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.

A sphere has a radius of 3 cm. Calculate its volume in S.I. unit(Given: Volume of a sphere =4/3×π×(radius)^3

Answer»

Here is your answer.
I have GIVEN the m^3 conversion.
I HOPE it will HELP you.
Mark it as BRAINLIEST.

2.

A intersection (B union C)

Answer» \bold{Answer :}

We need to PROVE that,

A ∩ (B ∪ C) = (A ∩ B) U (A ∩ C)

LET, X ∈ {A ∩ (B ∪ C)}

⇒ (x ∈ A) ∧ {x ∈ (B ∪ C)}

⇒ (x ∈ A) ∧ { (x ∈ B) ∨ (x ∈ C) }

⇒ {(x ∈ A) ∧ (x ∈ B)} ∨ {(x ∈ A) ∧ (x ∈ C)}

⇒ {x ∈ (A ∩ B)} ∨ {x ∈ (A ∩ C)}

⇒ x ∈ {(A ∩ B) U (A ∩ C)}

∴ A ∩ (B ∪ C) ⊆ (A ∩ B) U (A ∩ C) ...(i)

Again, let y ∈ {(A ∩ B) U (A ∩ C)}

⇒ {y ∈ (A ∩ B)} ∨ {y ∈ (A ∩ C)}

⇒ {(y ∈ A) ∧ (y ∈ B)} ∨ {(y ∈ A) ∧ (y ∈ C)}

⇒ (y ∈ A) ∧ { (y ∈ B) ∨ (y ∈ C) }

⇒ (y ∈ A) ∧ {y ∈ (B ∪ C)}

⇒ y ∈ {A ∩ (B ∪ C)}

∴ (A ∩ B) U (A ∩ C) ⊆ A ∩ (B ∪ C) ...(ii)

∴ From (i) and (ii), we get

A ∩ (B ∪ C) = (A ∩ B) U (A ∩ C)

Hence, PROVED.

#\bold{MarkAsBrainliest}
3.

Plz solve dy/dx of this equation

Answer»

I HOPE it can HELP you and PLEASE MARK it BRAINLIEST and comment

4.

Solve no 13.....................

Answer»

Hey mate, here is your answer....

Manoj : Lalit
54000 : 25500
540 : 255
Rational total = 795
Profit = ₹ 21200
PART of Manoj = 21200 ×540÷795
= 14,400
Lalit's Part = 21200 × 255 ÷ 795
= 6800

So, the answer is 6800

Hope, it will help you...

Keep ASKING....

If really helps you, mark my answer as brainliest ONE...

5.

How to solve this maths problem 29+68

Answer» ADDING both no.s
29 + 68,
we GET. 97
6.

When i am 6my sister is halfof my age now i am 16 tell my sister age

Answer»

When I was 6 my sister is half of my age
= 6/2 = 3year
so now I'm 16 YEAR then SE is
= 16 /2 = 8years
Ans. is 8 YEARS
Please mark as brainlist

7.

From where does the mathematical thales belong

Answer»
Little is known of Thales. He was born about 624 BC in MILETUS, Asia MINOR (now Turkey) and died about 546 BC in Miletos, Turkey.

HOPE THIS WILL HELP U
8.

What number should be added to -5/2 so as to get -3/2

Answer» LET the no. be x
-5/2 + x=-3/2
so, x=-3/2+5/2
x=1
9.

Replace the letters with suitable numerals in the following operations with solution

Answer» HOPE it will HELP you
10.

(3xy^2-y^3)dx-(2x^2y-xy^2)dy=0

Answer» \bold{Answer :}

Now,

(3xy² - y³) DX - (2x²y - xy²) DY = 0

⇒ dy/dx = (3xy² - y³)/(2x²y - xy²) ...(i)

LET us take,

y = vx

Then,

dy/dx = v + X (dv/dx)

From (i), we get

v + x (dv/dx) = (3x v²x² - v³x³)/(2x² vx - x v²x²)

⇒ v + x (dv/dx) = (3v² - v³)/(2v - v²)

⇒ x (dv/dx) = (3v - v²)/(2 - v) - v

⇒ x (dv/dx) = (3v - v² - 2v + v²)/(2 - v)

⇒ x (dv/dx) = v/(2 - v)

⇒ {(2 - v)/v} dv = (dx)/x

⇒ 2 (dv)/v - dv = (dx)/x

∴ integrating we get

2 ∫ (dv)/v - ∫ dv = ∫ (dx)/x

⇒ 2 logv - v = logx + c, where c is intergral constant

⇒ 2 log (y/x) - (y/x) = logx + c [ ∵ y = vx ]

⇒ 2 logy - 2 logx - (y/x) = logx + c

⇒ 2 logy - 3 logx = (y/x) + c,

which is the required primitive

#\bold{MarkAsBrainliest}
11.

Replace the letters with suitable numerals in the following operations

Answer» HOPE it will HELP you
12.

40% students in a school are more than 12 years of age while 90% of the students are below or equal to 15 years. 30% of the total students speak english. 30% of the students above the age of 15 speak English. Students below or equal to the age of 15 years who speak English is what % of the total students speaking English.

Answer»

The equation (l-m/2)X^2 -(l+m/2)x +m =0 got two values of x to satisfy the equation given as

13.

Define axiom and postulate

Answer»

An axiom or postulate is a STATEMENT that is TAKEN to be true, to serve as a PREMISE or starting point for further REASONING and arguments.

HOPE THIS WILL HELP U

14.

-36 by 63 as rational number with numerator -4

Answer» HEY Mate, Here is your ANSWER :

As we KNOW, -36 ÷ -4 is 9.

So, -36/63 = -36÷9/63÷9 = -4/7.

Hope it helps you.

Thank you.

Plz MARK as brainliest if I deserve.

@sidhartha
15.

2×2×2×2×2×2×2×2×2×2×23×4×5×6×7×0=?

Answer» HEY your ANSWER is 0(ZERO)
16.

Replace the letters with suitable numerals in the following operations this operation and method

Answer»

These QUESTIONS are ALREADY SOLVED....

17.

25 men working 8 hours a day do a job in 63 days. how long would 45 men take to finish the job,working 7hours a day

Answer» 60 HOURS .............
18.

C option is that answer............

Answer»

0.6*0.6+0.6/6
applying BODMAS
0.6*0.6 +0.1
0.36+0.10
=0.46

19.

The perimeter of one square is 24cm.and that of another is 32cm.Find the perimeter of a third square whose area is equal to the former two squares.

Answer» PERIMETER of SQUARE A=24
SIDE=24
side of square A=6

Area if square A=36cm^3

perimeter of SQ. B=32
side of sq. B=8

area of sq. B=8×8=64cm^3

area of square C=64+36
(side)^2=100
side=10

now perimeter of square C=4×side
perimeter=4+10=40 ANS.
20.

I am asked this question

Answer»

I thaught that this is RIGHT

21.

Route 3 repent on number line

Answer» MARK this ANSWER as BRAINLIEST..!!
PLEASE...!!!
22.

Sum of the place values of the digit 6. in 846946

Answer» TOTAL SUM of PLACE VALUE of 6 is = 6000+6=6006
23.

If1*2+2*2^2+3*2^3+..................+n*2^n=2^(n+10)+2then find value of n.

Answer»

Answer=109
it's CORRECT ANS

24.

Divide, find the quotient and remainder and check 5836/24

Answer» QUOTIENT = 243
remainder = 4
25.

Simplify: 2/7(14x²-21y²)(-5x²-3y²)

Answer»

GIVEN :

Simplify : \frac{2}{7}(14x^2-21y^2)(-5x^2-3y^2)

TO FIND :

The simplified TERMS of the given EXPRESSION \frac{2}{7}(14x^2-21y^2)(-5x^2-3y^2)

SOLUTION :

Given expression is \frac{2}{7}(14x^2-21y^2)(-5x^2-3y^2)

Now solving the given expression as below :

\frac{2}{7}(14x^2-21y^2)(-5x^2-3y^2)

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

=2(2x^2-3y^2)(-5x^2-3y^2)

=2(2x^2)-2(3y^2)(-5x^2-3y^2)

By using the Distributive PROPERTY :

a(x-y)=ax-ay

=(4x^2-6y^2)(-5x^2-3y^2)

=4x^2(-5x^2-3y^2)-6y^2(-5x^2-3y^2)

By using the Distributive property :

(a+b)(x+y)=(a+b)x+(a+b)y

=4x^2(-5x^2)+4x^2(-3y^2)-6y^2(-5x^2)-6y^2(-3y^2)

By using the Distributive properties :

i) a(x+y)=ax+ay

ii) a(x-y)=ax-ay

By using the EXPONENT property :

a^m.a^n=a^{m+n}

=-20x^4-12x^2y^2+30x^2y^2+18y^4

=-20x^4+18x^2y^2+18y^4

\frac{2}{7}(14x^2-21y^2)(-5x^2-3y^2)=-20x^4+18x^2y^2+18y^4

∴ the simplified terms for the given expression \frac{2}{7}(14x^2-21y^2)(-5x^2-3y^2) is -20x^4+18x^2y^2+18y^4

26.

Plz help me solvev this!!!no.19

Answer»

X+y+Z=0,
x+y=-z
(x+y)^3=(-z)^3
x^3+y^3+3×x^2×y+3×x×y^2=-z^3

27.

The answer of the question

Answer» QUESTION is not CLEAR
28.

Find the product by suitable properties definition

Answer»

What is your QUESTION DEAR

29.

The difference between two integers is 36.The quotient when one integer is divided by other is 4.Find the integers

Answer»

Let the required INTEGERS be € and ¥
€-¥=36-------->eq.1
€÷¥=4
=>€=4¥---------->eq. 2
now put the VALUE of€ in eq. 1
4¥ -¥ =36
=>3¥=36
=>¥=12------------>eq. 3
now put the value of¥in eq.2 to GET the value of€
€=4¥
=>€=48
Thus the required integers are 12 and 48

30.

6×6+6÷6 answer is 0.46 how can

Answer»

Hey mate, here is your answer...

By BODMAS Rule,
6×6+6÷6
6×6+1
36+1
37

So, the answer is 37..

Hope, it will help you..

KEEP asking....

If really helps you, PLEASE mark my answer as Brainliest ONE....

31.

Please guys help me NO SPAM please.

Answer» HOPE this will HELP you

♥️ PLEASE MARK AS BRAINLIST ♥️
32.

(28)³-(15)³+(-13)³Please help me

Answer»

28^3=21952
15^3=3375
(-13)^3= -2197

21952-3375-2197=18577-2197 =16380

hope it RIGHT....

33.

Maths 9th em study material

Answer» WORK HARD friend
it is ur study material
34.

A man starts from a point, walks 8 km towards north, turns right and walks 12 km, turns left and walks 7 km, turn and walks 24 km towards south, turas right and walks 12 km. In which direction is he from the starting point?(1) North(2) South (3) West(4) East

Answer»

He STARTED his JOURNEY from 4 EAST

35.

Factorise x^2 - 2x - 7

Answer» \bold{Answer :}

Now,

x² - 2x - 7

= x² - 2x + 1 - 1 - 7

= (x² - 2x + 1) - 8

= (X - 1)² - (2√2)²

= (x - 1 + 2√2) (x - 1 - 2√2),

which is the required FACTORIZATION.

#\bold{MarkAsBrainliest}
36.

Evaluate sin^2 30 into cos^2 45+ 4tan^2 30+ 1/2 sin^2 90 + 1/8 cot^2 60

Answer» HEYA FRIEND...✋

here's your ANSWER



FOLLOW the ATTACHMENT above⬆⬆
37.

3x-2y-7=0 and 6x+ky=11=0 have a unique solution of

Answer»

Heya !!



3X - 2Y - 7 = 0 ----------(1)



And,


6X + KY = 11


6X + KY - 11 = 0 -----------(2)



These EQUATIONS are of the form A1X+ B1Y + C1 and A2X + B2Y + C2.

Where,



A1 = 3 , B1 = -2 and C1 = -7



And,


A2 = 6 , B2 = K and C2 = -11






Therefore,



A1/A2 = 3/6 = 1/2 , B1/B2 = -2/K and C1/C2 = 7/11.



For unique solution , we must have




A1/A2 # B1/B2 [ Where # stands for not equal]



1/2 # -2/K





K # - 4




Hence,



K has all real values , other than -4.

38.

25 x 2x 72 are in proportion.what is the value of x

Answer»

What you r asking I can't UNDERSTAND which is X and which is multiple SYMBOL

39.

Find the greatest divider when divided by 357, 192 & 252. least same remainder in each case

Answer»

Take difference of these THREE numbers with ONE ANOTHER and then HCF

357-192
252-192
357-252

now FIND HCF

40.

Find the value of x to do home work

Answer» SEE by LINEAR PAIR
x+20+x= 180
2x=160
x=80 DEGREEE
41.

Simplify this following QUESTIONS and please give the answer.

Answer»

I THINK this will HELP you

42.

Write the terms of the algebraic expressions ax+b

Answer» AX,B are the TERMS of ALGEBRAIC EXPRESSIONS
43.

Who is euclid?what discover

Answer»

He is the father of GEOMETRY. he was the FIRST person to WRITE a COMPLETE ,coherent review of all geometry theory .

44.

Find the value of x I want to home work

Answer»

2x+3x=180
5x=180
x=180÷5
x=36

45.

the ratio between the present age of P and Q is 3 :4 respectively. if Q's present age is 20 years, what will be the ratio of the ages after 5 years?

Answer» HOPE you UNDERSTAND.......
46.

hi guys my papers are starting from 4 august and I am little bit weak in maths can anyone be my maths guide bcoz i want to top this time

Answer»

You Can do STUDY as MUCH as you can.Success will be yours..

47.

in a flight of 600km, a aircraft was slowed down due to bad weather.Its average speed for the trip was reduced by 200km/hr and the time of the flight increased by 30min. Find the duration of flight

Answer»

Let the average speed of the aircraft = U km/h

speed=distance/time

time=distance/speed

time=distance/u

600/u-200=600/u+1/2  (30min=1/2h)

600/u-200=1200+u/2u

by cross multiplication

1200u=1200u+u2-240000-200u

0=u2-200u-240000

0=u2-600u+400u-240000

u(u-600)+400(u-600)

(u+400)(u-600)

THEREFORE u=600 or -400

since speed cant be in negative u=600km/h

time=distance/speed

=600/600

=1HOUR

so the duration of the FLIGHT in average speed is 1hour

but when the speed was reduced the duration was increased by 30min

therefore the speed of flight when reduced the duration will be 1hour 30min

48.

Write about 6 mathematical shapes should be about 100 words

Answer»

Geometrical shapes-

Triangle-consist of 3 SIDES

rectangle-consist of 4 sides and angle between them is 90°

Trapezium-CONSISTS 4 sides ONE pair of sides are parallel.

square-made up of 4 sides and all 4 sides are equal as well as parallel consists of 90°

49.

A is twice as old as B five years ago was three times 20 age find the number

Answer»

Let the B be X and a be 2x.
Five years AGO,
b=(x-5)
a=2x-5
A.q.
2x-5=20+3(x-5)
2x-5=20+3x-15
2x-5=5+3x
3x-2x=-5-5
x=-10 (b)
a=2x =-20

50.

if the cost of 5 chair and 2 table Sa is 750 rupees and 3 chair and 3 table is 540 Rupees then find the cost of one table and one chair

Answer» PLZ MARK as BRAINLIEST ANSWER