
question_answer1) What will be the simplified form of\[21b32+7b20b?\]
A) \[21b20b32+7b\]
B) \[21b20b+7b32\]
C) \[8b32\]
D) None of the above
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question_answer2) What will be the equation form for the following statement? The sum of 3 times\[x\]and 11 is 32
A) \[x+3\times 11=32\]
B) \[\frac{x}{3}+11=32\]
C) \[3(x+11)=32\]
D) \[3x+11=32\]
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question_answer3) The statement form of the equation 5p = 20 is
A) 5 when added to p gives 20
B) Five times a number p is 20
C) Twenty times a number p is 20
D) None of the above
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question_answer4) Raju's father's age is 5 years more than three times Raju's age. Raju's father is 44 years old, equation to find Raju's age is:
A) 3 (Raju's age) + 5 = 44
B) 3 (Raju's age + 5) = 44
C) 5 (Raju's age) + 3 = 44
D) Either a or b
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question_answer5) Say, whether the equation\[x+3=0\]is satisfied when\[x=3.\]
A) Yes
B) No
C) Either (a) or (b)
D) None
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question_answer6) Write an equation for the statement onefourth of a number\[x\]minus 4 gives 4.
A) \[\left[ \frac{1}{4}x \right]4=4\]
B) \[\frac{1}{4}\left[ x4 \right]=4\]
C) \[\frac{1}{4}4x=4\]
D) None
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question_answer7) Write an equation for the following statement. In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be b in degrees).
A) \[4b=180{}^\circ \]
B) \[2b+c=180{}^\circ \]
C) \[2b+2c=180{}^\circ \]
D) None of the above
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question_answer8) The algebraic expression of the statement: ?number 5 added to three times the product of numbers m and n?.
A) \[5mn+3\]
B) \[2m+5n\]
C) \[3mn+5\]
D) None of the above
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question_answer9) Find the values of the expressions (i) \[4x3\]and (ii) \[195{{x}^{2}}\] for \[x=2\]
A) \[5,1\]
B) \[5,\,\,4\]
C) \[1,\,\,5\]
D) \[5,\,\,1\]
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question_answer10) What should be added to\[{{x}^{2}}+xy+{{y}^{2}}\]to obtain\[2{{x}^{2}}+3xy\]?
A) \[{{x}^{2}}2xy+{{y}^{2}}\]
B) \[{{x}^{2}}2xy{{y}^{2}}\]
C) \[{{x}^{2}}+2xy{{y}^{2}}\]
D) \[{{x}^{2}}+2xy+{{y}^{2}}\]
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question_answer11) Identify the numerical coefficients of terms (other than constants) in the following three expressions. (i) \[53{{t}^{2}},\] (ii) \[1+t+{{t}^{2}}+{{t}^{3}},\] (iii) \[x+2xy+3y\]
A) \[\text{i}3,\,\text{ii}\,\text{}\,1,1,1,\,iii\text{}\,1,2,3\]
B) \[\text{i}\,\text{}\,\text{5},\,\text{ii}\,\text{}\,1,1,\,iii\text{}\,2,3\]
C) \[\text{i}\,\text{}\,8,\,\text{ii}\,\text{}\,4,\,iii\text{}\,6\]
D) None of the above
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question_answer12) Identify the terms which give contain \[x\] and give the coefficients of\[x.\] \[{{y}^{2}}x+y\]
A) \[{{y}^{2}},y\]
B) \[x,\,\,1\]
C) \[y,\,\,x\]
D) \[{{y}^{2}}x,\,\,{{y}^{2}}\]
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question_answer13) Identify terms which contain\[{{y}^{2}}\]and give the coefficients of\[{{y}^{2}}\]in \[2{{x}^{2}}y15x{{y}^{2}}+7{{y}^{2}}\]
A) \[15x{{y}^{2}},\,15x\]
B) \[15x,\,7\]coefficient
C) terms\[(15x{{y}^{2}},7{{y}^{2}})\]coefficient\[15x,7\]
D) \[2{{x}^{2}}y,15x{{y}^{2}},7{{y}^{2}},2{{x}^{2}},15x,7\]
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question_answer14) Classify the following expressions into monomial, binomial and trinomial. (i) \[4{{p}^{2}}q4p{{q}^{2}}\] (ii) \[7mn\] (iii) \[1+x+{{x}^{2}}\]
A) i  binomial, ii  monomial, iii ? trinomial
B) i  trinomial, ii  monomial, iii  binomial
C) i  binomial, ii  trinomial iii  monomial
D) i  monomial, ii  binomial iii ? trinomial
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question_answer15) The area of rectangle whose length and breadth are \[4{{x}^{2}}{{y}^{3}}\] and \[2x{{y}^{2}}\] respectively is
A) \[8{{x}^{2}}{{y}^{5}}\]
B) \[8{{x}^{2}}{{y}^{2}}\]
C) \[8{{x}^{3}}{{y}^{5}}\]
D) \[6{{x}^{3}}{{y}^{5}}\]
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question_answer16) The product of monomial and monomial is always a
A) monomial
B) binomial
C) trinomial
D) None of these
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question_answer17) The number of terms in the product of\[\left( 3x2 \right)\] and\[\left( 2x+3 \right)\]is
A) one
B) two
C) three
D) four
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question_answer18) Product of \[\left( \frac{3a}{4}\frac{2b}{3} \right)\] and \[\left( \frac{3a}{4}+\frac{2b}{3} \right)\] is
A) \[\frac{9}{16}{{a}^{2}}\frac{4}{9}{{b}^{2}}\]
B) \[\frac{9}{16}{{a}^{2}}\frac{6}{12}{{b}^{2}}\]
C) \[\frac{9}{16}{{a}^{2}}\frac{6}{12}{{b}^{2}}\frac{6}{12}{{b}^{2}}\frac{4}{9}ab\]
D) \[\frac{6}{12}{{a}^{2}}\frac{9}{16}{{b}^{2}}\]
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question_answer19) The highest power of the variable in a polynomial is called its
A) degree
B) constant
C) like terms
D) None of these
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question_answer20) The numerical coefficient of \[{{x}^{2}}\] in the expression\[{{x}^{3}}5{{x}^{2}}8x+4\]
A) \[\]8
B) 4
C) \[\]5
D) 1
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question_answer21) The algebraic expression for ?Twice of\[x\]added to\[y\]squared? is
A) \[3x+{{y}^{2}}\]
B) \[\left( x+2 \right){{y}^{2}}\]
C) \[\left( x+3 \right){{y}^{2}}\]
D) \[2x+{{y}^{2}}\]
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question_answer22) Given that \[2x5=7x,\] then the value of\[x\]is
A) 3
B) 4
C) 5
D) 1
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question_answer23) What value of m, satisfies 17 = 3 + 2m.
A) 6
B) 5
C) 7
D) 3
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question_answer24) Divide p by 4 then add 12. If the result is 32, then the value of p is
A) 46
B) 20
C) 70
D) 80
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question_answer25) The multiplicative inverse of\[{{(16)}^{2}}\]is
A) \[{{(16)}^{1}}\]
B) \[{{(16)}^{2}}\]
C) \[{{(16)}^{3}}\]
D) \[1\]
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question_answer26) \[3\times 3\times 3\times 3\times 3\_\_\_200\]times can be written as
A) \[200\times 3\]
B) \[200+3\]
C) \[{{(200)}^{3}}\]
D) \[{{3}^{200}}\]
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question_answer27) Reciprocal of \[{{\left( \frac{2}{3} \right)}^{4}}\]is
A) \[{{\left( \frac{3}{2} \right)}^{4}}\]
B) \[{{\left( \frac{3}{2} \right)}^{4}}\]
C) \[{{\left( \frac{3}{2} \right)}^{3}}\]
D) \[{{\left( \frac{3}{2} \right)}^{3}}\]
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question_answer28) Power notation of \[\frac{36}{81}\] can be written as
A) \[\frac{{{6}^{2}}}{{{8}^{2}}}\]
B) \[{{\left( \frac{2}{3} \right)}^{6}}\]
C) \[\frac{6}{9}\]
D) \[{{\left( \frac{6}{9} \right)}^{2}}\]
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question_answer29) Exponential form of \[{{a}^{5}}\times a\times a\times {{b}^{3}}\times {{b}^{2}}\] is
A) \[{{b}^{7}}{{a}^{5}}\]
B) \[{{a}^{7}}{{b}^{5}}\]
C) \[{{(ab)}^{7}}\]
D) \[{{(ab)}^{5}}\]
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question_answer30) Simplest form of \[{{\left( \frac{4}{9} \right)}^{3/2}}\]is
A) \[{{\left( \frac{9}{4} \right)}^{2/3}}\]
B) \[\frac{8}{27}\]
C) \[\frac{27}{8}\]
D) \[{{\left( \frac{8}{27} \right)}^{2}}\]
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question_answer31) Value of expression\[{{(8)}^{2/3}}+{{4}^{3/2}}\]is
A) 12
B) 18
C) 10
D) 14
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question_answer32) Exponential form of \[16\times 27\times 81\]is
A) \[{{2}^{4}}\times {{3}^{3}}\times {{8}^{1}}\]
B) \[{{2}^{7}}\times {{3}^{4}}\]
C) \[{{2}^{4}}\times {{3}^{4}}\times {{3}^{4}}\]
D) \[{{2}^{4}}\times {{3}^{7}}\]
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question_answer33) Evaluate: \[{{\left( \frac{2}{7} \right)}^{\frac{1}{2}}}\times {{\left( \frac{2}{7} \right)}^{\frac{3}{2}}}\]
A) \[{{\left( \frac{2}{7} \right)}^{\frac{3}{4}}}\]
B) \[{{\left( \frac{2}{7} \right)}^{1}}\]
C) \[\frac{4}{49}\]
D) \[\frac{49}{4}\]
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question_answer34) \[{{\text{3}}^{x}}=243,\]then\[x\]is equal to
A) 4
B) 6
C) 5
D) 7
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question_answer35) Simple form of \[{{(3)}^{2}}\times {{(2)}^{3}}\] is
A) \[72\]
B) \[24\]
C) \[72\]
D) \[18\]
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question_answer36) The value of \[{{\left( \frac{2}{3} \right)}^{7}}\]is
A) negative
B) 0
C) positive
D) none of these
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question_answer37) \[{{\left( \frac{1}{3} \right)}^{7}}\div {{\left( \frac{1}{3} \right)}^{4}}\]is equal to
A) \[{{\left( \frac{1}{3} \right)}^{11}}\]
B) \[{{\left( \frac{1}{3} \right)}^{3}}\]
C) \[{{\left( \frac{1}{3} \right)}^{3}}\]
D) \[1\]
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question_answer38) Standard form of 7000000 is
A) \[7.0\times {{10}^{6}}\]
B) \[0.7\times {{10}^{7}}\]
C) \[70\times {{10}^{5}}\]
D) \[70\times {{10}^{6}}\]
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question_answer39) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. For any two rational numbers a and b and for any integers m and n, match the laws of exponents given in Column  I with Column  II. A B C D E
A) 3 5 2 4 1
B) 5 3 4 1 2
C) 5 3 1 4 2
D) 3 5 4 2 1
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question_answer40) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. A B C D
A) 1 2 3 4
B) 3 4 2 1
C) 3 1 4 2
D) 1 2 4 3
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question_answer41) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. A B C D
A) 3 4 1 2
B) 3 1 4 2
C) 2 3 1 4
D) 4 3 1 2
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question_answer42) A B C D
A) 3 1 2 4
B) 3 1 4 2
C) 1 2 3 4
D) 1 3 2 4
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question_answer43) Consider the following statements. (i) If there is only one term in an expression, it is called a monomial. (ii) An algebraic expression is a combination of numbers, literals, and arithmetic operations. (iii) An algebraic expression with one or more terms is also referred to as a polynomial. Which of the statement(s) is/are true
A) Only (i)
B) Only (ii)
C) Only (iii)
D) All of the above
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question_answer44) Consider the following statements. Statement A: Like terms of an algebraic expression can be added or subtracted. Statement B: Unlike terms cannot be added or subtracted to get a new term.
A) Only statement A is correct
B) Only statement B is correct
C) Either statement A or statement B is correct
D) Both the statements are correct.
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question_answer45) Read the following statements. (i) \[2{{a}^{2}}+a5,3{{x}^{2}}+2,3{{y}^{2}}\]are all polynomials of the second degree. (ii) \[4{{x}^{3}}+3,6{{a}^{3}}+4{{a}^{2}}+2a+1,\]and\[4{{m}^{3}}\]are all polynomials of the third degree. (iii) The term with the highest power in a polynomial decides the degree of the polynomial. Which of the statement(s) is/are correct?
A) only (i) and (ii)
B) only (ii) and (iii)
C) only (i) and (iii)
D) (i),(ii) and (iii)
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question_answer46) Consider the following statement. (i) To solve an equation means to find the value of the unknown variable in the equation. (ii) Value of the unknown variable is called the root of the equation. (iii) All monomials, binomials, trinomials, and polynomials are called by the name polynomial. Which of the statement (s) is/are true?
A) (i), (ii) and (iii)
B) (i) and (ii)
C) (i) and (iii)
D) (ii) and (iii)
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question_answer47) Consider the following statements. (i) \[\sqrt{2x}+6{{x}^{2}}+7\]is a polynomial of degree 2. (ii) \[4{{e}^{2}}+\frac{1}{6}e+2\sqrt{4}\]is not a polynomial. (iii) \[8{{a}^{3}}{{b}^{2}}4{{a}^{2}}b+6ab3\] is a polynomial of degree 5. Which of the statement(s) is incorrect?
A) only (i) and (ii)
B) only (i) and (iii)
C) only (ii) and (iii)
D) None of these
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question_answer48) Consider the following algebraic identities. (i) \[{{(a+b)}^{2}}={{a}^{2}}+2ab+{{b}^{2}}\] (ii) \[{{(ab)}^{2}}={{a}^{2}}2ab+{{b}^{2}}\] (iii) \[{{a}^{2}}{{b}^{2}}=(ab)\,(a+b)\] (iv) \[(a+x)(a+y)={{a}^{2}}+a(x+y)+xy\] Which of the identity is/are incorrect?
A) only (i), (ii) and (iii)
B) only (i), (iii) and (iv)
C) only (ii), (iii) and (iv)
D) None of these
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question_answer49) DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow. Let K represents any terminating decimal or a number from 1 to 9.999 _ _ _ (or\[1\le K<10\]). Then we can express very large and very small numbers in special form such as \[K\times {{10}^{n}},\] where n is any integer. This form of writing numbers is known as scientific notation. This form of numbers is also called the standard form. Scientific notation 0.23 is
A) \[2.3\times {{10}^{1}}\]
B) \[2.3\]
C) \[2.3\times 10\]
D) \[\frac{2.3}{10}\]
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question_answer50) DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow. Let K represents any terminating decimal or a number from 1 to 9.999 _ _ _ (or\[1\le K<10\]). Then we can express very large and very small numbers in special form such as \[K\times {{10}^{n}},\] where n is any integer. This form of writing numbers is known as scientific notation. This form of numbers is also called the standard form. Scientific notation of .0000072 is
A) \[7.2\times {{10}^{7}}\]
B) \[7.2\times {{10}^{7}}\]
C) \[7.2\times {{10}^{6}}\]
D) \[72\times {{10}^{6}}\]
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question_answer51) DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow. Let K represents any terminating decimal or a number from 1 to 9.999 _ _ _ (or\[1\le K<10\]). Then we can express very large and very small numbers in special form such as \[K\times {{10}^{n}},\] where n is any integer. This form of writing numbers is known as scientific notation. This form of numbers is also called the standard form. Usual form of \[1.05\times {{10}^{3}}\]is
A) 105
B) 1050
C) 10500
D) 105000
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question_answer52) 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 (A): 2a + 3b + c is a trinomial Reason (R): An algebraic expression which contains only three terms is called trinomial.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer53) 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 (A): The degree of \[x+{{x}^{2}}3{{x}^{4}}+1\] is 4. Reason (R): The term with the highest power in a polynomial decides the degree of the polynomial.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer54) 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 (A): Value of \[{{\left( \frac{4}{9} \right)}^{\frac{3}{2}}}\times {{\left( \frac{4}{9} \right)}^{\frac{1}{2}}}\]is \[{{\left( \frac{4}{9} \right)}^{2}}.\] Reason (R): For any two rational numbers a and b and for any integers m and n, we have \[{{a}^{m}}\times {{a}^{n}}={{a}^{m+n}}\]
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer55) 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 (A): Value of \[{{(27)}^{\frac{6}{5}}}\div {{(27)}^{\frac{1}{5}}}\] is \[1\times {{3}^{3}}\] Reason (R): For any two rational numbers a and b and for any integers m and n, we have\[{{a}^{m}}\div {{a}^{n}}={{a}^{mn}}\]
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer56) 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 (A): Value of \[{{\left[ {{(729)}^{\frac{5}{3}}} \right]}^{\frac{1}{2}}}\]is 243. Reason (R): For any two rational numbers a and b and for any integers m and n, we have\[{{(ab)}^{n}}={{a}^{n}}.{{b}^{n}}\]
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer57) Identify the like terms in the following (i) \[x{{y}^{2}},\] (ii) \[4y{{x}^{2}},\] (iii) \[8{{x}^{2}},\](iv) \[2x{{y}^{2}},\] (v) \[7y,\] (vi) \[11{{x}^{2}},\](vii) \[100x,\](viii) \[11yx,\] (ix) \[20{{x}^{2}}y\]
A) (i) and (iv)
B) (ii) and (vi)
C) Both a & b
D) None
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question_answer58) If \[m=2,\] the value of \[\frac{5m}{2}4\]
A) \[2\]
B) \[10\]
C) \[\frac{5}{2}\]
D) \[1\]
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question_answer59) If \[p=2,\] the value of\[2{{p}^{3}}3{{p}^{2}}+4p+7\]
A) \[0\]
B) \[1\]
C) \[3\]
D) \[3\]
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question_answer60) Find the value of the expression \[{{x}^{2}}+2x+1\] when\[x=1\]
A) \[1\]
B) \[0\]
C) \[2\]
D) \[1\]
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question_answer61) In\[6\left( 2a1 \right)+8=14,\]the value of \['a'\] is
A) \[1\]
B) \[3\frac{1}{12}\]
C) \[1\frac{3}{12}\]
D) \[+1\]
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question_answer62) The solution of\[0.2(2x1)0.5(3x1)=0.4\]is
A) \[\frac{1}{11}\]
B) \[\frac{1}{11}\]
C) \[\frac{3}{11}\]
D) \[\frac{3}{11}\]
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question_answer63) If 20% of 60% of a number is 144, then the number is
A) 1200
B) 2880
C) 8640
D) None of these
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question_answer64) The ratio of two numbers is a : b. If one of them is x, then other is
A) \[\frac{ab}{x}\]
B) \[\frac{b}{ax}\]
C) \[\frac{b}{a+b}x\]
D) \[\frac{bx}{a}\]
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question_answer65) Which of the following expressions is a polynomial?
A) \[3{{x}^{\frac{1}{2}}}4x+3\]
B) \[4{{x}^{2}}3\sqrt{x}+5\]
C) \[3{{x}^{2}}y2xy+5{{x}^{4}}\]
D) \[2{{x}^{4}}+\frac{3}{{{x}^{2}}}1\]
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question_answer66) The value of \[25{{x}^{2}}+16{{y}^{2}}+40xy\] at \[x=1\] and \[y=1\]is
A) 81
B) \[49\]
C) 1
D) None of these
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question_answer67) \[\left( 3A+B \right)3\left( AB \right)\]equals
A) \[4A\]
B) \[4B\]
C) \[2A+2B\]
D) \[4A2B\]
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question_answer68) \[{{x}^{2}}{{(x)}^{2}}\]is equal to
A) \[2{{x}^{2}}\]
B) \[2{{x}^{2}}\]
C) \[{{x}^{4}}\]
D) \[0\]
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question_answer69) What should be added to\[3p+7q16\] to get the sum 8?
A) \[8\]
B) \[3p+7q+8\]
C) \[3p7q+8\]
D) \[3p7q+24\]
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question_answer70) If \[5x+2=5,\] then\[x\]equals
A) \[\frac{4}{5}\]
B) \[\frac{2}{5}\]
C) \[\frac{3}{5}\]
D) \[\frac{6}{5}\]
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question_answer71) What value of \[y\] would make expressions \[4y+5\] and\[y+15\]equal?
A) \[1\]
B) \[2\]
C) \[2\]
D) \[1\]
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question_answer72) The value of \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}ab+bcac+a\]for\[a=1,b=2\] and \[c=1\] is
A) 2
B) 4
C) 7
D) 5
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question_answer73) On solving \[\left( xy \right)\left( x+y \right)+\left( yz \right)\left( y+z \right)+\left( zx \right)\left( z+x \right)\]
A) \[0\]
B) \[1\]
C) \[1\]
D) \[2\]
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question_answer74) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. Match the like terms in the ColumnI and ColumnII and select correct option from the options given below:
A) \[\text{A}\,\text{ii},B\text{}\,\text{iii},C\text{}i,D\,\text{}iv\]
B) \[\text{A}\,\text{i},B\text{}\,\text{iii},C\text{}ii,D\,\text{}iv\]
C) \[\text{A}\,\text{iii},B\text{}\,\text{ii},C\text{}iv,D\,\text{}i\]
D) \[\text{A}\,\text{i},B\text{}\,\text{ii},C\text{}iii,D\,\text{}iv\]
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question_answer75) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns.
A) \[\text{A}\,\text{}\,\text{s,}\,\text{B}\,\text{}\,\text{r,}\,\text{C}\,\text{}\,\text{p,}\,\text{D}\,\text{}\,\text{q}\]
B) \[\text{A}\,\text{}\,\text{p,}\,\text{B}\,\text{}\,\text{q,}\,\text{C}\,\text{}\,\text{r,}\,\text{D}\,\text{}\,\text{s}\]
C) \[\text{A}\,\text{}\,\text{s,}\,\text{B}\,\text{}\,\text{q,}\,\text{C}\,\text{}\,\text{p,}\,\text{D}\,\text{}\,\text{r}\]
D) None of these
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question_answer76) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns.
A) \[\text{A}\,\text{}\,\text{r,}\,\text{B}\,\text{}\,\text{p,}\,\text{C}\,\text{}\,\text{q}\]
B) \[\text{A}\,\text{}\,\text{q,}\,\text{B}\,\text{}\,\text{r,}\,\text{C}\,\text{}\,\text{p}\]
C) \[\text{A}\,\text{}\,\text{p,}\,\text{B}\,\text{}\,\text{q,}\,\text{C}\,\text{}\,\text{r}\]
D) \[\text{A}\,\text{}\,\text{r,}\,\text{B}\,\text{}\,\text{q,}\,\text{C}\,\text{}\,\text{p}\]
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question_answer77) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. A B C D
A) 1 2 3 4
B) 1 4 2 3
C) 4 1 3 2
D) 4 1 2 3
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question_answer78) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. A B C D
A) 2 1 4 3
B) 2 1 3 4
C) 1 2 3 4
D) 1 2 4 3
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question_answer79) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns.
A) \[A\to 3;B\to 2;C\to 1\]
B) \[A\to 2;B\to 1;C\to 3\]
C) \[A\to 1;B\to 2;C\to 3\]
D) None of these
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question_answer80) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. A B C D
A) 1 2 3 4
B) 3 1 4 2
C) 2 1 3 4
D) 3 1 2 4
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question_answer81) Consider the following statements: (i) The value of\[{{\left( 5x3y \right)}^{2}}{{\left( 5x+3y \right)}^{2}}\]when\[x=1\]and\[y=\frac{1}{5}\]is 12. (ii) Algebraic identity used to solve \[{{\left( 25.732 \right)}^{2}}{{\left( 15.732 \right)}^{2}}\]is \[\left( ab \right)\left( a+b \right)\] (iii) Value of\[\left( x+4 \right)\left( x4 \right)\left( {{x}^{2}}+16 \right)\]is\[{{x}^{2}}64.\] Which of the above statement is/are true?
A) only (i) and (iii)
B) only (ii) and (iii)
C) only (i) and (ii)
D) (i), (ii) and (iii)
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question_answer82) For which equation(s) is \[x=3\]a solution? (i) \[2x5+3x=10\] (ii) \[\frac{x+7}{2}=2\] (iii) \[4x11=17\] (iv) \[9=(x1)+11\]
A) only (i)
B) (i) and (ii)
C) (i), (ii) and (iii)
D) (i), (ii) and (iv)
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question_answer83) Consider the statements given below. (i) If we fail to do the same mathematical operation on both sides of an equality, the equality does not hold. (ii) The value of the variable for which the equation is satisfied is called the solution of the equation. (iii) When we add two algebraic expressions, the unlike terms are added (iv) All monomials, binomials, trinomials and polynomials are called by the name algebraic expressions. Which of the above statements is/are incorrect?
A) only (i)
B) only (ii)
C) only (iii)
D) only (iv)
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question_answer84) 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 (A): Value of \[x\] in expression \[3x+3=153\] is 3. Reason (R): Variable \[x\] represent maximum times in this expression.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer85) 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 (A): An equation changes if the L.H.S. and R.H.S. are interchanged. Reason (R): Algebraic expression must contain at least one variable.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer86) 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 (A): \[3t>2\] is an in equation. Reason (R): For \[t=0\] and \[1,\,\,3t>2.\]
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer87) 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 A: \[x+y\] and \[2m+\text{2}n\] cannot be added to give a 2 term expression. Reason R: All the four terms are unlike.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer88) 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 A: 5 is added to both sides of the equation \[x+a=b\] but the value of the equation doesn't change. Reason R: If we perform the same mathematical operation on both sides of the equation its value doesn't change.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer89) 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 (A): The solution of the equation \[\frac{x}{2}+\frac{1}{2}=\frac{x}{3}\frac{1}{3}\] represents an integer which is between\[0\]and\[10.\] Reason (R): The solution of the equation \[2\left( 3x7 \right)+4\left( 3x+2 \right)=6\left( 5x+9 \right)+3\] is a rational number.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer90) 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 (A): Value of \[\frac{{{2}^{x+3}}\times {{3}^{2xy}}\times {{5}^{x+y+3}}\times {{6}^{y+1}}}{{{6}^{x+1}}\times {{10}^{y+3}}\times {{15}^{x}}}\] Reason: Value of x so that \[x={{(64)}^{\sqrt{\frac{1}{2}}}}{{(32)}^{\frac{4}{5}}}\]is \[\frac{3}{6}\]
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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