16 results found for "team-input" in Class 10.
एक टूर्नामेंट में प्रत्येक टीम हर अन्य टीम से एक मैच खेलती है। कुल (153) मैच हुए। टीमों की संख्या कितनी थी?
In a tournament, each team plays one match against every other team. A total of (153) matches were played. How many teams were there?
#quadratic equations
#tournament
#matches
A (17)
B (18)
C (19)
D (20)
Explanation opens after your attempt
Step 1
Concept
Let the number of teams be (n). Then (\frac{n(n-1)}{2}=153). This gives \(n^2-n-306=0\), so (n=18).
Step 2
Why this answer is correct
The correct answer is B. (18). Let the number of teams be (n). Then (\frac{n(n-1)}{2}=153). This gives \(n^2-n-306=0\), so (n=18).
Step 3
Exam Tip
टीमों की संख्या (n) हो तो (\frac{n(n-1)}{2}=153)। इससे \(n^2-n-306=0\) और (n=18) है।
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एक प्रतियोगिता में प्रत्येक टीम प्रत्येक अन्य टीम से एक मैच खेलती है। कुल मैच (28) हैं। टीमों की संख्या क्या है?
In a tournament, each team plays one match with every other team. The total number of matches is (28). What is the number of teams?
#quadratic-equations
#word-problems
#tournament
A (8)
B (7)
C (9)
D (10)
Explanation opens after your attempt
Step 1
Concept
If the number of teams is (n), then (\frac{n(n-1)}{2}=28). Solving gives (n=8).
Step 2
Why this answer is correct
The correct answer is A. (8). If the number of teams is (n), then (\frac{n(n-1)}{2}=28). Solving gives (n=8).
Step 3
Exam Tip
यदि टीमों की संख्या (n) है, तो (\frac{n(n-1)}{2}=28)। हल करने पर (n=8) मिलता है।
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ग्राफ में बिंदु ((-8,0)) दिखने पर बहुपद का कौन-सा मान शून्य होगा?
If the point ((-8,0)) appears on the graph, which value of the polynomial input gives zero?
#negative-zero
#coordinate-reading
#x-intercept
#polynomials
A (x=-8)
B (x=8)
C (x=0)
D (x=-1)
Explanation opens after your attempt
Step 1
Concept
The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.
Step 2
Why this answer is correct
The correct answer is A. (x=-8). The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.
Step 3
Exam Tip
((-8,0)) का अर्थ है (x=-8) पर (y=0)। इसलिए (x=-8) बहुपद को शून्य बनाता है।
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एक निर्माण दल पहले दिन (28) घंटे काम करता है और हर अगले दिन (9) घंटे अधिक काम करता है। (15) दिनों में कुल कितने घंटे काम होगा?
A construction team works (28) hours on the first day and (9) more hours each next day. How many hours of work are done in (15) days?
#ap
#word-problem
#construction
#total
A (1335)
B (1365)
C (1385)
D (1415)
Explanation opens after your attempt
Step 1
Concept
The work hours are \(28,37,46,\ldots\) and \(S_{15}=1365\). Exam tip: add all days using the sum formula.
Step 2
Why this answer is correct
The correct answer is B. (1365). The work hours are \(28,37,46,\ldots\) and \(S_{15}=1365\). Exam tip: add all days using the sum formula.
Step 3
Exam Tip
काम के घंटे \(28,37,46,\ldots\) हैं और \(S_{15}=1365\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।
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एक निर्माण दल पहले दिन (25) घंटे काम करता है और हर अगले दिन (7) घंटे अधिक काम करता है। (13) दिनों में कुल कितने घंटे काम होगा?
A construction team works (25) hours on the first day and (7) more hours each next day. How many hours of work are done in (13) days?
#ap
#word-problem
#construction
#hours
A (851)
B (861)
C (871)
D (881)
Explanation opens after your attempt
Step 1
Concept
The work hours are \(25,32,39,\ldots\) and \(S_{13}=871\). Exam tip: add all days using the sum formula for total hours.
Step 2
Why this answer is correct
The correct answer is C. (871). The work hours are \(25,32,39,\ldots\) and \(S_{13}=871\). Exam tip: add all days using the sum formula for total hours.
Step 3
Exam Tip
काम के घंटे \(25,32,39,\ldots\) हैं और \(S_{13}=871\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।
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एक निर्माण दल पहले दिन (20) घंटे काम करता है और हर अगले दिन (5) घंटे अधिक काम करता है। (14) दिनों में कुल कितने घंटे काम होगा?
A construction team works (20) hours on the first day and (5) more hours each next day. How many hours of work are done in (14) days?
#ap
#word-problem
#construction
#hours
A (690)
B (705)
C (720)
D (735)
Explanation opens after your attempt
Step 1
Concept
The work hours are \(20,25,30,\ldots\) and \(S_{14}=735\). Exam tip: add all days using the sum formula for total hours.
Step 2
Why this answer is correct
The correct answer is D. (735). The work hours are \(20,25,30,\ldots\) and \(S_{14}=735\). Exam tip: add all days using the sum formula for total hours.
Step 3
Exam Tip
काम के घंटे \(20,25,30,\ldots\) हैं और \(S_{14}=735\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।
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एक निर्माण दल पहले दिन (16) घंटे काम करता है और हर अगले दिन (4) घंटे अधिक काम करता है। (13) दिनों में कुल कितने घंटे काम होगा?
A construction team works (16) hours on the first day and (4) more hours each next day. How many hours of work are done in (13) days?
#ap
#word-problem
#construction
#hours
A (500)
B (510)
C (520)
D (530)
Explanation opens after your attempt
Step 1
Concept
The work hours are \(16,20,24,\ldots\) and \(S_{13}=520\). Exam tip: add all days using the sum formula for total hours.
Step 2
Why this answer is correct
The correct answer is C. (520). The work hours are \(16,20,24,\ldots\) and \(S_{13}=520\). Exam tip: add all days using the sum formula for total hours.
Step 3
Exam Tip
काम के घंटे \(16,20,24,\ldots\) हैं और \(S_{13}=520\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।
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एक निर्माण दल पहले दिन (10) घंटे काम करता है और हर अगले दिन (2) घंटे अधिक काम करता है। (12) दिनों में कुल कितने घंटे काम होगा?
A construction team works (10) hours on the first day and (2) more hours each next day. How many hours of work are done in (12) days?
#ap
#word-problem
#construction
A (240)
B (252)
C (264)
D (276)
Explanation opens after your attempt
Step 1
Concept
The work hours are \(10,12,14,\ldots\) and \(S_{12}=252\). Exam tip: add all days using the sum formula for total hours.
Step 2
Why this answer is correct
The correct answer is B. (252). The work hours are \(10,12,14,\ldots\) and \(S_{12}=252\). Exam tip: add all days using the sum formula for total hours.
Step 3
Exam Tip
काम के घंटे \(10,12,14,\ldots\) हैं और \(S_{12}=252\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।
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एक निर्माण दल पहले दिन (12) घंटे काम करता है और हर अगले दिन (3) घंटे अधिक काम करता है। (9) दिनों में कुल कितने घंटे काम होगा?
A construction team works (12) hours on the first day and (3) more hours each next day. How many hours of work are done in (9) days?
#ap
#word-problem
#construction
A (204)
B (216)
C (224)
D (232)
Explanation opens after your attempt
Step 1
Concept
The work hours are \(12,15,18,\ldots\) and \(S_9=216\). Exam tip: add all days using the sum formula for total hours.
Step 2
Why this answer is correct
The correct answer is B. (216). The work hours are \(12,15,18,\ldots\) and \(S_9=216\). Exam tip: add all days using the sum formula for total hours.
Step 3
Exam Tip
काम के घंटे \(12,15,18,\ldots\) हैं और \(S_9=216\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।
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एक निर्माण दल पहले दिन (8) घंटे काम करता है और हर अगले दिन (4) घंटे अधिक काम करता है। (10) दिनों में कुल कितने घंटे काम होगा?
A construction team works (8) hours on the first day and (4) more hours each next day. How many hours of work are done in (10) days?
#ap
#word-problem
#construction
A (260)
B (270)
C (280)
D (290)
Explanation opens after your attempt
Step 1
Concept
The work hours are \(8,12,16,\ldots\) and \(S_{10}=260\). Exam tip: add all days using the sum formula for total hours.
Step 2
Why this answer is correct
The correct answer is A. (260). The work hours are \(8,12,16,\ldots\) and \(S_{10}=260\). Exam tip: add all days using the sum formula for total hours.
Step 3
Exam Tip
काम के घंटे \(8,12,16,\ldots\) हैं और \(S_{10}=260\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।
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(q(x)=x-3 +2x-2 -5x-6) के लिए (q(-2)) क्या होगा?
For (q(x)=x-3 +2x-2 -5x-6), what is (q(-2))?
#evaluation
#negative input
#cubic
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
(q(-2)=-8+8+10-6=4). Check the sign of every term separately when substituting a negative value.
Step 2
Why this answer is correct
The correct answer is C. (4). (q(-2)=-8+8+10-6=4). Check the sign of every term separately when substituting a negative value.
Step 3
Exam Tip
(q(-2)=-8+8+10-6=4)। ऋणात्मक मान रखते समय प्रत्येक पद का संकेत अलग जांचें।
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यदि (p(x)=x-2 +x) है, तो (p(-1)) क्या होगा?
If (p(x)=x-2 +x), what is (p(-1))?
#polynomials
#value
#negative-input
#easy
A (0)
B (-1)
C (1)
D (2)
Explanation opens after your attempt
Step 1
Concept
(p(-1)=(-1)2 +(-1)=1-1=0). The square of a negative number is positive.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(-1)=(-1)2 +(-1)=1-1=0). The square of a negative number is positive.
Step 3
Exam Tip
(p(-1)=(-1)2 +(-1)=1-1=0) है। ऋणात्मक संख्या का वर्ग धनात्मक होता है।
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(p(x)=x-2 +2x+1) में (p(0)) का मान क्या है?
For (p(x)=x-2 +2x+1), what is (p(0))?
#polynomials
#value
#easy
#zero-input
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
(p(0)=02 +2\cdot0+1=1). When (x=0), only the constant term remains.
Step 2
Why this answer is correct
The correct answer is B. (1). (p(0)=02 +2\cdot0+1=1). When (x=0), only the constant term remains.
Step 3
Exam Tip
(p(0)=02 +2\cdot0+1=1) है। (x=0) रखने पर केवल नियत पद बचता है।
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यदि (p(x)=x-2 -2x-2) है, तो (p\(1+\sqrt{3}\)) क्या है?
If (p(x)=x-2 -2x-2), what is (p\(1+\sqrt{3}\))?
#polynomial-evaluation
#irrational-input
#zero
A (0)
B \(2\sqrt{3}\)
C (-2)
D (3)
Explanation opens after your attempt
Step 1
Concept
(\(1+\sqrt{3}\)2 -2\(1+\sqrt{3}\)-2=1+2\sqrt{3}+3-2-2\sqrt{3}-2=0). Do not forget the middle term while expanding the square.
Step 2
Why this answer is correct
The correct answer is A. (0). (\(1+\sqrt{3}\)2 -2\(1+\sqrt{3}\)-2=1+2\sqrt{3}+3-2-2\sqrt{3}-2=0). Do not forget the middle term while expanding the square.
Step 3
Exam Tip
(\(1+\sqrt{3}\)2 -2\(1+\sqrt{3}\)-2=1+2\sqrt{3}+3-2-2\sqrt{3}-2=0)। वर्ग खोलते समय बीच का पद न भूलें।
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यदि (p\(\sqrt{5}\)=0) और (p(x)=x-2 +ax-5) है, तो (a) का मान क्या है?
If (p\(\sqrt{5}\)=0) and (p(x)=x-2 +ax-5), what is the value of (a)?
#polynomial-value
#parameter
#irrational-input
A (0)
B \(\sqrt{5}\)
C \(-\sqrt{5}\)
D (5)
Explanation opens after your attempt
Step 1
Concept
Substitution gives \(5+a\sqrt{5}-5=0\), so \(a\sqrt{5}=0\) and (a=0). Simplify like terms first while substituting.
Step 2
Why this answer is correct
The correct answer is A. (0). Substitution gives \(5+a\sqrt{5}-5=0\), so \(a\sqrt{5}=0\) and (a=0). Simplify like terms first while substituting.
Step 3
Exam Tip
रखने पर \(5+a\sqrt{5}-5=0\), इसलिए \(a\sqrt{5}=0\) और (a=0)। मान रखते समय समान पद पहले सरल करें।
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यदि (p(x)=x-2 -2x-2) है, तो (p\(\sqrt{2}\)) का मान क्या है?
If (p(x)=x-2 -2x-2), what is the value of (p\(\sqrt{2}\))?
#evaluation
#irrational-input
#polynomial
A \(-2\sqrt{2}\)
B (0)
C \(2\sqrt{2}\)
D (-4)
Explanation opens after your attempt
Correct Answer
A. \(-2\sqrt{2}\)
Step 1
Concept
(p\(\sqrt{2}\)=\(\sqrt{2}\)2 -2\sqrt{2}-2=2-2\sqrt{2}-2=-2\sqrt{2}). When substituting, write (\(\sqrt{2}\)2 =2).
Step 2
Why this answer is correct
The correct answer is A. \(-2\sqrt{2}\). (p\(\sqrt{2}\)=\(\sqrt{2}\)2 -2\sqrt{2}-2=2-2\sqrt{2}-2=-2\sqrt{2}). When substituting, write (\(\sqrt{2}\)2 =2).
Step 3
Exam Tip
(p\(\sqrt{2}\)=\(\sqrt{2}\)2 -2\sqrt{2}-2=2-2\sqrt{2}-2=-2\sqrt{2}) है। मान रखते समय (\(\sqrt{2}\)2 =2) लिखें।
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