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.

1 + cot² θ = _____ *​

Answer»

ANSWER:

tan² THETA..............

2.

If two lines never intersect in a plane,then the lines are parallel True False

Answer»

Answer: TRUE

Step-by-step EXPLANATION:

They would have to be because any two LINES but PARALLEL lines INTERSECT.

3.

The Rockets soccer team has won 7 of their last 8 games. Which value is equivalent to the number of the games they have won?

Answer»

Answer:

P ( Mathches they didn't won) = 8-7/8= 1/8

Step-by-step explanation:

PLEASE MARK ME BRAIN LIST and thanks me

4.

The graph shows the relationship between the number of cups of sugar and the number of of in a recipe. What point on the graph represents the number of cups of sugar that would be used with of ​?

Answer»

Answer:

good MORNING

Step-by-step explanation:

have a GREAT day

5.

Mary is putting new carpeting in her bedroom. Her bedroom floor is 7 feet long and 8 feet wide. How much carpeting does Mary need to buy? add it

Answer»

ANSWER:

Length = 7 feet

Breadth = 8 feet

Area = L*B

= 7*8

Therefore mary needs to buy 56 feet carpeting

6.

Bahupad p(x)=x-5 ke sunyak gant kijiye​

Answer»

Step-by-step EXPLANATION:

x-5=0

x=5

I HOPE it HELPS you

7.

Find an equation connecting p and a if p=60 when a=4

Answer»

ANSWER:

p - a = 56

p + a = 64

Step-by-step explanation:

p = 60

a = 4

60 - 4 = 56

p - a = 56

60 + 4 = 64

p + a = 64

Equations CONNECTING p and a if p = 60 when a = 4 are,

p - a = 56

p + a = 64

8.

Write √7 it in exponential form ​

Answer»

ANSWER:

PSP psp psp ISO to iso iso iso iso

9.

Answer this question according to the given attachment :-What is the length of EF where EF is one of the horizontal edges of the block ? options :- (i) 24 m(ii) 3m(iii) 6m(iv) 10 m​

Answer»

Answer:

OPTION (4) is the CORRECT one :- 10m

10.

Solve this..............​

Answer»

♣ɢɪᴠᴇɴ:–

\large \bf \dfrac {sin ^{4} \: A}{a} \: + \: \frac{cos^{4} A}{b} \: = \: \frac{<klux>1</klux>}{a \: + \: b}   \\

♣ᴛᴏ ᴘʀᴏᴠᴇ:–

\large \bf \dfrac{sin ^{8} \: A}{ {a}^{3} } \: + \: \frac{cos^{8} \: A}{ {b}^{3} } \: = \: \frac{1}{(a \: + \: b) ^{3} }  \\

♣sᴏʟᴜᴛɪᴏɴ:–

➤ cos²A = 1 - sin²A

➤ cos⁴A = 1 + sin⁴A - 2sin²A

 cos⁴A = 1 + sin⁴A - 2sin²A

\begin{gathered}\\ \to \sf \dfrac{sin^4A}{a}+\dfrac{1+sin^4A-2sin^2A}{b}=\dfrac{1}{a+b}\\\end{gathered}\\\begin{gathered}\\\to \sf bsin^4A+a+asin^4A-2asin^2A=\dfrac{ab}{a+b}\end{gathered}\\\begin{gathered}\to \sf sin^4A(a+b)-2asin^2A+a=\dfrac{ab}{a+b}\\\end{gathered}\\\begin{gathered}\\ \to \sf sin^4A(a+b)^2-2(sin^2A)(a+b)a+a(a+b)=ab\\\end{gathered}\\\begin{gathered}\\\to \sf sin^4A(a+b)^2-2[sin^2A(a+b)]a+a^2+ab-ab=0\\\end{gathered}\\\begin{gathered}\\\to \sf[sin^2A(a+b)]^2-2[sin^2A(a+b)]a+a^2=0\\\end{gathered}\\(a - b)² = a² - 2ab + b²\\\begin{gathered}\\\to \sf [sin^2A(a+b)-a]^2=0\\\end{gathered}\\\begin{gathered}\\\to \purple{\textsf{\textbf{ sin$^\text{2}\text{A}=\dfrac{\text a}{\text{a\ +\ b}} $}}}\\\end{gathered}\\\bull \:  \bf{Now , cos²A = 1 - sin²A}\\\begin{gathered}\\\to \sf cos^2A=1-\dfrac{a}{a+b}\\\end{gathered}\\\begin{gathered}\\\to \pink{\textsf{\textbf{$\text{cos}^\text{2}\text{A}=\dfrac{\text{b}}{\text{a\ +\ b}}$}}}\\\end{gathered}\\\bull \: \bf{So} ,\\\begin{gathered}\\\sf \dfrac{\text{sin}^\text{8}A}{a^3}+\dfrac{cos^8A}{b^3}\\\end{gathered}\\\begin{gathered}\\\to \sf \dfrac{(sin^2A)^4}{a^3}+\dfrac{(cos^2A)^4}{b^3}\\\end{gathered}\\\begin{gathered}\\\to \sf \dfrac{\big(\dfrac{a}{a+b}\big)^{\tiny{4}}}{a^3}+\dfrac{\big(\dfrac{b}{a+b}\big)^{\tiny{4}}}{b^3}\\\end{gathered}\\\begin{gathered}\\\to\sf \dfrac{a}{(a+b)^4}+\dfrac{b}{(a+b)^4}\\\end{gathered}\\\begin{gathered}\\\to \sf \dfrac{a+b}{(a+b)^4}\\\end{gathered}\\\begin{gathered}\\\red{\leadsto \textsf{\textbf{$ \dfrac{\text 1}{\text{(a\ +\ b)$^\text{3}$}} $}}}\\\end{gathered} \\

11.

Find quardtic equation whose one of zeroes is 2+ ✓3​

Answer»

Step-by-step explanation:

If 2+sqrt(3) is a ZERO, so is the conjugate 2-sqrt(3) .

Also, if a is a zero, then (x-a) is a factor, thus the factors of the quadratic are:

(x-2+sqrt(3))(x-2-sqrt(3))

Multiplying we get:

x^2-2x-xsqrt(3)-2x+4+2sqrt(3)+xsqrt(3)-2sqrt(3)-3

Adding LIKE terms:

x^2-4x+1

-----------------------------------------------------------------

The monic quadratic polynomial with rational coefficients is:

x^2-4x+1

-----------------------------------------------------------------

** CHECKING we can use the quadratic FORMULA to FIND the roots(zeros):

x=(4+-sqrt(16-4(1)(1)))/(2(1))

=(4+-sqrt(12))/2

=(4+-2sqrt(3))/2

=2+-sqrt(3)

and we see that 2+sqrt(3) is a zero.

12.

The 4th and 17th term of an ap are 3 and 36 find the AP and its 15th term

Answer»

ANSWER:

dfddr EXCHANGE dfghhhhjjhhbv Gregg

13.

Construct a scale to measure up to 10 km which represents 1 km as 15 mm and also find the representation factor of the scale.

Answer»

ANSWER:

OK GUY TAKE 50point PLZZZ

14.

what's the difference between mounted and surmounted in maths..... explain in detail with examples and diagram ​

Answer»

ANSWER:

MOUNTED MEANS any object PLACED on the other object while surmounted means any object holding any other object placed on the top of its surface

15.

ALGEBRA SECTIONQ1: Add the following.1. a² - b², 2 a² + 3b²2. 2x³ – 4x² – 3x + 5,4x² – x³ - x + 3GEOMETRYQ2: Define the following and also draw the diagram.1. Major segment2. Chard3. Radius.​

Answer»

ANSWER:

tcinkvtxygubtxrxyvibtxrc of rxtociys,tctidydkxgclg

16.

ALGEBRA SECTIONQ1: Add the following.1. a? - b2, 2a+ 3b22. 2x3 – 4x2 - 3x + 5, 4x2 - 33 - x + 3​

Answer»

Answer:

1)

a²-b²+2a+3b²

=+2a+2b² (ANS)

2)

2x³-4x²-3x+5+4x²-33-x+3

=2x³- 4x²+ 4x²-3x-x-33-3+5

=2x³-4x-31 (Ans)

17.

MAAF KRO BHAII M JAA RHA HU BYEE ​

Answer»

ANSWER:

kidhar jaa RHE ho or KIS se maafi maag RAHE ho DUDE

18.

Graph the rational function f of x equals quantity 4 times x minus 3 end quantity over quantity x plus 2 end quantity.A rational function is graphed in the first quadrant and in the second and third quadrants is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 3 and approaches an imaginary vertical line at x equals 5. A rational function is graphed in the second quadrant and in the third and first quadrants is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 4. A rational function is graphed in the second quadrant and in the third and first quadrants is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 4 and approaches an imaginary vertical line at x equals negative 2. A rational function is graphed in the first quadrant and in the second and third quadrants is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 5 and approaches an imaginary vertical line at x equals 3. dont just answer for points my future depends on this

Answer»

{\huge{\purple{\underline{\underline{\bf{\pink{\mathfrak{Answer}}}}}}}}

{\: \: \: \: \: \: \: \: \: \:Initial \: Velocity, \: u \: = \: <klux>0</klux>}

{\: \: \: \: \: \: \: \: \: \: Distance, \: s\: = \: 200m}

{\: \: \: \: \: \: \: \: \: \:Time, \: t\: =\: 10s}

{\small{\bf{\green{\mathfrak{\underline{\underline{As\: we\: are\: asked\: to\: find\: Acceleration,}}}}}}}

{\: \: \: \: \: \: \: \: \: \:s\:=\:ut\:+\: 1/2at²}

{\huge{\bf{\green{\mathfrak{\underline{\underline{By\: substituting\: values\: in\: the\: \: formulae,}}}}}}}

⇒200 = 0*(10) + 1/2(a*(10)²)

⇒200 = 1/2(a*100)

⇒200 × 2 = a × 100

⇒400/100 = a

⇒4 = a

{\huge{\bf{\green{\mathfrak{\underline{\underline{Or,}}}}}}}

{\: \: \: \: \: \: \: \: \: \:a\: =\: 4\: m/s²}

19.

4. If the height and sum of the parallel sides of a trapezium are increased three times, then find theincrease per cent of area.​

Answer»

ANSWER:

FOLLOW me for FREE POINTS. plspla

20.

OBS-aea (CEvaluate: limy​

Answer»

Answer:

OXIGEN

Step-by-step EXPLANATION:

if there was MO oxygen all organismn WUD HV died

21.

Write the greatest 4-digit number and express it in terms of its prime factors?​

Answer»

ANSWER:

PRIME FACTORS of 9999

Therefore, 9999 is the largest 4-digit number and can be EXPRESSED as 3 × 3 × 11 × 101.

Mark me as BRAINIEST

22.

3.7x²+15 x-4=0Sum:Product:​

Answer»

ANSWER:

ikon

88iiiiiiiiiiiiiiiiiii

23.

In a cricket match,a woman batsman hit 6 times 4 runs out of 30 balls.​

Answer»

ANSWER:

Totalnumberofballsplayed=30

Numberoftimesbatsmanhitsaboundary=6

Numberoftimesbatsmandoesnothitaboundary=30−6=24

Probabilitythatonaballplayedhedoesnothitsaboundary

=TotalnumberofballsplayedFrequencywhenthebatsmandoesnothitsaboundary

=3024=0.8

24.

(ii) A circle is inscribed by a square. The length of side of square is 10 cm. The length ofdiameter of circle is(a) 10 cm. (b) 5cm(c) 20 cm(d) 10/2 cm.Answer is 10cm... make it.....​

Answer»

ANSWER:

10

Step-by-step EXPLANATION:

answer is a

10 CM

because

square sideis

10 cm

so

answer is

10 cm

25.

8meter 5 decimeter to decimeter​

Answer»

Answer:

1m=10dm

so,

8m5dm=8×10+5dm

=85dm

26.

In a big bazar, the total cost of two shirts and trouser is rupee 3491.96 . If the cost of a shirt is rupee 2006.99 less than the cost of a trouser , then the cost of a shirt is(i) $ 490.90(ii) $ 494.99(iii) $ 1084.97(iv) $ 1484.97 ​

Answer»

ANSWER:

$1084 OK JK jk jk jk jk jk jk(kkkkkkk

27.

2. Subtract the following:(1) 3 hours 10 minutes - 2 hours 40 minutes ​

Answer»

Answer:

30 MIN

Step-by-step explanation:

3 HRS 10 mins = 190 min

2 hrs 40 min = 160 min

so answer is 30 min

28.

a scooter worth ₹30000 was insured for 90% of his value.how much would the owner get in case of any mishappening​

Answer»

Answer:

THE SCOOTER GOT INSURED @ 90% OF ITS TOTAL VALUE.

THE OWNER WILL GET ONLY 90% AMOUNT OFF HIS SCOOTER IN CASE OF ANY ACCIDENT.THIS IS BECAUSE OF THE PRINCIPLE OF INDEMNITY.IT SAYS THAT THE INSURED MUST NEITHER GET MORE NOR LESS THAN THE LOSS OCCURRED DURING AN INCIDENT OR ACCIDENT.

THEREFORE, OWNER WILL ONLY GET @90% OF THE TOTAL VALUE OF THE SCOOTER.

29.

Solve the following problem (6)= 21 + 32 subject to 1 − 22 ≤ 0,−21 + 32 ≥ −6,1, 2 unrestricted​

Answer»

ANSWER:

BYE Bye the AIR it is the BEST the air it is

30.

10. Factorise by using the above results(identities)1) 27a3+ 64b3​

Answer»

ANSWER:

Hope this helps you.

Step-by-step explanation:

Remembering that:

a3−b3=(a−b)(a2+ab+b2)

we can try to write

27a3−64b3

like a difference of cubes

27a3−64b3=33a3−26b3=33a3−(22)3b3=

(3a)3−43b3=(3a)3−(4B)3

Now we can apply the rule:

27a3−64b3=(3a)3−(4b)3=

=(3a−4b)((3a)2+12ab+(4b)2)

=(3a−4b)(9a2+12ab+16b

31.

Calculate the simple Interest on ₹10000 for 5 years 6 months at a interest of 1.5 % per month? ​

Answer»

Hey Mate,

Here's your answer,

____________________

=> Principal = 10000 RS

=> Time = 5 YEARS 6 months or 5 1/2 YEAR

=> Rate = 1.5% per month

(Convert Rate into year)

(1 year = 12 months)

(1.5% × 12)

(6.0%)

Simple Interest = PRT / 100

=> Simple Interest = 10000 × 5 1/2 × 6 / 100

=> Simple Interest = 100 × 5 1/2 × 6

=> Simple Interest = 3300 Rs

___________________

hope \: it \: helps

32.

1) If the slope of the line joining points (k, - 3) and (4, 5) is 12, then find the value of k.​

Answer»

ANSWER:

It will be -2 maybe

I am not SURE...I MOSTLY do mistakes in sign

33.

Find the mode of below given dataclass 0-10 10-20 20-30 30 - 40 40 - 50 50 - 60 60 to 70 70 - 80 frequency 07 ,14, 13, 12, 20, 11 ,15, 8​

Answer»

ANSWER:

Mode = 760/17

​i HOPE that it would HELP U and mark me as the brainiest

Step-by-step EXPLANATION:

34.

DO THISFind the zeroes of the quadratic polynomials given below. Find the sum and productof the zeroes and verify relationship to the coefficients of terms in the polynomial.(1) p(x) = x - x - 6 (ii) p(x) = x2 - 4x + 3(111) p(x) = x2-4(iv) p(x) = x2 + 2x + 1​

Answer»

ANSWER:

QUESTION at wrong

plz WRITE RIGHT question

35.

Find(+)÷(−) I =5/4,=-1/3

Answer»

u3uiri3i

Answer:

jrjjekkDkkdkme

Step-by-step explanation:

4iiE848eiwje

36.

Convert the rational numbers into decimal form a.1/2​

Answer»

ANSWER:

0.5 is the CORRECT answer

37.

X= rcosθ , Y= rsinθ then [∂y/∂r]x [∂y/∂r] θ

Answer»

Solution

Given :-

Three numbers are in the RATIO 3:4:5

the SUM of the largest and the smallest equals the sum of the third and 52

Find :-

These Number .

Explanation

Let, Number be

First Number be = 3X

Second Number be = 4X

Third Number be = 5x

Then, According to question,

➡ 3x + 5x = 5x + 52

➡8x = 5x + 52

➡8x - 5x = 52

➡3x = 52

➡x = 52/3

Hence

First Number will be = 3x = 3 × 52/3 = 52

Second Number will be = 4x = 4 × 52/3 = 208/3

Third Number will be = 5x = 5×52/3 = 260/3

_______________

Answer Verification

(the Sum of the largest and the smallest equals the sum of the third and 52)

➡3x + 5x = 5x + 52

Keep Value of x.

➡3 × 52/3 + 5 × 52/3 = 5 × 52/3 + 52

➡52 + 260/3 = 260 + 52

➡(156+260)/3 = (156 + 260)/3

➡416/3 = 416/3

L.H.S. = R.H.S.

___________________________________________________________

38.

Nuri father age is 49 years old . he is 4 years older than three time Nuri age . what is the age of nuritell with full explanationnote:- (nasrgirl do not answer)​

Answer»

Answer:

NURI is 15 years old

Step-by-step EXPLANATION:

LET 'a' be nuri's age

49 = 4 + 3a

45 = 3a

a = 15 years.

please RATE this answer! :D

39.

a shot put is a metallic sphere of radius 4.9cm if density of the metal is 7.8g/cubic cm. find the mass of shot put​

Answer»

Given :

To Find :

  • Mass of the shot put = ?

SOLUTION :

  • Radius of sphere = 4.9 cm
  • Density = 7.8 g/cm³

Let's find the volume of sphere :

→ Volume of sphere = 4/3 πr³

→ Volume of sphere = 4/3 × 22/7 × 4.9 × 4.9 × 4.9

→ Volume of sphere = 4/3 × 22 × 0.7 × 4.9 × 4.9

→ Volume of sphere = 4/3 × 22 × 16.8

→ Volume of sphere = 1478.4 ÷ 3

Volume of sphere = 492.8 cm³

  • Hence,the volume of sphere is 492.8 cm³.

Finding the mass of the shot put :

→ Density = Mass ÷ Volume

→ Density × Volume = Mass

→ Mass = 7.8 × 492.8

→ Mass = 3,843.84 g

Mass = 3.844 KG

  • Hence,the mass of the shotput is 3.844 kg.
40.

​ How much fencing is required to fence a rectangular garden of length 17m and width 24m?​

Answer»

\huge{ \underline{ \overline{ \mid{ \mathrm{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}

\begin{gathered} \bold{ \underline{ \green{ Given, }}} \\ \\ \texttt{ Length of the rectangular garden, l = 17 m} \\ \texttt{Breadth of the rectangular garden, b = 24 m }\end{gathered}

\begin{gathered} \bold {\underline{ \blue{ \: To \: \: \: \: find :- } \: }} \\ \\ \: \: \: \: \: \: \: \: \sf{How \: \: much \: \: fencing \: \: is \: \: required \: \: to \: \: enclose \: \: } \\ \: \: \: \: \sf{the \: \: rectangular \: \: garden. }\end{gathered}

\begin{gathered} \underline{ \sf{ \blue{ \: \: We \: \: know \: \: that, \: \: }}} \\ \\ \boxed{ \pink{ \bold{Perimeter \: \: of \: \: a \: \: rectangle = 2 \times (Length + Breadth)}}}\end{gathered}

\bold{ \underline{ \purple{ \: According \: \: to \: \: question, \: }}}

\begin{gathered} \sf{Perimeter \: \: of \: \: the \: \: rectangular \: \: garden = 2 \times (l + b)} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= \{2 \times (17 + 24) \} \: \: m } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = (2 \times 41) \: \: m} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = 82 \: \: m }\end{gathered}

\bold{ \therefore \: Perimeter \: \: of \: \: the \: \: rectangular \: \: garden = 82 \: \: m}

\begin{gathered} \: \: \: \: \: \: \: \: \: \texttt{Hence, \red{ \underline{82 metres}} of fencing is  required to } \\ \texttt{enclose a rectangular garden of length 17 m and } \\ \texttt{breadth 24 m.}\end{gathered}

41.

Find the dimensions of a rectangel whoae area is x²+3x-54 cm²​

Answer»

Step-by-step EXPLANATION:

THANK you so MUCH for the points

Solution above

42.

A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?​

Answer»

Answer:

1,002,062.25

Step-by-step EXPLANATION:

FOLLOW me GUYS

43.

Solution of 4x + 3 < 6x+ 7, X ∈ R is​

Answer»

ANSWER:

THEREFORE the value of X is (-2,INFINITY)

44.

Draw a Venn diagram of the given information in a hostel 165 students there are out which of 100 drink tea 80 drink coffee and 20 drink ang coffee booth​

Answer»

Step-by-step EXPLANATION:

So, it LIES between 0.1 and 0.2. (d) Here, 0.66 is more than 0.6 but LESS than 0.7.

45.

Convert 37 ° C into ° F​

Answer»

ANSWER:

(37°C × 9/5) + 32 = 98.6°F

46.

B.Find the range of the given data: 23,38,21,36,42,39,37,36,48,37​

Answer»

Answer:

23+38+21+36+42+39+37+36+48+37 WHOLE upon

10

= 357 DIVIDED by

10

=

Step-by-step explanation:

35.7

47.

Show that y = x²-2x+3 represent a parabola also find the vertex.No spam pls.Explain properly​​​

Answer»

ANSWER:

MARK as BRAINLIEST........

48.

Find the value of 32+log 35a)20b)30c)45​

Answer»

ANSWER:

20

hope this HELPS u

pls follow me and mark my answer as brainliest

49.

6. the number 45 is divisible by5 as well as 9O TrueO False​

Answer»

ANSWER:

True.

Step-by-step explanation:

45=5*9

45=9*5

Therefore, 45 DIVISIBLE by 5 and 9 .

50.

What is Sigma Notation?​

Answer»

\huge\boxed{\texttt{\fcolorbox{black}{pink}{Answer}}}

SIGMA notation is a method used to WRITE out a long sum in a concise way.

How to write stigma notation :

A series can be represented in a compact FORM, called summation or sigma notation.

The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n .

What does symbol mean :

The ∑ symbol means sum. ∑ is the Greek capital sigma character.

It is used commonly in algebraic functions, and you may also notice it in Excel - the AUTOSUM button has a sigma as its ICON.