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.

Prove that sin ^4 theta -cos^4 theta =1-2cos^2thet​

Answer»

To prove :

sin⁴ theta - cos⁴ theta = 1 - 2 cos² theta

Solution :

LHS -

sin⁴ theta - cos⁴ theta

=> [ sin² theta ] ² - [ cos² theta ] ²

We know that , a² - b³ can be written as (a + b)( a - b)

Utilising that identity here ;

=> [ sin² theta + cos ² theta ][ sin² theta - cos² theta]

Now , sin² theta + cos ² theta = 1

=> [ 1 ] [ sin² theta - cos ² theta ]

sin² theta + cos ² theta = 1

=> sin² theta = 1 - cos² theta

=> ( 1 - cos² theta ) - cos² theta

=> [ 1 - 2 cos ² theta ]

So ,

sin⁴ theta - cos⁴ theta = 1 - 2sin² theta = 1 - 2 cos² theta

Hence PROVED

____________________________________

2.

If P= Rs. 4000, Rate of Interest= 5%, Time= 1 year, find the compound Interest​

Answer»

Answer:

CI =₹200.

Step-by-step EXPLANATION:

hope it's useful mark me as BRAINLIEST and give me thanks ALSO......

3.

X - z=6, y-z=4, x+y+z=19?​

Answer»

Step-by-step EXPLANATION:

x - z + y - z = 10 \\ x + y = 10 - 2z \\ 19 - z = 10 - 2z \\ z =   - 9

PLEASE MAKE me BRAINLIST

4.

A skirt bought Rs 250 and sold at Rs 200.find the loss percentage

Answer»

Step-by-step EXPLANATION:

bahauhakwkskskeie9w8wiwiwiiwei

5.

காஷ்மீரில், ஒரு நாள் இரவின் வெப்ப நிலை -5 C. மறுநாள், அவ்வெப்பநிலை 9°C ஆகஉயர்ந்தது எனில், அதிகரித்த வெப்ப அளவினைக் காண்க​

Answer»

Step-by-step EXPLANATION:

The PROCESS in which a tadpole TURNS into a frog is CALLED metamorphosis, and it is an amazing TRANSFORMATION.

6.

Factorise 14 mn²(zm-m)​

Answer»

ANSWER:

what ???????

Step-by-step EXPLANATION:

?????????????????

7.

Solve हल कीजिए(8²)³8²8⁵8⁶8⁷​

Answer»

Answer:

8^6

by EXPONENTIAL LAW (a^m)n=a^mn

8.

Who is the father of decimal?????/who guysssss!

Answer»

Step-by-step EXPLANATION:

ARYABHATTA was the FATHER of DECIMAL

9.

Simplify (1 - cos 0) (1 + cos 0) (1+ coto)​

Answer»

ANSWER:

I HOPE it can HELP

HEHEH

10.

Volume of cylinder with r=3cm and h=9cm​

Answer»

Step-by-step explanation:

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Answer by

SOUMYA priyadarshini SAHOO

11.

(b) Obtain the standard form of the following Linear programming problem(LPP).Max 2 =5x1 +4x2 + 6x3, subject to the constraints3x1 + 4x2>4,3x1+2x2+x3 0.​

Answer»

Answer:

NAHI PTA mere KO answer.

kaise solve krte h mereko nhi ata bs POINTS mil rhe h toh mai collect KRR rha hu.

12.

1126I of 9" x 3² x 3 - (27) = 2 find thethe value(3 395 x 23of n 1​

Answer»

Can you imagine a world WITHOUT merchants, where we are LEFT to our own devices to acquire goods and SERVICES without middlemen? Sounds like a harsh place to be. The SALE and trade of goods defines much of the DEVELOPMENT and history of the world.

Please mark me as Brainlist.

13.

A man standing on the deck of a ship, 5m above the sea level, sees the top of a light house at an angle of elevation 70° and its foot at an angle of depression 30°.How far is the light house from the ship? Also calculate the height of the light house.​

Answer»

hai

you are a BTS ARMY

then PLZ FOLLOW me

and

our army

14.

The centroid of triangle formed by the vertices (-2,-3), (5,-2) (3,2) is​

Answer»

ANSWER:

(2,1) are the COORDINATES of CENTROID of the TRIANGLE

15.

How to divide 72 ÷ 3.6​

Answer»

ANSWER:

DIVIDE the answer with HAND and GET the answer

16.

Find the largest number that divides 222,  315 and  718 leaving remainder 5 in each case. ​

Answer»

Answer:

31

Step-by-step explanation:

222 , 315, and 718

leaves REMAINDER 5

222 - 5 = 217

315 - 5 = 310

718 - 5 = 713

we need to find out the HCF of 217, 310 and 713

217 = 7 × 31

310 = 2 × 5 × 31

713 = 23 × 31

therefore the HCF is = 31

31 divides 222, 315 and 718 leaving remainder of 5

Hope you get your answer

17.

Who was the old lady to jumman shaikh​

Answer»

Answer:

AUNT !!!

Step-by-step EXPLANATION:

please MARK as the BRAINLIEST please!!!

18.

A posi thue noo in stimes another number. Il 21 is addedto both the number than one of the new numbeus becotwice of other new numborso find the original numbeu​

Answer»

Step-by-step EXPLANATION:

your ANSWER in ATTACHMENT

19.

The longer side of a //gm is 5 more than the shorter side and the perimeter is 30 cm.find the sides​

Answer»

Answer:

GOOD MORNING my friend I have done for the FOLLOWING week and then I can do it like 21st and 22ND and I don't know what

20.

If Sn denotes the sum of first n terms of an A.P. If S2n = 5Sn, then prove 6/3=17/4​

Answer»

Step-by-step EXPLANATION:

do FL do do do to to HU babsbshfygdhhdzfztuorief

21.

The area of a circle that can be inscribed in a square of side 10 cm is?​

Answer»

ANSWER:

do bahshdjjfjfjgkgkkgkgkglt

22.

All the radii of a circle are​

Answer»

Answer:

ALL RADII OF A CIRCLE ARE EQUAL....

Step-by-step EXPLANATION:

HOPE IT HELP UH...✌✌

@LV02.......

23.

Simplify 2 2/3 × 2 1/5​

Answer»

Answer:

22/3 × 21/5

154/5

might HELP you

24.

if a line divides any two sides of a triangle in the same ratio, then prove that line is parallel to the third side.​

Answer»

Answer:

Given : The line l intersects the SIDES PQ and side PR of ΔPQR in the points M and N respectively such that

MQ

PM

=

NR

PN

and P−M−Q, P−N−R.

To Prove : Line l ∥ Side QR

Proof : Let us consider that line l is not parallel to the side QR. Then there must be another line passing through M which is parallel to the side QR.

Let line MK be that line.

Line MK intersects the side PR at K, (P−K−R)

In ΔPQR, line MK∥ side QR

MQ

PM

=

KR

PK

....(1) (B.P.T.)

But

MQ

PM

=

NR

PN

....(2) (Given)

KR

PK

=

NR

PN

[From (1) and (2)]

KR

PK+KR

=

NR

PN+NR

(P−K−R and P−N−R)

∴ the points K and N are not different.

∴ line MK and line MN coincide

∴ line MN∥ Side QR

Hence, the converse of B.P.T. is PROVED.

25.

If Sumo got marks of 23 out of 40 in maths and how many percentage that that he get got​

Answer»

ANSWER:

MARKS OBTAINED by sumo = 23/40

percentage = 23/40 X 100

percentage = 115/2 = 57.5%

answer is 57. 5 %

26.

Solve for xplz help​

Answer»

ANSWER:

okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk I GIVE your answer FIRST MARK my answer BRILLIANCE

27.

State the name of a regular polygon of 6 side​

Answer»

ANSWER:

hexagon

Step-by-step EXPLANATION:

28.

Express first quantity as a percentage second 12Rs,84Rs​

Answer»

Answer:

a ) 48 seconds, 5 minutes

=

5∗60

48

×100%

=16%

B) 63 CENTS, 9 dollers

1 doller=100 cents

9 dollers=900 cents

Ans =

900

63

×100%

=7%

C) 7mm, 2cm

1 cm=10 mm

2 cm=20 mm

Ans =

20

7

×100%

=35%

d) 24 min, 10 hours

1 hour= 60 min

10 hour= 600 min

Ans =

600

24

×100%

=4%.

29.

What percent of 3 kg is 450 grams?​

Answer»

Answer:

3 KG = 3000 g

So, X of 3000 g = 450 g

x*1/100*3000 = 450

X = 15 %

Step-by-step explanation:

helpful

plz brainliest

30.

Find the length of a chord which is at a distance from center​

Answer»

Answer:

Draw a segment perpendicular to the CHORD from the center, and this line will bisect the chord. Setting up the Pythagorean Theorem with the radius as the hypotenuse and the distance as ONE of the legs, we solve for the other leg. Since this leg is half of the chord, the TOTAL chord length is 2 times that, or 9.798.

31.

If a and b are the roots of equation 2x²+4x-5=0then find a+b and ab​

Answer»

Answer:

Step-by-step EXPLANATION:

If alfa and beta are ROOTS of equation then we know that

alfa + beta = -b/a

= -4/2

= -2

a + b = -2

alfa x beta = c/a

= -5/2

ab = -5/2

PLZ MARK ME BRAINLIEST

32.

Log x = log 0.04571 ÷ log 0.02154​

Answer»

Answer:

what do we have to do

Step-by-step explanation:

with the given QUESTION my DEAR FRND...

33.

Value of 3 • 5 -2= 2 3.​

Answer»

ANSWER:

Your search - value of 3 • 5 -2= 2 3. - did not match any QUESTIONS ..

Suggestions:

Make SURE that all words are spelled correctly.

Try different keywords.

Try more general keywords.

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34.

Find the product of (ab-1) ( c-d)​

Answer»

ANSWER:

the PRODUCT of it

abc-abd-c+d

35.

4. Why product (- 9) * (-5) X (-6) is negative while(- 9) * (-5) (- 6) X(-1) is positive? Give reason.5. Find the sign of product if we multiply together(a) 8 positive and 5 negative integers.(b) 5 positive and 6 negative integers.(c) 7 negative and 4 positive numbers.6. Which one is greater1) or (4) × (-2X (-1)​

Answer»

Answer:

See it's very SIMPLE when we multiply (-) with (-) we get a positive answer

example- (-5)*(-6) = +30

and when we multiply (-) with (+) we get a negative answer

ex- (-5)*(6) = -30

now as PER your question

(-9)* (-5) * (-6) = (- 9 * - 5) * (-6) = +45 * (-6) = -270

and

(-9)* (-5) (-6) * (-1) = (-9) * (-11) * (-1) = (-9) * ( -11 * -1) = (-9) * (11) = -99

see the answer is still negative because you have not put multiplication sign in your question between -5 and -6 could be by mistake .

But if you TRY by applying multiplication sign we get a positive answer.

36.

Solve quadratic equation using formula and square m square - 14 m + 13 is equals to zero​

Answer»

ANSWER:

m = 1,13

Step-by-step EXPLANATION:

m^2 - 14m +13=0

=> m^2 -13M - m +13=0

=> m(m-13) -1(m-13)=0

=>(m-1)(m-13)=0

m=1,13

Hope it helps

Please MARK BRAINLIEST

37.

The sum of all the angles of a quadrilateral is equal to:​

Answer»

Step-by-step EXPLANATION:

ANGLE of 90 DEGREE OKKK

38.

Simplify: 1057+(970)+56+(38) find the answer​

Answer»

1057+(970)+56+(38)=

2,121

this is the ANSWER

39.

Sec A(1-sin A) sec A+tan=?​

Answer»

ANSWER:

s8usige of t OJ SELF PAR KEL

40.

state which of the following equation are linear equation in two variable and express them in the standard form ax+by+c =0 and indicate the value of a,b and c in each (1) y=2x+5 (2) 3/2x + 7/2y =1 (3)2y²+2x=2 (4) x/3 -4/y = 2​

Answer»

ANSWER:

tkekekfkdksslflrotkrqkkscjfjfjekrititiski2983487t. i i diwi3u4u4u8318rfu H J jdiwiei4i3irjffjejd. naodjsifkdjfjdusufuueurufufdusidkeov

41.

Plz help me in this question6(2a+3b)^2-8(2a+3b)do not spam !!!!serious questionplz help me(fast)​

Answer»

Step-by-step EXPLANATION:

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42.

*श्रुती आणि कविता यांच्या आजच्या वयांची बेरीज 31 वर्षे आहे 3 वर्षापूर्वी श्रुतीचे वय कविताच्या त्या वेळच्या वयाच्या चौपट होते, तर त्या दोघींची आजची वये काय?*1️⃣ श्रुती 23, कविता 82️⃣ श्रुती 24, कविता 73️⃣ श्रुती 25, कविता 64️⃣ श्रुती 22, कविता 9​

Answer»

ANSWER:

Step-by-step explanation:

TAKE free PTS....for more free points follow us [email protected]

those who FOLLOWED us will be followed back​

43.

all the world's a stage , and all the women and men merely players - what are the poetic devices in this​

Answer»

Step-by-step explanation:

Indirect SPEECH is a means of EXPRESSING the content of statements, questions or other utterances, without quoting them explicitly as is done in direct speech. For EXAMPLE, He said "I'm coming" is direct speech, whereas He said he was coming is indirect speech.

44.

a card is drawn at random from a pack of 52 cards find the probability that the card drawn is nither black nor red

Answer»

ANSWER:

0 is the CORRECT answer

45.

Find value of mode in given data 3,4,1,4,3,6,03,3,2,6,1​

Answer»

ANSWER:

rueueururrhrhdhhddhehehenejndnndnendnddnnddn

46.

Express first quantity as a percentage of the 12Rs,84Rs​

Answer»

Step-by-step EXPLANATION:

=12/84×100

=100/7%

=15.71%

47.

( 0, 0 ) and ( 0, a) this point in distance?ans:- a) '0' unitb) 'a' unitc) '10' unitd) 'a²' unit​

Answer»

ANSWER:

Option B 'a' unit is the PERFECT and accurate answer

Step-by-step explanation:

SEE the PICTURE for the explanation ☺️

I hope it might be helpful

48.

35% of the students in a school of Biotechnology are majoring in Industrial Biotechnology, 20% inCancer Biology, 30% in Environmental Biotechnology, and 15% in Nano Biotechnology. If the datais represented through pie chart, then what will be the minimum angle at center (in degree)​

Answer»

ANSWER:

TAKE a picture of your QUESTIONS and post it on the phone.........

Step-by-step EXPLANATION:

49.

The scale on a map is 1:20,000. What actualdistance does a length of 8 cm on the maprepresent?​

Answer»

ANSWER:

8 CM is your answer PLEASE

50.

If a =11π÷4find the numerical value of sin2 a - cos2 a + 2 tan a – sec2 a.​

Answer»

QUESTION:-

if θ = \large\rm \dfrac{11\pi}{4} , then FIND the NUMERICAL VALUE of

\large\rm{ \sin^2 \theta - \cos^2\theta + 2 \ \tan\theta - \sec^2 \theta}

Answer:

\large\rm{ \theta = \dfrac{11\pi}{4} = \Bigg ( 3 \pi - \dfrac{\pi}{4} \Bigg ) }

❥evaluation for sinθ

\large\rm{ \sin\theta = \sin \Bigg ( 3 \pi - \dfrac{\pi}{4} \Bigg ) }

\large\rm = \sin \dfrac{\pi}{4}

\large\rm = \sin 45^{\circ}

\large\rm = \dfrac{1}{\sqrt{2}}

now sinθ \large\rm = \dfrac{1}{\sqrt{2}}

\large\rm{ \therefore \sin^2 \theta = \dfrac{1}{2} }

❥evaluation for cosθ

\large\rm{ \cos\theta = \cos \Bigg ( 3 \pi - \dfrac{\pi}{4} \Bigg ) }

\large\rm{ = - \cos \dfrac{\pi}{4} }

\large\rm{ = - \cos 45^{\circ}}

\large\rm{ \cos\theta = - \dfrac{1}{\sqrt{2}}}

\large\rm{ \therefore \cos^2 \theta = \dfrac{1}{2} }

❥evaluation for tanθ

\large\rm{ \tan\theta = \tan \Bigg ( 3 \pi - \dfrac{\pi}{4} \Bigg ) }

\large\rm{ = - \tan \dfrac{\pi}{4} }

\large\rm{ = - \tan 45^{\circ}}

\large\rm{ \tan\theta = - 1}

\large\rm{ \therefore 2 \tan\theta = -2}

now REQUIRED numerical value

\large\rm{ \dfrac{1}{2} - \dfrac{1}{2} - 2 - 2}

\large\fbox{\rm{ = -4}}