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.

55. The length of the shadow of a tower standing on level ground is found to be2x m longer when the Sun's altitude is 30°than when it was 45°. Prove that the height​

Answer»

Step-by-step EXPLANATION:

LET H be the HEIGHT of the tower.

In ΔABC,

BCAB=tan45∘

yh=1

h=y

In ΔABD,

BDAB=tan30∘

2x+yh=31

2x+y=3h

2x+h=3h

h=3−12x

h=(3+1)XMETERS

2.

Simplify 21b + 7b - 20b-11b+13b.​

Answer» ONG>Step-by-step EXPLANATION:

HOPE it's HELP you..:-)

3.

Prove that the median of a triangle are congruent

Answer» ONG>Answer:

HELLO how are you all

plz subscribe my CHANNEL and like also on you tube

.

HOPE u liked it

4.

All the Multiples of 6 that lie between 54 and 70

Answer» ONG>Answer:

54 , 60 AND 66 ARE THE MULTIPLES OF 6 BETWEEN 54 AND 70

5.

Find IDFS For (k) = [4, J3, -j3], N = 3.

Answer»

ong>ANSWER:

HI ji by ji ki ji NU jina ji ji ji nu jina ji hy fu GH hy ji ji hu

6.

M-m-1/2=1-m-2/3 answer ​

Answer»

HERE IS YOUR ANSWER .

I HOPE IT MAY HELP YOU .

PLEASE MARK ME AS A BRAINLIEST .

THANK YOU

7.

Plg tell me ans.with full solution​

Answer» R to the ATTACHMENT PROVIDED
8.

SoFind the local maximum and minimum valuesf(theta) = sin theta [0,pi]​

Answer» ONG>ANSWER:

Sorry I dont know the answer

9.

Find the greater of the following two ratio:1215‚2124​

Answer» ONG>ANSWER:

here is UR answer

2124.

10.

DatePage.SolveConvert into paisa ​

Answer»

ong>Step-by-step EXPLANATION:

YEHI I have to get up at my PLACE or

11.

3. In rhombus ABCD, prove triangle ABC is congruent to triangle ADC​

Answer» ONG>Answer:

you gfhjjrwc the the video WRITE same time as WELL as the registered player whether the USE of the electroplating the the video write same time as well as the registered player whether the

12.

1. Consider the line passing through the points (1.3) and (4,9). a) What is the slope of the line ?b) What is the equation of the line ?c) Find the coordinates of the point at which the line cuts the x-axis ?​

Answer»

em>ANSWER :-

a.) SLOPE of the line = \dfrac{2}{1} \:\:\text{or}\:\:2

b.) Equation of the line - y = 2x + 1

c.) The coordinates of the point at which the line cuts the x-AXIS is (-0.5, 0)

Solution :-

LET the points be A(1,3) and B(4,9).

Here,

x_1= 1,\:\:\:\:x_2=4\\y_1 = 3,\:\:\:\:y_2=9

a.) Slope of the line = \dfrac{y_2-y_1}{x_2-x_1}

Slope of the line AB = \dfrac{9-3}{4-1} = \dfrac{6}{3}= \dfrac{2}{1} \:\:\text{or}\:\:2

b.) Equation of the line - y - y_1=m(x - x_1)

y = y coordinate of second point  

m = slope  

x = x coordinate of second point

=> y - 3=2(x-1)

=> y - 3 = 2x -2

=> y = 2x - 2 + 3

=> y = 2x + 1

c.) It is given in the question that we have to find the coordinates of the point at which the line cuts the x-axis. This indicates that y- coordinate of that point is 0 because it cuts x - axis.

=> y = 2x + 1

=> 0 = 2x + 1

=> -1 = 2x

=> \dfrac{-1}{2} =x

=> -0.5 = x

The point is - (-0.5, 0)

13.

An equivalent fraction of 6/11​

Answer» ONG>ANSWER:

\frac{12}{22}

Step-by-step EXPLANATION:

MULTIPLY

\frac{6}{11}  \times  \frac{2}{2}

14.

8-x___ = 5 solve 2 ​

Answer» ONG>ANSWER:

! -2! is the answer of the QUESTION

15.

Multiples of 6 that lie between 54 and 70

Answer» ONG>Answer:

54,60,66 was LIES between 54 and 70.

Step-by-step EXPLANATION:

hope it will HELP you.

16.

A toy is in the form of a cone mounted on a hemisphere with the some radius is as shown in the figure. If the diameter of the conical portion is 6cm and itsheight is 4em, then find the surface area of the toy.4cm3cm3cmBA Аth​

Answer»

ong>Answer:

SLANT height of the conical part is 5cm. Now TOTAL surface area of toy equals to sum of Curved surface area of cone and curved surface area of HEMISPHERE. = 103.72cm^2(approx.) Therefore the T.S.A. of the toy is 103.72cmsq.

17.

2Write the degree of the following polynomials.√3 x - x + 4​

Answer» RONG>ANSWER:

PLEASE MARK ME AS BRAINLIEST

18.

• Aright angle triangle measures 4cm by 5cm. Measure the length of its hypotenuse.

Answer»

ong>Step-by-step explanation:

the EASY WAY to do this question

19.

use the following digits to write the smallest and the greatest number you can form . use each digit only once . The number should not start with 0. 9,8,6,0,5,4,1​

Answer» ONG>Step-by-step EXPLANATION:

GREATEST NUMBER 9865410

smallest number 1045689

20.

1. A balloon is connected to a meteorological station by a cable of length 200 metres, inclined at 60° to the horizontal. Determine the height of the balloon from the ground, assuming thatthere is no in the string. (Take √3 = 1.73)​

Answer» ONG>Step-by-step EXPLANATION:

i THINK this is the ANSWER

21.

An equivalent fraction of 4/5 is​

Answer» ONG>Answer:

8/10, 12/15, 16/20, 20/25, 24/30, 28/35, 38/40, 36/45, 40/50

Step-by-step explanation:

4/5×2/2=8/10

4/5×3/3=12/15

4/5×4/4=16/20

4/5×5/5=20/25

4/5×6/6=24/30

4/5×7/7=28/35

4/5×8/8=32/40

4/5×9/9=36/45

4/5×10/10=40/50

This is because if u DIVIDE all the FRACTION multiples u will get 4/5 in each CASE.

22.

Show that Sin 5x + Sin 3x / Cos 5x + Cos 3x = tan 4x​

Answer» ONG>ANSWER:

Step-by-step EXPLANATION:

23.

Consider the following parallelogram ABCD. Find the values of the unknown y and z.

Answer»

ong>Answer:

  • y = 50°
  • Z = 50°

Explanation:

Let the POINT of intersection of the two diagonals AC and BD = O

P.F.A the figure below for REFERENCE of angles

Given:

A PARALLELOGRAM ABCD in which:

  • ∠BCO = 40°
  • ∠CBO = y
  • ∠BOC = 90°
  • ∠ADO = z

To find:

  • The value of y and z

Proof:

In ΔBOC,

∠CBO + ∠BCO + ∠BOC = 180°                  (Angle Sum Property of Δ)

⇒ y + 40° + 90° = 180°

(Given, ∠BCO = 40°, ∠CBO = y, ∠BOC = 90°, ∠ADO = z)

⇒ y + 130° = 180°

⇒ y = 180° - 130°

⇒ y = 50°

Now, y = 50° = z            ( When AD || BC and BD is the transversal, Alternate

                                         interior angles are equal )

Hence,

  • y = 50°
  • z = 50°

Proved.

Hope you got that.

Thank you.

24.

A man gave of his savings to his ​

Answer» ONG>Answer:

20000

Step-by-step EXPLANATION:

25.

Onr number from 10 to 20 is written on each card select one card randomly​

Answer»

ANSWER

Step-by-step explanation:

There are 11 CARDS NUMBERED from 10 to 20. ∴ There are 11 possibilities in a RANDOM experiment of selecting one card from the given set of cards.

26.

X + y = 2, x - y =ii) Solve the quadratic equation 2x2 + 5x + 2 = 0 using formula method.Find how mthree digit natural numbers are divisible by 5​

Answer» ONG>Answer:

Answer Answer in in question for me to as to what I NEED to need to PROVIDE

27.

There are 20 boys and y girls in class. The total number of students is given by ---------​

Answer»

ong>Answer:

<U>Hope it helps!! Mark this answer as brainliest if u FOUND it useful and follow me for quick and ACCURATE answers...

Step-by-step explanation:

20+y

28.

Solve this.... related to triangles.​

Answer»

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29.

Diagonals of a ABCD intersect in point Q. If 2QA = QC , 20B = QDProve that: DC = 2AB.​

Answer» ONG>Step-by-step explanation:

PLEASE GIVE me THANKS and mark me brilient ☺️

30.

1. Fill in the blaS.1) (- 12 x) x 3y2​

Answer» ONG>Answer:

SORRY BRO i don't know what you have written

31.

SemDraw a lime lengthdivide this lineration 2:3in the​

Answer» ONG>Answer:

6 will be the answer

Step-by-step EXPLANATION:

because

6 is the number which divided by both 2 and 3

6÷2=3

6÷3=2

32.

A) ✓3+(✓2+✓3)b) ✓2×(1+2✓3)c) ✓8×✓0.5+✓2)​

Answer» ONG>ANSWER:

B HOPE it is help FULL to you

33.

3. Solve x2 + 6x+10=0 using the formula?​

Answer» ONG>Step-by-step EXPLANATION:

we can do the FOLLOWING with formula.

formula is SHOWN in the figure

34.

divide 820245 by 5 in detail step by step in long division pls help me pls solve step by step in a page photo click

Answer» ONG>ANSWER:

the answer to this QUESTION is 164049

35.

Find The Answer (+6)-(-11)-(-6)=

Answer» ONG>Step-by-step explanation:

+6+11+6

23

(-)(-)=+

please MAKE me BRILLIANT

36.

use the following digits to write the smallest and the greatest number you can form . use each digit only once . The number should not start with 0. 3,4,6,0,9,8​

Answer» ONG>ANSWER:

SMALLEST number-30

Greatest number-98

37.

Solve the following questions : 2m + 1 = 9​

Answer» ONG>Answer:

2m+1=9

2m=9-1

m=8/2=4

hope it HELPS

38.

Express each of the following as a ratio 43%​

Answer» ONG>Step-by-step explanation:

43:100 PLEASE me BRILLIANT

39.

5x + 3y=922-3y = 12​

Answer» ONG>Step-by-step explanation:

Adding equation (1 )and (2)

5x+ 3y=9

22x-3y=12

________

27x=21

x=21/27

Substitute this in equation 1

5*21/27+3y=9

3.89+3y=9

3y=9-3.89

3y=5.11

y=5.11/3

y=1.704

40.

From the top of a hill 200 m high, the angles of depression of the top and the bot tom of a pillar are 30° and 60° respectively. Find the height of the pillar and its distancefrom the hill. (Take V3 = 1.732]​

Answer»

ong>Step-by-step explanation:

LET CE is a pole of height H meter. AD is a hill of height 200 m. 

Let DISTANCE between bottom of hill to pole = x m.

According to question

  ∠XAC= 30° = ∠ACB and ∠XAE = 60° = ∠AED

From right angled ∆ADE

tan 60° = AD/DE

⇒ √81 = 200/x

⇒ x = 200/√3 m

From right angled ∆ABC,

HENCE, height of pole = 133.33 m.

41.

X + y = 2, x - y = 4Solve the quadratic equation 2x2 + 5x + 2 = 0 using formula method.Tindhree digit natural numbers are divisible by 5​

Answer» ONG>ANSWER:

jsq-sytf-jiu

Step-by-step EXPLANATION:

jsq-sytf-jiu

join

mee....t

42.

एका माणसाने एका दुकानातून 100 रु/-चोरले.नंतर त्या माणसाने त्याचदुकानातून 70 रु/- दुकानदाराने त्या माणसालासामान विकत घेतलं.30 रु/- परत दिले.सांगा त्या दुकानदाराला कितीचं नुकसान झालं?​

Answer»

ong>Step-by-step EXPLANATION:

Hindi or ENGLISH PLS this is gujarati

43.

In triangle PQR, angle PQR=90° Find sin P and cos P.​

Answer»

ong>Step-by-step explanation:

Take the given trigonometric ratio as 13k equation (i). sin θ = 5/13 .. .(i) [Given] By using the definition write the trigonometric ratio of sin θ and take it as equation (ii). In RIGHT angled ∆PQR, ∠R = θ Let the COMMON multiple be k. ∴ PQ = 5k and PR = 13k Find QR by using Pythagoras theorem. PR2 = PQ2 + QR2 … [Pythagoras theorem] ∴ (13k)2 = (5k)2 + QR2 ∴ 169k2 = 25k2 + QR2 ∴ QR2 = 169k2 – 25k2 = 144k2 ∴ QR = √(144k2) . . . [TAKING square root of both sides] = 12k Read more on Sarthaks.com - https://www.sarthaks.com/850966/in-right-angled-pqr-q-90-r-and-if-sin-5-13-then-find-cos-and-tan

44.

X(n)=cos(π/2n).u(n) signal and system​

Answer» ONG>Answer:

charcha did food did FIS fis fis fis fis do YA do ya do ya go to do ya

45.

X is 75% y. The percentage of y to x is :​

Answer» ONG>ANSWER:

y is 133.333333% X

Step-by-step explanation:

x is 75% y

x=3/4y

y=4/3x

y is 100× 4/3x

therefore, y is 133.33% x

46.

3. Solve : 2x^2 + √3x – 1=0​

Answer» ONG>Answer:

Step-by-step explanation:

To solve this EQUATION, let us APPLY QUADRATIC formula

47.

10. If 50% of (x- y) = 40% of (x + y), then what percent of x is y? (a) 10(1/9)% (b) 11(1/9)% (c) 13(1/9)% (d) 21(1/9)%​

Answer»

ong>Answer:

OPTION (b)

Step-by-step explanation:

Given:-

50% of (x- y) = 40% of (x + y)

To find:-

If 50% of (x- y) = 40% of (x + y), then what percent of x is y?

Solution:-

Given that

50% of (x- y) = 40% of (x + y)

=>50% × (x- y) = 40% ×(x + y)

=>(50/100)× (x- y) = (40/100)× (x + y)

= (1/2)×(x- y) = (2/5)× (x + y)

=>(x -y)/2 = 2(x + y)/5

=>(x-y)/2 = (2x+2y)/5

On APPLYING cross multiplication then

=>5(x-y) = 2(2x+2y)

=>5x -5y = 4x +4y

=>5x -4x = 4y +5y

=>x = 9y -----(1)

Let A% of x = y

=>A% ×x = y

=>(A/100)× x = y

=>A×9y/100 = y

=>A9y/100 = y

On CANCELLING y both sides

=>9A /100 = 1

=>9A = 1×100

=>9A = 100

=>A = 100/9%

=>A = 11 1/9 %

Answer:-

The required percentage for the given problem is

11 1/9 %

48.

SoFind the local maximum and minimum valuesf(theta)=sin²theta , [0,pi]​

Answer» ONG>Step-by-step EXPLANATION:

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49.

5 Single Answer TypeThe number of zeros are present in the cube of thenumber 25000 isA27B​

Answer»

ong>Answer:

9 NUMBER of ZEROS are presen

Step-by-step EXPLANATION:

in the cube of 25000

50.

867 અને 255 ગુ. સા. અ. શોધો.​

Answer» ONG>ANSWER:

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