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common mistakes MCQ Questions for Class 10

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2 questions tagged with common mistakes.

Question 1/2 Medium Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 20

\(\frac{64}{4000}\) को सरल करने के बाद दशमलव प्रसार कितने स्थानों पर समाप्त होगा?

After simplifying \(\frac{64}{4000}\), after how many decimal places will its decimal expansion terminate?

Explanation opens after your attempt
Correct Answer

C. (3) स्थान(3) places

Step 1

Concept

\(\frac{64}{4000}=\frac{2}{125}\).

Step 2

Why this answer is correct

Since \(125=5^3\), the decimal terminates after (3) places.

Step 3

Exam Tip

Assuming (4) places from (4000) without reducing is a common mistake. चरण 1: \(\frac{64}{4000}=\frac{2}{125}\) है। चरण 2: \(125=5^3\), इसलिए दशमलव (3) स्थानों पर समाप्त होगा। चरण 3: हर (4000) देखकर (4) स्थान मान लेना सामान्य गलती है।

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Question 2/2 Easy Mathematics Real Numbers Proof of irrationality of √2, √3, √5 Class 10 Level 16

\(\sqrt{2}\) के प्रमाण में \(p^2=2q^2\) से सीधे क्या नहीं कहना चाहिए?

In the proof of \(\sqrt{2}\), what should not be said directly from \(p^2=2q^2\)?

Explanation opens after your attempt
Correct Answer

A. (p=q)

Step 1

Concept

From \(p^2=2q^2\), we get that \(p^2\) is even.

Step 2

Why this answer is correct

Then (p) is even and can be written as (p=2k).

Step 3

Exam Tip

Saying (p=q) from this equation is a wrong step. चरण 1: \(p^2=2q^2\) से \(p^2\) सम मिलता है। चरण 2: फिर (p) सम और (p=2k) लिखा जा सकता है। चरण 3: इस समीकरण से (p=q) कहना गलत कदम है।

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