यदि (a=-9) और (d=6) है तो पहले चार पद कौन से हैं?
If (a=-9) and (d=6), what are the first four terms?
#ap
#first four terms
#integers
#medium
A (-9,-3,3,9)
B (-9,-4,1,6)
C (-9,0,9,18)
D (-9,-15,-21,-27)
Explanation opens after your attempt
Correct Answer
A. (-9,-3,3,9)
Step 1
Concept
Adding (6) each time gives (-9,-3,3,9). Keep adding (d) successively.
Step 2
Why this answer is correct
The correct answer is A. (-9,-3,3,9). Adding (6) each time gives (-9,-3,3,9). Keep adding (d) successively.
Step 3
Exam Tip
हर बार (6) जोड़ने पर (-9,-3,3,9) मिलते हैं। (d) को लगातार जोड़ते जाएं।
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अनुक्रम \(-8,-3,2,7,\ldots\) में (a) और (d) क्रमशः क्या हैं?
In the sequence \(-8,-3,2,7,\ldots\), what are (a) and (d) respectively?
#ap
#first term
#common difference
#integers
A (-8) और (5) / (-8) and (5)
B (-3) और (5) / (-3) and (5)
C (-8) और (-5) / (-8) and (-5)
D (5) और (-8) / (5) and (-8)
Explanation opens after your attempt
Correct Answer
A. (-8) और (5) / (-8) and (5)
Step 1
Concept
The first term is (-8), and (d=-3-(-8)=5). Pay attention to signs with negative numbers.
Step 2
Why this answer is correct
The correct answer is A. (-8) और (5) / (-8) and (5). The first term is (-8), and (d=-3-(-8)=5). Pay attention to signs with negative numbers.
Step 3
Exam Tip
पहला पद (-8) है और (d=-3-(-8)=5) है। ऋणात्मक संख्याओं में चिह्न पर ध्यान दें।
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यदि (a=-5) और (d=4) है तो पहले चार पद कौन से हैं?
If (a=-5) and (d=4), what are the first four terms?
#ap
#first four terms
#integers
#medium
A (-5,-2,1,4)
B (-5,0,5,10)
C (-5,-1,2,6)
D (-5,-1,3,7)
Explanation opens after your attempt
Correct Answer
D. (-5,-1,3,7)
Step 1
Concept
Adding (4) each time gives (-5,-1,3,7). Do not forget to add (d) repeatedly.
Step 2
Why this answer is correct
The correct answer is D. (-5,-1,3,7). Adding (4) each time gives (-5,-1,3,7). Do not forget to add (d) repeatedly.
Step 3
Exam Tip
हर बार (4) जोड़ने पर (-5,-1,3,7) मिलते हैं। (d) को लगातार जोड़ना न भूलें।
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अनुक्रम \(-2,3,8,13,\ldots\) में (a) और (d) क्रमशः क्या हैं?
In the sequence \(-2,3,8,13,\ldots\), what are (a) and (d) respectively?
#ap
#first term
#common difference
#integers
A (-2) और (5) / (-2) and (5)
B (3) और (5) / (3) and (5)
C (-2) और (-5) / (-2) and (-5)
D (5) और (-2) / (5) and (-2)
Explanation opens after your attempt
Correct Answer
A. (-2) और (5) / (-2) and (5)
Step 1
Concept
The first term is (-2) and (3-(-2)=5). Be careful while subtracting negative terms.
Step 2
Why this answer is correct
The correct answer is A. (-2) और (5) / (-2) and (5). The first term is (-2) and (3-(-2)=5). Be careful while subtracting negative terms.
Step 3
Exam Tip
पहला पद (-2) है और (3-(-2)=5) है। ऋणात्मक पदों में घटाव सावधानी से करें।
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समांतर श्रेढ़ी \(-12,-7,-2,3,\ldots\) का सार्व अंतर क्या है?
What is the common difference of \(-12,-7,-2,3,\ldots\)?
#arithmetic-progression
#integers
#class10
A (3)
B (4)
C (5)
D (-5)
Explanation opens after your attempt
Step 1
Concept
Here (-7-(-12)=5). Subtract correctly when negative numbers are involved.
Step 2
Why this answer is correct
The correct answer is C. (5). Here (-7-(-12)=5). Subtract correctly when negative numbers are involved.
Step 3
Exam Tip
यहाँ (-7-(-12)=5) है। ऋणात्मक संख्याओं के साथ घटाव सही ढंग से करें।
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अनुक्रम \(-10,-7,-4,-1,\ldots\) में अगला पद क्या है?
What is the next term in the sequence \(-10,-7,-4,-1,\ldots\)?
#ap
#integers
#next term
#easy
A (2)
B (1)
C (-2)
D (3)
Explanation opens after your attempt
Step 1
Concept
The common difference is (3), so (-1+3=2). Handle signs carefully when moving from negative to positive.
Step 2
Why this answer is correct
The correct answer is A. (2). The common difference is (3), so (-1+3=2). Handle signs carefully when moving from negative to positive.
Step 3
Exam Tip
सार्व अंतर (3) है इसलिए (-1+3=2) होगा। ऋणात्मक और धनात्मक में बदलते समय चिह्न संभालें।
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अनुक्रम \(-3,0,3,6,\ldots\) का सार्व अंतर क्या है?
What is the common difference of the sequence \(-3,0,3,6,\ldots\)?
#ap
#integers
#common difference
#class ten
A (6)
B (-3)
C (3)
D (0)
Explanation opens after your attempt
Step 1
Concept
The common difference is (0-(-3)=3). Be careful while subtracting negative terms.
Step 2
Why this answer is correct
The correct answer is C. (3). The common difference is (0-(-3)=3). Be careful while subtracting negative terms.
Step 3
Exam Tip
सार्व अंतर (0-(-3)=3) है। ऋणात्मक पदों में घटाव सावधानी से करें।
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अनुक्रम \(-3,1,5,9,\ldots\) में सार्व अंतर क्या है?
What is the common difference in \(-3,1,5,9,\ldots\)?
#arithmetic-progression
#integers
#class10
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
For consecutive terms, (1-(-3)=4). The same rule applies even when a term is negative.
Step 2
Why this answer is correct
The correct answer is C. (4). For consecutive terms, (1-(-3)=4). The same rule applies even when a term is negative.
Step 3
Exam Tip
लगातार पदों में (1-(-3)=4) है। ऋणात्मक पद होने पर भी वही नियम लागू होता है।
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यदि (M) संख्या रेखा पर (-2) और (4) का मध्य बिंदु है तो (M) का मान क्या है?
If (M) is the midpoint of (-2) and (4) on the number line, what is the value of (M)?
#number-line
#midpoint
#integers
#average
A (1)
B (2)
C (-1)
D (3)
Explanation opens after your attempt
Step 1
Concept
The midpoint is \(\frac{-2+4}{2}=1\). The average method also works for points with opposite signs.
Step 2
Why this answer is correct
The correct answer is A. (1). The midpoint is \(\frac{-2+4}{2}=1\). The average method also works for points with opposite signs.
Step 3
Exam Tip
मध्य बिंदु \(=\frac{-2+4}{2}=1\) है। विपरीत चिह्न वाले बिंदुओं में भी औसत विधि काम करती है।
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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 \(-\frac{9}{4}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(-\frac{9}{4}\) lie on the number line?
#negative-fractions
#integers
#number-line
A (-3) और (-2) / (-3) and (-2)
B (-2) और (-1) / (-2) and (-1)
C (2) और (3) / (2) and (3)
D (-4) और (-3) / (-4) and (-3)
Explanation opens after your attempt
Correct Answer
A. (-3) और (-2) / (-3) and (-2)
Step 1
Concept
\(-\frac{9}{4}=-2.25\), so it lies between (-3) and (-2). Be careful with direction for negative fractions.
Step 2
Why this answer is correct
The correct answer is A. (-3) और (-2) / (-3) and (-2). \(-\frac{9}{4}=-2.25\), so it lies between (-3) and (-2). Be careful with direction for negative fractions.
Step 3
Exam Tip
\(-\frac{9}{4}=-2.25\), इसलिए यह (-3) और (-2) के बीच है। ऋणात्मक भिन्न में छोटी दिशा को ध्यान से समझें।
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संख्या रेखा पर \( \frac{8}{4}\) किस पूर्णांक के बराबर है?
On the number line, \(\frac{8}{4}\) is equal to which integer?
#fractions
#integers
#number-line
A (2)
B (4)
C (8)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(\frac{8}{4}=2\), so it is located at (2). Convert a simple fraction into an integer to identify the point.
Step 2
Why this answer is correct
The correct answer is A. (2). \(\frac{8}{4}=2\), so it is located at (2). Convert a simple fraction into an integer to identify the point.
Step 3
Exam Tip
\(\frac{8}{4}=2\), इसलिए यह (2) पर स्थित है। सरल भिन्न को पूर्णांक में बदलकर बिंदु पहचानें।
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संख्या रेखा पर (-1) से दाईं ओर (3) इकाई जाने पर कौन-सा बिंदु मिलेगा?
Which point is reached by moving (3) units right from (-1) on the number line?
#movement
#integers
#number-line
A (2)
B (-4)
C (3)
D (-3)
Explanation opens after your attempt
Step 1
Concept
Moving right increases the number, so (-1+3=2). Write movement as addition or subtraction.
Step 2
Why this answer is correct
The correct answer is A. (2). Moving right increases the number, so (-1+3=2). Write movement as addition or subtraction.
Step 3
Exam Tip
दाईं ओर जाने पर संख्या बढ़ती है, इसलिए (-1+3=2) है। चाल को जोड़ या घटाव से लिखें।
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संख्या रेखा पर (2.75) किस दो पूर्णांकों के बीच आता है?
Between which two integers does (2.75) lie on the number line?
#decimals
#integers
#number-line
A (2) और (3) / (2) and (3)
B (3) और (4) / (3) and (4)
C (1) और (2) / (1) and (2)
D (0) और (1) / (0) and (1)
Explanation opens after your attempt
Correct Answer
A. (2) और (3) / (2) and (3)
Step 1
Concept
The integer part of (2.75) is (2), so it lies between (2) and (3). The integer part gives the first clue.
Step 2
Why this answer is correct
The correct answer is A. (2) और (3) / (2) and (3). The integer part of (2.75) is (2), so it lies between (2) and (3). The integer part gives the first clue.
Step 3
Exam Tip
(2.75) का पूर्णांक भाग (2) है, इसलिए यह (2) और (3) के बीच है। दशमलव का पूर्णांक भाग पहला संकेत देता है।
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संख्या रेखा पर \(-\frac{7}{3}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(-\frac{7}{3}\) lie on the number line?
#negative-fractions
#integers
#number-line
A (-3) और (-2) / (-3) and (-2)
B (-2) और (-1) / (-2) and (-1)
C (2) और (3) / (2) and (3)
D (-4) और (-3) / (-4) and (-3)
Explanation opens after your attempt
Correct Answer
A. (-3) और (-2) / (-3) and (-2)
Step 1
Concept
\(-\frac{7}{3}\approx -2.33\), so it lies between (-3) and (-2). Check the position of negative decimals carefully.
Step 2
Why this answer is correct
The correct answer is A. (-3) और (-2) / (-3) and (-2). \(-\frac{7}{3}\approx -2.33\), so it lies between (-3) and (-2). Check the position of negative decimals carefully.
Step 3
Exam Tip
\(-\frac{7}{3}\approx -2.33\) है, इसलिए यह (-3) और (-2) के बीच है। ऋणात्मक दशमलव की स्थिति ध्यान से देखें।
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(-8) किस प्रकार की संख्या है?
What type of number is (-8)?
#integers
#rational-numbers
#real-numbers
A परिमेय और वास्तविक / Rational and real
B अपरिमेय / Irrational
C अवास्तविक / Non real
D केवल प्राकृतिक / Natural only
Explanation opens after your attempt
Correct Answer
A. परिमेय और वास्तविक / Rational and real
Step 1
Concept
(-8) can be written as \(\frac{-8}{1}\) so it is rational. Every integer is also real.
Step 2
Why this answer is correct
The correct answer is A. परिमेय और वास्तविक / Rational and real. (-8) can be written as \(\frac{-8}{1}\) so it is rational. Every integer is also real.
Step 3
Exam Tip
\(-8=\frac{-8}{1}\) लिखा जा सकता है इसलिए यह परिमेय है। हर पूर्णांक वास्तविक भी होता है।
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