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question_answer1)
Which of the following statements is incorrect?
A)
The terms \[4{{x}^{2}}y\] and \[3x{{y}^{2}}\] are like terms. done
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B)
The coefficient of \[{{y}^{2}}\] in the expression \[-2{{x}^{2}}y+8x{{y}^{2}}+39\] is\[8x\]. done
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C)
\[3,\,\,x,\,\,{{x}^{2}}\]and y are factors of\[3{{x}^{2}}y\]. done
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D)
The expression \[15{{p}^{2}}q+8p{{q}^{2}}+42pq+99\]contains 4 terms. done
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question_answer2)
What is the difference between \[a+b\] and \[a-b\]
A)
\[2b\] done
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B)
\[2a\] done
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C)
\[2a+2b\] done
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D)
\[2a-2b\] done
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question_answer3)
The length and breadth of a rectangular plot are \[1\] and\[b\]. Two rectangular paths each of width 'r' run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths?
A)
\[(1+r)(b+r)-1b\] done
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B)
\[1b-(1-r)(b-r)\] done
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C)
\[(1+b-r)r\] done
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D)
\[1b-(1-2r)(b-2r)\] done
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question_answer4)
In a two digit number, the units digit is n and tens digit is\[(n-1)\]. What is the value of the number? (Where\[n\le 9\]).
A)
\[kn-1\] done
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B)
\[2n+3\] done
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C)
\[3+n\] done
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D)
\[11n-10\] done
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question_answer5)
\[{{P}_{1}}\]and \[{{P}_{2}}\] are polynomials and each is the additive inverse of the other, what does it mean?
A)
\[{{P}_{1}}={{P}_{2}}\] done
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B)
\[{{P}_{1}}+{{P}_{2}}\]is a zero polynomial done
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C)
\[{{P}_{1}}-{{P}_{2}}\]is a zero polynomial. done
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D)
\[{{P}_{1}}-{{P}_{2}}={{P}_{2}}-{{P}_{1}}\] done
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question_answer6)
Four pairs of terms are given as:
(i) \[{{a}^{2}}\]and 3ab |
(ii) 3yz and 6zy |
(iii) \[{{b}^{2}}\]and\[-11{{b}^{2}}\] |
(iv) \[{{a}^{2}}b\]and \[3a{{b}^{2}}\] |
Which two given pairs are pairs of unlike terms?
A)
(ii) and (iii) done
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B)
(ii) and (iv) done
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C)
(i) and (iii) done
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D)
(i) and (iv) done
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question_answer7)
Which algebraic expression correctly represents the statement twice the number
subtracted from one -half the product of x and y?
A)
B)
C)
D)
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question_answer8)
Which algebraic expression correctly represents the statement: the square of the product of numbers x and y subtracted from the square of their sum?
A)
\[{{x}^{2}}+{{y}^{2}}-{{x}^{2}}{{y}^{2}}\] done
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B)
\[{{x}^{2}}{{y}^{2}}-\left( {{x}^{2}}+{{y}^{2}} \right)\] done
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C)
\[{{\left( x+y \right)}^{2}}-{{x}^{2}}{{y}^{2}}\] done
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D)
\[{{x}^{2}}{{y}^{2}}-{{\left( x+y \right)}^{2}}\] done
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question_answer9)
If \[\left( a-\frac{1}{a} \right)=7,\] then the value \[{{a}^{2}}+\frac{1}{{{a}^{2}}}\] is:
A)
50 done
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B)
51 done
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C)
49 done
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D)
47 done
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question_answer10)
The product of \[1\times (x-y)\,\,(x+y)\,({{x}^{2}}+{{y}^{2}})\] is
A)
\[{{x}^{2}}-{{y}^{2}}\] done
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B)
\[{{x}^{4}}+{{y}^{4}}\] done
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C)
\[{{x}^{4}}-{{y}^{4}}\] done
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D)
\[{{x}^{2}}+{{y}^{2}}\] done
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question_answer11)
If \[m=\frac{ab}{a-b},\]then \[b\]equals.......
A)
\[\frac{m\left( a-b \right)}{a}\] done
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B)
\[\frac{ab-ma}{m}\] done
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C)
\[\frac{1}{1+1}\] done
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D)
\[\frac{ma}{m+a}\] done
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question_answer12)
Simplify the following expression. \[x(y-z)+y(z-x)+z(x-y)\]
A)
0 done
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B)
\[2y(z-x)\] done
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C)
\[2x(z-y)\] done
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D)
\[2z(x-y)\] done
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question_answer13)
What is the 6th term of a pattern described by the expression \[{{n}^{2}}-1\]?
A)
33 done
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B)
35 done
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C)
37 done
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D)
6 done
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question_answer14)
What is the expression related to the pattern 7, 11, 15,......?
A)
\[2n-1\] done
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B)
\[4n+3\] done
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C)
\[4n+1\] done
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D)
\[{{n}^{2}}-1\] done
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question_answer15)
Which expression gives the predecessor of a natural number 'n'?
A)
\[2n-1\] done
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B)
\[n+1\] done
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C)
\[n-1\] done
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D)
\[2n+1\] done
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question_answer16)
For any natural number n, what does \[2n+1\]denote?
A)
An even number done
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B)
An odd number done
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C)
A composite number done
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D)
A prime number done
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question_answer17)
If \[a+\frac{1}{a}=6,\] then the value of \[\left( a-\frac{1}{a} \right)\] is
A)
\[\sqrt{32}\] done
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B)
\[\sqrt{49}\] done
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C)
\[\sqrt{140}\] done
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D)
None of these done
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question_answer18)
What is the value of \[a{{x}^{2}}+bx+c\] at\[x=\frac{+b}{a}\]?
A)
\[a\] done
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B)
\[{{b}^{2}}-4ac\] done
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C)
\[c+\frac{2{{b}^{2}}}{a}\] done
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D)
\[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\] done
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question_answer19)
On simplification the product\[\left( x-\frac{1}{x} \right)\]\[\left( x+\frac{1}{x} \right)\]\[\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)\]is
A)
\[{{x}^{3}}-\frac{1}{{{x}^{3}}}\] done
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B)
\[{{x}^{3}}+\frac{1}{{{x}^{3}}}\] done
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C)
\[{{x}^{4}}-\frac{1}{{{x}^{4}}}\] done
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D)
\[{{x}^{4}}+\frac{1}{{{x}^{4}}}\] done
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question_answer20)
The real factors of \[{{x}^{4}}+9\]are
A)
\[\left( {{x}^{2}}+3 \right)\left( {{x}^{2}}+3 \right)\] done
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B)
\[\left( {{x}^{2}}+3 \right)\left( {{x}^{2}}-3 \right)\] done
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C)
\[\left( {{x}^{2}}+2x+3 \right)\,\left( {{x}^{2}}-3x+3 \right)\] done
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D)
Does not exist done
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