(3x+5) में चर कौन-सा है?
Which is the variable in (3x+5)?
#algebra
#variable
#basic
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3)
B (x)
C (5)
D (3x)
Explanation opens after your attempt
Step 1
Concept
A variable is a quantity whose value can change. In exams identify the letter part first.
Step 2
Why this answer is correct
The correct answer is B. (x). A variable is a quantity whose value can change. In exams identify the letter part first.
Step 3
Exam Tip
चर वह राशि है जिसका मान बदल सकता है। परीक्षा में अक्षर वाले भाग को पहले पहचानें।
Login to save your score, XP, coins and progress. Login
(7a) में (a) का गुणांक क्या है?
What is the coefficient of (a) in (7a)?
#algebra
#coefficient
#monomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (7)
C (a)
D (0)
Explanation opens after your attempt
Step 1
Concept
The number multiplying the variable is called the coefficient. In a monomial take the numerical part as coefficient.
Step 2
Why this answer is correct
The correct answer is B. (7). The number multiplying the variable is called the coefficient. In a monomial take the numerical part as coefficient.
Step 3
Exam Tip
चर के साथ गुणा होने वाली संख्या गुणांक कहलाती है। एकपदी में संख्या भाग को गुणांक मानें।
Login to save your score, XP, coins and progress. Login
(4p-9) में स्थिर पद कौन-सा है?
Which is the constant term in (4p-9)?
#algebra
#constant
#terms
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (4p)
B (p)
C (-9)
D (4)
Explanation opens after your attempt
Step 1
Concept
A constant term has no variable. Always read the term with its sign.
Step 2
Why this answer is correct
The correct answer is C. (-9). A constant term has no variable. Always read the term with its sign.
Step 3
Exam Tip
स्थिर पद में कोई चर नहीं होता है। चिह्न के साथ पद को पढ़ना जरूरी है।
Login to save your score, XP, coins and progress. Login
(2x+3x) का सरल रूप क्या है?
What is the simplified form of (2x+3x)?
#algebra
#like_terms
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (5x)
B (6x)
C \(x^5\)
D \(5x^2\)
Explanation opens after your attempt
Step 1
Concept
Coefficients of like terms are added. If the variable part is same add only the numerical part.
Step 2
Why this answer is correct
The correct answer is A. (5x). Coefficients of like terms are added. If the variable part is same add only the numerical part.
Step 3
Exam Tip
समान पदों के गुणांक जोड़े जाते हैं। चर भाग समान रहे तो केवल संख्या भाग जोड़ें।
Login to save your score, XP, coins and progress. Login
(9y-4y) का मान क्या होगा?
What is the value of (9y-4y)?
#algebra
#like_terms
#subtraction
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (13y)
B (5y)
C (36y)
D \(5y^2\)
Explanation opens after your attempt
Step 1
Concept
(9y) and (4y) are like terms so their coefficients are subtracted. In exams watch the sign carefully.
Step 2
Why this answer is correct
The correct answer is B. (5y). (9y) and (4y) are like terms so their coefficients are subtracted. In exams watch the sign carefully.
Step 3
Exam Tip
(9y) और (4y) समान पद हैं इसलिए गुणांक घटेंगे। परीक्षा में घटाव में चिह्न पर ध्यान दें।
Login to save your score, XP, coins and progress. Login
(x+x+x+x) किसके बराबर है?
(x+x+x+x) is equal to which expression?
#algebra
#repeated_addition
#expression
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^4\)
B (4x)
C (4+x)
D (x+4)
Explanation opens after your attempt
Step 1
Concept
Repeated addition of the same variable becomes multiplication. Adding (x) four times gives (4x).
Step 2
Why this answer is correct
The correct answer is B. (4x). Repeated addition of the same variable becomes multiplication. Adding (x) four times gives (4x).
Step 3
Exam Tip
एक ही चर का बार-बार जोड़ गुणा में बदलता है। (4) बार (x) जोड़ने पर (4x) मिलता है।
Login to save your score, XP, coins and progress. Login
यदि (x=6) हो तो (x+8) का मान क्या होगा?
If (x=6) then what is the value of (x+8)?
#algebra
#substitution
#evaluation
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (12)
B (14)
C (16)
D (48)
Explanation opens after your attempt
Step 1
Concept
Substituting (6) for (x) gives (6+8=14). Substitute first while evaluating.
Step 2
Why this answer is correct
The correct answer is B. (14). Substituting (6) for (x) gives (6+8=14). Substitute first while evaluating.
Step 3
Exam Tip
(x) के स्थान पर (6) रखने से (6+8=14) मिलता है। मान निकालते समय पहले प्रतिस्थापन करें।
Login to save your score, XP, coins and progress. Login
यदि (a=5) हो तो (3a) का मान क्या है?
If (a=5) then what is the value of (3a)?
#algebra
#substitution
#multiplication
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (8)
B (15)
C (35)
D (2)
Explanation opens after your attempt
Step 1
Concept
(3a) means \(3\times a\). So \(3\times5=15\).
Step 2
Why this answer is correct
The correct answer is B. (15). (3a) means \(3\times a\). So \(3\times5=15\).
Step 3
Exam Tip
(3a) का अर्थ \(3\times a\) है। इसलिए \(3\times5=15\) होगा।
Login to save your score, XP, coins and progress. Login
(2m+7) में कितने पद हैं?
How many terms are there in (2m+7)?
#algebra
#terms
#expression
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (7)
Explanation opens after your attempt
Step 1
Concept
Terms are separated by (+) or (-) signs. Here (2m) and (7) are two terms.
Step 2
Why this answer is correct
The correct answer is B. (2). Terms are separated by (+) or (-) signs. Here (2m) and (7) are two terms.
Step 3
Exam Tip
पद (+) या (-) चिह्नों से अलग होते हैं। यहाँ (2m) और (7) दो पद हैं।
Login to save your score, XP, coins and progress. Login
\(5x^2\) किस प्रकार का बीजीय व्यंजक है?
What type of algebraic expression is \(5x^2\)?
#algebra
#monomial
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A एकपदी / Monomial
B द्विपदी / Binomial
C त्रिपदी / Trinomial
D समीकरण / Equation
Explanation opens after your attempt
Correct Answer
A. एकपदी / Monomial
Step 1
Concept
An expression with one term is called a monomial. Identify the type by counting terms.
Step 2
Why this answer is correct
The correct answer is A. एकपदी / Monomial. An expression with one term is called a monomial. Identify the type by counting terms.
Step 3
Exam Tip
एक पद वाला व्यंजक एकपदी कहलाता है। पदों की संख्या देखकर प्रकार पहचानें।
Login to save your score, XP, coins and progress. Login
(p+q) किस प्रकार का व्यंजक है?
What type of expression is (p+q)?
#algebra
#binomial
#classification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A एकपदी / Monomial
B द्विपदी / Binomial
C त्रिपदी / Trinomial
D स्थिरांक / Constant
Explanation opens after your attempt
Correct Answer
B. द्विपदी / Binomial
Step 1
Concept
(p+q) has two terms so it is a binomial. Count the terms separately.
Step 2
Why this answer is correct
The correct answer is B. द्विपदी / Binomial. (p+q) has two terms so it is a binomial. Count the terms separately.
Step 3
Exam Tip
(p+q) में दो पद हैं इसलिए यह द्विपदी है। पदों को अलग-अलग गिनें।
Login to save your score, XP, coins and progress. Login
(a+b+c) में पदों की संख्या कितनी है?
How many terms are there in (a+b+c)?
#algebra
#trinomial
#terms
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
(a), (b), and (c) are three separate terms. Count the terms separated by plus signs.
Step 2
Why this answer is correct
The correct answer is C. (3). (a), (b), and (c) are three separate terms. Count the terms separated by plus signs.
Step 3
Exam Tip
(a), (b), और (c) तीन अलग पद हैं। जोड़ चिह्नों से अलग पदों को गिनें।
Login to save your score, XP, coins and progress. Login
\(2x^2+3x+1\) की घात क्या है?
What is the degree of \(2x^2+3x+1\)?
#algebra
#polynomial
#degree
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
The degree of a polynomial is the highest power of the variable. Here the highest power is (2).
Step 2
Why this answer is correct
The correct answer is B. (2). The degree of a polynomial is the highest power of the variable. Here the highest power is (2).
Step 3
Exam Tip
बहुपद की घात चर की सबसे बड़ी घात होती है। यहाँ सबसे बड़ी घात (2) है।
Login to save your score, XP, coins and progress. Login
(8) को बीजीय रूप में किस प्रकार माना जाएगा?
How is (8) treated in algebraic form?
#algebra
#constant
#basic
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A चर / Variable
B द्विपदी / Binomial
C स्थिरांक / Constant
D समान पद / Like term
Explanation opens after your attempt
Correct Answer
C. स्थिरांक / Constant
Step 1
Concept
The value of (8) does not change so it is a constant. A number without a variable is a constant.
Step 2
Why this answer is correct
The correct answer is C. स्थिरांक / Constant. The value of (8) does not change so it is a constant. A number without a variable is a constant.
Step 3
Exam Tip
(8) का मान बदलता नहीं है इसलिए यह स्थिरांक है। बिना चर वाली संख्या को स्थिरांक पहचानें।
Login to save your score, XP, coins and progress. Login
(6x) और (6y) कैसे पद हैं?
What kind of terms are (6x) and (6y)?
#algebra
#unlike_terms
#terms
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A समान पद / Like terms
B असमान पद / Unlike terms
C स्थिर पद / Constant terms
D शून्य पद / Zero terms
Explanation opens after your attempt
Correct Answer
B. असमान पद / Unlike terms
Step 1
Concept
The variable parts are different so these are unlike terms. Like terms must have the same variables and powers.
Step 2
Why this answer is correct
The correct answer is B. असमान पद / Unlike terms. The variable parts are different so these are unlike terms. Like terms must have the same variables and powers.
Step 3
Exam Tip
चर भाग अलग हैं इसलिए ये असमान पद हैं। समान पदों में चर और उनकी घात समान होनी चाहिए।
Login to save your score, XP, coins and progress. Login
(4a) और (-2a) कैसे पद हैं?
What kind of terms are (4a) and (-2a)?
#algebra
#like_terms
#identification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A असमान पद / Unlike terms
B समान पद / Like terms
C स्थिर पद / Constant terms
D द्विपद / Binomial
Explanation opens after your attempt
Correct Answer
B. समान पद / Like terms
Step 1
Concept
Both terms have the variable part (a) so they are like terms. Different coefficients do not change that.
Step 2
Why this answer is correct
The correct answer is B. समान पद / Like terms. Both terms have the variable part (a) so they are like terms. Different coefficients do not change that.
Step 3
Exam Tip
दोनों पदों का चर भाग (a) है इसलिए ये समान पद हैं। गुणांक अलग होने से समानता नहीं बदलती।
Login to save your score, XP, coins and progress. Login
(10z) का संख्यात्मक गुणांक क्या है?
What is the numerical coefficient of (10z)?
#algebra
#coefficient
#basic
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (z)
B (10)
C (10z)
D (0)
Explanation opens after your attempt
Step 1
Concept
The numerical coefficient is the number attached to the variable. Here (10) is attached to (z).
Step 2
Why this answer is correct
The correct answer is B. (10). The numerical coefficient is the number attached to the variable. Here (10) is attached to (z).
Step 3
Exam Tip
संख्यात्मक गुणांक चर के साथ लगी संख्या होती है। यहाँ (z) के साथ (10) है।
Login to save your score, XP, coins and progress. Login
\(x^2\cdot x^3\) का सरल रूप क्या है?
What is the simplified form of \(x^2\cdot x^3\)?
#algebra
#exponents
#laws
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^5\)
B \(x^6\)
C \(x^1\)
D \(2x^3\)
Explanation opens after your attempt
Correct Answer
A. \(x^5\)
Step 1
Concept
When multiplying same bases powers are added. Therefore \(x^2\cdot x^3=x^5\).
Step 2
Why this answer is correct
The correct answer is A. \(x^5\). When multiplying same bases powers are added. Therefore \(x^2\cdot x^3=x^5\).
Step 3
Exam Tip
समान आधार में गुणा करते समय घातें जुड़ती हैं। इसलिए \(x^2\cdot x^3=x^5\)।
Login to save your score, XP, coins and progress. Login
\(\frac{x^6}{x^2}\) का सरल रूप क्या है?
What is the simplified form of \(\frac{x^6}{x^2}\)?
#algebra
#exponents
#division
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^8\)
B \(x^4\)
C \(x^3\)
D \(x^{12}\)
Explanation opens after your attempt
Correct Answer
B. \(x^4\)
Step 1
Concept
When dividing same bases powers are subtracted. Here (6-2=4).
Step 2
Why this answer is correct
The correct answer is B. \(x^4\). When dividing same bases powers are subtracted. Here (6-2=4).
Step 3
Exam Tip
समान आधार में भाग करते समय घातें घटती हैं। यहाँ (6-2=4) है।
Login to save your score, XP, coins and progress. Login
((x)0 ) का मान क्या है जब \(x\neq0\)?
What is the value of ((x)0 ) when \(x\neq0\)?
#algebra
#zero_power
#exponents
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0)
B (1)
C (x)
D (-1)
Explanation opens after your attempt
Step 1
Concept
Any non-zero number or variable raised to zero is (1). This is a direct use of exponent law.
Step 2
Why this answer is correct
The correct answer is B. (1). Any non-zero number or variable raised to zero is (1). This is a direct use of exponent law.
Step 3
Exam Tip
किसी भी अशून्य संख्या या चर की शून्य घात (1) होती है। यह घात नियम का सीधा प्रयोग है।
Login to save your score, XP, coins and progress. Login
यदि (y=4) हो तो \(y^2\) का मान क्या है?
If (y=4) then what is the value of \(y^2\)?
#algebra
#substitution
#powers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (8)
B (12)
C (16)
D (6)
Explanation opens after your attempt
Step 1
Concept
In \(y^2\), \(4^2=16\). Power means repeated multiplication.
Step 2
Why this answer is correct
The correct answer is C. (16). In \(y^2\), \(4^2=16\). Power means repeated multiplication.
Step 3
Exam Tip
\(y^2\) में \(4^2=16\) होगा। घात का अर्थ बार-बार गुणा होता है।
Login to save your score, XP, coins and progress. Login
(2(x+3)) का विस्तृत रूप क्या है?
What is the expanded form of (2(x+3))?
#algebra
#expansion
#distributive_law
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2x+3)
B (x+6)
C (2x+6)
D (5x)
Explanation opens after your attempt
Step 1
Concept
Multiply (2) with both terms inside the bracket. So we get (2x+6).
Step 2
Why this answer is correct
The correct answer is C. (2x+6). Multiply (2) with both terms inside the bracket. So we get (2x+6).
Step 3
Exam Tip
(2) को कोष्ठक के दोनों पदों से गुणा करें। इसलिए (2x+6) प्राप्त होता है।
Login to save your score, XP, coins and progress. Login
(3(a-2)) का सही विस्तारण क्या है?
What is the correct expansion of (3(a-2))?
#algebra
#expansion
#brackets
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3a-6)
B (3a-2)
C (a-6)
D (3a+6)
Explanation opens after your attempt
Step 1
Concept
Multiply (3) by both (a) and (-2). Do not miss the negative sign.
Step 2
Why this answer is correct
The correct answer is A. (3a-6). Multiply (3) by both (a) and (-2). Do not miss the negative sign.
Step 3
Exam Tip
(3) को (a) और (-2) दोनों से गुणा करें। ऋण चिह्न को न छोड़ें।
Login to save your score, XP, coins and progress. Login
(5(x-1)+2x) का सरल रूप क्या है?
What is the simplified form of (5(x-1)+2x)?
#algebra
#simplification
#expansion
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (7x-5)
B (5x+2)
C (7x+5)
D (3x-5)
Explanation opens after your attempt
Step 1
Concept
First get (5x-5) then add (2x). Combine like terms at the end.
Step 2
Why this answer is correct
The correct answer is A. (7x-5). First get (5x-5) then add (2x). Combine like terms at the end.
Step 3
Exam Tip
पहले (5x-5) मिलेगा फिर (2x) जोड़ें। समान पदों को अंत में मिलाएँ।
Login to save your score, XP, coins and progress. Login
(a+a+2a) का सरल रूप क्या है?
What is the simplified form of (a+a+2a)?
#algebra
#like_terms
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3a)
B (4a)
C \(2a^2\)
D \(a^4\)
Explanation opens after your attempt
Step 1
Concept
The coefficient of (a) is (1). So (1a+1a+2a=4a).
Step 2
Why this answer is correct
The correct answer is B. (4a). The coefficient of (a) is (1). So (1a+1a+2a=4a).
Step 3
Exam Tip
(a) का गुणांक (1) होता है। (1a+1a+2a=4a) होगा।
Login to save your score, XP, coins and progress. Login
(6u+2v) और (3u+5v) को जोड़ने पर क्या मिलेगा?
What is obtained by adding (6u+2v) and (3u+5v)?
#algebra
#addition
#like_terms
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (9u+7v)
B (9uv+7)
C (3u+3v)
D (18u+10v)
Explanation opens after your attempt
Correct Answer
A. (9u+7v)
Step 1
Concept
Add the (u)-terms and (v)-terms separately. This gives (9u+7v).
Step 2
Why this answer is correct
The correct answer is A. (9u+7v). Add the (u)-terms and (v)-terms separately. This gives (9u+7v).
Step 3
Exam Tip
(u) वाले और (v) वाले समान पद अलग-अलग जोड़ें। इससे (9u+7v) मिलता है।
Login to save your score, XP, coins and progress. Login
((8x+1)-(3x+1)) का सरल रूप क्या है?
What is the simplified form of ((8x+1)-(3x+1))?
#algebra
#subtraction
#expressions
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (5x)
B (11x+2)
C (5x+2)
D (5x-2)
Explanation opens after your attempt
Step 1
Concept
Change the signs of the second bracket while subtracting. (8x+1-3x-1=5x).
Step 2
Why this answer is correct
The correct answer is A. (5x). Change the signs of the second bracket while subtracting. (8x+1-3x-1=5x).
Step 3
Exam Tip
दूसरे कोष्ठक के चिह्न बदलकर घटाएँ। (8x+1-3x-1=5x) होगा।
Login to save your score, XP, coins and progress. Login
(x+5=12) में (x) का मान क्या है?
What is the value of (x) in (x+5=12)?
#algebra
#linear_equation
#solution
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (5)
B (7)
C (12)
D (17)
Explanation opens after your attempt
Step 1
Concept
Subtracting (5) from both sides gives (x=7). Keep the equation balanced.
Step 2
Why this answer is correct
The correct answer is B. (7). Subtracting (5) from both sides gives (x=7). Keep the equation balanced.
Step 3
Exam Tip
दोनों ओर से (5) घटाने पर (x=7) मिलता है। समीकरण में संतुलन बनाए रखें।
Login to save your score, XP, coins and progress. Login
(m-4 =9) में (m) का मान क्या है?
What is the value of (m) in (m-4 =9)?
#algebra
#linear_equation
#addition
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (5)
B (13)
C (36)
D (-13)
Explanation opens after your attempt
Step 1
Concept
Adding (4) to both sides gives (m=13). Use the inverse operation.
Step 2
Why this answer is correct
The correct answer is B. (13). Adding (4) to both sides gives (m=13). Use the inverse operation.
Step 3
Exam Tip
दोनों ओर (4) जोड़ने पर (m=13) मिलता है। उल्टा ऑपरेशन प्रयोग करें।
Login to save your score, XP, coins and progress. Login
(2t=18) में (t) का मान क्या है?
What is the value of (t) in (2t=18)?
#algebra
#linear_equation
#division
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (8)
B (9)
C (16)
D (20)
Explanation opens after your attempt
Step 1
Concept
Dividing both sides by (2) gives (t=9). Divide to undo multiplication.
Step 2
Why this answer is correct
The correct answer is B. (9). Dividing both sides by (2) gives (t=9). Divide to undo multiplication.
Step 3
Exam Tip
दोनों ओर (2) से भाग देने पर (t=9) मिलता है। गुणा को हटाने के लिए भाग करें।
Login to save your score, XP, coins and progress. Login
\(\frac{n}{3}=6\) में (n) का मान क्या है?
What is the value of (n) in \(\frac{n}{3}=6\)?
#algebra
#linear_equation
#fraction
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B (9)
C (18)
D (36)
Explanation opens after your attempt
Step 1
Concept
Multiplying both sides by (3) gives (n=18). Multiply by the denominator to remove the fraction.
Step 2
Why this answer is correct
The correct answer is C. (18). Multiplying both sides by (3) gives (n=18). Multiply by the denominator to remove the fraction.
Step 3
Exam Tip
दोनों ओर (3) से गुणा करने पर (n=18) मिलता है। भिन्न हटाने के लिए हर से गुणा करें।
Login to save your score, XP, coins and progress. Login
(3p-2=10) में (p) का मान क्या है?
What is the value of (p) in (3p-2=10)?
#algebra
#linear_equation
#two_step
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
First add (2) then divide by (3). From (3p=12), (p=4).
Step 2
Why this answer is correct
The correct answer is C. (4). First add (2) then divide by (3). From (3p=12), (p=4).
Step 3
Exam Tip
पहले (2) जोड़ें फिर (3) से भाग दें। (3p=12) से (p=4) मिलेगा।
Login to save your score, XP, coins and progress. Login
\(x^2+2x+1\) किस पहचान से जुड़ा है?
Which identity is related to \(x^2+2x+1\)?
#algebra
#identity
#square
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ((x+1)2 )
B ((x-1)2 )
C \(x^2-1\)
D (2x+1)
Explanation opens after your attempt
Correct Answer
A. ((x+1)2 )
Step 1
Concept
This is the form (a-2 +2ab+b-2 =(a+b)2 ). Check the sign of the middle term in identities.
Step 2
Why this answer is correct
The correct answer is A. ((x+1)2 ). This is the form (a-2 +2ab+b-2 =(a+b)2 ). Check the sign of the middle term in identities.
Step 3
Exam Tip
यह (a-2 +2ab+b-2 =(a+b)2 ) का रूप है। पहचान में मध्य पद के चिह्न को देखें।
Login to save your score, XP, coins and progress. Login
((a+b)2 ) का सूत्र क्या है?
What is the formula for ((a+b)2 )?
#algebra
#identity
#formula
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(a^2+b^2\)
B \(a^2+2ab+b^2\)
C \(a^2-2ab+b^2\)
D \(a^2-b^2\)
Explanation opens after your attempt
Correct Answer
B. \(a^2+2ab+b^2\)
Step 1
Concept
In ((a+b)2 ), the middle term is (+2ab). Remember identities with signs.
Step 2
Why this answer is correct
The correct answer is B. \(a^2+2ab+b^2\). In ((a+b)2 ), the middle term is (+2ab). Remember identities with signs.
Step 3
Exam Tip
((a+b)2 ) में मध्य पद (+2ab) होता है। सूत्रों को चिह्न सहित याद करें।
Login to save your score, XP, coins and progress. Login
((a-b)2 ) का सही विस्तार कौन-सा है?
Which is the correct expansion of ((a-b)2 )?
#algebra
#identity
#formula
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(a^2+b^2\)
B \(a^2-2ab+b^2\)
C \(a^2+2ab+b^2\)
D \(a^2-b^2\)
Explanation opens after your attempt
Correct Answer
B. \(a^2-2ab+b^2\)
Step 1
Concept
In ((a-b)2 ), the middle term is (-2ab). Never ignore the negative sign.
Step 2
Why this answer is correct
The correct answer is B. \(a^2-2ab+b^2\). In ((a-b)2 ), the middle term is (-2ab). Never ignore the negative sign.
Step 3
Exam Tip
((a-b)2 ) में मध्य पद (-2ab) होता है। ऋण चिह्न को कभी न छोड़ें।
Login to save your score, XP, coins and progress. Login
((a+b)(a-b)) किसके बराबर है?
((a+b)(a-b)) is equal to what?
#algebra
#identity
#difference_of_squares
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(a^2+b^2\)
B \(a^2-b^2\)
C \(a^2+2ab+b^2\)
D \(a^2-2ab+b^2\)
Explanation opens after your attempt
Correct Answer
B. \(a^2-b^2\)
Step 1
Concept
This is the difference of squares identity. Remember ((a+b)(a-b)=a-2 -b-2 ).
Step 2
Why this answer is correct
The correct answer is B. \(a^2-b^2\). This is the difference of squares identity. Remember ((a+b)(a-b)=a-2 -b-2 ).
Step 3
Exam Tip
यह अंतर वर्ग पहचान है। याद रखें कि ((a+b)(a-b)=a-2 -b-2 )।
Login to save your score, XP, coins and progress. Login
\(9x^2\) का वर्गमूल क्या है?
What is the square root of \(9x^2\)?
#algebra
#square_root
#monomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3x)
B (9x)
C \(3x^2\)
D (81x)
Explanation opens after your attempt
Step 1
Concept
The square root of (9) is (3) and of \(x^2\) is (x). Check both parts in square root.
Step 2
Why this answer is correct
The correct answer is A. (3x). The square root of (9) is (3) and of \(x^2\) is (x). Check both parts in square root.
Step 3
Exam Tip
(9) का वर्गमूल (3) और \(x^2\) का वर्गमूल (x) है। वर्गमूल में दोनों भाग देखें।
Login to save your score, XP, coins and progress. Login
\(25a^2\) किसका वर्ग है?
\(25a^2\) is the square of which expression?
#algebra
#square
#monomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (5a)
B (25a)
C \(5a^2\)
D (10a)
Explanation opens after your attempt
Step 1
Concept
((5a)2 =25a-2 ). In a square both the number and variable powers are squared.
Step 2
Why this answer is correct
The correct answer is A. (5a). ((5a)2 =25a-2 ). In a square both the number and variable powers are squared.
Step 3
Exam Tip
((5a)2 =25a-2 ) होता है। वर्ग में संख्या और चर दोनों की घात दोगुनी होती है।
Login to save your score, XP, coins and progress. Login
\(x^2-16\) का गुणनखंड रूप क्या है?
What is the factorized form of \(x^2-16\)?
#algebra
#factorisation
#difference_of_squares
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ((x-4)(x+4))
B ((x-8)(x+2))
C ((x-4)2 )
D ((x+4)2 )
Explanation opens after your attempt
Correct Answer
A. ((x-4)(x+4))
Step 1
Concept
\(x^2-16=x^2-4^2\). Apply the difference of squares formula.
Step 2
Why this answer is correct
The correct answer is A. ((x-4)(x+4)). \(x^2-16=x^2-4^2\). Apply the difference of squares formula.
Step 3
Exam Tip
\(x^2-16=x^2-4^2\) है। अंतर वर्ग सूत्र लगाएँ।
Login to save your score, XP, coins and progress. Login
(2x+6) का सामान्य गुणनखंड क्या है?
What is the common factor of (2x+6)?
#algebra
#factorisation
#common_factor
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B (3)
C (x)
D (6x)
Explanation opens after your attempt
Step 1
Concept
Both (2x) and (6) have (2) as common. Take out the simplest common factor first.
Step 2
Why this answer is correct
The correct answer is A. (2). Both (2x) and (6) have (2) as common. Take out the simplest common factor first.
Step 3
Exam Tip
(2x) और (6) दोनों में (2) सामान्य है। सबसे सरल सामान्य गुणनखंड पहले निकालें।
Login to save your score, XP, coins and progress. Login
(3a+3b) का गुणनखंड रूप क्या है?
What is the factorized form of (3a+3b)?
#algebra
#factorisation
#common_factor
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3(a+b))
B (a(3+b))
C (b(3+a))
D (3ab)
Explanation opens after your attempt
Correct Answer
A. (3(a+b))
Step 1
Concept
Both terms have (3) in common. Write the common factor outside.
Step 2
Why this answer is correct
The correct answer is A. (3(a+b)). Both terms have (3) in common. Write the common factor outside.
Step 3
Exam Tip
दोनों पदों में (3) सामान्य है। सामान्य गुणनखंड बाहर लिखें।
Login to save your score, XP, coins and progress. Login
(ab+ac) का गुणनखंड रूप क्या है?
What is the factorized form of (ab+ac)?
#algebra
#factorisation
#variables
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (a(b+c))
B (b(a+c))
C (c(a+b))
D (abc)
Explanation opens after your attempt
Correct Answer
A. (a(b+c))
Step 1
Concept
Both terms have (a) in common. Therefore (a(b+c)) is correct.
Step 2
Why this answer is correct
The correct answer is A. (a(b+c)). Both terms have (a) in common. Therefore (a(b+c)) is correct.
Step 3
Exam Tip
दोनों पदों में (a) सामान्य है। इसलिए (a(b+c)) सही रूप है।
Login to save your score, XP, coins and progress. Login
\(x^2+5x\) का गुणनखंड रूप क्या है?
What is the factorized form of \(x^2+5x\)?
#algebra
#factorisation
#common_variable
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (x(x+5))
B (5(x+x))
C (x-2 (1+5))
D (x+5x)
Explanation opens after your attempt
Correct Answer
A. (x(x+5))
Step 1
Concept
Both terms have (x) in common. Taking (x) out gives (x(x+5)).
Step 2
Why this answer is correct
The correct answer is A. (x(x+5)). Both terms have (x) in common. Taking (x) out gives (x(x+5)).
Step 3
Exam Tip
दोनों पदों में (x) सामान्य है। (x) बाहर लेने पर (x(x+5)) मिलता है।
Login to save your score, XP, coins and progress. Login
यदि (r=2) और (s=3) हों तो (r+s) का मान क्या है?
If (r=2) and (s=3), what is the value of (r+s)?
#algebra
#substitution
#two_variables
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (5)
C (6)
D (-1)
Explanation opens after your attempt
Step 1
Concept
Substituting the given values gives (2+3=5). When there are two variables substitute both.
Step 2
Why this answer is correct
The correct answer is B. (5). Substituting the given values gives (2+3=5). When there are two variables substitute both.
Step 3
Exam Tip
दिए गए मान रखने पर (2+3=5) होता है। दो चर हों तो दोनों का प्रतिस्थापन करें।
Login to save your score, XP, coins and progress. Login
यदि (u=7) और (v=2) हों तो (u-v) का मान क्या होगा?
If (u=7) and (v=2), what is the value of (u-v)?
#algebra
#substitution
#subtraction
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (9)
B (5)
C (14)
D (3)
Explanation opens after your attempt
Step 1
Concept
(u-v=7-2=5). In subtraction changing the order can change the answer.
Step 2
Why this answer is correct
The correct answer is B. (5). (u-v=7-2=5). In subtraction changing the order can change the answer.
Step 3
Exam Tip
(u-v=7-2=5) है। घटाव में क्रम बदलने से उत्तर बदल सकता है।
Login to save your score, XP, coins and progress. Login
(4xy) में चरों की संख्या कितनी है?
How many variables are there in (4xy)?
#algebra
#variables
#monomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
In (4xy), the variables are (x) and (y). The number (4) is the coefficient.
Step 2
Why this answer is correct
The correct answer is B. (2). In (4xy), the variables are (x) and (y). The number (4) is the coefficient.
Step 3
Exam Tip
(4xy) में चर (x) और (y) हैं। संख्या (4) गुणांक है।
Login to save your score, XP, coins and progress. Login
(12pq) में संख्यात्मक गुणांक कौन-सा है?
Which is the numerical coefficient in (12pq)?
#algebra
#coefficient
#variables
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (p)
B (q)
C (12)
D (pq)
Explanation opens after your attempt
Step 1
Concept
The numerical coefficient is only the number part. Here (12) is the number part.
Step 2
Why this answer is correct
The correct answer is C. (12). The numerical coefficient is only the number part. Here (12) is the number part.
Step 3
Exam Tip
संख्यात्मक गुणांक केवल संख्या भाग होता है। यहाँ (12) संख्या भाग है।
Login to save your score, XP, coins and progress. Login
\(x^2+3x+2\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(x^2+3x+2\)?
#algebra
#coefficient
#polynomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D \(x^2\)
Explanation opens after your attempt
Step 1
Concept
The term containing (x) is (3x), so the coefficient is (3). Notice the power of the variable asked in the question.
Step 2
Why this answer is correct
The correct answer is C. (3). The term containing (x) is (3x), so the coefficient is (3). Notice the power of the variable asked in the question.
Step 3
Exam Tip
(x) वाला पद (3x) है इसलिए गुणांक (3) है। प्रश्न में पूछे गए चर की घात को ध्यान से देखें।
Login to save your score, XP, coins and progress. Login
\(7x^3+2x^2+x+9\) की घात क्या है?
What is the degree of \(7x^3+2x^2+x+9\)?
#algebra
#degree
#polynomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree of the polynomial is (3). Take the highest power as the answer.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3), so the degree of the polynomial is (3). Take the highest power as the answer.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) होगी। सबसे ऊँची घात को ही उत्तर मानें।
Login to save your score, XP, coins and progress. Login