$${I.{(13)^{2}}-14+28=x}$$$${II.{(16)^{2}}-8 7=y}$$

x=y or the relationship cannot be established

Direction: Equation number I and II are given. You have to solve both the question and answer.$$ {I.x^{2}={144}}$$$$ {II.y^{2}-24y+144=0}$$

Relation between x and y cannot be determined

$$ {I.2x^{2}-{9x}+10=0}$$$$ {II.2y^{2}-13y+20=0}$$

Relation between x and y cannot be determined

48 + Mcqs in Equation Questions in Maths Page 1 McqOptions

1.	(Smallest common multiple of 36 and 60) (Biggest common factor of 18 and 45) is equal to?
A.	40
B.	10
C.	20
D.	30
Answer» D. 30

Discussion

2.	If $$ left( x^2+{1 over x^2} right)- left( x - {1 over 4} right)- 7 =0 $$ then two value of x are :
A.	1, 2
B.	$$ 2, -{1 over 2} $$
C.	0, 1
D.	$$ {1 over 2} , 1 $$
Answer» C. 0, 1

Discussion

3.	I. x² + 13x = - 42 II. y² + 16y + 63 = 0
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» C. C

Discussion

4.	I. 2x+ 3y II. 4x + 2y=16
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» F.

Discussion

5.	I. x²- 1 = 0 II. y²+ 4y + 3 = 0.
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» E. E

Discussion

6.	I. x²-7x + 12 = 0 II. y² - 12y + 32 = 0
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» B. B

Discussion

7.	I.x³-371 = 629 II.y³- 543 = 788
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» D. D

Discussion

8.	Factor of $$ {12x^{2}+7y^{2}-12}$$ is__
A.	(4y+3)
B.	(3y-4)
C.	(4y-3)
D.	(3y+2)
Answer» D. (3y+2)

Discussion

9.	Factor of $$ {ab-a-b+1}$$ is
A.	(a-1)(b-1)
B.	(a+1)(b-1)
C.	(a-1)(b+1)
D.	(a+b)(b-1)
Answer» B. (a+1)(b-1)

Discussion

10.	13x -14= 9x+10 what is the value of x ?
A.	6
B.	2
C.	1
D.	3
Answer» B. 2

Discussion

11.	I. 2x²+11x+12=0 II. 5y²+27y+10=0
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» F.

Discussion

12.	If 4x+5y=83 and $$ {3x over2y}={21 over22}$$then what is the value of y-x ?
A.	3
B.	4
C.	7
D.	11
E.	None of these
Answer» C. 7

Discussion

13.	If 3x+0.04x=0.608, find x.
A.	2
B.	0.2
C.	0.02
D.	0.002
Answer» C. 0.02

Discussion

14.	If and are the roots of the equation x² + x - 1 = 0, then what is the equation whose roots are and ⁵ and ⁵?
A.	$$x^2 - 11x - 1 = 0 $$
B.	$$x^2 + 11x - 1 = 0$$
C.	$$x^2 + 7x - 1 = 0 $$
D.	$$x^2 - 7x- 1 = 0 $$
Answer» C. $$x^2 + 7x - 1 = 0 $$

Discussion

15.	I. x² 1 =0 II. y²+4y+3=0
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» C. C

Discussion

16.	I. x³-371=629 II.y³ 543 =788
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» D. D

Discussion

17.	I. 5x+2y=31 II. 3x+7y=36
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» B. B

Discussion

18.	What are the roots of the equation log₁₀(x²-6x+45) =2?
A.	9, - 5
B.	-9, 5
C.	11, -5
D.	-11, 5
Answer» D. -11, 5

Discussion

19.	If 2x + 3y = 87 and 3x 3y = 48, what is the value of x?
A.	29
B.	11
C.	72
D.	None of these
Answer» E.

Discussion

20.	I. x² 7x+ 12=0 II. y²-12y+32 =0
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» E. E

Discussion

21.	If the difference between the roots of the equation Ax²+BX+C = 0 is 4, then which of the following is TRUE?
A.	$$B^2 - 16A^2 = 4AC + 4B^2 $$
B.	$$B^2 - 10A^2 = 4AC + 6A^2$$
C.	$$B^2 - 8A^2 = 4AC + 10A^2 $$
D.	$$B^2 - 16A^2 = 4A^C + 8B^2$$
Answer» C. $$B^2 - 8A^2 = 4AC + 10A^2 $$

Discussion

22.	If one root of the equation Ax²+Bx+C = 0 is two and a half times the others, then which of the following is TRUE?
A.	$$7B^2= 3 CA $$
B.	$$7B^2 = 4 CA$$
C.	$$7B^2 = 36 CA $$
D.	$$10B^2 = 49 CA $$
Answer» E.

Discussion

23.	If and are the roots of equation x² - 2x + 4 - 0, then what is the equation whose roots are ³/ ² and ³/ ²?
A.	$$x^2 - 4x + 8 = 0 $$
B.	$$x^2 - 32x + 4 = 0 $$
C.	$$x^2 - 2x + 4 = 0 $$
D.	$$x^2 - 16x + 4 = 0 $$
Answer» D. $$x^2 - 16x + 4 = 0 $$

Discussion

24.	(3x-7)³+(3x-8)³+(3x+6)³=3(3x-7)(3x-8)(3x+6) Find the value of x ?
A.	3
B.	1
C.	4
D.	2
Answer» C. 4

Discussion

25.	I. $$ {4x^2-4x-3=0}$$ II. $$ {4y^2+12y+5=0}$$
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» F.

Discussion

26.	I. $$ {x^2+9x+14=0}$$ II. $$ {y^2+y=2}$$
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» E. E

Discussion

27.	I. $$ {2x^2+7x+6=0}$$ II. $${2y^2+7y+5=0}$$
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» F.

Discussion

28.	I. $$ {9x^2+5=18x}$$ II. $${2y^2-9y+10=0}$$
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» D. D

Discussion

29.	If and are the roots of equation $$ {x^2-2x+4=0}$$, then what is the equation whose roots are ${ ^3} over{ ^2}$$ and $${ ^3} over{ ^2}$$.
A.	$$ {x^2-4x+8=0}$$
B.	$$ {x^2-32x+4=0}$$
C.	$$ {x^2-2x+4=0}$$
D.	$$ {x^2-16x+4=0}$$
Answer» D. $$ {x^2-16x+4=0}$$

Discussion

30.	If one root of the equation $$ {Ax^2+Bx+C=0}$$ is two and a half times the others, then which of the following is True?
A.	$$ {7B^2=3CA}$$
B.	$$ {7B^2=4CA}$$
C.	$$ {7B^2=36CA}$$
D.	$$ {10B^2=49CA}$$
Answer» E.

Discussion

31.	If $$ {x^2-12x+33=0}$$, then what is the value of $${(x-4)^2+[{1 over({x-4})^2}}]$$.
A.	16
B.	18
C.	20
D.	14
Answer» E.

Discussion

32.	I. $$ {4x^2=49}$$ II. $$ {9y^2-66y+121=0}$$
A.	A
B.	B
C.	C
D.	D
E.	E
Answer» D. D

Discussion

33.	In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains 9 and 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was
A.	x2 + 10x + 9 = 0
B.	x2 10x = 16 = 0
C.	x2 10x + 9 = 0
D.	None of these
Answer» D. None of these

Discussion

34.	Find the exact value of the following question:
A.	$$ 13{2 over5}$$
B.	$$ 11{3 over8}$$
C.	13
D.	None of these
E.	11
Answer» C. 13

Discussion

35.	Find the exact value of the following question:
A.	62
B.	47
C.	43
D.	53
E.	57
Answer» C. 43

Discussion

36.	A root of equation $$({ax}^2+bx+c)$$ (where a, b and c are rational numbers) is 5 +3 3. What is the value of $$({a}^2+b^2+c^2) / (a+b+c) ? $$
A.	35/3
B.	37/3
C.	-105/11
D.	-105/13
Answer» D. -105/13

Discussion

37.	The factors of $$ x^2-2x-15 $$ are:
A.	(x+5) (x 3)
B.	(x 5) (x 3)
C.	(x 3) (x 1)
D.	(x 5) (x+3)
Answer» E.

Discussion

38.	If $$ {4x^2}={25}^2-{15}^2 $$, then find the value of x.
A.	10
B.	50
C.	100
D.	25
Answer» B. 50

Discussion

39.	If a + b = -2 and a - b = 12, find b.
A.	5
B.	-5
C.	7
D.	-7
Answer» E.

Discussion

40.	Solve: 0.05 0.4
A.	2
B.	0.02
C.	0.2
D.	0.002
Answer» C. 0.2

Discussion

41.	$${I.{(13)^{2}}-14+28=x}$$ $${II.{(16)^{2}}-8 7=y}$$
A.	x y
B.	x y
C.	x y
D.	x y
E.	x=y or the relationship cannot be established
Answer» D. x y

Discussion

42.	The value of 64 2 (9 3) 3 9-32 is:
A.	1
B.	0
C.	-2
D.	2
Answer» C. -2

Discussion

43.	Direction: Equation number I and II are given. You have to solve both the question and answer. $$ {I.x^{2}={144}}$$ $$ {II.y^{2}-24y+144=0}$$
A.	x y
B.	x y
C.	Relation between x and y cannot be determined
D.	x y
E.	x > y
Answer» B. x y

Discussion

44.	$$ {I.2x^{2}-{9x}+10=0}$$ $$ {II.2y^{2}-13y+20=0}$$
A.	x y
B.	x y
C.	Relation between x and y cannot be determined
D.	x y
E.	x y
Answer» B. x y

Discussion

45.	In equation $$ {x^{2}-24x+k=0}$$ the first root is x=2 then find out the second root of equation.
A.	x=-22
B.	x=12
C.	x=22
D.	x=-12
Answer» D. x=-12

Discussion

46.	$${I. sqrt{200x}+ sqrt{102}=0}$$ $${II. sqrt{160y}+ sqrt{200}=0}$$
A.	x y
B.	x y
C.	x y
D.	x y
E.	x = y
Answer» B. x y

Discussion

47.	Which of the following is linear equation.
A.	14 x =8
B.	$$ {14x^{2}+3=8}$$
C.	$$ {2^{3}+8=0}$$
D.	$$ {x+{1 over x}=3}$$
Answer» B. $$ {14x^{2}+3=8}$$

Discussion

48.	$$ ({2+ sqrt{5}})$$ and $$ ({2- sqrt{5}})$$ is a quadratic equation with roots.
A.	$$ {x^{2}-3x-4=0}$$
B.	$$ {x^{2}+3x-4=0}$$
C.	$$ {x^{2}-3x+4=0}$$
D.	$$ {x^{2}+3x+4=0}$$
Answer» B. $$ {x^{2}+3x-4=0}$$

Discussion

Explore topic-wise MCQs in Maths.

(Smallest common multiple of 36 and 60) (Biggest common factor of 18 and 45) is equal to?

If $$ left( x^2+{1 over x^2} right)- left( x - {1 over 4} right)- 7 =0 $$ then two value of x are :

I. x2 + 13x = - 42 II. y2 + 16y + 63 = 0

I. 2x+ 3y II. 4x + 2y=16

I. x2- 1 = 0 II. y2+ 4y + 3 = 0.

I. x2-7x + 12 = 0II. y2 - 12y + 32 = 0

I.x3-371 = 629II.y3 - 543 = 788

Factor of $$ {12x^{2}+7y^{2}-12}$$ is__

Factor of $$ {ab-a-b+1}$$ is

13x -14= 9x+10 what is the value of x ?

I. 2x2+11x+12=0II. 5y2+27y+10=0

If 4x+5y=83 and $$ {3x over2y}={21 over22}$$then what is the value of y-x ?

If 3x+0.04x=0.608, find x.

If and are the roots of the equation x2 + x - 1 = 0, then what is the equation whose roots are and 5 and 5 ?

I. x2 1 =0II. y2+4y+3=0

I. x3-371=629II.y3 543 =788

I. 5x+2y=31II. 3x+7y=36

What are the roots of the equation log10(x2-6x+45) =2?

If 2x + 3y = 87 and 3x 3y = 48, what is the value of x?

I. x2 7x+ 12=0II. y2-12y+32 =0

If the difference between the roots of the equation Ax2+BX+C = 0 is 4, then which of the following is TRUE?

If one root of the equation Ax2+Bx+C = 0 is two and a half times the others, then which of the following is TRUE?

If and are the roots of equation x2 - 2x + 4 - 0, then what is the equation whose roots are 3/ 2 and 3/ 2?

(3x-7)3+(3x-8)3+(3x+6)3=3(3x-7)(3x-8)(3x+6)Find the value of x ?

I. $$ {4x^2-4x-3=0}$$II. $$ {4y^2+12y+5=0}$$

I. $$ {x^2+9x+14=0}$$II. $$ {y^2+y=2}$$

I. $$ {2x^2+7x+6=0}$$II. $${2y^2+7y+5=0}$$

I. $$ {9x^2+5=18x}$$II. $${2y^2-9y+10=0}$$

If and are the roots of equation $$ {x^2-2x+4=0}$$, then what is the equation whose roots are ${ ^3} over{ ^2}$$ and $${ ^3} over{ ^2}$$.

If one root of the equation $$ {Ax^2+Bx+C=0}$$ is two and a half times the others, then which of the following is True?

If $$ {x^2-12x+33=0}$$, then what is the value of $${(x-4)^2+[{1 over({x-4})^2}}]$$.

I. $$ {4x^2=49}$$II. $$ {9y^2-66y+121=0}$$

In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains 9 and 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was

Find the exact value of the following question:

Find the exact value of the following question:

A root of equation $$({ax}^2+bx+c)$$ (where a, b and c are rational numbers) is 5 +3 3. What is the value of $$({a}^2+b^2+c^2) / (a+b+c) ? $$

The factors of $$ x^2-2x-15 $$ are:

If $$ {4x^2}={25}^2-{15}^2 $$, then find the value of x.

If a + b = -2 and a - b = 12, find b.

Solve: 0.05 0.4

$${I.{(13)^{2}}-14+28=x}$$$${II.{(16)^{2}}-8 7=y}$$

The value of 64 2 (9 3) 3 9-32 is:

Direction: Equation number I and II are given. You have to solve both the question and answer.$$ {I.x^{2}={144}}$$$$ {II.y^{2}-24y+144=0}$$

$$ {I.2x^{2}-{9x}+10=0}$$$$ {II.2y^{2}-13y+20=0}$$

In equation $$ {x^{2}-24x+k=0}$$ the first root is x=2 then find out the second root of equation.

$${I. sqrt{200x}+ sqrt{102}=0}$$$${II. sqrt{160y}+ sqrt{200}=0}$$

Which of the following is linear equation.

$$ ({2+ sqrt{5}})$$ and $$ ({2- sqrt{5}})$$ is a quadratic equation with roots.

I. x² + 13x = - 42
II. y² + 16y + 63 = 0

I. 2x+ 3y
II. 4x + 2y=16

I. x²- 1 = 0
II. y²+ 4y + 3 = 0.

I. x²-7x + 12 = 0
II. y² - 12y + 32 = 0

I.x³-371 = 629
II.y³- 543 = 788

I. 2x²+11x+12=0
II. 5y²+27y+10=0

If and are the roots of the equation x² + x - 1 = 0, then what is the equation whose roots are and ⁵ and ⁵?

I. x² 1 =0
II. y²+4y+3=0

I. x³-371=629
II.y³ 543 =788

I. 5x+2y=31
II. 3x+7y=36

What are the roots of the equation log₁₀(x²-6x+45) =2?

I. x² 7x+ 12=0
II. y²-12y+32 =0

If the difference between the roots of the equation Ax²+BX+C = 0 is 4, then which of the following is TRUE?

If one root of the equation Ax²+Bx+C = 0 is two and a half times the others, then which of the following is TRUE?

If and are the roots of equation x² - 2x + 4 - 0, then what is the equation whose roots are ³/ ² and ³/ ²?

(3x-7)³+(3x-8)³+(3x+6)³=3(3x-7)(3x-8)(3x+6)
Find the value of x ?

I. $$ {4x^2-4x-3=0}$$
II. $$ {4y^2+12y+5=0}$$

I. $$ {x^2+9x+14=0}$$
II. $$ {y^2+y=2}$$

I. $$ {2x^2+7x+6=0}$$
II. $${2y^2+7y+5=0}$$

I. $$ {9x^2+5=18x}$$
II. $${2y^2-9y+10=0}$$

I. $$ {4x^2=49}$$
II. $$ {9y^2-66y+121=0}$$

$${I.{(13)^{2}}-14+28=x}$$
$${II.{(16)^{2}}-8 7=y}$$

Direction: Equation number I and II are given. You have to solve both the question and answer.
$$ {I.x^{2}={144}}$$
$$ {II.y^{2}-24y+144=0}$$

$$ {I.2x^{2}-{9x}+10=0}$$
$$ {II.2y^{2}-13y+20=0}$$

$${I. sqrt{200x}+ sqrt{102}=0}$$
$${II. sqrt{160y}+ sqrt{200}=0}$$