Class 9 Mathematics - Exploring Algebraic Identities - Visual models of identities Easy Quiz

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पहले (29) प्राकृतिक संख्याओं का योग क्या है?

What is the sum of the first (29) natural numbers?

Explanation opens after your attempt
Correct Answer

B. (435)

Step 1

Concept

\(S_{29}=\frac{29\cdot30}{2}=435\). Divide (30) by (2) first.

Step 2

Why this answer is correct

The correct answer is B. (435). \(S_{29}=\frac{29\cdot30}{2}=435\). Divide (30) by (2) first.

Step 3

Exam Tip

\(S_{29}=\frac{29\cdot30}{2}=435\)। पहले (30) को (2) से भाग दें।

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पहले (31) प्राकृतिक संख्याओं का योग ज्ञात कीजिए।

Find the sum of the first (31) natural numbers.

Explanation opens after your attempt
Correct Answer

B. (496)

Step 1

Concept

\(S_{31}=\frac{31\cdot32}{2}=496\). Halve the even number and multiply.

Step 2

Why this answer is correct

The correct answer is B. (496). \(S_{31}=\frac{31\cdot32}{2}=496\). Halve the even number and multiply.

Step 3

Exam Tip

\(S_{31}=\frac{31\cdot32}{2}=496\)। सम संख्या को आधा करके गुणा करें।

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\(1+2+3+\cdots+33\) का मान क्या होगा?

What will be the value of \(1+2+3+\cdots+33\)?

Explanation opens after your attempt
Correct Answer

C. (561)

Step 1

Concept

\(S_{33}=\frac{33\cdot34}{2}=561\). The formula is the quickest method for long addition.

Step 2

Why this answer is correct

The correct answer is C. (561). \(S_{33}=\frac{33\cdot34}{2}=561\). The formula is the quickest method for long addition.

Step 3

Exam Tip

\(S_{33}=\frac{33\cdot34}{2}=561\)। लंबे जोड़ में सूत्र सबसे तेज तरीका है।

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पहले (34) प्राकृतिक संख्याओं का योग कौन सा है?

Which is the sum of the first (34) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (595)

Step 1

Concept

\(S_{34}=\frac{34\cdot35}{2}=595\). Take half of (34) as (17) and calculate \(17\cdot35\).

Step 2

Why this answer is correct

The correct answer is C. (595). \(S_{34}=\frac{34\cdot35}{2}=595\). Take half of (34) as (17) and calculate \(17\cdot35\).

Step 3

Exam Tip

\(S_{34}=\frac{34\cdot35}{2}=595\)। (34) का आधा (17) लेकर \(17\cdot35\) करें।

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पहले (37) प्राकृतिक संख्याओं का योग कितना है?

How much is the sum of the first (37) natural numbers?

Explanation opens after your attempt
Correct Answer

B. (703)

Step 1

Concept

\(S_{37}=\frac{37\cdot38}{2}=703\). Halve (38) to (19) and multiply.

Step 2

Why this answer is correct

The correct answer is B. (703). \(S_{37}=\frac{37\cdot38}{2}=703\). Halve (38) to (19) and multiply.

Step 3

Exam Tip

\(S_{37}=\frac{37\cdot38}{2}=703\)। (38) का आधा (19) करके गुणा करें।

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\(1+2+3+\cdots+38\) का योग क्या है?

What is the sum of \(1+2+3+\cdots+38\)?

Explanation opens after your attempt
Correct Answer

A. (741)

Step 1

Concept

\(S_{38}=\frac{38\cdot39}{2}=741\). Divide (38) by (2) first.

Step 2

Why this answer is correct

The correct answer is A. (741). \(S_{38}=\frac{38\cdot39}{2}=741\). Divide (38) by (2) first.

Step 3

Exam Tip

\(S_{38}=\frac{38\cdot39}{2}=741\)। पहले (38) को (2) से भाग दें।

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पहले (39) प्राकृतिक संख्याओं का योग ज्ञात कीजिए।

Find the sum of the first (39) natural numbers.

Explanation opens after your attempt
Correct Answer

C. (780)

Step 1

Concept

\(S_{39}=\frac{39\cdot40}{2}=780\). Take half of (40) as (20) and calculate \(39\cdot20\).

Step 2

Why this answer is correct

The correct answer is C. (780). \(S_{39}=\frac{39\cdot40}{2}=780\). Take half of (40) as (20) and calculate \(39\cdot20\).

Step 3

Exam Tip

\(S_{39}=\frac{39\cdot40}{2}=780\)। (40) का आधा (20) लेकर \(39\cdot20\) करें।

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पहले (41) प्राकृतिक संख्याओं का योग क्या होगा?

What will be the sum of the first (41) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (861)

Step 1

Concept

\(S_{41}=\frac{41\cdot42}{2}=861\). Divide (42) by (2) and calculate \(21\cdot41\).

Step 2

Why this answer is correct

The correct answer is C. (861). \(S_{41}=\frac{41\cdot42}{2}=861\). Divide (42) by (2) and calculate \(21\cdot41\).

Step 3

Exam Tip

\(S_{41}=\frac{41\cdot42}{2}=861\)। (42) को (2) से भाग देकर \(21\cdot41\) करें।

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पहले (42) प्राकृतिक संख्याओं का योग कितना है?

How much is the sum of the first (42) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (903)

Step 1

Concept

\(S_{42}=\frac{42\cdot43}{2}=903\). Halve (42) to (21) and multiply.

Step 2

Why this answer is correct

The correct answer is C. (903). \(S_{42}=\frac{42\cdot43}{2}=903\). Halve (42) to (21) and multiply.

Step 3

Exam Tip

\(S_{42}=\frac{42\cdot43}{2}=903\)। (42) का आधा (21) करके गुणा करें।

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\(1+2+3+\cdots+43\) का मान क्या है?

What is the value of \(1+2+3+\cdots+43\)?

Explanation opens after your attempt
Correct Answer

C. (946)

Step 1

Concept

\(S_{43}=\frac{43\cdot44}{2}=946\). Take half of (44) as (22) and calculate \(43\cdot22\).

Step 2

Why this answer is correct

The correct answer is C. (946). \(S_{43}=\frac{43\cdot44}{2}=946\). Take half of (44) as (22) and calculate \(43\cdot22\).

Step 3

Exam Tip

\(S_{43}=\frac{43\cdot44}{2}=946\)। (44) का आधा (22) लेकर \(43\cdot22\) करें।

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पहले (44) प्राकृतिक संख्याओं का योग कौन सा है?

Which is the sum of the first (44) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (990)

Step 1

Concept

\(S_{44}=\frac{44\cdot45}{2}=990\). Halve (44) and calculate \(22\cdot45\).

Step 2

Why this answer is correct

The correct answer is C. (990). \(S_{44}=\frac{44\cdot45}{2}=990\). Halve (44) and calculate \(22\cdot45\).

Step 3

Exam Tip

\(S_{44}=\frac{44\cdot45}{2}=990\)। (44) को आधा करके \(22\cdot45\) करें।

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पहले (46) प्राकृतिक संख्याओं का योग क्या है?

What is the sum of the first (46) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (1081)

Step 1

Concept

\(S_{46}=\frac{46\cdot47}{2}=1081\). Take half of (46) as (23) and multiply.

Step 2

Why this answer is correct

The correct answer is C. (1081). \(S_{46}=\frac{46\cdot47}{2}=1081\). Take half of (46) as (23) and multiply.

Step 3

Exam Tip

\(S_{46}=\frac{46\cdot47}{2}=1081\)। (46) का आधा (23) लेकर गुणा करें।

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पहले (47) प्राकृतिक संख्याओं का योग ज्ञात कीजिए।

Find the sum of the first (47) natural numbers.

Explanation opens after your attempt
Correct Answer

B. (1128)

Step 1

Concept

\(S_{47}=\frac{47\cdot48}{2}=1128\). Take half of (48) as (24) and calculate \(47\cdot24\).

Step 2

Why this answer is correct

The correct answer is B. (1128). \(S_{47}=\frac{47\cdot48}{2}=1128\). Take half of (48) as (24) and calculate \(47\cdot24\).

Step 3

Exam Tip

\(S_{47}=\frac{47\cdot48}{2}=1128\)। (48) का आधा (24) लेकर \(47\cdot24\) करें।

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\(1+2+3+\cdots+48\) का योग क्या होगा?

What will be the sum of \(1+2+3+\cdots+48\)?

Explanation opens after your attempt
Correct Answer

B. (1176)

Step 1

Concept

\(S_{48}=\frac{48\cdot49}{2}=1176\). Divide (48) by (2) and calculate \(24\cdot49\).

Step 2

Why this answer is correct

The correct answer is B. (1176). \(S_{48}=\frac{48\cdot49}{2}=1176\). Divide (48) by (2) and calculate \(24\cdot49\).

Step 3

Exam Tip

\(S_{48}=\frac{48\cdot49}{2}=1176\)। (48) को (2) से भाग देकर \(24\cdot49\) करें।

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पहले (49) प्राकृतिक संख्याओं का योग कितना है?

How much is the sum of the first (49) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (1225)

Step 1

Concept

\(S_{49}=\frac{49\cdot50}{2}=1225\). Take half of (50) as (25) and calculate \(49\cdot25\).

Step 2

Why this answer is correct

The correct answer is C. (1225). \(S_{49}=\frac{49\cdot50}{2}=1225\). Take half of (50) as (25) and calculate \(49\cdot25\).

Step 3

Exam Tip

\(S_{49}=\frac{49\cdot50}{2}=1225\)। (50) का आधा (25) लेकर \(49\cdot25\) करें।

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पहले (52) प्राकृतिक संख्याओं का योग कौन सा है?

Which is the sum of the first (52) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (1378)

Step 1

Concept

\(S_{52}=\frac{52\cdot53}{2}=1378\). Take half of (52) as (26) and calculate \(26\cdot53\).

Step 2

Why this answer is correct

The correct answer is C. (1378). \(S_{52}=\frac{52\cdot53}{2}=1378\). Take half of (52) as (26) and calculate \(26\cdot53\).

Step 3

Exam Tip

\(S_{52}=\frac{52\cdot53}{2}=1378\)। (52) का आधा (26) लेकर \(26\cdot53\) करें।

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यदि \(S_n=595\), तो (n) का मान क्या है?

If \(S_n=595\), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

C. (34)

Step 1

Concept

\(\frac{34\cdot35}{2}=595\), so (n=34). Check the option in the formula.

Step 2

Why this answer is correct

The correct answer is C. (34). \(\frac{34\cdot35}{2}=595\), so (n=34). Check the option in the formula.

Step 3

Exam Tip

\(\frac{34\cdot35}{2}=595\), इसलिए (n=34)। विकल्प को सूत्र में रखकर जांचें।

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यदि पहले (n) प्राकृतिक संख्याओं का योग (741) है, तो (n) क्या होगा?

If the sum of the first (n) natural numbers is (741), what will (n) be?

Explanation opens after your attempt
Correct Answer

C. (38)

Step 1

Concept

\(\frac{38\cdot39}{2}=741\), so (n=38). In such questions, options can be checked quickly.

Step 2

Why this answer is correct

The correct answer is C. (38). \(\frac{38\cdot39}{2}=741\), so (n=38). In such questions, options can be checked quickly.

Step 3

Exam Tip

\(\frac{38\cdot39}{2}=741\), इसलिए (n=38)। ऐसे प्रश्नों में विकल्प जल्दी जांचे जा सकते हैं।

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यदि \(S_n=861\), तो (n) का सही मान क्या है?

If \(S_n=861\), what is the correct value of (n)?

Explanation opens after your attempt
Correct Answer

C. (41)

Step 1

Concept

\(\frac{41\cdot42}{2}=861\), so (n=41). Always verify the answer with the formula.

Step 2

Why this answer is correct

The correct answer is C. (41). \(\frac{41\cdot42}{2}=861\), so (n=41). Always verify the answer with the formula.

Step 3

Exam Tip

\(\frac{41\cdot42}{2}=861\), इसलिए (n=41)। उत्तर को सूत्र से अवश्य सत्यापित करें।

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यदि पहले (n) प्राकृतिक संख्याओं का योग (990) है, तो (n) क्या है?

If the sum of the first (n) natural numbers is (990), what is (n)?

Explanation opens after your attempt
Correct Answer

C. (44)

Step 1

Concept

\(\frac{44\cdot45}{2}=990\), so (n=44). Match the options using the formula.

Step 2

Why this answer is correct

The correct answer is C. (44). \(\frac{44\cdot45}{2}=990\), so (n=44). Match the options using the formula.

Step 3

Exam Tip

\(\frac{44\cdot45}{2}=990\), इसलिए (n=44)। विकल्पों को सूत्र में रखकर मिलान करें।

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यदि \(S_n=1128\), तो (n) क्या होगा?

If \(S_n=1128\), what will (n) be?

Explanation opens after your attempt
Correct Answer

C. (47)

Step 1

Concept

\(\frac{47\cdot48}{2}=1128\), so (n=47). Checking options is easy for finding (n).

Step 2

Why this answer is correct

The correct answer is C. (47). \(\frac{47\cdot48}{2}=1128\), so (n=47). Checking options is easy for finding (n).

Step 3

Exam Tip

\(\frac{47\cdot48}{2}=1128\), इसलिए (n=47)। (n) खोजने के लिए विकल्पों की जांच आसान है।

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यदि \(S_n=1225\), तो (n) का मान क्या होगा?

If \(S_n=1225\), what will be the value of (n)?

Explanation opens after your attempt
Correct Answer

C. (49)

Step 1

Concept

\(\frac{49\cdot50}{2}=1225\), so (n=49). Substituting options in the formula gives the answer quickly.

Step 2

Why this answer is correct

The correct answer is C. (49). \(\frac{49\cdot50}{2}=1225\), so (n=49). Substituting options in the formula gives the answer quickly.

Step 3

Exam Tip

\(\frac{49\cdot50}{2}=1225\), इसलिए (n=49)। सूत्र में विकल्प रखने से उत्तर जल्दी मिलता है।

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एक विद्यार्थी ने (1) से (29) तक की प्राकृतिक संख्याएं जोड़ीं। योग क्या मिलेगा?

A student added natural numbers from (1) to (29). What sum will be obtained?

Explanation opens after your attempt
Correct Answer

C. (435)

Step 1

Concept

The sum from (1) to (29) is \(S_{29}=435\). The last number is (n).

Step 2

Why this answer is correct

The correct answer is C. (435). The sum from (1) to (29) is \(S_{29}=435\). The last number is (n).

Step 3

Exam Tip

(1) से (29) तक का योग \(S_{29}=435\) है। अंतिम संख्या ही (n) होती है।

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कक्षा में (1) से (31) तक संख्या लिखकर उनका योग पूछा गया। सही उत्तर क्या है?

In class, numbers from (1) to (31) were written and their sum was asked. What is the correct answer?

Explanation opens after your attempt
Correct Answer

B. (496)

Step 1

Concept

\(S_{31}=\frac{31\cdot32}{2}=496\). Take the last number (31) as (n).

Step 2

Why this answer is correct

The correct answer is B. (496). \(S_{31}=\frac{31\cdot32}{2}=496\). Take the last number (31) as (n).

Step 3

Exam Tip

\(S_{31}=\frac{31\cdot32}{2}=496\)। अंतिम संख्या (31) को (n) मानें।

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एक सूची में (1) से (33) तक की संख्याएं हैं। इनका योग क्या है?

A list has numbers from (1) to (33). What is their sum?

Explanation opens after your attempt
Correct Answer

C. (561)

Step 1

Concept

By the formula, \(S_{33}=\frac{33\cdot34}{2}=561\). If the list starts from (1), use the natural-number sum directly.

Step 2

Why this answer is correct

The correct answer is C. (561). By the formula, \(S_{33}=\frac{33\cdot34}{2}=561\). If the list starts from (1), use the natural-number sum directly.

Step 3

Exam Tip

सूत्र से \(S_{33}=\frac{33\cdot34}{2}=561\)। सूची (1) से शुरू हो तो सीधे प्राकृतिक संख्या का योग लगाएं।

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एक छात्र ने (1) से (37) तक सभी संख्याएं जोड़ीं। परिणाम क्या होगा?

A student added all numbers from (1) to (37). What will be the result?

Explanation opens after your attempt
Correct Answer

C. (703)

Step 1

Concept

The sum from (1) to (37) is \(\frac{37\cdot38}{2}=703\). Halving (38) is easy.

Step 2

Why this answer is correct

The correct answer is C. (703). The sum from (1) to (37) is \(\frac{37\cdot38}{2}=703\). Halving (38) is easy.

Step 3

Exam Tip

(1) से (37) तक का योग \(\frac{37\cdot38}{2}=703\) है। (38) को आधा करना आसान है।

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(1) से (42) तक की प्राकृतिक संख्याओं का योग क्या है?

What is the sum of natural numbers from (1) to (42)?

Explanation opens after your attempt
Correct Answer

C. (903)

Step 1

Concept

\(S_{42}=\frac{42\cdot43}{2}=903\). Halve (42) and calculate \(21\cdot43\).

Step 2

Why this answer is correct

The correct answer is C. (903). \(S_{42}=\frac{42\cdot43}{2}=903\). Halve (42) and calculate \(21\cdot43\).

Step 3

Exam Tip

\(S_{42}=\frac{42\cdot43}{2}=903\)। (42) को आधा करके \(21\cdot43\) करें।

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एक अभ्यास में \(1+2+3+\cdots+46\) निकालना है। सही मान क्या है?

In an exercise, \(1+2+3+\cdots+46\) is to be found. What is the correct value?

Explanation opens after your attempt
Correct Answer

C. (1081)

Step 1

Concept

\(S_{46}=\frac{46\cdot47}{2}=1081\). If the addition is long, use the formula.

Step 2

Why this answer is correct

The correct answer is C. (1081). \(S_{46}=\frac{46\cdot47}{2}=1081\). If the addition is long, use the formula.

Step 3

Exam Tip

\(S_{46}=\frac{46\cdot47}{2}=1081\)। जोड़ लंबा हो तो सूत्र उपयोग करें।

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पहले (54) प्राकृतिक संख्याओं का योग ज्ञात कीजिए।

Find the sum of the first (54) natural numbers.

Explanation opens after your attempt
Correct Answer

C. (1485)

Step 1

Concept

\(S_{54}=\frac{54\cdot55}{2}=1485\). Take half of (54) as (27) and calculate \(27\cdot55\).

Step 2

Why this answer is correct

The correct answer is C. (1485). \(S_{54}=\frac{54\cdot55}{2}=1485\). Take half of (54) as (27) and calculate \(27\cdot55\).

Step 3

Exam Tip

\(S_{54}=\frac{54\cdot55}{2}=1485\)। (54) का आधा (27) लेकर \(27\cdot55\) करें।

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पहले (58) प्राकृतिक संख्याओं का योग कितना है?

How much is the sum of the first (58) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (1711)

Step 1

Concept

\(S_{58}=\frac{58\cdot59}{2}=1711\). Divide (58) by (2) and calculate \(29\cdot59\).

Step 2

Why this answer is correct

The correct answer is C. (1711). \(S_{58}=\frac{58\cdot59}{2}=1711\). Divide (58) by (2) and calculate \(29\cdot59\).

Step 3

Exam Tip

\(S_{58}=\frac{58\cdot59}{2}=1711\)। (58) को (2) से भाग देकर \(29\cdot59\) करें।

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पहले (65) प्राकृतिक संख्याओं का योग क्या होगा?

What will be the sum of the first (65) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (2145)

Step 1

Concept

\(S_{65}=\frac{65\cdot66}{2}=2145\). Take half of (66) as (33) and calculate \(65\cdot33\).

Step 2

Why this answer is correct

The correct answer is C. (2145). \(S_{65}=\frac{65\cdot66}{2}=2145\). Take half of (66) as (33) and calculate \(65\cdot33\).

Step 3

Exam Tip

\(S_{65}=\frac{65\cdot66}{2}=2145\)। (66) का आधा (33) लेकर \(65\cdot33\) करें।

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पहले (70) प्राकृतिक संख्याओं का योग कौन सा है?

Which is the sum of the first (70) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (2485)

Step 1

Concept

\(S_{70}=\frac{70\cdot71}{2}=2485\). Take half of (70) as (35) and multiply.

Step 2

Why this answer is correct

The correct answer is C. (2485). \(S_{70}=\frac{70\cdot71}{2}=2485\). Take half of (70) as (35) and multiply.

Step 3

Exam Tip

\(S_{70}=\frac{70\cdot71}{2}=2485\)। (70) का आधा (35) लेकर गुणा करें।

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\(1+2+3+\cdots+80\) का मान क्या है?

What is the value of \(1+2+3+\cdots+80\)?

Explanation opens after your attempt
Correct Answer

C. (3240)

Step 1

Concept

\(S_{80}=\frac{80\cdot81}{2}=3240\). Take half of (80) as (40) and calculate \(40\cdot81\).

Step 2

Why this answer is correct

The correct answer is C. (3240). \(S_{80}=\frac{80\cdot81}{2}=3240\). Take half of (80) as (40) and calculate \(40\cdot81\).

Step 3

Exam Tip

\(S_{80}=\frac{80\cdot81}{2}=3240\)। (80) का आधा (40) लेकर \(40\cdot81\) करें।

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पहले (90) प्राकृतिक संख्याओं का योग कितना है?

How much is the sum of the first (90) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (4095)

Step 1

Concept

\(S_{90}=\frac{90\cdot91}{2}=4095\). Halve (90) and calculate \(45\cdot91\).

Step 2

Why this answer is correct

The correct answer is C. (4095). \(S_{90}=\frac{90\cdot91}{2}=4095\). Halve (90) and calculate \(45\cdot91\).

Step 3

Exam Tip

\(S_{90}=\frac{90\cdot91}{2}=4095\)। (90) को आधा करके \(45\cdot91\) करें।

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यदि \(S_n=1485\), तो (n) का मान क्या है?

If \(S_n=1485\), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

C. (54)

Step 1

Concept

\(\frac{54\cdot55}{2}=1485\), so (n=54). Match the options by putting them in the formula.

Step 2

Why this answer is correct

The correct answer is C. (54). \(\frac{54\cdot55}{2}=1485\), so (n=54). Match the options by putting them in the formula.

Step 3

Exam Tip

\(\frac{54\cdot55}{2}=1485\), इसलिए (n=54)। विकल्पों को सूत्र में रखकर मिलाएं।

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यदि पहले (n) प्राकृतिक संख्याओं का योग (2145) है, तो (n) क्या है?

If the sum of the first (n) natural numbers is (2145), what is (n)?

Explanation opens after your attempt
Correct Answer

C. (65)

Step 1

Concept

\(\frac{65\cdot66}{2}=2145\), so (n=65). Verify the correct option using the formula.

Step 2

Why this answer is correct

The correct answer is C. (65). \(\frac{65\cdot66}{2}=2145\), so (n=65). Verify the correct option using the formula.

Step 3

Exam Tip

\(\frac{65\cdot66}{2}=2145\), इसलिए (n=65)। सही विकल्प को सूत्र से सत्यापित करें।

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यदि \(S_n=3240\), तो (n) कितना होगा?

If \(S_n=3240\), how much is (n)?

Explanation opens after your attempt
Correct Answer

C. (80)

Step 1

Concept

\(\frac{80\cdot81}{2}=3240\), so (n=80). In such questions, checking options is simple.

Step 2

Why this answer is correct

The correct answer is C. (80). \(\frac{80\cdot81}{2}=3240\), so (n=80). In such questions, checking options is simple.

Step 3

Exam Tip

\(\frac{80\cdot81}{2}=3240\), इसलिए (n=80)। ऐसे प्रश्नों में विकल्प जांचना सरल रहता है।

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यदि \(S_n=4095\), तो (n) का सही मान क्या है?

If \(S_n=4095\), what is the correct value of (n)?

Explanation opens after your attempt
Correct Answer

C. (90)

Step 1

Concept

\(\frac{90\cdot91}{2}=4095\), so (n=90). Check the answer once with the formula.

Step 2

Why this answer is correct

The correct answer is C. (90). \(\frac{90\cdot91}{2}=4095\), so (n=90). Check the answer once with the formula.

Step 3

Exam Tip

\(\frac{90\cdot91}{2}=4095\), इसलिए (n=90)। उत्तर को सूत्र से एक बार जरूर जांचें।

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एक बच्चे ने (1) से (54) तक प्राकृतिक संख्याओं का योग निकाला। सही योग क्या है?

A child found the sum of natural numbers from (1) to (54). What is the correct sum?

Explanation opens after your attempt
Correct Answer

C. (1485)

Step 1

Concept

The sum from (1) to (54) is \(S_{54}=1485\). Take the last number as (n) and apply the formula.

Step 2

Why this answer is correct

The correct answer is C. (1485). The sum from (1) to (54) is \(S_{54}=1485\). Take the last number as (n) and apply the formula.

Step 3

Exam Tip

(1) से (54) तक का योग \(S_{54}=1485\) है। अंतिम संख्या को (n) मानकर सूत्र लगाएं।

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एक तालिका में (1) से (58) तक की संख्याएं हैं। उनका योग क्या है?

A table contains numbers from (1) to (58). What is their sum?

Explanation opens after your attempt
Correct Answer

C. (1711)

Step 1

Concept

\(S_{58}=\frac{58\cdot59}{2}=1711\). For a list starting from (1), use the natural-number sum formula.

Step 2

Why this answer is correct

The correct answer is C. (1711). \(S_{58}=\frac{58\cdot59}{2}=1711\). For a list starting from (1), use the natural-number sum formula.

Step 3

Exam Tip

\(S_{58}=\frac{58\cdot59}{2}=1711\)। (1) से शुरू होने वाली सूची में प्राकृतिक संख्या योग सूत्र लगाएं।

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(1) से (65) तक की संख्याओं का कुल योग क्या होगा?

What will be the total sum of numbers from (1) to (65)?

Explanation opens after your attempt
Correct Answer

C. (2145)

Step 1

Concept

\(S_{65}=\frac{65\cdot66}{2}=2145\). Take half of (66) as (33) and multiply.

Step 2

Why this answer is correct

The correct answer is C. (2145). \(S_{65}=\frac{65\cdot66}{2}=2145\). Take half of (66) as (33) and multiply.

Step 3

Exam Tip

\(S_{65}=\frac{65\cdot66}{2}=2145\)। (66) का आधा (33) लेकर गुणा करें।

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एक अभ्यास पुस्तिका में \(1+2+3+\cdots+70\) पूछा गया है। उत्तर क्या है?

A workbook asks \(1+2+3+\cdots+70\). What is the answer?

Explanation opens after your attempt
Correct Answer

C. (2485)

Step 1

Concept

\(S_{70}=\frac{70\cdot71}{2}=2485\). The formula solves large sums quickly.

Step 2

Why this answer is correct

The correct answer is C. (2485). \(S_{70}=\frac{70\cdot71}{2}=2485\). The formula solves large sums quickly.

Step 3

Exam Tip

\(S_{70}=\frac{70\cdot71}{2}=2485\)। सूत्र से बड़ा जोड़ जल्दी हल होता है।

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एक प्रश्न में (1) से (80) तक की प्राकृतिक संख्याएं जोड़नी हैं। सही योग क्या है?

In a question, natural numbers from (1) to (80) are to be added. What is the correct sum?

Explanation opens after your attempt
Correct Answer

C. (3240)

Step 1

Concept

The sum from (1) to (80) is \(S_{80}=3240\). Take the last number (80) as (n).

Step 2

Why this answer is correct

The correct answer is C. (3240). The sum from (1) to (80) is \(S_{80}=3240\). Take the last number (80) as (n).

Step 3

Exam Tip

(1) से (80) तक का योग \(S_{80}=3240\) है। अंतिम संख्या (80) को (n) मानें।

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पहले (72) प्राकृतिक संख्याओं का योग ज्ञात कीजिए।

Find the sum of the first (72) natural numbers.

Explanation opens after your attempt
Correct Answer

C. (2628)

Step 1

Concept

\(S_{72}=\frac{72\cdot73}{2}=2628\). Take half of (72) as (36) and calculate \(36\cdot73\).

Step 2

Why this answer is correct

The correct answer is C. (2628). \(S_{72}=\frac{72\cdot73}{2}=2628\). Take half of (72) as (36) and calculate \(36\cdot73\).

Step 3

Exam Tip

\(S_{72}=\frac{72\cdot73}{2}=2628\)। (72) का आधा (36) लेकर \(36\cdot73\) करें।

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पहले (85) प्राकृतिक संख्याओं का योग कितना है?

How much is the sum of the first (85) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (3655)

Step 1

Concept

\(S_{85}=\frac{85\cdot86}{2}=3655\). Take half of (86) as (43) and calculate \(85\cdot43\).

Step 2

Why this answer is correct

The correct answer is C. (3655). \(S_{85}=\frac{85\cdot86}{2}=3655\). Take half of (86) as (43) and calculate \(85\cdot43\).

Step 3

Exam Tip

\(S_{85}=\frac{85\cdot86}{2}=3655\)। (86) का आधा (43) लेकर \(85\cdot43\) करें।

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यदि \(S_n=2628\), तो (n) का मान क्या है?

If \(S_n=2628\), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

C. (72)

Step 1

Concept

\(\frac{72\cdot73}{2}=2628\), so (n=72). Match the options by putting them in the formula.

Step 2

Why this answer is correct

The correct answer is C. (72). \(\frac{72\cdot73}{2}=2628\), so (n=72). Match the options by putting them in the formula.

Step 3

Exam Tip

\(\frac{72\cdot73}{2}=2628\), इसलिए (n=72)। विकल्पों को सूत्र में रखकर मिलान करें।

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यदि \(S_n=3655\), तो (n) क्या होगा?

If \(S_n=3655\), what will (n) be?

Explanation opens after your attempt
Correct Answer

C. (85)

Step 1

Concept

\(\frac{85\cdot86}{2}=3655\), so (n=85). Use the formula to get the correct (n).

Step 2

Why this answer is correct

The correct answer is C. (85). \(\frac{85\cdot86}{2}=3655\), so (n=85). Use the formula to get the correct (n).

Step 3

Exam Tip

\(\frac{85\cdot86}{2}=3655\), इसलिए (n=85)। सही (n) पाने के लिए सूत्र का उपयोग करें।

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पहले (95) प्राकृतिक संख्याओं का योग क्या होगा?

What will be the sum of the first (95) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (4560)

Step 1

Concept

\(S_{95}=\frac{95\cdot96}{2}=4560\). Take half of (96) as (48) and calculate \(95\cdot48\).

Step 2

Why this answer is correct

The correct answer is C. (4560). \(S_{95}=\frac{95\cdot96}{2}=4560\). Take half of (96) as (48) and calculate \(95\cdot48\).

Step 3

Exam Tip

\(S_{95}=\frac{95\cdot96}{2}=4560\)। (96) का आधा (48) लेकर \(95\cdot48\) करें।

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यदि \(S_n=4560\), तो (n) का सही मान क्या है?

If \(S_n=4560\), what is the correct value of (n)?

Explanation opens after your attempt
Correct Answer

C. (95)

Step 1

Concept

\(\frac{95\cdot96}{2}=4560\), so (n=95). Check the answer by substituting options in the formula.

Step 2

Why this answer is correct

The correct answer is C. (95). \(\frac{95\cdot96}{2}=4560\), so (n=95). Check the answer by substituting options in the formula.

Step 3

Exam Tip

\(\frac{95\cdot96}{2}=4560\), इसलिए (n=95)। सूत्र में विकल्प रखकर उत्तर जांचें।

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एक परीक्षा में \(1+2+3+\cdots+95\) का मान पूछा गया। सही उत्तर क्या है?

An exam asked the value of \(1+2+3+\cdots+95\). What is the correct answer?

Explanation opens after your attempt
Correct Answer

C. (4560)

Step 1

Concept

\(S_{95}=\frac{95\cdot96}{2}=4560\). In exams, apply the formula quickly for large sums.

Step 2

Why this answer is correct

The correct answer is C. (4560). \(S_{95}=\frac{95\cdot96}{2}=4560\). In exams, apply the formula quickly for large sums.

Step 3

Exam Tip

\(S_{95}=\frac{95\cdot96}{2}=4560\)। परीक्षा में बड़े योग के लिए सूत्र तुरंत लगाएं।

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FAQs

Class 9 Mathematics Quiz FAQs

How many questions are in this quiz?

This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 40 seconds per question for Easy difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.