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.

If A = {1, 2, 3, 4, 5}, write the relation a R b such that a + b = 8, a ,b € A. Write the domain, range & co-domain.

Answer»

\textbf{Given:}

\mathsf{A=\{1,2,3,4,5\}}

\mathsf{aRb\iff\,a+b=<klux>8</klux>}

\textbf{To find:}

\textsf{Doamin, Range and codomain}

\textbf{Solution:}

\mathsf{aRb\iff\,a+b=8}

\mathsf{3+5=8\implies\;_3R_5}

\mathsf{4+4=8\implies\;_4R_4}

\mathsf{5+3=8\implies\;_5R_3}

\therefore\mathsf{<klux>R</klux>=\{(3,5),(4,4),(5,3)\}}

\mathsf{Domain=\{3,4,5\}}

\mathsf{Range=\{3,4,5\}}

\mathsf{Co-domain=\{1,2,3,4,5\}}

\textbf{Find more:}

If R = {X, y)/x = 2y} is a RELATION defined on A = {1, 2, 3, 4, 6, 7, 8} then write all elements of R Also

brainly.in/question/19887787

Find the domain and range of the relation,

R = ( (x, y) : x,y e Z, xy = 4}

brainly.in/question/20462070

2.

What is equal to 12 1/2% of 80?

Answer»

Hi ,

Let X = 12½ % of 80

x = 25/2 % × 80

x = 25/200 × 80

x = 80/8

x = 10

I hope this helps you.

: )

3.

101x 99 using algebraic identity

Answer»

101×99
= (100+1)(100-1)
=(100×100)-(1×1)
=10000-1
=9999
here the IDENTITY USED is (a+b) (a-b)= a^2- b^2

4.

Simplify by rationalizing the denomiatotor : 1 by 2√7-√5

Answer» 0
5.

Arithmetic operators definition

Answer»

Quotient = DIVISOR + dividend ^ remainder

hope u GOT the answer my friend

6.

if the straight line x y - x - y + 1 = 0 and the line x + ay - 3 =0 are concurrent then the acute angle between the pair of lines ax2-13xy-7y2+X+23y-6=0 is

Answer»

I HOPE this ANSWER HELP you

7.

This is not a question this is game .you just imagine any number except 0 .you thought okay add it with 5 and again add with 10 and add with 15 okay.now subtract the u thought before and with the answer you get. hmm u got the answer mm it is 30.thx for seeing this cheers

Answer» OMG......, it WORKS....... BRAVO
8.

Please help me to solve this...... complete steps...11th standard

Answer» HI...☺

Here is your ANSWER...✌

GIVEN THAT,

f(x) = log \frac{1 + x}{1 - x} \:\:\: \:\:\: .....(1)\\
TO PROVE :

f( \frac{2x}{1 + {x}^{2} } ) = 2f(x) \\

PROOF :

LHS

f( \frac{2x}{1 + {x}^{2} }) = log \: \frac{1 + \frac{2x}{1 + {x}^{2} } }{1 - \frac{2x}{1 + {x}^{2} } } \\ \\ = log \: \frac{ \frac{1 + {x}^{2} + 2x }{1 + {x}^{2} }}{ \frac{1 + {x}^{2} - 2x}{1 + {x}^{2} } } \\ \\ = log \: \frac{1 + {x}^{2} + 2x }{1 + {x}^{2} - 2x } \\ \\ = log \: \frac{{(1 + x )}^{2} }{{(1 - x)}^{2} } \\ \\ = log \: {( \frac{1 + {x}}{1 - x} ) }^{2} \\ \\ = 2 \: log( \frac{1 + x}{1 - x} ) \: \: \: \: \: \: \: \: \: [ \because log( {a})^{b} = b log(a) ] \\ \\ = 2f(x) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [from \: (1)] \\

= RHS [ Proved ]
9.

Solve these q plz fast I need help

Answer»

Hey friend,
Here is the answer you were LOOKING for:

(Answer in attachment)

(NOTE : Due to LACK of space, I was not able to ATTACH the explanation of the question 3rd. HOPE you'll understand my problem

And I'm extremely sorry for that but we can't attach more than 5 images)

Hope this helps!!!

If you have any doubts regarding to my answer, feel free to ask in comment section or you can also inbox me.

@Mahak24

Thanks...
☺☺

10.

the shadow of a tree is 8m while the Shadow of a stick of length 3m is 2m find the height of the tree

Answer» TAN A=3/2 at same TIME tanA=X/8 ALSO here x is HEIGHT of tree
now 3/2=×/8
2x=3×8
x=12 m
11.

A boat takes 10 hours to travel 30 km upstream and 44 km downstream find speed of stream and speed of boat in still water . find in 2 seconds trick

Answer»

It will HELP you out of the DAY

12.

Ab cut 7.8 cm. n ac cut 4.3 from the bc is

Answer»

The ANSWER is 12.1 I THINK

13.

(-10)+3=10-3 is true or false

Answer»

False as in the LHS side the ANSWER is -7
but in the RHS side if we change the sign then it becomes 7 so it is false
it can be WRITTEN as
-10+3 = 3-10

hope it HELPS you

mark as brainlest if it helps you

14.

A body travels along a straight line with speed V¹ for time t¹ and other distance with speed V² for the t² in the same direction. Find the average speed of the body.

Answer»

HERE IS THE SOLUTION;

◆Let, the total distance covered by the PARTICLE during the complete journey is 2x.

◆If The half distance (x) covered with the speed v1 in T1 TIME.

◆Using formula of speed, v1=x/t1

so, t1= x/v1

◆And another half distance (x), covered with speed v2 in time t2.

so, v2=x/t2

t2=x/v2

◆AVERAGE VELOCITY = Total distance /Total time

◆Total time= t1+t2 = x/v1 + x/v2

=(v2x+v1x)/v1v2

◆Total distance = x+x=2x

◆On PUTTING the values of total distance and total time in the formula of average speed, we get

◆Average speed= 2x /(v2x+v1x / v1v2)

= 2v1v2 /(v1+v2)

HOPE IT HELPS

15.

√2*√3 what will be the answer of this:-

Answer»

√6........if its into....

16.

2+2+46+895679+864+542+89+=

Answer»

2+2+46+895679+864+542+89=897224

17.

the average temperature of the first three days of a week is 26.5 degree and that next three days is 29 degree celsius.i f the weekly average is 27.4 degree celsius then what's the temperature of the last days

Answer»

Let last temperature is X

Total average = (1ST avg + 2nd avg + x) / 3

27.4 = (26.5 + 29 + x)/ 3

82.2 = 55.5 + x

x = 26.7 degree

7th DAY TEMPERATUR is 26.7 degree

Thanks

18.

a car travels first half distance with a uniform speed U and next half distance with uniform speed V. Find the average speed?

Answer» AVERAGE SPEED is = (U + V) / 2

19.

What will be the result if we do the following - 26-48+(96×73)-72-(952)

Answer» HEY FRIEND the ANSWER will be 5962. HOPE you LIKE it
20.

This one ch 1 number system Q10

Answer» HOPE this HELPS you.......
21.

Parts and wholes - fraction

Answer»

Hey Mate
Here is your ANSWER in the attachment

Hope it HELPS
Cheers!!
Pls MARK as BRAINLIEST if it helps

22.

The distance by road between two towns A and B, is 216 km, and by rail it is 208 km. A car travels at a speed of x km/hr, and the train travels at a speed which is 16 km/h faster then the car. Calculate : the time taken by the car to reach town B from A in terms of x, the time taken by the train to reach town B from A in terms of x, if the train takes 2 hours less than the car to reach town B obtain an equation in x and solve it , hence find the speed of the train.

Answer»

THERE IS THE SOLUTION.


HOPE IT HELPS



23.

if the price of kerosene is raised by 10%, by how much percent must a person reduce his consumption of kerosene so that his expenditure remains the same.

Answer»

We have,
KEROSENE rate is increased by 10%.
So let the CURRENT price of kerosene be x.
Increased price = x+(10/100*x)

Let the PERSONS consumption be y.
So in order to keep his expenditure he must reduce his consumption also by 10%.


Mathematically,
x+(10/100*x)=y-(10/100*y)

Hence,
The PERSON must reduce his consumption by 10%.

Hope it HELPS!

24.

Write an AP whose first term and common difference are-1,25 and -0,25

Answer»

-1.25,-1.50,-1.75............

25.

The adjacent sides of a parallelogram are 15cm and 8cm. If the distance between the longer sides is 4cm, find the distance between the shorter sides.

Answer»

Given bigger side as BASE =15cm
smaller side as base=8CM
distance (HEIGHT) between the longer
side =4cm
=15×4=60
area of parallelogram =
60cm {}^{2}
area of parallelogram =base(8cm) ×height
60=8×height

height=60/8=15/2=7.5cm, HENCE the distance between the shorter side is 7.5 cm

hope it helps you

26.

A bed sheet was sold for 489 rupees there by gaining 15% find the cost price of bed sheet

Answer» HEY,
--------------------------------------------------------------------------------------------------------
15% of 489
= 73.35
then the C.P. = 489-73.35
=415.65 ANS 

THANKS
27.

Find two irrational number between 1.1 and 1.11

Answer»

The 2 irrational numbers between 1.1 and 1.11 is 1.1000000000856743...........   and 1.1000000000009645372.......   .

In this way you can find as MANY as you WANT but those numbers should be greater than first number and less than the SECOND number.

28.

6 minus 4 root 3 upon 6 + 4 root 3

Answer»

Hii friend,

6-4✓3/6+4✓3

=> 6-4✓3/6+4✓3 × 6-4✓3/6-4✓3

=> (6-4✓3)(6-4✓3)/(6+4✓3)(6-4✓3)

=> (6-4✓3)²/(6)² - (4✓3)²

=> (6)² +(4✓3)² - 2 × 6 × 4✓3/36- 48

=> 36 + 48 - 12 × 4✓3/-12

=> 84 - 48✓3/-12

=> 4(21-12✓3)/-12

=> 21-12✓3/-3

=> 21-12/-✓3

=> 21-12/-✓3 × ✓3/✓3

=> 21✓3-12✓3/-3

=> 9✓3/-3 = 3✓3/-1....

HOPE IT WILL HELP YOU.... :-)

29.

If two zeroes of the polynomialare and find its third zero.want even steps please

Answer»

Hey there ‼
______________________________

Since TWO given zeroes of given polynomial are 3 and –3.
x = √3 or x = – √3
( x – √3 ) ( x + √3 ) = 0
x² – 3 is a factor of given polynomial.

Refer to the attachment for division.

x³ – 4x² – 3x + 12 = ( x – 4 ) ( x – √3 ) ( x + √3 )

Thus, the zeroes of polynomial are √3, –√3 and 4.

Answer - 4 is the THIRD ZERO of the given polynomial.
______________________________

Hope my ans.'s SATISFACTORY. (^-^)

30.

10011001 to octal and base 5

Answer»

But KRNA KYA H. ... . ...

31.

Hots question. no:3 solve

Answer» LET's SOLVE it by Arithmetic Progression.

This series will form an A.P as first term is 1, SECOND is 3 , third is 5 and so on. By this way the common difference will be 2.

Given,

a = 1

common difference  = 2

Number of terms = 13.

Sum of all terms = N/2 [ 2a + ( n - 1 ) d ]

                           = 13 / 2 [ 2 * 1  + ( 13 - 1 ) 2 ]

                           =13 / 2 [ 2 + 12 * 2 ] 

                          = 13 / 2  ( 2 + 24 )

                          = 13 / 2 * 26

                          = 13 * 13 = 169.

32.

Find the average of 11 consecutive odd nos a, b, c,d,e,f,g,hi,j,k. ?

Answer»

Let 1st ODD no. be = x
then nxt are following x+2, x+4, x+6.............x+20
so AVERAGE= (x+x+2+x+4................+x+20)÷11
= 11x+110/11
=x+10

so in the TERM of a,b,C,d.......j,k
average= a+10

33.

(10011001) to octal and base 5

Answer»

Hey MATE ☺


{SEE THE PICTURE}


HOPE it helps ☺

34.

What is "DE MOIVE'S LAW" ?

Answer»

De Moivre's LAW. ... De Moivre's Law is a SURVIVAL MODEL APPLIED in actuarial science, named for Abraham de Moivre. It is a simple law of mortality BASED on a linear survival function.

35.

in a factory the ratio of salary of skilled and unskilled workers is 5.3 total salary of one day of both them is 720 rupees find daily wages of skilled and unskilled worker

Answer» LET the ADD the two ratio proportion i.e. 5 + 3 = 8

Divide 720 by 8 i.e. (720 / 8 ) = 90

So, wages of the skilled workers is 5 X 90 = 450
and wages of the unskilled works is 3 x 90 = 270
36.

a car moves through 120 km at a speed of 40 km per hour and return back at a speed of 60 km per hour calculate its average speed

Answer»

Hope this may help you PLEASE LET me know the CORRECT ANSWER if given in your text book

37.

the population of a town increases by 10% every year at present the population of the town is 363000 what was the population of the town 2 years back

Answer»

363000= P( 1-r/100)^n
363000= p( 1-10/100)^2
363000= p( 9/10×9/10)
p= 363000×100/81= 448148 ( APPROX)

38.

X equal to zero by equal to minus 12 butter 15 Z equal to 12:35

Answer»

....... SORRY i don't KNOW

39.

The condition if two circles of equal radii cut orthoganlly

Answer» TWO circles with equal RADIUS pass through CENTRE of each other as shown in FIGURE. If radius = r, the area of the overlapping region would be:





Circle.jpg (14.68 KiB) Viewed 27767 times



A:

2π

r

2

−

3

√

2

2πr2−32



B:

2π

r

2

−

π

8

2πr2−π8



C:

r

2

(

4π

3

−

3

√

4

)

R2(4π3−34)



D:

r

2

(

π

3

−

2

√

)

r2(π3−2)



E:

r

2

(

2π

3

−

3

√

2

)

r2(2π3−32)

40.

the cost of 1 metre of cloth is rupees 25 by 1 by 5 what is the cost of 5 by 5.9 metre of cloth? Of fractions lesson is fraction ok I want correct answer ok thanks

Answer» COST of 1 m CLOTH=25×1×5=125
cost of 5 by 5.9 m cloth= 5.9×5×125
=₹3687.5 ANS
41.

Change the sentence from comparitive to Positive- The pen is mightier that the sword.

Answer»

The SWORD is not so MIGHTY as the PEN..

42.

Expand it (3d - 5 ) (4 - d )

Answer»

(3D-5)(4-d)

= 3d(4-d)-5(4-d)

= 12d-3d²-20+5d

= -3d²+12d+5d-20

= -3d²+17d-20

43.

What is the size for leave application form of paper?URGENTpls help

Answer» A4 SIZE paper

THIS IS THE CORRECT ANSWER SO MARK BRAINLIEST ✌️
44.

Expand it 10a(2a-b)

Answer» HEY!!!!

__________

Let's EXPAND

=> 10a( 2A - b )

=> 20a² - 10ab

_________

Hope this helps ✌️
45.

ABC is An isosceles triangle, PQR is a equilateral triangle within ABC then find angle 'a'.

Answer»

In equalateral all SIDE are equal but in ISOSCELES triangle only two side are
equal ext angle +INT angle =180 so x+x+60+60=180. 2x+120=180. 2x=180-120. 2x=60. X=60upon2. X=30 so A=30

46.

Percentage35 ka 25%

Answer»

35/4= 8.75
So your ANS. Is 8.75

47.

Please answer simplify the following

Answer» DONE with all...................
48.

2 racing cars acquire velocities 18kmph and 36kmph in 0.5 sec if they are accelerated uniformly from rest find their accelarations

Answer»

For first car,

Initial velocity ( U ) = 0.

Final velocity ( v ) = 18 km/h   = 5 m/s.

Time ( t ) = 0.5 sec

Acceleration ( a ) = ( v - u ) / t

                            = ( 5 m/s - o ) / 0.5 s

                            = 5 m/s / 0.5 s

                            = 5 * 10 m / 5 s ^ 2

                           = 10 m / s ^ 2 = 10 m s ^ -2.

For second car,

Initial velocity ( u ) = o.

Final velocity ( v ) = 36 km/h = 10 m/s.

Time ( t ) = 0.5 s

Acceleration ( a ) = ( v - u ) / t

                           = ( 10 m/s - o ) / 0.5 s

                           = 10 m * 10 / 5 s ^ 2

                          = 20 m/s ^ 2  = 20 ms^ -2.

49.

word problem by linear equations method : when i was 2 years old my friend age was half of my age .if i am 60 years old then what is the age of my friend?

Answer»

My AGE =>2
friend's age =>2/2=1

My friend is 1 year younger than me

So if I am 60
My friend's age is 59 YEARS

50.

121:12::25:? complete the relation ship given

Answer» PRODUCT of extreme = product of mean
LET the fourth no. be x
then 121x = 12*25
so x = 12*25/121
300/121
300/121 is the answer
Hope it helps