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10 results found for "lights" in Class 10.

Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक मंच सजावट में पहली पंक्ति में (96) लाइटें हैं और हर अगली पंक्ति में (4) लाइटें कम हैं। (18) पंक्तियों में कुल कितनी लाइटें होंगी?

In a stage decoration the first row has (96) lights and each next row has (4) fewer lights. How many lights are there in (18) rows?

Explanation opens after your attempt
Correct Answer

C. (1116)

Step 1

Concept

The lights form the decreasing AP \(96,92,88,\ldots\) and \(S_{18}=1116\). Exam tip: in decreasing rows the common difference is negative.

Step 2

Why this answer is correct

The correct answer is C. (1116). The lights form the decreasing AP \(96,92,88,\ldots\) and \(S_{18}=1116\). Exam tip: in decreasing rows the common difference is negative.

Step 3

Exam Tip

लाइटें \(96,92,88,\ldots\) घटती समान्तर श्रेणी हैं और \(S_{18}=1116\)। परीक्षा में घटती पंक्ति में सार्व अंतर ऋणात्मक होता है।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक त्योहार सजावट में पहले द्वार पर (90) लाइटें हैं और हर अगले द्वार पर (25) लाइटें अधिक हैं। (10) द्वारों पर कुल कितनी लाइटें होंगी?

In a festival decoration the first gate has (90) lights and each next gate has (25) more lights. How many lights are there on (10) gates?

Explanation opens after your attempt
Correct Answer

A. (2025)

Step 1

Concept

The light numbers are \(90,115,140,\ldots\) and \(S_{10}=2025\). Exam tip: treat each gate as one term.

Step 2

Why this answer is correct

The correct answer is A. (2025). The light numbers are \(90,115,140,\ldots\) and \(S_{10}=2025\). Exam tip: treat each gate as one term.

Step 3

Exam Tip

लाइटों की संख्या \(90,115,140,\ldots\) है और \(S_{10}=2025\)। परीक्षा में प्रत्येक द्वार को एक पद मानें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक त्योहार सजावट में पहले गेट पर (80) लाइटें हैं और हर अगले गेट पर (20) लाइटें अधिक हैं। (9) गेटों पर कुल कितनी लाइटें होंगी?

In a festival decoration the first gate has (80) lights and each next gate has (20) more lights. How many lights are there on (9) gates?

Explanation opens after your attempt
Correct Answer

C. (1440)

Step 1

Concept

The light numbers are \(80,100,120,\ldots\) and \(S_9=1440\). Exam tip: treat each gate as one term.

Step 2

Why this answer is correct

The correct answer is C. (1440). The light numbers are \(80,100,120,\ldots\) and \(S_9=1440\). Exam tip: treat each gate as one term.

Step 3

Exam Tip

लाइटों की संख्या \(80,100,120,\ldots\) है और \(S_9=1440\)। परीक्षा में प्रत्येक गेट को एक पद मानें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक त्योहार सजावट में पहले गेट पर (60) लाइटें हैं और हर अगले गेट पर (15) लाइटें अधिक हैं। (8) गेटों पर कुल कितनी लाइटें होंगी?

In a festival decoration the first gate has (60) lights and each next gate has (15) more lights. How many lights are there on (8) gates?

Explanation opens after your attempt
Correct Answer

A. (900)

Step 1

Concept

The light numbers are \(60,75,90,\ldots\) and \(S_8=900\). Exam tip: treat each gate as one term.

Step 2

Why this answer is correct

The correct answer is A. (900). The light numbers are \(60,75,90,\ldots\) and \(S_8=900\). Exam tip: treat each gate as one term.

Step 3

Exam Tip

लाइटों की संख्या \(60,75,90,\ldots\) है और \(S_8=900\)। परीक्षा में प्रत्येक गेट को एक पद मानें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक त्योहार सजावट में पहले गेट पर (48) लाइटें हैं और हर अगले गेट पर (12) लाइटें अधिक हैं। (9) गेटों पर कुल कितनी लाइटें होंगी?

In a festival decoration the first gate has (48) lights and each next gate has (12) more lights. How many lights are there on (9) gates?

Explanation opens after your attempt
Correct Answer

C. (864)

Step 1

Concept

The light numbers are \(48,60,72,\ldots\) and \(S_9=864\). Exam tip: treat each gate as one term.

Step 2

Why this answer is correct

The correct answer is C. (864). The light numbers are \(48,60,72,\ldots\) and \(S_9=864\). Exam tip: treat each gate as one term.

Step 3

Exam Tip

लाइटों की संख्या \(48,60,72,\ldots\) है और \(S_9=864\)। परीक्षा में प्रत्येक गेट को एक पद मानें।

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Question Medium Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक त्योहार सजावट में पहले गेट पर (36) लाइटें हैं और हर अगले गेट पर (6) लाइटें अधिक हैं। (10) गेटों पर कुल कितनी लाइटें होंगी?

In a festival decoration the first gate has (36) lights and each next gate has (6) more lights. How many lights are there on (10) gates?

Explanation opens after your attempt
Correct Answer

B. (630)

Step 1

Concept

The light numbers are \(36,42,48,\ldots\) and \(S_{10}=630\). Exam tip: treat each gate as one term.

Step 2

Why this answer is correct

The correct answer is B. (630). The light numbers are \(36,42,48,\ldots\) and \(S_{10}=630\). Exam tip: treat each gate as one term.

Step 3

Exam Tip

लाइटों की संख्या \(36,42,48,\ldots\) है और \(S_{10}=630\)। परीक्षा में प्रत्येक गेट को एक पद मानें।

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Question Medium Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक त्योहार सजावट में पहले गेट पर (28) लाइटें हैं और हर अगले गेट पर (7) लाइटें अधिक हैं। (9) गेटों पर कुल कितनी लाइटें होंगी?

In a festival decoration the first gate has (28) lights and each next gate has (7) more lights. How many lights are there on (9) gates?

Explanation opens after your attempt
Correct Answer

A. (504)

Step 1

Concept

The light numbers are \(28,35,42,\ldots\) and \(S_9=504\). Exam tip: treat each gate as one term.

Step 2

Why this answer is correct

The correct answer is A. (504). The light numbers are \(28,35,42,\ldots\) and \(S_9=504\). Exam tip: treat each gate as one term.

Step 3

Exam Tip

लाइटों की संख्या \(28,35,42,\ldots\) है और \(S_9=504\)। परीक्षा में प्रत्येक गेट को एक पद मानें।

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Question Medium Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक त्योहार सजावट में पहले गेट पर (30) लाइटें हैं और हर अगले गेट पर (5) लाइटें अधिक हैं। (8) गेटों पर कुल कितनी लाइटें होंगी?

In a festival decoration the first gate has (30) lights and each next gate has (5) more lights. How many lights are there on (8) gates?

Explanation opens after your attempt
Correct Answer

B. (380)

Step 1

Concept

The light numbers are \(30,35,40,\ldots\) and \(S_8=380\). Exam tip: treat each gate as one term.

Step 2

Why this answer is correct

The correct answer is B. (380). The light numbers are \(30,35,40,\ldots\) and \(S_8=380\). Exam tip: treat each gate as one term.

Step 3

Exam Tip

लाइटों की संख्या \(30,35,40,\ldots\) है और \(S_8=380\)। परीक्षा में प्रत्येक गेट को एक पद मानें।

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Question Hard Mathematics Real Numbers HCF and LCM using prime factorisation Class 10 Level 12

चार संकेत दीपक क्रमशः (12), (18), (27) और (36) सेकंड के अंतराल पर चमकते हैं। वे अभी साथ चमके हैं। वे फिर कितने सेकंड बाद साथ चमकेंगे?

Four signal lights flash at intervals of (12), (18), (27), and (36) seconds. They flash together now. After how many seconds will they flash together again?

Explanation opens after your attempt
Correct Answer

A. (108)

Step 1

Concept

The next common flashing time is the LCM of all intervals.

Step 2

Why this answer is correct

\(12=2^2\times3\), \(18=2\times3^2\), \(27=3^3\), and \(36=2^2\times3^2\), so LCM \(=2^2\times3^3=108\).

Step 3

Exam Tip

Use LCM for repeated-time situations. चरण 1: साथ में दोबारा होने वाला समय सभी अंतरालों का लघुत्तम समापवर्त्य होता है। चरण 2: \(12=2^2\times3\), \(18=2\times3^2\), \(27=3^3\), \(36=2^2\times3^2\), इसलिए लघुत्तम समापवर्त्य \(2^2\times3^3=108\) है। चरण 3: समय के दोहराव में लघुत्तम समापवर्त्य का उपयोग करें।

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Question Easy Mathematics Real Numbers HCF and LCM using prime factorisation Class 10 Level 10

तीन लाइटें (10), (15) और (20) सेकंड के अंतराल पर चमकती हैं। वे फिर कितने सेकंड बाद साथ चमकेंगी?

Three lights flash at intervals of (10), (15), and (20) seconds. After how many seconds will they flash together again?

Explanation opens after your attempt
Correct Answer

B. (60)

Step 1

Concept

The next common flashing time is the LCM of (10), (15), and (20).

Step 2

Why this answer is correct

\(10=2\times5\), \(15=3\times5\), \(20=2^2\times5\).

Step 3

Exam Tip

\(2^2\times3\times5=60\), so the answer is (60) seconds. चरण 1: साथ चमकने का अगला समय (10), (15) और (20) का लघुत्तम समापवर्त्य है। चरण 2: \(10=2\times5\), \(15=3\times5\), \(20=2^2\times5\)। चरण 3: \(2^2\times3\times5=60\), इसलिए उत्तर (60) सेकंड है।

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