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question_answer1)
The value of \[\left( -5{{x}^{2}}y \right)\times \left( -\frac{2}{3}x{{y}^{2}}z \right)\times \]\[\left( \frac{8}{15}xy{{z}^{2}} \right)\times \left( -\frac{1}{4}z \right)\]is _________.
A)
\[-\frac{4}{9}{{x}^{4}}{{y}^{4}}{{z}^{4}}\] done
clear
B)
\[\frac{4}{9}{{x}^{4}}{{y}^{4}}{{z}^{4}}\] done
clear
C)
\[-\frac{4}{9}{{x}^{3}}{{y}^{3}}{{z}^{3}}\] done
clear
D)
\[\frac{4}{9}{{x}^{3}}{{y}^{3}}{{z}^{3}}\] done
clear
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question_answer2)
Addition of \[\frac{{{a}^{2}}}{2}+\frac{{{b}^{3}}}{3}-\frac{{{c}^{3}}}{4}\], \[\frac{2{{a}^{2}}}{3}+\frac{3{{b}^{3}}}{4}-\frac{4{{c}^{3}}}{4},\] and \[{{a}^{2}}+{{b}^{3}}+{{c}^{3}}\]is ____.
A)
\[\frac{13}{6}a+\frac{25}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] done
clear
B)
\[\frac{13}{6}{{a}^{2}}-\frac{1}{20}{{b}^{3}}+\frac{25}{12}{{c}^{3}}\] done
clear
C)
\[\frac{13}{6}{{a}^{2}}+\frac{25}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] done
clear
D)
\[\frac{13}{6}{{a}^{2}}-\frac{25}{12}{{b}^{3}}+\frac{1}{20}{{c}^{3}}\] done
clear
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question_answer3)
Simplify \[{{\left( 2x+\frac{1}{3y} \right)}^{2}}-{{\left( 2x-\frac{1}{3y} \right)}^{2}}\]
A)
\[\frac{4x}{3y}\] done
clear
B)
\[2\left( 4{{x}^{2}}+\frac{1}{9{{y}^{2}}} \right)\] done
clear
C)
\[\frac{8x}{3y}\] done
clear
D)
\[\frac{4y}{3x}\] done
clear
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question_answer4)
The product of \[\left( \frac{4p}{5}-3 \right)\] and \[\left( \frac{5p}{8}-6 \right)\] is_____.
A)
\[\frac{{{p}^{2}}}{2}+\frac{267}{40}p-18\] done
clear
B)
\[\frac{{{p}^{2}}}{2}-\frac{267}{40}p-18\] done
clear
C)
\[\frac{{{p}^{2}}}{2}+\frac{267}{40}p+18\] done
clear
D)
\[\frac{{{p}^{2}}}{2}-\frac{267}{40}p+18\] done
clear
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question_answer5)
The value of \[9{{x}^{2}}+49{{y}^{2}}-42xy\] when \[x=15\]and \[y=3\]is ____.
A)
636 done
clear
B)
576 done
clear
C)
456 done
clear
D)
386 done
clear
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question_answer6)
An expression is taken away from \[3{{x}^{2}}-4{{y}^{2}}+5xy+20\] to obtain \[-{{x}^{2}}-{{y}^{2}}+6xy+20,\]then the expression is ____.
A)
\[4{{x}^{2}}-3{{y}^{2}}-xy\] done
clear
B)
\[2{{x}^{2}}-5{{y}^{2}}+xy+40\] done
clear
C)
\[3{{y}^{2}}-xy-4{{x}^{2}}\] done
clear
D)
\[4{{x}^{2}}+3{{y}^{2}}+xy\] done
clear
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question_answer7)
The given algebraic expression of its exponent in ascending order is \[x-{{x}^{8}}+{{x}^{2}}-1.7{{x}^{10}}+1.4{{x}^{8}}-7.8{{x}^{2}}+4-9x\]
A)
\[4-8x-6.8{{x}^{2}}+0.4{{x}^{8}}-1.7{{x}^{10}}\] done
clear
B)
\[-1.7{{x}^{10}}+0.4{{x}^{8}}-6.8{{x}^{2}}-8x+4\] done
clear
C)
\[4-6.8x-8{{x}^{2}}+0.4{{x}^{8}}-1.7{{x}^{10}}\] done
clear
D)
\[-1.7{{x}^{10}}-0.4{{x}^{8}}-6.8{{x}^{2}}+8x+4\] done
clear
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question_answer8)
The number of diagonals drawn from one vertex of a polygon of n sides is ____.
A)
\[n-1\] done
clear
B)
\[n-2\] done
clear
C)
\[n-3\] done
clear
D)
n done
clear
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question_answer9)
Simplify: \[({{a}^{3}}-2{{a}^{2}}+4a-5)-(-{{a}^{3}}-8a+2{{a}^{2}}+5)\]
A)
\[2{{a}^{3}}+7{{a}^{2}}+6a-10\] done
clear
B)
\[2{{a}^{3}}+7{{a}^{2}}+12a-10\] done
clear
C)
\[2{{a}^{3}}-4{{a}^{2}}+12a-10\] done
clear
D)
\[2{{a}^{3}}-4{{a}^{2}}+6a-10\] done
clear
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question_answer10)
By how much is \[{{a}^{4}}+4{{a}^{2}}{{b}^{2}}+{{b}^{4}}\] more than \[{{a}^{4}}-8{{a}^{2}}{{b}^{2}}+{{b}^{4}}\]?
A)
\[12{{a}^{2}}{{b}^{2}}\] done
clear
B)
\[-12{{a}^{2}}{{b}^{2}}\] done
clear
C)
\[2{{a}^{4}}+2{{b}^{4}}\] done
clear
D)
\[10{{a}^{2}}{{b}^{2}}\] done
clear
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question_answer11)
If \[l=-1\] and \[m=2,\]then the value of \[4{{l}^{2}}+9{{m}^{2}}+2lm-9{{l}^{2}}m\] is ____.
A)
39 done
clear
B)
24 done
clear
C)
18 done
clear
D)
36 done
clear
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question_answer12)
Degree of zero is ____.
A)
0 done
clear
B)
1 done
clear
C)
2 done
clear
D)
Not defined done
clear
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question_answer13)
The degree of \[(6{{x}^{7}}-7{{x}^{3}}+3{{x}^{2}}+2x-1)\] is _____.
A)
7 done
clear
B)
6 done
clear
C)
3 done
clear
D)
5 done
clear
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question_answer14)
If \[\frac{x}{y}=\frac{3}{4},\]then the value of \[\left( \frac{6}{7}+\frac{y-x}{y+x} \right)\] equals ___.
A)
\[\frac{5}{7}\] done
clear
B)
\[1\frac{1}{7}\] done
clear
C)
1 done
clear
D)
2 done
clear
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question_answer15)
lf \[A=10{{w}^{3}}+20{{w}^{2}}-55w+60,\] \[B=-\text{ }25{{w}^{2}}+15w-10\]and \[C=5{{w}^{2}}-10w+20,\] then \[A+B-C\]is equal to _____.
A)
\[10{{w}^{3}}+10{{w}^{2}}+30w+30\] done
clear
B)
\[10{{w}^{3}}+10{{w}^{2}}-30w+30\] done
clear
C)
\[10{{w}^{3}}-10{{w}^{2}}-30w+30\] done
clear
D)
None of these done
clear
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question_answer16)
Which of the following expressions is CORRECT?
A)
\[\frac{pq+r}{q}=p+r\] done
clear
B)
\[\frac{p+r}{q+r}=\frac{q}{r}\] done
clear
C)
\[\frac{pq+pr}{ps}=\frac{q+r}{s}\] done
clear
D)
\[\frac{p(q+r)}{p+s}=\frac{q+r}{s}\] done
clear
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question_answer17)
Simplify: \[(3x+2y-9)\,(2x-6y+2)-[(4x-9y-1)\]\[+(-3x+8y+7)]\]
A)
\[6{{x}^{2}}-14xy-12{{y}^{2}}-13x+59y-24\] done
clear
B)
\[6{{x}^{2}}-12xy-18{{y}^{2}}-17x+61y-29\] done
clear
C)
\[8{{x}^{2}}-14xy-12{{y}^{2}}-13x+57y-24\] done
clear
D)
\[8{{x}^{2}}-14xy-12{{y}^{2}}-17x+61y-29\] done
clear
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question_answer18)
Subtract \[(2a-3b+4c)\] from the sum of \[(a+3b-4c),(4a-b+9c)\] and \[(-2b+3c-a)\].
A)
\[3a+2b+4c\] done
clear
B)
\[2a-2b+4c\] done
clear
C)
\[3a-4b-2c\] done
clear
D)
\[2a+3b+4c\] done
clear
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question_answer19)
If \[x=-2,\text{ }y=3\]and \[z=1,\]then the value of expression \[{{x}^{3}}+{{y}^{3}}+{{z}^{3}}-3xyz\]is ___.
A)
\[38\] done
clear
B)
\[37\] done
clear
C)
\[-37\] done
clear
D)
\[-38\] done
clear
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question_answer20)
How many trinomials are there?
(i) \[4y-7z\] |
(ii) \[x+y-xy\] |
(iii) \[7mn\] |
(iv) \[{{z}^{2}}-3z+8\] |
(v) \[1+x+{{x}^{2}}\] |
A)
2 done
clear
B)
3 done
clear
C)
4 done
clear
D)
5 done
clear
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question_answer21)
In a school, \[8{{a}^{2}}+4a+9\]students were enrolled. \[2{{a}^{2}}-9a+2\]students were boys. How many girls were enrolled?
A)
\[6{{a}^{2}}-13a+7\] done
clear
B)
\[4{{a}^{2}}+13a+7\] done
clear
C)
\[6{{a}^{2}}+13a+7\] done
clear
D)
\[4{{a}^{2}}-13a+7\] done
clear
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question_answer22)
Rohan spends Rs. x daily and saves Rs. y per week. What is his income in 3 weeks?
A)
\[Rs.\,(21x+3y)\] done
clear
B)
\[Rs.\,(3x+9y)\] done
clear
C)
\[Rs.\,(21x+9y)\] done
clear
D)
\[Rs.\,(7x+3y)\] done
clear
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question_answer23)
Mohit's monthly salary was\[Rs.\text{ }5445q\]. He saved 30% of it and gave \[\frac{1}{2}\] of the remainder to his parents. If Mohit used \[\frac{3}{4}\]of the amount of money, he had left to buy a guitar, then how much money would he have left, if \[q=8\]?
A)
\[Rs.\text{ }1100.50\] done
clear
B)
\[Rs.\,11434.50\] done
clear
C)
\[Rs.\text{ }11079.50\] done
clear
D)
\[Rs.\,3811.50\] done
clear
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question_answer24)
A vacuum cleaner set costs\[Rs.\text{ }154.25\text{ }k\]. Additional pipe costs\[Rs.15.2\text{ }k\]. What is the total cost of 3 vacuum cleaner sets and 5 additional pipes?
A)
\[Rs.\text{ }400\text{ }k\] done
clear
B)
\[Rs.\text{ }530.75\text{ }k\] done
clear
C)
\[Rs.~538.75\text{ }k\] done
clear
D)
\[Rs.\text{ }600\text{ }k\] done
clear
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question_answer25)
From 2012-2016, the amount (in crores) spent on natural gas N and electricity E by Indian residents can be described by the following expressions, where t is the number of years since 2012. Gas spending model, \[N=2.13{{t}^{2}}-4.21t+37.40\] Electricity spending model, \[E=-0.209{{t}^{2}}+5.393t+307.735\] What is the total amount A spent on natural gas and electricity by Indian residents from 2012 to 2016?
A)
\[1.467{{t}^{2}}+7.423+121.721\] done
clear
B)
\[1.339{{t}^{2}}-8.729t+76.245\] done
clear
C)
\[1.01{{t}^{2}}+7.083+97.83\] done
clear
D)
\[1.921{{t}^{2}}+1.183t+345.135\] done
clear
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question_answer26)
State T' for true and 'F' for false.
I. Expression with two unlike terms is called a monomial. |
II. The sum of two unlike terms is a like term with coefficient equal to the sum of coefficients of the two unlike terms. |
III. The value of \[3{{y}^{2}}-\text{ }5y+3,\]when\[y=1\]is 1. |
A)
B)
C)
D)
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question_answer27)
Match the following.
Column-l | Column-ll |
(P) \[({{x}^{2}}+5)\,({{x}^{3}}+3)+5\] | (1) \[-{{x}^{3}}-3{{x}^{2}}+3x+2\] |
(Q) \[\left( \frac{-10}{3}x{{y}^{3}} \right)\times \left( \frac{6}{5}{{x}^{3}}y \right)\] | (2) \[-{{x}^{2}}+{{x}^{2}}+3x-6\] |
(R) \[({{x}^{3}}-{{x}^{2}}-x-2)-\]\[(2{{x}^{3}}+2{{x}^{2}}-4x-4)\] | (3) \[{{x}^{5}}+5{{x}^{3}}+3{{x}^{2}}+20\] |
(S) \[({{x}^{3}}-{{x}^{2}}-x-2)+\]\[(2{{x}^{2}}-2{{x}^{3}}+4x-4)\] | (4) \[-4{{x}^{4}}{{y}^{4}}\] |
A)
(P)\[\to \](1), (Q)\[\to \](2), (R)\[\to \](3), (S)\[\to \](4) done
clear
B)
(P)\[\to \](3), (Q)\[\to \](4), (R)\[\to \](1), (S)\[\to \](2) done
clear
C)
(P)\[\to \](4), (Q)\[\to \](1), (R)\[\to \](3), (S)\[\to \](2) done
clear
D)
(P)\[\to \](3), (Q)\[\to \](4), (R)\[\to \](2), (S)\[\to \] (1) done
clear
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question_answer28)
The value of \[\frac{1}{4}\{x-5(q-x)\}\]\[-\frac{3}{2}\left\{ \frac{1}{3}\left( q-\frac{x}{3} \right)-\frac{2}{9}\left[ x-\frac{3}{4}\left( q-\frac{4x}{5} \right) \right] \right\}\]is
A)
\[\frac{9x}{5}+\frac{q}{2}\] done
clear
B)
\[\frac{9x}{4}-\frac{q}{2}\] done
clear
C)
\[\frac{9x}{5}-\frac{q}{2}\] done
clear
D)
\[\frac{11x}{5}-2q\] done
clear
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question_answer29)
Find the value of \[4xy(x-y)-6{{x}^{2}}(y-{{y}^{2}})-\]\[3{{y}^{2}}(2{{x}^{2}}-x)+2xy(x-y)\] for \[x=5\]and\[y=13\].
A)
\[-195\] done
clear
B)
2535 done
clear
C)
\[-2535\] done
clear
D)
7605 done
clear
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question_answer30)
Fill in the blanks.
(i) Any expression with one or more terms is called a P. |
(ii) Terms which have the same algebraic factors are Q terms. |
(iii) The R is the numerical factor in the term. |
(iv) Algebraic expressions are formed from S and T. |
A)
B)
C)
D)
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