संख्याएं (14,m,50) समांतर श्रेणी के लगातार पद हैं। (m) और (d) क्या हैं?
The numbers (14,m,50) are consecutive terms of an AP. What are (m) and (d)?
#ap
#missing_term
#mean_property
A (m=30,d=16)
B (m=32,d=18)
C (m=34,d=20)
D (m=36,d=22)
Explanation opens after your attempt
Correct Answer
B. (m=32,d=18)
Step 1
Concept
The middle term is \(m=\frac{14+50}{2}=32\), and (d=18). In exams, the middle term of three AP terms is the average.
Step 2
Why this answer is correct
The correct answer is B. (m=32,d=18). The middle term is \(m=\frac{14+50}{2}=32\), and (d=18). In exams, the middle term of three AP terms is the average.
Step 3
Exam Tip
मध्य पद \(m=\frac{14+50}{2}=32\) है और (d=18)। परीक्षा में तीन पदों में मध्य पद औसत होता है।
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समांतर श्रेणी के लगातार पद (-11,y,5) हैं। (y) और सामान्य अंतर क्या हैं?
The consecutive AP terms are (-11,y,5). What are (y) and the common difference?
#ap
#missing_term
#negative_numbers
A (y=-4,d=7)
B (y=-3,d=8)
C (y=3,d=14)
D (y=-8,d=3)
Explanation opens after your attempt
Correct Answer
B. (y=-3,d=8)
Step 1
Concept
The middle term is \(y=\frac{-11+5}{2}=-3\), and (d=8). In exams, be careful while averaging negative numbers.
Step 2
Why this answer is correct
The correct answer is B. (y=-3,d=8). The middle term is \(y=\frac{-11+5}{2}=-3\), and (d=8). In exams, be careful while averaging negative numbers.
Step 3
Exam Tip
मध्य पद \(y=\frac{-11+5}{2}=-3\) है और (d=8)। परीक्षा में ऋणात्मक संख्याओं के औसत में सावधानी रखें।
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तीन लगातार समांतर श्रेणी पद (7,x,31) हैं। (x) और सामान्य अंतर क्या हैं?
Three consecutive AP terms are (7,x,31). What are (x) and the common difference?
#ap
#missing_term
#common_difference
A (x=18,d=11)
B (x=19,d=12)
C (x=24,d=17)
D (x=12,d=5)
Explanation opens after your attempt
Correct Answer
B. (x=19,d=12)
Step 1
Concept
The middle term is the average of the extremes, so \(x=\frac{7+31}{2}=19\). Then (d=19-7=12).
Step 2
Why this answer is correct
The correct answer is B. (x=19,d=12). The middle term is the average of the extremes, so \(x=\frac{7+31}{2}=19\). Then (d=19-7=12).
Step 3
Exam Tip
मध्य पद सिरों का औसत होता है, इसलिए \(x=\frac{7+31}{2}=19\)। फिर (d=19-7=12)।
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यदि (-6,s,10,18) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (s) क्या होगा?
If (-6,s,10,18) are consecutive terms of an arithmetic progression, what will (s) be?
#ap
#missing term
#negative first term
#hard
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
(18-10=8), so (s=10-8=2). While moving backward, subtract the same (d).
Step 2
Why this answer is correct
The correct answer is B. (2). (18-10=8), so (s=10-8=2). While moving backward, subtract the same (d).
Step 3
Exam Tip
(18-10=8), इसलिए (s=10-8=2)। पीछे की ओर चलते समय वही (d) घटाएं।
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यदि (7,u,19,25) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (u) का मान क्या है?
If (7,u,19,25) are consecutive terms of an arithmetic progression, what is the value of (u)?
#ap
#missing term
#common difference
#hard
A (11)
B (12)
C (13)
D (14)
Explanation opens after your attempt
Step 1
Concept
(25-19=6), so (u=19-6=13). While finding a missing term, apply the same difference backward too.
Step 2
Why this answer is correct
The correct answer is C. (13). (25-19=6), so (u=19-6=13). While finding a missing term, apply the same difference backward too.
Step 3
Exam Tip
(25-19=6), इसलिए (u=19-6=13)। खाली पद निकालते समय समान अंतर को पीछे की ओर भी लगाएं।
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यदि (-10, s, 2, 8) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (s) क्या होगा?
If (-10, s, 2, 8) are consecutive terms of an arithmetic progression, what will (s) be?
#ap
#missing term
#negative first term
#expert
A (-6)
B (-4)
C (-2)
D (0)
Explanation opens after your attempt
Step 1
Concept
The difference from (2) to (8) is (6), so (s=2-6=-4). While moving backward, subtract the same (d).
Step 2
Why this answer is correct
The correct answer is B. (-4). The difference from (2) to (8) is (6), so (s=2-6=-4). While moving backward, subtract the same (d).
Step 3
Exam Tip
(2) से (8) तक अंतर (6) है, इसलिए (s=2-6=-4)। पीछे की ओर चलते समय वही (d) घटाएं।
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यदि (-4, s, 8, 14) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (s) क्या होगा?
If (-4, s, 8, 14) are consecutive terms of an arithmetic progression, what will (s) be?
#ap
#missing term
#negative first term
#hard
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
The difference from (8) to (14) is (6), so (s=8-6=2). While moving backward, subtract the same (d).
Step 2
Why this answer is correct
The correct answer is B. (2). The difference from (8) to (14) is (6), so (s=8-6=2). While moving backward, subtract the same (d).
Step 3
Exam Tip
(8) से (14) तक अंतर (6) है, इसलिए (s=8-6=2)। पीछे की ओर चलते समय भी वही (d) घटाएं।
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यदि (4, y, 16, 22) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (y) का मान क्या होगा?
If (4, y, 16, 22) are consecutive terms of an arithmetic progression, what will be the value of (y)?
#ap
#missing term
#common difference
#hard
A (8)
B (10)
C (12)
D (14)
Explanation opens after your attempt
Step 1
Concept
The difference from (16) to (22) is (6), so (y=16-6=10). Use the same difference both forward and backward for missing terms.
Step 2
Why this answer is correct
The correct answer is B. (10). The difference from (16) to (22) is (6), so (y=16-6=10). Use the same difference both forward and backward for missing terms.
Step 3
Exam Tip
(16) से (22) का अंतर (6) है, इसलिए (y=16-6=10)। खाली पद निकालने में समान अंतर को आगे और पीछे दोनों तरफ लगाएं।
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यदि \(48,42,q,30,\ldots\) अंकगणितीय श्रेणी है तो (q) का मान क्या है?
If \(48,42,q,30,\ldots\) is an arithmetic progression, what is the value of (q)?
#ap
#missing term
#decreasing sequence
#medium
A (32)
B (34)
C (36)
D (38)
Explanation opens after your attempt
Step 1
Concept
The common difference is (42-48=-6), so (q=42-6=36). Keep (d) negative in a decreasing progression.
Step 2
Why this answer is correct
The correct answer is C. (36). The common difference is (42-48=-6), so (q=42-6=36). Keep (d) negative in a decreasing progression.
Step 3
Exam Tip
सार्व अंतर (42-48=-6) है इसलिए (q=42-6=36)। घटती श्रेणी में (d) ऋणात्मक रखें।
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यदि (5,11,n,23) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (n) क्या है?
If (5,11,n,23) are consecutive terms of an arithmetic progression, what is (n)?
#ap
#missing term
#consecutive terms
#medium
A (15)
B (16)
C (17)
D (18)
Explanation opens after your attempt
Step 1
Concept
The common difference is (11-5=6), so (n=11+6=17). It is easy to find (d) from the first two terms.
Step 2
Why this answer is correct
The correct answer is C. (17). The common difference is (11-5=6), so (n=11+6=17). It is easy to find (d) from the first two terms.
Step 3
Exam Tip
सार्व अंतर (11-5=6) है इसलिए (n=11+6=17)। पहले दो पदों से (d) निकालना आसान होता है।
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यदि (8,m,20) किसी अंकगणितीय श्रेणी के क्रमागत तीन पद हैं तो (m) क्या है?
If (8,m,20) are three consecutive terms of an arithmetic progression, what is (m)?
#ap
#middle term
#missing term
#medium
A (12)
B (13)
C (14)
D (15)
Explanation opens after your attempt
Step 1
Concept
The middle term is \(m=\frac{8+20}{2}=14\). In three consecutive terms the middle term is the average.
Step 2
Why this answer is correct
The correct answer is C. (14). The middle term is \(m=\frac{8+20}{2}=14\). In three consecutive terms the middle term is the average.
Step 3
Exam Tip
मध्य पद \(m=\frac{8+20}{2}=14\) है। तीन क्रमागत पदों में बीच वाला पद औसत होता है।
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यदि \(9,k,23,30,\ldots\) एक अंकगणितीय श्रेणी है तो (k) का मान क्या होगा?
If \(9,k,23,30,\ldots\) is an arithmetic progression, what will be the value of (k)?
#ap
#missing term
#common difference
#medium
A (14)
B (15)
C (16)
D (17)
Explanation opens after your attempt
Step 1
Concept
The difference from (23) to (30) is (7), so (k=23-7=16). For a missing term use the same difference backward.
Step 2
Why this answer is correct
The correct answer is C. (16). The difference from (23) to (30) is (7), so (k=23-7=16). For a missing term use the same difference backward.
Step 3
Exam Tip
(23) से (30) तक अंतर (7) है इसलिए (k=23-7=16)। खाली पद निकालते समय समान अंतर को पीछे की ओर लगाएं।
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अनुक्रम \(6,10,14,\Box,22,\ldots\) में रिक्त स्थान का मान क्या है?
What is the missing value in \(6,10,14,\Box,22,\ldots\)?
#arithmetic-progression
#missing-term
#class10
A (16)
B (17)
C (18)
D (19)
Explanation opens after your attempt
Step 1
Concept
The common difference is (4). Therefore, (14+4=18) fills the blank.
Step 2
Why this answer is correct
The correct answer is C. (18). The common difference is (4). Therefore, (14+4=18) fills the blank.
Step 3
Exam Tip
यहाँ सार्व अंतर (4) है। इसलिए (14+4=18) रिक्त स्थान में आएगा।
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यदि \(6,u,18,24,\ldots\) एक अंकगणितीय श्रेणी है तो (u) का मान क्या होगा?
If \(6,u,18,24,\ldots\) is an arithmetic progression, what will be the value of (u)?
#ap
#missing term
#common difference
#medium
A (10)
B (12)
C (14)
D (16)
Explanation opens after your attempt
Step 1
Concept
The difference from (18) to (24) is (6), so (u=18-6=12). While finding a missing term use the same difference forward and backward.
Step 2
Why this answer is correct
The correct answer is B. (12). The difference from (18) to (24) is (6), so (u=18-6=12). While finding a missing term use the same difference forward and backward.
Step 3
Exam Tip
(18) से (24) तक अंतर (6) है इसलिए (u=18-6=12)। खाली पद निकालते समय समान अंतर को आगे और पीछे दोनों तरफ लगाएं।
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यदि \(21,18,q,12,\ldots\) अंकगणितीय श्रेणी है तो (q) का मान क्या है?
If \(21,18,q,12,\ldots\) is an arithmetic progression, what is the value of (q)?
#ap
#missing term
#decreasing sequence
#medium
A (13)
B (14)
C (16)
D (15)
Explanation opens after your attempt
Step 1
Concept
The common difference is (18-21=-3), so (q=18-3=15). Keep (d) negative in a decreasing progression.
Step 2
Why this answer is correct
The correct answer is D. (15). The common difference is (18-21=-3), so (q=18-3=15). Keep (d) negative in a decreasing progression.
Step 3
Exam Tip
सार्व अंतर (18-21=-3) है इसलिए (q=18-3=15)। घटती श्रेणी में (d) को ऋणात्मक रखें।
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यदि (6,10,n,18) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (n) क्या है?
If (6,10,n,18) are consecutive terms of an arithmetic progression, what is (n)?
#ap
#missing term
#consecutive terms
#medium
A (12)
B (13)
C (15)
D (14)
Explanation opens after your attempt
Step 1
Concept
The common difference is (10-6=4), so (n=10+4=14). It is easy to find (d) from the first two terms.
Step 2
Why this answer is correct
The correct answer is D. (14). The common difference is (10-6=4), so (n=10+4=14). It is easy to find (d) from the first two terms.
Step 3
Exam Tip
सार्व अंतर (10-6=4) है इसलिए (n=10+4=14)। पहले दो पदों से (d) निकालना आसान होता है।
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यदि (3,m,11) किसी अंकगणितीय श्रेणी के क्रमागत तीन पद हैं तो (m) क्या है?
If (3,m,11) are three consecutive terms of an arithmetic progression, what is (m)?
#ap
#middle term
#missing term
#medium
A (7)
B (6)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
The middle term is the average of (3) and (11), so \(m=\frac{3+11}{2}=7\). In three consecutive terms the middle term is the average.
Step 2
Why this answer is correct
The correct answer is A. (7). The middle term is the average of (3) and (11), so \(m=\frac{3+11}{2}=7\). In three consecutive terms the middle term is the average.
Step 3
Exam Tip
बीच का पद (3) और (11) का औसत है इसलिए \(m=\frac{3+11}{2}=7\)। तीन क्रमागत पदों में मध्य पद औसत होता है।
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यदि \(4,k,14,19,\ldots\) एक अंकगणितीय श्रेणी है तो (k) का मान क्या होगा?
If \(4,k,14,19,\ldots\) is an arithmetic progression, what is the value of (k)?
#ap
#missing term
#common difference
#medium
A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
The difference from (14) to (19) is (5), so (k=14-5=9). Use the equal difference rule for missing terms.
Step 2
Why this answer is correct
The correct answer is D. (9). The difference from (14) to (19) is (5), so (k=14-5=9). Use the equal difference rule for missing terms.
Step 3
Exam Tip
यहां (14) से (19) तक अंतर (5) है इसलिए (k=14-5=9)। खाली पद में भी समान अंतर का नियम लगाएं।
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अनुक्रम \(5,11,17,\Box,29,\ldots\) में \(\Box\) का मान क्या है?
In the sequence \(5,11,17,\Box,29,\ldots\), what is the value of \(\Box\)?
#arithmetic-progression
#missing-term
#class10
A (21)
B (22)
C (23)
D (24)
Explanation opens after your attempt
Step 1
Concept
The common difference is (6). Therefore, (17+6=23).
Step 2
Why this answer is correct
The correct answer is C. (23). The common difference is (6). Therefore, (17+6=23).
Step 3
Exam Tip
यहाँ सार्व अंतर (6) है। इसलिए (17+6=23) होगा।
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अनुक्रम \(4,9,14,\Box,24,\ldots\) में \(\Box\) का मान क्या है?
In the sequence \(4,9,14,\Box,24,\ldots\), what is the value of \(\Box\)?
#arithmetic-progression
#missing-term
#class10
A (17)
B (18)
C (19)
D (20)
Explanation opens after your attempt
Step 1
Concept
The common difference is (5). Therefore, (14+5=19).
Step 2
Why this answer is correct
The correct answer is C. (19). The common difference is (5). Therefore, (14+5=19).
Step 3
Exam Tip
यहाँ सार्व अंतर (5) है। इसलिए (14+5=19) होगा।
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(p(x)=4x-6 -5x-4 +2x-2 -11) में \(x^5\) का गुणांक क्या है?
What is the coefficient of \(x^5\) in (p(x)=4x-6 -5x-4 +2x-2 -11)?
#missing term
#coefficient
#polynomial
A (0)
B (2)
C (4)
D (-5)
Explanation opens after your attempt
Step 1
Concept
The \(x^5\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^5\).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^5\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^5\).
Step 3
Exam Tip
\(x^5\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^5\) मानें।
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(p(x)=3x-5 -2x-4 +7x-6) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in (p(x)=3x-5 -2x-4 +7x-6)?
#missing term
#coefficient
#polynomial
A (0)
B (3)
C (-2)
D (7)
Explanation opens after your attempt
Step 1
Concept
The \(x^3\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^3\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 3
Exam Tip
\(x^3\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^3\) मानें।
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(p(x)=2x-4 -3x-3 +5x-9) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=2x-4 -3x-3 +5x-9)?
#missing term
#coefficient
#polynomial
A (0)
B (2)
C (-3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^2\).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^2\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^2\).
Step 3
Exam Tip
\(x^2\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^2\) मानें।
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(p(x)=7x-4 -2x-2 +9) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in (p(x)=7x-4 -2x-2 +9)?
#coefficient
#missing term
#quartic
A (7)
B (-2)
C (0)
D (9)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^3\)-term, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no \(x^3\)-term, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 3
Exam Tip
\(x^3\) का पद उपस्थित नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^3\) समझें।
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बहुपद (p(x)=5x-3 +0x-2 -4x+12) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=5x-3 +0x-2 -4x+12)?
#coefficient
#missing term
#polynomial
A (0)
B (5)
C (-4)
D (12)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\)-term is \(0x^2\), so the coefficient is (0). A missing or zero term has coefficient (0).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^2\)-term is \(0x^2\), so the coefficient is (0). A missing or zero term has coefficient (0).
Step 3
Exam Tip
\(x^2\) वाला पद \(0x^2\) है इसलिए गुणांक (0) है। अनुपस्थित या शून्य पद का गुणांक (0) माना जाता है।
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बहुपद \(2x^4+3x^2-5x+7\) में \(x^3\) के गुणांक और (x) के गुणांक का योग क्या है?
In \(2x^4+3x^2-5x+7\), what is the sum of the coefficient of \(x^3\) and the coefficient of (x)?
#coefficients
#missing-term
#sum
A (-5)
B (0)
C (5)
D (3)
Explanation opens after your attempt
Step 1
Concept
The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).
Step 2
Why this answer is correct
The correct answer is A. (-5). The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).
Step 3
Exam Tip
\(x^3\) का गुणांक (0) और (x) का गुणांक (-5) है। योग (-5) है।
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बहुपद \(7x^5-3x^4+x^2-11\) में अनुपस्थित \(x^3\) पद का गुणांक क्या है?
What is the coefficient of the missing \(x^3\) term in \(7x^5-3x^4+x^2-11\)?
#missing-term
#coefficient
#degree
A (7)
B (-3)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^3\) का पद नहीं है। अनुपस्थित पद का गुणांक (0) माना जाता है।
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(p(x)=2x-3 +3x-2 -5) में (x) का गुणांक क्या है?
What is the coefficient of (x) in (p(x)=2x-3 +3x-2 -5)?
#coefficient
#missing term
#cubic
A (2)
B (3)
C (0)
D (-5)
Explanation opens after your attempt
Step 1
Concept
There is no (x)-term, so its coefficient is (0). Treat the missing term as (0x).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no (x)-term, so its coefficient is (0). Treat the missing term as (0x).
Step 3
Exam Tip
इसमें (x) का पद उपस्थित नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद को (0x) समझें।
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बहुपद (p(x)=2x-2 +0x+3) में (x) का गुणांक क्या है?
What is the coefficient of (x) in (p(x)=2x-2 +0x+3)?
#coefficient
#missing term
#polynomial
A (0)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).
Step 2
Why this answer is correct
The correct answer is A. (0). The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).
Step 3
Exam Tip
(x) वाला पद (0x) है इसलिए (x) का गुणांक (0) है। अनुपस्थित पद का गुणांक (0) मानें।
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बहुपद \(x^3+4x^2-5\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(x^3+4x^2-5\)?
#coefficient
#missing-term
A (1)
B (4)
C (0)
D (-5)
Explanation opens after your attempt
Step 1
Concept
It has no (x)-term, so the coefficient of (x) is (0). It is important to identify missing terms quickly.
Step 2
Why this answer is correct
The correct answer is C. (0). It has no (x)-term, so the coefficient of (x) is (0). It is important to identify missing terms quickly.
Step 3
Exam Tip
इसमें (x) का पद नहीं है इसलिए (x) का गुणांक (0) है। अनुपस्थित पद को तुरंत पहचानना जरूरी है।
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