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 Arithmetic mean of first 8 number ​

Answer»

Answer:

Step-by-step explanation:

plz mark as BRAINLIEST answer and thx for the brilliant question

FIRST 8 prime no. = 2, 3, 5, 7, 11, 13, 17, 19.

Mean = SUM of all observations/total no. of observation

= (2+3+5+7+11+13+17+19)/8

= 77/8

= 9.625

So, mean of first 8 prime number = 9.625

2.

Tan2 x – sin2x = tan2 x sin2 x​

Answer»

We have to prove that (tan x)^2 - (sin x)^2 = (tan x)^2 * (sin x)^2

Start from the LEFT HAND side:

(tan x)^2 - (sin x)^2

use tan x = sin x / COS x

(sin x)^2/(cos x)^2 - (sin x)^2

=> [(sin x)^2 - (sin x)^2*(cos x)^2]/(cos x)^2

=> (sin x)^2[1 - (cos x)^2]/(cos x)^2

=> (sin x)^2 * [(sin x)^2 / (cos x)^2]

=> (tan x)^2 * (sin x)^2

which is the right hand side.

This PROVES that (tan x)^2 - (sin x)^2 = (tan x)^2 * (sin x)^2

HOPE THIS HELPS PLZ MARK AS BRAINLIEST

3.

Write the equation of line parallel to X - axis at a distance of 3 units from it andabove the X-axis.​

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ANSWER:

bisdffhg

Step-by-step EXPLANATION:

4.

If there is 910 pages in a book how many pages in 21 such books​

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.................................... . .. ......................

PLZ REPORT

5.

let abc be a triangle with Angle bac = 70 degree and Angle acb = 80 degree f is a point inside the triangle such that Angle fba = fcb = 20degree find Angle afb​

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ANSWER:

angle AFB = 140°

Step-by-step explanation:

F is a point inside the circle

hence a TRIANGLE FCB is formed angle FBA +angleFCB +angle AFB = 180° when we CALCULATE this we get angle AFB = 140°

6.

Please give me the answer of it I have exam yesterday I will make it as brainlist answer​

Answer»

Step-by-step EXPLANATION:

SORRY but I don't KNOW this ANS

7.

If x + y = 9 and x² + y = 51, find the following: x - y​

Answer»

Answer:

-21 or 5

Explanation: USING quadratic equation and formulae, 2 POSSIBLE ANSWERS are obtained (in Picture)

8.

Can you please solve this√2(sinx+cosx) = √3

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Step-by-step explanation:

Given:

2(sinx + cosx) = √3

Squaring both the sides

2(sinx+cosx)^2 = 3

or (sinx +cosx)^2 = 3/2

or sin^2 X + cos^2x +2SinxCosx = 3/2

or 1 + 2SinxCosx = 3/2

or 2 SinXCosX = 3/2 -1

or 2SinxCosX = 3-2/2

or 2 SinXCosX = 1/2.....(1)

Now LHS = √2(sinx + cosx)

or 2(sinx+cosx)^2

or 2(sin^2x + cos^2x +2SinxCosx)

or 2(1+ 2SinxCosx)

or 2 + 4SinXCosX

or 2 + 2(2SinxCosx)

or 2 + 2(1/2) (from 1)

or 2 +1 = 3 = RHS....... Answer

KINDLY MARK THE ANSWER AS BRAINLIEST.

9.

a car covers for 420 km in 3 hours 20 minutes how much time will it take to cover a distance of 80 kilometre​

Answer»

Step-by-step EXPLANATION:

HEY MATE here is your ANSWER

10.

Draw triangle ABC in whichBC=4.5cm and angleB=45°,AB+AC =7cm​

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ANSWER:

this is what I know

if it is WRONG PARDON me

11.

If 5 sin - 12 cos= 0, then find the value of tan​

Answer»

ANSWER:

DIVIDE both SIDE by cos

5 TAN -12=0

tan=12/5

12.

In the given Fig. If ABIICD , BPQ =(5x-20) and PQD = 2x-10 find thevalue of Y and Z​

Answer»

Step-by-step EXPLANATION:

dear I will SOLVE it first gave me the diagram

fastly ..

..

..

OK .

13.

(iii)124 x 93 x4² x 82 x 27simplify please haaa.... ​

Answer»

Answer:

408,509,568

I THINK this MIGHT be HELPFUL to you

14.

. Convert the(a) 194°F3. Convert to Celsius into Fahrenheit 194 ​

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\huge{\blue{\boxed{\boxed{\boxed{\pink{\underline{\underline{\mathfrak{\red{♡ĂnSwer♡}}}}}}}}}}

C/5 = (F - 32)/ 9

C = {( 194 - 32 )× 5}/ 9

C = 18 × 5

C = 90

I HOPE IT WILL HELPS U...

plzz mark as brainlist....☺️☺️☺️

15.

Find the value of x so that 4x -2:2: : 2x+ 2:4​

Answer»

FINDING the VALUE:

Step-by-step explanation:

\ Given \ that\\\\4x-2 : 2 \ : \ : 2x+2 :4\\\\\ <klux>FIND</klux>:\\\\<klux>X</klux>= ?\\\\

\ solve:\\\\4x-2 : 2 \ : \ : 2x+2 :4\\\\\frac{4x-2}{2} \ = \frac{2x+2}{4}\\\\(4x-2) \times \ 4 \ = (2x+2) \times 2\\\\(16x-8) \ = (4x+4) \\\\

\ o pen  \ brackets \\\\

16x-8 \ = 4x+4 \\\\16x-4x=8+4\\\\12x=12\\\\x=\frac{12}{12}\\\\x=1

learn more:

16.

What comes next?a) A, F, J, N,__​

Answer»

ANSWER:

R IS THE RIGHT ANSWER MARK IT AS BRAINLIEST

17.

Cos150 +sin210 +sin^2 150 +cos^2 120Find its numerical value using CAST rule

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ANSWER:

the answer is NEGATIVE

Step-by-step EXPLANATION:

-0.366

18.

Prime factorisation of 99856​

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Step-by-step EXPLANATION:

HOPE you UNDERSTOOD the ANSWER

19.

padmavathi speaks the truth 3 times out of 4 and vareesha speaks the truth 7 times out of 10. both of them assert that a white hat has been removed from a basket containining hats of 6 different colours. what is the probability of finding the white hat in the busket

Answer»

Step-by-step explanation:

GIVEN  Padmavathi speaks the truth 3 TIMES out of 4 and vareesha speaks the truth 7 times out of 10. both of them ASSERT that a white hat has been removed from a basket containing hats of 6 different colours. what is the probability of finding the white hat in the basket

  • P(A) (truth) = 3/4
  • P(A) (lies) = 1/4
  • P(B) (truth) = 7/10
  • P(B) (lies) = 3/10
  • Now P(M) = 1/6 X 3/4 x 7/10  
  •                = 21 / 240
  • Suppose C is an event
  • So P( C ) = 1/4 x 1/5
  •              = 1/20
  • P(D) = 3/10 x 1/5
  •        = 3/50
  • P(N) = 1/20 x 3/50 x 5/6
  •         = 1/400
  • So P(W) = P(M) / P(M) + P(N)
  •              = 21 / 240 / 21 / 240 + 1/400
  •            = 7/80 / 7/80 + 1/400
  •          = 7/80 / 35 + 1 / 400
  •           = 35 / 36

Reference link will be

brainly.in/question/5899169

20.

Base 4.2 amHeight - 25cm. find find the area of a parallelogram ​

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ANSWER:

MARK as BRAINLIEST..........

21.

Out of 35 children in a class,15 are girls what is the percentage of girls

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ANSWER:

the answer is 42.8%.........(APPROXIMATELY )

hope it helps...

hope U will get it

if ys mark as BRAINLIEST

22.

Sin thita ko sec thita me yakat karesin theta cos theta ​

Answer»

{sin}^{2}  x +  {cos}^{2} x = 1 \\  {sin}^{2} x = 1 -  {cos}^{2} x \\  {sin}^{2} x = 1 -  \frac{1}{ {sec}^{2} x}  \:  \:  \:  \:  \:  \: ... \: (cosx =  \frac{1}{secx} ) \\  {sin}^{2} x =  \frac{ {sec}^{2} x - 1}{ {sec}^{2}x }  \\  \\ taking \: square \: roots \: on \: both \: sides \\  \\ sinx =  \sqrt{ \frac{ {sec}^{2}x - 1 }{ {sec}^{2} x} }  \\ sinx =  \frac{ \sqrt{ {sec}^{2}x - 1 } }{secx}

23.

in figure ABCD is a parallelogram and CE perpendicular to AD ,DF perpendicular to AB. if AD is 20m, CE is 8m, AB is 16m find DF ​

Answer»

Answer:

10 CM

Step-by-step EXPLANATION:

AR ABCD

DF = 20*18÷16

24.

Tell me about circle​

Answer»

ANSWER:

A circle is a shape CONSISTING of all points in a plane that are a given DISTANCE from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

Area: π× (radius)²

Circumference: 2π X radius

Diameter: 2 x radius

Number of vertices: 0

Number of edges: 0

Step-by-step explanation:

mark as brillianties please

25.

Find the sum of 5x^2,-3x^2,7x^2 and -2x^2​

Answer»

{\Huge{\underline{\underline{\mathfrak{\green{Answer}}}}}}

ATQ,

=  {5x}^{2}  + ( -  {3x}^{2} ) +  {7x}^{2}  + ( { - 2x}^{2} )  \\  =  {5x}^{2} -  {3x}^{2}   +  {7x}^{2}  -  {2x}^{2}  \\  =  {2x}^{2}  + {5x}^{2}  \\  =  {7x}^{2}

#Sumedhian

26.

Factorise the expressions and divide64(x4– 5x3– 24x2) ÷ (16 x2-128x)​

Answer»

SIMPLIFY:

Step-by-step EXPLANATION:

\ Given \ that: \\\\\ 64(x^4-5x^3-24x^2) \div (16x^2-128x)\\\\\ slove:\\\\\rightarrow \frac {64(x^4-5x^3-24x^2)} {(16x^2-128x)}\\\\\ common \ value \ from \ numerator \ and \ denominator \ part: \\\\\rightarrow \frac {64x(x^3-5x^2-24x)} {16x(x-8)}\\\\\rightarrow \frac {4(x^3-5x^2-24x)} {(x-8)}\\\\\rightarrow \frac {4x(x^2-5x-24)} {(x-8)}\\\\\rightarrow \frac {4x(x^2-(8-3)x-24)} {(x-8)}\\\\\rightarrow \frac {4x(x^2-8x+3x-24)} {(x-8)}\\\\\rightarrow \frac {4x(x(x-8)+3(x-8))} {(x-8)}\\\\

\rightarrow \frac {4x(x-8)(x+3)} {(x-8)}\\\\\rightarrow 4x(x+3)\\\\

LEARN more:

27.

Express its simplest form 186/403

Answer»

CHECK the IMAGE HOPE it will HELP you

28.

What must be subtracted from​

Answer»

-2xy+3yz+6zx

xy +YZ +zx=-3xy+2yz-5zx

29.

Tell me about quadrilateral​

Answer»

A QUADRILATERAL IS A FIGURE HAVING 4 SIDES JOINING EACH OTHER AT THEIR VERTICES

HOPE THIS HELPS

30.

Convert the following into to decimal 3 3/8 Answer with formula ​

Answer»

ANSWER:

The answer in DECIMAL is :

4.125

31.

Find square root 274 by long division method​

Answer»

Given \: number \: \sqrt{274}

1 | 274.000000 ( 16.5529

×1| 1

________

26 | 174

×6 | 156

________

325| 1800

**×5| 1625

_________

3305 | 17500

****×5 | 16625

____________

33102| 97500

****×2 | 66204

____________

331049 | 31296

THEREFORE.,

\red { \sqrt{274}} \green { ≈ 16.552}

•••♪

32.

Explain trignometry formulae​

Answer»

Step-by-step explanation:

concerned with specific functions of angles and their application to calculations. There are six functions of an angle COMMONLY used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (TAN), cotangent (cot), secant (sec), and cosecant (csc). These six trigonometric functions in relation to a right TRIANGLE are displayed in the figure. For example, the triangle contains an angle A, and the ratio of the SIDE opposite to A and the side opposite to the right angle (the hypotenuse) is called the sine of A, or sin A; the other trigonometry functions are defined similarly. These functions are properties of the angle A independent of the size of the triangle, and calculated values were tabulated for many angles before computers made trigonometry tables OBSOLETE. Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures.

MARK AS BRAINLIST

33.

Tell me about triangles ​

Answer»

Answer:

A triangle is a POLYGON with THREE edges and three vertices. It is ONE of the basic shapes in GEOMETRY. A triangle with vertices A, B, and C is denoted. In Euclidean geometry any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Step-by-step explanation:

mark as brillianties please

34.

If its circumfereneFind the radius of a whenis 3,56 urmمسلط​

Answer»

FIND the radius:

Step-by-step explanation:

\ Given \ that: \\\\\ <klux>CIRCUMFERENCE</klux> \ = 356 urm\\\\\ find:  \ radius =?\\\\\ <klux>FORMULA</klux>: \\\\C= 2 \pi \ r\\\\\ r= \frac{C}{2 \pi}\\\\\because \pi = \ 3.14\\\\\ r=  \frac{356}{2\times 3.14}\\\\\ r= \frac{178}{3.14}\\\\\ r= 56.687\\\\

LEARN more:

35.

please answer 16,17,18 questions with explanations. (for them only I can mark as brainlist answer). I will also follow you ​

Answer»

Answer:

send the PHOTO LITTLE BIT of CLEAR

36.

Angle P and angle Q are supplementary angles. Given P is equal to 1/8 of Q. Calculate the value of Q

Answer»

Answer:

answer - measure of ANGLE Q is 160 degree

37.

Answer this problem step by step.​

Answer»

Step-by-step EXPLANATION:

HOPE it helps you please MARK me brainlist

38.

Area of a rectangular park is 600m square if its length is 200 cm find its width.​

Answer»

it MAY HELP your problem

Step-by-step explanation:

using RECTANGLE FORMULA.

39.

Please ans send me send kardo​

Answer»

ANSWER:

answer is 17 and 14 MARK as BRAINLIEST

40.

3-(2m-5)-4m=-m-10 Solve it fast please Class vi question​

Answer»

Step-by-step explanation:

sorry par MUJHE ANSWER nahi pata

41.

javid is three times as old as his son 5 years later he will be two and half times as old as his son find the present age of javid and his son​

Answer»

Answer:

javed age is 45 years and son age is 15 years

Step-by-step explanation:

let  father age is X

and son age is y

so according to QUESTION

x =3y   or x-3y =0                             (i)

after 5 years  x+5  = (y+5)*5/2

   x + 5 =  ( x /3 + 5 ) *5/2     (as y = x/3)

   x + 5  = ( x + 15 ) * 5/6

6 x + 30  = 5 x + 75

6x -5X = 45

x =45 years

y = 15 years

42.

What is order of determinant .plz explain me fast ​

Answer»

EXPLANATION:

ORDER is as FOLLOWS

ad-bc

43.

00:33:43MCQ QUESTIONSQuestiontub contains a solution with 83% water and 17% spirit. 10 litres of the solution is removed and replaced with water. The proportion of spietsmuch does the tub hold?70 litres​

Answer»

ANSWER:

Step-by-step EXPLANATION:

,HOUK,J

44.

Please solve this the answers written in boxes are wrong​

Answer»

From the FIGURE

LET the height perpedicular at AM be O

WKT

M is the mid POINT

so,

AM=MB (i)

In triangle AMC

½*b*h

½*AM*CO ------- (ii)

In triangle BMC

½*b*h

½*AM*CO ------(iii)

On solving (ii) and (iii), we get

Ar. of triangleAMC=Ar. of triangleBMC

Hence proved

Hope this HELPS you......

45.

the wheat sold by a grocer contained 10percent low quality kgs of wheat should be added to 150 kgs of low quality wheat became 5percent​

Answer»

Step-by-step EXPLANATION:

I didn't UNDERSTOOD your QUESTION

46.

Find the area of a triangle whose sides are of 5m,7m,8m​

Answer»

Answer:

20 SQ m is your answer

hope it HELPS!!!

47.

Write the equation of a line which is parallel to the line whose equation is 5x -3 Y + 11 = 0​

Answer»

Step-by-step EXPLANATION:

As in PARALLEL LINES,

A1/A2 =B1/B2 not equal to C1/C2

we need to write the equation ,

the second equation is,

10x-6y-12=0

VERIFICATION,

A1/A2 , B1/B2 , C1/C2

5/10 (-3)/(-6) 11/(-12)

1/2 1/2 -11/12

thus,A1/A2=B1/B2 not equal to C1/C2

therefore ,10x-6y-12=0 is true equation

48.

the length of a balcony is 20 metre and breadth is 18 metre it is it is also to be with brakes of land 22.5 cm and breadth is 10 centimetre find the number of bricks required​

Answer»

Step-by-step explanation:

balcony

length = 20 METERS = 200*100=2000 cm.

breadth=18 meters=18*100=1800 cm.

BRICKS

length=22.5 cm = 225/10 cm

breadth = 10 cm

number of bricks = AREA of balcony / area of BRICK

= 2000*1800/22.5*10

=2000*1800/(225/10)*10

=2000*1800/225

=1600 bricks

49.

X -4=3,x=-1,7,-7 answer the question​

Answer»

ANSWER: x=7

Step-by-step EXPLANATION:

50.

00:34:43MCQUESTIONSQuestionh ePadmavati speaks the truth 3 times out of 4 and Vareha speaks the truth times out oftcontaining hats of 6 oferent coloursWhat is the probability of finding the white hat in the basket at?​

Answer»

ANSWER:

my answer is my ANSWERS NONE of you answer