
Which equation does not have 4 as a solution?
A)
\[\frac{20}{p}=4\] done
clear
B)
\[9p=36\] done
clear
C)
\[14p=10\] done
clear
D)
\[p+5=9\] done
clear
View Solution play_arrow

What is the value of \[a{{x}^{2}}+bx+c\] at \[x=\frac{b}{a}\]?
A)
a done
clear
B)
0 done
clear
C)
c done
clear
D)
\[{{b}^{2}}4ac\] done
clear
View Solution play_arrow

If \[(ab)\] is 6 more than \[(c+d)\] and \[(a+b)\] is less than \[(cd),\] then \[(ac)\] is
A)
0.5 done
clear
B)
1.5 done
clear
C)
1 done
clear
D)
1 done
clear
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Which of the following is an equation?
A)
\[x+1\] done
clear
B)
\[x1\] done
clear
C)
\[x1=0\] done
clear
D)
\[x+1>0\] done
clear
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Which of the following equations has x = 2 as a solution?
A)
\[x+2=5\] done
clear
B)
\[x2=0\] done
clear
C)
\[2x+1=0\] done
clear
D)
\[x+3=6\] done
clear
View Solution play_arrow

In algebra, letters may stand for
A)
known quantities done
clear
B)
unknown quantities done
clear
C)
fixed numbers done
clear
D)
none of these done
clear
View Solution play_arrow

10 ? x means
A)
10 is subtracted x times done
clear
B)
x is subtracted 10 times done
clear
C)
x is subtracted from 10 done
clear
D)
10 is subtracted from x done
clear
View Solution play_arrow

Amulya is x years of age now. 5 years ago her age was
A)
\[(5x)\] years done
clear
B)
\[(5+x)\] years done
clear
C)
\[(x5)\] years done
clear
D)
\[(5\div x)\] years done
clear
View Solution play_arrow

The expression obtained when x is multipled by 2 and then subtracted from 3 is
A)
\[2x3\] done
clear
B)
\[2x+3\] done
clear
C)
\[32x\] done
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D)
\[3x2\] done
clear
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x  4 =  2 has a solution
A)
6 done
clear
B)
2 done
clear
C)
6 done
clear
D)
2 done
clear
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Kanta hasp pencils in her box. She puts q more pencils in the box. The total number of pencils with her are
A)
\[p+q\] done
clear
B)
\[pq\] done
clear
C)
\[pq\] done
clear
D)
\[\frac{p}{q}\] done
clear
View Solution play_arrow

I think of a number and on adding 13 to it, I get 27. The equation for this is
A)
\[x27=13\] done
clear
B)
\[x13=27\] done
clear
C)
\[x+27=13\] done
clear
D)
\[x+13=27\] done
clear
View Solution play_arrow

Ravi bought x cans of water at Rs 1.50 each and y packets of biscuits at Rs 2.70 each. Which of the following expressions shows the total amount Ravi paid, in Rs?
A)
\[150x+270y\] done
clear
B)
\[1.5\,x+2.7y\] done
clear
C)
\[15x+27y\] done
clear
D)
\[0.15x+0.27y\] done
clear
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Solve the following equation and find the value of variable Y in 7x + 4 = 10
A)
\[\frac{6}{7}\] done
clear
B)
? 4 done
clear
C)
? 3 done
clear
D)
? 2 done
clear
View Solution play_arrow

If \[a=3,\,b=5,\,c=ba,\] then which of the following expressions represent 10?
A)
\[(a+c)\times b\] done
clear
B)
\[(a+b)c\] done
clear
C)
\[(b+c)+a\] done
clear
D)
\[(ab)+c\] done
clear
View Solution play_arrow

The sum of two numbers is 19 and one of the numbers is one more than twice the other. Represent this statement in the form of an equation using variable x.
A)
\[x(2x+1)=19\] done
clear
B)
\[x+(2x+1)\,=19\] done
clear
C)
\[x+(2x1)\,=19\] done
clear
D)
\[x\div (2x1)=19\] done
clear
View Solution play_arrow

The product of two numbers is 22500. If one of the numbers is 150. Find the half of the other.
A)
175 done
clear
B)
75 done
clear
C)
85 done
clear
D)
95 done
clear
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\[\frac{1}{5}th\] of a flagpole is black, \[\frac{1}{4}th\] is white and the remaining three metres is painted yellow. Find the length of the flagpole.
A)
\[5\frac{5}{11}m\] done
clear
B)
\[\frac{60}{11}cm\] done
clear
C)
\[5\,km\] done
clear
D)
None of these done
clear
View Solution play_arrow

Amulya is x years of age now. 5 years ago her age was
A)
\[(5x)\] years done
clear
B)
\[(5+x)\] years done
clear
C)
\[(x5)\] years done
clear
D)
\[(5\div x)\] years done
clear
View Solution play_arrow

Which of the following is an equation?
A)
\[x+1\] done
clear
B)
\[x1\] done
clear
C)
\[x1=0\] done
clear
D)
\[x+1>0\] done
clear
View Solution play_arrow

Which of the following equation has x = 2 as a solution?
A)
\[x+2=5\] done
clear
B)
\[x2=0\] done
clear
C)
\[2x+1=0\] done
clear
D)
\[x+3=6\] done
clear
View Solution play_arrow

In algebra, letters may stand for
A)
known quantities done
clear
B)
unknown quantities done
clear
C)
fixed numbers done
clear
D)
none of these done
clear
View Solution play_arrow

10 ? x means
A)
10 is subtracted x times done
clear
B)
x is subtracted 10 times done
clear
C)
x is subtracted from 10 done
clear
D)
10 is subtracted from x done
clear
View Solution play_arrow

Fill in the blanks with the correct word from the given options. An algebraic expression is called a _______ if there is only one term in it.
A)
binomial done
clear
B)
Monomial done
clear
C)
trinomial done
clear
D)
polynomial done
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Trinomial is an algebraic expression with ______ terms.
A)
one done
clear
B)
two done
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C)
three done
clear
D)
four done
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The numerical factor of the term is called
A)
like term done
clear
B)
unlike term done
clear
C)
coefficient done
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D)
polynomial done
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Maximum number of zeroes of a polynomial is equal to its _______.
A)
degree done
clear
B)
term done
clear
C)
coefficient done
clear
D)
factor done
clear
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Directions: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns.
A)
\[A\to p;\,B\to s;\,C\to q;\,D\to r\] done
clear
B)
\[A\to s;\,B\to r;\,C\to q;\,D\to p\] done
clear
C)
\[A\to s;\,B\to r;\,C\to p;\,D\to q\] done
clear
D)
\[A\to q;\,B\to r;\,C\to p;\,D\to s\] done
clear
View Solution play_arrow

Directions: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns.
A)
\[A\to p;B\to s;C\to q;D\to r\] done
clear
B)
\[A\to s;B\to q;C\to r;D\to p\] done
clear
C)
\[A\to r;B\to p;C\to s;D\to q\] done
clear
D)
\[A\to q;B\to r;C\to p;D\to s\] done
clear
View Solution play_arrow

Directions: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns.
A)
\[A\to s;\,B\to q;\,C\to r;\,D\to p\] done
clear
B)
\[A\to r;\,B\to s;\,C\to p;\,D\to q\] done
clear
C)
\[A\to p;\,B\to s;\,C\to q;\,D\to r\] done
clear
D)
\[A\to p;\,B\to q;\,C\to s;\,D\to r\] done
clear
View Solution play_arrow

Directions: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns.
A)
\[A\to p;\,B\to r;\,C\to q;\,D\to s\] done
clear
B)
\[A\to r;\,B\to q;\,C\to p;\,D\to s\] done
clear
C)
\[A\to p;\,B\to s;\,C\to r;\,D\to q\] done
clear
D)
\[A\to q;\,B\to s;\,C\to p;\,D\to r\] done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 1 An algebraic expression is a combination of constants and variables connected by the mathematical operators \[+,\,,\,\times ,\,\div \]. A symbol which can be assigned different numerical values is called variable or literal. A term is a combination of constants and variables connected together by the mathematical operators of multiplication and division. Each term in an algebraic expression is the product of one or more constants and variables. These constants and variables are called the factors of that term. Which of the following is not an algebraic expression?
A)
\[5x+20\] done
clear
B)
\[7x\] done
clear
C)
\[\frac{9x}{3}\] done
clear
D)
2 done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 1 An algebraic expression is a combination of constants and variables connected by the mathematical operators \[+,\,,\,\times ,\,\div \]. A symbol which can be assigned different numerical values is called variable or literal. A term is a combination of constants and variables connected together by the mathematical operators of multiplication and division. Each term in an algebraic expression is the product of one or more constants and variables. These constants and variables are called the factors of that term. If there are x rows of chairs and each row contains \[{{x}^{2}}\] chairs. The total number of chairs is
A)
\[x\] done
clear
B)
\[{{x}^{2}}\] done
clear
C)
\[x+{{x}^{2}}\] done
clear
D)
\[{{x}^{3}}\] done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 1 An algebraic expression is a combination of constants and variables connected by the mathematical operators \[+,\,,\,\times ,\,\div \]. A symbol which can be assigned different numerical values is called variable or literal. A term is a combination of constants and variables connected together by the mathematical operators of multiplication and division. Each term in an algebraic expression is the product of one or more constants and variables. These constants and variables are called the factors of that term. Which of the following is incorrect?
A)
An algebraic expression will have at least two terms. done
clear
B)
Several unlike terms connected by + or  are called algebraic expressions. done
clear
C)
\[3{{a}^{2}}bc\] is a term as well as expression. done
clear
D)
In \[4{{x}^{2}}+y,\,4{{x}^{2}}y\] and y are both terms of the expression. done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 1 An algebraic expression is a combination of constants and variables connected by the mathematical operators \[+,\,,\,\times ,\,\div \]. A symbol which can be assigned different numerical values is called variable or literal. A term is a combination of constants and variables connected together by the mathematical operators of multiplication and division. Each term in an algebraic expression is the product of one or more constants and variables. These constants and variables are called the factors of that term. In algebra, letters may stand for
A)
known quantities done
clear
B)
unknown quantities done
clear
C)
fixed numbers done
clear
D)
None of these done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 2 Rahul's mother's age is 5 years less than four times his age. Write an algebraic expression for the given situation (using 'x' as variable).
A)
\[54x\] done
clear
B)
\[4x+5\] done
clear
C)
\[4x5\] done
clear
D)
\[4(x+5)\] done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 2 Rahul's mother's age is 5 years less than four times his age. Five years from now, what will be the age of Kabul's mother?
A)
\[4x+5\] years done
clear
B)
4x + 10 years done
clear
C)
\[10x5\] years done
clear
D)
4x years done
clear
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DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 2 Rahul's mother's age is 5 years less than four times his age. What is his mother's age if his present age is 11 years old?
A)
44 years done
clear
B)
39 years done
clear
C)
49 years done
clear
D)
45 years done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 3 Sally's mass is w kg. Her mother is 6 times as heavy. Her brother's mass is \[\frac{1}{3}\] her mother's mass. Sally's brother's mass is
A)
\[\frac{1}{3}\,w\,kg\] done
clear
B)
\[2\,w\,kg\] done
clear
C)
\[6\,w\,kg\] done
clear
D)
\[\frac{2}{3}\,w\,kg\] done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 3 Sally's mass is w kg. Her mother is 6 times as heavy. Her brother's mass is \[\frac{1}{3}\] her mother's mass. What is their total mass?
A)
6wkg done
clear
B)
7wkg done
clear
C)
9wkg done
clear
D)
\[\frac{1}{3}w\,kg\] done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 3 Sally's mass is w kg. Her mother is 6 times as heavy. Her brother's mass is \[\frac{1}{3}\] her mother's mass. What is Sally's mother's age, if Sally's mass is 8kg?
A)
48kg done
clear
B)
42kg done
clear
C)
18kg done
clear
D)
56kg done
clear
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DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 4 Neha and Preeti are two friends. Neha has 4 more marbles than twice the number of marbles Preeti has, there are 52 marbles in total. Write an algebraic expression for the above situation, (m denotes the number of marbles).
A)
\[2m+4=52\] done
clear
B)
\[3m+4=52\] done
clear
C)
\[m+2m=52\] done
clear
D)
\[m+4=52\] done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 4 Neha and Preeti are two friends. Neha has 4 more marbles than twice the number of marbles Preeti has, there are 52 marbles in total. The number of marbles that Neha has
A)
36 done
clear
B)
16 done
clear
C)
48 done
clear
D)
32 done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 4 Neha and Preeti are two friends. Neha has 4 more marbles than twice the number of marbles Preeti has, there are 52 marbles in total. The number of marbles that Preeti has
A)
12 done
clear
B)
18 done
clear
C)
16 done
clear
D)
14 done
clear
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DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 5 Price of apple per kg is Rs 2 less than price of orange per kg? Write an algebraic expression using variable 'p' for price of apple per kg?
A)
p ? 2 done
clear
B)
p + 2 = 0 done
clear
C)
2p = 8 done
clear
D)
p ? 2 = 2 done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 5 Price of apple per kg is Rs 2 less than price of orange per kg? If the price of orange per kg be Rs 45. What will be the price of apple per kg?
A)
Rs. 42 done
clear
B)
Rs. 43 done
clear
C)
Rs. 40 done
clear
D)
Rs. 44 done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 5 Price of apple per kg is Rs 2 less than price of orange per kg? If I buy 2 kg of apple and 3 kg of orange then what will be the total price I pay?
A)
Rs. 230 done
clear
B)
Rs. 135 done
clear
C)
Rs. 240 done
clear
D)
Rs. 221 done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 6 The length of a rectangular hall is 4 metres less than 3 times the breadth of the hall. What is the length of hall if breadth is b metres?
A)
b4 done
clear
B)
3b4 done
clear
C)
43b done
clear
D)
3b done
clear
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DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 6 The length of a rectangular hall is 4 metres less than 3 times the breadth of the hall. The expression for the perimeter of rectangular hall in terms of ?b? will be
A)
\[4b4\] done
clear
B)
\[4b\] done
clear
C)
\[(2b4)\] done
clear
D)
\[2(b+4)\] done
clear
View Solution play_arrow

DIRECTIONS: Read the passage(s) given below and answer the questions that follow. Passage ? 6 The length of a rectangular hall is 4 metres less than 3 times the breadth of the hall. Perimeter of rectangular hall if breadth is 8 metres, is
A)
32 metres done
clear
B)
28 metres done
clear
C)
64 metres done
clear
D)
56 metres done
clear
View Solution play_arrow

DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Degree of the polynomial \[5{{x}^{2}}+3x+4\] is 2. Reason: The degree of a polynomial of one variable is the highest value of the exponent of the variable.
A)
If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
clear
B)
If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
clear
C)
If Assertion is correct but Reason is incorrect. done
clear
D)
If Assertion is incorrect but Reason is correct. done
clear
View Solution play_arrow

DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Binomials and Trinomials are Polynomials. Reason: An algebraic expression having two or more terms is called a multinomial.
A)
If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
clear
B)
If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
clear
C)
If Assertion is correct but Reason is incorrect. done
clear
D)
If Assertion is incorrect but Reason is correct. done
clear
View Solution play_arrow

DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: In the expression \[3{{x}^{2}}+7{{y}^{2}}2xy\,+4{{x}^{2}}+8xy+9{{y}^{2}},\]\[3{{x}^{2}},\,4{{x}^{2}}\] are like terms, 2xy, 5xy are like terms and \[7{{y}^{2}},\,9{{y}^{2}}\] are like terms. Reason: When the terms have same literal factors they are called unlike terms.
A)
If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
clear
B)
If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
clear
C)
If Assertion is correct but Reason is incorrect. done
clear
D)
If Assertion is incorrect but Reason is correct. done
clear
View Solution play_arrow

Which of the following statement is true or false? (i) \[x+3+\frac{4}{y}\] is an algebraic expression. (ii) A constant term contains only variables. (iii) Only like terms can be added or subtracted (iv) Degree of a polynomial is a rational number. Choose the correct answer.
A)
(i) is True; (ii) is False; (iii) is True; (iv) is False done
clear
B)
(i) is False; (ii) is True; (iii) is True; (iv) is False done
clear
C)
(i) is False; (ii) is False; (iii) is True; (iv) is False done
clear
D)
(i) is True; (ii) is True; (iii) is False; (iv) is True done
clear
View Solution play_arrow

Read the following statements carefully and choose the correct answer. (i) An algebraic expression that contains two unlike terms is called a binomial, for example: \[{{x}^{2}}+2x,\,3x+4\] (ii) A replacement for a variable that makes a equation true is called a solution of the equation.
A)
(i) is true. done
clear
B)
(i) is false but (ii) is true. done
clear
C)
Only (ii) is true. done
clear
D)
Both (i) and (ii) are true. done
clear
View Solution play_arrow

Read the following statements carefully and choose the correct answer. (i) The value of \[2({{a}^{2}}+ab)\,+3ab\] equals to 38,when \[a=5,\,b=3\]. (ii) If the value of \[2{{x}^{2}}+xa\] equals to 5 for \[x=0,\] the value of a should be  5.
A)
Both (i) and (ii) are true. done
clear
B)
Only (ii) is true. done
clear
C)
Only (i) is true done
clear
D)
Neither (i) nor (ii) is true. done
clear
View Solution play_arrow

Read the following statements carefully and choose the correct answer. (i) The difference of the expressions \[3ab2{{a}^{2}}2{{b}^{2}}\] and \[5{{a}^{2}}7ab+5{{b}^{2}}\] will be \[10ab7{{a}^{2}}7{{b}^{2}}\] which is a trinomial. (ii) The sum of \[{{x}^{2}}+xy+{{y}^{2}}\] and \[2{{x}^{2}}+3xy\] gives an algebraic expression \[3{{x}^{2}}+4xy+{{y}^{2}}\].
A)
(i) is true but (ii) is false. done
clear
B)
(ii) is true but (i) is false. done
clear
C)
Both (i) and (ii) are true. done
clear
D)
Neither (i) nor (ii) is true. done
clear
View Solution play_arrow

Read the following statements carefully and choose the correct answer. (i) I had Rs. 200 with me. I gave Rs. x to Anwar, Rs. \[\frac{x}{2}\] to Vidhu and I am left with Rs. \[\frac{x}{2}\]. The algebraic form of the given statement is written as: \[x+\frac{x}{2}+\frac{x}{2}=200\] (ii) The amount I gave to Vidhu is Rs 50 and to Anwar is Rs 100.
A)
Only (i) is true. done
clear
B)
Only (ii) is true. done
clear
C)
Both (i) and (ii) are false. done
clear
D)
(ii) is a solution of (i). done
clear
View Solution play_arrow

Read the following statements carefully and choose the correct answer. (i) The algebraic expression for the statement: Onefourth of a number plus 18 is equal, to 20 is \[\frac{1}{4}x+18=20\] (x represent the number). (ii) The number is 8, for the above expression.
A)
Only (i) is true. done
clear
B)
Only (ii) is true. done
clear
C)
Both (i) and (ii) are true done
clear
D)
Neither (i) nor (ii) is true. done
clear
View Solution play_arrow

Read the following statements carefully and choose the correct answer. (i) If 20 is subtracted from 3x, the difference equal the sum of x and 4 then x should be 12. (i) t = 9 is a solution of 5t  1 = 44
A)
(i) is true while (ii) is false done
clear
B)
(ii) is true while (i) is false done
clear
C)
Both (i) and (ii) are false. done
clear
D)
Both (i) and (ii) are true. done
clear
View Solution play_arrow

Read the following statements carefully and choose the correct answer. (i) Take away 10 from 7x to get a difference of 32, we get x equal to 6. (ii) When three times a number is added to 1, their sum will be equal to 10, the number should be 4.
A)
Only (i) is true done
clear
B)
Only (ii) is true done
clear
C)
Both (i) and (ii) are true. done
clear
D)
Neither (i) nor (ii) is true. done
clear
View Solution play_arrow

What is the missing term in the following product? \[(2{{a}^{3}}3)\,(5{{a}^{3}}2)=10{{a}^{6}}+\_\_\_\_\_\_\_\_\_+6\]
A)
\[16{{a}^{3}}\] done
clear
B)
\[16{{a}^{3}}\] done
clear
C)
\[19{{a}^{3}}\] done
clear
D)
\[19{{a}^{3}}\] done
clear
View Solution play_arrow

What is the sum of \[(x+1)\] and the reciprocal of \[(x1)\]?
A)
\[\frac{{{x}^{2}}2}{x1}\] done
clear
B)
\[\frac{{{x}^{2}}}{x1}\] done
clear
C)
\[\frac{{{x}^{2}}}{x1}\] done
clear
D)
\[\frac{2x}{x1}\] done
clear
View Solution play_arrow

Seven is multiplied by x and the result is deducted from 60. Which of the following expression represents the above?
A)
\[7x60\] done
clear
B)
\[60x\] done
clear
C)
\[607x\] done
clear
D)
\[7\times 60x\] done
clear
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The sum of \[3{{x}^{2}}+4x2{{y}^{2}}\] and \[{{x}^{2}}+3x2{{y}^{2}}\] is
A)
\[4{{x}^{2}}+x\] done
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B)
\[7x+2{{x}^{2}}4{{y}^{2}}\] done
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C)
\[7x+4{{x}^{2}}4{{y}^{2}}\] done
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D)
\[x+2{{x}^{2}}\] done
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The expression obtained when x is multipled by 2 and then subtracted from 3 is
A)
\[2x3\] done
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B)
\[2x+3\] done
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C)
\[32x\] done
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D)
\[3x2\] done
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\[x4=2\] has a solution
A)
6 done
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B)
2 done
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C)
6 done
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D)
2 done
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Kanta has p pencils in her box. She puts q more pencils in the box. The total number of pencils with her are
A)
p + q done
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B)
pq done
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C)
p ? q done
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D)
\[\frac{p}{q}\] done
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I think of a number and on adding 13 to it, I get 27. The equation for this is
A)
\[x27=13\] done
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B)
\[x13=27\] done
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C)
\[x+27=13\] done
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D)
\[x+13=17\] done
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Ravi bought x cans of water at Rs 1.50 each and y packets of biscuits at Rs 2.70 each. Which of the following expressions shows the total amount Ravi paid, in Rs?
A)
\[150x+270y\] done
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B)
\[1.5x+2.7y\] done
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C)
\[15x+27y\] done
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D)
\[0.15x+0.27y\] done
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The product of two numbers is 22500. If one of the numbers is 150. Find the half of the other.
A)
175 done
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B)
75 done
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C)
85 done
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D)
95 done
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Solve the following equation and find the value of variable 'x' in \[7x+4=10\]
A)
\[\frac{6}{7}\] done
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B)
? 4 done
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C)
? 3 done
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D)
? 2 done
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If \[a=3,\,b=5,\,c=ba,\] then which of the following expressions represent 10 ?
A)
\[(a+c)\times b\] done
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B)
\[(a+b)c\] done
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C)
\[(b+c)+a\] done
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D)
\[(ab)+c\] done
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The sum of two numbers is 19 and one of the numbers is one more than twice the other. Represent this statement in the form of an equation using variable x.
A)
\[x(2x+1)\,=19\] done
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B)
\[x+(2x+1)=19\] done
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C)
\[x+(2x1)=19\] done
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D)
\[x\div (2x1)=19\] done
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Add the following polynomials, \[{{x}^{3}}3{{x}^{2}}6x+10\] and \[4{{x}^{3}}+10{{x}^{2}}+15x20\]?
A)
\[5{{x}^{3}}+7{{x}^{2}}9x+10\] done
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B)
\[5{{x}^{2}}+6+45x\] done
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C)
\[5{{x}^{3}}+7{{x}^{2}}+9x10\] done
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D)
\[5x3{{x}^{2}}+6\] done
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The difference of \[4{{x}^{2}}y3xy+5x\] from \[10{{x}^{2}}y6xy+15x15\] is
A)
\[8{{x}^{3}}2{{x}^{2}}+9\] done
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B)
\[6{{x}^{2}}y3xy+10x25\] done
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C)
\[5x3{{x}^{2}}+6\] done
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D)
\[6xy3{{x}^{2}}y+10x25\] done
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The product of \[({{a}^{2}}+ab+{{b}^{2}})\,({{a}^{2}}ab{{b}^{2}})\]
A)
\[{{a}^{4}}{{a}^{2}}{{b}^{2}}2a{{b}^{3}}{{b}^{7}}\] done
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B)
\[6{{a}^{2}}b3ab+10a25\] done
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C)
\[5a3{{a}^{2}}+6\] done
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D)
\[6{{a}^{4}}{{a}^{2}}{{b}^{2}}+2a{{b}^{3}}\] done
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The product of 2 with an unknown number x is expressed by 2x. Find the constant of the resulting product.
A)
2 done
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B)
1 done
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C)
x done
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D)
2x done
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The coefficient of \[{{x}^{2}}{{y}^{6}}\] in the term \[{{x}^{2}}{{y}^{6}}\] is?
A)
0 done
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B)
1 done
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C)
1 done
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D)
6 done
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The product of the polynomials, \[(3{{u}^{2}}v5u{{v}^{2}})\] and \[\left( \frac{1}{5}{{u}^{2}}+\frac{1}{5}{{v}^{2}} \right)\] is
A)
\[\frac{3}{5}{{u}^{4}}v{{u}^{3}}{{v}^{2}}u{{v}^{4}}+\frac{3}{5}{{u}^{2}}{{v}^{3}}\] done
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B)
\[\frac{{{u}^{4}}v}{5}2u{{v}^{2}}\,+{{u}^{2}}{{v}^{3}}\,\frac{5u{{v}^{4}}}{3}\] done
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C)
\[\frac{3{{u}^{4}}v}{5}4{{v}^{2}}+4{{u}^{2}}{{v}^{3}}\frac{5u{{v}^{4}}}{3}\] done
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D)
\[\frac{3{{u}^{4}}v}{5}{{u}^{3}}{{v}^{2}}+{{u}^{2}}{{v}^{3}}5u{{v}^{4}}\] done
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Think of an even number 2x, then the next odd number is
A)
\[2x1\] done
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B)
\[2x+1\] done
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C)
\[2x+2\] done
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D)
\[2x2\] done
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Think of an even number 2x, then the next even number is
A)
\[2x1\] done
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B)
\[2x+1\] done
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C)
\[2x+2\] done
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D)
\[2x2\] done
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Think of an even number 2x, then the previous even number is
A)
\[2x1\] done
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B)
\[2x+1\] done
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C)
\[2x+2\] done
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D)
\[2x2\] done
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Directions: Match ColumnI with ColumnII and select the correct answer using the codes gives below the columns.
A)
\[\text{A}\to (s);\,B\to (r);\,C\to (q);\,D\to (p)\] done
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B)
\[\text{A}\to (r);\,B\to (s);\,C\to (q);\,D\to (p)\] done
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C)
\[\text{A}\to (r);\,B\to (s);\,C\to (p);\,D\to (q)\] done
clear
D)
\[\text{A}\to (s);\,B\to (r);\,C\to (p);\,D\to (q)\] done
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Directions: Match ColumnI with ColumnII and select the correct answer using the codes gives below the columns.
A)
\[\text{A}\to (s);\,B\to (r);\,C\to (p);\,D\to (q)\] done
clear
B)
\[\text{A}\to (r);\,B\to (s);\,C\to (p);\,D\to (q)\] done
clear
C)
\[\text{A}\to (r);\,B\to (s);\,C\to (q);\,D\to (p)\] done
clear
D)
\[\text{A}\to (s);\,B\to (r);\,C\to (p);\,D\to (q)\] done
clear
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DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow. ? A combination of locks requires 3 numbers to open ? The second number is 2d + 5 greater than the first number. ? The third number is 3d  20 less than the second number. ? The sum of the three numbers is 10 + 9. The first number is
A)
\[3d11\] done
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B)
\[2d+19\] done
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C)
\[3d7\] done
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D)
\[5d11\] done
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DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow. ? A combination of locks requires 3 numbers to open ? The second number is 2d + 5 greater than the first number. ? The third number is 3d  20 less than the second number. ? The sum of the three numbers is 10 + 9. Product of first and third number is
A)
\[{{a}^{2}}+25a\] done
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B)
\[ad+25\] done
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C)
\[{{a}^{2}}+ad+25\] done
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D)
\[{{a}^{2}}ad+25a\] done
clear
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DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow. ? A combination of locks requires 3 numbers to open ? The second number is 2d + 5 greater than the first number. ? The third number is 3d  20 less than the second number. ? The sum of the three numbers is 10 + 9. Algebraic expression for clue number obtained in second clue
A)
Second number = First number \[+2d+5\] done
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B)
Second number = First number  (2d + 5) done
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C)
First number = Second number + 2d + 5 done
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D)
None of these done
clear
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DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow. Tarun has a certain number of magnets. X magnets are round and the rest are oval. Also, there are 96 more oval magnets than round magnets. How many oval magnets are there?
A)
\[x96\] done
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B)
\[x+96\] done
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C)
96 done
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D)
96x done
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DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow. Tarun has a certain number of magnets. X magnets are round and the rest are oval. Also, there are 96 more oval magnets than round magnets. How many magnets are there altogether?
A)
\[2x96\] done
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B)
\[2x\times 96\] done
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C)
\[2x+96\] done
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D)
96 done
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DIRECTIONS: Passage ? 3 Read the passage(s) given below and answer the questions that follow. Ram started a business with Rs. (3a + 5b  2c). He earned a profit of Rs. (2a + 3b  5c) in January Suffered a loss of Rs. (4a  2b + 6c) in February, and again earned a gain of Rs. (2c + 2b  Id) in March. How much money he got on 1st february?
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DIRECTIONS: Passage ? 3 Read the passage(s) given below and answer the questions that follow. Ram started a business with Rs. (3a + 5b  2c). He earned a profit of Rs. (2a + 3b  5c) in January Suffered a loss of Rs. (4a  2b + 6c) in February, and again earned a gain of Rs. (2c + 2b  Id) in March. How much money will he get on the 1 st April?
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DIRECTIONS: Passage ? 3 Read the passage(s) given below and answer the questions that follow. Ram started a business with Rs. (3a + 5b  2c). He earned a profit of Rs. (2a + 3b  5c) in January Suffered a loss of Rs. (4a  2b + 6c) in February, and again earned a gain of Rs. (2c + 2b  Id) in March. What was the total profit he earned voluring the month of January and March?
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Read the statements given below carefully and choose the correct answer. (i) If \[a=2\] and b = 5 then out of \[2a+3b,\,2ba,\,ab\] and \[{{a}^{2}}{{b}^{2}}\] only \[{{a}^{2}}{{b}^{2}}\] has the least value. (ii) Anshi celebrated her 16th birthday x year ago. She would be \[(16+x+z)\] years old in z year time.
A)
(i) is true while (ii) is false. done
clear
B)
(i) is false while (ii) is true. done
clear
C)
(i) and (ii), both are true. done
clear
D)
(i) and (ii), both are false. done
clear
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Read the following statements and choose the correct option. (i) If \[\frac{P}{Q}=7\] then the value of \[\frac{P+Q}{PQ}\] is (ii) If \[P=\frac{{{x}^{2}}36}{{{x}^{2}}49}\] and \[Q\frac{x6}{x+7}\] then the value of \[\frac{P}{Q}\] is \[\frac{x6}{x7}\]
A)
(i) and (ii) are false. done
clear
B)
(i) and (ii) are true. done
clear
C)
(i) is true while (ii) is false. done
clear
D)
(i) is false while (ii) is true. done
clear
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Question given below is followed by three statements. Read the question and the statements. Decide which of the statements is/are necessary to answer the question. (l) What is the present age of Amit? (i) The sum of the ages of Amit and Bharat is 21 years. (ii) The difference of the ages of Amit and Bharat is 5 years. (iii) The product of the ages of Amit and Bharat is 104 years.
A)
(i) and (ii) only done
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B)
(ii) and (iii) only done
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C)
(i) and (iii) only done
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D)
Any two of the three done
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Read the statement given below carefully and choose the correct answer. (i) The sum of two numbers is x. If one of the number is 19, the other number in terms of x is x  19. (ii) The product of two number is 18. If one number is a, then the other number is 18a.
A)
(i) is true only done
clear
B)
(ii) is true only done
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C)
(i) and (ii), both are true. done
clear
D)
(i) and (ii), both are false. done
clear
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