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.

If alpha and beta are the zeroes of the polynomial 2x²-4x+5,then find the value of alphaand beta whole square

Answer»

Correct question: If α and β are the zeroes of the polynomial 2x² - 4x + 5, then FIND the value of (α + β)².

Answer:

(α + β)² = 4

Step-by-step EXPLANATION:

Given polynomial ;

2x² - 4x + 5, on comparing the given equation with ax² + bx + c,

  • a = 2
  • b = (-4)
  • c = 5

We know that ;

SUM of zeroes =\bf - \dfrac{b}{a}

⇒ α + β = -(-4)/2

⇒ α + β = 4/2

⇒ α + β = 2

Product of zeroes = \bf \dfrac{c}{a}

⇒ αβ = 5/2

Now,

( \alpha  +  \beta ) {}^{2}   \\  \\ \implies (2) {}^{2}  \\  \\\implies 4

HENCE, the answer is 4.

_______________________

\large{\underline{\underline{\mathfrak{\heartsuit \: Extra \: Information: \: \heartsuit}}}}

For a quadratic polynomial, ax² + bx + c the zeroes are α and β, where ;

  • α + β = \sf - \dfrac{b}{a}
  • αβ = \sf \dfrac{c}{a}
2.

(4√3 + 3√2) (√48-√12​

Answer»

ANSWER:

48 -8√3 +6√6

Step-by-step EXPLANATION:

....

.

.

...

3.

Who is fourth to the right of m​

Answer»

ANSWER:

●●●●sorry but i didn't UNDERSTAND the QUESTION ●●●●

4.

An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 200 times the undergraduate grade point average is at least 1250 Robbin's GMAT score was 750. What must her grade point average be in order to be unconditionally accepted into the program?

Answer»

⤵⤵⤵⤵

FOLLOW , BRAINLIST ME☺☺PLZZ

===========

Robbin's acceptance points MUST at LEAST be = 1250

She scored in GMAT=750

Thus, 200 time of her undergraduate grade point average must be = 1250-750=500

Hence her undergraduate grade point average must be = 500/200=2.5

5.

Q-18 Plz do fast . ​

Answer»

ANSWER:

x= 3

Step-by-step EXPLANATION:

HOPE it's HELPFUL.......

6.

Find the four solutions of x/2+y/3=2

Answer»

Answer:

Here is ur answer buddy

In order to check whether your VALUES are correct or not you have to draw the COORDINATES in a CARTESIAN plane.

You will observe that all the POINTS COME in a straight line and if not then you will know that ur answer is completely wrong.

I had done roughly you can do it properly.

Hope it helps

7.

Which will be better biology or maths.​

Answer»

BIOLOGY is gudd because it is EASY and have MANY SCOPE

8.

An aeroplane at an altitude of 1800 m finds that two boats are sailing towards it inthe same direction. The angles of depression of the boats as observed from theaeroplane are 60° and 30° respectively. Find the distance between the two boats.(V3 = 1.732​

Answer»

Step-by-step EXPLANATION:

Look the SOLUTION in the given image .

HOPE it will be ABLE to make it understand.

9.

Root 2 , 3 , 5 , 7 not diract answer .show it ​

Answer»

√2 √3 √5 √7 is the ANSWER

10.

If a line segment joining the points P and Q (3, 4) is bisected at origin, then thecoordinates of P are :(1) (4, -3)(2) (2.4)(3) (-34)(4) (4, 3)​

Answer»

ANSWER:

answer is a

MARK me BRAINLIST

11.

A. 'A' completed a job in 3/5 hour, where 'B' completed the same job in 7/10 hour. Who workedlonger? By what fraction was is longer?​

Answer»

TIME TAKEN by A=3/5=0.6

time taken by B=7/10=0.7

thus, B had taken LONGER time.

it was longer by =7/10-3/5

=(7-6) /10

=1/10

hope that was helpful

12.

Find the HCF and LCM of the numbers 3,4 and 5. Also find the product of the HCF and LCM.Check whether the product of HCF and LCM is equal to the product of the three numbers.​

Answer»

ANSWER:

HCF=1 and LCM=3×4×5=60

The of HCF and LCM is 1×60=60

13.

9. In an examination, Preeti scored 60 out of 75 in Science, 84 out of 100 in Mathematics, 36 out of50 in Hindi and 30 out of 45 in English.(i) In which subject her performance is worst?(ii) In which subject her performance is the best?(ii) What is her aggregate percentage of marks?​

Answer»

Answer:

1. in hindi

2. in science

3.

14.

Solve long division methodX³+8x²-9x+30

Answer»

Step-by-step explanation:

The first term is,  x^2  its coefficient is  1 .

The middle term is,  +9X  its coefficient is  9 .

The last term, "the CONSTANT", is  +18 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 18 = 18 

Step-2 : Find two factors of  18  whose sum equals the coefficient of the middle term, which is   9 .

3   +   6   =   9   That's it

Step-3 : Rewrite the polynomial SPLITTING the middle term using the two factors found in step 2 above,  3  and  6 

                     x2 + 3x + 6x + 18

Step-4 : Add up the first 2 terms, PULLING out like factors :

                    x • (x+3)

              Add up the last 2 terms, pulling out common factors :

                    6 • (x+3)

Step-5 : Add up the four terms of step 4 :

                    (x+6)  •  (x+3)

             Which is the desired factorization.

X³+8x²-9x+30= (x-1)(x+6)(x+3)

x= 1 or x= -6 x= -3

15.

(a+b)²+(a-b)²simplify ​

Answer»

ANSWER:

Step-by-step EXPLANATION:a SQUARE + B square + 2AB + a square + b square - 2ab

16.

Express the linear equations 2x - 5 is equal to zero in the form a x + B Y + C is equal to zero and also indicates the value of a b and c

Answer»

ANSWER:

MARK me as BRAINLIST PLZZZZZZZZZ

17.

Pls answer my question fast​

Answer»

Now PUT the IDENTITY of (x+y ) WHOLE CUBE. ......

18.

Find the smallest number that must be added to 201.924 to make a perfect a square​

Answer»

ANSWER:

ADDED to 201.924 to MAKE a PREFECT a SQUARE is 301.924

19.

1+5(7+3x) = 12x+5 solve it

Answer»

ANSWER:

HEYA MATE

Step-by-step explanation:

1+5(7+3x)=12x+5

1+35+15x=12x+5

36+15x=12x+5

36-5=12x-15x

31=-3x

31/-3=x

hope it HELPS you

20.

Indicate that the cube of a positive fuller is of 4m or 4m + 1 or 4m + 3 for any whole m. | [NCERT EXEMPLAR​

Answer»

ANSWER:

Step-by-step explanation:

a= b+qr. let R = 1,2,3,4. Put r = 0

a =4m. Put r = 1. a= 4m +1. Put r =2. a= 4m+2. Put r = 3 a=4m+3.

a = 4m+2 is neglected. The value of a is 4m , 4m+1and 4m+3.

21.

17.कोई धनराशि साधारण ब्याज की दर से 4 वर्ष मेंबढ़कर 758 व 6 वर्ष में बढ़कर ३ 875 हो जातीहैं धनराशि ज्ञात कीजिए-​

Answer»

LET the principle be X Rs rate be y% per ANUM.

Therefore, Interest in 4 YEARS = x * y*4/100

=4xy/100

Amount in 4 years =X + 4xy/100

Interest in 6 years = x *y*6/100

=6xy/100

Amount in 6 years = x + 6xy/100

Now we can SAY,

6xy/100 -4xy/100 = 875- 758

:. 2xy/100 =117

:. Xy=117*50

:. xy =5850

Now,

Interest in 4 years =5850*4/100

=234

Since, Amount in 4 years was 758

:. Principle = 758-234

= 524 Rs.

22.

What is the meaning of °applicable​

Answer»

ANSWER:

APPLICABLE MEANS suitable

Step-by-step EXPLANATION:

23.

A bag contain 3 red balls and 5 black balls. A ball is drawn at random from bag. What is the probability that the ball drawn is.a Red?b Not Red?​

Answer»

Answer:

A bag contain 3 RED balls and 5 BLACK balls. A ball is drawn at RANDOM from bag. What is the PROBABILITY that the ball drawn is.

a Red?

b Not Red

SOLUTION:

(a)Red=3/8

(b) not red = 5/8

hope it HELPS!!

______________________________

24.

How to solve (-36)-(64)​

Answer»

Step-by-step EXPLANATION:

SIMPLY BREAK the BRACKET,

-36-64 = -100

25.

Find out any questions you know

Answer»

Step-by-step EXPLANATION:

i am sorry

ask me from CH 1 i WILLL TELL

26.

X+2(2x+3)-1 = 1/2(4x-28)

Answer»

Hii its tom85

=x+4x+6 = 2X - 14

=3x = -20

=x=-20/3

~~~~~~~~~~````☺️

____/\/\_____/\/\__>

hope it MAY helps you DUDE

27.

Multiply 26244 by a smallest number, so that theproduct is a perfect cube. What is that number? Also,find the cube root of the product.​

Answer»

Step-by-step EXPLANATION:

i HOPE it's HELP you!!!

THANK you!!!

28.

X-6(x+5) = 2x+4(x-20)

Answer»

ANSWER:

x - 6x - 30 = 2X + 4x - 80

-5x - 30 = 6x - 80

11x = 50

x = 50/11

hope it helps

29.

12. Find the smallest number which when multiplied by137592 will make the product a perfect cube. Find thecube root of the product.​

Answer»

Answer:

2is the SMALLEST NUMBER which MULTIPLE by 137592

30.

Form a pair of simultaneous equations for each of these solutions. a=2 b=1​

Answer»

ANSWER:

MARK me a BRAINLIST plzz

Step-by-step EXPLANATION:

a+b=3

a-b=1

31.

They are equation for add and subtract 3x+2y=0,2x+y=1​

Answer»

Answer:

i hv answered WHOLE

PLZ MARK me as a brainlist

32.

1+5(x-5) = 2x+4(x-20)

Answer»

Hola MATE...

Please REFER to ATTACHMENT for ANSWER. If u have any futher doubt, u can comment.

Pls mark brainlist.

#gargi65

33.

If 1a2b5 is exactly divisible by 9 then the least value of a + b is​

Answer»

ANSWER:

a+ b= 1

Step-by-step EXPLANATION:

mark me a BRAINLIST PLZZZZZ

34.

Solve this question class 12​

Answer»

GIVEN : f(x) = 5x-3  

To Find : check function is continuous at x = 0 , x = -3 , x = 5

Solution:

f(x)  is continuous at  x =  a  

if  

LIM (x → a)  f(x)  = f(a)

f(x) = 5x-3

Lim (x → c)  f(x)  = 5c - 3

f(c) = 5c - 3

LHS = RHS

f(x) = 5x - 3   is continuous    x ∈ R  

Check at x = 0 , x = - 3 , x  = 5

Lim (x → 0)  f(x)  = 5(0) - 3 = - 3

f(0) = 5(0)-3 = - 3

Lim (x → 0)  f(x) =  f(0)

Lim (x → -3)  f(x)  = 5(-3) - 3 = - 18

f(-3) = 5(-3)-3 = - 18

Lim (x → -3)  f(x) =  f(-3)

Lim (x → 5)  f(x)  = 5(5) - 3 = 22

f(5) = 5(5)-3 = 22

Lim (x → 5)  f(x) =  f(5)

Learn More:

निम्नलिखित फलनों के सांतत्य की ...

brainly.in/question/15285672

Given f(x) = 3x3 – 5X2 – 10 and g(x) = X3 + 5x – 3 are two ...

brainly.in/question/18037203

35.

2x-3(x+10)+1 = -1+2(x+7) pls solve this

Answer»

Answer:

2x - 3x - 30 + 1 = -1 + 2x + 14

- x - 29 = 13 + 2x

3x = -13 - 29 = - 42

x = - 14

hope it HELPS

36.

When our dav school Dumraon will reopen ​

Answer»

I m in dav SCHOOL (bseb),punichak..

patna...

and .my skool will REOPEN on 17TH june

as u can SEE I my NOTICE

37.

draw the graph of x + 2y = 8 and write the coordinates of the point where the graph intersect x axis and y axis

Answer»

X=8-2y . Then TAKE any 3 VALUES and put it in place of y .Then equate x. U get the coordinates x,y . Now plot them in the graph. U will get a straight line JOINING the coordinates. Draw the line. U will get the points where it will intersect x and y axis ( mark as brainliest) .

38.

How do i solve a logarithmic graph

Answer»

Step-by-step EXPLANATION:

I do not know the answer.

39.

4x-3y+4=0,4x+3y-20=0,find the area bounded by these lines and x axis.​

Answer»

Answer:

on x AXIS y is zero therefore ANS is -1 and 5

40.

Square root of 17 by long division method solved answer on paper​

Answer»

SQUARE root of 17 is 4.123

Step-by-step explanation:

GIVEN : Number = 17

To Find : Square root of 17 by long division method

Solution :

We are supposed to find the square root of 17

Group the digits into pairs

For digits to the LEFT of the DECIMAL point, pair them from right to left.

For digits after decimal point, pair them from left to right.

Thus we have, 17

So, √17 = 4.123

Refer the ATTACHED figure for further steps

Hence Square root of 17 is 4.123

#Learn more :

Find the square root of 125 by long divison method

brainly.in/question/9966081

41.

Whole numbers interior one mark question​

Answer»

ANSWER:

MEANING

⭐ ✅

42.

If 3 X + 5 / 4 + 1 = X + 3 / 6 then the value of x is ?​

Answer»

Answer:

If 3 X + 5 / 4 + 1 = X + 3 / 6 then the VALUE of x is ?

Step-by-step explanation:

(3x+5/4)+1=x+3/6

3x+6/4 =x+3/6

3x+6 =4x+12/16

6×6 = x +12

x=36-12

=24

hope it HELPS

______________________________

43.

half the perimeter of a rectangular Garden whose length is 4m more than its wide is 36 metre find the dimension of the garden​

Answer»

Answer:

let BREADTH is A

according to QUESTION =

half of perimeter = 18/2

2(A + 4 ) = 9

A + 4 = 4.5

A= 0.5 m

HOPE it HELPS

44.

half the perimeter of a rectangular Garden whose length is 4 metre more than its why wide is 36 find the dimension of the guitar​

Answer»

Answer:

Answer:

LET BREADTH is A

according to question =

half of perimeter = 18/2

2(A + 4 ) = 9

A + 4 = 4.5

A= 0.5 m

HOPE it HELPS

45.

In a school students decided to plant trees in and around the school toreduce air pollution. It was decided that the number of trees, that eachsection of class will plant, will be double of the class in which they arestudying. If there are 1 to 12 classes in the school and each class hastwo sections find out how many trees were planted by the students?​

Answer»

Step-by-step EXPLANATION:

let suppose it be class

1 *2 *2 because DOUBLE

= 4

2*2*2 = 8

3*2*2=12

4*2*2=16

5*2*2=20

6*2*2=24

7*2*2=28

8*2*2=32

9*2*2=36

10*2*2=40

11*2*2=44

12*2*2=48

now ADDING we get 8+12+16+20+24+28+32+36+40+44+48=272

.:272 trees are planted by the students.

46.

What is a2+b2+ab2=to?​

Answer»

Step-by-step EXPLANATION:

i THINK there is SOMETHING FAULT in this QUESTION

47.

Coordinate gemotry mcq question​

Answer»

Answer:

hey MATE GIVE PROPERLY QUESTIONS

48.

A farmer decide divideof his land among his 4 sons . what share of land did each get

Answer»

Answer:

if farmer GAVE land in equal way than every SON will GET 25% of TOTAL land.

hope it helps

49.

Tell me all prime number between 1 to 100 .tell me any 20 composite numbers . write the definition of 1.acute angle. 2.obtuse angle 3.right angle 4.straight angle 5. reflex angle 6. complest angle .tell me fast plzzz ​

Answer»

Answer:

Step-by-step explanation:

prime nos which cannot divide with other no ex 1 2 3 5 7 11 13 17 19 23 29 et etc

obtuse ANGLE is GREATER than 180 degree

right angle is 90 degree

straight line is 180 degree

reflex angle is the LARGER angle. It is more than 180° but less than 360°

An angle of measure of 360 degrees is known as complete angle..

50.

2-2is equal what tricky question

Answer»

Answer:

0

because 2-2 =0 it's not a TRICKY PROBLEM