332354 + Interview Questions in Secondary School in Math

1.	A finite line can be extended on its both sides endlessly to get a straight line.State whether the given statement are true or false? Also give reasons for your answers.
Answer» If u can extend a FINITE line from it's both END endlessly to get a straight line. because a line has no end, it has TWO hands which u can increase or DECREASE . So the statement here is TRUE .

Discussion

2.	3y²-15y+18. factor=?
Answer» 3y^2-9y-6y+18 3y(y-3) -6( y-3) (3y-6) (y-3)

Discussion

3.	Circles with same radii are equal.State whether the given statement are true or false? Also give reasons for your answers.
Answer» Yes , it is true LET us consider TWO circles with same radii. when we cut them and overlap one on the other. The upper one will completely overlap it. That's why we are ABLE to KNOW that circles with same radii are equal.

Discussion

4.	All right angles are equal.State whether the given statement are true or false? Also give reasons for your answers.
Answer» YES. All right ANGLES are EQUAL. An angle of measure 90° is KNOWN as a right angle. SINCE an angle of 90° is a right angle all the right angles are 90° i.e. congruent... Hence all right angles are equal.

Discussion

5.	Only one line can pass through a given point.State whether the given statement are true or false? Also give reasons for your answers.
Answer» HEY mate here is ur answer ...... Actually if u mark a point on a SHEET of paper then u can draw more than ONE line (infinite) which is passing through it. Hence the STATEMENT is FALSE.

Discussion

6.	What is sum of interior angles of a triangle ? Give answer.
Answer» Hey MATE!!! HERE IS THE ANSWER ______________________ ❣The sum of interior angles of a triangle is 180°. Hope it HELPS to you. THANX $= = = = = = = =$

Discussion

7.	(-10)³+(7)³+(3)³ ,Without actual calculating the cubes, find the value of it.
Answer» Solution : ********************************** We KNOW that , If x + y + Z = 0 , then x³ + y³ + z³ = 3XYZ ******************************** Here, x = (-10 ) , y = 7 , z = 3 , Now , x + y + z = -10 + 7 + 3 = 0 Therefore , ( -10 )³ + 7³ + 3³ = 3xyz = 3× ( -10 ) × 7 × 3 = - 630 Therefore , The VALUE of ( -10 )³ + 7³ + 3³ = - 630 •••••

Discussion

8.	What is section and midpoint formula?
Answer» HOPE this MAY HELP you..

Discussion

9.	Which number is divisible by 5809
Answer» 5809 2, 58093, 58094,etc no. r divisible by 5809. stands for MULTIPLY

Discussion

10.	(102)³,Evaluate it using suitable identites.
Answer» (102)^3 =(100+2)^3 =(100)^3+(2)^3+3 (100)^2×2+3(2)^2×100 =1,061,208

Discussion

11.	(99)³ ,Evaluate it using suitable identites.
Answer» 0

Discussion

12.	(x-2/3*y)³,Expand it, using suitable identities.
Answer» SOLUTION : *************************************** We KNOW the algebraic IDENTITY, (a-b)³ = a³- 3a²b + 3ab² - b³ *************************************** Here , a = x , b = 2Y/3 , Now , ( x - 2y/3 )³ = x³-3x²(2y/3)+3x(2y/3)² - (2y/3)³ = x³ - (3x²2y)/3 + ( 3x4y²)/9 - 8y³/27 = x³ - 2x²y + 4xy²/3 - 8y³/27 ••••

Discussion

13.	(p+1)³,Expand it, using suitable identities.
Answer» (a+b)^3= a^3+b^3+3ab (a+b) = P^3+ 1^3+3p1 (p+1) = p^3+1+3p (p+1) =p^3+1+3p^2+3p

Discussion

14.	If a-15=c and a-5=b and b=? The value of a+b+c=122
Answer» A+b+c=122 a+a-5+a-15=122 3a-20=122 a=142÷3 b=a-5 b=(142÷3)-5 b=127/3 or 42.3 ANS

Discussion

15.	(x+2y+4z)² ,Expand it, using suitable identities.
Answer» Solution : *************************************** We KNOW the ALGEBRAIC identity , (a+b+c)² = a²+b²+c²+2ab+2bc+2ca **************************************** Now , ( X + 2y + 4Z )² =x²+(2y)²+(4z)²+2x(2y)+2(2y)(4z)+2(4z)x = x² + 4y² + 16z² + 4xy + 16yz + 8zx •••••

Discussion

16.	3p²-24p+36, Factorise it using appropriate identities.
Answer» Solution : Given Quadratic expression 3p² - 24p + 36 = 3( p² - 8p + 12 ) Splitting the middle term , we GET = 3( p² -6P - 2p + 12 ) = 3 [ P( p - 6 ) - 2 ( p - 6 ) ] = 3[ ( p - 6 )( p - 2 ) ] = 3(p-6)(p-2) ••••

Discussion

17.	18a²-50, Factorise it using appropriate identities.
Answer» Solution : GIVEN 18a² - 50 = 2( 9a² - 25 ) = 2 [ ( 3A )² - 5² ] = 2( 3a + 5 )( 3a -5 ) [ SINCE , x² - y² = ( X + y )( x - y ) ] •••• Therefore , 18

Discussion

18.	4x²-y²/25, Factorise it using appropriate identities.
Answer» SOLUTION : GIVEN 4x² - y²/25 = ( 2X )² - ( y/5 )² = ( 2x + y/5 )( 2x - y/5 ) [ SINCE , a² - b² = ( a + B )( a - b ) ] •••••

Discussion

19.	4y²-4y+1, Factorise it using appropriate identities.
Answer» SOLUTION : Given Quadratic EXPRESSION is 4y² - 4y + 1 = ( 2y )² - 2 × 2y × 1 + 1² = ( 2y - 1 )² [ By algebraic IDENTITY, a² - 2ab + b² = ( a - b )² ] = ( 2y - 1 )( 2y - 1 ) ••••

Discussion

20.	Prime factorization of 23232
Answer» 23232=2×2×2×2×2×2×3×11×11

Discussion

21.	16x²+24xy+9y², Factorise it using appropriate identities.
Answer» SOLUTION : Given EXPRESSION is 16x² + 24xy + 9y² = ( 4X )² + 2 * ( 4x ) * ( 3y ) + ( 3y )² = ( 4x + 3y )² [ By algebraic identity , a² + 2ab + b² = ( a + b )² ] = ( 4x + 3y )( 4x + 3y ) ••••

Discussion

22.	30.5*29.5, Evaluate the given product without actual multiplication.
Answer» Solution : GIVEN 30.5 × 29.5 = ( 30 + 0.5 )( 30 - 0.5 ) = ( 30 )² - ( 0.5 )² [ By the ALGEBRAIC identity , ( a + b )( a - b ) = a² - b² ] = 900 - 0.25 = 899.75 Or = 899 3/4 ••••

Discussion

23.	501*501, Evaluate the given product without actual multiplication.
Answer» Here's your answer Hope it HELPS you......

Discussion

24.	501/249*1/2, Evaluate the given product without actual multiplication.
Answer» SOLUTION : 50½ × 49½ = ( 50 + 1/2 )( 50 - 1/2 ) = ( 50 )² - ( 1/2 )² = 2500 - 1/4 = 2499.75 Or = 2499 3/4 Therefore , 50½ × 49½ = 2499.75 ••••

Discussion

25.	(1+x) (1+x) ,Use suitable identities to find the given product.
Answer» ATTACHING the ANSWER . HOPE its WORTH BRAINLIEST

Discussion

26.	(x²+1/x²)(x²-1/x²) ,Use suitable identities to find the given product.
Answer» SOLUTION : *************************************** We KNOW the ALGEBRAIC IDENTITY : ( a + B )( a - b ) = a² - b² *************************************** Now , ( x² + 1/x² )( x² - 1/x² ) = ( x² )² - ( 1/x² )² = x⁴ - 1/x⁴ •♪♪♪

Discussion

27.	(3x+2)(3x-2) ,Use suitable identities to find the given product.
Answer» USE IDENTITY (a+b)×(a-b)=(a^2-b^2) so here it is (3X)^2-(2)^2 9x^2-4 hope it will HELP you.

Discussion

28.	16^4/5=? plzz solve it
Answer» Here is your ANSWER.

Discussion

29.	(x-5) (x-5) ,Use suitable identities to find the given product.
Answer» SOLUTION : **************************************** We know the algebraic identity : ( a - b )² = a² - 2AB + b² **************************************** Now , ( x - 5 )( x - 5 ) = ( x - 5 )² = x² - 2 × x × 5 + 5² = x² - 10x + 25 Therefore , ( x - 5 )² = x² - 10x + 25 •••••

Discussion

30.	(x+5) (x+2) ,Use suitable identities to find the given product.
Answer» Solution : ************************************* We KNOW the algebraic identity , ( x + a )( x + b ) = x² + ( a + b )x + ab ************************************** Now , ( x + 5 )( x + 2 ) = x² + ( 5 + 2 )x + 5 × 2 = x² + 7X + 10 Therefore , ( x + 5 )( x + 2 ) = x² + 7x + 10 ••••

Discussion

31.	X³-2x²-x+2. Factorize it.
Answer» (x^2-1) (x-2) is your ANSWER

Discussion

32.	f(x)=4x³+20x²+33x+18,g(x)=2x+3,Use the Factor Theorem to determine whether g(x) is factor of f(x) in each cases.
Answer» Dear friend, Here's your answer... HOPE it HELPS you!! PLEASE MARK my answer as BRAINLIEST !

Discussion

33.	f(x)=x³-4x²+x+6, g(x)=x-2,Use the Factor Theorem to determine whether g(x) is factor of f(x) in each cases.
Answer» YES G(X) is a FACTOR of P(x)

Discussion

34.	f(x)=x³+3x²+3x+1,g(x)=x+1,Use the Factor Theorem to determine whether g(x) is factor of f(x) in each cases.
Answer» <P>********************************* Factor Theorem : Let p(x) be a polynomial of degree ONE or more than 1 and a is a real number . Then, i ) x - a , will be a factor of p(x), if p(a) = 0 , Conversely , ii ) If x - a is a factor of p(x) , then p(a) = 0. ***********************************, Here , F(x) = x³ + 3x² + 3X + 1 , G(x) = x + 1 , g(x) = 0 => x + 1 = 0 => x = -1 , Therefore , ZERO of g(x) is -1. Now , F(-1) = (-1)³ + 3(-1)² + 3(-1) + 1 = -1 + 3 - 3 + 1 = -4 + 4 = 0 Therefore , By Factor theorem , g(x) is a factor of F(x). ••••••

34.

f(x)=x³+3x²+3x+1,g(x)=x+1,Use the Factor Theorem to determine whether g(x) is factor of f(x) in each cases.

Answer»

<P>***********************************

Factor Theorem :

Let p(x) be a polynomial of

degree ONE or more than 1

and a is a real number . Then,

i ) x - a , will be a factor of p(x),

if p(a) = 0 ,

Conversely ,

ii ) If x - a is a factor of p(x) , then

p(a) = 0.

*************************************,

Here ,

F(x) = x³ + 3x² + 3X + 1 ,

G(x) = x + 1 ,

g(x) = 0

=> x + 1 = 0

=> x = -1 ,

Therefore ,

ZERO of g(x) is -1.

Now ,

F(-1) = (-1)³ + 3(-1)² + 3(-1) + 1

= -1 + 3 - 3 + 1

= -4 + 4

= 0

Therefore ,

By Factor theorem ,

g(x) is a factor of F(x).

••••••

Discussion

35.	f(x)=5x³+x²-5x-1,g(x)=x+1 ,Use the Factor Theorem to determine whether g(x) is factor of f(x) in each cases.
Answer» YES G(X) is a FACTOR of P(x).

Discussion

36.	X+1 ,Find the remainder when x³+3x²+3x+1 is divided by the given Linear polynomial.
Answer» REMAINDER will be 0

Discussion

37.	F(x)=2x-3 ,Find the zero of the polynomial in give case.
Answer» Hey mate! here's your answer! since, f(X) = 2x-3 and to find 0 of the POLYNOMIAL, so, 2x - 3 = 0 => 2x = 0+3 => x = 3/2 that's your answer! HOPE it was helpful!

Discussion

38.	F(x)=x-2 ,Find the zero of the polynomial in give case.
Answer» Zero of the POLYNOMIAL in GIVEN case is zero hope this may HELP you..

Discussion

39.	The perimeter of a parrallogram is 80 m.If the larger side is 10 m greater than the smaller side . Then find the length of the side of a parrallogram
Answer» Here's SOLUTIONS of UR QUESTION

Discussion

40.	State board solve question easy explain Hindi
Answer» ANSWER of this QUESTION is x=75,y=75,z=75 I HOPE that it is RIGHT

Discussion

41.	A die is thrown . find the probability of getting a) prime number b) 2 or 4 c) a multiple of 2or 3
Answer» the ANSWER of :a)3/6=1/2 B)2/6=1/3 C)3/6=1/2

41.

A die is thrown . find the probability of getting a) prime number b) 2 or 4 c) a multiple of 2or 3

Answer»

the ANSWER of :a)3/6=1/2

B)2/6=1/3

C)3/6=1/2

Discussion

42.	IfcosecA=2 THEN find sinA by 1+cos a
Answer» This is your ANSWER

Discussion

43.	P(x)=x²-3x+2,Find p(0), p(1) and p(2) for each of the give polynomial.
Answer» HEY MATE HERE IS UR ANS p(X) = x^2 -3x +2 if p(0) = (0)^2-3(0)+2 =2 if p(1) = x^2-3x+2 =(1)^2-3(1)+2 =0 ifp(2)= x^2-3x+2 =(2)^2-3(2)+2 =4-6+2 =-2+2 =0 HOPE IT HELPS U DEAR ☺☺☺ ßE ßRAINLY...

Discussion

44.	P(x)=x²-x +1, Find p(0), p(1) and p(2) for each of the give polynomial.
Answer» <P>p(0)= 0-0+1=1 p(1)=1-1+1=1 p(2)=4-2+1=3

44.

P(x)=x²-x +1, Find p(0), p(1) and p(2) for each of the give polynomial.

Answer»

<P>p(0)= 0-0+1=1

p(1)=1-1+1=1

p(2)=4-2+1=3

Discussion

45.	Find the value of the polynomial 4x² -5x+3, when x =1/2
Answer» $\bold{Answer :}$ LET us TAKE, f(X) = 4x² - 5x + 3 When x = 1/2, f (1/2) = 4 (1/2)² - 5 (1/2) + 3 = 4 (1/4) - 5/2 + 3 = 1 - 5/2 + 3 = (2 - 5 + 6)/2 = 3/2 # $\bold{MarkAsBrainliest}$

Discussion

46.	R² is monomial.Write whether the given statement are True or False. Justify your answer.
Answer» HEY MATE!! ➡The given STATEMENT is true because a monomial has only one TERM and in th given polynomial r² has only one term . Hope it HELPS to you. $= = = = = = = = = =$

Discussion

47.	The degree of x²+2xy+y² is 2.Write whether the given statement are True or False. Justify your answer.
Answer» Hey mate!! ➡The GIVEN statement is true because as we know the highest POWER in the given polynomial is the degree of the polynomial and in the given polynomial x²+2xy+y² the highest power is 2. ➡So the statement is CORRECT. HOPE it HELPS to you. $= = = = = = =$

Discussion

48.	A binomial may have degree 3.Write whether the given statement are True or False. Justify your answer.
Answer» Hey mate!!! HERE IS THE ANSWER: - A binomial may have degree 3 . ✔This STATEMENT is TRUE because binomial has two terms which is COMPARED on the basis of terms . ✔and a polynomial of degree 3 is called a cubic polynomial . Example: ${ -2x}^{2} + y$ therefore the given statement is true. hope it helps to you.

Discussion

49.	Every polynomial is a binomial.Write whether the given statement are True or False. Justify your answer.
Answer» FALSE because a POLYNOMIAL can be BINOMIAL, MONOMIAL, TRINOMIAL

Discussion

50.	A binomial can have at the most two terms. Write whether the given statement are True or False. Justify your answer.
Answer» $Given \: statement :$ $\blue{ A \:binomial \: can \:have \: at \: the }$ $\blue{ most \:<klux>TWO</klux> \:<klux>TERMS</klux> }$ $\pink { ( False ) }$ $\underline{\orange{Binomial:}}$ A BIONOMIAL is a polynomial with exactly two terms . Examples: 3x + y -x+7 y - 28 •••♪

50.

A binomial can have at the most two terms. Write whether the given statement are True or False. Justify your answer.

Answer»

$Given \: statement :$

$\blue{ A \:binomial \: can \:have \: at \: the }$

$\blue{ most \:<klux>TWO</klux> \:<klux>TERMS</klux> }$

$\pink { ( False ) }$

$\underline{\orange{Binomial:}}$

A BIONOMIAL is a polynomial with exactly two terms .

Examples:

3x + y
-x+7
y - 28

•••♪

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A finite line can be extended on its both sides endlessly to get a straight line.State whether the given statement are true or false? Also give reasons for your answers.

3y²-15y+18. factor=?

Circles with same radii are equal.State whether the given statement are true or false? Also give reasons for your answers.

All right angles are equal.State whether the given statement are true or false? Also give reasons for your answers.

Only one line can pass through a given point.State whether the given statement are true or false? Also give reasons for your answers.

What is sum of interior angles of a triangle ? Give answer.

(-10)³+(7)³+(3)³ ,Without actual calculating the cubes, find the value of it.

What is section and midpoint formula?

Which number is divisible by 5809

(102)³,Evaluate it using suitable identites.

(99)³ ,Evaluate it using suitable identites.

(x-2/3*y)³,Expand it, using suitable identities.

(p+1)³,Expand it, using suitable identities.

If a-15=c and a-5=b and b=? The value of a+b+c=122

(x+2y+4z)² ,Expand it, using suitable identities.

3p²-24p+36, Factorise it using appropriate identities.

18a²-50, Factorise it using appropriate identities.

4x²-y²/25, Factorise it using appropriate identities.

4y²-4y+1, Factorise it using appropriate identities.

Prime factorization of 23232

16x²+24xy+9y², Factorise it using appropriate identities.

30.5*29.5, Evaluate the given product without actual multiplication.

501*501, Evaluate the given product without actual multiplication.

50*1/2*49*1/2, Evaluate the given product without actual multiplication.

(1+x) (1+x) ,Use suitable identities to find the given product.

(x²+1/x²)(x²-1/x²) ,Use suitable identities to find the given product.

(3x+2)(3x-2) ,Use suitable identities to find the given product.

16^4/5=? plzz solve it

(x-5) (x-5) ,Use suitable identities to find the given product.

(x+5) (x+2) ,Use suitable identities to find the given product.

X³-2x²-x+2. Factorize it.

f(x)=4x³+20x²+33x+18,g(x)=2x+3,Use the Factor Theorem to determine whether g(x) is factor of f(x) in each cases.

f(x)=x³-4x²+x+6, g(x)=x-2,Use the Factor Theorem to determine whether g(x) is factor of f(x) in each cases.

f(x)=x³+3x²+3x+1,g(x)=x+1,Use the Factor Theorem to determine whether g(x) is factor of f(x) in each cases.

f(x)=5x³+x²-5x-1,g(x)=x+1 ,Use the Factor Theorem to determine whether g(x) is factor of f(x) in each cases.

X+1 ,Find the remainder when x³+3x²+3x+1 is divided by the given Linear polynomial.

F(x)=2x-3 ,Find the zero of the polynomial in give case.

F(x)=x-2 ,Find the zero of the polynomial in give case.

The perimeter of a parrallogram is 80 m.If the larger side is 10 m greater than the smaller side . Then find the length of the side of a parrallogram

State board solve question easy explain Hindi

A die is thrown . find the probability of getting a) prime number b) 2 or 4 c) a multiple​ of 2or 3

IfcosecA=2 THEN find sinA by 1+cos a

P(x)=x²-3x+2,Find p(0), p(1) and p(2) for each of the give polynomial.

P(x)=x²-x +1, Find p(0), p(1) and p(2) for each of the give polynomial.

Find the value of the polynomial 4x² -5x+3, when x =1/2

R² is monomial.Write whether the given statement are True or False. Justify your answer.

The degree of x²+2xy+y² is 2.Write whether the given statement are True or False. Justify your answer.

A binomial may have degree 3.Write whether the given statement are True or False. Justify your answer.

Every polynomial is a binomial.Write whether the given statement are True or False. Justify your answer.

A binomial can have at the most two terms. Write whether the given statement are True or False. Justify your answer.

501/249*1/2, Evaluate the given product without actual multiplication.

A die is thrown . find the probability of getting a) prime number b) 2 or 4 c) a multiple of 2or 3