question_answer 1)
If \[x+y=5,\,\,y+z=7\]and \[z+x=12,\] what is the value of \[x+y+z\]?
A)
12 done
clear
B)
2 done
clear
C)
5 done
clear
D)
24 done
clear
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question_answer 2)
How many auxiliary formulae can be formed from the expression in the box?
\[A=\frac{1}{2}h\,(a+b)\]
A)
2 done
clear
B)
3 done
clear
C)
4 done
clear
D)
1 done
clear
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question_answer 3)
What is the difference between \[3a+2b\]and\[-2a\,-5b\]?
A)
\[5a+7b\] done
clear
B)
\[-5a-7b\] done
clear
C)
\[5a-7b\] done
clear
D)
\[a-3b\] done
clear
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question_answer 4)
The length and breadth of a rectangular plot are I and b. Two rectangular paths each of width W 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)
\[(l+w)\,(b+w)-lb\] done
clear
B)
\[l\,b-(l-w)\,(b-w)\] done
clear
C)
\[(l+b-w)w\] done
clear
D)
\[l\,b-(l-2w)\,(b-2w)\] done
clear
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question_answer 5)
In a two digit number, the units digit is x and tens digit is \[(x+3)\]. What is the sum of the digits in the number?
A)
\[11x+3\] done
clear
B)
\[2x+3\] done
clear
C)
\[3+x\] done
clear
D)
\[11x+30\] done
clear
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question_answer 6)
A and B are polynomials and each is the additive inverse of the other. What does it mean?
A)
\[A=B\] done
clear
B)
\[A+B\] is a zero polynomial. done
clear
C)
\[A-B\] is a zero polynomial. done
clear
D)
\[A-B=B-A\] done
clear
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question_answer 7)
When a certain number, 'm' is divided by 5 and added to 8, the result is equal to thrice the number subtracted from 4. What is the value of 'm?
A)
2 done
clear
B)
\[\frac{4}{3}\] done
clear
C)
\[-1\] done
clear
D)
\[-5\] done
clear
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question_answer 8)
5 added to thrice a number is equal to 12 added to twice the number. What is the number?
A)
\[\sqrt{49}\times \frac{1}{7}\] done
clear
B)
\[\sqrt[3]{343}\times \frac{7}{7}\] done
clear
C)
7 done
clear
D)
Both [b] and [c] done
clear
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question_answer 9)
In the figure given what is the perimeter, in cm, of the triangle?
A)
\[(8y+4x-3)\,cm\] done
clear
B)
\[(8y-4x+3)\,cm\] done
clear
C)
\[(14x-2y-3)\,cm\] done
clear
D)
\[(12xy-3)\,cm\] done
clear
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question_answer 10)
If \[C=\frac{x-a}{a-b},\] find the value of x.
A)
\[\frac{bC-a}{C-1}\] done
clear
B)
\[\frac{C-a}{C-b}\] done
clear
C)
\[\frac{C+a}{C+b}\] done
clear
D)
\[\frac{1-C}{a-bC}\] done
clear
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question_answer 11)
Match the following.
Column-I Column-II (i) \[4{{m}^{2}}p,4m{{p}^{2}}\] (a) Binomial (ii) \[5-3t\] (b) Unlike terms (iii) \[-7x,\frac{5}{2}x\] (c) Trinomial (iv) \[1+x+{{x}^{2}}\] (d) Like terms
A)
\[\left( i \right)-\left( a \right),\left( ii \right)-\left( b \right),\left( iii \right)-\left( c \right),\left( iv \right)-\left( d \right)\] done
clear
B)
\[\left( i \right),\left( b \right),\left( ii \right)-\left( a \right),\left( iii \right)-\left( d \right),\left( iv \right)-\left( c \right)\] done
clear
C)
\[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( a \right)\] done
clear
D)
\[\left( i \right)-\left( b \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( a \right),\left( iv \right)-\left( d \right)\] done
clear
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question_answer 12)
Which of the following is true?
A)
The product of numbers p and q subtracted from 7 is \[7+pq\]. done
clear
B)
\[y-{{y}^{3}}\]is a monomial. done
clear
C)
The coefficient of \[{{y}^{2}}\] in \[2{{x}^{2}}y+7{{y}^{2}}\]is 7. done
clear
D)
\[100{{z}^{3}}\] is a binomial. done
clear
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question_answer 13)
If \[x=3,\,a=(-1)\] and \[b=(-2),\] what is the value of\[2-6x+4a-3b\]?
A)
\[-22\] done
clear
B)
\[-14\] done
clear
C)
\[12\] done
clear
D)
\[14\] done
clear
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question_answer 14)
For what value of 'm' is \[9-5m=(-1)\]?
A)
\[-1\] done
clear
B)
\[-2\] done
clear
C)
\[2\] done
clear
D)
\[1\] done
clear
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question_answer 15)
Simplify \[{{x}^{2}}{{y}^{3}}-1.5{{x}^{2}}{{y}^{3}}+1.4{{x}^{2}}{{y}^{3}}\].
A)
\[0.9\,{{x}^{2}}{{y}^{3}}\] done
clear
B)
\[-0.9\,{{x}^{2}}{{y}^{3}}\] done
clear
C)
\[0.9\] done
clear
D)
\[-0.9\] done
clear
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question_answer 16)
What is the value of\[({{a}^{3}}-2{{a}^{2}}+4a-5)-(-{{a}^{3}}-8a+2{{a}^{2}}+5)\]?
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_answer 17)
By how much is \[{{x}^{4}}-4{{x}^{2}}{{y}^{2}}+{{y}^{4}}\]less than \[{{x}^{4}}+8{{x}^{2}}{{y}^{2}}+{{y}^{4}}\]?
A)
\[-12{{x}^{2}}{{y}^{2}}\] done
clear
B)
\[12{{x}^{2}}{{y}^{2}}\] done
clear
C)
\[-12xy\] done
clear
D)
\[12xy\] done
clear
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question_answer 18)
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)
\[\frac{13}{6}a+\frac{25}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] 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)
\[\frac{13}{6}{{b}^{3}}+\frac{25}{12}{{a}^{3}}+\frac{1}{20}{{c}^{3}}\] done
clear
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question_answer 19)
Match the following.
Column - I Column - II (i) \[{{a}^{2}}-{{b}^{3}}\] when \[a=3\] and \[b=2\] (a) \[0\] (ii) \[{{z}^{3}}-3(z-10)\] when \[z=10\] (b) \[-12\] (iii) \[{{x}^{2}}+2x+1\] when \[x=-1\] (c) \[1000\] (iv) \[5p-2\] when \[p=-2\] (d) \[1\]
A)
\[\left( i \right)-\left( d \right),\left( ii \right)-\left( a \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( c \right)\] done
clear
B)
\[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( a \right)\] done
clear
C)
\[\left( i \right)-\left( a \right),\left( ii \right)-\left( b \right),\left( iii \right)-\left( c \right),\left( iv \right)-\left( d \right)\] done
clear
D)
\[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( a \right),\left( iv \right)-\left( b \right)\] done
clear
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question_answer 20)
Simplify the following expression.\[x(y-z)-y(z-x)-z(x-y)\]
A)
\[2x(y-z)\] done
clear
B)
\[2y(z-x)\] done
clear
C)
\[2x(z-y)\] done
clear
D)
\[2z(x-y)\] done
clear
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question_answer 21)
What is the 4th term of a pattern described by the expression \[{{n}^{2}}+1\]?
A)
\[18\] done
clear
B)
\[17\] done
clear
C)
\[24\] done
clear
D)
\[16\] done
clear
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question_answer 22)
The third term of the series \[7n+20\] is 41. What is the 10th term?
A)
\[90\] done
clear
B)
\[56\] done
clear
C)
\[63\] done
clear
D)
\[87\] done
clear
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question_answer 23)
What is the expression related to the pattern 5, 8,11,.......?
A)
\[2n-1\] done
clear
B)
\[3n+2\] done
clear
C)
\[4n+1\] done
clear
D)
\[{{n}^{2}}-1\] done
clear
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question_answer 24)
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
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question_answer 25)
If 'n? denotes a natural number, what does '2n' denote?
A)
A prime number done
clear
B)
An even number done
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C)
An odd number done
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D)
A composite number done
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question_answer 26)
For any natural number n, what does \[2n\text{+}1\]denote?
A)
An even number done
clear
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_answer 27)
Identify the like terms in \[21p-32-7p+20p\].
A)
\[21p,-32\] and \[20p\] done
clear
B)
\[-32,-7p\] and \[20p\] done
clear
C)
\[21p,-7p\] and \[20p\] done
clear
D)
\[-7p,21p,\]and \[32\] done
clear
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question_answer 28)
What is the symbolic form of "one-fourth of the product of m and n"?
A)
\[\frac{1}{4}mn\] done
clear
B)
\[\frac{1}{4}(m+n)\] done
clear
C)
\[\frac{1}{4}(m-n)\] done
clear
D)
\[\frac{1}{4}\,\frac{m}{n}\] done
clear
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question_answer 29)
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
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question_answer 30)
What is the coefficient of 'y' in the expression\[3xy-13\]?
A)
\[3x\] done
clear
B)
3 done
clear
C)
\[-13\] done
clear
D)
Either [a] or [b] done
clear
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question_answer 31)
Simplify \[\frac{3}{4}x-\frac{2}{5}ax-y+\frac{1}{3}ax-\frac{1}{8}x\] and find its value when \[a=3,\,x=(-2)\] and \[y=(-6)\].
A)
\[5\frac{3}{20}\] done
clear
B)
\[3\frac{3}{20}\] done
clear
C)
\[\frac{13}{20}\] done
clear
D)
\[5\frac{1}{20}\] done
clear
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question_answer 32)
A rectangle is 3p cm long and \[2p\text{ }cm\] wide. Find the perimeter of the rectangle when \[p=12\].
A)
\[102\,cm\] done
clear
B)
\[120\,cm\] done
clear
C)
\[210\,cm\] done
clear
D)
\[10p\,cm\] done
clear
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question_answer 33)
From the sum of \[7x-2y-3z\] and \[3x+5y-8z,\]take away \[x-3z\].
A)
\[9x-3y+8z\] done
clear
B)
\[9x+3y-8z\] done
clear
C)
\[9x+3y+8z\] done
clear
D)
\[9x-3y-8z\] done
clear
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question_answer 34)
The angles of a quadrilateral are \[{{(p+25)}^{o}},\] \[2{{p}^{o}},\] \[{{(2p-15)}^{o}}\] and \[{{(p+20)}^{o}}\] What is the value of the smallest angle?
A)
\[{{105}^{o}}\] done
clear
B)
\[{{65}^{o}}\] done
clear
C)
\[{{115}^{o}}\] done
clear
D)
\[{{65}^{o}}\] done
clear
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question_answer 35)
The sides of a right angled triangle are\[2a\,\,cm,\,(2a+2)\,cm\] and \[(4a-2)\,cm\] long. What is the length of the shortest side of the triangle if its perimeter is\[24\text{ }cm\]?
A)
\[\text{8 }cm\] done
clear
B)
\[\text{6 }cm\] done
clear
C)
\[\text{10 }cm\] done
clear
D)
\[\text{3 }cm\] done
clear
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question_answer 36)
What is the sum of \[3{{y}^{2}}+5yz,\]\[-2{{y}^{2}}-2yz-{{z}^{2}}\] and \[-yz+2{{z}^{2}}\]?
A)
\[{{y}^{2}}-2yz+{{z}^{2}}\] done
clear
B)
\[{{y}^{2}}+2yz+{{z}^{2}}\] done
clear
C)
\[{{y}^{2}}-2yz-{{z}^{2}}\] done
clear
D)
\[-{{y}^{2}}+2yz-{{z}^{2}}\] done
clear
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question_answer 37)
Evaluate the expression. \[p-(p-q)-q(q-p)\]
A)
\[p-q\] done
clear
B)
\[-p+q\] done
clear
C)
\[p+q\] done
clear
D)
\[-(p+q)\] done
clear
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question_answer 38)
What is the value of the expression\[2{{x}^{2}}y+x{{y}^{2}}+xy\] for \[x=1\] and \[y=2\]?
A)
\[-2\] done
clear
B)
\[-3\] done
clear
C)
\[-4\] done
clear
D)
\[-5\] done
clear
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question_answer 39)
Lf \[P+\frac{5}{4}(4-2P)=-4,\]find P.
A)
\[-6\] done
clear
B)
\[6\] done
clear
C)
\[18\] done
clear
D)
\[-18\] done
clear
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question_answer 40)
How is "4 is less than half of x" written in symbolic form?
A)
\[4>\frac{x}{2}\] done
clear
B)
\[\frac{x-4}{2}\] done
clear
C)
\[\frac{x}{2}+4\] done
clear
D)
\[4<\frac{x}{2}\] done
clear
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question_answer 41)
A basket has 23 oranges and bananas. How many bananas are there in the basket if there are 'p' oranges in it?
A)
\[23\,p\] done
clear
B)
\[23-\,p\] done
clear
C)
\[23+\,p\] done
clear
D)
\[p-23\] done
clear
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question_answer 42)
?x' packets of 6 sweets each are divided equally among 10 children. How many sweets does each child get?
A)
\[6x\] done
clear
B)
\[6x-10\] done
clear
C)
\[\frac{3x}{5}\] done
clear
D)
\[3x-5\] done
clear
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question_answer 43)
The length of a rectangle is \[2(x+6)\,cm,\]and its width is half its length. What is its perimeter?
A)
\[6(x-3)\,cm\] done
clear
B)
\[6(x-6)\,cm\] done
clear
C)
\[3(x+6)\,cm\] done
clear
D)
\[(6x+36)\,cm\] done
clear
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question_answer 44)
Simplify \[\frac{4}{11}\,(66x+44)+\frac{3}{11}(33x-33)\].
A)
\[33x+7\] done
clear
B)
\[33x-7\] done
clear
C)
\[33x-7x\] done
clear
D)
\[33+7x\] done
clear
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question_answer 45)
Express in the simplest form.
\[\frac{9}{10}(30+5t)+\frac{5}{6}(18t-12)\]
A)
\[-17+\frac{39}{2}t\] done
clear
B)
\[17t-\frac{39}{2}\] done
clear
C)
\[\left( 17+\frac{39}{2}t \right)\] done
clear
D)
\[17t+\frac{39}{2}\] done
clear
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