Class 10 675 MCQ Questions

Question 1/1 Medium Mathematics Real Numbers 3: Prime factorisation Class 10 Level 12

कौन सा विकल्प (675) का सही अभाज्य गुणनखंडन है?

Which option is the correct prime factorisation of (675)?

Explanation opens after your attempt

Correct Answer

B. \(3^3 \times 5^2\)

Step 1

Concept

Write (675) as \(27 \times 25\).

Step 2

Why this answer is correct

\(27=3^3\) and \(25=5^2\), so \(675=3^3 \times 5^2\).

Step 3

Exam Tip

Splitting a number into familiar squares and cubes is a good method. चरण 1: (675) को \(27 \times 25\) लिखें। चरण 2: \(27=3^3\) और \(25=5^2\), इसलिए \(675=3^3 \times 5^2\)। चरण 3: संख्या को आसान वर्ग और घन में तोड़ना अच्छा तरीका है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Real Numbers
Topic: 3: Prime factorisation
Difficulty: Medium
Level: 12

Question Hindi:
कौन सा विकल्प (675) का सही अभाज्य गुणनखंडन है?

Question English:
Which option is the correct prime factorisation of (675)?

Options:
A. (3^2 \times 5^2)
B. (3^3 \times 5^2)
C. (3^2 \times 5^3)
D. (3^3 \times 5)

Correct Answer:
B. (3^3 \times 5^2)

Explanation Hindi:
चरण 1: (675) को (27 \times 25) लिखें। चरण 2: (27=3^3) और (25=5^2), इसलिए (675=3^3 \times 5^2)। चरण 3: संख्या को आसान वर्ग और घन में तोड़ना अच्छा तरीका है।

Explanation English:
Step 1: Write (675) as (27 \times 25). Step 2: (27=3^3) and (25=5^2), so (675=3^3 \times 5^2). Step 3: Splitting a number into familiar squares and cubes is a good method.

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675 MCQ Questions for Class 10

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कौन सा विकल्प (675) का सही अभाज्य गुणनखंडन है?

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675 MCQ Questions for Class 10

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कौन सा विकल्प (675) का सही अभाज्य गुणनखंडन है?

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