Concept-wise Practice

integer points MCQ Questions for Class 11

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

Practice Questions

10 questions tagged with integer points.

हल-क्षेत्र \(x\geq 1\), \(y\geq 1\), \(x+y\leq 5\) में पूर्णांक निर्देशांक वाले कितने बिंदु हैं?

How many points with integer coordinates are in the region \(x\geq 1\), \(y\geq 1\), and \(x+y\leq 5\)?

Explanation opens after your attempt
Correct Answer

A. (10)

Step 1

Concept

For (x=1,2,3,4), the possible counts are (4,3,2,1). Hence the total is (10) points.

Step 2

Why this answer is correct

The correct answer is A. (10). For (x=1,2,3,4), the possible counts are (4,3,2,1). Hence the total is (10) points.

Step 3

Exam Tip

(x=1,2,3,4) के लिए क्रमशः (4,3,2,1) मान मिलते हैं। इसलिए कुल (10) बिंदु हैं।

Open Question Page
Ask Friends

हल-क्षेत्र \(x\geq 0\), \(y\geq 0\), \(x+y\leq 4\) में पूर्णांक निर्देशांक वाले कितने बिंदु हैं?

How many points with integer coordinates are in the region \(x\geq 0\), \(y\geq 0\), \(x+y\leq 4\)?

Explanation opens after your attempt
Correct Answer

B. (15)

Step 1

Concept

For (x=0) to (4), the numbers of possible (y)-values are (5,4,3,2,1). The total is (15) integer points.

Step 2

Why this answer is correct

The correct answer is B. (15). For (x=0) to (4), the numbers of possible (y)-values are (5,4,3,2,1). The total is (15) integer points.

Step 3

Exam Tip

(x=0) से (4) तक क्रमशः (5,4,3,2,1) मान मिलते हैं। कुल (15) पूर्णांक बिंदु हैं।

Open Question Page
Ask Friends

यदि \( x\in\mathbb{Z} \) और \( |x-1|\le 3 \) है, तो संख्या रेखा पर कौन से पूर्णांक बिंदु चिन्हित होंगे?

If \( x\in\mathbb{Z} \) and \( |x-1|\le 3 \), which integer points will be marked on the number line?

Explanation opens after your attempt
Correct Answer

A. ( -2,-1,0,1,2,3,4 )

Step 1

Concept

\( |x-1|\le 3 \) gives \( -2\le x\le 4 \). For integer solutions, take all integer points in this interval.

Step 2

Why this answer is correct

The correct answer is A. ( -2,-1,0,1,2,3,4 ). \( |x-1|\le 3 \) gives \( -2\le x\le 4 \). For integer solutions, take all integer points in this interval.

Step 3

Exam Tip

\( |x-1|\le 3 \) से \( -2\le x\le 4 \) मिलता है। पूर्णांक समाधान में इसी अंतराल के सभी पूर्णांक बिंदु लें।

Open Question Page
Ask Friends

यदि \(x\in\mathbb{Z}\) और \(-\frac{17}{4}<x\le\frac{7}{3}\), तो संख्या रेखा पर कौन-से पूर्णांक बिंदु मिलेंगे?

If \(x\in\mathbb{Z}\) and \(-\frac{17}{4}<x\le\frac{7}{3}\), which integer points will appear on the number line?

Explanation opens after your attempt
Correct Answer

A. ({-4,-3,-2,-1,0,1,2})

Step 1

Concept

The first integer greater than \(-\frac{17}{4}\) is (-4), and the last integer up to \(\frac{7}{3}\) is (2). In exams, choose valid integers carefully at fractional boundaries.

Step 2

Why this answer is correct

The correct answer is A. ({-4,-3,-2,-1,0,1,2}). The first integer greater than \(-\frac{17}{4}\) is (-4), and the last integer up to \(\frac{7}{3}\) is (2). In exams, choose valid integers carefully at fractional boundaries.

Step 3

Exam Tip

\(-\frac{17}{4}\) से बड़ा पहला पूर्णांक (-4) है और \(\frac{7}{3}\) तक अंतिम पूर्णांक (2) है। परीक्षा में fractional boundary पर valid integer ध्यान से चुनें।

Open Question Page
Ask Friends

यदि \(x\in\mathbb{Z}\) और \(-\frac{11}{3}\le x<\frac{9}{2}\), तो संख्या रेखा पर कौन-से पूर्णांक बिंदु मिलेंगे?

If \(x\in\mathbb{Z}\) and \(-\frac{11}{3}\le x<\frac{9}{2}\), which integer points will appear on the number line?

Explanation opens after your attempt
Correct Answer

B. ({-3,-2,-1,0,1,2,3,4})

Step 1

Concept

The first integer greater than or equal to \(-\frac{11}{3}\) is (-3), and the last integer less than \(\frac{9}{2}\) is (4). In exams, choose valid integers separately at fractional boundaries.

Step 2

Why this answer is correct

The correct answer is B. ({-3,-2,-1,0,1,2,3,4}). The first integer greater than or equal to \(-\frac{11}{3}\) is (-3), and the last integer less than \(\frac{9}{2}\) is (4). In exams, choose valid integers separately at fractional boundaries.

Step 3

Exam Tip

\(-\frac{11}{3}\) से बड़ा या बराबर पहला पूर्णांक (-3) है और \(\frac{9}{2}\) से छोटा अंतिम पूर्णांक (4) है। परीक्षा में fractional boundary पर valid integer अलग से चुनें।

Open Question Page
Ask Friends

यदि \(x\in\mathbb{Z}\) और (|x-1|<4), तो संख्या रेखा पर कौन-सा समुच्चय बनेगा?

If \(x\in\mathbb{Z}\) and (|x-1|<4), which set will appear on the number line?

Explanation opens after your attempt
Correct Answer

A. ({-2,-1,0,1,2,3,4})

Step 1

Concept

(|x-1|<4) gives (-3<x<5), so integers go from (-2) to (4). In exams, do not include strict boundaries.

Step 2

Why this answer is correct

The correct answer is A. ({-2,-1,0,1,2,3,4}). (|x-1|<4) gives (-3<x<5), so integers go from (-2) to (4). In exams, do not include strict boundaries.

Step 3

Exam Tip

(|x-1|<4) से (-3<x<5), इसलिए पूर्णांक (-2) से (4) तक हैं। परीक्षा में strict boundary को शामिल न करें।

Open Question Page
Ask Friends

यदि \(x\in\mathbb{Z}\) और \(-\frac{9}{2}<x\le \frac{5}{2}\), तो संख्या रेखा पर कौन-से पूर्णांक बिंदु मिलेंगे?

If \(x\in\mathbb{Z}\) and \(-\frac{9}{2}<x\le \frac{5}{2}\), which integer points will appear on the number line?

Explanation opens after your attempt
Correct Answer

A. ({-4,-3,-2,-1,0,1,2})

Step 1

Concept

Integers greater than \(-\frac{9}{2}\) start at (-4), and (2) is the last integer up to \(\frac{5}{2}\). In exams, choose the nearest valid integer at fractional boundaries.

Step 2

Why this answer is correct

The correct answer is A. ({-4,-3,-2,-1,0,1,2}). Integers greater than \(-\frac{9}{2}\) start at (-4), and (2) is the last integer up to \(\frac{5}{2}\). In exams, choose the nearest valid integer at fractional boundaries.

Step 3

Exam Tip

\(-\frac{9}{2}\) से बड़े पूर्णांक (-4) से शुरू होते हैं और \(\frac{5}{2}\) तक (2) अंतिम पूर्णांक है। परीक्षा में fractional boundary पर nearest valid integer चुनें।

Open Question Page
Ask Friends

यदि \(x\in\mathbb{Z}\) और \(|x|\le 3\), तो संख्या रेखा पर कितने points marked होंगे?

If \(x\in\mathbb{Z}\) and \(|x|\le 3\), how many points will be marked on the number line?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The points are (-3,-2,-1,0,1,2,3), so there are (7) points. In exams, include both endpoints while counting integers.

Step 2

Why this answer is correct

The correct answer is C. (7). The points are (-3,-2,-1,0,1,2,3), so there are (7) points. In exams, include both endpoints while counting integers.

Step 3

Exam Tip

Points (-3,-2,-1,0,1,2,3) हैं, इसलिए कुल (7) हैं। परीक्षा में integers को गिनते समय दोनों endpoints शामिल करें।

Open Question Page
Ask Friends

संख्या रेखा पर केवल पूर्णांक बिंदु चिह्नित करने हैं जो \(-2<x\le 3\) को संतुष्ट करते हैं। सही बिंदुओं का समूह कौन-सा है?

Only integer points satisfying \(-2<x\le 3\) are to be marked on the number line. Which set of points is correct?

Explanation opens after your attempt
Correct Answer

D. ({-1,0,1,2,3})

Step 1

Concept

The value (-2) is excluded but (3) is included so the integers are from (-1) to (3). In exams choose integer points according to open and closed endpoints.

Step 2

Why this answer is correct

The correct answer is D. ({-1,0,1,2,3}). The value (-2) is excluded but (3) is included so the integers are from (-1) to (3). In exams choose integer points according to open and closed endpoints.

Step 3

Exam Tip

(-2) शामिल नहीं है लेकिन (3) शामिल है इसलिए पूर्णांक (-1) से (3) तक होंगे। परीक्षा में खुले और बंद endpoints के अनुसार integer points चुनें।

Open Question Page
Ask Friends

अंतराल ([0,4)) में कौन सा पूर्णांक शामिल नहीं है?

Which integer is not included in the interval ([0,4))?

Explanation opens after your attempt
Correct Answer

D. (4)

Step 1

Concept

In ([0,4)), (0) is included but (4) is not included. In exams, exclude the endpoint with an open bracket.

Step 2

Why this answer is correct

The correct answer is D. (4). In ([0,4)), (0) is included but (4) is not included. In exams, exclude the endpoint with an open bracket.

Step 3

Exam Tip

([0,4)) में (0) शामिल है लेकिन (4) शामिल नहीं है। परीक्षा में अंतिम कोष्ठक खुले होने पर अंतिम संख्या हटाएँ।

Open Question Page
Ask Friends
Student Class Required

Select your class first

Quiz questions, daily challenge and practice pages will open according to your selected class. Class 11/12 ke liye stream bhi select karein.