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integer-values MCQ Questions for Class 11

integer-values se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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2 questions tagged with integer-values.

Question 1/2 Medium Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

यदि \(x\in \mathbb{Z}\) और \(2\le x<7\) है तो (x) के कितने पूर्णांक मान हैं?

If \(x\in \mathbb{Z}\) and \(2\le x<7\), how many integer values of (x) are there?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

The possible values are (2,3,4,5,6), so there are (5) integers. Check closed and open endpoints separately.

Step 2

Why this answer is correct

The correct answer is B. (5). The possible values are (2,3,4,5,6), so there are (5) integers. Check closed and open endpoints separately.

Step 3

Exam Tip

संभव मान (2,3,4,5,6) हैं इसलिए कुल (5) पूर्णांक हैं। बंद और खुली सीमा को अलग-अलग जाँचें।

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Question 2/2 Medium Mathematics Sets The Empty Set, Finite and Infinite Sets, Equal Sets Class 11 Level 4

यदि \(A={x:x\in\mathbb{Z},x^2<4}\), तो (A) कौन सा है?

If \(A={x:x\in\mathbb{Z},x^2<4}\), which set is (A)?

Explanation opens after your attempt
Correct Answer

B. ({-1,0,1})

Step 1

Concept

Check integer values for \(x^2<4\).

Step 2

Why this answer is correct

Squares of (-1,0,1) are less than (4), but squares of (-2) and (2) equal (4).

Step 3

Exam Tip

Strict inequality does not include equal values. चरण 1: \(x^2<4\) के लिए पूर्णांक मान जाँचें। चरण 2: (-1,0,1) के वर्ग (4) से छोटे हैं, पर (-2) और (2) के वर्ग बराबर (4) हैं। चरण 3: सख्त असमानता में बराबर मान शामिल नहीं होता।

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