Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the maximam value of the directional derivative of x2y2​

Answer» ONG>Step-by-step explanation:

there should be a............... FITTED at the height of your HOUSE

2.

What is the value of y for the equation 15x+45y=105 and 45x+15y=195​

Answer»

ong>Answer:

IDK BUT I WILL KEEP ON TRYING BRO

Step-by-step EXPLANATION:

3.

Find the value of polynomial P(x) = 2 + x + 2x² - x² at x = 2​

Answer» ONG>Step-by-step EXPLANATION:

p(X)= 2+x+2x^2-x^2

p(2) = 2 + 2 + 2(2)^2 -2^2

= 4 + 2×4 -4

= 12-4

= 8

please MARK me as the brainliest !

4.

Solve the quadratic equation by factoraization method 5x suqare-2x-9=0​

Answer»

ong>Answer:

Step by step solution :

STEP

1

:

Equation at the end of step 1

(5x2 - 2x) - 9 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 5x2-2x-9

The first term is, 5x2 its coefficient is 5 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -9

Step-1 : Multiply the coefficient of the first term by the constant 5 • -9 = -45

Step-2 : Find two factors of -45 whose sum equals the coefficient of the middle term, which is -2 .

-45 + 1 = -44

-15 + 3 = -12

-9 + 5 = -4

-5 + 9 = 4

-3 + 15 = 12

-1 + 45 = 44

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

2

:

5x2 - 2x - 9 = 0

STEP

3

:

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = 5x2-2x-9

PARABOLAS have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 5 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model MANY real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 0.2000

Plugging into the parabola formula 0.2000 for x we can calculate the y -coordinate :

y = 5.0 * 0.20 * 0.20 - 2.0 * 0.20 - 9.0

or y = -9.200

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = 5x2-2x-9

Axis of Symmetry (dashed) {x}={ 0.20}

Vertex at {x,y} = { 0.20,-9.20}

x -Intercepts (Roots) :

Root 1 at {x,y} = {-1.16, 0.00}

Root 2 at {x,y} = { 1.56, 0.00}

Solve Quadratic Equation by Completing The Square

3.2 Solving 5x2-2x-9 = 0 by Completing The Square .

Divide both sides of the equation by 5 to have 1 as the coefficient of the first term :

x2-(2/5)x-(9/5) = 0

Add 9/5 to both side of the equation :

x2-(2/5)x = 9/5

Now the clever BIT: Take the coefficient of x , which is 2/5 , divide by two, giving 1/5 , and finally square it giving 1/25

Add 1/25 to both sides of the equation :

On the right hand side we have :

9/5 + 1/25 The common denominator of the two fractions is 25 Adding (45/25)+(1/25) gives 46/25

So adding to both sides we finally get :

x2-(2/5)x+(1/25) = 46/25

Adding 1/25 has completed the left hand side into a perfect square :

x2-(2/5)x+(1/25) =

(x-(1/5)) • (x-(1/5)) =

(x-(1/5))2

Things which are equal to the same thing are also equal to one another. Since

x2-(2/5)x+(1/25) = 46/25 and

x2-(2/5)x+(1/25) = (x-(1/5))2

then, according to the law of TRANSITIVITY,

(x-(1/5))2 = 46/25

We'll refer to this Equation as Eq. #3.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x-(1/5))2 is

(x-(1/5))2/2 =

(x-(1/5))1 =

x-(1/5)

Now, applying the Square Root Principle to Eq. #3.2.1 we get:

x-(1/5) = √ 46/25

Add 1/5 to both sides to obtain:

x = 1/5 + √ 46/25

Since a square root has two VALUES, one positive and the other negative

x2 - (2/5)x - (9/5) = 0

has two solutions:

x = 1/5 + √ 46/25

or

x = 1/5 - √ 46/25

Note that √ 46/25 can be written as

√ 46 / √ 25 which is √ 46 / 5

Solve Quadratic Equation using the Quadratic Formula

3.3 Solving 5x2-2x-9 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 5

B = -2

C = -9

Accordingly, B2 - 4AC =

4 - (-180) =

184

Applying the quadratic formula :

2 ± √ 184

x = —————

10

Can √ 184 be simplified ?

Yes! The prime factorization of 184 is

2•2•2•23

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 184 = √ 2•2•2•23 =

± 2 • √ 46

√ 46 , rounded to 4 decimal digits, is 6.7823

So now we are looking at:

x = ( 2 ± 2 • 6.782 ) / 10

Two real solutions:

x =(2+√184)/10=(1+√ 46 )/5= 1.556

or:

x =(2-√184)/10=(1-√ 46 )/5= -1.156

Two solutions were found :

x =(2-√184)/10=(1-√ 46 )/5= -1.156

x =(2+√184)/10=(1+√ 46 )/5= 1.556

5.

4x - 9 =  7  then  x= ? ​

Answer» 9 = 7

By USING transposition method, we get

4x = 7 + 9

or, x = 16/4

or, x = 4

The value of x is 4.

6.

(2a-3b)³ Algebric Identity​

Answer»

align="ABSMIDDLE" alt="{\boxed{\red{\sf{(a+b)³=a³-b³-3ab(a-b)}}}}" CLASS="latex-formula" ID="TexFormula1" src="https://tex.z-dn.net/?F=%7B%5Cboxed%7B%5Cred%7B%5Csf%7B%28A%2Bb%29%C2%B3%3Da%C2%B3-b%C2%B3-3ab%28a-b%29%7D%7D%7D%7D" title="{\boxed{\red{\sf{(a+b)³=a³-b³-3ab(a-b)}}}}">

(2a-3b)³ = 8a³ - 27b³ - 3(2a)(3b)(2a-3b)

= 8a³ - 27b³ - 36a²b + 54ab²

Mark as Brainliest

Near to genius

7.

A.M of two quantities 5 and 7 is​

Answer»

ong>Answer:

Given A=27 and H=12.

But we know that A, G, H are in G.P.

∴G

2

=A.H.=27×12=9×36

∴G=3×6=18.

Step-by-step explanation:

I HOPE IT MA

Y HELP YOU.....

PLEASE MARK ME AS BRAINLIEST.....

AND PLEASE FOLLOW ME....

8.

'If 21y5 is a multiple of 9 , where y is a digit , what is the value of y?​

Answer»

Number is 2115

And VALUE of y is 1

Steps :

21y5 is a multiple of 9

We know that divisibility by 9 rule

If the sum of the digits of a number is DIVISIBLE by 9, then the number is divisible by 9

So,

2+1+y+5 = 9 or 0

8+y = 9 or 0

8+y = 0 and 8+y = 9

y = - 8 and y = 1

y = - 8 not possible

Hence

y = 1 is the answer

9.

Determine the degree of y(y – 1) please answer ​

Answer» ONG>ANSWER:

degree of this EQUATION is one

10.

A train 150 metre long crosses a tree in 6 seconds. What is the speed of the train in km/ hr.​

Answer» ONG>Answer:

may be my answer HELPS you

Step-by-step EXPLANATION:

The SPEED of the train=150/1000÷6/3600=150/1000×3600/6=90 km/hr .

11.

Who is machan.............​

Answer» ONG>ANSWER:

BROTHER in law

Step-by-step EXPLANATION:

12.

6x2 + 2x - 4x2 + 3x =​

Answer» ONG>Step-by-step explanation:

6x2-4x2+2x+3X

2x2+5x=0

x=0 x+5=0

x=-5

13.

Find the value of tan75° and cot75° (with proof)​

Answer» ONG>Step-by-step explanation:

To FIND:-

  • The values of tan75° and cot75°

Solution:-

The value of tan75°

= tan(45° + 30°)

It is in the form → tan(A + B)

• A = 45°

• B = 30°

\boxed{  \leadsto\sf tan(A + B) =  \dfrac{tanA + tanB}{1 - tanA.tanB} }

\sf   =  \dfrac{tan45 + tan30}{1 - tan45 \times tan30}

\sf   =  \dfrac{ \dfrac{ \sqrt{3}  + 1}{  \cancel{\sqrt{3}} }  }{ \dfrac{ \sqrt{3} - 1 }{  \cancel{\sqrt{3}} } } = \dfrac{ \sqrt{3}  + 1}{   \sqrt{3} - 1}

By RATIONALISING the denominator:-

\sf   =  \dfrac{ \sqrt{3}  + 1}{   \sqrt{3} - 1} \times   \dfrac{ \sqrt{3} + 1 }{ \sqrt{3} + 1 }

\sf   =  \dfrac{ (\sqrt{3}+1)^{2} }{   (\sqrt{3})^{2}  -  {(1)}^{2} }

\sf   =  \dfrac{3 + 1 + 2 \sqrt{3} }{  3 - 1}

\sf   =  \dfrac{4+ 2 \sqrt{3} }{ 2}  =  \dfrac{2(2 +  \sqrt{3}) }{2}

\sf   =  2 +  \sqrt{3}

\dashrightarrow\underline{\boxed{\bf tan75^{\circ}=  2 +  \sqrt{3} }}

____________________________

The value of cot75°

= cot(45° + 30°)

It is in the form → cot(A + B)

• A = 45°

• B = 30°

\boxed{  \leadsto\sf cot(A + B) =  \dfrac{cotA.cotB - 1}{ cotA + cotB} }

\sf   =  \dfrac{cot45\times cot30 - 1 }{ cot45 + cot30}

\sf   =  \dfrac{ 1. \sqrt{3} - 1}{1 + \sqrt{3}} =  \dfrac{ \sqrt{3} - 1 }{ \sqrt{3} + 1 }

By rationalising the denominator:-

\sf   =  \dfrac{ \sqrt{3}  - 1}{   \sqrt{3} + 1} \times   \dfrac{ \sqrt{3} - 1 }{ \sqrt{3} - 1 }

\sf   =  \dfrac{ (\sqrt{3}-1)^{2} }{   (\sqrt{3})^{2}  -  {(1)}^{2} }

\sf   =  \dfrac{3 + 1 - 2 \sqrt{3} }{  3 - 1}

\sf   =  \dfrac{4- 2 \sqrt{3} }{ 2}  =  \dfrac{2(2 - \sqrt{3}) }{2}

\sf   =  2 -  \sqrt{3}

\dashrightarrow\underline{\boxed{\bf cot75^{\circ}=  2 -  \sqrt{3}}}

14.

X^2+2√2x-6=0 plzz solve with quadratic formula method..​

Answer» ONG>Answer:

x²+2√2x-6=0

-2√2+or-√(2√2)²-4(1)(-6)/2

-2√2+or-√8+24/2

-2√2+or-√32/2

-2√2+or-4√2/2

-2√2+or-2√2

Hence,x=0 or x= -4√2

15.

Which are the 3 numbers that lie between 2/8 and 5/8​

Answer» ONG>Step-by-step EXPLANATION:

it is correct answer

100percent correct

mark me brainliest LIKE and RATE 5star

16.

Wherearechromosomeslocated?Whataretheycomposedof?Whatischromatin materialandhowdoesitchangejustbeforethecelldivides?​

Answer»

ong>ANSWER:

bxxxnx no enzxos xjsnxdos COS xjsnz de dos xoe xjensxis xoen SD. de XP

17.

Q4. The volume of a cylinder is ________ times of the volume of a cone having the same base and the same height. 2345​

Answer» ONG>Answer:

4

Step-by-step explanation:

2IIR IS OBFUVFI UGJCficjt idbicvrucu

18.

4) Find d(A,B), if the coordinate of A and B are -2 and 5 respectively​

Answer»

ong>Step-by-step EXPLANATION:

as COORDINATE of A is -2 and coordinate of B is 5 d(-2,5) and just PLOT it on the GRAPH

19.

What should be added to twice the rational number 7/3 to get 3 /7​

Answer»

ong>Answer:

SUPPOSE x be the rational NUMBER which is to be add.

According to the GIVEN condition,

2×3−7+x=73⟹3−14+x=73⟹x=73+314[Transposing3−14toRHS]⟹x=213×3+14×7=219+98⟹x=21107

hope it helps..

20.

3] Write the tables of 6,7, and find their LCM.​

Answer»

ong>Answer:

The multiples of 6 are …, 36, 42, 48, … The common multiples of 7 and 6 are N x 42, intersecting the two sets above, n ϵ Z . In the intersection multiples of 7 ∩ multiples of 6 the LEAST positive element is 42. THEREFORE, the least common multiple of 7 and 6 is 42.

21.

Find the product of (5-3m)(5-3m)​

Answer» ONG>Answer:

25 m..

Step-by-step explanation:

25 - 15M × 15m - 9M

214m - 25

22.

B] Solve the followings sub questionsi) Find the value. | 15 - 211​

Answer»

ong>Answer:

-196

Step-by-step explanation:

This is very easy,

By CONCLUDING GIVEN data

-211

15

____

-196

____

23.

Write decimal form of 22/99please explain in detail​

Answer» ONG>ANSWER:

answer is 0.22222222222

Step-by-step EXPLANATION:

AS WE DIVIDE 22/99

THE ANSWER WILL BE IN POINT

0.22222222222

24.

Vi. If n(A) = 2, P(A) = 1/5 , thenn(S) = .....​

Answer» ONG>Step-by-step EXPLANATION:

p(A)=N(A)/n(S)

1/5=2/n(S)

n(S)=2×5

n(S)=10

25.

(m4-2m²+6m-3)x(7m²-1)​

Answer»

2m2+6m-3)

m6=4+2-6+3

m6=9

26.

Three fourth of t is 25​

Answer» ONG>ANSWER:

3/4×t =25 is the answer

HOPE it helped ....

27.

Check whether root2 and 2 are zero of the polynomial f of x​

Answer»

ong>Answer:

2 and 2 are ZERO of the polynomical F (x) =X4 -16

28.

If the radius of a cylinder is 4 cm and height is 14cm , then the volume of cylinder is ​

Answer» STION:-

if the RADIUS of a CYLINDER is 4 CM and height is 14cm , then the volume of cylinder is _______.

ANSWER:-

  • The volume is cylinder is 703.36 cm³.

Given :-

  • Radius = 4 cm
  • Height = 14 cm

To find:-

  • Volume of cylinder

Solution:-

  • The value of \piis 3.14

\boxed{ \large{volume \: of \: cylinder = \pi {r}^{2} h}}

\implies \: volume \:  = 3.14 \times  {4}^{2}  \times 14 \\  \\ \implies \: volume =  \: 3.14 \times 16 \times 14 \\  \\ \implies \: volume \:  = 703.36 {cm}^{3}

Hence,

The volume is cylinder is 703.36 cm³.

29.

Point (-15, 0) lies​

Answer» ELLO ☺☺..

━━━━━━━━━━━━━━━━━━━━━━━━━━━━

UR ANSWER :

ᴘᴏɪɴᴛ (-15, 0) ʟɪᴇs ᴏɴ ᴛʜᴇ ɴᴇɢᴀᴛɪᴠᴇ X - ᴀxɪs..

━━━━━━━━━━━━━━━━━━

30.

12 Q120 A train 150 metre long crosses a tree in 6 seconds3: What is the speed of the train in km/hr.1​

Answer»

ong>ANSWER:

SPEED = 150 meter in 6 sec

speed = 150/ 1000 x 3600/6= 15x6= 90 KmpH

31.

Can you solve thisplz solve fast​

Answer»

ong>ANSWER:

Heyy....!!

The answer of your QUESTION is being attached in the above IMAGE.... go through it.

32.

Subtract the sum of 3 x minus 4 y + z and 1 - 2 x + y from the sum of 3 y + z + 6 and x - 2y + 3​

Answer»

\huge\tt{\bold{\underline{\underline{Question᎓}}}}

subtract the sum of 3 X minus 4 y + z and 1 - 2 x + y from the sum of 3 y + z + 6 and x - 2y + 3

\huge\tt{\bold{\underline{\underline{Answer᎓}}}}

┏━━━━━━━━━━━━━━━━━━━━━━━┓

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ✍️

=  > 3x - 4y + z + 1 - 2x + y

= 3x - 2x - 4y + y + z + 1

\bold{= x  - 3y + z + 1.......(1)}

=  > 3y + z + 6 + x - 2y + 3

= x + 3y - 2y + z + 9

\bold{= x + y + z + 9.......(2)}

Now,subtracting equation (1) from equation (2)

=  > x + y + z + 9 - (x - 3y + z + 1)

= x + y + z + 9 - x + 3y - z - 1

=>Here,when we open BRACKET -x and -z will come which will being cancelled by EXISTING +ve x and z.

\bold{=  > 4y + 8 = }{\bold{\red{4(y + 2)}}}

┗━━━━━━━━━━━━━━━━━━━━━━━┛

33.

Find product : (2n+1) and (3-y)​

Answer»

ong>Step-by-step explanation:

=2N(3-y) +1(3-y)

=6n-2ny+3-y

=2n(3-y) +3-y is the. answer not SURE please recheck it.......

34.

Find the sum of 2xsq +4ysq+6,-3ysq-xsq-6 and 4+ysq-2xsq​

Answer» ER:

Step-by-step EXPLANATION:

MARK my ANSWER BRAINIEST

35.

5. Convert the following equations in statement form: (a) 5x = 20 (b) 3y + 7 = 1

Answer»

ong>(a) 5 TIMES X is 20

(b) 7 is added to 3 times y gives 1

pls mark me brainliest and follow me

36.

Tan45-tan30/1+tan45tan30.

Answer» ONG>ANSWER:

Tan45-tan30/1+tan45tan30

Step-by-step explanation:

12/23774*57 %75%7557+79

CORRECT answer hai ki nahi bhi

37.

The measure of each side of an equilateral Triangle whose area is root 3 cm²​

Answer»

ong>GIVEN :-

TO FIND :-

  • The each side of an equilateral ∆.

SOLUTION :-

As we KNOW that the area of an equilateral triangle is given by,

\\  :  \implies \displaystyle \sf \: Area_{(equilateral  \: \triangle )} =  \frac{ \sqrt{3} }{4}  \times (side) ^{2}  \\  \\  \\

:  \implies \displaystyle \sf \:  \sqrt{3}  =  \frac{ \sqrt{3} }{4}  \times (side) ^{2}  \\  \\  \\

:  \implies \displaystyle \sf \:4 \times  \sqrt{3}  =  \sqrt{3}  \times (side) ^{2}  \\  \\  \\

:  \implies \displaystyle \sf \:4 \sqrt{3}  =\sqrt{3}  \times (side) ^{2}  \\  \\  \\

:  \implies \displaystyle \sf \:(side) ^{2}  =  \frac{4 \sqrt{3} }{ \sqrt{3} }  \\  \\  \\

:  \implies \displaystyle \sf \:(side) ^{2}  = 4 \\  \\  \\

:  \implies \displaystyle \sf \:side =  \sqrt{4}  \\  \\  \\

:  \implies  \underline{ \boxed{\displaystyle \sf \bold{ \:side = 2 \: cm}}}

38.

Express logx -2 logx +3 log (x+1) - log (x^2 -1) as a single equation​

Answer» ONG>Answer:

HARRY Potter and the Two girl yoga PANTS and shirt and

39.

Multiply the following polynomial(m⁴- 2m² + 6m - 3) (7m 3-1)​

Answer» ONG>Answer:

7m^5+2m^-14m³+46m²-3m-6

40.

Is 1 a divisor of all numbers?​

Answer» ONG>ANSWER:

YES brooo...........

41.

In a certain code "SARITA" is written as '49' then how will "SQUARE" be written in that code?..​

Answer» ONG>Answer:

680 OK TH.............

Step-by-step EXPLANATION:

Sarits =67890

42.

Write the three version of work formula​

Answer»

ong>ANSWER:

Work is DONE when a force that is applied to

an OBJECT moves that object. The work is calculated by MULTIPLYING the force by the

amount of movement of an object (W = F * d). A force of 10 newtons, that moves an object 3 meters, does 30 n-m of work.

43.

Find second and third term of an A.P whose first term is -2 and common difference is -2​

Answer»

ong>ANSWER:

SECOND term= -4 ; THIRD term= -6

44.

आजी म्हणजे घराचा आधार हे विधान सोडून स्वमत ते तर सांग​

Answer» ONG>ANSWER:

आजी म्हणजे वडिलांची आई.तसेच आपण आईच्या आईला पण आजी म्हणतो.आजी हि घरातील अशी व्यक्ती असते जी आपल्या नातवंडांवर खूप प्रेम करते. तिला तिची नातवंड खूप जवळची असतात. घरातल्या प्रत्येक व्यक्तिशी तिच नातं जोडलेल असत. सगळ्याचा विचार करणारी आजी असते. पण आजीच ते नांत दिसून येत नाही, कारण आजी वृद्ध झाल्यावर तिला वृद्ध आश्रमात ठेवलं जात.लहान मुलांची काळजी घेताना, घरातले काम करताना त्याना आजीची आठवण येते.

45.

find the sum of the greatest and the least numbers that can be formed by using digits 3,7,9,5,2,0 and 1 only once​

Answer»

ong>Answer:

998899

Step-by-step EXPLANATION:

biggest NUMBER: 975320

smallest number: 023579

do 975320+ 023579

mark me as brainlist

46.

If U =2,3,5,7,9 ,A=3,5,then find A =?​

Answer»

ong>Answer:

A' = 2,7,9

Compliment of a SET A contains the ELEMENTS that are not in set A

47.

The standard form of 100 is

Answer» ONG>Answer:

1 X 10^2

PLS MARK AS BRAINLIEST

48.

Draw the graph of the quadratic polynomial -x² + 3x - 2​

Answer» ONG>ANSWER:

[email PROTECTED]

49.

If a is an integer then ax(-1) is​

Answer» ONG>Answer:

The RESULT should also be an integer, if x is not any irrational fraction. The answer should be x(-a).

50.

12 by 18 and 6 by? ​

Answer» ONG>Answer:

9

MARK it as BRILLIANT