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.

During the spring of 2020, the state of Indiana was on lock down orders due to COVID-19. The state's business sales dropped exponentially and are modeled after the following equation:Sales = 500 (1 - 0.10)^twhere t = number of days and sales = number of millions of dollars.When sales have reached $23.5 million, it will be declared a statewide economic crisis. How many days until sales reach the economic crisis?

Answer»

♣ Qᴜᴇꜱᴛɪᴏɴ :

During the spring of 2020, the state of Indiana was on lock down ORDERS due to COVID-19. The state's business sales dropped exponentially and are modeled after the following equation:

Sales = 500 (1 - 0.10)^t

where t = number of days and sales = number of millions of dollars.

When sales have reached $23.5 million, it will be DECLARED a STATEWIDE economic crisis. How many days until sales reach the economic crisis?

★═════════════════★

♣ ᴀɴꜱᴡᴇʀ :

It will take 29 days to declare economic crisis

★═════════════════★

♣ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ :

According To Question :

Sales = 500 (1 - 0.10)^t

where t = number of days and sales = number of millions of dollars.

i. Compare it with a model

y = a(1 - b)ˣ

where b is percent change

Hence we get :

b = 0.10 = 10%

\large\boxed{\sf{b=10\:\%}}

ii. What will be the sales after two weeks (14 days) ?

Sales

= 500 (1 - 0.10)¹⁴

= 500 × (0.90)¹⁴

= 500 × 0.228

= 114 million dollars

\large\boxed{\sf{Sales=\$114\:million}}

iii. If sales = $23.5 million , then declare economic crisis

23.5 = 500 (1 - 0.10)^t

Diving both sides by 500 :

23.5/500 = (500 (1 - 0.10)^t)/500

0.047 = (1 - 0.10)^t

0.047 = (0.90)^t

In(0.047) = In(0.90)^t

-3.057 = t In(0.90)

-3.057 = t × (-0.105)

t = 3.057/0.105

t = 29.11

\large\boxed{\sf{t\approx29\:days}}

Hence it will take 29 days to declare economic crisis

2.

Write the following in mathematical form using signs of symbols 1. x taken away from 20​

Answer»

Answer:

20-X

Step-by-step EXPLANATION:

this MEANS x is SUBTRACTED from 20

3.

Write the statement of pythagoras theorem and verify it by taking a right angled triangle.​

Answer»

Answer:

Hope it will help you mate

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled TRIANGLE, the square of the hypotenuse side is equal to the SUM of squares of the other TWO sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is OPPOSITE to the angle 90°.

4.

Find the roots of 4x²+7x+4=0​

Answer»

Step-by-step EXPLANATION:

pleasefollow me...............

5.

0.1/5/14=z/10 this is the question related to the question I asked priviously that you answer me 5/14 so find value of z in this one​

Answer»

Step-by-step EXPLANATION:

PLEAS ANSWER me and FOLLOW me

6.

What is the answer of this give right answer fast​

Answer»

ANSWER:

OPTIONS a is the RIGHT answer

7.

Find the greatest common factor of the following monomial​

Answer»

Answer:

1) x^2 y^2

2)a^2

3)2ab

4)15x

5)abc^2

6)2ax

8.

Calculate the amout and compound interest in the folowing cases:P= Rs 20000, R=20%, T= 3/2 years when interest is compounded semi-annually.​

Answer»

P = ₹20000

R = 20%

T = 3/2 × 1 / 2 ( SEMI - ANNUALY )

= 3 / 4 YEARS

A = ₹20063

C.I. = 63 .

PLEASE MARK ME AS BRAINLEIST AND FOLLOW ME FOR ANY QUERIES AND THANKS MY ALL ANSWERS .

9.

what is the angle subtended at the centre of a circle of circumference 12 pie cm by an arc of length 3 piecm

Answer»

ANSWER:

ANSWER

Given that:-

Length of arc (l)=15cm

Radius of circle (r)=25cm

Angle SUBTENDED at the centre (θ)=?

As we know that,

l=rθ

⇒θ=

r

l

=

25

15

=

5

3

=0.6 radians

As we know that,

1 radian=

π

180

°

∴0.6 radian=

π

180

×0.6=

22

180×7

×0.6=34.36°=34°36

′

Hence the radian and DEGREE measure of the angle subtended at the centre of circle is 0.6 radians and 34°36

′

RESPECTIVELY.

10.

Batman is out for 23 run which rises is batting average for the season from 15 to 16. how many run would he have had to score bring average up to 18.​

Answer»

ANSWER:

The answer is '39'.

Step-by-step EXPLANATION:

11.

Q-20 solve this fast as you can

Answer»

ANSWER:

SORRY I am very POOR in MATHEMATICS

12.

Pls. Help me with this too​

Answer»

Answer:

this too LONG bruhh SORRY cant I can't HELP U with it

Step-by-step explanation:

y don't u ASK google for help

13.

Answer the following questions.ars..(a) Write down the coordinates of the origin.​

Answer»

Answer:

(0,0) are the COORDINATES of origin

Step-by-step EXPLANATION:

HOPE it HELPS

14.

6. *Se*(f(x) + f'(x)) dx =​

Answer»

ANSWER:

GOOD MORNING DEAR FRIEND.

15.

Draw a squre of area 90 cm square​

Answer»

ANSWER:

how can i DRAW. ........

16.

Answer the following questions.(a) Write down the coordinates of the origin.(b) What are the coordinates of a point which lies on the x-axis?225​

Answer»

ANSWER:

a) 0,0

B)X,0

Step-by-step EXPLANATION:

HOPE it HELPS

17.

The equation ofthe normal atP(x,y:) to thecirclex2 + y2 + 2gx + 2 fy+c=0is​

Answer»

Step-by-step EXPLANATION:

(x^2+2gx)+(y^2+10fy)=c

Now, COMPLETING the squares within the PARENTHESES, we GET

(x^2+2gx+g^2)+ (y^2+10fy+(5f)^2)=c+g^2+(5f)^2

=(x+g)^2+(y+5f)^2=..........

18.

Write the following in mathematical form using signs of symbols 1. x minus thrice y​

Answer»

ANSWER:

SEE PIC ...........okkkkkk

19.

In ∆ABC it is given that ∠A=70°,∠B=52° ,BO and CO are are the bisector of ∠B and ∠C respectively ,find ∠OCD and ∠BOC.​

Answer»

━━━━━━━━━━━━━━━━━━━━━━━━

\huge{\underline{\underline{\sf{\orange{Question:-}}}}}

In ∆ABC it is given that ∠A=70°,∠B=52° ,BO and CO are are the BISECTOR of ∠B and ∠C respectively ,find ∠OCD and ∠BOC.

━━━━━━━━━━━━━━━━━━━━━━━━━

\huge{\underline{\underline{\sf{\orange{Solution:-}}}}}

We have that the SUM of the ANGLES of a triangle is 180°.

\therefore \: \angle \: A + \angle \: B + \angle \: C = 180\degree

⇒ 70\degree + 52\degree + \angle \: C = 180\degree \\

⇒ \angle \: C = (180\degree - 122\degree) = 58\degree \\

\therefore \: \angle \: OCB =  \frac{1}{2} \angle \: C  = ( \frac{1}{2}  \times 58\degree) = 29\degree \\

and \: \angle \: OBC =  \frac{1}{2} \angle \: B = ( \frac{1}{2}  \times 52\degree) = 26\degree \\

In ∆BOC,we have

\angle \: OBC + \angle \: OCB + \angle \: BOC = 180\degree \\

⇒ 26\degree + 29\degree + \angle \: BOC = 180\degree \\

⇒ \angle \: BOC = (180\degree - 55\degree) = 125\degree \\

hence, \: \angle \: OCB = 29\degree \: and \: \angle \: BOC = 125\degree \\

━━━━━━━━━━━━━━━━━━━━━━━━━

20.

Which of the following is not true?A polynomial function is alwayscontinuousA continuous function is alwaysdifferentiableA differentiable function is alwayscontinuousNone of these​

Answer»

ANSWER is (B) A continuous function is always differentiable A continuous function may or may not be differentiable. So, (B) is not true.

HOPING THIS WILL HELP YOU PLZ MARK AS BRAINLIEST AND FOLLOW ME

21.

Prove this please fast

Answer»

ANSWER:

PLEASE ADD me in 5 BRAINLISTS answer, answer me

22.

Uits+Cine1-loseIt cosaJos If sin o-4 (020290)2- thenthen find the value of oneSt+>3​

Answer»

ANSWER:

sjkssisjsosksnlwlwslw

Step-by-step EXPLANATION:

jzjkalasowalallwqkklamdwl

23.

The distance between the points (-3,0)and(7,0) is ​

Answer»

Answer:

The distance between them is 10 units.

Step-by-step EXPLANATION:

SINCE -3 is negative, we TAKE out the negative sign and add.

7 + 3 = 10

Hope this HELPS!

24.

37 (46) 60121 (74) 158318 (?) 269find the question mark​

Answer»

Answer:

98

Step-by-step explanation:

as in 37 (46) 60

60 - 37

= 23

23 × 2

= 46

similarly it is in 2nd and third

318 - 269

= 49

49 × 2

= 98

25.

In right angle triangle ABC,8cm,15cm and 17 cm are the length of AB,BC,CA respectively.Then,find sin A,cos A and the tan A​

Answer»

ANSWER:

Step-by-step EXPLANATION: hfhdhhc

26.

√ ex(f(x) + f'(x) ) dx =​

Answer»

Answer:

To BEGIN with, let’s say

I = ∫ ex [f(X) + f ’(x)] DX

Opening the brackets, we get,

I = ∫ ex f(x) dx + ∫ ex f ’(x) dx = I1 + ∫ ex f ’(x) dx … (1)

Where, I1 = ∫ ex f(x) dx

To solve I1, we will use INTEGRATION by PARTS. Let the first function = f1(x) = f(x) and the second function = g1(x) = ex. Therefore,I1 = f(x) ∫ ex dx – ∫ [df(x)/dx ∫ ex dx] dx

Or, I1 = ex f(x) – ∫ ex f ’(x) dx + C

Substituting the value of I1 in equation (1), we get

I = ex f(x) – ∫ ex f ’(x) dx + ∫ ex f ’(x) dx + C = ex f(x) + C

Thus, ∫ ex [f(x) + f ’(x)] dx = ex f(x) + C … (2)

27.

The area of an equilateral triangle having side length equal to ✓3/4cm is​

Answer»

Given :-

  • Side of ∆ = √3/4 cm
  • Type of triangle :- Equilateral

We need to FIND :-

  • AREA of triangle = ?

Solution :-

As we know that ,

  • Area of Equilateral triangle = √3/4 × side²

By SUBSTITUTING the value of side in the given FORMULA , we can have the area of triangle

⇒ Area = √3/4 × [ √3/4 ]²

⇒ Area = √3/4 × 3/16

⇒ Area = 3√3/64

Hence , area of Equilateral triangle = 3√3/64

28.

X varies inversely as y. when 15, y= 10 if x=20 theny​

Answer»

Answer:

It is given that X varies INVERSELY as y i.e. x ∝ 1 y . When x = 15, y = 10. So, the equation of variation is xy = 150.

29.

If sinA = 0.8 ,find the value of all other trigonometrical ratios.Please help.. ​

Answer»

ANSWER:

sin \: a =  \frac{8}{10}

\sin \: a =  \frac{8}{10}  =  \frac{p}{h}

let \: the \: common \: multipe \: be \: x

p = 8x \: and \: h = 10x

by \: pythagoras \: theorem \\  {h}^{2}  =   {p}^{2}  +  {b}^{2} \\ {(10x)}^{2}  =   {(8x)}^{2}  +  {b}^{2} \\ {(10x)}^{2}  -  {(8x)}^{2}   =  {b}^{2} \\  {100x}^{2}  -  {64x}^{2}   =  {b}^{2} \\  {36x}^{2}    =  {b}^{2} \\  b =  \sqrt{36 {x}^{2} }  \\ b = 6x

\cos =  \frac{6}{10}

30.

In the picture ∠B=∠D=90°,∠ACB=45°∠CAD=60° AC=10cm.a)Find the perimeter of the quadrilateral ABCD.b)Find the area of the quadrilateral

Answer»

ANSWER:

N

এসইনমেন্ট নির্ধারিত কাজ

এর খোকন একজন দক ও তত পরিশ্রমী ফুটবল খেলােয়াড়! তার ওজন ৬ কেজি

এবং উইত ১৭০ সেমি। বুটি, আলু, বাদাম, ডিমের কুসুম খেতে সুস্থ করে।

শাকসবজি, ফলমুল ও মাছ মাংস খেতে পছন্দ করে না।

ক ফুটনাংক কাকে বলে?

খ. কৈ মাহের জন্য বীভূত অক্সিজেন প্রয়োজন কেন ব্যাখ্যা কর।

কা, খোকনের বি এম আইন য় কর।

হ, উদ্দসকে পছন্দনীয় ও ভদনীয় খাবার গুলো খােকনের শারীরিক ক্ষত

অটুট রাখতে কী ধরনের ভূচিকা পালন করবে বিশ্লেষণ কর।

শিক্ষাবর্ষের পুনর্বিন্যাসকৃত পাঠ্যসূচির ভিত্তিতে এ্যাসাইনমেন্ট নির্ধারিত ক ১১

31.

Find the breadth of the rectangle whose perimeter is 146 cm and whose length is?40cm​

Answer»

Answer:LET the breadth be b.

length =40 cm

perimeter=146 cm

146=2 (40+b)

146=80+2b

146-80=2b

60=2b

2b=60

b=60/2

b=30 cm

HOPE THIS HELPS U.....

Step-by-step EXPLANATION:

32.

X ^ 4 + 2 x cube + 2 x square + x + 1 answer​

Answer»

<P>Answer:

Given that:

P(x)=x

4

−3x

3

+2x

2

+x−1

WE know that if P(x) be a POLYNOMIAL then there EXIST two polynomial Q(x)&R(x)such that:

P(x)=(x−2)Q(x)+R(x)...........(1)

Now

Rearrange given polynomial as:

x

4

−3x

3

+2x

2

+x−1=x

4

−2x

3

−x

3

+2x

2

+x−2+1

x

4

−3x

3

+2x

2

+x−1=x

3

(x−2)−x

2

(x−2)+1(x−2)+1

x

4

−3x

3

+2x

2

+x−1=(x

3

−x

2

+1)(x−2)+1

P(x)=(x

3

−x

2

+10)(x−2)+1..............(2)

Compering equation 1&2

R(x)=1

Remainderis1whenP(x)isdividedbyx−2

33.

(0) How many2. A bokery seis cupcakes in boxes of 4Eoch box of cupcakes is sold at $8.Ann nos $30What is the greatest number of cupcakes Ann can buy?​

Answer»

ANSWER:

HI FRIENDS How are you..

34.

ਹੇਠ ਲਿਖਿਆ ਵਿੱਚੋਂ ਗੁਣ-ਵਾਚਕ ਵਿਸ਼ੇਸ਼ਣ ਕਿਹੜਾ ਹੈ ? *ਘਰੇਲੂਮਿਠਾਸਆਦਮੀਤਲਵਾਰ​

Answer»

ANSWER:

cannot UNDERSTAND the LANGUAGE

35.

At a constant temperature, a gas is at a pressure of 1080 mm Hg. If the volume is decreased to 40%, find the new pressure of the gas.​

Answer»

In mathematics, the IRRATIONAL numbers are all the real numbers which are not RATIONAL numbers. That is, irrational numbers cannot be expressed as the RATIO of two integers. ... For example, the decimal representation of π starts with 3.14159, but no finite number of digits can REPRESENT π EXACTLY, nor does it repeat.

36.

Which of the following is not linear equation in one valuable? 33 33(x+y)=0 33×=65 33y=33​

Answer»

33(x+y)

Step-by-step EXPLANATION:

37.

435​

Answer»

ANSWER:

217.5

Step-by-step EXPLANATION:

435 \div 2

435 \div 2 \:  \:  - 217.5 \:  \: is \: the \: answer

38.

∆ opqএর kshetrafalকত? ​

Answer»

ANSWER:

Step-by-step explanation:

where is the lenght and breadth of the TRIANGLE?

PHOTO....then i will ANSWERING in ur INBOX

39.

X are 10,15,p,25,30 and fare 13,10,25,17,35 and mean equal 20.85 find the value of P​

Answer»

ANSWER:

Im noob at roblox GIVE DOUGH and DARK blade in BLOX fruit

Step-by-step explanation:

40.

If two lines intersect each other,then the verfication

Answer»

ANSWER:

equal

Step-by-step EXPLANATION:

PLEASE MARK me as BRAINLIEST

41.

The sum of a number and its square is ten times that forms second degree equation​

Answer»

ANSWER:

I don't KNOW then TRYING to GIVE answer to U

sorry for this answer

42.

QNo 2: Find the (total) area of the shaded regions.9cmTama20 cm11cm35cmBeimBengem »12cm​

Answer»

Step-by-step EXPLANATION:

PLEASE MAKE me as BRANIEST

43.

Find the mean and median of all the prime numbers between 3 and 30.​

Answer»

Answer:

MEAN = 12.4

median = 12.9

Step-by-step EXPLANATION:

please MARK as brainliest

44.

4. यदि दो रेखाएँ परस्पर प्रतिच्छेद करती हैं, तो शाषाभिमुख काण बराबर हात ह5. एक चतुर्भुज ABCD का क्षेत्रफल ज्ञात करें, जिसमें AB=3cm, bc=4cm,CD=4cr6. उस गोले की त्रिज्या ज्ञात कीजिए जिसका पृष्ठीय क्षेत्रफल 154 cm है।7. 4-5y+6 का गुणनखण्ड ज्ञात करें ।8. यदि बिन्दु (3,4) समीकरण 3y=ax+7 के आलेख पर स्थित तीव9. k का मान ज्ञात करें, जबकि x=2, y=1 समीकरण 2x+3y=k का एक हल२. x=1, तो P(s)= 5x-3x+7 का मान ज्ञात करें ।2ection - C(5x8=40)1. एक चाप द्वारा केन्द्र पर अंतरित कोण वृत के शेष भाग के किसी बिन्दु:. एक त्रिभुत ABC की रचना कीजिए, जिसमें BC=7cm, LB=75 औ. एक कमरे की लंबाई, चौड़ाई और ऊँचाई क्रमश: 5m, 4m और 3nकीजिए​

Answer»

ANSWER:

Can u ASK ur QUESTION in English, PLZ?

45.

Covert 7π\5 into degree measure​

Answer»

ANSWER:

252°

Step-by-step EXPLANATION:

USE FORMULA 2pie=360°

you will GET the answer

46.

If z=cos +sin then1\z=​

Answer»

It MAY HELPS you.....☺️☺️

47.

in the given figure abcd is a trapezium with ab parallel to dc . if ab = 9 cm, dc=18cm , cf=13.5 cm , ap=6 cm and be=8 cm . calculate ec, af and pe ​

Answer»

Answer:

DEFINITIONS in:

All

Physics

Medicine

noun

the branch of science concerned with the nature and properties of matter and energy. The subject matter of physics includes mechanics, heat, light and other radiation, sound, ELECTRICITY, MAGNETISM, and the structure of atoms.

the PHYSICAL properties and phenomena of something.

48.

Degree of the polynomial 9x2yz2 + 6x3y2z2 – 5x + 8y is(A) 14(B) 5(C) 7 (D) 4.Option AOption BOption COption D​

Answer»

ANSWER:

OPTION (a)

Step-by-step EXPLANATION:

HOPE you UNDERSTAND

49.

3y-2/7-5y-8/4=1/14 solve this question​

Answer»

Answer:

4(3y-2)-7(5y-8) / 28 = 1/14

12y-8-35y+56 /28 =1/14

-23y+48 / 2 =1

-23y=2-48

-23y=-46

y=2

50.

0.5/7=0.1/y find the y​

Answer»

ANSWER:

y=1.4

Step-by-step explanation:

0.5/7=0.1/y

or 5/70=1/(y*10)

or y=70/50

or y=7/5

or y=1.4