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question_answer1)
Find the value of \[{{(175+125)}^{2}}-4\times 175\times 125.\]
A)
1225 done
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B)
2500 done
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C)
1600 done
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D)
2025 done
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question_answer2)
Find the degree of the polynomial \[2{{x}^{5}}-10{{x}^{4}}-5{{x}^{2}}+12{{x}^{8}}-6.\]
A)
4 done
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B)
2 done
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C)
8 done
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D)
1 done
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question_answer3)
Find the remainder obtained when \[{{x}^{3}}-3{{x}^{2}}-2x-5\]is divided by \[x+2.\]
A)
-5 done
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B)
5 done
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C)
0 done
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D)
-21 done
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question_answer4)
Find the product of \[(3{{x}^{2}}-5x+4)\] and \[(2x).\]
A)
\[~{{x}^{3}}-10{{x}^{2}}+8x\] done
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B)
\[~6{{x}^{3}}-{{x}^{2}}+x\] done
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C)
\[~6{{x}^{3}}-10{{x}^{2}}+8x\] done
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D)
\[{{x}^{3}}-{{x}^{2}}+8x\] done
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question_answer5)
lf\[x+y=7\]and \[xy=12\]find the value of \[{{x}^{2}}+{{y}^{2}}.\]
A)
24 done
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B)
25 done
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C)
26 done
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D)
23 done
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question_answer6)
Which of the following are NOT polynomials?
(i) \[2{{x}^{2}}+12\sqrt{x}-5\] (ii) \[3{{x}^{8}}-10{{x}^{2}}+6{{x}^{5}}-5x-2\] (iii) \[7{{x}^{4}}-3{{x}^{3}}+\frac{10}{{{x}^{2}}}-6x+4\] (iv) \[8{{x}^{4}}-6{{x}^{2}}+10x-7\] |
A)
Only (i) and (ii) done
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B)
Only (ii) and (iii) done
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C)
Only (i) and (iv) done
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D)
Only (ii) and (iv) done
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question_answer7)
Which of these polynomials has only one term?
A)
Trinomial done
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B)
Binomial done
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C)
Monomial done
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D)
Linear polynomial done
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question_answer8)
Find the value of \[{{(98)}^{2}}.\]
A)
9608 done
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B)
9680 done
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C)
9604 done
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D)
9898 done
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question_answer9)
What should be added to \[1+2x-3{{x}^{2}}\]to get\[{{x}^{2}}-x-1?\]
A)
\[~2{{x}^{2}}-\text{ }x+2\] done
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B)
\[~4{{x}^{2}}-3x-2\] done
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C)
\[{{x}^{2}}-3x-2\] done
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D)
\[2{{x}^{2}}-3x-2\] done
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question_answer10)
Find the degree of 2013.
A)
1 done
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B)
3 done
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C)
2 done
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D)
0 done
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question_answer11)
Find the value of \[\frac{{{(469+174)}^{2}}-{{(469-174)}^{2}}}{469\times 174}.\]
A)
2 done
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B)
4 done
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C)
295 done
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D)
643 done
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question_answer12)
Find the factors A and B of \[{{x}^{2}}+10x+21\]in the form AB.
A)
(x - 3) (x - 7) done
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B)
(x + 3) (x + 7) done
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C)
(x - 3) (x + 7) done
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D)
(x + 3) (x,-7) done
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question_answer13)
lf\[A=4{{x}^{2}}+{{y}^{2}}-6xy,\,B=3{{y}^{2}}+12{{x}^{2}}+8xy\] and \[C=6{{x}^{2}}+8{{y}^{2}}+6xy,\]find A + B + C.
A)
\[10{{x}^{2}}+9{{y}^{2}}+8xy\] done
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B)
\[20{{x}^{2}}+11{{y}^{2}}+14xy\] done
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C)
\[10{{y}^{2}}-9{{x}^{2}}-8xy\] done
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D)
\[22{{x}^{2}}+12{{y}^{2}}+8xy\] done
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question_answer14)
Name a polynomial containing two terms.
A)
Monomial done
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B)
Binomial done
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C)
Trinomial done
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D)
Biquadratic polynomial done
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question_answer15)
What should be taken away from \[3{{x}^{2}}-4{{y}^{2}}+5xy+20\]to get \[-{{x}^{2}}-{{y}^{2}}+6xy-20?\]
A)
\[2{{x}^{2}}-5{{y}^{2}}+11xy+40\] done
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B)
\[4{{x}^{2}}-3{{y}^{2}}-xy+40\] done
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C)
\[2{{x}^{2}}-3{{y}^{2}}-xy+20\] done
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D)
\[4{{x}^{2}}-3{{y}^{2}}-11xy-40\] done
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question_answer16)
Simplify \[(1+x)(1+{{x}^{2}})(1+{{x}^{4}})(1+{{x}^{8}})(1-x).\]
A)
\[1+{{x}^{16}}\] done
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B)
\[1-{{x}^{16}}\] done
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C)
\[{{x}^{16}}-1\] done
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D)
\[{{x}^{8}}+1\] done
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question_answer17)
What is the simplified form of \[\frac{4}{11}(66f+44)+\frac{3}{11}(33f-33)?\]
A)
22f + 8 done
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B)
11f - 3 done
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C)
33f + 7 done
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D)
44f + 8 done
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question_answer18)
There are 20 chickens on a farm. In a week, 12 of them lay 'p' eggs each and the rest lay p + 4 eggs each. How many eggs are laid altogether in a week?
A)
12p + 48 done
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B)
8p + 16 done
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C)
6p + 24 done
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D)
20p + 32 done
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question_answer19)
Find the area of a rectangular field (a + 7) m long and (a - 2) m wide.
A)
\[\text{(}{{a}^{2}}-5a-14\text{) }sq.\text{ }m\] done
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B)
\[\text{(}{{a}^{2}}+9a+14\text{) }sq.\text{ }m\] done
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C)
\[\text{(}{{a}^{2}}-9a-14\text{) }sq.\text{ }m\] done
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D)
\[({{a}^{2}}+5a-14)\text{ }sq.\text{ }m\] done
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question_answer20)
Which is the correct factorization of \[{{x}^{2}}-5x-14?\]
A)
\[(x-2)(x-7)\] done
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B)
\[(x-2)(x+7)\] done
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C)
\[(x+2)(x-7)\] done
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D)
\[(x-1)(x+14)\] done
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question_answer21)
Find the coefficient of \[x\] in \[{{(x+2)}^{2}}+{{(x-1)}^{2}}.\]
A)
5 done
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B)
2 done
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C)
1 done
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D)
-4 done
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question_answer22)
Find the value of \[37\times 43\].
A)
1591 done
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B)
1221 done
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C)
3191 done
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D)
2021 done
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question_answer23)
The length and width of a rectangle are d cm and (d - 8) cm respectively. What is the perimeter of the rectangle?
A)
4d - 16 cm done
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B)
2d - 8 cm done
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C)
2d + 8 cm done
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D)
8d - 18 cm done
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question_answer24)
In the product\[(x+1)(x+2)(x+3),\] what is the coefficient of\[x?\]
A)
6 done
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B)
12 done
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C)
11 done
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D)
10 done
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question_answer25)
Find the value of\[5{{a}^{2}}(a-2)-8(a+5)+16,\]when \[a=2.\]
A)
40 done
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B)
-40 done
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C)
0 done
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D)
20 done
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question_answer26)
Find the length of the line segment BC in terms of ?m? in the following figure.
A)
\[{{m}^{2}}+m-3\] done
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B)
\[7{{m}^{2}}+2m-3\] done
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C)
\[{{m}^{2}}+7m-7\] done
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D)
\[{{m}^{2}}-m-6\] done
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question_answer27)
Find the perimeter of the following triangle.
A)
\[6x+3y+2z\] done
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B)
\[4x-y-2z\] done
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C)
\[5x-3y-2z\] done
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D)
\[7x-10y+7z\] done
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question_answer28)
If \[A=5{{x}^{3}}-3{{x}^{2}}+2x-5\]and \[B=3{{x}^{3}}-{{x}^{2}}-x+2,\]find the value of \[A-B.\]
A)
\[8{{x}^{3}}-4{{x}^{2}}+x-3\] done
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B)
\[2{{x}^{3}}+{{x}^{2}}-3x+7\] done
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C)
\[8{{x}^{3}}-4{{x}^{2}}+x-3\] done
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D)
\[2{{x}^{3}}-2{{x}^{2}}+3x-7\] done
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question_answer29)
Identify the missing value
\[\frac{4.2\times 4.2-1.9\times 1.9}{2.3\times 6.1}=?\] |
A)
2.3 done
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B)
1 done
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C)
6.1 done
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D)
-2.3 done
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question_answer30)
Find the quotient when\[64{{a}^{2}}{{b}^{2}}{{c}^{3}}\]is divided by \[-16{{a}^{2}}{{b}^{2}}{{c}^{2}}.\]
A)
\[{{a}^{2}}c\] done
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B)
\[-2{{a}^{2}}c\] done
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C)
\[3{{a}^{2}}c\] done
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D)
\[-4{{a}^{2}}c\] done
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question_answer31)
What is the simplest form of \[1-[1-1-(1-1+x)]?\]
A)
\[2-x\] done
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B)
\[~1\text{ }+\text{ }x\] done
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C)
\[~1-x\] done
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D)
\[2+x\] done
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question_answer32)
Find the value of \[\frac{pq-{{p}^{3}}q}{1-{{p}^{2}}}.\]
A)
q done
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B)
\[pq\] done
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C)
\[q(1+p)\] done
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D)
\[1-{{p}^{2}}\] done
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question_answer33)
When is the expression \[f(x)={{a}_{0}}{{x}^{n}}+{{a}_{1}}{{x}^{n-1}}+{{a}_{2}}{{x}^{n-2}}+....+{{a}_{n-1}}x+{{a}_{n}}\]a polynomial of degree n?
A)
Only when n is a positive integer. done
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B)
If n is a negative integer and \[{{a}_{n}}\ne 0.\] done
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C)
If n is a positive integer and\[{{a}_{0}}\ne 0.\] done
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D)
If n is any integer. done
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question_answer34)
Find the quotient and remainder, when \[{{x}^{3}}+2{{x}^{2}}-3x+4\]is divided by \[2{{x}^{2}}-5x+1.\]
A)
\[\frac{1}{2}x+\frac{9}{4},\frac{31x+25}{4}\] done
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B)
\[\frac{1}{2}x-\frac{9}{4},\frac{31x-25}{4}\] done
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C)
\[\frac{1}{2}x+\frac{9}{4},\frac{31x+7}{4}\] done
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D)
\[\frac{1}{2}x-\frac{9}{4},\frac{31x+7}{4}\] done
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question_answer35)
Which of the following expressions is a polynomial?
A)
\[3{{x}^{1/2}}-4x+3\] done
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B)
\[4{{x}^{2}}-3x+\frac{5}{x}\] done
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C)
\[3{{x}^{2}}-2xy+5{{x}^{4}}\] done
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D)
\[2{{x}^{4}}+\frac{3}{{{x}^{2}}}-1\] done
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question_answer36)
Find the value of \[{{(10.1)}^{2}}.\]
A)
102.10 done
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B)
120.01 done
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C)
120.10 done
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D)
102.01 done
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question_answer37)
What is the remainder when\[2{{x}^{4}}+21\text{ }{{x}^{3}}+35{{x}^{2}}\]\[-37x+46\] is divided by 2x + 7?
A)
-4 done
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B)
6 done
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C)
4 done
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D)
-6 done
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question_answer38)
What is the simplified form of \[\frac{{{x}^{2}}+8x+16}{x+3}+\frac{2x+8}{{{x}^{2}}-9}?\]
A)
\[\frac{2{{(x+4)}^{2}}}{(x-3){{(x+3)}^{2}}}\] done
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B)
\[\frac{2(x+3)(x-3)}{x+4}\] done
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C)
\[\frac{(x+4)(x-3)}{2}\] done
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D)
\[\frac{(x+4){{(x-3)}^{2}}}{2(x+3)}\] done
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question_answer39)
Find the volume of a cuboid \[2{{x}^{2}}y\,m\]long, \[3{{y}^{2}}z\,m\]broad and \[5x{{z}^{2}}m\]high.
A)
\[24{{x}^{2}}{{y}^{2}}{{z}^{2}}\] done
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B)
\[30{{x}^{3}}{{y}^{3}}{{z}^{3}}\] done
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C)
\[32{{x}^{2}}{{y}^{2}}{{z}^{2}}\] done
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D)
\[25{{x}^{2}}{{y}^{3}}{{z}^{3}}\] done
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question_answer40)
Simplify \[5x(4x-10)+120\] and find its value f or\[x=2.\]
A)
140 done
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B)
100 done
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C)
130 done
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D)
150 done
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