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4 results found for "990" in Class 10.

Question Expert Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 7

किस विकल्प में (990) का सही अभाज्य गुणनखंडन है?

Which option gives the correct prime factorisation of (990)?

Explanation opens after your attempt
Correct Answer

A. \(2\times3^2\times5\times11\)

Step 1

Concept

Write \(990=99\times10\).

Step 2

Why this answer is correct

\(99=3^2\times11\) and \(10=2\times5\), so \(990=2\times3^2\times5\times11\).

Step 3

Exam Tip

Split the number into easy parts for faster factorisation. चरण 1: \(990=99\times10\) लिखा जा सकता है। चरण 2: \(99=3^2\times11\) और \(10=2\times5\), इसलिए \(990=2\times3^2\times5\times11\)। चरण 3: संख्या को आसान भागों में तोड़ना तेज तरीका है।

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Question Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 7

किस संख्या का अभाज्य गुणनखंडन \(2^2\times3^2\times5\times11\) है?

Which number has prime factorisation \(2^2\times3^2\times5\times11\)?

Explanation opens after your attempt
Correct Answer

A. 1980

Step 1

Concept

Calculate \(2^2=4\) and \(3^2=9\).

Step 2

Why this answer is correct

\(4\times9\times5\times11=1980\).

Step 3

Exam Tip

Simplifying powers first gives the answer quickly. चरण 1: \(2^2=4\) और \(3^2=9\) निकालें। चरण 2: \(4\times9\times5\times11=1980\)। चरण 3: घातों को पहले सरल करने से उत्तर जल्दी मिलता है।

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Question Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 4

(1000) को (33) से भाग देने पर भागफल क्या होगा?

What is the quotient when (1000) is divided by (33)?

Explanation opens after your attempt
Correct Answer

B. (30)

Step 1

Concept

\(33 \times 30=990\) and \(33 \times 31=1023\).

Step 2

Why this answer is correct

Since (1023) is greater, the quotient is (30).

Step 3

Exam Tip

The quotient is the greatest integer whose product with the divisor does not exceed the dividend. चरण 1: \(33 \times 30=990\) और \(33 \times 31=1023\) है। चरण 2: (1023) बड़ा है, इसलिए भागफल (30) होगा। चरण 3: भागफल वह सबसे बड़ा पूर्णांक है जिससे गुणनफल भाज्य से अधिक न हो।

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Question Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 4

(1000) को (33) से भाग देने पर शेषफल क्या होगा?

What is the remainder when (1000) is divided by (33)?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

\(33 \times 30=990\).

Step 2

Why this answer is correct

(1000-990=10), so the remainder is (10).

Step 3

Exam Tip

For a large dividend, finding a nearby multiple saves time. चरण 1: \(33 \times 30=990\) है। चरण 2: (1000-990=10), इसलिए शेषफल (10) है। चरण 3: बड़े भाज्य में निकट गुणज खोजकर समय बचाया जा सकता है।

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