-
question_answer1)
If \[x+y=7:y+=8;+x=9,\]what is the value of \[x+y+z?\]
A)
12 done
clear
B)
9 done
clear
C)
7 done
clear
D)
16 done
clear
View Solution play_arrow
-
question_answer2)
What row is matched correctly?
Row | Expression | Term with factor x | Coefficient of x |
A | \[2x-4y\] | \[2x\] | \[-4\] |
B | \[x-3+y\] | \[x\] | 0 |
C | \[{{y}^{2}}q+2x\] | \[2x\] | \[x\] |
D | \[2z+2zx\] | \[2zx\] | \[2z\] |
A)
Row A done
clear
B)
Row B done
clear
C)
Row C done
clear
D)
Row D done
clear
View Solution play_arrow
-
question_answer3)
Which row is matched incorrectly?
Row | Expression | Coefficient of \[{{m}^{2}}\] | Coefficient of mn | Coefficient of \[{{n}^{2}}\] |
A | \[{{m}^{2}}-5mn+3m+{{n}^{2}}\] | 1 | \[-5\] | 1 |
B | \[{{n}^{2}}+5mn-6m+2m\] | 0 | 5 | 1 |
C | \[{{m}^{2}}+45mn-17m+2\] | 1 | 45 | 0 |
D | \[2{{n}^{2}}-23mn+7\] | 2 | \[-23\] | 1 |
A)
Row A done
clear
B)
Row B done
clear
C)
Row C done
clear
D)
Row D done
clear
View Solution play_arrow
-
question_answer4)
Which of the following statements is incorrect?
A)
The terms \[4{{x}^{2}}y\] and \[3x{{y}^{2}}\]are like terms. done
clear
B)
The coefficient of \[{{y}^{2}}\] in the expression \[-2{{x}^{2}}+8x{{y}^{2}}+39\,\,\text{is}\,\,8x.\] done
clear
C)
\[3,\text{ }x,\text{ }{{x}^{2}}\]and \[y\] are factors of \[3{{x}^{2}}y.\] done
clear
D)
The expression \[15{{p}^{2}}q+\] \[8p{{q}^{2}}\] \[+\] \[42pq\] \[+\]\[99\]contains 4 terms. done
clear
View Solution play_arrow
-
question_answer5)
What is the difference between a + b and a - b
A)
2b done
clear
B)
2a done
clear
C)
\[2a+2b~\] done
clear
D)
\[2a-2b~\] done
clear
View Solution play_arrow
-
question_answer6)
The length and breadth of a rectangular plot are l 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
clear
B)
\[1b-(1-r)(b-r)\] done
clear
C)
\[\left( 1+b-r \right)r~\] done
clear
D)
\[1b-\left( 1-2r \right)\left( b-2r \right)\] done
clear
View Solution play_arrow
-
question_answer7)
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 \[\underline{<}\] 9).
A)
\[kn-1\] done
clear
B)
\[2n+3\] done
clear
C)
\[3+n\] done
clear
D)
\[11n-10~\] done
clear
View Solution play_arrow
-
question_answer8)
\[{{P}_{1}}\] and \[{{P}_{2}}\] are polynomials and each is the additive inverse of the other, what does it mean?
A)
\[{{P}_{1}}={{P}_{2}}\] done
clear
B)
\[{{P}_{1}}+{{P}_{2}}\] is a zero polynomial done
clear
C)
\[{{P}_{1}}-{{P}_{2}}\] is a zero polynomial. done
clear
D)
\[{{P}_{1}}-{{P}_{2}}={{P}_{2}}-{{P}_{1}}\] done
clear
View Solution play_arrow
-
question_answer9)
Four pairs of terms are given as:
(i) \[16a\] and \[16b\] |
(ii) \[12ab\] and \[13ab\] |
(iii) \[-8xy\]and \[10yx\] |
(iv) \[8ab\] and \[8ac\] |
Which two given pairs are pairs of like terms?
A)
(i) and (iv) done
clear
B)
(i) and (iii) done
clear
C)
(ii) and (iii) done
clear
D)
(ii) and (iv) done
clear
View Solution play_arrow
-
question_answer10)
Four pairs of terms are given as:
(i)\[{{a}^{2}}\,\,\text{and}\,\,3ab\] |
(ii) \[3yz\] and \[6zy\] |
(iii) \[{{b}^{2}}\,\,\text{and}\,\,-11{{b}^{2}}~\] |
(iv) \[{{a}^{2}}b\,\,\text{and}\,\,3a{{b}^{2}}~\] |
Which two given pairs are pairs of unlike terms?
A)
(ii) and (iii) done
clear
B)
(ii) and (iv) done
clear
C)
(i) and (iii) done
clear
D)
(i) and (iv) done
clear
View Solution play_arrow
-
question_answer11)
Which algebraic expression correctly represents the statement twice the number \[\] subtracted from one ?half the product of\[x\]and\[y\]?
A)
\[\frac{xy}{2}=2\] done
clear
B)
\[\frac{xy}{2}-2\] done
clear
C)
\[2xy-\frac{}{2}\] done
clear
D)
\[\frac{}{2}-2xy\] done
clear
View Solution play_arrow
-
question_answer12)
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
clear
B)
\[{{x}^{2}}{{y}^{2}}-\left( {{x}^{2}}+{{y}^{2}} \right)\] done
clear
C)
\[{{(x+y)}^{2}}-{{x}^{2}}{{y}^{2}}\] done
clear
D)
\[{{x}^{2}}{{y}^{2}}-{{(x+y)}^{2}}\] done
clear
View Solution play_arrow
-
question_answer13)
If \[\left( a-\frac{1}{a} \right)=7\], then the value \[{{a}^{2}}+\frac{1}{{{a}^{2}}}\] is:
A)
50 done
clear
B)
51 done
clear
C)
49 done
clear
D)
47 done
clear
View Solution play_arrow
-
question_answer14)
The zero of the polynomial \[\frac{4}{7}b-\frac{7}{15}\]is...............
A)
\[\frac{49}{60}\] done
clear
B)
\[\frac{100}{71}\] done
clear
C)
70 done
clear
D)
None of these done
clear
View Solution play_arrow
-
question_answer15)
The product of \[1\times \left( x-y \right)\left( x+y \right)\left( {{x}^{2}}+{{y}^{2}} \right)\]is
A)
\[{{x}^{2}}-{{y}^{2}}~\] done
clear
B)
\[{{x}^{4}}+{{y}^{4~}}~\] done
clear
C)
\[{{x}^{4}}-{{y}^{4}}~\] done
clear
D)
\[{{x}^{2}}+{{y}^{2}}~\] done
clear
View Solution play_arrow
-
question_answer16)
If\[m=\frac{ab}{a-b}\], then b equals.......
A)
\[\frac{m(a-b)}{a}\] done
clear
B)
\[\frac{ab-ma}{m}\] done
clear
C)
\[\frac{1}{1+1}\] done
clear
D)
\[\frac{ma}{m+a}\] done
clear
View Solution play_arrow
-
question_answer17)
In the figure given, what is the perimeter, in cm, of the triangle?
A)
\[\left( 8y+4x-3 \right)cm\] done
clear
B)
\[\left( 8y-4x+3 \right)cm\]c done
clear
C)
\[\left( 14y-2x-3 \right)cm~\] done
clear
D)
\[\left( 12xy-3 \right)cm~\]c done
clear
View Solution play_arrow
-
question_answer18)
If \[K=\frac{x-m}{x-n},\] find the value of\[x\].
A)
\[\frac{nK-m}{K-1}\] done
clear
B)
\[\frac{K-m}{K-n}\] done
clear
C)
\[\frac{K+m}{K+n}\] done
clear
D)
\[\frac{1+K}{m+nK}\] done
clear
View Solution play_arrow
-
question_answer19)
Match the following.
| Column-A | | Column-B |
(i) | \[4{{m}^{2}}p,\,\,4m{{p}^{2}}\] | (a) | Binomial |
(ii) | \[3x-2\] | (b) | Unlike terms |
(iii) | \[-7,\,\,\frac{15}{2}z\] | (c) | Trinomial |
(iv) | \[1+y+{{y}^{2}}\] | (d) | Like terms |
A)
(i) - (a), (ii) - (b), (iii) - (c), (iv) - (d) done
clear
B)
(i) - (b), (ii) - (a), (iii) - (d), (iv) - (c) done
clear
C)
(i) - (d), (ii) - (c), (iii) - (b), (iv) - (a) done
clear
D)
(i) - (b), (ii) - (c), (iii) - (a), (iv) - (d) done
clear
View Solution play_arrow
-
question_answer20)
Match the following.
| Column-A | | Column-B |
(i) | \[{{a}^{3}}-{{b}^{3\,\,\,}}\]when a=3 and b=2 | (a) | 0 |
(ii) | \[{{z}^{3}}-13(z+10)\,\]when z=-10 | (b) | \[-22\] |
(iii) | \[{{x}^{2}}+2x+1\] When x=-1 | (c) | \[-1000\] |
(iv) | \[5p-12\]when p=-2 | (d) | 19 |
A)
(i) - (d), (ii) - (a), (iii) - (b), (iv) - (c) done
clear
B)
(i) - (d), (ii) - (c), (iii) - (b), (iv) - (a) done
clear
C)
(i) - (a), (ii) - (b), (iii) - (c), (iv) - (d) done
clear
D)
(i) - (d), (ii) - (c), (iii) - (a), (iv) - (b) done
clear
View Solution play_arrow
-
question_answer21)
By how much is \[{{({{x}^{2}}-{{y}^{2}})}^{2}}\] less than \[{{x}^{4}}+8{{x}^{2}}{{y}^{2}}+{{y}^{4}}?\]
A)
\[-12{{x}^{2}}{{y}^{2}}\] done
clear
B)
\[10{{x}^{2}}{{y}^{2}}\] done
clear
C)
\[-12xy\] done
clear
D)
\[10xy\] done
clear
View Solution play_arrow
-
question_answer22)
What is the sum of \[\frac{{{a}^{2}}}{2}-\] \[\frac{{{b}^{3}}}{3}-\] \[\frac{{{c}^{3}}}{4};\] \[\frac{2{{a}^{2}}}{3}-\] \[\frac{3{{b}^{3}}}{4}-\]\[\frac{4{{c}^{3}}}{5}\]and\[{{a}^{2}}+{{b}^{3}}+{{c}^{3}}\]?
A)
\[\frac{13}{6}a-\frac{1}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] done
clear
B)
\[\frac{13}{6}a-\frac{21}{20}{{b}^{3}}+\frac{25}{12}{{c}^{3}}\] done
clear
C)
\[\frac{13}{6}{{a}^{2}}+\frac{5}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] done
clear
D)
\[\frac{23}{6}{{b}^{2}}+\frac{25}{12}{{a}^{3}}-\frac{1}{20}{{c}^{3}}\] done
clear
View Solution play_arrow
-
question_answer23)
Simplify the following expression. \[x\left( y-z \right)+y\left( z-x \right)+z\left( x-y \right)\]
A)
0 done
clear
B)
\[2y\left( z-x \right)~\] done
clear
C)
\[2x\left( z-y \right)~\] done
clear
D)
\[2z\left( x-y \right)~\] done
clear
View Solution play_arrow
-
question_answer24)
What is the \[{{6}^{th}}\] term of a pattern described by the expression\[{{n}^{2}}-1?\]
A)
33 done
clear
B)
35 done
clear
C)
37 done
clear
D)
6 done
clear
View Solution play_arrow
-
question_answer25)
What is the expression related to the pattern 7, 11, 15, ........?
A)
\[2n-1~\] done
clear
B)
\[4n+3~\] done
clear
C)
\[4n+1\] done
clear
D)
\[{{n}^{2}}-1\] done
clear
View Solution play_arrow
-
question_answer26)
Which expression gives the predecessor of a natural number 'n'?
A)
\[2n-1~\] done
clear
B)
\[n+1\] done
clear
C)
\[n-1\] done
clear
D)
\[2n+1\] done
clear
View Solution play_arrow
-
question_answer27)
For any natural number\[n\], what does \[2n+1\] denote?
A)
An even number done
clear
B)
An odd number done
clear
C)
A composite number done
clear
D)
A prime number done
clear
View Solution play_arrow
-
question_answer28)
What do we call the algebraic terms with same literal coefficients?
A)
Equivalent done
clear
B)
Unlike terms done
clear
C)
Constants done
clear
D)
Like terms done
clear
View Solution play_arrow
-
question_answer29)
If\[a+\frac{1}{a}=6\], then the value of \[\left( a-\frac{1}{a} \right)\]is
A)
\[\sqrt{32}\] done
clear
B)
\[\sqrt{49}\] done
clear
C)
\[\sqrt{140}\] done
clear
D)
None of these done
clear
View Solution play_arrow
-
question_answer30)
What is the value of\[a{{x}^{2}}+\text{ }bx+c\text{ }at\text{ }x=\frac{+b}{a}?\]
A)
a done
clear
B)
\[{{b}^{2}}-4ac\] done
clear
C)
\[c+\frac{2{{b}^{2}}}{a}\] done
clear
D)
\[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\] done
clear
View Solution play_arrow
-
question_answer31)
If \[5x-\frac{1}{2x}=6,\] then the value of \[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\] is:
A)
31 done
clear
B)
37 done
clear
C)
39 done
clear
D)
41 done
clear
View Solution play_arrow
-
question_answer32)
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
clear
B)
\[{{x}^{3}}+\frac{1}{{{x}^{3}}}\] done
clear
C)
\[{{x}^{4}}-\frac{1}{{{x}^{4}}}\] done
clear
D)
\[{{x}^{4}}+\frac{1}{{{x}^{4}}}\] done
clear
View Solution play_arrow
-
question_answer33)
The real factors of \[{{x}^{4}}+9\]are
A)
\[\left( {{x}^{2}}+3 \right)\left( {{x}^{2}}+3 \right)\] done
clear
B)
\[\left( {{x}^{2}}+3 \right)\left( {{x}^{2}}-3 \right)\] done
clear
C)
\[\left( {{x}^{2}}+2x+3 \right)\left( {{x}^{2}}-3x+3 \right)~\] done
clear
D)
Does not exist done
clear
View Solution play_arrow
-
question_answer34)
The value of which of the following expressions is 66 for \[a=-2~\]and \[b=5?~\]
A)
\[{{a}^{2}}+3ab-{{b}^{2~}}\] done
clear
B)
\[6{{a}^{2}}-5ab\] done
clear
C)
\[-3{{a}^{2}}-ab+6{{b}^{2}}\] done
clear
D)
\[-{{a}^{2}}-2ab+2{{b}^{2}}\] done
clear
View Solution play_arrow
-
question_answer35)
If \[p+\frac{9}{5}(30-p)=10\]then find ?p?:
A)
\[-50\] done
clear
B)
55 done
clear
C)
\[-50\] done
clear
D)
+50 done
clear
View Solution play_arrow
-
question_answer36)
Express in the simplest form \[{{\left( t+\frac{1}{t} \right)}^{2}}+4t={{\left( t-\frac{1}{t} \right)}^{2}}\]
A)
\[2{{t}^{2}}+\frac{2}{{{t}^{2}}}+4t=0\] done
clear
B)
4 done
clear
C)
\[4t+4=0\] done
clear
D)
\[2t+2=0\] done
clear
View Solution play_arrow
-
question_answer37)
Simplify\[\frac{4}{11}(132x+88)+\frac{3}{11}(66x-66)\]
A)
\[66x+14\] done
clear
B)
\[66x-14\] done
clear
C)
\[66x-14x\] done
clear
D)
\[66+14x\] done
clear
View Solution play_arrow
-
question_answer38)
'S' packets of 12 sweets each are divides equally among 10 children. How many sweets does each child get?
A)
6S done
clear
B)
\[3S-5\] done
clear
C)
6S done
clear
D)
\[6S-10\] done
clear
View Solution play_arrow
-
question_answer39)
The angles of a quadrilateral are \[(p+25){}^\circ ,\] \[2p{}^\circ ,\] \[(2p-15){}^\circ \]and\[(p+20){}^\circ \]. What is the value of the largest angle?
A)
\[105{}^\circ \] done
clear
B)
\[110{}^\circ ~\] done
clear
C)
\[115{}^\circ \] done
clear
D)
\[135{}^\circ ~~\] done
clear
View Solution play_arrow
-
question_answer40)
The value of the expression \[(2{{x}^{2}}+2xy-y-1)\] is 1 at\[x=0\]. What is the value of y?
A)
\[-2\] done
clear
B)
2 done
clear
C)
3 done
clear
D)
4 done
clear
View Solution play_arrow