या रेखा पर \(\sqrt{18}\) के सबसे निकट कौन सा पूर्णांक है?
Which integer is closest to \(\sqrt{18}\) on the number line?
#number-line
#estimation
#square-root
#nearest-integer
A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{18}\) is about (4.24), so it is closer to (4). For estimation, check nearby perfect squares (16) and (25).
Step 2
Why this answer is correct
The correct answer is B. (4). \(\sqrt{18}\) is about (4.24), so it is closer to (4). For estimation, check nearby perfect squares (16) and (25).
Step 3
Exam Tip
\(\sqrt{18}\) लगभग (4.24) है इसलिए यह (4) के अधिक पास है। अनुमान के लिए पास के पूर्ण वर्ग (16) और (25) देखें।
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कौन सा विकल्प \(-\frac{9}{5}\) को संख्या रेखा पर सही दशमलव रूप में दिखाता है?
Which option shows \(-\frac{9}{5}\) in correct decimal form on the number line?
#number-line
#rational-numbers
#decimal-form
#negative-fraction
A (-1.8)
B (-0.18)
C (1.8)
D (-2.8)
Explanation opens after your attempt
Step 1
Concept
\(-\frac{9}{5}=-1.8\). Keep both the sign and division correct.
Step 2
Why this answer is correct
The correct answer is A. (-1.8). \(-\frac{9}{5}=-1.8\). Keep both the sign and division correct.
Step 3
Exam Tip
\(-\frac{9}{5}=-1.8\) होता है। चिह्न और भाग दोनों को सावधानी से रखें।
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संख्या रेखा पर \(\frac{3}{2}\) और (1.6) में कौन सा बिंदु दाईं ओर होगा?
On the number line, which point will be to the right, \(\frac{3}{2}\) or (1.6)?
#number-line
#fraction-decimal
#comparison
#order
A \(\frac{3}{2}\)
B (1.6)
C दोनों समान हैं / Both are equal
D दोनों (1) से छोटे हैं / Both are less than (1)
Explanation opens after your attempt
Step 1
Concept
\(\frac{3}{2}=1.5\) and (1.6>1.5), so (1.6) is to the right. Values increase toward the right.
Step 2
Why this answer is correct
The correct answer is B. (1.6). \(\frac{3}{2}=1.5\) and (1.6>1.5), so (1.6) is to the right. Values increase toward the right.
Step 3
Exam Tip
\(\frac{3}{2}=1.5\) और (1.6>1.5), इसलिए (1.6) दाईं ओर होगा। दाईं ओर संख्या का मान बढ़ता है।
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संख्या रेखा पर (1.2) और (1.3) के बीच के मध्य बिंदु का मान क्या है?
What is the value of the midpoint between (1.2) and (1.3) on the number line?
#number-line
#midpoint
#decimals
#average
A (1.21)
B (1.25)
C (1.35)
D (2.5)
Explanation opens after your attempt
Step 1
Concept
The midpoint is \(\frac{1.2+1.3}{2}=1.25\). The average of two points gives the midpoint.
Step 2
Why this answer is correct
The correct answer is B. (1.25). The midpoint is \(\frac{1.2+1.3}{2}=1.25\). The average of two points gives the midpoint.
Step 3
Exam Tip
मध्य बिंदु \(=\frac{1.2+1.3}{2}=1.25\) है। दो बिंदुओं का औसत मध्य बिंदु देता है।
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यदि \(\sqrt{n}\) संख्या रेखा पर (4) और (5) के बीच है तो (n) के लिए कौन सा मान संभव है?
If \(\sqrt{n}\) lies between (4) and (5) on the number line, which value of (n) is possible?
#number-line
#square-root
#inequality
#reasoning
A (12)
B (18)
C (21)
D (30)
Explanation opens after your attempt
Step 1
Concept
For \(\sqrt{n}\) to lie between (4) and (5), (16<n<25) is needed. Among the options (21) is correct.
Step 2
Why this answer is correct
The correct answer is C. (21). For \(\sqrt{n}\) to lie between (4) and (5), (16<n<25) is needed. Among the options (21) is correct.
Step 3
Exam Tip
\(\sqrt{n}\) के (4) और (5) के बीच होने के लिए (16<n<25) चाहिए। दिए गए विकल्पों में (21) सही है।
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संख्या रेखा पर (-0.8) और (-0.3) में कौन सा बिंदु दाईं ओर होगा?
On the number line, which point will be to the right, (-0.8) or (-0.3)?
#number-line
#negative-decimals
#order
#comparison
A (-0.8)
B (-0.3)
C दोनों एक ही बिंदु हैं / Both are the same point
D दोनों (0) के दाईं ओर हैं / Both are to the right of (0)
Explanation opens after your attempt
Step 1
Concept
(-0.3) is greater than (-0.8), so it is to the right. Among negative numbers, the one closer to (0) is greater.
Step 2
Why this answer is correct
The correct answer is B. (-0.3). (-0.3) is greater than (-0.8), so it is to the right. Among negative numbers, the one closer to (0) is greater.
Step 3
Exam Tip
(-0.3), (-0.8) से बड़ा है इसलिए वह दाईं ओर होगा। ऋणात्मक संख्याओं में (0) के पास वाली संख्या बड़ी होती है।
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संख्या रेखा पर (3.04) और (3.4) में से कौन सा बिंदु (3) के अधिक पास है?
Which point is closer to (3) on the number line, (3.04) or (3.4)?
#number-line
#distance
#decimals
#comparison
A (3.04)
B (3.4)
C दोनों बराबर पास हैं / Both are equally close
D कोई भी नहीं / None
Explanation opens after your attempt
Step 1
Concept
The distance of (3.04) is (0.04) and the distance of (3.4) is (0.4). The point with smaller distance is closer.
Step 2
Why this answer is correct
The correct answer is A. (3.04). The distance of (3.04) is (0.04) and the distance of (3.4) is (0.4). The point with smaller distance is closer.
Step 3
Exam Tip
(3.04) की दूरी (0.04) है और (3.4) की दूरी (0.4) है। कम दूरी वाला बिंदु अधिक पास होता है।
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संख्या रेखा पर \(\sqrt{7}\) की स्थिति के बारे में कौन सा कथन सही है?
Which statement about the position of \(\sqrt{7}\) on the number line is correct?
#number-line
#irrational-numbers
#square-root
#common-mistake
A यह (2) से कम है / It is less than (2)
B यह (2) और (3) के बीच है / It is between (2) and (3)
C यह (3) और (4) के बीच है / It is between (3) and (4)
D यह (7) पर है / It is at (7)
Explanation opens after your attempt
Correct Answer
B. यह (2) और (3) के बीच है / It is between (2) and (3)
Step 1
Concept
Since \(2^2<7<3^2\), \(\sqrt{7}\) lies between (2) and (3). Taking \(\sqrt{7}\) as (7) is a common mistake.
Step 2
Why this answer is correct
The correct answer is B. यह (2) और (3) के बीच है / It is between (2) and (3). Since \(2^2<7<3^2\), \(\sqrt{7}\) lies between (2) and (3). Taking \(\sqrt{7}\) as (7) is a common mistake.
Step 3
Exam Tip
क्योंकि \(2^2<7<3^2\), इसलिए \(\sqrt{7}\), (2) और (3) के बीच होगा। \(\sqrt{7}\) को (7) समझना सामान्य गलती है।
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संख्या रेखा पर \(\frac{11}{5}\) को रखने के लिए वह किस दो पूर्णांकों के बीच आएगा?
To place \(\frac{11}{5}\) on the number line, between which two integers will it lie?
#number-line
#improper-fraction
#rational-numbers
#position
A (1) और (2) / (1) and (2)
B (2) और (3) / (2) and (3)
C (3) और (4) / (3) and (4)
D (4) और (5) / (4) and (5)
Explanation opens after your attempt
Correct Answer
B. (2) और (3) / (2) and (3)
Step 1
Concept
\(\frac{11}{5}=2.2\), so it lies between (2) and (3). Convert an improper fraction to decimal or mixed form.
Step 2
Why this answer is correct
The correct answer is B. (2) और (3) / (2) and (3). \(\frac{11}{5}=2.2\), so it lies between (2) and (3). Convert an improper fraction to decimal or mixed form.
Step 3
Exam Tip
\(\frac{11}{5}=2.2\), इसलिए यह (2) और (3) के बीच है। अशुद्ध भिन्न को दशमलव या मिश्रित रूप में बदलें।
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संख्या रेखा पर (0.4), \(\frac{1}{2}\), और (0.6) को बाएं से दाएं सही क्रम में लिखिए।
Write (0.4), \(\frac{1}{2}\), and (0.6) in correct left to right order on the number line.
#number-line
#order
#fractions
#decimals
A \(0.4,\frac{1}{2},0.6\)
B \(\frac{1}{2},0.4,0.6\)
C \(0.6,\frac{1}{2},0.4\)
D \(0.4,0.6,\frac{1}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(0.4,\frac{1}{2},0.6\)
Step 1
Concept
\(\frac{1}{2}=0.5\), so the order is (0.4<0.5<0.6). Convert fractions to decimals before comparing.
Step 2
Why this answer is correct
The correct answer is A. \(0.4,\frac{1}{2},0.6\). \(\frac{1}{2}=0.5\), so the order is (0.4<0.5<0.6). Convert fractions to decimals before comparing.
Step 3
Exam Tip
\(\frac{1}{2}=0.5\), इसलिए क्रम (0.4<0.5<0.6) है। तुलना से पहले भिन्न को दशमलव में बदलें।
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यदि संख्या रेखा पर (P), (-1) से (0.75) इकाई दाईं ओर है तो (P) कौन सी संख्या दर्शाता है?
If point (P) is (0.75) unit to the right of (-1) on the number line, which number does (P) represent?
#number-line
#decimals
#direction
#negative-numbers
A (-1.75)
B (-0.25)
C (0.25)
D (1.75)
Explanation opens after your attempt
Correct Answer
B. (-0.25)
Step 1
Concept
Moving right means addition, so (-1+0.75=-0.25). Choose addition or subtraction according to direction.
Step 2
Why this answer is correct
The correct answer is B. (-0.25). Moving right means addition, so (-1+0.75=-0.25). Choose addition or subtraction according to direction.
Step 3
Exam Tip
दाईं ओर जाने पर जोड़ते हैं इसलिए (-1+0.75=-0.25) होगा। दिशा के अनुसार जोड़ या घटाव चुनें।
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संख्या रेखा पर (A=-3) और (B=2) हों तो (A) से (B) तक की दूरी क्या है?
If (A=-3) and (B=2) on the number line, what is the distance from (A) to (B)?
#number-line
#distance
#integers
#absolute-value
A (1)
B (3)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
The distance is (|2-(-3)|=5). Distance on the number line is always positive.
Step 2
Why this answer is correct
The correct answer is C. (5). The distance is (|2-(-3)|=5). Distance on the number line is always positive.
Step 3
Exam Tip
दूरी (=|2-(-3)|=5) है। संख्या रेखा पर दूरी हमेशा धनात्मक होती है।
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संख्या रेखा पर (2.6) और (2.7) के बीच कौन सी संख्या होगी?
Which number will lie between (2.6) and (2.7) on the number line?
#number-line
#decimals
#comparison
#between
A (2.05)
B (2.65)
C (2.75)
D (3.65)
Explanation opens after your attempt
Step 1
Concept
(2.65) is greater than (2.6) and less than (2.7). Compare decimals using the same place values.
Step 2
Why this answer is correct
The correct answer is B. (2.65). (2.65) is greater than (2.6) and less than (2.7). Compare decimals using the same place values.
Step 3
Exam Tip
(2.65), (2.6) से बड़ा और (2.7) से छोटा है। दशमलवों की तुलना समान स्थान मान से करें।
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कौन सा कथन संख्या रेखा पर \(-\sqrt{4}\) की सही स्थिति बताता है?
Which statement gives the correct position of \(-\sqrt{4}\) on the number line?
#number-line
#negative-root
#perfect-square
#medium
A यह (2) पर होगा / It will be at (2)
B यह (-2) पर होगा / It will be at (-2)
C यह (4) पर होगा / It will be at (4)
D यह (-4) पर होगा / It will be at (-4)
Explanation opens after your attempt
Correct Answer
B. यह (-2) पर होगा / It will be at (-2)
Step 1
Concept
\(\sqrt{4}=2\), so \(-\sqrt{4}=-2\). Remember the negative sign after finding the square root.
Step 2
Why this answer is correct
The correct answer is B. यह (-2) पर होगा / It will be at (-2). \(\sqrt{4}=2\), so \(-\sqrt{4}=-2\). Remember the negative sign after finding the square root.
Step 3
Exam Tip
\(\sqrt{4}=2\), इसलिए \(-\sqrt{4}=-2\) होगा। ऋण चिह्न को वर्गमूल लेने के बाद भी याद रखें।
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संख्या रेखा पर \(\sqrt{13}\) को बनाने के लिए (3) और (2) लंब भुजाओं वाला समकोण त्रिभुज बनाया जाए तो कर्ण क्या होगा?
To construct \(\sqrt{13}\) on the number line, if a right triangle has perpendicular sides (3) and (2), what is the hypotenuse?
#number-line
#construction
#pythagoras
#square-root
A \(\sqrt{5}\)
B \(\sqrt{11}\)
C \(\sqrt{13}\)
D (5)
Explanation opens after your attempt
Correct Answer
C. \(\sqrt{13}\)
Step 1
Concept
The hypotenuse is \(\sqrt{3^2+2^2}=\sqrt{13}\). Apply Pythagoras in a right triangle.
Step 2
Why this answer is correct
The correct answer is C. \(\sqrt{13}\). The hypotenuse is \(\sqrt{3^2+2^2}=\sqrt{13}\). Apply Pythagoras in a right triangle.
Step 3
Exam Tip
कर्ण \(=\sqrt{3^2+2^2}=\sqrt{13}\) होता है। समकोण त्रिभुज में पाइथागोरस प्रमेय लागू करें।
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संख्या रेखा पर \(\sqrt{10}\) किस दो क्रमागत पूर्णांकों के बीच स्थित होगा?
Between which two consecutive integers will \(\sqrt{10}\) be located on the number line?
#number-line
#square-root
#irrational-numbers
#comparison
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
B. (3) और (4) / (3) and (4)
Step 1
Concept
Since \(3^2<10<4^2\), \(\sqrt{10}\) lies between (3) and (4). Use nearby perfect squares to locate roots.
Step 2
Why this answer is correct
The correct answer is B. (3) और (4) / (3) and (4). Since \(3^2<10<4^2\), \(\sqrt{10}\) lies between (3) and (4). Use nearby perfect squares to locate roots.
Step 3
Exam Tip
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।
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यदि (0) और (1) के बीच का भाग (8) बराबर भागों में बांटा जाए तो \(\frac{5}{8}\) कौन सा बिंदु होगा?
If the part between (0) and (1) is divided into (8) equal parts, which point represents \(\frac{5}{8}\)?
#number-line
#fraction
#equal-parts
#rational-numbers
A (0) के बाद तीसरा बिंदु / Third point after (0)
B (0) के बाद चौथा बिंदु / Fourth point after (0)
C (0) के बाद पांचवां बिंदु / Fifth point after (0)
D (1) के बाद पांचवां बिंदु / Fifth point after (1)
Explanation opens after your attempt
Correct Answer
C. (0) के बाद पांचवां बिंदु / Fifth point after (0)
Step 1
Concept
\(\frac{5}{8}\) means (5) parts out of (8) equal parts. Treat the denominator as divisions and the numerator as count.
Step 2
Why this answer is correct
The correct answer is C. (0) के बाद पांचवां बिंदु / Fifth point after (0). \(\frac{5}{8}\) means (5) parts out of (8) equal parts. Treat the denominator as divisions and the numerator as count.
Step 3
Exam Tip
\(\frac{5}{8}\) का अर्थ (8) बराबर भागों में से (5) भाग है। हर को भागों की संख्या और अंश को गिनती मानें।
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संख्या रेखा पर \(-\frac{7}{4}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(-\frac{7}{4}\) lie on the number line?
#number-line
#negative-fraction
#rational-numbers
#medium
A (-2) और (-1) / (-2) and (-1)
B (-1) और (0) / (-1) and (0)
C (1) और (2) / (1) and (2)
D (-3) और (-2) / (-3) and (-2)
Explanation opens after your attempt
Correct Answer
A. (-2) और (-1) / (-2) and (-1)
Step 1
Concept
\(-\frac{7}{4}=-1.75\), so it lies between (-2) and (-1). Be careful with direction for negative fractions.
Step 2
Why this answer is correct
The correct answer is A. (-2) और (-1) / (-2) and (-1). \(-\frac{7}{4}=-1.75\), so it lies between (-2) and (-1). Be careful with direction for negative fractions.
Step 3
Exam Tip
\(-\frac{7}{4}=-1.75\), इसलिए यह (-2) और (-1) के बीच होगा। ऋणात्मक भिन्न में दिशा को ध्यान से देखें।
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संख्या रेखा पर (1.375) को (1) और (2) के बीच रखने के लिए (1) से कितना आगे जाना होगा?
To place (1.375) between (1) and (2) on the number line, how far should we move from (1)?
#number-line
#decimals
#position
#real-numbers
A (0.125)
B (0.25)
C (0.375)
D (1.375)
Explanation opens after your attempt
Correct Answer
C. (0.375)
Step 1
Concept
Since (1.375=1+0.375), move (0.375) unit from (1). Separate the integer part when locating decimals.
Step 2
Why this answer is correct
The correct answer is C. (0.375). Since (1.375=1+0.375), move (0.375) unit from (1). Separate the integer part when locating decimals.
Step 3
Exam Tip
क्योंकि (1.375=1+0.375), इसलिए (1) से (0.375) इकाई आगे जाना होगा। दशमलव स्थान में पूर्णांक भाग अलग करें।
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संख्या रेखा पर \(\sqrt{5}\) को सही स्थान पर रखने के लिए किस तथ्य का उपयोग किया जा सकता है?
Which fact can be used to place \(\sqrt{5}\) correctly on the number line?
#number-line
#irrational-numbers
#square-root
#comparison
A \(2^2<5<3^2\)
B \(5^2<2<6^2\)
C \(1^2<5<2^2\)
D \(3^2<5<4^2\)
Explanation opens after your attempt
Correct Answer
A. \(2^2<5<3^2\)
Step 1
Concept
Since (4<5<9), \(\sqrt{5}\) lies between (2) and (3). Comparing squares helps locate square roots.
Step 2
Why this answer is correct
The correct answer is A. \(2^2<5<3^2\). Since (4<5<9), \(\sqrt{5}\) lies between (2) and (3). Comparing squares helps locate square roots.
Step 3
Exam Tip
क्योंकि (4<5<9), इसलिए \(\sqrt{5}\), (2) और (3) के बीच होगा। वर्गों की तुलना से वर्गमूल की स्थिति मिलती है।
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संख्या रेखा पर \(\sqrt{2}\) को बनाने के लिए समकोण त्रिभुज की दो लंब भुजाएं (1) और (1) ली गई हैं। कर्ण की लंबाई क्या होगी?
To construct \(\sqrt{2}\) on the number line, two perpendicular sides of a right triangle are taken as (1) and (1). What will be the length of the hypotenuse?
#number-line
#real-numbers
#square-root
#construction
A (1)
B \(\sqrt{2}\)
C (2)
D \(\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
B. \(\sqrt{2}\)
Step 1
Concept
By Pythagoras the hypotenuse is \(\sqrt{1^2+1^2}=\sqrt{2}\). In such constructions always add the squares of perpendicular sides.
Step 2
Why this answer is correct
The correct answer is B. \(\sqrt{2}\). By Pythagoras the hypotenuse is \(\sqrt{1^2+1^2}=\sqrt{2}\). In such constructions always add the squares of perpendicular sides.
Step 3
Exam Tip
पाइथागोरस से कर्ण \(=\sqrt{1^2+1^2}=\sqrt{2}\) होगा। ऐसी रचनाओं में वर्गों का योग जरूर देखें।
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