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question_answer1)
Find the degree of the polynomial \[5{{x}^{3}}-6{{x}^{3}}y+4{{y}^{2}}-8\].
A)
\[3\] done
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B)
\[4\] done
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C)
\[2\] done
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D)
\[6\] done
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question_answer2)
What must be added to \[{{x}^{3}}+3x-8\] to get \[3{{x}^{3}}+{{x}^{2}}+6\]?
A)
\[2{{x}^{3}}+{{x}^{2}}-3x+14\] done
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B)
\[2{{x}^{2}}+{{x}^{2}}+14\] done
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C)
\[2{{x}^{3}}+{{x}^{2}}-6x-14\] done
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D)
\[-2{{x}^{3}}-{{x}^{2}}+6x-14\] done
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question_answer3)
What must be subtracted from \[{{x}^{3}}-3{{x}^{2}}+5x-1\]to get \[2{{x}^{3}}+{{x}^{2}}-4x+2\]?
A)
\[-{{x}^{3}}+4{{x}^{2}}-9x+3\] done
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B)
\[{{x}^{3}}+4{{x}^{2}}-9x+3\] done
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C)
\[{{x}^{3}}-4{{x}^{2}}+9x-3\] done
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D)
\[-{{x}^{3}}-4{{x}^{2}}+9x-3\] done
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question_answer4)
What is the measure of the third side of a triangle given that its two sides are \[{{a}^{2}}-2a+1\]and \[3{{a}^{2}}-5a+3\] and has a perimeter\[6{{a}^{2}}-4a+9\]?
A)
\[2{{a}^{2}}-3a-5\] done
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B)
\[2{{a}^{2}}+3a-5\] done
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C)
\[2{{a}^{2}}+3a+5\] done
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D)
\[2{{a}^{2}}-3a+5\] done
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question_answer5)
Two sides of a rectangle are \[(3p+5q)\] units and \[(5p-7q)\]units. What is its area in sq. units?
A)
\[15{{p}^{2}}+4pq-35{{q}^{2}}\] done
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B)
\[15{{p}^{2}}-4pq+35{{q}^{2}}\] done
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C)
\[15{{p}^{2}}+14pq+35{{q}^{2}}\] done
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D)
\[15{{p}^{2}}-14pq-35{{q}^{2}}\] done
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question_answer6)
Find the product of \[({{x}^{2}}+3x+5)\] and \[({{x}^{2}}-1)\].
A)
\[{{x}^{4}}+3{{x}^{3}}-4{{x}^{2}}-3x-5\] done
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B)
\[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}-3x-5\] done
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C)
\[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\] done
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D)
\[{{x}^{4}}-3{{x}^{3}}-4{{x}^{2}}+3x-5\] done
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question_answer7)
A The length of a rod is \[4x+5y-3z\,cm\] and the length of another is\[6x-3y+z\text{ }cm\]. By how much is the second rod longer than the first?
A)
\[2x+8y+4z\] done
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B)
\[2x-8y-4z\] done
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C)
\[2x+8y-4z\] done
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D)
\[2x-8y+4z\] done
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question_answer8)
The sum of two expressions is \[{{x}^{3}}-{{x}^{2}}+3x-2\]If one of them is \[{{x}^{2}}+5x-6.\]what is the other?
A)
\[{{x}^{3}}-2{{x}^{2}}-2x-4\] done
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B)
\[{{x}^{3}}+3{{x}^{2}}-2x+4\] done
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C)
\[{{x}^{3}}-2{{x}^{2}}-2x+4\] done
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D)
\[-{{x}^{3}}-2{{x}^{2}}+2x-4\] done
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question_answer9)
The difference of \[{{x}^{4}}+2{{x}^{2}}-3x+7\]and another polynomial is \[{{x}^{3}}+{{x}^{2}}+x-1\]. What is the other polynomial?
A)
\[{{x}^{4}}-{{x}^{3}}+{{x}^{2}}-4x+8\] done
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B)
\[{{x}^{3}}+{{x}^{2}}-4x+8\] done
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C)
\[{{x}^{4}}-{{x}^{3}}+{{x}^{2}}+4x-8\] done
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D)
\[{{x}^{4}}-{{x}^{3}}-{{x}^{2}}+4x-8\] done
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question_answer10)
Find the side of a square field of area \[\frac{9}{16}{{x}^{2}}+\frac{25}{36}{{y}^{2}}-\frac{5}{4}xy\,\,sq.\]units.
A)
\[\left( \frac{3}{4}x+\frac{5}{6}y \right)\] units done
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B)
\[\left( \frac{3}{5}x-\frac{5}{6}y \right)\] units done
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C)
\[\left( \frac{3}{5}x+\frac{5}{6}y \right)\]units done
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D)
\[\left( \frac{3}{4}x-\frac{5}{6}y \right)\]units done
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question_answer11)
If \[(3x-4)\,(5x+7)=15{{x}^{2}}-ax-28,\] what is the value of a?
A)
\[1\] done
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B)
\[-1\] done
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C)
\[-2\] done
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D)
\[2\] done
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question_answer12)
What is the difference obtained when \[{{x}^{3}}-x{{y}^{2}}+5{{x}^{2}}y-{{y}^{3}}\]is subtracted from \[-{{y}^{3}}-6{{x}^{2}}y-x{{y}^{2}}+{{x}^{3}}\]?
A)
\[2{{y}^{3}}-8{{x}^{2}}y+3x{{y}^{2}}-2{{x}^{3}}\] done
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B)
\[2{{x}^{3}}-2x{{y}^{2}}-{{x}^{2}}y-2{{y}^{3}}\] done
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C)
\[-11{{x}^{2}}y\] done
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D)
\[11{{x}^{2}}y\] done
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question_answer13)
Find the missing term in the following expression. \[{{\left( \frac{3x}{4}-\frac{4y}{3} \right)}^{2}}=\frac{9{{x}^{2}}}{16}+\_\_\_\_\_+\frac{16{{y}^{2}}}{9}\]
A)
\[2xy\] done
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B)
\[-2xy\] done
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C)
\[12xy\] done
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D)
\[-12xy\] done
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question_answer14)
What is the value of \[\frac{7.83\times 7.83-1.17\times 1.17}{6.66}\]?
A)
\[9\] done
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B)
\[6.66\] done
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C)
\[1.176\] done
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D)
\[-9\] done
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question_answer15)
If \[x-\frac{1}{x}=\sqrt{6},\] find the value of \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\].
A)
\[2\] done
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B)
\[4\] done
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C)
\[6\] done
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D)
\[8\] done
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question_answer16)
If \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=79,\] what is the value of \[x+\frac{1}{x}\]?
A)
\[7\] done
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B)
\[9\] done
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C)
\[\sqrt{79}\] done
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D)
\[-9\] done
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question_answer17)
If \[3x-7y=10\] and \[xy=-1,\]find the value of \[9{{x}^{2}}+49{{y}^{2}}\].
A)
\[58\] done
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B)
\[142\] done
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C)
\[104\] done
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D)
\[-104\] done
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question_answer18)
Given that \[x-\frac{1}{x}=5,\] find the value of \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\]
A)
\[-27\] done
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B)
\[23\] done
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C)
\[-9\] done
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D)
\[16\] done
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question_answer19)
Evaluate the expression \[81\text{ }{{p}^{2}}+16{{q}^{2}}-72pq\]when \[p=\frac{2}{3}\]. and \[q=\frac{3}{4}\] .
A)
\[-16\] done
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B)
\[9\] done
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C)
\[-9\] done
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D)
\[16\] done
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question_answer20)
What is the product of \[(4x-3y)\] and \[(16{{x}^{2}}+12xy+9{{y}^{2}})\]?
A)
\[{{(4x-3y)}^{3}}\] done
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B)
\[{{(16{{x}^{2}}+12xy+9{{y}^{2}})}^{2}}\] done
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C)
\[64{{x}^{3}}-27{{y}^{3}}\] done
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D)
\[64{{x}^{3}}+27{{y}^{3}}\] done
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question_answer21)
Using the identity \[{{(a-b)}^{2}}={{a}^{2}}-2ab+{{b}^{2}},\]find the value of\[~{{96}^{2}}\].
A)
\[9642\] done
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B)
\[9461\] done
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C)
\[9426\] done
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D)
\[9216\] done
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question_answer22)
Using the identity \[{{a}^{2}}-{{b}^{2}}=(a+b)\,(a-b),\]valuate\[24.7\times 25.3\].
A)
\[624.91\] done
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B)
\[642.91\] done
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C)
\[624.19\] done
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D)
\[642.19\] done
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question_answer23)
Given that \[pq=6\]and \[p+q=5,\]find the value of \[{{p}^{2}}+{{q}^{2}}\].
A)
\[300\] done
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B)
\[37\] done
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C)
\[13\] done
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D)
\[12\] done
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question_answer24)
The side of a square is \[17\text{ }cm\] and the side of another is\[983\text{ }cm\]. What is the difference of their areas in sq. cm?
A)
\[900660\] done
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B)
\[966000\] done
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C)
\[960600\] done
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D)
\[906600\] done
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question_answer25)
What is the value of \[\frac{{{(67.542)}^{2}}-{{(32.458)}^{2}}}{75.458-40.374}\]?
A)
\[1\] done
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B)
\[10\] done
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C)
\[100\] done
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D)
\[1000\] done
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question_answer26)
A room is of dimensions 6x feet in length and 4y feet in breadth. A table measuring 2x feet in length and y feet in breadth is in a corner of the room. Find the area of the room not occupied by the table.
A)
\[22\,xy\,\,sq\,\,feet\] done
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B)
\[24\,xy\,\,sq\,\,feet\] done
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C)
\[26\,xy\,\,sq\,\,feet\] done
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D)
\[20\,xy\,\,sq\,\,feet\] done
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question_answer27)
Simplify \[\frac{3(3x+4)}{2}+\frac{5(x-3)}{3}-\frac{3(2x-5)}{4}\]
A)
\[\frac{57x-56}{12}\] done
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B)
\[\frac{56x+57}{12}\] done
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C)
\[\frac{57x+56}{12}\] done
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D)
\[\frac{56x-57}{12}\] done
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question_answer28)
Lf \[x+y=6\]and \[3x-y=4\]find the value of \[x-y\].
A)
\[-1\] done
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B)
\[0\] done
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C)
\[2\] done
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D)
\[4\] done
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question_answer29)
If the product of two numbers is 10 and their sum is 7, what is the larger of the two numbers?
A)
\[-2\] done
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B)
\[2\] done
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C)
\[5\] done
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D)
\[4\] done
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question_answer30)
Find the value of the product \[\left( 3+\frac{5}{x} \right)\left( 9-\frac{15}{x}+\frac{25}{{{x}^{2}}} \right)\] at \[x=1.\]
A)
\[150\] done
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B)
\[148\] done
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C)
\[152\] done
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D)
\[146\] done
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question_answer31)
The volume V, of a solid is given by the formula \[V=\pi ({{R}^{2}}-{{r}^{2}})h.\] Find the value of V, given that \[R=8,\text{ }r=5,\text{ }h=3\frac{1}{2}\]and \[\pi =\frac{22}{7}\].
A)
\[393\] done
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B)
\[429\] done
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C)
\[492\] done
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D)
\[294\] done
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question_answer32)
The area A, of a solid is given by the formula \[A=\pi {{r}^{2}}+2\,\pi \,rh+\pi \,rl.\]. Find the value of A given that \[\pi =3.142,\,r=10,\,h=3\] and \[l=4\].
A)
\[629\] done
clear
B)
\[628.4\] done
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C)
\[630\] done
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D)
\[631\] done
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question_answer33)
Mother bought some vegetables for Rs. x and some fruits for Rs.3. If she gave Rs.10, to the shopkeeper, how much change did she receive?
A)
\[Rs.\,(13-x)\] done
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B)
\[Rs.\,(7+x)\] done
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C)
\[Rs.\,(13+x)\] done
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D)
\[Rs.\,(7-x)\] done
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question_answer34)
Ajit is 21 years younger than his father. What is their total age in 7 years time?
A)
\[(x+28)\] years done
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B)
\[(x+35)\] years done
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C)
\[(2x+28)\] years done
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D)
\[(2x+35)\] years done
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question_answer35)
If the perimeter of the figure given is \[57cm,\]find the perimeter of the triangle in the figure, in the figure.
A)
\[30\text{ }cm\] done
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B)
\[\text{45 }cm\] done
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C)
\[39\text{ }cm\] done
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D)
\[3\text{ }cm\] done
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question_answer36)
A concert hall with 1000 seats is completely w filled with x boys, y girls and adults. Admission fee for an adult is Rs. 10 while a child pays \[\frac{1}{2}\] the price. Find in terms of x and y; the total amount collected.
A)
\[Rs.\,2(3000+x+y)\] done
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B)
\[Rs.\,(6000-x-y)\] done
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C)
\[Rs.\,(2000-x-y)\] done
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D)
\[Rs.\,5(2000-x-y)\] done
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question_answer37)
A steel rod is cut into 3 pieces. The second piece is twice as long as the first piece while the third piece is \[20\text{ }cm\] longer than the second piece. If the shortest piece is \[2x\text{ }cm,\] find the length of the rod in metres.
A)
\[(x-5)\,m\] done
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B)
\[(x+5)\,m\] done
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C)
\[\left( \frac{x+2}{10} \right)m\] done
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D)
\[\left( x+\frac{1}{5} \right)m\] done
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question_answer38)
Given that \[T=\frac{2\,\pi \,l}{\sqrt{{{l}^{2}}+{{g}^{2}}}},\] find the value of T if \[\pi =3.142,\,\,\,l=7.89\] and \[g=9.81\], (Give your answer correct to 3 significant figures.)
A)
\[3.94\] done
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B)
\[394\] done
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C)
\[39.4\] done
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D)
\[4.39\] done
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question_answer39)
If \[2a-\frac{1}{2a}=3,\]evaluate \[16{{a}^{4}}+\frac{1}{16{{a}^{4}}}.\]
A)
\[123\] done
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B)
\[119\] done
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C)
\[117\] done
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D)
\[121\] done
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question_answer40)
A set of school uniform consists of a shirt w and a pair of trousers for boys and a blouse and a skirt for girls. A shirt costs Rs. x and a pair of trousers costs Rs. 5 more. A blouse costs Rs. y and a skirt costs Rs. 3 more. A class has 40 pupils of which 25 are boys. Each pupil orders 2 sets of uniform. Find (in simplest form) in terms of x and y, the total amount in rupees paid by the pupils.
A)
\[5x-3y+17\] done
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B)
\[5x+3y+17\] done
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C)
\[5x+3y-17\] done
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D)
\[5x-3y-17\] done
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question_answer41)
If \[\frac{17-3x}{5}-\frac{4x+2}{3}=5-6x+\frac{7x+14}{3},\]find the value of x.
A)
\[2\] done
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B)
\[4\] done
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C)
\[-4\] done
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D)
\[-2\] done
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question_answer42)
Mohan has Rs. P. Naveen has 4 times as much money as Mohan. Also Naveen has Rs.15 more than Mohan. How much money do they have altogether?
A)
\[Rs.\,20\] done
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B)
\[Rs.\,5\] done
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C)
\[Rs.\,15\] done
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D)
\[Rs.\,25\] done
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question_answer43)
If Sudhir will be x years old in 3 years, how old was he 5 years ago?
A)
\[(x+3)\]years done
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B)
\[(x-8)\]years done
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C)
\[(x-5)\] years done
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D)
\[(x-3)\] years done
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question_answer44)
60 equally priced downloads cost x. How much do 9 downloads cost?
A)
\[Rs.\frac{20}{3x}\] done
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B)
\[Rs.\frac{9x}{20}\] done
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C)
\[Rs.\frac{20x}{3}\] done
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D)
\[Rs.\frac{3x}{20}\] done
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question_answer45)
lf n is a negative integer, which of the following must be a positive integer?
A)
\[n+2\] done
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B)
\[2n\] done
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C)
\[{{n}^{2}}-5\] done
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D)
\[{{n}^{2}}+1\] done
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