32 results found for "excluded items" in Class 10.
एक दुकान में पहले दिन (500) वस्तुएं थीं और हर अगले दिन (30) वस्तुएं कम हुईं। (14)वें दिन कितनी वस्तुएं बचेंगी?
A shop has (500) items on the first day and (30) fewer items each next day. How many items will remain on the (14)th day?
#ap
#word-problem
#shop
#nth-day
A (90)
B (100)
C (110)
D (120)
Explanation opens after your attempt
Step 1
Concept
The item numbers are \(500,470,440,\ldots\) and \(a_{14}=110\). Exam tip: keep (d) negative in a decreasing AP.
Step 2
Why this answer is correct
The correct answer is C. (110). The item numbers are \(500,470,440,\ldots\) and \(a_{14}=110\). Exam tip: keep (d) negative in a decreasing AP.
Step 3
Exam Tip
वस्तुओं की संख्या \(500,470,440,\ldots\) है और \(a_{14}=110\)। परीक्षा में घटती श्रेणी में (d) ऋणात्मक रखें।
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एक फैक्टरी पहले दिन (180) सामान बनाती है और हर अगले दिन (20) सामान अधिक बनाती है। (8) दिनों में कुल कितने सामान बनेंगे?
A factory makes (180) items on the first day and (20) more items each next day. How many items are made in (8) days?
#ap
#word-problem
#production
A (1880)
B (1920)
C (2000)
D (2040)
Explanation opens after your attempt
Step 1
Concept
The production is the AP \(180,200,220,\ldots\) and \(S_8=2000\). Exam tip: treat the daily increase as the common difference.
Step 2
Why this answer is correct
The correct answer is C. (2000). The production is the AP \(180,200,220,\ldots\) and \(S_8=2000\). Exam tip: treat the daily increase as the common difference.
Step 3
Exam Tip
उत्पादन \(180,200,220,\ldots\) समान्तर श्रेणी है और \(S_8=2000\)। परीक्षा में दैनिक वृद्धि को सार्व अंतर मानें।
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एक फैक्टरी पहले दिन (150) सामान बनाती है और हर अगले दिन (25) सामान अधिक बनाती है। (7) दिनों में कुल कितने सामान बनेंगे?
A factory makes (150) items on the first day and (25) more items each next day. How many items are made in (7) days?
#ap
#word-problem
#production
A (1575)
B (1600)
C (1625)
D (1650)
Explanation opens after your attempt
Step 1
Concept
The production is the AP \(150,175,200,\ldots\) and \(S_7=1575\). Exam tip: treat the daily increase as the common difference.
Step 2
Why this answer is correct
The correct answer is A. (1575). The production is the AP \(150,175,200,\ldots\) and \(S_7=1575\). Exam tip: treat the daily increase as the common difference.
Step 3
Exam Tip
उत्पादन \(150,175,200,\ldots\) समान्तर श्रेणी है और \(S_7=1575\)। परीक्षा में दैनिक वृद्धि को सार्व अंतर मानें।
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एक उत्पादन केंद्र पहले घंटे (70) वस्तुएं बनाता है और हर अगले घंटे (13) वस्तुएं अधिक बनाता है। (12) घंटों में कुल उत्पादन कितना होगा?
A production centre makes (70) items in the first hour and (13) more items each next hour. What is the total production in (12) hours?
#ap
#word-problem
#production
#total
A (1638)
B (1668)
C (1698)
D (1728)
Explanation opens after your attempt
Step 1
Concept
The production is the AP \(70,83,96,\ldots\) and \(S_{12}=1698\). Exam tip: treat each hour's production as one term.
Step 2
Why this answer is correct
The correct answer is C. (1698). The production is the AP \(70,83,96,\ldots\) and \(S_{12}=1698\). Exam tip: treat each hour's production as one term.
Step 3
Exam Tip
उत्पादन \(70,83,96,\ldots\) समान्तर श्रेणी है और \(S_{12}=1698\)। परीक्षा में हर घंटे का उत्पादन एक पद मानें।
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एक दुकान में (16) सप्ताहों की कुल बिक्री (1320) वस्तुएं है। यदि पहले सप्ताह (45) वस्तुएं बिकीं तो साप्ताहिक वृद्धि कितनी है?
A shop sells (1320) items in (16) weeks. If (45) items are sold in the first week then what is the weekly increase?
#ap
#word-problem
#sales
#difference
A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
Using \(S_{16}=1320\) and (a=45) gives (d=5). Exam tip: find the common difference from total and first term.
Step 2
Why this answer is correct
The correct answer is C. (5). Using \(S_{16}=1320\) and (a=45) gives (d=5). Exam tip: find the common difference from total and first term.
Step 3
Exam Tip
\(S_{16}=1320\) और (a=45) रखने पर (d=5) मिलता है। परीक्षा में कुल और प्रथम पद से सार्व अंतर निकालें।
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एक दुकान की (12) सप्ताहों की कुल बिक्री (990) वस्तुएं है। यदि हर सप्ताह बिक्री (6) वस्तुओं से बढ़ती है तो पहले सप्ताह की बिक्री कितनी थी?
The total sale of a shop for (12) weeks is (990) items. If the sale increases by (6) items every week then what was the sale in the first week?
#ap
#word-problem
#first-term
A (48)
B (50)
C (52)
D (54)
Explanation opens after your attempt
Step 1
Concept
Using \(S_{12}=990\) and (d=6) gives (a=50). Exam tip: solve the sum formula for the unknown first term.
Step 2
Why this answer is correct
The correct answer is B. (50). Using \(S_{12}=990\) and (d=6) gives (a=50). Exam tip: solve the sum formula for the unknown first term.
Step 3
Exam Tip
\(S_{12}=990\) और (d=6) रखने पर (a=50) मिलता है। परीक्षा में अज्ञात प्रथम पद के लिए योग सूत्र हल करें।
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एक दुकान की (10) सप्ताहों की कुल बिक्री (725) वस्तुएं है। यदि हर सप्ताह बिक्री (5) वस्तुओं से बढ़ती है तो पहले सप्ताह की बिक्री कितनी थी?
The total sale of a shop for (10) weeks is (725) items. If the sale increases by (5) items every week then what was the sale in the first week?
#ap
#word-problem
#first-term
A (48)
B (50)
C (52)
D (55)
Explanation opens after your attempt
Step 1
Concept
Using \(S_{10}=725\) and (d=5) gives (a=50). Exam tip: solve the sum formula for the unknown first term.
Step 2
Why this answer is correct
The correct answer is B. (50). Using \(S_{10}=725\) and (d=5) gives (a=50). Exam tip: solve the sum formula for the unknown first term.
Step 3
Exam Tip
\(S_{10}=725\) और (d=5) रखने पर (a=50) मिलता है। परीक्षा में अज्ञात प्रथम पद के लिए योग सूत्र हल करें।
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एक दुकान की (8) सप्ताहों की कुल बिक्री (440) वस्तुएं है। यदि हर सप्ताह बिक्री (10) वस्तुओं से बढ़ती है तो पहले सप्ताह की बिक्री कितनी थी?
The total sale of a shop for (8) weeks is (440) items. If the sale increases by (10) items every week then what was the sale in the first week?
#ap
#word-problem
#first-term
A (20)
B (25)
C (30)
D (35)
Explanation opens after your attempt
Step 1
Concept
Using \(S_8=440\) and (d=10) gives (a=20). Exam tip: solve the sum formula for the unknown first term.
Step 2
Why this answer is correct
The correct answer is A. (20). Using \(S_8=440\) and (d=10) gives (a=20). Exam tip: solve the sum formula for the unknown first term.
Step 3
Exam Tip
\(S_8=440\) और (d=10) रखने पर (a=20) मिलता है। परीक्षा में अज्ञात प्रथम पद के लिए योग सूत्र हल करें।
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एक कारखाना पहले दिन (350) वस्तुएं बनाता है और हर दिन उत्पादन (15) वस्तुएं बढ़ता है। (22)वें दिन उत्पादन कितना होगा?
A factory makes (350) items on the first day and production increases by (15) items each day. What is the production on the (22)nd day?
#ap
#word-problem
#production
#nth-term
A (650)
B (680)
C (695)
D (665)
Explanation opens after your attempt
Step 1
Concept
\(a_{22}=350+21\times15=665\). Treat the first day as \(a_1\) and add (21) differences.
Step 2
Why this answer is correct
The correct answer is D. (665). \(a_{22}=350+21\times15=665\). Treat the first day as \(a_1\) and add (21) differences.
Step 3
Exam Tip
\(a_{22}=350+21\times15=665\)। पहले दिन को \(a_1\) मानकर (21) अंतर जोड़ें।
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एक मशीन पहले घंटे (500) वस्तुएं बनाती है और हर अगले घंटे उत्पादन (20) वस्तुएं घटता है। (14)वें घंटे का उत्पादन क्या होगा?
A machine makes (500) items in the first hour and production decreases by (20) items each next hour. What is the production in the (14)th hour?
#ap
#word-problem
#decreasing
#nth-term
A (240)
B (260)
C (280)
D (300)
Explanation opens after your attempt
Step 1
Concept
Here (a=500), (d=-20), so (a_{14}=500+13(-20)=240). In decreasing word problems, take (d) as negative.
Step 2
Why this answer is correct
The correct answer is A. (240). Here (a=500), (d=-20), so (a_{14}=500+13(-20)=240). In decreasing word problems, take (d) as negative.
Step 3
Exam Tip
यहां (a=500), (d=-20), इसलिए (a_{14}=500+13(-20)=240)। घटते शब्द-प्रश्न में (d) ऋणात्मक लें।
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एक दुकानदार ने (x) वस्तुएँ (720) रुपये में खरीदीं। यदि (3) वस्तुएँ अधिक मिलतीं तो प्रति वस्तु लागत (40) रुपये कम होती। (x) क्या है?
A shopkeeper bought (x) items for (720) rupees. If he had received (3) more items, the cost per item would be (40) rupees less. What is (x)?
#quadratic equations
#cost per item
#commerce
A (6)
B (8)
C (9)
D (12)
Explanation opens after your attempt
Step 1
Concept
We get \(\frac{720}{x}-\frac{720}{x+3}=40\). This gives \(40x^2+120x-2160=0\), so (x=6).
Step 2
Why this answer is correct
The correct answer is A. (6). We get \(\frac{720}{x}-\frac{720}{x+3}=40\). This gives \(40x^2+120x-2160=0\), so (x=6).
Step 3
Exam Tip
\(\frac{720}{x}-\frac{720}{x+3}=40\) बनता है। इससे \(40x^2+120x-2160=0\) और (x=6) मिलता है।
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एक वस्तु पर (1200) रुपये खर्च होते हैं। यदि प्रति वस्तु मूल्य (10) रुपये कम हो जाए तो उसी धन से (4) वस्तुएँ अधिक मिलती हैं। मूल प्रति वस्तु मूल्य क्या था?
A total of (1200) rupees is spent on some items. If the price per item decreases by (10) rupees, (4) more items can be bought for the same money. What was the original price per item?
#quadratic equations
#price quantity
#application
A (50) रुपये / (50) rupees
B (60) रुपये / (60) rupees
C (70) रुपये / (70) rupees
D (80) रुपये / (80) rupees
Explanation opens after your attempt
Correct Answer
B. (60) रुपये / (60) rupees
Step 1
Concept
If original price is (x), then \(\frac{1200}{x-10}-\frac{1200}{x}=4\). Solving gives (x=60).
Step 2
Why this answer is correct
The correct answer is B. (60) रुपये / (60) rupees. If original price is (x), then \(\frac{1200}{x-10}-\frac{1200}{x}=4\). Solving gives (x=60).
Step 3
Exam Tip
मूल मूल्य (x) हो तो \(\frac{1200}{x-10}-\frac{1200}{x}=4\)। हल करने पर (x=60) मिलता है।
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एक कारखाने में रोज उत्पादन \(120,135,150,\ldots\) वस्तुओं का है। (10) दिनों में कुल उत्पादन कितना होगा?
A factory produces \(120,135,150,\ldots\) items per day. What is the total production in (10) days?
#production
#word problem
#ap sum
A (1875)
B (1880)
C (1870)
D (1900)
Explanation opens after your attempt
Step 1
Concept
The production forms an AP, and \(S_{10}=1875\). Treat the daily increase as the common difference.
Step 2
Why this answer is correct
The correct answer is A. (1875). The production forms an AP, and \(S_{10}=1875\). Treat the daily increase as the common difference.
Step 3
Exam Tip
यह उत्पादन समांतर श्रेढ़ी बनाता है और \(S_{10}=1875\) है। दैनिक वृद्धि को सार्व अंतर मानें।
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एक मशीन हर घंटे (15) वस्तुएं अधिक बनाती है। उत्पादन \(20,35,50,65,\ldots\) है तो तीसरे और पहले पद का अंतर क्या है?
A machine produces (15) more items each hour. The production is \(20,35,50,65,\ldots\). What is the difference between the third and first terms?
#ap
#word problem
#term difference
#medium
A (15)
B (20)
C (35)
D (30)
Explanation opens after your attempt
Step 1
Concept
The third term is (50) and the first is (20), so the difference is (30). It equals (2d).
Step 2
Why this answer is correct
The correct answer is D. (30). The third term is (50) and the first is (20), so the difference is (30). It equals (2d).
Step 3
Exam Tip
तीसरा पद (50) और पहला (20) है इसलिए अंतर (30) है। यह (2d) के बराबर है।
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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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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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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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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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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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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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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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एक दुकान में दो वस्तुओं की कुल कीमत (154) है और पहली वस्तु दूसरी से (22) महंगी है। ग्राफीय समाधान कौन सा है?
In a shop, the total cost of two items is (154), and the first item is (22) costlier than the second. What is the graphical solution?
#graphical method
#word problem
#application
#intersection
A ((88,66))
B ((66,88))
C ((87,67))
D ((90,64))
Explanation opens after your attempt
Correct Answer
A. ((88,66))
Step 1
Concept
The equations are (x+y=154) and (x-y=22). Solving gives (x=88), (y=66), which is the graph intersection.
Step 2
Why this answer is correct
The correct answer is A. ((88,66)). The equations are (x+y=154) and (x-y=22). Solving gives (x=88), (y=66), which is the graph intersection.
Step 3
Exam Tip
समीकरण (x+y=154) और (x-y=22) हैं। इन्हें हल करने पर (x=88), (y=66), जो ग्राफ का प्रतिच्छेद है।
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एक दुकान में दो वस्तुओं की कुल कीमत (126) है और पहली वस्तु दूसरी से (18) महंगी है। ग्राफीय समाधान कौन सा है?
In a shop, the total cost of two items is (126), and the first item is (18) costlier than the second. What is the graphical solution?
#graphical method
#word problem
#application
#intersection
A ((72,54))
B ((54,72))
C ((70,56))
D ((74,52))
Explanation opens after your attempt
Correct Answer
A. ((72,54))
Step 1
Concept
The equations are (x+y=126) and (x-y=18). Solving gives (x=72), (y=54), which is the graph intersection.
Step 2
Why this answer is correct
The correct answer is A. ((72,54)). The equations are (x+y=126) and (x-y=18). Solving gives (x=72), (y=54), which is the graph intersection.
Step 3
Exam Tip
समीकरण (x+y=126) और (x-y=18) हैं। इन्हें हल करने पर (x=72), (y=54), जो ग्राफ का प्रतिच्छेद है।
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एक दुकान में दो वस्तुओं की कुल कीमत (90) है और पहली वस्तु दूसरी से (14) महंगी है। ग्राफीय समाधान कौन सा है?
In a shop, the total cost of two items is (90), and the first item is (14) costlier than the second. What is the graphical solution?
#graphical method
#word problem
#application
#intersection
A ((52,38))
B ((38,52))
C ((50,40))
D ((54,36))
Explanation opens after your attempt
Correct Answer
A. ((52,38))
Step 1
Concept
The equations are (x+y=90) and (x-y=14). Solving gives (x=52), (y=38), which is the graph intersection.
Step 2
Why this answer is correct
The correct answer is A. ((52,38)). The equations are (x+y=90) and (x-y=14). Solving gives (x=52), (y=38), which is the graph intersection.
Step 3
Exam Tip
समीकरण (x+y=90) और (x-y=14) हैं। इन्हें हल करने पर (x=52), (y=38), जो ग्राफ का प्रतिच्छेद है।
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एक दुकानदार (x) रुपये प्रति वस्तु के हिसाब से (80-x) वस्तुएँ बेचता है। कुल आय (1500) है। (x) का छोटा मान क्या है?
A shopkeeper sells (80-x) items at (x) rupees per item. The total revenue is (1500). What is the smaller value of (x)?
#quadratic-equations
#word-problems
#sales-revenue
A (30)
B (50)
C (40)
D (20)
Explanation opens after your attempt
Step 1
Concept
The equation is (x(80-x)=1500). From \(x^2-80x+1500=0\), (x=30) or (50), so the smaller value is (30).
Step 2
Why this answer is correct
The correct answer is A. (30). The equation is (x(80-x)=1500). From \(x^2-80x+1500=0\), (x=30) or (50), so the smaller value is (30).
Step 3
Exam Tip
समीकरण (x(80-x)=1500) है। \(x^2-80x+1500=0\) से (x=30) या (50), छोटा मान (30) है।
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एक दुकानदार (x) रुपये प्रति वस्तु के हिसाब से (60-x) वस्तुएँ बेचता है। कुल आय (875) है। (x) का छोटा मान क्या है?
A shopkeeper sells (60-x) items at (x) rupees per item. The total revenue is (875). What is the smaller value of (x)?
#quadratic-equations
#word-problems
#sales-revenue
A (25)
B (35)
C (30)
D (20)
Explanation opens after your attempt
Step 1
Concept
The equation is (x(60-x)=875). From \(x^2-60x+875=0\), (x=25) or (35), so the smaller value is (25).
Step 2
Why this answer is correct
The correct answer is A. (25). The equation is (x(60-x)=875). From \(x^2-60x+875=0\), (x=25) or (35), so the smaller value is (25).
Step 3
Exam Tip
समीकरण (x(60-x)=875) है। \(x^2-60x+875=0\) से (x=25) या (35), छोटा मान (25) है।
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सोडियम हाइड्रोजन कार्बोनेट को भोजन पकाने में फुलाव लाने के लिए क्यों उपयोग किया जाता है?
Why is sodium hydrogen carbonate used to make food items rise during cooking?
#baking-soda
#carbon-dioxide
#food-chemistry
#expert
A गरम होने पर यह कार्बन डाइऑक्साइड छोड़ता है / It releases carbon dioxide on heating
B गरम होने पर यह ऑक्सीजन छोड़ता है / It releases oxygen on heating
C यह भोजन को अम्लीय बनाकर कठोर करता है / It makes food acidic and hard
D यह जल को पूरी तरह हटाता है / It removes all water
Explanation opens after your attempt
Correct Answer
A. गरम होने पर यह कार्बन डाइऑक्साइड छोड़ता है / It releases carbon dioxide on heating
Step 1
Concept
Sodium hydrogen carbonate releases carbon dioxide on heating.
Step 2
Why this answer is correct
Gas bubbles make dough or batter rise.
Step 3
Exam Tip
This is why it is used in cakes and similar food items. चरण 1: सोडियम हाइड्रोजन कार्बोनेट गरम होने पर कार्बन डाइऑक्साइड बनाता है। चरण 2: गैस के बुलबुले आटे या घोल को फूलाते हैं। चरण 3: इसलिए इसका उपयोग केक और पकवानों में फुलाव के लिए होता है।
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एथेंस में नागरिकता से किन समूहों को सामान्यतः बाहर रखा गया था?
Which groups were generally excluded from citizenship in Athens?
#world history
#ancient civilizations
#athens
#citizenship
A सभा सदस्य / Assembly members
B सभी वयस्क पुरुष नागरिक / All adult male citizens
C महिलाएं दास और विदेशी निवासी / Women slaves and foreign residents
D जूरी सदस्य / Jury members
Explanation opens after your attempt
Correct Answer
C. महिलाएं दास और विदेशी निवासी / Women slaves and foreign residents
Step 1
Concept
Athenian democracy was direct but citizenship was limited. For exams remember the limits of democracy too.
Step 2
Why this answer is correct
The correct answer is C. महिलाएं दास और विदेशी निवासी / Women slaves and foreign residents. Athenian democracy was direct but citizenship was limited. For exams remember the limits of democracy too.
Step 3
Exam Tip
एथेंस का लोकतंत्र प्रत्यक्ष था पर नागरिकता सीमित थी। परीक्षा में लोकतंत्र की सीमा भी याद रखें।
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