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

(i) - (d), (ii) - (a), (iii) - (b), (iv) - (c)

(i) - (d), (ii) - (c), (iii) - (b), (iv) - (a)

(i) - (a), (ii) - (b), (iii) - (c), (iv) - (d)

(i) - (d), (ii) - (c), (iii) - (a), (iv) - (b)

The product of \[(3{{x}^{2}}+{{\mathbf{y}}^{\mathbf{2}}})\]and \[\left( 2{{x}^{2}}+3{{y}^{2}} \right)\] is

\[{{x}^{3}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]

\[3{{x}^{2}}+5{{x}^{5}}{{y}^{2}}+3{{y}^{4}}\]

\[6{{x}^{2}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]

\[6{{x}^{4}}+11{{x}^{2}}{{y}^{2}}+3{{y}^{4}}\]

Multiply \[\left( 3x+2y \right)\left( 3x+2y \right)\]

\[18{{x}^{2}}+2{{y}^{2}}+10xy\]

Which among the following statements is not true?

The value of a variable is not fixed.

The terms with different algebraic factors are called unlike terms.

Numerical Coefficient in any term of a polynomial is called numerical coefficient or coefficient of the term.

Every polynomial is a binomial.

The value of a variable is not fixed.

How much is \[\mathbf{5}{{\mathbf{x}}^{\mathbf{5}}}{{\mathbf{y}}^{\mathbf{4}}}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{- 3}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{4}}}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{+ 2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{y}{{\mathbf{z}}^{\mathbf{3}}}\] less than \[\mathbf{8}{{\mathbf{z}}^{\mathbf{3}}}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{4}}}\mathbf{-12y}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{-3}{{\mathbf{z}}^{\mathbf{3}}}{{\mathbf{y}}^{\mathbf{4}}}{{\mathbf{x}}^{\mathbf{5}}}\]

\[4{{x}^{2}}{{z}^{3}}{{y}^{4}}-14{{x}^{2}}{{z}^{3}}y+8{{z}^{3}}{{x}^{5}}{{y}^{4}}\]

\[5{{x}^{2}}{{y}^{4}}{{z}^{3}}-\text{ }10y{{x}^{2}}{{z}^{3}}-2{{x}^{5}}{{y}^{4}}{{z}^{3}}\]

\[5{{x}^{2}}{{y}^{4}}{{z}^{3}}-\text{ }14y{{x}^{2}}{{z}^{3}}-8{{x}^{3}}{{y}^{5}}{{z}^{4}}\]

\[11{{x}^{2}}{{y}^{4}}{{z}^{3}}-14y{{x}^{2}}{{z}^{3}}-8{{z}^{3}}{{x}^{5}}{{y}^{4}}\]

What should be subtracted from \[\mathbf{3}{{\mathbf{m}}^{\mathbf{2}}}-\text{ }\mathbf{4}{{\mathbf{m}}^{\mathbf{3}}}+\text{ }\mathbf{m}\text{ }-\text{ }\mathbf{9}\] to obtain\[\mathbf{4}{{\mathbf{m}}^{\mathbf{2}}}-\text{ }\mathbf{2m}\text{ }+\mathbf{3}{{\mathbf{m}}^{\mathbf{3}}}-\text{ }\mathbf{12}\]?

\[-7{{m}^{2}}+\text{ }7{{m}^{3}}-3m+3\]

\[-7{{m}^{2}}+7{{m}^{3}}+3m-3\]

\[-7{{m}^{2}}+\text{ }7{{m}^{3}}-3m+3\]

The product of \[({{x}^{2}}+3x+5)\] and \[({{X}^{2}}-1)\] is______.

\[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\]

\[{{x}^{4}}+3{{x}^{3}}-4{{x}^{2}}-3x-5\]

\[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}-3x-5\]

\[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\]

What must be subtracted from \[{{x}^{4}}+2{{x}^{2}}-3x+7\] to get \[{{x}^{3}}+{{x}^{2}}+x-1?\]

\[a{{\alpha }^{2}}+b\alpha +c=0\]

The Polynomial, \[{{p}^{2}}+\text{ }2q\text{ }-\text{ }{{q}^{2}}+\text{ }{{r}^{2}}-\text{ }1\text{ }-\text{ }2\]pr on factorization gives _____

\[\left( p\text{ }+\text{ }q\text{ }+\text{ }r\text{ }-1 \right)\text{ }\left( p\text{ }+\text{ }1\text{ }\text{ }q\text{ }+\text{ }r \right)\]

\[\left( p\text{ }+\text{ }1\text{ }+\text{ }q \right)\text{ }\left( p\text{ }+\text{ }q\text{ }\text{ }r\text{ }-\text{ }1 \right)\]

\[\left( p\text{ }\text{ }1\text{ }+\text{ }q\text{ }-\text{ }r \right)\text{ }\left( p\text{ }+\text{ }1\text{ }\text{ }q\text{ }-\text{ }r \right)\]

\[\left( p\text{ }+\text{ }q\text{ }+\text{ }r\text{ }-1 \right)\text{ }\left( p\text{ }+\text{ }1\text{ }\text{ }q\text{ }+\text{ }r \right)\]

\[\left( p\text{ }\text{ }1\text{ }+\text{ }r\text{ }\text{ }q \right)\text{ }\left( q\text{ }+\text{ }p\text{ }\text{ }1\text{ }-r \right)\]

94 + Mcqs in Algebraic Expressions - 854 in Mathematics Page 2 McqOptions

51.	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
B.	4
C.	-24
D.	24
E.	None of these
Answer» D. 24

Discussion

52.	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
B.	57 years
C.	60 years
D.	63 years
E.	None of these
Answer» B. 57 years

Discussion

53.	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
B.	46.7 m
C.	42.8 m
D.	45.6 m
E.	None of these
Answer» E. None of these

Discussion

54.	If 17 is subtracted from 5 times a number, the result is 78. Find the number.
A.	13
B.	19
C.	18
D.	17
E.	None of these
Answer» C. 18

Discussion

55.	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.	\[6{{a}^{2}}-13a+7\]
B.	\[4{{a}^{2}}+13a+7\]
C.	\[6{{a}^{2}}+13a+7\]
D.	\[4{{a}^{2}}-13a+7\]
Answer» D. \[4{{a}^{2}}-13a+7\]

Discussion

56.	What is the 4th term of a pattern described by the expression \[{{n}^{2}}+1\]?
A.	\[18\]
B.	\[17\]
C.	\[24\]
D.	\[16\]
Answer» C. \[24\]

Discussion

57.	By how much is \[{{({{x}^{2}}-{{y}^{2}})}^{2}}\] less than \[{{x}^{4}}+8{{x}^{2}}{{y}^{2}}+{{y}^{4}}?\]
A.	\[-12{{x}^{2}}{{y}^{2}}\]
B.	\[10{{x}^{2}}{{y}^{2}}\]
C.	\[-12xy\]
D.	\[10xy\]
Answer» C. \[-12xy\]

Discussion

58.	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)
B.	(i) - (d), (ii) - (c), (iii) - (b), (iv) - (a)
C.	(i) - (a), (ii) - (b), (iii) - (c), (iv) - (d)
D.	(i) - (d), (ii) - (c), (iii) - (a), (iv) - (b)
Answer» E.

Discussion

59.	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
B.	Row B
C.	Row C
D.	Row D
Answer» E.

Discussion

60.	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
B.	Row B
C.	Row C
D.	Row D
Answer» E.

Discussion

61.	If \[x+y=7:y+=8;+x=9,\]what is the value of \[x+y+z?\]
A.	12
B.	9
C.	7
D.	16
Answer» B. 9

Discussion

62.	In the figure given, what is the perimeter, in cm, of the triangle?
A.	\[\left( 8y+4x-3 \right)cm\]
B.	\[\left( 8y-4x+3 \right)cm\]c
C.	\[\left( 14y-2x-3 \right)cm~\]
D.	\[\left( 12xy-3 \right)cm~\]c
Answer» B. \[\left( 8y-4x+3 \right)cm\]c

Discussion

63.	For any natural number n, what does \[2n+1\]denote?
A.	An even number
B.	An odd number
C.	A composite number
D.	A prime number
Answer» C. A composite number

Discussion

64.	Which expression gives the predecessor of a natural number 'n'?
A.	\[2n-1\]
B.	\[n+1\]
C.	\[n-1\]
D.	\[2n+1\]
Answer» D. \[2n+1\]

Discussion

65.	What is the expression related to the pattern 7, 11, 15,......?
A.	\[2n-1\]
B.	\[4n+3\]
C.	\[4n+1\]
D.	\[{{n}^{2}}-1\]
Answer» C. \[4n+1\]

Discussion

66.	The degree of \[(6{{x}^{7}}-7{{x}^{3}}+3{{x}^{2}}+2x-1)\] is _____.
A.	7
B.	6
C.	3
D.	5
Answer» B. 6

Discussion

67.	If \[\left( \mathbf{a}+\mathbf{b} \right)=\mathbf{5},\] then find \[{{\mathbf{a}}^{\mathbf{2}}}-\mathbf{ab}+{{\mathbf{b}}^{\mathbf{2}}}\] (given \[{{\mathbf{a}}^{\mathbf{3}}}+{{\mathbf{b}}^{\mathbf{3}}}=\mathbf{8}\])
A.	1.6
B.	2
C.	3
D.	0
Answer» B. 2

Discussion

68.	If \[({{a}^{2}}+{{b}^{2}}+{{c}^{2}})=125\] and \[\left( \mathbf{ab}+\mathbf{b}c+\mathbf{ca} \right)=\mathbf{50}\] find the value of \[\left( \mathbf{a}+\mathbf{b}+\mathbf{c} \right)\]
A.	10
B.	15
C.	\[\sqrt{15}\]
D.	12
Answer» C. \[\sqrt{15}\]

Discussion

69.	The product of \[(3{{x}^{2}}+{{\mathbf{y}}^{\mathbf{2}}})\]and \[\left( 2{{x}^{2}}+3{{y}^{2}} \right)\] is
A.	\[{{x}^{3}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]
B.	\[3{{x}^{2}}+5{{x}^{5}}{{y}^{2}}+3{{y}^{4}}\]
C.	\[6{{x}^{2}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]
D.	\[6{{x}^{4}}+11{{x}^{2}}{{y}^{2}}+3{{y}^{4}}\]
Answer» E.

Discussion

70.	Multiply \[\left( 3x+2y \right)\left( 3x+2y \right)\]
A.	\[9{{x}^{2}}+4{{y}^{2}}+12xy\]
B.	\[18{{x}^{2}}+2{{y}^{2}}+10xy\]
C.	\[9{{x}^{2}}+4{{y}^{2}}+8xy\]
D.	\[9{{x}^{2}}+6{{y}^{3}}+12xy\]
Answer» B. \[18{{x}^{2}}+2{{y}^{2}}+10xy\]

Discussion

71.	Solve \[(4{{x}^{2}}+5)(4{{x}^{2}}+5)\]
A.	\[16{{x}^{4}}+25+40{{x}^{2}}\]
B.	\[16{{x}^{4}}+28+30{{x}^{2}}\]
C.	\[16{{x}^{4}}+30+20{{x}^{2}}\]
D.	\[16{{x}^{4}}+8+25{{x}^{2}}\]
Answer» B. \[16{{x}^{4}}+28+30{{x}^{2}}\]

Discussion

72.	If \[\mathbf{a}+\mathbf{b}=\mathbf{7}\]and \[\mathbf{ab}=\mathbf{12}\] then what is the value of \[{{\mathbf{a}}^{\mathbf{2}}}-\mathbf{ab}-{{\mathbf{b}}^{\mathbf{2}}}\]
A.	12
B.	13
C.	14
D.	\[-\]5
Answer» E.

Discussion

73.	The speed of a car is 48 km/hr. The distance (in km) covered by the car in 'm' hours is ___________.
A.	\[\frac{48}{m}\]
B.	48 + m
C.	48m
D.	(48 - m)
E.	None of these
Answer» D. (48 - m)

Discussion

74.	The difference of the digits of two digit number is 6. The sum of the digit cannot be _________.
A.	12
B.	8
C.	6
D.	9
E.	None of these
Answer» E. None of these

Discussion

75.	Which among the following statements is not true?
A.	The terms with different algebraic factors are called unlike terms.
B.	Numerical Coefficient in any term of a polynomial is called numerical coefficient or coefficient of the term.
C.	Every polynomial is a binomial.
D.	The value of a variable is not fixed.
E.	None of these
Answer» D. The value of a variable is not fixed.

Discussion

76.	19 added to thrice a number is same as 8 more than 4 times the number. What is the number?
A.	17
B.	28
C.	11
D.	19
E.	None of these
Answer» D. 19

Discussion

77.	How much is \[\mathbf{5}{{\mathbf{x}}^{\mathbf{5}}}{{\mathbf{y}}^{\mathbf{4}}}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{- 3}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{4}}}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{+ 2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{y}{{\mathbf{z}}^{\mathbf{3}}}\] less than \[\mathbf{8}{{\mathbf{z}}^{\mathbf{3}}}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{4}}}\mathbf{-12y}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{-3}{{\mathbf{z}}^{\mathbf{3}}}{{\mathbf{y}}^{\mathbf{4}}}{{\mathbf{x}}^{\mathbf{5}}}\]
A.	\[4{{x}^{2}}{{z}^{3}}{{y}^{4}}-14{{x}^{2}}{{z}^{3}}y+8{{z}^{3}}{{x}^{5}}{{y}^{4}}\]
B.	\[5{{x}^{2}}{{y}^{4}}{{z}^{3}}-\text{ }10y{{x}^{2}}{{z}^{3}}-2{{x}^{5}}{{y}^{4}}{{z}^{3}}\]
C.	\[5{{x}^{2}}{{y}^{4}}{{z}^{3}}-\text{ }14y{{x}^{2}}{{z}^{3}}-8{{x}^{3}}{{y}^{5}}{{z}^{4}}\]
D.	\[11{{x}^{2}}{{y}^{4}}{{z}^{3}}-14y{{x}^{2}}{{z}^{3}}-8{{z}^{3}}{{x}^{5}}{{y}^{4}}\]
E.	None of these
Answer» E. None of these

Discussion

78.	What should be subtracted from \[\mathbf{3}{{\mathbf{m}}^{\mathbf{2}}}-\text{ }\mathbf{4}{{\mathbf{m}}^{\mathbf{3}}}+\text{ }\mathbf{m}\text{ }-\text{ }\mathbf{9}\] to obtain\[\mathbf{4}{{\mathbf{m}}^{\mathbf{2}}}-\text{ }\mathbf{2m}\text{ }+\mathbf{3}{{\mathbf{m}}^{\mathbf{3}}}-\text{ }\mathbf{12}\]?
A.	\[-7{{m}^{2}}+7{{m}^{3}}+3m-3\]
B.	\[-{{m}^{2}}-7{{m}^{3}}-3m+3\]
C.	\[-{{m}^{2}}-7{{m}^{3}}+3m-3\]
D.	\[-7{{m}^{2}}+\text{ }7{{m}^{3}}-3m+3\]
E.	None of these
Answer» D. \[-7{{m}^{2}}+\text{ }7{{m}^{3}}-3m+3\]

Discussion

79.	The sum of two expressions is \[{{x}^{3}}-{{x}^{2}}+3x-2\]If one of them is \[{{x}^{2}}+5x-6.\]what is the other?
A.	\[{{x}^{3}}-2{{x}^{2}}-2x-4\]
B.	\[{{x}^{3}}+3{{x}^{2}}-2x+4\]
C.	\[{{x}^{3}}-2{{x}^{2}}-2x+4\]
D.	\[-{{x}^{3}}-2{{x}^{2}}+2x-4\]
Answer» D. \[-{{x}^{3}}-2{{x}^{2}}+2x-4\]

Discussion

80.	The product of \[({{x}^{2}}+3x+5)\] and \[({{X}^{2}}-1)\] is______.
A.	\[{{x}^{4}}+3{{x}^{3}}-4{{x}^{2}}-3x-5\]
B.	\[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}-3x-5\]
C.	\[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\]
D.	\[{{x}^{4}}+{{x}^{3}}+x+5\]
Answer» C. \[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\]

Discussion

81.	Mother bought some vegetables for Rs. x and some fruits for Rs.3. If she gave Rs.10, to the shopkeeper, how much change did she receive?
A.	\[Rs.\,(13-x)\]
B.	\[Rs.\,(7+x)\]
C.	\[Rs.\,(13+x)\]
D.	\[Rs.\,(7-x)\]
Answer» E.

Discussion

82.	Using the identity \[{{a}^{2}}-{{b}^{2}}=(a+b)\,(a-b),\]valuate\[24.7\times 25.3\].
A.	\[624.91\]
B.	\[642.91\]
C.	\[624.19\]
D.	\[642.19\]
Answer» B. \[642.91\]

Discussion

83.	The solution of \[a+b+5,2a+2b-1\] is
A.	\[a+b-5,2a+ab+1\]
B.	\[a-b+5,2a-2b+5\]
C.	\[a+b+c=9\]
D.	\[ab+bc+ca=26,\]
Answer» B. \[a-b+5,2a-2b+5\]

Discussion

84.	A farmer divides his herd of n cows among his four sons so that first son gets one half the herd, the second son gets one fourth, the third son gets one fifth, and the fourth son gets 7 cows, then n is:
A.	180
B.	140
C.	240
D.	100
Answer» C. 240

Discussion

85.	The number 34 is divided into two parts such that the difference between them is 8. Find the larger one.
A.	20
B.	35
C.	18
D.	21
Answer» E.

Discussion

86.	If \[\Rightarrow \], then the value of \[(x-6)(x+6)=0\] is
A.	Greater than 2
B.	less than 2
C.	Greater than 4
D.	less than 4
Answer» B. less than 2

Discussion

87.	\[{{x}^{2}}-36=0\]
A.	\[{{x}^{2}}-36=0\]
B.	\[\Rightarrow \]
C.	\[{{x}^{2}}-{{6}^{2}}=0\]
D.	0
Answer» C. \[{{x}^{2}}-{{6}^{2}}=0\]

Discussion

88.	What must be subtracted from \[{{x}^{4}}+2{{x}^{2}}-3x+7\] to get \[{{x}^{3}}+{{x}^{2}}+x-1?\]
A.	\[4{{x}^{2}}+3x=0,5{{x}^{2}}\]
B.	\[a{{x}^{2}}+bx+c=0\]
C.	\[a{{\alpha }^{2}}+b\alpha +c=0\]
D.	\[5{{x}^{2}}-7x-6=0.\]
Answer» B. \[a{{x}^{2}}+bx+c=0\]

Discussion

89.	The value of\[3x=6\] is
A.	\[\Rightarrow \]
B.	1
C.	\[x=2\]
D.	0.1
Answer» B. 1

Discussion

90.	What is the total number of candidates at an examination, if 31% fail and the number of those who passed exceeds the number of those who failed by 247?
A.	605
B.	560
C.	650
D.	None of these
Answer» D. None of these

Discussion

91.	There are 62 questions in a test. Each correct answer gives 2 marks and for each wrong answer 1 mark is deducted. A student scored 34 marks and he attempted all the questions, then find the number of questions answered incorrectly
A.	34
B.	28
C.	33
D.	32
E.	None of these
Answer» E. None of these

Discussion

92.	The Polynomial, \[{{p}^{2}}+\text{ }2q\text{ }-\text{ }{{q}^{2}}+\text{ }{{r}^{2}}-\text{ }1\text{ }-\text{ }2\]pr on factorization gives _____
A.	\[\left( p\text{ }+\text{ }1\text{ }+\text{ }q \right)\text{ }\left( p\text{ }+\text{ }q\text{ }\text{ }r\text{ }-\text{ }1 \right)\]
B.	\[\left( p\text{ }\text{ }1\text{ }+\text{ }q\text{ }-\text{ }r \right)\text{ }\left( p\text{ }+\text{ }1\text{ }\text{ }q\text{ }-\text{ }r \right)\]
C.	\[\left( p\text{ }+\text{ }q\text{ }+\text{ }r\text{ }-1 \right)\text{ }\left( p\text{ }+\text{ }1\text{ }\text{ }q\text{ }+\text{ }r \right)\]
D.	\[\left( p\text{ }\text{ }1\text{ }+\text{ }r\text{ }\text{ }q \right)\text{ }\left( q\text{ }+\text{ }p\text{ }\text{ }1\text{ }-r \right)\]
E.	None of these
Answer» C. \[\left( p\text{ }+\text{ }q\text{ }+\text{ }r\text{ }-1 \right)\text{ }\left( p\text{ }+\text{ }1\text{ }\text{ }q\text{ }+\text{ }r \right)\]

Discussion

93.	A man can row at 8 kmph in still water. If the river is running at 2 kmph, it takes him 48 minutes to row to a place and back. How far is the place?
A.	1km
B.	2km
C.	3km
D.	4km
Answer» D. 4km

Discussion

94.	What must be subtracted from \[34a-22{{a}^{3}}-\] \[12{{a}^{4}}-\]\[10{{a}^{2}}-\text{ }75\] so that the resulting polynomial is exactly divisible by\[-4{{a}^{3}}+\text{ }2{{a}^{2}}-\text{ }8a\text{ }+\text{ }30\]?
A.	215
B.	-215
C.	285
D.	-285
E.	None of these
Answer» E. None of these

Discussion

Explore topic-wise MCQs in Mathematics.

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.

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.

The perimeter of a rectangular field is 456 metres. If the length of the field is four times its breadth, then find its breadth.

If 17 is subtracted from 5 times a number, the result is 78. Find the number.

In a school, \[8{{a}^{2}}+4a+9\]students were enrolled. \[2{{a}^{2}}-9a+2\]students were boys. How many girls were enrolled?

What is the 4th term of a pattern described by the expression \[{{n}^{2}}+1\]?

By how much is \[{{({{x}^{2}}-{{y}^{2}})}^{2}}\] less than \[{{x}^{4}}+8{{x}^{2}}{{y}^{2}}+{{y}^{4}}?\]

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

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

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 \[2z+2zx\] \[2zx\] \[2z\]

If \[x+y=7:y+=8;+x=9,\]what is the value of \[x+y+z?\]

In the figure given, what is the perimeter, in cm, of the triangle?

For any natural number n, what does \[2n+1\]denote?

Which expression gives the predecessor of a natural number 'n'?

What is the expression related to the pattern 7, 11, 15,......?

The degree of \[(6{{x}^{7}}-7{{x}^{3}}+3{{x}^{2}}+2x-1)\] is _____.

If \[\left( \mathbf{a}+\mathbf{b} \right)=\mathbf{5},\] then find \[{{\mathbf{a}}^{\mathbf{2}}}-\mathbf{ab}+{{\mathbf{b}}^{\mathbf{2}}}\] (given \[{{\mathbf{a}}^{\mathbf{3}}}+{{\mathbf{b}}^{\mathbf{3}}}=\mathbf{8}\])

If \[({{a}^{2}}+{{b}^{2}}+{{c}^{2}})=125\] and \[\left( \mathbf{ab}+\mathbf{b}c+\mathbf{ca} \right)=\mathbf{50}\] find the value of \[\left( \mathbf{a}+\mathbf{b}+\mathbf{c} \right)\]

The product of \[(3{{x}^{2}}+{{\mathbf{y}}^{\mathbf{2}}})\]and \[\left( 2{{x}^{2}}+3{{y}^{2}} \right)\] is

Multiply \[\left( 3x+2y \right)\left( 3x+2y \right)\]

Solve \[(4{{x}^{2}}+5)(4{{x}^{2}}+5)\]

If \[\mathbf{a}+\mathbf{b}=\mathbf{7}\]and \[\mathbf{ab}=\mathbf{12}\] then what is the value of \[{{\mathbf{a}}^{\mathbf{2}}}-\mathbf{ab}-{{\mathbf{b}}^{\mathbf{2}}}\]

The speed of a car is 48 km/hr. The distance (in km) covered by the car in 'm' hours is ___________.

The difference of the digits of two digit number is 6. The sum of the digit cannot be _________.

Which among the following statements is not true?

19 added to thrice a number is same as 8 more than 4 times the number. What is the number?

The sum of two expressions is \[{{x}^{3}}-{{x}^{2}}+3x-2\]If one of them is \[{{x}^{2}}+5x-6.\]what is the other?

The product of \[({{x}^{2}}+3x+5)\] and \[({{X}^{2}}-1)\] is______.

Mother bought some vegetables for Rs. x and some fruits for Rs.3. If she gave Rs.10, to the shopkeeper, how much change did she receive?

Using the identity \[{{a}^{2}}-{{b}^{2}}=(a+b)\,(a-b),\]valuate\[24.7\times 25.3\].

The solution of \[a+b+5,2a+2b-1\] is

A farmer divides his herd of n cows among his four sons so that first son gets one half the herd, the second son gets one fourth, the third son gets one fifth, and the fourth son gets 7 cows, then n is:

The number 34 is divided into two parts such that the difference between them is 8. Find the larger one.

If \[\Rightarrow \], then the value of \[(x-6)(x+6)=0\] is

\[{{x}^{2}}-36=0\]

What must be subtracted from \[{{x}^{4}}+2{{x}^{2}}-3x+7\] to get \[{{x}^{3}}+{{x}^{2}}+x-1?\]

The value of\[3x=6\] is

What is the total number of candidates at an examination, if 31% fail and the number of those who passed exceeds the number of those who failed by 247?

There are 62 questions in a test. Each correct answer gives 2 marks and for each wrong answer 1 mark is deducted. A student scored 34 marks and he attempted all the questions, then find the number of questions answered incorrectly

The Polynomial, \[{{p}^{2}}+\text{ }2q\text{ }-\text{ }{{q}^{2}}+\text{ }{{r}^{2}}-\text{ }1\text{ }-\text{ }2\]pr on factorization gives _____

A man can row at 8 kmph in still water. If the river is running at 2 kmph, it takes him 48 minutes to row to a place and back. How far is the place?

What must be subtracted from \[34a-22{{a}^{3}}-\] \[12{{a}^{4}}-\]\[10{{a}^{2}}-\text{ }75\] so that the resulting polynomial is exactly divisible by\[-4{{a}^{3}}+\text{ }2{{a}^{2}}-\text{ }8a\text{ }+\text{ }30\]?