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.

8. Find the value of each of the following polynomialsat the indicated values of variables :4(i) p(x) = 5x2 -1 - 12' 25(ii) p(x) = 3x3 + 2x - 3x2 + 4; x = 1/2,-1/2(iii) p(y) = 5y2 + 4; y =-2/ √5 ,4√5+(iv) p(y) = 2y2 + 3π2; y = π, -2π​

Answer»

Answer:

Step-by-step explanation:

1) p(1)= 5×2-3×1+7

= 10-3+7

=14  

Verify whether the values of X GIVEN in each case are the zeros of the polynomial or not.

1 P(x)=2x+1;x=-1/2

P(-1/2) = 2(-1/2) + 1 = -1 + 1 = 0   = 0

2) p(x)=5x-π;x=-3/2

P(-3/2) = 5(-3/2) - π = -15/2 - π  ≠ 0

3) p(x)=x²-1;x=+1

P(1) = 1² - 1 = 1 - 1  = 0  = 0

4) p(x)=(x-1)(x+2);x=-1,-2

P(-1) = (-1-1)(-1 + 2) = (-2)(1) = - 1 ≠ 0

P(-2) = (-2 -1)(-2 + 2) = (-3)(0) = 0 = 0

5) P(y)=y²;y=0

P(0) = 0² = 0 = 0

6) p(x)=ax+B;x=-b/a​

P(-b/a) = a(-b/a) + b = -b + b = 0 = 0

p(2)= 3×2×3-4×2+11

= 18-8+11

=21

in equation THIRD where is t

2.

Please help me out here

Answer»

Answer:

007

Step-by-step EXPLANATION:

PLAY PUBG you will UNDERSTAND

3.

Find(1) sin 15 (2) tan 105​

Answer»

Step-by-step EXPLANATION:

PLEASE MARK me as BRANLIEST

4.

Which one of the following is not a quadratic equation?​

Answer»

ANSWER:

GH GH GH GH GH

Step-by-step EXPLANATION:

YUP I will be there at all ❤️

5.

B2z,F4D,———,T12RA)L7JB)L6KC)k7JD)L6J

Answer»

B2z,F4D,———,T12R

Step-by-step explanation:

The ANSWER is L6J.

  • B comes after z and A, thus there is difference of a between Z and B
  • In second there is difference between D and F is E.
  • There is only L and J where is the difference of K between L and J.
  • CONTINUE sly there is differences GOING on in numbers such as 2, 4, then 6 should comes.
  • Thus here L6J is the right answer for it.

Learn More: Series

brainly.in/question/18670656

6.

Perform the following calculation. 1. 11101 +1011

Answer»

the SUM is 12,112

HOPE you UNDERSTAND

7.

Co-ordinates of A and B are ( 1, 2) and (2,3). if p lies on AB then findtheco-ordinates of P such thatAP/PBPB = 4/3​

Answer»

Step-by-step EXPLANATION:

COULD you CAPTURE and KEEP the QUESTION again

8.

A grandfather is ten times older than his grand daughter. he is also 54 years older than her. find their present ages

Answer»

ANSWER:

let the GRAND daughter age be=x

and the GRANDFATHER age =10x

x+54=10x

54=10x-x

54=9x

54/9 =x

6=x

The grand daughter is x =6 YEARS old

And the grandfather is = 10x =10×6=60

HOPE THE ANSWER HELPS YOU

CAN YOU MARK ME AS BRAINLIEST

9.

Find the value of (a) if (x+a)is a factor of x cube + ax square - 2x +a+4​

Answer»

Answer:

a = 0

Step-by-step EXPLANATION:

p(x) = x^3 +ax^2 + 2x + a + 4

If (x+a) is a FACTOR of p(x), then P(-a) = 0

P(-a) = (-a)^3 + a*(-a)^2 + 2*(-a) + a + 4 = 0

-a - a^3 - 2a + a + 4 = 0

a^3 -2a +3 = 0

a = 0

10.

Rohit bought a motorcycle for rupees 36000. He paid 1/6 of the price in cash and the rest in installments. Find the amount paid every month​

Answer»

Step-by-step EXPLANATION:

◦•●◉✿Money PAID in cash✿◉●•◦

= / *

= ₹6000

= 5/6

5/6*30000

=25000

11.

Divide 51.03 by 2.1 full explanation please​

Answer»

Step-by-step explanation:

51.03 by 2.1

= 24.3

ur ANSWER:)

12.

7. Simplify: underroot45-3underoot 20 + 4 underroot 5​

Answer»

Answer:

10h ueueeje

Step-by-step explanation:

5 YES I nsjsjsj

13.

Express x in terms of y and z.​

Answer»

Step-by-step EXPLANATION:

PLZ MAKE me as BRAINLIEST

14.

1.11Find the perimeter of the gives3701--8m8 m​

Answer»

ANSWER:

CLEAR your QUESTION

PLEASE FOLLOW

15.

What is the formula for a^m - a^n?

Answer»

{a}^{m}  -  {a}^{n}  =   {a}^{mn}

16.

Convert (11101)2 into decimal numerals

Answer»

ANSWER:

Convert (11101into DECIMAL numerals is

Step-by-step explanation:

29

Hope this HELPS

FOLLOW me n Mark as the brainliest

17.

Answer with explained answer​

Answer»

Step-by-step explanation:

8^2/3*1/3

8^2/9 is the ANSWER.

18.

I need 21 and 22 question answer

Answer»

ANSWER:

SEE the FOLLOWING PIC.....

19.

Given sec =3/4,calculate cos a and tan a​

Answer»

Step-by-step EXPLANATION:

question is wrong as sec = h/b , accordingly your questions HYPOTENUSE will be less than other SIDE which is not POSSIBLE

20.

Amount=6000, r=?, time= 2 years. Cl=600

Answer»

ANSWER:

hope it helps you mate.

PLEASE thank and MARK my answer as brainliest.

@ ANUSHA

21.

Find the sum of all natural number between lying between 100 and 700 which are divisible by 2 and 3​

Answer»

✨✨Answer is here✨✨

➡️✨✨see this PIC...✨✨

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22.

Formula of (a)^2 (b)^2​

Answer»

ANSWER:

bbabba me KNOW if you

Step-by-step EXPLANATION:

GTG to BED now but

23.

Rationalizing the denominated of7+3root5/7-3root​

Answer»

Answer:

(47-21√5)/2

Step-by-step explanation:

multiply numerator and DENOMINATOR by denominator and expand, we GET

=(49+45-42√5)/4

=(94-42√5)/4

=(47-21√5)/2

PLEASE RATE, THANK AND MARK AS BRAINLIEST.

24.

Write 6i^5+ 7i^4 + 3i^3 + 5i^2-4 in the form of a +ib and find its square root.​

Answer»

ANSWER:-

\sf{Hence, \ the \ square \ root \ of }

\sf{6i^{5}+7i^{4}+3i^{3}+5i^{2}-4 \ is }

\sf{\sqrt3+\frac{\sqrt3}{2}i \ or \ -3-\frac{\sqrt3}{2}i}

GIVEN:

\sf{\implies{6i^{5}+7i^{4}+3i^{3}+5i^{2}-4}}

Solution:

\sf{\implies{6i^{5}+7i^{4}+3i^{3}+5i^{2}-4}}

\sf{\implies{6(i^{4}.i)+7i^{4}+3i^{3}+5i^{2}-4}}

\sf\blue{\because{i^{2}=-1, \ i^{3}=-i \ and \ i^{4}=1}}

\sf{\implies{6i+7-3i-5-4}}

\sf{\implies{-2+3i}}

\sf{Let \ \sqrt{-2+3i}=a+bi, \ where \ a \ and \ b \ \in \ R}

\sf{Squaring \ both \ sides, \ we \ get}

\sf{-2+3i=(a+bi)^{2}}

\sf{\therefore{-2+3i=a^{2}+b^{2}i^{2}+2abi}}

\sf{\therefore{-2+3i=(a^{2}-b^{2})+2abi...[\because{i^{2}=-1}]}}

\sf{Equating \ real \ and \ imaginary \ parts,}

\sf{we \ get}

\sf{a^{2}-b^{2}=-2 \ and \ 2ab=3}

\sf{\therefore{a^{2}-b^{2}=-2 \ and \ b=\frac{3}{2a}}}

\sf{\therefore{a^{2}-(\frac{3}{2a})^{2}=-2}}

\sf{\therefore{a^{2}-\frac{9}{4a^{2}}=-2}}

\sf{\therefore{\frac{4a^{4}-9}{4a^{2}}=-2}}

\sf{\therefore{4a^{4}-9=8a^{2}}}

\sf{\therefore{4a^{2}-8a^{2}-9=0}}

\sf{\therefore{4a^{2}-12a^{2}+3a^{2}-9=0}}

\sf{\therefore{4a^{2}(a^{2}-3)+3(a^{2}-3)=0}}

\sf{\therefore{(a^{2}-3)(4a^{2}+3)=0}}

\sf{\therefore{a^{2}=3 \ or \ a^{2}=\frac{-3}{4}}}

\sf{But, \ a \ \in \ R}

\sf{\therefore{a^{2}\ \neq \ \frac{-3}{4}}}

\sf{\therefore{a^{2}=3}}

\sf{On \ taking \ square \ root \ of \ both \ sides}

\sf{a=\pm\sqrt3}

\sf{When \ a=\sqrt3, \ b=\frac{3}{(2)(\sqrt3)}}

\sf{\therefore{b=\frac{\sqrt3}{2}}}

\sf{When \ a=-\sqrt3, \ b=\frac{3}{(2)(-\sqrt3)}}

\sf{\therefore{b=\frac{-\sqrt3}{2}}}

\sf{\therefore{a+bi=\pm(\sqrt3+\frac{\sqrt3}{2}i)}}

\sf{\therefore{\sqrt{-2+3i}=\pm(\sqrt3+\frac{\sqrt3}{2}i)}}

\sf\purple{\tt{\therefore{Hence, \ the \ square \ root \ of }}}

\sf\purple{\tt{6i^{5}+7i^{4}+3i^{3}+5i^{2}-4 \ is }}

\sf\purple{\tt{\sqrt3+\frac{\sqrt3}{2}i \ or \ -3-\frac{\sqrt3}{2}i}}

25.

State whether the following statements are true or false. Give reasons for your answers.(i) Every natural number is a whole number.(ii) Every integer is a whole number.(ui) Every rational number is a whole number.​

Answer»

Answer:

1. TRUE

2. False

3. True

HOPE this will HELP you

26.

Some isocles triangles are drawn below, in each one angle is given, find out the other angles

Answer»

Answer:

where are the figures of ISOSCELES TRIANGLE please SEND them too

27.

a boat takes 3 hours 36 min more to travel 20 km upstream than 14 km downstream,if the Speed of the boat is 20 km per hour,find speed of steam​

Answer»

✨✨Answer is here✨✨

➡️✨✨see this PIC...✨✨

✔️✔️

28.

4.02 into 10 to the power 5 write in usual form​

Answer»

Step-by-step explanation:

10⁵=1,000,000

4.02×1,000,000=4,020,000

29.

3. Find six rational numbers between -1/4 and 1/4​

Answer»

ANSWER:

-1/3,-1/2,-1/1,1/1,1/2,1/3,1/4

30.

Find the value of (a) if (x+a)is a factor of x cube + ax square - 2x +a+4This is polynomial lesson in class 9th If you give me answer in detail, I will mark you as brainliest and follow you ​

Answer»

ANSWER:

this is the CORRECT answer PLZ MARK me as BRAINLIEST

31.

Evaluate by the method of bodmas:196÷[(-8) +(-6)] × (-2)​

Answer»

Answer

196÷[(-8)+(-6)]×(-2)

=196÷[(-8)-6]×(-2)

=196÷[-14]×(-2)

=-14×(-2)

=28

32.

Mona walk 7 km to the north from a restaurant to reach a petrol pump from the petrol bunk he went 5 km to the south it to the next petrol bomb what is the distance between the restaurant and the second petrol bunk

Answer»

Answer:

2m

Step-by-step EXPLANATION:

because when she

comes 7M to North

and then she WENT

to South 5m.

So, 7m-5m=2m

33.

What must be added to 5433 to get 6463

Answer»

Answer:

1030

Step-by-step explanation:

1030 should be ADDED to 5433 to GET 6463.

PLEASE MARK as BRAINLIEST

34.

COMPARING INTERNATIONAL SYSTEM OF NUMERATION

Answer»

Step-by-step explanation:

As PER the International numeration system, the first comma is placed after the hundreds place. Commas are then placed after every three DIGITS. The values of the PLACES in the International system of numeration are Ones, TENS, Hundreds, THOUSANDS, Ten Thousands, Hundred Thousands, Millions, Ten millions and so on.

Thank you

35.

Side of an equileteral triangle 2√3 . Find its height *

Answer»

✨✨Answer is here✨✨

➡️✨✨see this PIC...✨✨

✔️✔️

36.

Which of the following is not a quadratic equation * 1 point 2(x – 1)² = 4x² – 2x + 1 2x – x² = x² + 5 (√2x + √3 )² + x² = 3x² – 5x (x² + 2x)² = x⁴+ 3 + 4x³

Answer»

Step-by-step EXPLANATION:

LAST TWO terms are not a quadratic equations

37.

Write 74624805, separating periods

Answer»

Step-by-step explanation:

74624805, SEPARATING PERIODS = 7,46,24,805

38.

What happened to the pressure when the area on which it apply is increases

Answer»

ANSWER:

decreases

Step-by-step EXPLANATION:

39.

If the sum of two numbers is 20 and the sum of their reciprocals is 5 upon 16 then the two numbers are

Answer»

Step-by-step explanation:

let the two numbers be X and y

x + y = 20

thesum of RECIPROCAL be

\frac{1}{x}  +  \frac{1}{y}  =  \frac{5}{16}

solving equ 2

\frac{x + y}{xy}  =  \frac{5}{16}

PUT 20 in PLACE of x+y

40.

(2 upon 3)^-1 ×(2 upon 5)^-2 ÷5 upon 8

Answer»

Answer:

6

Step-by-step EXPLANATION:

(2/3)^-1×(2/5)^-2÷5/8

=3/2×5/2×8/5

=15/4×8/5

=3×2

=6

Hope it's HELP you..........

41.

Fifty seven thousand is halfway between fifty five thousand five hundred and fifty eightthousand five hundred​

Answer»

ANSWER:

YA so what's your Question

Step-by-step EXPLANATION:

PLEASE FRAME your question correctly

42.

Find the largest number that devides 327 and 437 leaving remainder 3 and 5 respectively

Answer»

ANSWER:

HI MATE ..............

43.

0.7071067812 is the square root of which number

Answer»

Answer:

0.5

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FOLLOW= follow BACK

44.

What should be added to − 6/5 to get 5/12 ?

Answer»

Answer:

97/60

Step-by-step EXPLANATION:

-6/5 + X =5/12;

X = 5/12 + 6/5;

X =(25+72)/60;

X = 97/60

45.

If = 2 − 1 and = is a solution of the equation3 − 5 − 7 = 0, find the value of .

Answer»

Answer:

m l v b MV xlgdifsvxb cvjc nl J G?JC m

46.

If C = {a, b, x, y} and D = {m, n, o, p} then C Union D is?

Answer»

ANSWER:

C Union D = { a, B, x, y, m, n, o, p}

47.

Quotient of z by 4 is multiplied by thrice the number y

Answer»

HOPE this ANSWER HELPS you

follow me

Mark me as BRAINLIST

48.

Divide 51.03 by 2.1​

Answer»

ANSWER:

24.3 is RIGHT answer of this QUESTION

49.

Sqrt(7)times(7)sqrthow to sole this

Answer»

Answer:

479999bjmlllhgdduioo478

50.

Tant (tan)​

Answer»

ANSWER:

\pi \div 4 \\  = 180 \div 4 \\  = 45