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 zero of the polynomial p(x)=x2-16​

Answer»

<P>Given -

  • p(x) = x² - 16

To Find -

  • Zeroes of the polynomial

Now,

→ x² - 16

→ (x)² - (4)²

  • Using the identity of a² - b² = (a + b)(a - b)

→ (x + 4)(x - 4)

Zeroes are -

→ x + 4 = 0 and x - 4 = 0

→ x = -4 and x = 4

Verification :-

  • α + β = -b/a

→ -4 + 4 = -(0)/1

→ 0 = 0

LHS = RHS

And

  • αβ = c/a

→ -4 × 4 = -16/1

→ -16 = -16

LHS = RHS

Hence,

Verified...

It SHOWS that our answer is ABSOLUTELY CORRECT.

2.

[-11/9+17/12]*[7/3-23/7]+[3/5*1/6].​

Answer»

ANSWER:

1/10

Step-by-step EXPLANATION:

Please go through the PROCESS and answer.

THANK you.

3.

B+be+be²+...+be^n-1=b(1-e^n)/e-1 +1 Maths PMI​

Answer»

Step-by-step explanation:

The TYPES of secondary industries are:

ELECTRICAL INDUSTRY.

Chemical Industry.

Energy industry.

Metallurgical industry.

Construction Industry.

Food Industry.

Glass industry.

Textile and CLOTHING industry.

4.

Simplify(x +y) (x-y) (x2 + y2)​

Answer»

Step-by-step EXPLANATION:

MARK me BRAINLIEST and FOLLOW me.

5.

Compare the following pair of surds1)7√2,5√32)√247,√2743)5√5,√284)5√5,7√25)4√42,9√26)5√3,97)7,2√5​

Answer»

Step-by-step EXPLANATION:

is it SYMBOL of GOLD in your PROFILE

6.

If the distance between (asin theta, a cos theta) and the origin is 3units then find value of a​

Answer»

Step-by-step EXPLANATION:

by DISTANCE FORMULA

ROOT( asin thetha -0)²+(a cos theta -0)² =(3)²

this is urs answer

7.

Find the are of rectangular park which is 36 3/5 m long and 16 2/3 m broad​

Answer»

ANSWER:

RECTANGULAR PARK which is 36 3/5 m

8.

ABCD is a parallelogram when

Answer»

R.E.F image 

∴DC∥AB or DC∥AP 

∴DC=21AP... by mid-point theorem 

DC=AB=BP

CB∥AD or CB∥RA

∴CB=21RA... by mid-point theorem  

CB=DA=DR

Let ABCD be a SQUARE  (∵ square is also a ∥ gram) 

∴DC=CB=BA=DA

Here, DC=CB

and, DC=21AP...(i)

CB=21AR...(ii)

COMPARING (i) and (ii)

⇒21AP=21AR

Multiplying 2 both sides

⇒AP=AR

∴ΔRAP is an ISOSCELES TRIANGLE 

Now, 

To SHOW :- AP+AR= Perimeter of ∥gram ABCD

We know that,

Perimeter of ∥ gram ABCD=AB+BC+CD+DA

but =AB+BC=AP and A

9.

9√3/1+7/√3 simplify the following equation.​

Answer»

ANSWER:ANSWERE is 9/8

Step-by-step EXPLANATION:

10.

Find three rational number between -3/5 and -1/3​

Answer»

ANSWER:

-1/4,-1/5,-1/6. ♥️♥️♥️♥️♥️

Step-by-step explanation:

FOLLOW me and PLEASE mark me as a BRAINLIST ♥️

11.

2 ] Express each of the following equations in the form ax + by + c = 0 and indicate thevalues of a, b, c in each case.(i) x = 6(ii) 3x – y = x – 1(iii) 2x + 9 = 0(iv) 4y = 7(v) x + y = 4​

Answer»

Step-by-step explanation:

(i) x = 6

In the form of ax + by + c = 0 we have x+0y+(-6)=0 where a = 1, B = 0 and c=-6.

(ii) 3X – y = x – 1

In the form of ax + by + c = 0 we have 2x+(-1y)+1=0 where a = 2, b = -1 and c = 1

(iii) 2x + 9 = 0

In the form of ax + by + c = 0 we have 2x+(-1y)+1=0 where a = 2, b = -1 and c = 1

(IV) 4y = 7

In the form of ax + by + c = 0 we have 0x+4y+(-7)=0 where a = 0, b = 4 and c = -7

(v) x + y = 4

In the form of ax + by + c = 0 we have 1x+1y+(-4)=0 where a=1,b=1,c=-4

(vi)

x

2

-

y

3

=

1

6

+y

In the form of ax + by + c = 0 we have 3x-2y=1+6y⇒3x-8y+(-1)=0 where a=3,b=-8,c=-1.

12.

For what value ofk ,3is zeroe of p(x)=2x2+k​

Answer»

ANSWER:

hope it will HELP you. solution is to be PROVIDED in the picture.

13.

Solve the pair of linear equation by reducing them to a pair of linear equation.1 . 4/x + 3y = 14 6/x-1 - 3/y-2 = 1​

Answer»

Step-by-step explanation:

SOLVE the pair of linear EQUATION by REDUCING them to a pair of linear equation.

1 . 4/x + 3y = 14

6/x-1 - 3/y-2 = 1

14.

Find x if =2/5=x/-15​

Answer»

Step-by-step EXPLANATION:

the ANSWER will be

2=5x/-15

2=x/-3

-6=x is the answer of this QUESTION

15.

26. If K = 19 +8√3, then find the value of√K - (√K + √3).(A) O(B) 1(C) 2(D) 3(E) None of these​

Answer»

{\huge{\underbrace{\overbrace{\pink{Answer:-}}}}}

OPTION C - 2

\large\bf \underline\red{Explaination:-}

k = 7-4√3

(√k +√3) = [( √ 7-4√3 ) + √3)]^3/2

= [ √(4+3 -2•2√3) + √3]^3/2

= [ √(2-√3)^2 + √3]^3/2

= [ 2-√3 +√3]^3/2

= (2)^3/2

or

>>>. 2√2

16.

Angle ABC and angle PQR are congruent . Will the reflex angle ABC and reflex angle PQR also be congruent?

Answer»

ANSWER:

YES of COURSE

17.

Find the rational numbers between 3/5 & 4/5​

Answer»

ANSWER:

6/10 and 8/10

7/10 is your answer MARK me BRAINLIEST

18.

For what values of p and q, the expression,x⁴ - 14x³ + 71x² + px +q is a perfect square?​

Answer»

Answer:

p=-546, q=1521;;;

Step-by-step explanation:

let me assume that the square ROOT of the equation is a quadratic equation

x^2+ax+b=0;(x^2 coefficient is 1 CUZ we can infer from the equation in the QUESTION)

so (x^2+ax+b)^2=x^4-14^3+71x^2+px+q

compare the coefficients after EXPANDING the equation

do the math you will find a=-7 b=39

comparsion GIVES p=2ab q=b^2

so p=-546 q=1521

this m8 help:)

19.

GivenIx-serie y-seriesprean 18♡100SD1420and 820-8, write down on of the lines of regression andhence find the most provable value of y when x=10​

Answer»

ANSWER:

PLZZ plzz SEARCH on ggoogle

20.

Evaluate(-8)-(-55) ÷ (-11)+(-3) x4​

Answer»

ANSWER:

HOPE IT WILL HELP YOU

FOLLOW ME

21.

Find the middle term of AP -15,-11,-7,-3...49 ​

Answer»

Answer:

Ans:- 9

Step-by-step explanation:

The formula of an A.P.

TN = a + (n - 1)d

but to find middle:- n/2

therefore: tn = a + (n - 1) X d

substituting the values,

49 = -15 + (n - 1)X 4

(n - 1) = 49 + 15 / 4

n - 1 = 16

n = 17

therefore:- n is odd so middle term would be (n+1)/2

= 18/2 = 9

I HOPE this helps out .

22.

(2 root 2 + 3 root 3) (2 root2 - 3 root 3)​

Answer»

ANSWER:

I HOPE it helps you please MARK me BRAINLIEST

23.

Page No. :if 2and -2 are the zeroesare the zegoes of the2x⁴ - 3x³- 3x² +6x-2, findThe other zeroes​

Answer»

Answer:

1 and 0.5

Step-by-step explanation:

This is PRETTY simple

we can see that 1 satisifies the equation=0(general TRIAL method for equations with same  coeffecients!)

So now we have 2,-2,1 three roots ,SINCE the equations has four roots other ROOT can be found by using sum of roots from equation:

2+(-2)+1+x(unknown root)=sum of roots=-(-3/2)

1+x=3/2

x=1/2;

HOPE THIS M8 HELP:)

24.

Divide the polynomial f(x) = 5x2 – 8x3 + 2 – 15x by the polynomial 2x – 4x2 + 1 and verify the division algorithm. (with all steps) Answer fast!

Answer»

ANSWER:

answer -1/3

Khan Academy · Khan Academy

5:00

Dividing POLYNOMIALS: synthetic division (video)

AUG 9, 2016

If you have some other DOUBTS

25.

Lim [sin(3 + x) - sin(3 - x)/ x]x->0​

Answer»

ANSWER:

lim [SIN(3 + X) - sin(3 - x)/ x]

x->0lim [sin(3 + x) - sin(3 - x)/ x]

x->0

26.

560 min = hours and min​

Answer»

Answer:

60 MIN = 1 HOUR

560=???

560/60=9 hour and 33 MINUTES

27.

Evaluate 1/9 of 36 plz solve​

Answer»

Answer:

1/9×36

1×4=4

Step-by-step EXPLANATION:

HOPE it HELPS you

28.

Find the discriminand of the equation x2-5=0​

Answer»

Step-by-step EXPLANATION:

discriminant=b^2-4ac

=0-(-20)

=20

mark as BRAINLIEST

29.

What is 534th part of 101887​

Answer»

Answer:

4073

Step-by-step EXPLANATION:

PLS MARK ME AS A BRAINILIEST AND FOLLOW ME THEN I WILL FOLLOW YOU BACK

30.

2 pointsProduct of two consecutiveintegers is always divisible byO 8O 2O O OO 3O 6​

Answer»

ANSWER:

THE ANSWER IS 2

PLEASE FOLLOW ME

31.

Hey guys what is 2+2 divided by four times 3?

Answer»

HOLA MATE!!!!!!!!!!!

2+2=4

4/4=1

1×3=3.

3 IS THE ANSWER ✌️✌️✌️✌️✌️✌️

32.

1] Express each of the following equations in the form ax + by + c = 0 and indicate thevalues of a, b, c in each case.(i) 3x-y=x-1​

Answer»

3X – y = X – 1

SOLUTION :

            \red{In the form of ax + by + c = 0 we have 2x+(−1y)+1=0 where a = 2, b = −1 and c = 1}

33.

Find the value of p for which the point (-2 , –2) is the mid point of (–5, 1) and(1, p)

Answer»

Step-by-step EXPLANATION:

the ANSWER will be

2=-5+1/2

2=-4/2

-2

y=1+p/2=-2

y=1+p=-4

p+1=-4

p+1+4=0

p=-5 is the answer

34.

Find the difference when subtrahend =68401and minuend =182546

Answer»

ANSWER:

GIVR PIC of QUESTIONS PLS

35.

The sum of three consecutive even integers is 108. What is the largest number?

Answer»

Let:-

The three consecutive even numbers be 2x , 2x + 2 and 2x + 4 .

Given:-

SUM of these three consecutive even numbers = 108

Now on adding these three consecutive even numbers we GET ,

=> 2x + (2x + 2) + (2x + 4) = 108

=> 2x + 2x + 2x + 2 + 4 = 108

=> 6x + 6 = 108

=> 6(x + 1) = 108

=>x + 1 = 18

=> x = 17

On putting the value of x in 2x , 2x +2 and 2x + 4 the numbers we have,

=> 2x = 2×17 = 34

=> 2x + 2 = 2×17 + 2 = 36

=> 2x + 4 = 2×17 + 4 = 38

Therefore:-

The largest number is 38.

36.

If alpha and ßare the roots of theequation 2x²+3x+2=0then findeq. whose roots are (alpha +1) and (beta +1)​

Answer»

hope it HELPS you... THANKS

37.

Estimate each sum to the nearest ten:5. (57 +34)8. (86 +19)11. (356 + 275)6. (43 + 78)9. (95 + 58)12. (463 +182)Estimate each sum to the nearest hundred:​

Answer»

Answer:

90

100

620

140

150

640

..........

38.

Towards the building. Find the distance he walked towards the building.7. From a point on the ground, the angles of elevation of the bottom and the top of atransmission tower fixed at the top of a 20 m high building are 45° and 60° respectively,Find the height of the tower.15. A streobsetowoto be​

Answer»

ANSWER:

HOPE this HELPS ^_^

39.

Зx+y=14x+y=7Solve graphically​

Answer»

ANSWER:

HOPE THIS HELPS ^_^

40.

14kg250gm×22 what will the answer​

Answer»

Answer:

77kg..

Step-by-step explanation:

SHOWN above please observe and please mark as the BRAINLIST please...

41.

Evaluate (-11)x(15) + (-11) ×(-20)​

Answer»

ANSWER:

-385 is the answer.......

42.

From the linear equation firedtemperature of the intheof the in Fahrenheittemperature of the body25the(30°C​

Answer»

ANSWER:

I am SORRY I didn't HELP U

43.

Please solve this number pattern

Answer»

ANSWER:

This is your answer☝️☝️

If you LIKED so FOLLOW me and MARK as BRAINIEST......

44.

Discuss the movement launched by the Indian National Congress in 1942​

Answer»

Step-by-step explanation:

On 8 August 1942 at the All-India Congress Committee session in Bombay, Mohandas Karamchand Gandhi launched the 'Quit India' movement. The next day, Gandhi, Nehru and many other leaders of the Indian National Congress were arrested by the BRITISH Government. Disorderly and non-violent demonstrations took place throughout the country in the following days.

By the middle of 1942, Japanese troops were approaching the borders of India. Pressure was mounting from China, the United States and Britain to solve the issue of the future status of India before the end of the war. In March 1942, the PRIME Minister dispatched Sir Stafford Cripps, a MEMBER of the War Cabinet, to India to discuss the British Government's Draft Declaration. The draft granted India DOMINION status after the war but otherwise conceded few changes to the British Government Act of 1935. The draft was unacceptable to the Congress Working Committee who rejected it. The FAILURE of the Cripps Mission further estranged the Congress and the British Government.

please mark as brainliest and follow

45.

100 less than the greatest 6-digit number is

Answer»

ANSWER:

999899 is the answer....................

46.

-4(5y+7)solve it answer me​

Answer»

Step-by-step EXPLANATION:

- 4 (5Y + 7)

= - 20Y - 28 (ANSWER:)

If [-4(5y+7)] = 0

Then, [- 20y - 28] = 0

=> -20y = 28

=> -y = 28/20

=> -y = 7/5

=> y = -7/5 (ANSWER:)

47.

Add : 2√ 2 + 5 √3 and √2 - 3√ 3​

Answer»

ANSWER:

We NEED to add

➡ 2√2 + 5√3 and √2 - 3√3

➡2√2 + 5√3 + √2 - 3√3

➡2√2 + √2 + 5√3 - 3√3

➡3√2 + 2√3 answer

Hope this HELPS you ;)

48.

"A" की बीवी "B""B" की भाभी"C""C" की बेटी"V""V" के दादा"G""G" की बीवी "K""K" की बेटी "T"तो बताओ "A" और "T"का क्या रिश्ता हैं ???​

Answer»

ANSWER:

A KA t SE HUSBAND - wife ka rista h

49.

725×(-45)+(-725)×55​

Answer»

Answer:

725×(-45)+(-725)×55=-72500.

50.

Evaluate the following giving your answer in the simplest form(-24/25)×46/16​

Answer»

ANSWER:

-2 19/25

Step-by-step EXPLANATION:

(-24/25)×46/16=

-24/25 × (50-4)/16=

-24/25×50/16 + 24/25×4/16=

-3 + 6/25=

-2 19/25