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.

2.8 prove that tan' ( 17 ) & tan'(/3) = II4​

Answer»

Answer:

If the QUOTIENT is 5.375, it MEANS the quotient is 5 and the REMAINDER is 0.375 times the divisor.

In decimal form the answer is 5.375 or 5 and 375/1000

or 5 and 3/8 so

the IRREGULAR fr

The two numbers are 86 and 16 and their SUM is 102.

Step-by-step explanation:

If the quotient is 5.375, it means the quotient is 5 and the remainder is 0.375 times the divisor.

In decimal form the answer is 5.375 or 5 and 375/1000

or 5 and 3/8 so

the irregular fraction is 43/8.

So the number is (43*2)/(8*2) = 86/16.

The two numbers are 86 and 16 and their sum is 102.

2.

Diagrammatically show the formation of MgO​

Answer»

ANSWER:

Step-by-step EXPLANATION:

3.

In the given figure of ACB isstraight line and x:y =2:1find the value ofto x and y​

Answer»

Step-by-step explanation:

let the ratio continuous be a

then, 2a & a

As we KNOW that,

SUM of two ANGLES on a straight line measures 180 °(linear PAIR)

so, 2a+a=180°

3a=180°

a=180/3

a=60°

now, a=y=60°

2a=x=60×2

=120°

Hence, value of x=120° & y=60°

HOPE IT HELPS YOU

4.

Give the answer step by step .with photo​

Answer»

Your QUESTION is so HARD for me to SOLVE it.

\huge{I \: Love \: My \: India}

\large \bold \red{Mark \: As \: Brainliest \: = \: 20 \: Thanks}

Captain America Shieldhtml, body {background:#0846A8;height: 500px;}.container {width:100%;height: 100%;display: flex;justify-content: center;align-items: center;}.circle {border-radius: 50%;display: flex;flex-direction: row;justify-content: center;align-items: center;border:1px solid #000;}.outer-lv3 {background-image: linear-gradient(#870000,#FF4040,#870000);height: 260px;width: 260px;-webkit-animation: turning 8s infinite linear;animation: turning 8s infinite linear;}@-webkit-keyframes turning {0% {transform: rotate(0deg)}100% {transform: rotate(360deg)}}@keyframes turning {0% {transform: rotate(0deg)}100% {transform: rotate(360deg)}}.outer-lv2 {background: #fff;background-image: linear-gradient(#DBD9D9,#FAFAFA,#DBD9D9);height: 210px;width: 210px;}.outer-lv1 {background-image: linear-gradient(#870000,#FF4040,#870000);height: 150px;width: 150px;}.center {background-image: linear-gradient(#0846A8,#277AFF,#0846A8);height: 100px;width: 100px;border-radius: 50%;position: relative;overflow: hidden;border:1px solid #000;}.arrow {border-top: 35px solid #EDE8E8;border-bottom: 48px solid rgba(0,0,0,0.0);border-left: 48px solid transparent;border-right: 48px solid transparent;position: absolute;height: 0;width: 0;}.top {top: 35px;left: 2px;}.left {transform: rotate(72deg);top: 16px;left: -24px;}.right {transform: rotate(-72deg);top: 16px;left: 25px;}

5.

(iv) (2x +3)(x² – 2x + 5)35​

Answer»

I HOPE it will help you. send me more QUESTIONS and CLEAR your DOUBTS like this

6.

Find the area of a quadrilateral ABCD having vertices at A(1, 2),Find the area of aB(1, 0), C(4, 0) and D(4, 4).​

Answer»

ANSWER:

The IMAGE MAY HELP you out........

7.

Find the length of the string of the flying kite which is at an angle of 60° from the ground and 75 meters above the ground​

Answer»

String = 86.6 m

Step-by-step explanation:

Given:

  • Angle of elevation made by KITE is 60°.
  • Distance of kite above the GROUND is 75 m.

To Find:

  • What is the length of string ?

Solution: Let in right ANGLED triangle at B ,

  • AB = Distance of kite from ground.
  • BC = Ground
  • AC = String

Now, in ∆ABC ,

  • AB = Perpendicular
  • BC = Base
  • AC = Hypotenuse
  • ∠ABC = 90°

\implies{\rm } sinθ = Perpendicular/Hypotenuse

\implies{\rm } SINC = AB/AC

\implies{\rm } sin6 = 75/AC

\implies{\rm } 3/2 = 75/AC

\implies{\rm } AC√3 = 75(2)

\implies{\rm } AC√3 = 150

\implies{\rm } AC = 150/3

\implies{\rm } AC = 150/1.73

\implies{\rm } AC = 86.6

Hence, the length of string of kite is of 86.6 m.

8.

Find the area of each of the following polygon​

Answer»

AREA of POLYGON Formulas

Name of the Polygon Area Formula

Triangle. 1/2 × base × height

Square. (side)²

Rectangle. LENGTH × width

Pentagon 5/2 × side length × distance from the CENTER of sides to the center of pentagon

hope this helps....you.....

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9.

Please answer the questions with explaination​

Answer»

\frac{1}{3 \sqrt{5} + 2 \sqrt{2}  }   \\  \frac{1}{3 \sqrt{5}  + 2 \sqrt{2} }  \times  \frac{3 \sqrt{5}  - 2 \sqrt{2} }{3 \sqrt{5 - 2 \sqrt{2} } }  \\  \frac{3 \sqrt{5} - 2 \sqrt{2}  }{(3 \sqrt{5) ^{2} }  - (2 \sqrt{2) {}^{2} } }  \\  \frac{3 \sqrt{5}  - 2 \sqrt{2} }{45 - 8}  \\  \frac{3 \sqrt{5}  - 2 \sqrt{2} }{37}

10.

If the roots of x2 +6Kx + K = 0 are equal, the value of K is​

Answer»

Question:-

If the roots of x² +6Kx + K = 0 are equal, the VALUE of K is ___.

ANSWER:-

If roots of a polynomial are equal then

D = 0

{b}^{2}  - 4ac \:  = 0

here

b = 6k, a = 1 and c = k

So,

→(6k)² - 4.1.k = 0

→36 k² - 4k = 0

→4k ( 9k - 1 ) = 0

So →4k = 0 and →9k - 1 = 0

→k = 0 and→ k = 1/9 ( ans).

┏─━─━─━∞◆∞━─━─━─┓

✭✮ӇЄƦЄ ƖƧ ƳƠƲƦ ƛƝƧƜЄƦ✮✭

┗─━─━─━∞◆∞━─━─━─┛

{\huge{\mathtt{\red{Thank\:You}}}}

11.

If x, y, z > 0 and x ≠ 1, y ≠ 1, z ≠ 1 such that log x/y−z =log y/z−x =log z/x−ythen prove thatx^xy^y z^z = 1.​

Answer»

Answer:

We have,  

​  

 

1+x

1

1

​  

 

1

1+y

1

​  

 

1

1

1+z

​  

 

​  

=0  

⇒  

​  

 

x

0

1

​  

 

−y

y

1

​  

 

0

−z

1+z

​  

 

​  

=0,  use R  

1

​  

→R  

1

​  

−R  

2

​  

 and R  

2

​  

→R  

2

​  

−R  

3

​  

 

Now EXPAND along FIRST row,

⇒x[y(1+z)+z]+y(0+z)=0

⇒xy(1+z)+xz+yz=0

⇒xy+yz+zx=−xyz

⇒x  

−1

+y  

−1

+z  

−1

=−1, divide both SIDES by xyz

Step-by-step explanation: i have followed you

12.

Express as mixed number 17 upon 5​

Answer»

ANSWER:

3whole 2 by 5

HOPE it HELPS

13.

10STUDENTS HAVECLASSAssegument 2ROLL NO.y Solve by Completing the square method.of 9x² +242 +16=0bol 9x² +42-16=0ty 92² +1 82 + 15 =0 (what do you get ?tuk 22 ²+2-4=0​

Answer»

COMPLETING the SQUARE METHOD is no more in CBSE SYLLABUS

14.

I hope you can solve it please help me urgently​

Answer»

ANSWER:

70 will be the answer ...

15.

Degree of the polynomial 2x+3​

Answer»

ANSWER:

DEGREE is 1

hope it HELPS

16.

X is equals to a sec theta + b tan theta and y = a tan theta + b sec theta prove that x square minus y square is equals to a square minus b square​

Answer»

Step-by-step explanation:

PLZ REFER above ATTACHMENTS for answer

Hope it helps

Plz mark as brainlist

17.

Measure of one angle of a parallalogram is 80 degree. find the other three angles .​

Answer»

Answer:

The other 3 ANGLES are 80°, 100° & 100°.

Step-by-step explanation:

Opposite angles of a parallelogram are equal, so, the opposite angle to the given angle is also 80°.

Similarly, the ADJACENT angles of a parallelogram have a SUM of 180°. So, the angles adjacent to these two angles would be equal to 100°.

Thus, the other 3 angles are 80°, 100° & 100°.

Hope this helps.....

18.

In the adjoining figure, AD bisects ZA. Arrange AB, BDand DC in the descending order of their lengths.BDC​

Answer»

Answer:

AB < DC < BD

Step-by-step explanation:

USE the LAW of sines.

and please MARK this answer the BRAINLIEST.

19.

Find the median of the following data 20-40,40-60,60-80,80-100 frequency 7,15,20,8​

Answer»

Answer:

search

What would you like to ASK?

10th

Maths

Statistics

Median of Grouped Data

Find the median of the FOLL...

STATISTICS

avatar

Asked on December 20, 2019 by

Sherine Mallick

Find the median of the following data:

Class interval 0−20 20−40 40−60 60−80 80−100 100−120 120−140

Frequency 6 8 10 12 6 5 3

EASY

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Study later

ANSWER

ClassInterval Frequency c.f.

0−20 6 6

20−40 8 14

40−60 10 24

60−80 12 36

80−100 6 42

100−120 5 47

120−140 3 50

N=50

Here, N=50, then

2

N

=

2

50

=25

∴ Median class =60−80

We have, l=60,c.f=24,f=12 and h=20

Median=l+

f

2

N

−c.f

×h

=60+

12

25−24

×20

=60+1.66

=61.66

20.

If x-1/x=7,find the value of x3-1/x3​

Answer»

\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}

\red{\bold{\underline{\underline{QUESTION:-}}}}

If x-1/x=7,find the VALUE of x3-1/x3

\huge\bigstar\huge\tt\underline\red{ᴀɴsᴡᴇʀ }\bigstar

------>>>>Here is your answer<<<<--------

❱ ❱ ❱ see in the PICTURE above ATTACH for complete solution step by step:-

HOPE IT HELPS YOU..

_____________________

Thankyou:)

21.

Solve -12x>30,when x is a natural number​

Answer»

−12x>30

Answer:

=X<−52

Step-by-step EXPLANATION:

22.

11. The value of the expressionsin? 22°+sinº 68 °+ sinº 63º+cos 63°sin 27°cos? 22° + cos2 68°is(A) 3(B) 2(C) 1(D) 0​

Answer»

Answer:

sin^2 22+sin^2 68/COS^2 22+cos^2 68+sin^2 63+sin^2 27

sin^2 22+ cos^2 22/sin^2 68+cos^2 68+sin^2 63+sin^227

=1/1+1

=2

so in this QUESTION you have two know

sinA =cos (90-A)

cosA=sin (90-A)

sin^2 A+cos^2 A=1

Step-by-step EXPLANATION:   I have FOLLOWED you

23.

A)4. Find the value of a, for which point PC3) is the midpoint of the line segment joiningthe points Q(-4,-3) and R(3,9).The ordinate of a noint A on Y-axis is 8 and B has coordinates (2,6). Find the length of​

Answer»

ANSWER:

gudb. HI FC Barcelona SPAIN this chapter 1 you have received your marvelous explaination the group is the best regards and any files transmitted with you are you doing now PLEASE send me the day and any files transmitted are confidential

24.

10. In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every incorrectanswer. If he attempts all 75 questions and secures 125 marks, what are the number of questions heattempted correctly?please answer this question ....this may help me a lot..!​

Answer»

ANSWER:

If the number of correct answer be X,

then the number of incorrect answer is (75X).

∴4x−(75−x)

=125

or x=40

Step-by-step EXPLANATION:

HOPE this helps you ☺️

Please mark as Brainlist

25.

त्रिकोणाच्या कोनांची मापे 95°, 47°, X° असतील तर X ची किंमत सांगा​

Answer»

Answer:

38...................

26.

The difference of two integers is 78. If one of them is -59. Find the other integer. *

Answer»

Step-by-step EXPLANATION:

let, the Second INTEGER be X and first integer be y

since, y= -59 , x-y=78

x-y=78

x-(-59)=78

X+59=78

X=78-59

X=19

27.

SECTION DPuestion numbers 35 to 40 carry 4 marks each.From the top of a 7 m building, the angle of elevation of the top of a cabletower is 60° and the angle of depression of its foot is 45°. Determine theheight of the tower. (Use √3 = 173)​

Answer»

i HOPE this is your REQUIRED ANSWER.

28.

a triangle and a parallelogram have the same area.if the sides of the triangle are 26cm,28cm and 30cm and the parallelogram stand on the base 28cm find the base 28cm, find the height of parallelogram​

Answer»

ANSWER:

Qwertzuiopasdfghjklyxcvbnm I don't UNDERSTAND you QUESTION BYE

29.

Solve bybcompleting the square method 2 X square + 4 x minus 16 equals to zero​

Answer»

Step-by-step EXPLANATION:

MARK as BRANLIEST THANKS

30.

Write a quadratic polynomial the sum and product of whose zeroes are 3 and -2 respectively​

Answer»

X^2-Sx+P

here S is the SUM of ZEROES and p is the PRODUCT lf zeroes

So sum of zeroes=3+(-2)=3-2=1

P=3×-2=-6

Hence required polynomial is

x^2-1x+(-6)

x^2-x-6

31.

6xy from -12xy slove this question​

Answer»

Answer:

18xy

Step-by-step explanation:

6xy from -12xy

=-12xy-6xy

=18xy

32.

If m=(-1)^2000 and n=(-1)^2002 then find the value of m/n+n/m​

Answer»

ANSWER:

both are having even values as power.so both will become 1 . (option B)

(-1)^2000= 1.

(-1)^2002= 1.

Step-by-step explanation:

MARK as brainlist

33.

To draw graph of 4x + 5x =19. Find y which x=1 (alternative)​

Answer»

Answer:

3

Step-by-step explanation:

4x + 5Y = 19

4*1 + 5y = 19

4 + 5y = 19

5y = 19 - 4

5y = 15

y = 15/5

y = 3

{ALSO, I think the que. is misprinted... it should be 5y}

34.

From the top of a 7 m building, the angle of elevation of the top of a cabletower is 60° and the angle of depression of its foot is 45°. Determine theheight of the tower. (Use 73 = 1.73)​

Answer»

here is your ANSWER:

35.

A boat travels 16km upstream in 4 hours and returns back in 2 hours 30 minutes. What would be the time taken by the boat to cover 26km in still water?​

Answer»

Answer:

6 HOURS 30 minutes

Step-by-step explanation:

TAKE 26 and DIVIDE by 4

please MARK me as BRANLIEST

36.

If p =0 and q=3 then p + pq+q²​

Answer»

ANSWER:

=0+0*3+0^2 (VALUE GIVEN)

=0+0+0

=0 ANS.

37.

The roots of a square X square -(a square b square +1)X+b square.​

Answer»

BRO this is a SIMPLE QUESTION so I MUST TRY this by your own

38.

If the roots of 4x2 - 8K+ 5 = 0 are equal, the values of K are​

Answer»

Answer:

The quadratic equation (k-5)X2 + 2(k-5)x + 2 =0 have EQUAL ROOTS. ⇒ k = 7 or 5.

39.

Find the value of x-3 if x=(100)1-4÷(100)power a with explanation​

Answer»

ANSWER:

not ABLE to UNDERSTAND the QUESTION

40.

Please answer my question4598+6344

Answer»

4598 + 6344 =10,942

I HOPE it HELPS!!

41.

The line passes through (4, 3) and (y,6) is 11 to the line passing through( -1 -2 )and(3,0) find y

Answer»

ANSWER:

y=2

(4,3)&(y,6). (-1,-2)&(3,0)

m1=m2

m1 =y2-y1/x2-x1

(-1,-2),(3,0)

m1=1/2

m2= y-4=6

y=2

42.

In fig. ABC is an equilateral triangle. D, E and Fare the mid-points of the sidesAB, BC and CA respectively. Prove that DEF is also an equilateral triangle.​

Answer»

Answer:

ok, FINE

3 STEPS

3 PICTURES

Step-by-step explanation:

please follow me and MARK it as the BRAINLIEST answer please please please please please please please please please please please

43.

The product of 7pq and 8rs

Answer»

ANSWER:

MARK AS BRAINLIEST PLEASE......

56pqrs

Step-by-step EXPLANATION:

44.

P(x)=x3-x2-17x-15 2 zero number

Answer»

<P>Step-by-step EXPLANATION:

P(X)=x3-x2-17x-15

p(₹63_63(_46(_53+_46("35+3" 5+

45.

Sec 3x=-√2plz solve these​

Answer»

Step-by-step EXPLANATION:

secx=-root2/3

\sec( \alpha )  =   - \frac{ \sqrt{2} }{3}

sec x=-pi/3

\sec( \alpha )  =   -  \frac{\pi}{3}

\sec( \alpha )  =  \frac{2\pi}{3}

OK FRIEND this is URS ANSWER

46.

Find the smallest numbers by which 3645 must be multiplied to get a perfect square

Answer»

Answer:

The required SMALLEST NUMBER by which 3645 MUST be MULTIPLIED to get a PERFECT square is 5.

47.

The age of a man is 24 years more than his son. In two years, the father’s age will be twice that of his son. Find the present age of his son.

Answer»

Answer:

Let the SON's present AGE be x years. Then, man's present age = (x + 24) years

=> (x + 24) + 2 = 2(x + 2)

=> x + 26 = 2X + 4

So, x = 22

48.

Show that the points P(-1,5,3) Q(6,-2) R(-3,4) are colinear

Answer»

ANSWER:

the YOUNGER kk3 the same TIME as the younger

49.

Aditya takes 9 days more than his father to do a certain piece of work . Together they can do the work in 6 days. How many days will Aditya take to do that work alone.PLZ PLZ answer std 10 from quadratic equations chapter..

Answer»

Step-by-step explanation:

\bf{\underline{\underline\red{Given:-}}}

  • He and his father together can do the work in 6 days.

\bf{\underline{\underline\blue{To\:Find:-}}}

  • The number of days, Aditya take to do that work alone.

\bf{\underline{\underline\green{Solution:-}}}

Let the number of days Aditya takes to do the work be x

And number of days taken by his father be y

As Aditya takes 9 more days than his father to complete the work.

\rm \implies x - y = 9

\rm \implies x  =y +  9......(i)

\rm Aditya's  \: one  \: day  \: work =   \dfrac{1}{x}

\rm His \:  father's \:  one  \: day \:  work =   \dfrac{1}{y}

They together take 6 days to complete the work.

\implies \rm    \dfrac{1}{x}   + \dfrac{1}{y}  =\dfrac{1}{6}

\implies \rm    \dfrac{y + x}{xy}    =\dfrac{1}{6}

\implies \rm    y + x  =\dfrac{xy}{6}

\implies \rm    6(x + y ) ={xy}

From (i) x = y + 9

\implies \rm    6(y + 9 + y ) ={y(y + 9)}

\implies \rm    6(2y + 9 ) ={y(y + 9)}

\implies \rm   12y + 54 = {y}^{2}   + 9y

\implies \rm    {y}^{2}   + 9y - 12y - 54 = 0

\implies \rm    {y}^{2}    - 3y - 54 = 0

\implies \rm    {y}^{2}    - 9y + 6y - 54 = 0[/tex[tex]\implies \rm    {y}(y   - 9) + 6(y - 9) = 0

\implies \rm    (y   - 9) (y + 6) = 0

\implies \rm    y = 9 \: , \:  - 6

Since the number of days should not be negative.

\implies \rm    y = 9

Since:-

\implies \rm   x -  y = 9

\implies \rm   x -  9= 9

\implies \rm   x = 18

Hence;

\boxed{  \therefore   \rm \: Aditya \: can \: complete \: the \: work  \: in \:  18 \: days}

50.

A two digit number divided by another two digit number gives 0.525 . What are the numbers?

Answer»

Answer:

If the quotient is 5.375, it MEANS the quotient is 5 and the REMAINDER is 0.375 times the divisor.

In DECIMAL form the answer is 5.375 or 5 and 375/1000

or 5 and 3/8 so

the irregular fraction is 43/8.

So the NUMBER is (43*2)/(8*2) = 86/16.

The two NUMBERS are 86 and 16 and their sum is 102.

Step-by-step explanation:

If the quotient is 5.375, it means the quotient is 5 and the remainder is 0.375 times the divisor.

In decimal form the answer is 5.375 or 5 and 375/1000

or 5 and 3/8 so

the irreg