एक पौधे की ऊंचाई हर दिन (2) सेमी बढ़ती है। ऊंचाइयां \(12,14,16,18,\ldots\) हैं तो चौथे दिन की ऊंचाई क्या है?
A plant grows (2) cm every day. The heights are \(12,14,16,18,\ldots\). What is the height on the fourth day?
#ap
#word problem
#term position
#easy
A (12) सेमी / (12) cm
B (14) सेमी / (14) cm
C (18) सेमी / (18) cm
D (20) सेमी / (20) cm
Explanation opens after your attempt
Correct Answer
C. (18) सेमी / (18) cm
Step 1
Concept
The fourth term in the list is (18). Count the day and term position together.
Step 2
Why this answer is correct
The correct answer is C. (18) सेमी / (18) cm. The fourth term in the list is (18). Count the day and term position together.
Step 3
Exam Tip
सूची में चौथा पद (18) है। दिन और पद संख्या को साथ मिलाकर गिनें।
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यदि बचत राशि हर सप्ताह (50) रुपये बढ़ती है और राशियां \(100,150,200,250,\ldots\) हैं तो सार्व अंतर क्या है?
If savings increase by (50) rupees every week and the amounts are \(100,150,200,250,\ldots\), what is the common difference?
#ap
#word problem
#savings
#common difference
A (50)
B (100)
C (150)
D (250)
Explanation opens after your attempt
Step 1
Concept
The consecutive difference is (150-100=50). In real-life questions the equal increase is (d).
Step 2
Why this answer is correct
The correct answer is A. (50). The consecutive difference is (150-100=50). In real-life questions the equal increase is (d).
Step 3
Exam Tip
क्रमागत अंतर (150-100=50) है। वास्तविक जीवन के प्रश्नों में समान बढ़ोतरी ही (d) होती है।
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एक सीढ़ी पर हर अगला डंडा पिछले से (6) सेमी ऊंचा है। ऊंचाइयां \(10,16,22,28,\ldots\) हैं तो यह क्या बनाती हैं?
On a ladder, each next rung is (6) cm higher than the previous one. The heights are \(10,16,22,28,\ldots\). What do they form?
#ap
#word problem
#equal increase
#class ten
A ज्यामितीय श्रेणी / Geometric progression
B साधारण सूची / Simple list
C कोई अनुक्रम नहीं / No sequence
D अंकगणितीय श्रेणी / Arithmetic progression
Explanation opens after your attempt
Correct Answer
D. अंकगणितीय श्रेणी / Arithmetic progression
Step 1
Concept
There is an equal increase of (6) each time, so it is an arithmetic progression. In word problems look for equal increase.
Step 2
Why this answer is correct
The correct answer is D. अंकगणितीय श्रेणी / Arithmetic progression. There is an equal increase of (6) each time, so it is an arithmetic progression. In word problems look for equal increase.
Step 3
Exam Tip
हर बार (6) की समान वृद्धि है इसलिए यह अंकगणितीय श्रेणी है। शब्द प्रश्न में समान वृद्धि खोजें।
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एक किसान हर दिन (4) पौधे अधिक लगाता है। यदि पहले दिन (6) पौधे लगाए, तो पौधों की संख्या का अनुक्रम कैसा होगा?
A farmer plants (4) more plants each day. If he plants (6) plants on the first day, what will the sequence be?
#arithmetic-progression
#word-problem
#class10
A \(6,10,14,18,\ldots\)
B \(4,8,12,16,\ldots\)
C \(6,12,24,48,\ldots\)
D \(10,14,18,22,\ldots\)
Explanation opens after your attempt
Correct Answer
A. \(6,10,14,18,\ldots\)
Step 1
Concept
The first day has (6), and (4) more are planted each day. Hence the sequence is \(6,10,14,18,\ldots\).
Step 2
Why this answer is correct
The correct answer is A. \(6,10,14,18,\ldots\). The first day has (6), and (4) more are planted each day. Hence the sequence is \(6,10,14,18,\ldots\).
Step 3
Exam Tip
पहले दिन (6) और हर दिन (4) अधिक है। इसलिए अनुक्रम \(6,10,14,18,\ldots\) होगा।
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दो वस्तुओं की कीमतों के लिए (10x+3y=470) और (20x+6y=955) समीकरण बने। यह प्रणाली कैसी है?
For prices of two items, the equations (10x+3y=470) and (20x+6y=955) are formed. What type of system is this?
#linear equations
#expert
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (470/955) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (470/955) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (470/955) अलग है। इसलिए प्रणाली असंगत है।
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दो संख्याओं के लिए (7x+5y=58) और (4x-3y=11) समीकरण बनते हैं, तो हल-स्थिति क्या होगी?
For two numbers, the equations (7x+5y=58) and (4x-3y=11) are formed. What will be the solution status?
#linear equations
#expert
#word problem
#unique solution
A एक अद्वितीय हल / One unique solution
B कोई हल नहीं / No solution
C अनंत हल / Infinitely many solutions
D निर्धारित नहीं / Not determined
Explanation opens after your attempt
Correct Answer
A. एक अद्वितीय हल / One unique solution
Step 1
Concept
Here (7/4 \ne 5/(-3)), so the lines intersect. Such a pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is A. एक अद्वितीय हल / One unique solution. Here (7/4 \ne 5/(-3)), so the lines intersect. Such a pair has one unique solution.
Step 3
Exam Tip
यहां (7/4 \ne 5/(-3)), इसलिए रेखाएं कटती हैं। ऐसे युग्म का एक अद्वितीय हल होता है।
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दो टिकटों के दामों के लिए (9x+4y=380) और (18x+8y=775) समीकरण बने। यह प्रणाली कैसी है?
For prices of two tickets, the equations (9x+4y=380) and (18x+8y=775) are formed. What type of system is this?
#linear equations
#expert
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (380/775) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (380/775) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (380/775) अलग है। इसलिए प्रणाली असंगत है।
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एक दुकान में दो वस्तुओं के लिए (6x+11y=420) और (18x+33y=1260) समीकरण बनते हैं। हलों की संख्या क्या होगी?
In a shop, the equations for two items are (6x+11y=420) and (18x+33y=1260). How many solutions will there be?
#linear equations
#expert
#word problem
#infinite solutions
A कोई हल नहीं / No solution
B एक अद्वितीय हल / One unique solution
C अनंत हल / Infinitely many solutions
D दो हल / Two solutions
Explanation opens after your attempt
Correct Answer
C. अनंत हल / Infinitely many solutions
Step 1
Concept
The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
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दो वस्तुओं की कीमतों के लिए (9x+4y=360) और (27x+12y=1090) समीकरण बने। यह प्रणाली कैसी है?
For prices of two items, the equations (9x+4y=360) and (27x+12y=1090) are formed. What type of system is this?
#linear equations
#hard
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (360/1090) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (360/1090) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (360/1090) अलग है। इसलिए प्रणाली असंगत है।
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दो संख्याओं के लिए (6x+5y=49) और (3x-2y=7) समीकरण बनते हैं, तो हल-स्थिति क्या होगी?
For two numbers, the equations (6x+5y=49) and (3x-2y=7) are formed. What will be the solution status?
#linear equations
#hard
#word problem
#unique solution
A एक अद्वितीय हल / One unique solution
B कोई हल नहीं / No solution
C अनंत हल / Infinitely many solutions
D निर्धारित नहीं / Not determined
Explanation opens after your attempt
Correct Answer
A. एक अद्वितीय हल / One unique solution
Step 1
Concept
Here (6/3 \ne 5/(-2)) so the lines intersect. Such a pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is A. एक अद्वितीय हल / One unique solution. Here (6/3 \ne 5/(-2)) so the lines intersect. Such a pair has one unique solution.
Step 3
Exam Tip
यहां (6/3 \ne 5/(-2)) इसलिए रेखाएं कटती हैं। ऐसे युग्म का एक अद्वितीय हल होता है।
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दो टिकटों के दामों के लिए (8x+3y=280) और (16x+6y=575) समीकरण बने। यह प्रणाली कैसी है?
For prices of two tickets, the equations (8x+3y=280) and (16x+6y=575) are formed. What type of system is this?
#linear equations
#hard
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (280/575) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (280/575) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (280/575) अलग है। इसलिए प्रणाली असंगत है।
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एक दुकान में दो वस्तुओं के लिए (5x+9y=300) और (15x+27y=900) समीकरण बनते हैं। हलों की संख्या क्या होगी?
In a shop, the equations for two items are (5x+9y=300) and (15x+27y=900). How many solutions will there be?
#linear equations
#hard
#word problem
#infinite solutions
A कोई हल नहीं / No solution
B एक अद्वितीय हल / One unique solution
C अनंत हल / Infinitely many solutions
D दो हल / Two solutions
Explanation opens after your attempt
Correct Answer
C. अनंत हल / Infinitely many solutions
Step 1
Concept
The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
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दो संख्याओं के लिए (5x+2y=31) और (2x-3y=4) समीकरण बनते हैं, तो हल-स्थिति क्या होगी?
For two numbers, the equations (5x+2y=31) and (2x-3y=4) are formed. What will be the solution status?
#linear equations
#hard
#word problem
#unique solution
A एक अद्वितीय हल / One unique solution
B कोई हल नहीं / No solution
C अनंत हल / Infinitely many solutions
D निर्धारित नहीं / Not determined
Explanation opens after your attempt
Correct Answer
A. एक अद्वितीय हल / One unique solution
Step 1
Concept
Here (5/2 \ne 2/(-3)), so the lines intersect. Such a pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is A. एक अद्वितीय हल / One unique solution. Here (5/2 \ne 2/(-3)), so the lines intersect. Such a pair has one unique solution.
Step 3
Exam Tip
यहां (5/2 \ne 2/(-3)), इसलिए रेखाएं कटती हैं। ऐसे युग्म का एक अद्वितीय हल होता है।
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दो टिकटों के दामों के लिए (7x+5y=260) और (14x+10y=535) समीकरण बने। यह प्रणाली कैसी है?
For prices of two tickets, the equations (7x+5y=260) and (14x+10y=535) are formed. What type of system is this?
#linear equations
#hard
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (260/535) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (260/535) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (260/535) अलग है। इसलिए प्रणाली असंगत है।
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एक दुकान में दो वस्तुओं के लिए (4x+7y=210) और (12x+21y=630) समीकरण बनते हैं। हलों की संख्या क्या होगी?
In a shop, the equations for two items are (4x+7y=210) and (12x+21y=630). How many solutions will there be?
#linear equations
#hard
#word problem
#infinite solutions
A कोई हल नहीं / No solution
B एक अद्वितीय हल / One unique solution
C अनंत हल / Infinitely many solutions
D दो हल / Two solutions
Explanation opens after your attempt
Correct Answer
C. अनंत हल / Infinitely many solutions
Step 1
Concept
The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
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दो वस्तुओं की कीमतों के लिए (6x+5y=240) और (12x+10y=490) समीकरण बने। यह प्रणाली कैसी है?
For prices of two items, the equations (6x+5y=240) and (12x+10y=490) are formed. What type of system is this?
#linear equations
#hard
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (240/490) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (240/490) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (240/490) अलग है। इसलिए प्रणाली असंगत है।
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दो वस्तुओं की कीमतों के लिए (2x+7y=160) और (5x+16y=370) समीकरण बने। हल-स्थिति क्या होगी?
For prices of two items the equations (2x+7y=160) and (5x+16y=370) are formed. What will be the solution status?
#linear equations
#word problem
#unique solution
A एक अद्वितीय हल / One unique solution
B कोई हल नहीं / No solution
C अनंत हल / Infinitely many solutions
D संगत और आश्रित / Consistent and dependent
Explanation opens after your attempt
Correct Answer
A. एक अद्वितीय हल / One unique solution
Step 1
Concept
Here \(2/5 \ne 7/16\) so the lines intersect at one point. Such a pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is A. एक अद्वितीय हल / One unique solution. Here \(2/5 \ne 7/16\) so the lines intersect at one point. Such a pair has one unique solution.
Step 3
Exam Tip
यहां \(2/5 \ne 7/16\) इसलिए रेखाएं एक बिंदु पर कटती हैं। ऐसे युग्म का एक अद्वितीय हल होता है।
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दो संख्याओं के लिए (4x+y=19) और (x-3y=2) समीकरण बनते हैं तो हल-स्थिति क्या होगी?
For two numbers the equations (4x+y=19) and (x-3y=2) are formed. What will be the solution status?
#linear equations
#word problem
#unique solution
A एक अद्वितीय हल / One unique solution
B कोई हल नहीं / No solution
C अनंत हल / Infinitely many solutions
D निर्धारित नहीं / Not determined
Explanation opens after your attempt
Correct Answer
A. एक अद्वितीय हल / One unique solution
Step 1
Concept
Here (4/1 \ne 1/(-3)) so the lines intersect. Such a pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is A. एक अद्वितीय हल / One unique solution. Here (4/1 \ne 1/(-3)) so the lines intersect. Such a pair has one unique solution.
Step 3
Exam Tip
यहां (4/1 \ne 1/(-3)) इसलिए रेखाएं कटती हैं। ऐसे युग्म का एक अद्वितीय हल होता है।
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दो टिकटों के दामों के लिए (5x+4y=180) और (10x+8y=370) समीकरण बने। यह प्रणाली कैसी है?
For prices of two tickets the equations (5x+4y=180) and (10x+8y=370) are formed. What type of system is this?
#linear equations
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (180/370) is different. Therefore the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (180/370) is different. Therefore the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (180/370) अलग है। इसलिए प्रणाली असंगत है।
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एक दुकान में दो वस्तुओं के लिए (3x+4y=150) और (9x+12y=450) समीकरण बनते हैं। हलों की संख्या क्या होगी?
In a shop the equations for two items are (3x+4y=150) and (9x+12y=450). How many solutions will there be?
#linear equations
#word problem
#infinite solutions
A कोई हल नहीं / No solution
B एक अद्वितीय हल / One unique solution
C अनंत हल / Infinitely many solutions
D दो हल / Two solutions
Explanation opens after your attempt
Correct Answer
C. अनंत हल / Infinitely many solutions
Step 1
Concept
The second equation is (3) times the first. Therefore both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (3) times the first. Therefore both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
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दो वस्तुओं की कीमतों के लिए (4x+3y=125) और (8x+6y=260) समीकरण बने। यह प्रणाली कैसी है?
For prices of two items, the equations (4x+3y=125) and (8x+6y=260) are formed. What type of system is this?
#linear equations
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios (4/8=3/6) are equal but (125/260) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios (4/8=3/6) are equal but (125/260) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात (4/8=3/6) बराबर हैं लेकिन (125/260) अलग है। इसलिए प्रणाली असंगत है।
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दो संख्याओं के लिए (3x+y=14) और (x-2y=1) समीकरण बनते हैं, तो हल-स्थिति क्या होगी?
For two numbers, the equations (3x+y=14) and (x-2y=1) are formed. What will be the solution status?
#linear equations
#word problem
#unique solution
A एक अद्वितीय हल / One unique solution
B कोई हल नहीं / No solution
C अनंत हल / Infinitely many solutions
D निर्धारित नहीं / Not determined
Explanation opens after your attempt
Correct Answer
A. एक अद्वितीय हल / One unique solution
Step 1
Concept
Here (3/1 \ne 1/(-2)), so the lines intersect. Such a pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is A. एक अद्वितीय हल / One unique solution. Here (3/1 \ne 1/(-2)), so the lines intersect. Such a pair has one unique solution.
Step 3
Exam Tip
यहां (3/1 \ne 1/(-2)), इसलिए रेखाएं कटती हैं। ऐसे युग्म का एक अद्वितीय हल होता है।
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दो टिकटों के दामों के लिए (4x+3y=120) और (8x+6y=250) समीकरण बने। यह प्रणाली कैसी है?
For prices of two tickets, the equations (4x+3y=120) and (8x+6y=250) are formed. What type of system is this?
#linear equations
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (120/250) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (120/250) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (120/250) अलग है। इसलिए प्रणाली असंगत है।
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एक दुकान में दो वस्तुओं के लिए (2x+3y=90) और (4x+6y=180) समीकरण बनते हैं। हलों की संख्या क्या होगी?
In a shop, the equations for two items are (2x+3y=90) and (4x+6y=180). How many solutions will there be?
#linear equations
#word problem
#infinite solutions
A कोई हल नहीं / No solution
B एक अद्वितीय हल / One unique solution
C अनंत हल / Infinitely many solutions
D दो हल / Two solutions
Explanation opens after your attempt
Correct Answer
C. अनंत हल / Infinitely many solutions
Step 1
Concept
The second equation is (2) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (2) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
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यदि दो संख्याओं के लिए (x+y=12) और (2x-y=3) समीकरण बनते हैं, तो हल-स्थिति क्या होगी?
If the equations for two numbers are (x+y=12) and (2x-y=3), what will be the solution status?
#linear equations
#word problem
#unique solution
A एक अद्वितीय हल / One unique solution
B कोई हल नहीं / No solution
C अनंत हल / Infinitely many solutions
D निर्धारित नहीं / Not determined
Explanation opens after your attempt
Correct Answer
A. एक अद्वितीय हल / One unique solution
Step 1
Concept
Here (1/2 \ne 1/(-1)), so the lines intersect. Such a pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is A. एक अद्वितीय हल / One unique solution. Here (1/2 \ne 1/(-1)), so the lines intersect. Such a pair has one unique solution.
Step 3
Exam Tip
यहां (1/2 \ne 1/(-1)), इसलिए रेखाएं कटती हैं। ऐसे युग्म का एक अद्वितीय हल होता है।
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दो टिकटों के दामों के लिए (3x+2y=80) और (6x+4y=170) समीकरण बने। यह प्रणाली कैसी है?
For prices of two tickets, the equations (3x+2y=80) and (6x+4y=170) are formed. What type of system is this?
#linear equations
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (80/170) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (80/170) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (80/170) अलग है। इसलिए प्रणाली असंगत है।
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एक दुकान पर दो वस्तुओं के लिए समीकरण (x+2y=50) और (2x+4y=100) बनते हैं। हलों की संख्या क्या होगी?
For two items in a shop, the equations are (x+2y=50) and (2x+4y=100). How many solutions will there be?
#linear equations
#word problem
#infinite solutions
A कोई हल नहीं / No solution
B एक अद्वितीय हल / One unique solution
C अनंत हल / Infinitely many solutions
D दो हल / Two solutions
Explanation opens after your attempt
Correct Answer
C. अनंत हल / Infinitely many solutions
Step 1
Concept
The second equation is (2) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (2) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
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दो टिकटों की कीमतों का योग (180) रुपये है। महंगा टिकट सस्ते टिकट से (40) रुपये अधिक है। महंगे टिकट की कीमत क्या है?
The sum of the prices of two tickets is (180) rupees. The costlier ticket is (40) rupees more than the cheaper ticket. What is the price of the costlier ticket?
#word-problem
#tickets
#elimination
A (100) रुपये / (100) rupees
B (105) रुपये / (105) rupees
C (110) रुपये / (110) rupees
D (120) रुपये / (120) rupees
Explanation opens after your attempt
Correct Answer
C. (110) रुपये / (110) rupees
Step 1
Concept
Let the prices be (x) and (y), so (x+y=180) and (x-y=40). Adding gives (2x=220), so (x=110).
Step 2
Why this answer is correct
The correct answer is C. (110) रुपये / (110) rupees. Let the prices be (x) and (y), so (x+y=180) and (x-y=40). Adding gives (2x=220), so (x=110).
Step 3
Exam Tip
यदि कीमतें (x) और (y) हों तो (x+y=180) और (x-y=40)। जोड़ने पर (2x=220), इसलिए (x=110)।
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एक परीक्षा में सही उत्तर पर (4) अंक और गलत उत्तर पर (-1) अंक मिलते हैं। (20) प्रश्नों में कुल (55) अंक आए, तो सही उत्तरों की संख्या क्या है?
In a test, a correct answer gives (4) marks and a wrong answer gives (-1) mark. Out of (20) questions, the total score is (55). How many answers are correct?
#word-problem
#marks
#elimination
A (13)
B (14)
C (15)
D (16)
Explanation opens after your attempt
Step 1
Concept
Let correct answers be (c) and wrong answers be (w), so (c+w=20) and (4c-w=55). Adding gives (5c=75), so (c=15).
Step 2
Why this answer is correct
The correct answer is C. (15). Let correct answers be (c) and wrong answers be (w), so (c+w=20) and (4c-w=55). Adding gives (5c=75), so (c=15).
Step 3
Exam Tip
यदि सही उत्तर (c) और गलत (w) हों तो (c+w=20) और (4c-w=55)। जोड़ने पर (5c=75), इसलिए (c=15)।
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राम की वर्तमान आयु श्याम की आयु से (4) वर्ष अधिक है। (5) वर्ष बाद उनकी आयुओं का योग (44) होगा। राम की वर्तमान आयु क्या है?
Ram is (4) years older than Shyam. After (5) years, the sum of their ages will be (44). What is Ram's present age?
#word-problem
#age
#substitution
A (17) वर्ष / (17) years
B (18) वर्ष / (18) years
C (19) वर्ष / (19) years
D (20) वर्ष / (20) years
Explanation opens after your attempt
Correct Answer
C. (19) वर्ष / (19) years
Step 1
Concept
Let Ram's age be (r) and Shyam's be (s), so (r-s=4) and (r+s+10=44). Solving gives (r=19).
Step 2
Why this answer is correct
The correct answer is C. (19) वर्ष / (19) years. Let Ram's age be (r) and Shyam's be (s), so (r-s=4) and (r+s+10=44). Solving gives (r=19).
Step 3
Exam Tip
यदि राम की आयु (r) और श्याम की (s) हो तो (r-s=4) और (r+s+10=44)। हल करने पर (r=19) मिलता है।
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