
Which one among the following statements is correct?
A)
The word variable means something that is fixed. done
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B)
The value of the constant which satisfies the equation is called a solution of the equation. done
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C)
An expression with a variable, constants and the sign of equality is called an algebraic expression. done
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D)
The definite value of the variable which satisfies the equation is called the solution of the equation. done
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E)
None of these done
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If the perimeter of a regular octagon is 2x metres, then the length of each of its sides is ________
A)
x  8 done
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B)
2x+8 done
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C)
x  4 done
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D)
16x done
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E)
None of these done
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In algebra, letter may stand for____
A)
unknown quantities done
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B)
known quantities done
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C)
fixed numbers done
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D)
all the above done
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E)
None of these done
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Choose the correct algebraic expression for the condition given below, "Multiply a number (say k) by 7 and the result is subtracted from 5?.
A)
7k  5 done
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B)
5  7k done
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C)
5k  7 done
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D)
7  5k done
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E)
None of these done
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Direction: Choose the correct expressions for each of the cases given below: 
15 is added to the predecessor of an integer. 
A)
14 + n, where n is the integer done
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B)
15  n, where n is the integer done
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C)
16 + n, where n is the integer done
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D)
14  n, where n is the integer done
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E)
None of these done
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Direction: Choose the correct expressions for each of the cases given below: 
One more than twice the number is added to 5 more than the same number 
A)
3k + 6 done
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B)
2k + 5 done
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C)
3k + 7 done
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D)
2k + 6 done
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E)
None of these done
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Direction: Choose the correct expressions for each of the cases given below: 
11 more than y times of 7 is subtracted from the largest two digit numbers. 
A)
99  7y done
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B)
88 + 7y done
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C)
88  7y done
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D)
110  7y done
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E)
None of these done
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Direction: Choose the correct expressions for each of the cases given below: 
Perimeter of the rectangle whose length I is 7 times of its breadth (b) 
A)
16 b done
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B)
14 b done
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C)
181 done
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D)
141 done
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E)
None of these done
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Direction: Choose the correct expressions for each of the cases given below: 
Her father's age exceeds her age by 24 years. 
A)
a + 24 done
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B)
a  24 done
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C)
24a done
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D)
24  a done
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E)
None of these done
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Direction: Choose the correct expressions for each of the cases given below: 
If a note book costs Rs m and a pen costs Rs 15, then the total cost (in Rs) of 5 notebooks and 17 pens. 
A)
5m+85 done
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B)
m + 260 done
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C)
m + 235 done
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D)
5m + 255 done
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E)
None of these done
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Direction: Choose the correct expressions for each of the cases given below: 
The sum of two odd consecutive integers is divided by 2. 
A)
n+1 done
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B)
n+2 done
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C)
2n + 2 done
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D)
n+2 done
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E)
none of these done
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Direction: Choose the correct expressions for each of the cases given below: 
p is multiplied by  21 and the result is subtracted from the least prime number. 
A)
2  21 p done
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B)
1  21p done
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C)
2 + 21p done
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D)
1 + 21p done
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E)
None of these done
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One eighth of a number is 84 less than the number. Find the number.
A)
92 done
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B)
96 done
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C)
104 done
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D)
64 done
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E)
None of these done
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Which one among the following statements is incorrect?
A)
0 is a solution of the equation 2x  3 =  3 done
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B)
If y is a negative integer then  y is a positive integer. done
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C)
3x  6 < 9 is an equation, done
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D)
The number of lines that can be drawn through a point is a done
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E)
None of these done
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The verbal expression for the algebraic expression 3y  17 is _____
A)
17 more than three times a number y. done
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B)
3 more than 17 times a number y. done
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C)
17 is subtracted from a number y. done
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D)
17 is subtracted from three times a number y. done
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E)
None of these done
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Which among the following is an example of trinomial?
A)
 2xyz done
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B)
\[{{a}^{2}}x\text{ }+\text{ }{{b}^{2}}{{y}^{3}}\] done
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C)
2 + a  b done
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D)
2 + 3ax + ax done
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E)
None of these done
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Identify the correct statement for the following algebraic expression: 
\[6y{{x}^{2}}z+2xzy3{{x}^{2}}yz,\,\,8y{{x}^{2}}z5zxy+7y{{x}^{2}}z+\]\[2yx{{z}^{2}}+5{{x}^{2}}{{y}^{2}}z\] 
A)
2xzy and \[5{{x}^{2}}{{y}^{2}}z\]are like terms. done
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B)
\[7y{{x}^{2}}z\] and \[~3{{x}^{2}}yz\] are unlike terms. done
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C)
2xzy,  5zxy and \[3{{x}^{2}}yz,\,\,7y{{x}^{2}}z\] and \[8x{{z}^{2}}\text{y, }2yx{{z}^{2}}\] are like terms. done
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D)
2xzy,  5zxy and \[3{{x}^{2}}yz,\,\,7y{{x}^{2}}z\] and \[8x{{z}^{2}}\text{y, }2yx{{z}^{2}}\]are unlike terms, done
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E)
None of these done
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If x=  1, y= 2 and z =  3, then the value of the algebraic expression \[x{{y}^{3}}+y{{x}^{2}}5xy{{z}^{3}}\]is _____
A)
264 done
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B)
276 done
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C)
260 done
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D)
276 done
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E)
None of these done
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Which one among the following statements is incorrect?
A)
An expression having only two terms is called a binomial. done
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B)
A symbol having a fixed numerical value is called a constant. done
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C)
Terms in an algebraic expression are connected by operator ?+? or ?? done
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D)
x + 3 is an example of a monomial. done
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E)
None of these done
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Simplify: \[({{a}^{2}}b2ab+3{{b}^{2}}a)\] \[\left( b{{a}^{2}}+3ab2a{{b}^{2}} \right)\]
A)
\[2{{a}^{2}}b3aba{{b}^{2}}\] done
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B)
\[2{{a}^{2}}b5ab5a{{b}^{2}}\] done
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C)
\[2{{a}^{2}}b5ab+5a{{b}^{2}}\] done
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D)
\[2{{a}^{2}}b5ab+a{{b}^{2}}\] done
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E)
None of these done
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Add \[5{{x}^{2}}y+3x{{y}^{2}}2{{y}^{2}}x\]to \[7xy+3x{{y}^{2}}2{{y}^{2}}x\]
A)
\[7{{x}^{2}}y5x{{y}^{2}}+10xy\] done
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B)
\[{{x}^{2}}yx{{y}^{2}}+10xy\] done
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C)
\[7{{x}^{2}}y3x{{y}^{2}}+10xy\] done
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D)
\[7{{x}^{2}}y5x{{y}^{2}}+10xy\] done
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E)
None of these done
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Find the value of x if\[\frac{x}{5}+2x=2\left[ \left( \frac{x}{3}+12 \right)1 \right]\]
A)
\[14\frac{8}{5}\] done
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B)
\[14\frac{8}{9}\] done
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C)
\[14\frac{8}{23}\] done
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D)
\[13\frac{8}{5}\] done
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E)
None of these done
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Solve: \[\frac{3p}{4}+\frac{1}{5}=\frac{2p}{3}+\frac{3}{5}\]
A)
\[18\frac{8}{5}\] done
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B)
\[16\frac{7}{5}\] done
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C)
\[15\frac{3}{5}\] done
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D)
\[18\frac{8}{9}\] done
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E)
None of these done
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If 17 is subtracted from 5 times a number, the result is 78. Find the number.
A)
13 done
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B)
19 done
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C)
18 done
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D)
17 done
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E)
None of these done
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The perimeter of a rectangular field is 456 metres. If the length of the field is four times its breadth, then find its breadth.
A)
48.9 m done
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B)
46.7 m done
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C)
42.8 m done
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D)
45.6 m done
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E)
None of these done
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Radhika's father is thrice as old as Radhika. After 18 years, his age will be twice that of his daughter. Find the present age of her father.
A)
54 years done
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B)
57 years done
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C)
60 years done
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D)
63 years done
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E)
None of these done
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Find the value of \[12{{x}^{2}}+6x{{y}^{3}}z8x{{y}^{2}}z+l0xy{{z}^{2}}\]where x = I, y = 1 and z = 1.
A)
4 done
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B)
4 done
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C)
24 done
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D)
24 done
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E)
None of these done
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Simplify: 2x  [5y  {3x  (3y  5x)}]
A)
12x  10y done
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B)
10x  8y done
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C)
6x  8y done
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D)
8x  10y done
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E)
None of these done
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Solve: 2m  [3n  {m  (2r  3n) + 4r  3(m  n  2r)}]
A)
3n + 8r done
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B)
3m  6n + 6r done
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C)
8m  3n + 6r done
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D)
6m + 3n  8r done
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E)
None of these done
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If \[A\text{ }=\text{ }7{{m}^{2}}+3mn8{{n}^{2}},\text{ }B\text{ }=4{{m}^{2}}+mn\]\[+4{{n}^{2}}\]and C = 3n2  4m2  4mn. Then find the value of A + B + C.
A)
\[{{m}^{2}}+mn{{n}^{2}}\] done
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B)
\[{{m}^{2}}mn{{n}^{2}}\] done
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C)
\[{{m}^{2}}+{{n}^{2}}\] done
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D)
\[\left( {{m}^{2}}+{{n}^{2}} \right)\] done
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E)
None of these done
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By how much does 1 exceed 3m  4n + 5?
A)
3n  4m  4 done
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B)
3m  4m + 4 done
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C)
3n  4m  3 done
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D)
3n  5m  5 done
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E)
None of these done
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If x = 2, y = 5 and z =  7, then the value of \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}2xyz\]is ____.
A)
62 done
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B)
218 done
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C)
63 done
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D)
212 done
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E)
None of these done
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Solve \[4{{x}^{2}}\text{ }+\text{ }9{{y}^{2}}\text{ }\text{ }6xy\] for x =  2 and y = 3.
A)
133 done
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B)
61 done
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C)
81 done
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D)
123 done
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E)
None of these done
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Subtract \[5{{x}^{2}}yz2x{{y}^{2}}z+3xyz\]from\[xyz2zx{{y}^{2}}+4zy{{x}^{2}}\].
A)
\[2xyz+4zy{{x}^{2}}\] done
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B)
\[2xyz\text{ }+\text{ }4zy{{x}^{2}}\] done
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C)
\[2xyzzy{{x}^{2}}\] done
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D)
\[xyz+zy{{x}^{2}}\] done
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E)
None of these done
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How much is 3x  2y + 5z greater than 2x "3y " 5z?
A)
x  y + 10z done
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B)
x + 2y + 8Z done
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C)
x + 3y  10z done
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D)
x + y + 10z done
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E)
None of these done
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Which expression represents 5 less than thrice the square of a number?
A)
\[3{{n}^{2}}5\] done
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B)
\[3{{n}^{2}}+5\] done
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C)
\[3{{n}^{2}}5\] done
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D)
\[3{{n}^{2}}+5\] done
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E)
None of these done
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Solve: 3x + 2  5 (x  1) = 3(x  1)
A)
x = 2 done
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B)
x = l done
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C)
x  1 done
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D)
x  2 done
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E)
None of these done
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The statement for the expression "12x  9" is:
A)
9 is added to 12x done
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B)
12x is subtracted from 9 done
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C)
9 is subtracted from 12x done
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D)
9 is subtracted from  12x done
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E)
None of these done
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Which of the following is an equation?
A)
3x  12y > 10 done
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B)
5y 3 (3x  5) < 0 done
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C)
z  k + l + 1 = 1 done
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D)
x  2y + 3z done
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E)
None of these done
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A bird flies 6 km in 2 minutes. The expression which represents the distance covered by the bird in its flying time is ____ (Use 't' for flying time in minutes).
A)
6t done
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B)
3t done
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C)
4t done
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D)
6t+2 done
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E)
None of these done
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