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question_answer1)
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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question_answer2)
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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question_answer3)
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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question_answer4)
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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question_answer5)
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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question_answer6)
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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question_answer7)
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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question_answer8)
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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question_answer9)
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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question_answer10)
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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question_answer11)
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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question_answer12)
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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question_answer13)
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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question_answer14)
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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question_answer15)
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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question_answer16)
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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question_answer17)
Identify the correct statement for the following algebraic expression: |
\[6y{{x}^{2}}z+2xzy-3{{x}^{2}}yz,\,\,8y{{x}^{2}}z-5zxy+7y{{x}^{2}}z+\]\[2yx{{z}^{2}}+5{{x}^{2}}{{y}^{2}}z\] |
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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question_answer18)
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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question_answer19)
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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question_answer20)
Simplify: \[({{a}^{2}}b-2ab+3{{b}^{2}}a)\]- \[\left( -b{{a}^{2}}+3ab-2a{{b}^{2}} \right)\]
A)
\[2{{a}^{2}}b-3ab-a{{b}^{2}}\] done
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B)
\[2{{a}^{2}}b-5ab-5a{{b}^{2}}\] done
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C)
\[2{{a}^{2}}b-5ab+5a{{b}^{2}}\] done
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D)
\[2{{a}^{2}}b-5ab+a{{b}^{2}}\] done
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E)
None of these done
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question_answer21)
Add \[5{{x}^{2}}y+3x{{y}^{2}}-2{{y}^{2}}x\]to \[7xy+3x{{y}^{2}}-2{{y}^{2}}x\]
A)
\[7{{x}^{2}}y-5x{{y}^{2}}+10xy\] done
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B)
\[{{x}^{2}}y-x{{y}^{2}}+10xy\] done
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C)
\[7{{x}^{2}}y-3x{{y}^{2}}+10xy\] done
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D)
\[7{{x}^{2}}y-5x{{y}^{2}}+10xy\] done
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E)
None of these done
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question_answer22)
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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question_answer23)
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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question_answer24)
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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question_answer25)
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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question_answer26)
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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question_answer27)
Find the value of \[12{{x}^{2}}+6x{{y}^{3}}z-8x{{y}^{2}}z+l0xy{{z}^{2}}\]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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question_answer28)
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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question_answer29)
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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question_answer30)
If \[A\text{ }=\text{ }7{{m}^{2}}+3mn-8{{n}^{2}},\text{ }B\text{ }=-4{{m}^{2}}+mn\]\[+4{{n}^{2}}\]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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question_answer31)
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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question_answer32)
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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question_answer33)
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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question_answer34)
Subtract \[5{{x}^{2}}yz-2x{{y}^{2}}z+3xyz\]from\[xyz-2zx{{y}^{2}}+4zy{{x}^{2}}\].
A)
\[2xyz+4zy{{x}^{2}}\] done
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B)
\[-2xyz\text{ }+\text{ }4zy{{x}^{2}}\] done
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C)
\[-2xyz-zy{{x}^{2}}\] done
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D)
\[-xyz+zy{{x}^{2}}\] done
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E)
None of these done
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question_answer35)
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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question_answer36)
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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question_answer37)
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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question_answer38)
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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question_answer39)
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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question_answer40)
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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