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Mathematics Quiz - Class 11 Mathematics Easy Level 52 Quiz

Question 1/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता \(x+y\leq 6\) के आलेख में सीमा रेखा कैसी खींची जाती है?

How is the boundary line drawn for the inequality \(x+y\leq 6\)?

Explanation opens after your attempt

Correct Answer

A. ठोस रेखाSolid line

Step 1

Concept

For \(\leq\), the boundary line is included in the solution. In exams, first check the boundary line type.

Step 2

Why this answer is correct

The correct answer is A. ठोस रेखा / Solid line. For \(\leq\), the boundary line is included in the solution. In exams, first check the boundary line type.

Step 3

Exam Tip

चिह्न \(\leq\) होने पर सीमा रेखा भी हल में आती है। परीक्षा में पहले सीमा रेखा का प्रकार देखें।

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Question 2/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक छात्र के पास (4) कमीज़ और (3) पैंट हैं। वह एक कमीज़ और एक पैंट कितने तरीकों से चुन सकता है?

A student has (4) shirts and (3) trousers. In how many ways can he choose one shirt and one trouser?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

By the multiplication principle total ways are \(4\times3=12\). In exams, “and” usually indicates multiplication.

Step 2

Why this answer is correct

The correct answer is C. (12). By the multiplication principle total ways are \(4\times3=12\). In exams, “and” usually indicates multiplication.

Step 3

Exam Tip

गुणन सिद्धांत से कुल तरीके \(4\times3=12\) हैं। परीक्षा में “और” आने पर सामान्यतः गुणा करें।

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Question 3/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता (2x-y<4) के आलेख में सीमा रेखा कैसी होगी?

What type of boundary line is used for (2x-y<4)?

Explanation opens after your attempt

Correct Answer

B. टूटी हुई रेखाDashed line

Step 1

Concept

For (<), the boundary line is not included. Hence, a dashed line is used.

Step 2

Why this answer is correct

The correct answer is B. टूटी हुई रेखा / Dashed line. For (<), the boundary line is not included. Hence, a dashed line is used.

Step 3

Exam Tip

चिह्न (<) होने पर सीमा रेखा हल में शामिल नहीं होती। इसलिए टूटी हुई रेखा बनती है।

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Question 4/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक मेन्यू में (5) नाश्ते और (4) पेय हैं। एक नाश्ता और एक पेय चुनने के कितने तरीके हैं?

A menu has (5) snacks and (4) drinks. In how many ways can one snack and one drink be chosen?

Explanation opens after your attempt

Correct Answer

A. (20)

Step 1

Concept

Total ways are \(5\times4=20\). Remember to multiply independent choices.

Step 2

Why this answer is correct

The correct answer is A. (20). Total ways are \(5\times4=20\). Remember to multiply independent choices.

Step 3

Exam Tip

कुल तरीके \(5\times4=20\) होंगे। स्वतंत्र चुनावों को गुणा करना याद रखें।

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Question 5/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता \(y\geq 3\) का हल-क्षेत्र किस ओर होगा?

Which side is the solution region for \(y\geq 3\)?

Explanation opens after your attempt

Correct Answer

A. रेखा के ऊपरAbove the line

Step 1

Concept

In \(y\geq 3\), (y) is (3) or more. So the region lies above the line.

Step 2

Why this answer is correct

The correct answer is A. रेखा के ऊपर / Above the line. In \(y\geq 3\), (y) is (3) or more. So the region lies above the line.

Step 3

Exam Tip

\(y\geq 3\) में (y) का मान (3) या उससे अधिक है। इसलिए क्षेत्र रेखा के ऊपर होता है।

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Question 6/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक दुकान में (6) प्रकार की पेंसिल और (2) प्रकार की कॉपी हैं। एक पेंसिल और एक कॉपी कितने तरीकों से खरीदी जा सकती है?

A shop has (6) types of pencils and (2) types of notebooks. In how many ways can one pencil and one notebook be bought?

Explanation opens after your attempt

Correct Answer

D. (12)

Step 1

Concept

There are two independent choices so \(6\times2=12\). Multiply the ways when steps are separate.

Step 2

Why this answer is correct

The correct answer is D. (12). There are two independent choices so \(6\times2=12\). Multiply the ways when steps are separate.

Step 3

Exam Tip

दो स्वतंत्र चुनाव हैं इसलिए \(6\times2=12\)। चरण अलग हों तो उनके तरीकों को गुणा करें।

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Question 7/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता (y< -2) का हल-क्षेत्र कहाँ होगा?

Where is the solution region for (y< -2)?

Explanation opens after your attempt

Correct Answer

B. रेखा के नीचेBelow the line

Step 1

Concept

In (y< -2), (y) is less than (-2). Therefore, the solution region is below the line.

Step 2

Why this answer is correct

The correct answer is B. रेखा के नीचे / Below the line. In (y< -2), (y) is less than (-2). Therefore, the solution region is below the line.

Step 3

Exam Tip

(y< -2) में (y) का मान (-2) से कम है। इसलिए हल-क्षेत्र रेखा के नीचे होता है।

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Question 8/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक विद्यार्थी (3) विषयों में से एक और (5) खेलों में से एक चुनता है। कुल चयन कितने होंगे?

A student chooses one subject from (3) subjects and one game from (5) games. How many total selections are possible?

Explanation opens after your attempt

Correct Answer

B. (15)

Step 1

Concept

Total selections are \(3\times5=15\). In one-each selection, identify the number of stages.

Step 2

Why this answer is correct

The correct answer is B. (15). Total selections are \(3\times5=15\). In one-each selection, identify the number of stages.

Step 3

Exam Tip

कुल चयन \(3\times5=15\) हैं। “एक-एक” चयन में चरणों की संख्या पहचानें।

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Question 9/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता \(x\leq 5\) का हल-क्षेत्र सीमा रेखा के किस ओर होगा?

For \(x\leq 5\), on which side of the boundary line is the solution region?

Explanation opens after your attempt

Correct Answer

B. बाईं ओरLeft side

Step 1

Concept

In \(x\leq 5\), (x) is (5) or less. So the region is on the left side.

Step 2

Why this answer is correct

The correct answer is B. बाईं ओर / Left side. In \(x\leq 5\), (x) is (5) or less. So the region is on the left side.

Step 3

Exam Tip

\(x\leq 5\) में (x) का मान (5) या उससे कम है। इसलिए क्षेत्र बाईं ओर होगा।

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Question 10/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक मोबाइल लॉक में पहला अंक (1) से (5) तक और दूसरा अंक (0) से (9) तक हो सकता है। ऐसे (2) अंकों के कोड कितने होंगे?

In a mobile lock, the first digit can be from (1) to (5) and the second digit can be from (0) to (9). How many such (2)-digit codes are possible?

Explanation opens after your attempt

Correct Answer

C. (50)

Step 1

Concept

The first place has (5) choices and the second has (10), so \(5\times10=50\). Count choices for each position separately.

Step 2

Why this answer is correct

The correct answer is C. (50). The first place has (5) choices and the second has (10), so \(5\times10=50\). Count choices for each position separately.

Step 3

Exam Tip

पहले स्थान के (5) और दूसरे के (10) विकल्प हैं इसलिए \(5\times10=50\)। हर स्थान के विकल्प अलग गिनें।

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Question 11/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता (x> -1) के आलेख में हल-क्षेत्र कहाँ होगा?

Where is the solution region for (x> -1)?

Explanation opens after your attempt

Correct Answer

B. रेखा के दाईं ओरRight of the line

Step 1

Concept

For (x> -1), (x) is greater than (-1). Hence, the solution region is to the right.

Step 2

Why this answer is correct

The correct answer is B. रेखा के दाईं ओर / Right of the line. For (x> -1), (x) is greater than (-1). Hence, the solution region is to the right.

Step 3

Exam Tip

(x> -1) में (x) का मान (-1) से बड़ा है। इसलिए हल-क्षेत्र दाईं ओर होता है।

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Question 12/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

किसी शहर से गाँव जाने के लिए (4) बस मार्ग और (3) ट्रेन मार्ग हैं। केवल एक साधन से यात्रा कितने तरीकों से की जा सकती है?

There are (4) bus routes and (3) train routes from a city to a village. In how many ways can the trip be made using only one mode?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

This is a bus or train choice, so (4+3=7). For mutually exclusive “or” choices, add the ways.

Step 2

Why this answer is correct

The correct answer is B. (7). This is a bus or train choice, so (4+3=7). For mutually exclusive “or” choices, add the ways.

Step 3

Exam Tip

यह बस या ट्रेन का चुनाव है इसलिए (4+3=7)। “या” में असंबद्ध विकल्प हों तो जोड़ें।

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Question 13/50 Easy Mathematics Linear Inequalities Class 11 Level 52

बिंदु ((0,0)) असमानता \(x+y\leq 4\) को संतुष्ट करता है या नहीं?

Does the point ((0,0)) satisfy \(x+y\leq 4\)?

Explanation opens after your attempt

Correct Answer

A. हाँYes

Step 1

Concept

Substituting ((0,0)) gives \(0\leq 4\), which is true. The origin test is a quick method.

Step 2

Why this answer is correct

The correct answer is A. हाँ / Yes. Substituting ((0,0)) gives \(0\leq 4\), which is true. The origin test is a quick method.

Step 3

Exam Tip

((0,0)) रखने पर \(0\leq 4\) सत्य है। मूल बिंदु परीक्षण आसान तरीका है।

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Question 14/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक परीक्षा में (6) लघु प्रश्न या (4) दीर्घ प्रश्नों में से केवल एक प्रश्न हल करना है। चयन के कितने तरीके हैं?

In an exam, exactly one question is to be solved from (6) short questions or (4) long questions. How many choices are there?

Explanation opens after your attempt

Correct Answer

A. (10)

Step 1

Concept

Only one type of question is chosen, so (6+4=10). Add the ways from separate option groups.

Step 2

Why this answer is correct

The correct answer is A. (10). Only one type of question is chosen, so (6+4=10). Add the ways from separate option groups.

Step 3

Exam Tip

केवल एक प्रकार का प्रश्न चुनना है इसलिए (6+4=10)। अलग-अलग विकल्प समूहों को जोड़ें।

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Question 15/50 Easy Mathematics Linear Inequalities Class 11 Level 52

बिंदु ((0,0)) असमानता \(x+y\geq 2\) को संतुष्ट करता है या नहीं?

Does the point ((0,0)) satisfy \(x+y\geq 2\)?

Explanation opens after your attempt

Correct Answer

B. नहींNo

Step 1

Concept

Substituting ((0,0)) gives \(0\geq 2\), which is false. So the origin is not in the solution region.

Step 2

Why this answer is correct

The correct answer is B. नहीं / No. Substituting ((0,0)) gives \(0\geq 2\), which is false. So the origin is not in the solution region.

Step 3

Exam Tip

((0,0)) रखने पर \(0\geq 2\) असत्य है। इसलिए मूल बिंदु हल-क्षेत्र में नहीं है।

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Question 16/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक विद्यालय में (7) लड़के और (5) लड़कियाँ भाषण के लिए उपलब्ध हैं। एक वक्ता कितने तरीकों से चुना जा सकता है?

In a school, (7) boys and (5) girls are available for a speech. In how many ways can one speaker be chosen?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

Only one speaker is to be chosen, so total ways are (7+5=12). Add when choosing one object from groups.

Step 2

Why this answer is correct

The correct answer is C. (12). Only one speaker is to be chosen, so total ways are (7+5=12). Add when choosing one object from groups.

Step 3

Exam Tip

एक ही वक्ता चुनना है इसलिए कुल (7+5=12)। एक वस्तु समूहों से चुननी हो तो जोड़ें।

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Question 17/50 Easy Mathematics Linear Inequalities Class 11 Level 52

रेखा (x+y=5) का (x)-अक्ष पर अंतःखंड क्या है?

What is the intercept of the line (x+y=5) on the (x)-axis?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

On the (x)-axis, put (y=0). Then (x=5).

Step 2

Why this answer is correct

The correct answer is C. (5). On the (x)-axis, put (y=0). Then (x=5).

Step 3

Exam Tip

(x)-अक्ष पर (y=0) रखते हैं। तब (x=5) मिलता है।

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Question 18/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक पुस्तकालय में (8) गणित की और (6) विज्ञान की पुस्तकें हैं। एक पुस्तक चुनने के कितने तरीके हैं?

A library has (8) mathematics books and (6) science books. In how many ways can one book be chosen?

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

One book is chosen from mathematics or science, so (8+6=14). For “only one,” look for the addition rule.

Step 2

Why this answer is correct

The correct answer is B. (14). One book is chosen from mathematics or science, so (8+6=14). For “only one,” look for the addition rule.

Step 3

Exam Tip

एक पुस्तक गणित या विज्ञान से चुनी जाएगी इसलिए (8+6=14)। “केवल एक” में जोड़ने का नियम देखें।

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Question 19/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक यात्री शहर (A) से (B) जाने के (3) तरीके और (B) से (C) जाने के (4) तरीके रखता है। (A) से (C) जाने के कुल तरीके कितने हैं?

A traveler has (3) ways to go from city (A) to (B) and (4) ways to go from (B) to (C). How many ways are there to go from (A) to (C)?

Explanation opens after your attempt

Correct Answer

D. (12)

Step 1

Concept

The journey has two consecutive stages, so \(3\times4=12\). Apply multiplication for consecutive stages.

Step 2

Why this answer is correct

The correct answer is D. (12). The journey has two consecutive stages, so \(3\times4=12\). Apply multiplication for consecutive stages.

Step 3

Exam Tip

यात्रा दो लगातार चरणों में है इसलिए \(3\times4=12\)। लगातार चरणों में गुणन सिद्धांत लगाएँ।

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Question 20/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता \(x+2y\leq 10\) की सीमा रेखा कौन-सी है?

What is the boundary line of \(x+2y\leq 10\)?

Explanation opens after your attempt

Correct Answer

A. (x+2y=10)

Step 1

Concept

To get the boundary line, replace the inequality sign by equality. This is the first line drawn in the graph.

Step 2

Why this answer is correct

The correct answer is A. (x+2y=10). To get the boundary line, replace the inequality sign by equality. This is the first line drawn in the graph.

Step 3

Exam Tip

सीमा रेखा पाने के लिए असमानता चिह्न को बराबर में बदलते हैं। यही आलेख की पहली रेखा होती है।

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Question 21/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक भोजन थाली में (2) रोटी विकल्प, (3) सब्ज़ी विकल्प और (2) मिठाई विकल्प हैं। एक-एक विकल्प चुनकर थाली कितने तरीकों से बनेगी?

A meal plate has (2) bread options, (3) vegetable options, and (2) dessert options. In how many ways can a plate be made by choosing one of each?

Explanation opens after your attempt

Correct Answer

A. (12)

Step 1

Concept

Total ways are \(2\times3\times2=12\). For three independent choices, multiply all three.

Step 2

Why this answer is correct

The correct answer is A. (12). Total ways are \(2\times3\times2=12\). For three independent choices, multiply all three.

Step 3

Exam Tip

कुल तरीके \(2\times3\times2=12\) हैं। तीन स्वतंत्र चुनाव हों तो तीनों को गुणा करें।

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Question 22/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता (3x-y>6) की सीमा रेखा कौन-सी होगी?

Which is the boundary line of (3x-y>6)?

Explanation opens after your attempt

Correct Answer

B. (3x-y=6)

Step 1

Concept

The boundary line is formed by using (=). Hence, the line is (3x-y=6).

Step 2

Why this answer is correct

The correct answer is B. (3x-y=6). The boundary line is formed by using (=). Hence, the line is (3x-y=6).

Step 3

Exam Tip

असमानता की सीमा रेखा में (=) लगाया जाता है। इसलिए रेखा (3x-y=6) है।

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Question 23/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक बैग में (3) रंगों के पेन, (4) रंगों के मार्कर और (2) रंगों की पेंसिल हैं। एक पेन, एक मार्कर और एक पेंसिल कितने तरीकों से चुने जा सकते हैं?

A bag has pens in (3) colors, markers in (4) colors, and pencils in (2) colors. In how many ways can one pen, one marker, and one pencil be chosen?

Explanation opens after your attempt

Correct Answer

B. (24)

Step 1

Concept

The choices are independent, so \(3\times4\times2=24\). Multiply stages connected by “and.”

Step 2

Why this answer is correct

The correct answer is B. (24). The choices are independent, so \(3\times4\times2=24\). Multiply stages connected by “and.”

Step 3

Exam Tip

चुनाव स्वतंत्र हैं इसलिए \(3\times4\times2=24\)। “और” से जुड़े चरणों में गुणा करें।

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Question 24/50 Easy Mathematics Linear Inequalities Class 11 Level 52

यदि ((1,2)) को \(x+y\leq 3\) में रखें तो क्या मिलेगा?

What happens when ((1,2)) is substituted in \(x+y\leq 3\)?

Explanation opens after your attempt

Correct Answer

A. सत्यTrue

Step 1

Concept

Substituting ((1,2)) gives \(1+2\leq 3\), so \(3\leq 3\) is true. The point also lies on the boundary.

Step 2

Why this answer is correct

The correct answer is A. सत्य / True. Substituting ((1,2)) gives \(1+2\leq 3\), so \(3\leq 3\) is true. The point also lies on the boundary.

Step 3

Exam Tip

((1,2)) रखने पर \(1+2\leq 3\) अर्थात \(3\leq 3\) सत्य है। यह बिंदु सीमा पर भी है।

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Question 25/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक ऑनलाइन फॉर्म में (4) कक्षा विकल्प, (3) सेक्शन विकल्प और (5) विषय विकल्प हैं। एक पूरा चयन कितने तरीकों से होगा?

An online form has (4) class options, (3) section options, and (5) subject options. In how many ways can a complete selection be made?

Explanation opens after your attempt

Correct Answer

C. (60)

Step 1

Concept

Total ways are \(4\times3\times5=60\). Multiply the choices in each dropdown.

Step 2

Why this answer is correct

The correct answer is C. (60). Total ways are \(4\times3\times5=60\). Multiply the choices in each dropdown.

Step 3

Exam Tip

कुल तरीके \(4\times3\times5=60\) हैं। प्रत्येक ड्रॉपडाउन के विकल्पों को गुणा करें।

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Question 26/50 Easy Mathematics Linear Inequalities Class 11 Level 52

बिंदु ((2,3)) असमानता (x+y<5) को संतुष्ट करता है या नहीं?

Does ((2,3)) satisfy (x+y<5)?

Explanation opens after your attempt

Correct Answer

B. नहींNo

Step 1

Concept

Substituting ((2,3)) gives (5<5), which is false. Equality is not allowed in a strict inequality.

Step 2

Why this answer is correct

The correct answer is B. नहीं / No. Substituting ((2,3)) gives (5<5), which is false. Equality is not allowed in a strict inequality.

Step 3

Exam Tip

((2,3)) रखने पर (5<5) असत्य है। कठोर असमानता में बराबरी स्वीकार नहीं होती।

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Question 27/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक उपहार पैक में (5) कवर, (2) रिबन और (3) कार्ड विकल्प हैं। एक पूरा पैक कितने तरीकों से बन सकता है?

A gift pack has (5) cover options, (2) ribbon options, and (3) card options. In how many ways can one complete pack be made?

Explanation opens after your attempt

Correct Answer

D. (30)

Step 1

Concept

All three choices are needed, so \(5\times2\times3=30\). Count every stage in a complete arrangement.

Step 2

Why this answer is correct

The correct answer is D. (30). All three choices are needed, so \(5\times2\times3=30\). Count every stage in a complete arrangement.

Step 3

Exam Tip

तीनों विकल्प एक साथ चाहिए इसलिए \(5\times2\times3=30\)। पूर्ण व्यवस्था में सभी चरण गिनें।

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Question 28/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता \(x+y\leq 7\) के लिए मूल बिंदु परीक्षण में कौन-सा कथन सत्य है?

Which statement is true in the origin test for \(x+y\leq 7\)?

Explanation opens after your attempt

Correct Answer

A. \(0\leq 7\) सत्य है\(0\leq 7\) is true

Step 1

Concept

Putting the origin gives left side (0). Hence, the side containing the origin is shaded.

Step 2

Why this answer is correct

The correct answer is A. \(0\leq 7\) सत्य है / \(0\leq 7\) is true. Putting the origin gives left side (0). Hence, the side containing the origin is shaded.

Step 3

Exam Tip

मूल बिंदु रखने पर बायाँ पक्ष (0) आता है। इसलिए मूल बिंदु वाले ओर छायांकन होगा।

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Question 29/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक (3)-अंकीय कोड में प्रत्येक स्थान पर (0) से (9) तक कोई भी अंक हो सकता है। यदि पुनरावृत्ति की अनुमति है तो कोड कितने होंगे?

In a (3)-digit code, each position can have any digit from (0) to (9). If repetition is allowed, how many codes are possible?

Explanation opens after your attempt

Correct Answer

A. (1000)

Step 1

Concept

Each position has (10) choices, so \(10\times10\times10=1000\). In a code, if leading (0) is allowed, take (10) choices.

Step 2

Why this answer is correct

The correct answer is A. (1000). Each position has (10) choices, so \(10\times10\times10=1000\). In a code, if leading (0) is allowed, take (10) choices.

Step 3

Exam Tip

हर स्थान के (10) विकल्प हैं इसलिए \(10\times10\times10=1000\)। कोड में पहला (0) भी चल सकता है तो (10) विकल्प लें।

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Question 30/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता \(x+y\geq 9\) में मूल बिंदु किस ओर के चयन में मदद करता है?

In \(x+y\geq 9\), how does the origin help choose the side?

Explanation opens after your attempt

Correct Answer

B. मूल बिंदु के विपरीत पक्ष चुनेंChoose the side opposite the origin

Step 1

Concept

Putting the origin gives \(0\geq 9\), which is false. So shade the side opposite the origin.

Step 2

Why this answer is correct

The correct answer is B. मूल बिंदु के विपरीत पक्ष चुनें / Choose the side opposite the origin. Putting the origin gives \(0\geq 9\), which is false. So shade the side opposite the origin.

Step 3

Exam Tip

मूल बिंदु रखने पर \(0\geq 9\) असत्य है। इसलिए छायांकन मूल बिंदु के विपरीत ओर होगा।

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Question 31/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

(1) से (9) तक के अंकों से पुनरावृत्ति सहित (2)-अंकीय पासकोड कितने बनेंगे?

How many (2)-digit passcodes can be formed from digits (1) to (9) with repetition allowed?

Explanation opens after your attempt

Correct Answer

B. (81)

Step 1

Concept

Both positions have (9) choices, so \(9\times9=81\). With repetition, choices do not decrease.

Step 2

Why this answer is correct

The correct answer is B. (81). Both positions have (9) choices, so \(9\times9=81\). With repetition, choices do not decrease.

Step 3

Exam Tip

दोनों स्थानों के (9) विकल्प हैं इसलिए \(9\times9=81\)। पुनरावृत्ति हो तो विकल्प घटते नहीं हैं।

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Question 32/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता \(x\geq 0\) का आलेख किस क्षेत्र को दिखाता है?

Which region is represented by \(x\geq 0\)?

Explanation opens after your attempt

Correct Answer

A. (y)-अक्ष के दाईं ओरRight of the (y)-axis

Step 1

Concept

In \(x\geq 0\), (x) is positive or zero. This is the region to the right of the (y)-axis.

Step 2

Why this answer is correct

The correct answer is A. (y)-अक्ष के दाईं ओर / Right of the (y)-axis. In \(x\geq 0\), (x) is positive or zero. This is the region to the right of the (y)-axis.

Step 3

Exam Tip

\(x\geq 0\) में (x) धनात्मक या शून्य है। यह (y)-अक्ष के दाईं ओर का क्षेत्र है।

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Question 33/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

अंकों (2,4,6,8) से पुनरावृत्ति बिना (2)-अंकीय संख्याएँ कितनी बनेंगी?

How many (2)-digit numbers can be formed from digits (2,4,6,8) without repetition?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

The first place has (4) choices and the second has (3), so \(4\times3=12\). Without repetition, choices decrease at the next place.

Step 2

Why this answer is correct

The correct answer is C. (12). The first place has (4) choices and the second has (3), so \(4\times3=12\). Without repetition, choices decrease at the next place.

Step 3

Exam Tip

पहले स्थान के (4) और दूसरे के (3) विकल्प हैं इसलिए \(4\times3=12\)। बिना पुनरावृत्ति हर अगले स्थान पर विकल्प घटते हैं।

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Question 34/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता \(y\geq 0\) का आलेख किस क्षेत्र को दिखाता है?

Which region is represented by \(y\geq 0\)?

Explanation opens after your attempt

Correct Answer

B. (x)-अक्ष के ऊपरAbove the (x)-axis

Step 1

Concept

In \(y\geq 0\), (y) is positive or zero. So the region is above the (x)-axis.

Step 2

Why this answer is correct

The correct answer is B. (x)-अक्ष के ऊपर / Above the (x)-axis. In \(y\geq 0\), (y) is positive or zero. So the region is above the (x)-axis.

Step 3

Exam Tip

\(y\geq 0\) में (y) धनात्मक या शून्य है। इसलिए क्षेत्र (x)-अक्ष के ऊपर है।

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Question 35/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

अंकों (0,1,2,3,4) से (2)-अंकीय संख्याएँ कितनी बनेंगी यदि पुनरावृत्ति की अनुमति है?

How many (2)-digit numbers can be formed from digits (0,1,2,3,4) if repetition is allowed?

Explanation opens after your attempt

Correct Answer

D. (20)

Step 1

Concept

The tens place cannot be (0), so it has (4) choices and the units place has (5). Total ways are \(4\times5=20\).

Step 2

Why this answer is correct

The correct answer is D. (20). The tens place cannot be (0), so it has (4) choices and the units place has (5). Total ways are \(4\times5=20\).

Step 3

Exam Tip

दहाई स्थान पर (0) नहीं आ सकता इसलिए (4) विकल्प और इकाई पर (5) विकल्प हैं। कुल \(4\times5=20\) हैं।

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Question 36/50 Easy Mathematics Linear Inequalities Class 11 Level 52

दो असमानताओं \(x\geq 0\) और \(y\geq 0\) का समान हल-क्षेत्र कौन-सा है?

What is the common solution region of \(x\geq 0\) and \(y\geq 0\)?

Explanation opens after your attempt

Correct Answer

A. पहला चतुर्थांशFirst quadrant

Step 1

Concept

Both coordinates are zero or positive. Therefore, the common region is the first quadrant.

Step 2

Why this answer is correct

The correct answer is A. पहला चतुर्थांश / First quadrant. Both coordinates are zero or positive. Therefore, the common region is the first quadrant.

Step 3

Exam Tip

दोनों निर्देशांक शून्य या धनात्मक हैं। इसलिए समान क्षेत्र पहला चतुर्थांश है।

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Question 37/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

अंकों (1,3,5,7,9) से पुनरावृत्ति बिना (3)-अंकीय संख्याएँ कितनी बनेंगी?

How many (3)-digit numbers can be formed from digits (1,3,5,7,9) without repetition?

Explanation opens after your attempt

Correct Answer

A. (60)

Step 1

Concept

The choices for three places are (5,4,3), so \(5\times4\times3=60\). While filling positions, track remaining choices.

Step 2

Why this answer is correct

The correct answer is A. (60). The choices for three places are (5,4,3), so \(5\times4\times3=60\). While filling positions, track remaining choices.

Step 3

Exam Tip

तीन स्थानों के विकल्प (5,4,3) हैं इसलिए \(5\times4\times3=60\)। स्थान भरते समय बचे हुए विकल्प देखें।

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Question 38/50 Easy Mathematics Linear Inequalities Class 11 Level 52

रेखा (x=4) का आलेख कैसा होता है?

What is the graph of the line (x=4)?

Explanation opens after your attempt

Correct Answer

B. लंबवत रेखाVertical line

Step 1

Concept

In (x=4), all points have the same (x)-coordinate. Hence, it is a vertical line.

Step 2

Why this answer is correct

The correct answer is B. लंबवत रेखा / Vertical line. In (x=4), all points have the same (x)-coordinate. Hence, it is a vertical line.

Step 3

Exam Tip

(x=4) में सभी बिंदुओं का (x)-निर्देशांक समान है। इसलिए यह लंबवत रेखा होती है।

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Question 39/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

अंकों (0,2,5,7) से पुनरावृत्ति बिना (3)-अंकीय संख्याएँ कितनी बनेंगी?

How many (3)-digit numbers can be formed from digits (0,2,5,7) without repetition?

Explanation opens after your attempt

Correct Answer

A. (18)

Step 1

Concept

The hundreds place cannot be (0), so it has (3) choices. Then (3) and (2) choices remain, giving \(3\times3\times2=18\).

Step 2

Why this answer is correct

The correct answer is A. (18). The hundreds place cannot be (0), so it has (3) choices. Then (3) and (2) choices remain, giving \(3\times3\times2=18\).

Step 3

Exam Tip

सैकड़ा स्थान पर (0) नहीं होगा इसलिए (3) विकल्प हैं। फिर (3) और (2) विकल्प बचते हैं इसलिए \(3\times3\times2=18\)।

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Question 40/50 Easy Mathematics Linear Inequalities Class 11 Level 52

रेखा (y=-3) का आलेख कैसा होता है?

What is the graph of the line (y=-3)?

Explanation opens after your attempt

Correct Answer

B. क्षैतिज रेखाHorizontal line

Step 1

Concept

In (y=-3), all points have the same (y)-coordinate. Hence, it is a horizontal line.

Step 2

Why this answer is correct

The correct answer is B. क्षैतिज रेखा / Horizontal line. In (y=-3), all points have the same (y)-coordinate. Hence, it is a horizontal line.

Step 3

Exam Tip

(y=-3) में सभी बिंदुओं का (y)-निर्देशांक समान है। इसलिए यह क्षैतिज रेखा होती है।

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Question 41/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

अंकों (2,3,4,5) से पुनरावृत्ति सहित (3)-अंकीय संख्याएँ कितनी बनेंगी?

How many (3)-digit numbers can be formed from digits (2,3,4,5) with repetition allowed?

Explanation opens after your attempt

Correct Answer

B. (64)

Step 1

Concept

Each place has (4) choices, so \(4\times4\times4=64\). With repetition, each place keeps the same choices.

Step 2

Why this answer is correct

The correct answer is B. (64). Each place has (4) choices, so \(4\times4\times4=64\). With repetition, each place keeps the same choices.

Step 3

Exam Tip

हर स्थान के (4) विकल्प हैं इसलिए \(4\times4\times4=64\)। पुनरावृत्ति होने पर हर स्थान पर समान विकल्प रहते हैं।

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Question 42/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता \(y\leq x+1\) का हल-क्षेत्र सीमा रेखा के किस ओर होगा?

For \(y\leq x+1\), where is the solution region relative to the boundary line?

Explanation opens after your attempt

Correct Answer

B. रेखा के नीचेBelow the line

Step 1

Concept

In \(y\leq x+1\), (y) is less than or equal to the line value. So the shading is below the line.

Step 2

Why this answer is correct

The correct answer is B. रेखा के नीचे / Below the line. In \(y\leq x+1\), (y) is less than or equal to the line value. So the shading is below the line.

Step 3

Exam Tip

\(y\leq x+1\) में (y) रेखा के मान से कम या बराबर है। इसलिए छायांकन नीचे की ओर होगा।

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Question 43/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

अंकों (1,2,3,4,5,6) से पुनरावृत्ति बिना (2)-अंकीय सम संख्याएँ कितनी बनेंगी?

How many (2)-digit even numbers can be formed from digits (1,2,3,4,5,6) without repetition?

Explanation opens after your attempt

Correct Answer

C. (15)

Step 1

Concept

The units place has (3) choices from (2,4,6), and (5) choices remain for the tens place. Total ways are \(3\times5=15\).

Step 2

Why this answer is correct

The correct answer is C. (15). The units place has (3) choices from (2,4,6), and (5) choices remain for the tens place. Total ways are \(3\times5=15\).

Step 3

Exam Tip

इकाई स्थान पर (2,4,6) में से (3) विकल्प हैं और दहाई पर (5) विकल्प बचते हैं। कुल \(3\times5=15\) हैं।

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Question 44/50 Easy Mathematics Linear Inequalities Class 11 Level 52

असमानता (y>2x-1) में हल-क्षेत्र कहाँ होगा?

Where is the solution region for (y>2x-1)?

Explanation opens after your attempt

Correct Answer

B. रेखा के ऊपरAbove the line

Step 1

Concept

When (y>), (y) is greater than the line value. Hence, the solution region is above the line.

Step 2

Why this answer is correct

The correct answer is B. रेखा के ऊपर / Above the line. When (y>), (y) is greater than the line value. Hence, the solution region is above the line.

Step 3

Exam Tip

(y>) होने पर (y) रेखा के मान से अधिक है। इसलिए हल-क्षेत्र रेखा के ऊपर होता है।

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Question 45/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

अंकों (0,1,2,3,4,5) से पुनरावृत्ति सहित (2)-अंकीय विषम संख्याएँ कितनी बनेंगी?

How many (2)-digit odd numbers can be formed from digits (0,1,2,3,4,5) with repetition allowed?

Explanation opens after your attempt

Correct Answer

D. (15)

Step 1

Concept

The units place has (3) choices (1,3,5), and the tens place has (5) choices from (1) to (5). Total ways are \(5\times3=15\).

Step 2

Why this answer is correct

The correct answer is D. (15). The units place has (3) choices (1,3,5), and the tens place has (5) choices from (1) to (5). Total ways are \(5\times3=15\).

Step 3

Exam Tip

इकाई स्थान पर (1,3,5) के (3) विकल्प हैं और दहाई पर (1) से (5) तक (5) विकल्प हैं। कुल \(5\times3=15\) हैं।

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Question 46/50 Easy Mathematics Linear Inequalities Class 11 Level 52

रेखा (x+y=4) बनाने के लिए कौन-से दो बिंदु सही हैं?

Which two points are suitable to draw the line (x+y=4)?

Explanation opens after your attempt

Correct Answer

A. ((4,0)) और ((0,4))((4,0)) and ((0,4))

Step 1

Concept

Both ((4,0)) and ((0,4)) satisfy the line. Intercepts help draw the line quickly.

Step 2

Why this answer is correct

The correct answer is A. ((4,0)) और ((0,4)) / ((4,0)) and ((0,4)). Both ((4,0)) and ((0,4)) satisfy the line. Intercepts help draw the line quickly.

Step 3

Exam Tip

((4,0)) और ((0,4)) दोनों रेखा को संतुष्ट करते हैं। अंतःखंडों से रेखा जल्दी बनती है।

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Question 47/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक (2)-अक्षर का कोड अंग्रेज़ी के (5) दिए गए अक्षरों से बनाना है। यदि अक्षर दोहराए जा सकते हैं तो कितने कोड बनेंगे?

A (2)-letter code is to be formed from (5) given English letters. If letters may be repeated, how many codes are possible?

Explanation opens after your attempt

Correct Answer

A. (25)

Step 1

Concept

Each position can take (5) letters, so \(5\times5=25\). If repetition is allowed in a code, keep the same choices for each position.

Step 2

Why this answer is correct

The correct answer is A. (25). Each position can take (5) letters, so \(5\times5=25\). If repetition is allowed in a code, keep the same choices for each position.

Step 3

Exam Tip

हर स्थान पर (5) अक्षर आ सकते हैं इसलिए \(5\times5=25\)। कोड में पुनरावृत्ति हो तो प्रत्येक स्थान पर समान विकल्प रखें।

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Question 48/50 Easy Mathematics Linear Inequalities Class 11 Level 52

रेखा (2x+y=6) बनाने के लिए (x)-अंतःखंड क्या है?

What is the (x)-intercept used to draw (2x+y=6)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

For the (x)-intercept, put (y=0). Then (2x=6), so (x=3).

Step 2

Why this answer is correct

The correct answer is C. (3). For the (x)-intercept, put (y=0). Then (2x=6), so (x=3).

Step 3

Exam Tip

(x)-अंतःखंड के लिए (y=0) रखें। तब (2x=6), इसलिए (x=3)।

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Question 49/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक (3)-अक्षर का कोड (6) अलग अक्षरों से बनाना है। यदि पुनरावृत्ति नहीं है तो कितने कोड बनेंगे?

A (3)-letter code is to be formed from (6) distinct letters. If repetition is not allowed, how many codes are possible?

Explanation opens after your attempt

Correct Answer

B. (120)

Step 1

Concept

For three positions, choices are (6,5,4), so \(6\times5\times4=120\). Without repetition, a chosen letter is no longer available.

Step 2

Why this answer is correct

The correct answer is B. (120). For three positions, choices are (6,5,4), so \(6\times5\times4=120\). Without repetition, a chosen letter is no longer available.

Step 3

Exam Tip

तीन स्थानों के लिए (6,5,4) विकल्प हैं इसलिए \(6\times5\times4=120\)। बिना पुनरावृत्ति चुना हुआ अक्षर फिर उपलब्ध नहीं रहता।

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Question 50/50 Easy Mathematics Permutations and Combinations Class 11 Level 52

एक वाहन नंबर में (2) अक्षर और उसके बाद (2) अंक हैं। अक्षरों के (4) विकल्प और अंकों के (10) विकल्प हैं। पुनरावृत्ति की अनुमति है तो कुल नंबर कितने बनेंगे?

A vehicle number has (2) letters followed by (2) digits. There are (4) choices for each letter and (10) choices for each digit. If repetition is allowed, how many numbers can be formed?

Explanation opens after your attempt

Correct Answer

C. (1600)

Step 1

Concept

The four positions have choices (4,4,10,10). Total numbers are \(4\times4\times10\times10=1600\).

Step 2

Why this answer is correct

The correct answer is C. (1600). The four positions have choices (4,4,10,10). Total numbers are \(4\times4\times10\times10=1600\).

Step 3

Exam Tip

चार स्थानों के विकल्प (4,4,10,10) हैं। कुल \(4\times4\times10\times10=1600\) होंगे।

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Class 11 Mathematics Easy Quiz

असमानता \(x+y\leq 6\) के आलेख में सीमा रेखा कैसी खींची जाती है?

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Exam Tip

एक छात्र के पास (4) कमीज़ और (3) पैंट हैं। वह एक कमीज़ और एक पैंट कितने तरीकों से चुन सकता है?

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Exam Tip

असमानता (2x-y<4) के आलेख में सीमा रेखा कैसी होगी?

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Exam Tip

एक मेन्यू में (5) नाश्ते और (4) पेय हैं। एक नाश्ता और एक पेय चुनने के कितने तरीके हैं?

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असमानता \(y\geq 3\) का हल-क्षेत्र किस ओर होगा?

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Why this answer is correct

Exam Tip

एक दुकान में (6) प्रकार की पेंसिल और (2) प्रकार की कॉपी हैं। एक पेंसिल और एक कॉपी कितने तरीकों से खरीदी जा सकती है?

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असमानता (y< -2) का हल-क्षेत्र कहाँ होगा?

Concept

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Exam Tip

एक विद्यार्थी (3) विषयों में से एक और (5) खेलों में से एक चुनता है। कुल चयन कितने होंगे?

Concept

Why this answer is correct

Exam Tip

असमानता \(x\leq 5\) का हल-क्षेत्र सीमा रेखा के किस ओर होगा?

Concept

Why this answer is correct

Exam Tip

एक मोबाइल लॉक में पहला अंक (1) से (5) तक और दूसरा अंक (0) से (9) तक हो सकता है। ऐसे (2) अंकों के कोड कितने होंगे?

Concept

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Exam Tip

असमानता (x> -1) के आलेख में हल-क्षेत्र कहाँ होगा?

Concept

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Exam Tip

किसी शहर से गाँव जाने के लिए (4) बस मार्ग और (3) ट्रेन मार्ग हैं। केवल एक साधन से यात्रा कितने तरीकों से की जा सकती है?

Concept

Why this answer is correct

Exam Tip

बिंदु ((0,0)) असमानता \(x+y\leq 4\) को संतुष्ट करता है या नहीं?

Concept

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Exam Tip

एक परीक्षा में (6) लघु प्रश्न या (4) दीर्घ प्रश्नों में से केवल एक प्रश्न हल करना है। चयन के कितने तरीके हैं?

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बिंदु ((0,0)) असमानता \(x+y\geq 2\) को संतुष्ट करता है या नहीं?

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Exam Tip

एक विद्यालय में (7) लड़के और (5) लड़कियाँ भाषण के लिए उपलब्ध हैं। एक वक्ता कितने तरीकों से चुना जा सकता है?

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रेखा (x+y=5) का (x)-अक्ष पर अंतःखंड क्या है?

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Exam Tip

एक पुस्तकालय में (8) गणित की और (6) विज्ञान की पुस्तकें हैं। एक पुस्तक चुनने के कितने तरीके हैं?

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Exam Tip

एक यात्री शहर (A) से (B) जाने के (3) तरीके और (B) से (C) जाने के (4) तरीके रखता है। (A) से (C) जाने के कुल तरीके कितने हैं?

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Exam Tip

असमानता \(x+2y\leq 10\) की सीमा रेखा कौन-सी है?

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