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divisible not divisible MCQ Questions for Class 10

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10 questions tagged with divisible not divisible.

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

चार अंकों वाली उन संख्याओं का योग ज्ञात कीजिए जो (24) से विभाज्य हैं लेकिन (48) से विभाज्य नहीं हैं।

Find the sum of four-digit numbers that are divisible by (24) but not by (48).

Explanation opens after your attempt
Correct Answer

D. (1027752)

Step 1

Concept

Subtracting the sum of multiples of (48) from the sum of multiples of (24) gives (1027752). In but-not cases, subtract the stricter condition.

Step 2

Why this answer is correct

The correct answer is D. (1027752). Subtracting the sum of multiples of (48) from the sum of multiples of (24) gives (1027752). In but-not cases, subtract the stricter condition.

Step 3

Exam Tip

(24) के गुणजों के योग से (48) के गुणजों का योग घटाने पर (1027752) मिलता है। but not में बड़ी शर्त को घटाना होता है।

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

(500) से (2000) तक उन संख्याओं का योग ज्ञात कीजिए जो (18) से विभाज्य हैं लेकिन (30) से विभाज्य नहीं हैं।

Find the sum of numbers from (500) to (2000) that are divisible by (18) but not by (30).

Explanation opens after your attempt
Correct Answer

B. (83664)

Step 1

Concept

Subtracting the sum of multiples of (\operatorname{lcm}(18,30)) from the sum of multiples of (18) gives (83664). In a but-not condition, remove the overlap.

Step 2

Why this answer is correct

The correct answer is B. (83664). Subtracting the sum of multiples of (\operatorname{lcm}(18,30)) from the sum of multiples of (18) gives (83664). In a but-not condition, remove the overlap.

Step 3

Exam Tip

(18) के गुणजों के योग से (\operatorname{lcm}(18,30)) के गुणजों का योग घटाने पर (83664) मिलता है। but not वाली शर्त में overlap हटाएँ।

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Question 3/10 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

(300) से (1200) तक उन सभी संख्याओं का योग ज्ञात कीजिए जो (18) से विभाज्य हैं लेकिन (24) से विभाज्य नहीं हैं।

Find the sum of all numbers from (300) to (1200) that are divisible by (18) but not by (24).

Explanation opens after your attempt
Correct Answer

D. (28278)

Step 1

Concept

Subtracting the sum of multiples of (72) from the sum of multiples of (18) gives (28278). Use the least common multiple to remove overlap.

Step 2

Why this answer is correct

The correct answer is D. (28278). Subtracting the sum of multiples of (72) from the sum of multiples of (18) gives (28278). Use the least common multiple to remove overlap.

Step 3

Exam Tip

(18) के गुणजों के योग से (72) के गुणजों का योग घटाने पर (28278) मिलता है। overlap हटाने के लिए लघुत्तम समापवर्त्य लें।

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

(100) से (1000) तक उन सभी संख्याओं का योग ज्ञात कीजिए जो (10) से विभाज्य हैं लेकिन (25) से विभाज्य नहीं हैं।

Find the sum of all numbers from (100) to (1000) that are divisible by (10) but not by (25).

Explanation opens after your attempt
Correct Answer

A. (39600)

Step 1

Concept

Subtracting the sum of multiples of (50) from the sum of multiples of (10) gives (39600). Remove the common multiples of both conditions.

Step 2

Why this answer is correct

The correct answer is A. (39600). Subtracting the sum of multiples of (50) from the sum of multiples of (10) gives (39600). Remove the common multiples of both conditions.

Step 3

Exam Tip

(10) के गुणजों के योग से (50) के गुणजों का योग घटाने पर (39600) मिलता है। दोनों शर्तों के साझा गुणजों को हटाएँ।

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

तीन अंकों वाली उन संख्याओं का योग ज्ञात कीजिए जो (21) से विभाज्य हैं लेकिन (42) से विभाज्य नहीं हैं।

Find the sum of all three-digit numbers that are divisible by (21) but not by (42).

Explanation opens after your attempt
Correct Answer

D. (12012)

Step 1

Concept

The numbers are \(105,147,\ldots,987\), and their sum is (12012). In this condition, the new AP has common difference (42).

Step 2

Why this answer is correct

The correct answer is D. (12012). The numbers are \(105,147,\ldots,987\), and their sum is (12012). In this condition, the new AP has common difference (42).

Step 3

Exam Tip

संख्याएँ \(105,147,\ldots,987\) हैं और उनका योग (12012) है। ऐसी शर्त में नई श्रेढ़ी का अंतर (42) हो जाता है।

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Question 6/10 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

(250) से (1000) तक उन सभी संख्याओं का योग ज्ञात कीजिए जो (12) से विभाज्य हैं लेकिन (18) से विभाज्य नहीं हैं।

Find the sum of all numbers from (250) to (1000) that are divisible by (12) but not by (18).

Explanation opens after your attempt
Correct Answer

A. (26460)

Step 1

Concept

Subtracting the sum of multiples of (36) from the sum of multiples of (12) gives (26460). Use the least common multiple to remove overlap.

Step 2

Why this answer is correct

The correct answer is A. (26460). Subtracting the sum of multiples of (36) from the sum of multiples of (12) gives (26460). Use the least common multiple to remove overlap.

Step 3

Exam Tip

(12) के गुणजों के योग से (36) के गुणजों का योग घटाने पर (26460) मिलता है। overlap हटाने के लिए लघुत्तम समापवर्त्य लें।

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Question 7/10 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

(100) से (900) तक उन सभी संख्याओं का योग ज्ञात कीजिए जो (8) से विभाज्य हैं लेकिन (24) से विभाज्य नहीं हैं।

Find the sum of all numbers from (100) to (900) that are divisible by (8) but not by (24).

Explanation opens after your attempt
Correct Answer

C. (33368)

Step 1

Concept

Subtracting the sum of multiples of (24) from the sum of multiples of (8) gives (33368). In a but-not condition, subtract the complement.

Step 2

Why this answer is correct

The correct answer is C. (33368). Subtracting the sum of multiples of (24) from the sum of multiples of (8) gives (33368). In a but-not condition, subtract the complement.

Step 3

Exam Tip

(8) के गुणजों के योग से (24) के गुणजों का योग घटाने पर (33368) मिलता है। but not वाली शर्त में पूरक घटाएँ।

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Question 8/10 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

तीन अंकों वाली उन संख्याओं का योग ज्ञात कीजिए जो (15) से विभाज्य हैं लेकिन (30) से विभाज्य नहीं हैं।

Find the sum of all three-digit numbers that are divisible by (15) but not by (30).

Explanation opens after your attempt
Correct Answer

B. (16200)

Step 1

Concept

The numbers are \(105,135,\ldots,975\), and their sum is (16200). In this condition, the new AP has common difference (30).

Step 2

Why this answer is correct

The correct answer is B. (16200). The numbers are \(105,135,\ldots,975\), and their sum is (16200). In this condition, the new AP has common difference (30).

Step 3

Exam Tip

संख्याएँ \(105,135,\ldots,975\) हैं और उनका योग (16200) है। ऐसी शर्त में नई श्रेढ़ी का अंतर (30) हो जाता है।

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Question 9/10 Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

(200) से (500) तक उन सभी संख्याओं का योग ज्ञात कीजिए जो (8) से विभाज्य हैं लेकिन (16) से विभाज्य नहीं हैं।

Find the sum of all numbers from (200) to (500) that are divisible by (8) but not by (16).

Explanation opens after your attempt
Correct Answer

B. (6536)

Step 1

Concept

The numbers are \(200,216,\ldots,488\), and their sum is (6536). A but-not condition often forms a new AP.

Step 2

Why this answer is correct

The correct answer is B. (6536). The numbers are \(200,216,\ldots,488\), and their sum is (6536). A but-not condition often forms a new AP.

Step 3

Exam Tip

संख्याएँ \(200,216,\ldots,488\) हैं और उनका योग (6536) है। but not वाली शर्त से अक्सर नई AP बनती है।

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

तीन अंकों वाली उन संख्याओं का योग ज्ञात कीजिए जो (6) से विभाज्य हैं लेकिन (12) से विभाज्य नहीं हैं।

Find the sum of all three-digit numbers that are divisible by (6) but not by (12).

Explanation opens after your attempt
Correct Answer

C. (40950)

Step 1

Concept

The numbers are \(102,114,\ldots,990\), and their sum is (40950). In such a condition, a new AP with common difference (12) is formed.

Step 2

Why this answer is correct

The correct answer is C. (40950). The numbers are \(102,114,\ldots,990\), and their sum is (40950). In such a condition, a new AP with common difference (12) is formed.

Step 3

Exam Tip

संख्याएँ \(102,114,\ldots,990\) हैं और उनका योग (40950) है। ऐसी शर्त में (12) के अंतर वाली नई श्रेढ़ी बनती है।

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