Class 10 given sn MCQ Questions

Question 1/21 Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि $S_n=4n^2+3n$, तो (61)वें पद से (90)वें पद तक का योग ज्ञात कीजिए।

If $S_n=4n^2+3n$, find the sum from the (61)st term to the (90)th term.

Explanation opens after your attempt

Correct Answer

A. (18090)

Step 1

Concept

The required sum is $S_{90}-S_{60}=18090$. With given $S_n$, subtract directly according to the limits.

Step 2

Why this answer is correct

The correct answer is A. (18090). The required sum is $S_{90}-S_{60}=18090$. With given $S_n$, subtract directly according to the limits.

Step 3

Exam Tip

आवश्यक योग $S_{90}-S_{60}=18090$ है। दिए गए $S_n$ में सीमाओं के अनुसार सीधे घटाव करें।

Open Question Page

Question 2/21 Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि किसी समांतर श्रेढ़ी का $S_n=5n^2-4n$ है, तो (35)वाँ पद ज्ञात कीजिए।

If the sum of an AP is $S_n=5n^2-4n$, find the (35)th term.

Explanation opens after your attempt

Correct Answer

C. (341)

Step 1

Concept

The (35)th term is $S_{35}-S_{34}=341$. To get one term, use $S_n-S_{n-1}$.

Step 2

Why this answer is correct

The correct answer is C. (341). The (35)th term is $S_{35}-S_{34}=341$. To get one term, use $S_n-S_{n-1}$.

Step 3

Exam Tip

(35)वाँ पद $S_{35}-S_{34}=341$ है। एक पद पाने के लिए $S_n-S_{n-1}$ लगाएँ।

Open Question Page

Question 3/21 Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि $S_n=3n^2+2n$, तो (51)वें पद से (80)वें पद तक का योग ज्ञात कीजिए।

If $S_n=3n^2+2n$, find the sum from the (51)st term to the (80)th term.

Explanation opens after your attempt

Correct Answer

B. (11760)

Step 1

Concept

The required sum is $S_{80}-S_{50}=11760$. When $S_n$ is given, find a range sum directly by subtraction.

Step 2

Why this answer is correct

The correct answer is B. (11760). The required sum is $S_{80}-S_{50}=11760$. When $S_n$ is given, find a range sum directly by subtraction.

Step 3

Exam Tip

आवश्यक योग $S_{80}-S_{50}=11760$ है। $S_n$ दिया हो तो सीमा-योग सीधे घटाव से निकालें।

Open Question Page

Question 4/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि किसी समांतर श्रेढ़ी का $S_n=8n^2-3n$ है, तो (51)वें पद से (70)वें पद तक का योग ज्ञात कीजिए।

If the sum of an AP is $S_n=8n^2-3n$, find the sum from the (51)st term to the (70)th term.

Explanation opens after your attempt

Correct Answer

D. (19140)

Step 1

Concept

The required sum is $S_{70}-S_{50}=19140$. When $S_n$ is given, find a range sum directly by subtraction.

Step 2

Why this answer is correct

The correct answer is D. (19140). The required sum is $S_{70}-S_{50}=19140$. When $S_n$ is given, find a range sum directly by subtraction.

Step 3

Exam Tip

आवश्यक योग $S_{70}-S_{50}=19140$ है। $S_n$ दिए होने पर सीमा-योग सीधे घटाव से निकालें।

Open Question Page

Question 5/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि (S_n=n(6n-1)), तो (31)वें पद से (50)वें पद तक का योग ज्ञात कीजिए।

If (S_n=n(6n-1)), find the sum from the (31)st term to the (50)th term.

Explanation opens after your attempt

Correct Answer

D. (9580)

Step 1

Concept

The required sum is $S_{50}-S_{30}=9580$. When starting from the (31)st term, subtract the sum up to (30).

Step 2

Why this answer is correct

The correct answer is D. (9580). The required sum is $S_{50}-S_{30}=9580$. When starting from the (31)st term, subtract the sum up to (30).

Step 3

Exam Tip

आवश्यक योग $S_{50}-S_{30}=9580$ है। (31)वें पद से शुरू होने पर (30) तक का योग घटाएँ।

Open Question Page

Question 6/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि $S_n=7n^2-2n$, तो (41)वें पद से (60)वें पद तक का योग ज्ञात कीजिए।

If $S_n=7n^2-2n$, find the sum from the (41)st term to the (60)th term.

Explanation opens after your attempt

Correct Answer

A. (13960)

Step 1

Concept

The required sum is $S_{60}-S_{40}=13960$. With given $S_n$, subtract directly according to the limits.

Step 2

Why this answer is correct

The correct answer is A. (13960). The required sum is $S_{60}-S_{40}=13960$. With given $S_n$, subtract directly according to the limits.

Step 3

Exam Tip

आवश्यक योग $S_{60}-S_{40}=13960$ है। दिए गए $S_n$ में सीमाओं के अनुसार सीधे घटाव करें।

Open Question Page

Question 7/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि किसी समांतर श्रेढ़ी का $S_n=4n^2+9n$ है, तो (27)वाँ पद ज्ञात कीजिए।

If the sum of an AP is $S_n=4n^2+9n$, find the (27)th term.

Explanation opens after your attempt

Correct Answer

B. (221)

Step 1

Concept

The (27)th term is $S_{27}-S_{26}=221$. To get a single term, use $S_n-S_{n-1}$.

Step 2

Why this answer is correct

The correct answer is B. (221). The (27)th term is $S_{27}-S_{26}=221$. To get a single term, use $S_n-S_{n-1}$.

Step 3

Exam Tip

(27)वाँ पद $S_{27}-S_{26}=221$ है। किसी एक पद को पाने के लिए $S_n-S_{n-1}$ लगाएँ।

Open Question Page

Question 8/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि $S_n=6n^2-5n$, तो (31)वें पद से (50)वें पद तक का योग ज्ञात कीजिए।

If $S_n=6n^2-5n$, find the sum from the (31)st term to the (50)th term.

Explanation opens after your attempt

Correct Answer

B. (9500)

Step 1

Concept

The required sum is $S_{50}-S_{30}=9500$. When starting from the (31)st term, subtract the sum up to (30).

Step 2

Why this answer is correct

The correct answer is B. (9500). The required sum is $S_{50}-S_{30}=9500$. When starting from the (31)st term, subtract the sum up to (30).

Step 3

Exam Tip

आवश्यक योग $S_{50}-S_{30}=9500$ है। (31)वें पद से शुरू होने पर (30) तक का योग घटाएँ।

Open Question Page

Question 9/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

यदि किसी समांतर श्रेढ़ी का $S_n=6n^2+n$ है, तो (31)वें पद से (45)वें पद तक का योग ज्ञात कीजिए।

If the sum of an AP is $S_n=6n^2+n$, find the sum from the (31)st term to the (45)th term.

Explanation opens after your attempt

Correct Answer

D. (6765)

Step 1

Concept

The required sum is $S_{45}-S_{30}=6765$. When $S_n$ is given, find a range sum directly by subtraction.

Step 2

Why this answer is correct

The correct answer is D. (6765). The required sum is $S_{45}-S_{30}=6765$. When $S_n$ is given, find a range sum directly by subtraction.

Step 3

Exam Tip

आवश्यक योग $S_{45}-S_{30}=6765$ है। $S_n$ दिए होने पर range sum सीधे घटाव से निकालें।

Open Question Page

Question 10/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

यदि (S_n=n(4n+3)), तो (21)वें पद से (35)वें पद तक का योग ज्ञात कीजिए।

If (S_n=n(4n+3)), find the sum from the (21)st term to the (35)th term.

Explanation opens after your attempt

Correct Answer

D. (3345)

Step 1

Concept

The required sum is $S_{35}-S_{20}=3345$. When starting from the (21)st term, subtract the sum up to (20).

Step 2

Why this answer is correct

The correct answer is D. (3345). The required sum is $S_{35}-S_{20}=3345$. When starting from the (21)st term, subtract the sum up to (20).

Step 3

Exam Tip

आवश्यक योग $S_{35}-S_{20}=3345$ है। (21)वें पद से शुरू होने पर (20) तक का योग घटाएँ।

Open Question Page

Question 11/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

यदि $S_n=4n^2+n$, तो (31)वें पद से (45)वें पद तक का योग ज्ञात कीजिए।

If $S_n=4n^2+n$, find the sum from the (31)st term to the (45)th term.

Explanation opens after your attempt

Correct Answer

C. (4515)

Step 1

Concept

The required sum is $S_{45}-S_{30}=4515$. With given $S_n$, find the range sum directly by subtraction.

Step 2

Why this answer is correct

The correct answer is C. (4515). The required sum is $S_{45}-S_{30}=4515$. With given $S_n$, find the range sum directly by subtraction.

Step 3

Exam Tip

आवश्यक योग $S_{45}-S_{30}=4515$ है। दिए गए $S_n$ में range sum सीधे घटाव से निकालें।

Open Question Page

Question 12/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

यदि किसी समांतर श्रेढ़ी का $S_n=3n^2+5n$ है, तो (22)वाँ पद ज्ञात कीजिए।

If the sum of an AP is $S_n=3n^2+5n$, find the (22)nd term.

Explanation opens after your attempt

Correct Answer

A. (134)

Step 1

Concept

The (22)nd term is $S_{22}-S_{21}=134$. To get a single term, use $S_n-S_{n-1}$.

Step 2

Why this answer is correct

The correct answer is A. (134). The (22)nd term is $S_{22}-S_{21}=134$. To get a single term, use $S_n-S_{n-1}$.

Step 3

Exam Tip

(22)वाँ पद $S_{22}-S_{21}=134$ है। किसी एक पद को पाने के लिए $S_n-S_{n-1}$ लगाएँ।

Open Question Page

Question 13/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

यदि $S_n=5n^2-2n$, तो (26)वें पद से (40)वें पद तक का योग ज्ञात कीजिए।

If $S_n=5n^2-2n$, find the sum from the (26)th term to the (40)th term.

Explanation opens after your attempt

Correct Answer

D. (4845)

Step 1

Concept

The required sum is $S_{40}-S_{25}=4845$. When starting from the (26)th term, subtract the sum up to (25).

Step 2

Why this answer is correct

The correct answer is D. (4845). The required sum is $S_{40}-S_{25}=4845$. When starting from the (26)th term, subtract the sum up to (25).

Step 3

Exam Tip

आवश्यक योग $S_{40}-S_{25}=4845$ है। (26)वें पद से शुरू होने पर (25) तक का योग घटाएँ।

Open Question Page

Question 14/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि किसी समांतर श्रेढ़ी का $S_n=7n^2-4n$ है, तो (21)वें पद से (30)वें पद तक का योग ज्ञात कीजिए।

If the sum of an AP is $S_n=7n^2-4n$, find the sum from the (21)st term to the (30)th term.

Explanation opens after your attempt

Correct Answer

A. (3460)

Step 1

Concept

The required sum is $S_{30}-S_{20}=3460$. When $S_n$ is given, find a range sum directly by subtraction.

Step 2

Why this answer is correct

The correct answer is A. (3460). The required sum is $S_{30}-S_{20}=3460$. When $S_n$ is given, find a range sum directly by subtraction.

Step 3

Exam Tip

आवश्यक योग $S_{30}-S_{20}=3460$ है। $S_n$ दिए होने पर range sum सीधे घटाव से निकालें।

Open Question Page

Question 15/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि (S_n=n(5n-2)), तो (16)वें पद से (25)वें पद तक का योग ज्ञात कीजिए।

If (S_n=n(5n-2)), find the sum from the (16)th term to the (25)th term.

Explanation opens after your attempt

Correct Answer

D. (1980)

Step 1

Concept

The required sum is $S_{25}-S_{15}=1980$. When starting from the (16)th term, subtract the sum up to (15).

Step 2

Why this answer is correct

The correct answer is D. (1980). The required sum is $S_{25}-S_{15}=1980$. When starting from the (16)th term, subtract the sum up to (15).

Step 3

Exam Tip

आवश्यक योग $S_{25}-S_{15}=1980$ है। (16)वें पद से शुरू होने पर (15) तक का योग घटाएँ।

Open Question Page

Question 16/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि $S_n=3n^2+4n$, तो (21)वें पद से (30)वें पद तक का योग ज्ञात कीजिए।

If $S_n=3n^2+4n$, find the sum from the (21)st term to the (30)th term.

Explanation opens after your attempt

Correct Answer

C. (1540)

Step 1

Concept

The required sum is $S_{30}-S_{20}=1540$. If the range starts at (21), subtract the sum up to (20).

Step 2

Why this answer is correct

The correct answer is C. (1540). The required sum is $S_{30}-S_{20}=1540$. If the range starts at (21), subtract the sum up to (20).

Step 3

Exam Tip

आवश्यक योग $S_{30}-S_{20}=1540$ है। सीमा (21) से शुरू हो तो (20) तक का योग घटाएँ।

Open Question Page

Question 17/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि किसी समांतर श्रेढ़ी का $S_n=2n^2+7n$ है, तो (18)वाँ पद ज्ञात कीजिए।

If the sum of an AP is $S_n=2n^2+7n$, find the (18)th term.

Explanation opens after your attempt

Correct Answer

A. (77)

Step 1

Concept

The (18)th term is $S_{18}-S_{17}=77$. To get a term, use $S_n-S_{n-1}$.

Step 2

Why this answer is correct

The correct answer is A. (77). The (18)th term is $S_{18}-S_{17}=77$. To get a term, use $S_n-S_{n-1}$.

Step 3

Exam Tip

(18)वाँ पद $S_{18}-S_{17}=77$ है। किसी पद को पाने के लिए $S_n-S_{n-1}$ लगाएँ।

Open Question Page

Question 18/21 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

यदि किसी समांतर श्रेढ़ी के पहले (n) पदों का योग $S_n=4n^2-3n$ है, तो (12)वें पद से (20)वें पद तक का योग ज्ञात कीजिए।

If the sum of the first (n) terms of an AP is $S_n=4n^2-3n$, find the sum from the (12)th term to the (20)th term.

Explanation opens after your attempt

Correct Answer

D. (1089)

Step 1

Concept

The sum is $S_{20}-S_{11}=1089$. When starting from the (12)th term, subtract the sum up to (11) terms.

Step 2

Why this answer is correct

The correct answer is D. (1089). The sum is $S_{20}-S_{11}=1089$. When starting from the (12)th term, subtract the sum up to (11) terms.

Step 3

Exam Tip

योग $S_{20}-S_{11}=1089$ होगा। (12)वें से शुरू होने पर (11) पदों तक का योग घटाना होता है।

Open Question Page

Question 19/21 Medium Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि $S_n=5n^2-n$, तो $S_{9}$ का मान क्या है?

If $S_n=5n^2-n$, what is the value of $S_9$?

Explanation opens after your attempt

Correct Answer

A. (396)

Step 1

Concept

(S_9=5(9)²-9=396). Pay attention to the sign because subtraction is involved.

Step 2

Why this answer is correct

The correct answer is A. (396). (S_9=5(9)²-9=396). Pay attention to the sign because subtraction is involved.

Step 3

Exam Tip

(S_9=5(9)²-9=396)। संकेत का ध्यान रखें क्योंकि यहाँ घटाव है।

Open Question Page

Question 20/21 Medium Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि $S_n=n^2+4n$, तो $S_{20}$ का मान क्या होगा?

If $S_n=n^2+4n$, what is the value of $S_{20}$?

Explanation opens after your attempt

Correct Answer

C. (480)

Step 1

Concept

(S_{20}=20²+4(20)=480). In such a question, there is no need to find (a) and (d) separately.

Step 2

Why this answer is correct

The correct answer is C. (480). (S_{20}=20²+4(20)=480). In such a question, there is no need to find (a) and (d) separately.

Step 3

Exam Tip

(S_{20}=20²+4(20)=480)। ऐसे प्रश्न में अलग से (a) और (d) निकालने की जरूरत नहीं है।

Open Question Page

Question 21/21 Medium Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

किसी समांतर श्रेढ़ी में $S_n=2n^2+5n$ है। पहले (8) पदों का योग क्या होगा?

In an AP, $S_n=2n^2+5n$. What is the sum of the first (8) terms?

Explanation opens after your attempt

Correct Answer

A. (168)

Step 1

Concept

(S_8=2(8)²+5(8)=168). Put (n=8) directly in the given $S_n$.

Step 2

Why this answer is correct

The correct answer is A. (168). (S_8=2(8)²+5(8)=168). Put (n=8) directly in the given $S_n$.

Step 3

Exam Tip

(S_8=2(8)²+5(8)=168)। दिए गए $S_n$ में सीधे (n=8) रखें।

Open Question Page

given sn MCQ Questions for Class 10

Practice Questions

यदि \(S_n=4n^2+3n\), तो (61)वें पद से (90)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि किसी समांतर श्रेढ़ी का \(S_n=5n^2-4n\) है, तो (35)वाँ पद ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि \(S_n=3n^2+2n\), तो (51)वें पद से (80)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि किसी समांतर श्रेढ़ी का \(S_n=8n^2-3n\) है, तो (51)वें पद से (70)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि (S_n=n(6n-1)), तो (31)वें पद से (50)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि \(S_n=7n^2-2n\), तो (41)वें पद से (60)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि किसी समांतर श्रेढ़ी का \(S_n=4n^2+9n\) है, तो (27)वाँ पद ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि \(S_n=6n^2-5n\), तो (31)वें पद से (50)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि किसी समांतर श्रेढ़ी का \(S_n=6n^2+n\) है, तो (31)वें पद से (45)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि (S_n=n(4n+3)), तो (21)वें पद से (35)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि \(S_n=4n^2+n\), तो (31)वें पद से (45)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि किसी समांतर श्रेढ़ी का \(S_n=3n^2+5n\) है, तो (22)वाँ पद ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि \(S_n=5n^2-2n\), तो (26)वें पद से (40)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि किसी समांतर श्रेढ़ी का \(S_n=7n^2-4n\) है, तो (21)वें पद से (30)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि (S_n=n(5n-2)), तो (16)वें पद से (25)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि \(S_n=3n^2+4n\), तो (21)वें पद से (30)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि किसी समांतर श्रेढ़ी का \(S_n=2n^2+7n\) है, तो (18)वाँ पद ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि किसी समांतर श्रेढ़ी के पहले (n) पदों का योग \(S_n=4n^2-3n\) है, तो (12)वें पद से (20)वें पद तक का योग ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

यदि \(S_n=5n^2-n\), तो \(S_{9}\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(S_n=n^2+4n\), तो \(S_{20}\) का मान क्या होगा?

Concept