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.

You the total surface area of the solid hemisphere in 462 CM square find the volume

Answer»

Let R = radius of solid hemisphere
Total SURFACE AREA of hemisphere = 462 cm2
⇒ 3π r^2 = 462
⇒ 3 × 22/7 × r^2 = 462
⇒ r^2 = 462 × 7 / 3 × 22
 r^2 = 49⇒ r = 7 cm
Now, Volume of hemisphere= 2/3π r^3
= 2/3 × 22/7 × (7)^3 
= 2/3 × 22/7 × 7 ×7 ×7
= 44 × 49/3 
= 718.67 cm3

2.

9. The surface area of a cube is 294cm2.Find the volume of cube.

Answer»
tsa = 6 {a}^{2}  \\  \frac{294}{6}  =  {a}^{2}  \\  \sqrt{49}  = a \\ vol =  {a}^{3} \\ vol =  {(7)}^{3}  \\ vol = 343 {cm}^{3}
3.

A trader marks his goods 50% above cost price and allows a discount of 25% on it. What is his gain percent ?

Answer»

Trader mark his GOOD above COST price = 50%
Allow a discount = 25%
His GAIN % = 50%-25%=25%(Ans)

4.

the population of a country in the year 2004 was 50000 in the population is reduced by 20% what should be the population of the country in the year 2006

Answer»

ANSWER:


Step-by-step explanation:

total population in 2004 =50000

20% of population in 2004 = 20 ÷100×50000

                                             = 10000

population of COUNTRY in 2006 =population in 2004 + 20% of population in 2004

                                                = 50000 + 10000

                                                = 60000                                                

                                             =

5.

Antilog-230.3÷100 find the value

Answer»

230.3=690
690/100=6.9

6.

The area of square field is 1/2 hectare then diagonal of aquare

Answer»

-------------------------HEY DEAR-------------------------

HERE IS YOUR ANSWER.......................

***********************************************************************

AREA = (SIDE)^2

  1/2  = (SIDE)^2

 SIDE = 1/ ( ROOT 2)

WE KNOW DIAGONAL = (ROOT 2 )(SIDE)

                                       = ROOT 2 / ROOT 2

                                       => 1

SO DIAGONAL IS 1

HOPE IT HELPS YOU.........

***********************************************************************

THANKS...

MARK ME BRAINLIEST PLEASE...

7.

The cost of 4 mango is 36 rupees what is the cost of one mango

Answer»

Cost of 4 MANGOES = 36

Cost of 1 MANGO = 36/4 = 9

Therefore, one mango costs 9 rupees

Hope it helps

Mark as brainliest

8.

Convert the percentages into fractions: (a)18.75% (b)198/3

Answer» hey mate.
(a) =  >  \frac{1875}{100}  \\  \\ (b) =  > 66\%

HOPE this HELP you
9.

What is the composition of magnente ore

Answer»

Magnetite is a rock mineral and ONE of the main iron ores, with the CHEMICAL formula Fe₃O₄. It is one of the oxides of iron, and is ferrimagnetic; it is attracted to a MAGNET and can be magnetized to become a PERMANENT magnet itself. It is the most magnetic of all the naturally-occurring minerals on Earth.


hope it helps you

please mark it as a brainliest answer!

10.

40 लोग 30 दिन मे 200 kg चावल खाते है तो 30 लोग 500 kg चावल कितने दिन मे खायेंगे ?

Answer»

✍HERE IS YOUR SOLUTION...⤵⤵
========================================

\underline{SOLUTION} ➡

Let ,\\ \\ Required \: \: no. \: \: of \: \: days \: = x

\underline{Arrangement} \: : - \\ \\ \\ |No. \: \: of \: \: person| \: \: |Portion \: \: of\: \: food| \: \: |Days| \\ - - - - - - - - - - - - - - - - - - - \\ 40 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 200\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 30\\ \\ 30\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:500\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \\

So, \\ \\ x = 30 \times \frac{40}{30} \times \frac{500}{200} \\ \\ = > x = 40 \times \frac{5}{2} \\ \\ = > x = 20 \times 5 \\ \\ = > x = 100

Therefore, \: \: No. \: of \: required \: days \: = 100

Hence, \: \: 30 \: \: persons \: \: can \: \: finished \: \: 500 \: kg \: \: \\ rice \: \: in \: \: 100 \: \: days \: .

___________________________________

✝✝…HOPE…IT…HELPS…YOU…✝✝

11.

2 hour 8 minutes equal to how many hour

Answer» 2 HOUR 8 min=2+2/15hr =32/15 hr
1min =1/60 hour
8min=8/60hour=2/15hour
12.

R square -r-r square

Answer» R^2-r-r^2
= -r
............
13.

Equal to 3500 time equal to 8 months

Answer»

Here, FORMULA., PTR/
principal=3500
time taken=8 months
Rate=8%

3500*8*8%/100=2140

14.

Please do it quickly, it's very urgent because Tomorrow is my examSimplify [(1/3)¯²– (1/2)¯³÷(1/4)¯²

Answer»
  • [(1/3)⁻² - (1/2)⁻³  ÷ (1/4)⁻²]

  = [ 3² - 2³ ÷ 4²]

   = 9 - 8 /16

    = 9 - 1/2 = 17/2.




Thank U.

15.

Give me answer of 11th question ,(ii)

Answer»

No 1 ANSWER is 70 % and 30 %

16.

I brought one notebook for rupees 6 how many notebooks will get for rupees 48

Answer» 1 NOTEBOOK =₹6
x notebooks= total rupees/ cost of 1 notebook
x notebooks=48/6
x notebooks=8

Total =8 notebooks
17.

X-2x+2-16x/3+5=3-7x/2

Answer»

X = 24/7

HOPE it will HELP you

18.

Frame question for this A) . There are 10 packets of sugar .Arun paid 100 rupees for all the packets

Answer»

Arun bought 10 packets of sugar. He paid 100 rupees ALTOGETHER. FIND the cost of ONE packet of sugar?

Hope it helps

Mark as BRAINLIEST

19.

the train fare from Delhi to Mumbai is 1500plus a 5 %surcharge. find the total train fare for the journey.

Answer» GIVEN DELHI to Mumbai FARE of TRAIN = 1500

and surcharge = 5℅= 105/100×1500= 1575

now according to question,

total fare of journey= 1575

hope it help you

20.

A field is in the form of paralleogram whose base is 40 dam and height is 35 m find the cost of watering the field at the rate of 50p/m square

Answer»

Here,base=40dam
HEIGHT=35m
convert 40dam into m
1dam=10,
since,40dam=400m
Area of parallelogram=base× height
=400m×35m
=14000m²
50paise=₹1/2
cost of WATERING the 1m² field=₹1/2
then,cost of watering the 14,000m² field=₹1/2×14,000
=₹7,000
Hope it's HELPFUL for you,so
PLZ .....MARKED ME AE BRAINLIST

THANKING YOU!!!!!!!!

21.

Cost of 80 articles for 2400 rs and sells them for a profit of 16%. find selling price of 1 article

Answer» 2400
--------- × 116/100 = 34.8₹
80
22.

The ages of two person are in the ratio 5:7.Sixteen years ago their ages were in the ratio 3:5. Their present ages are

Answer»

dear this is similar answer

Let the ages of TWO boys be x and y RESPECTIVELY.

x/y= 5/7

x= 5*y/7

Now 8 YEARS ago ratio was 7:13.

(x-8)/(y-8)=7/13

13(x-8)=7(y-8)

13x-104=7y-56

13{5*y/7}=7y+48

65y= 49y+336

16y=336

   y=336/16

   y=21

Therefore,  x=5*21/7

                   x= 15

Current Ages of two boys are 15 and 21 respectively.

23.

The area of a square is four times the area of a rectangle.The length of the rectangle is 25 cm and its breadth is one cm less than one fifth of its length.What is the perimeter of the square

Answer»

Answer:


Step-by-step explanation:

Solution,

LENGTH of rectangle=25cm

Given in the question,

BREADTH is 1cm less than one/FIFTH of length

Length=25÷5

=5

=25-5( 1cm less than one fifth)-1

=19 cm

Area of the rectangle,

=Length×Breadth

=25×19

=475cm2

Area of square 4 times the area of the rectangle,

=475×4

=1900cm2

So, area of square

=1900cm2

24.

You have to distribute 96 oranges equally in 3 baskets how many oranges will be there in each basket

Answer» 32 ORANGES in each BASKET.....
25.

Pls answer Q5 (a) (b) (c) with proper steps

Answer»
\text{5. A = $x^2 + 4$}\\ \\ \text{B = $y^2 - 4$}
____________________________

a. \\ A^2 = (x^2 + 4)^2 \\ \\ ={ ( {x}^{2} ) }^{2}  + 2 \times {x}^{2}  \times 4 +  {(4)}^{2}  \\  \\  =  {x}^{4}  + 8 {x}^{2}  + 16
____________________________

b. \\ B^2 = (y^2 - 4)^2 \\ \\ ={ ( {y}^{2} ) }^{2}  - 2 \times {y}^{2}  \times 4 +  {(4)}^{2}  \\  \\  =  {y}^{4}  -8 {y}^{2}  + 16
_________________________

c. \\ (A + B)^2 \\  \\  = (x^2 + 4 + y^2 - 4)^2 \\ \\  = (x^2 + y^2)^2\\ \\ ={ ( {x}^{2} ) }^{2}  - 2 \times {x}^{2}  \times y^2 +  {(y^2)}^{2}  \\  \\  =  {x}^{4}  -2 x^2 {y}^{2}  + y^4
26.

The ratio 92 ratio 150 in its simplest form is

Answer»

92 : 150

HCF of 92 and 150 = 2

92 /2 = 46

150/2 = 75

The simplest FORM is 46 : 75

Hope it HELPS

MARK as brainliest

27.

if the 5th and 12th terms of an A.P are -4 and -18 respectively. find the sum of first 20 terms of the A.P

Answer»

ANSWER:


Step-by-step EXPLANATION:


28.

If altitudes of a triangle are 12,13 and 15 then find its sides

Answer»

1÷2 +12=6
6+6=12
1÷2+13=6.5
6.5+6.5=13
1÷2+15=7.5
7.5+7.5=15

29.

The ratio 92 ratio 115 in its simplest form is

Answer»

Answer:

4:5

Step-by-step explanation:

92 :115

H.C.F. of 92 and 115 is 23.

So, 92/23 = 4

and 115/23 = 5

Simplest form of 92 : 115 = 4 : 5

30.

Find the third proportional to 9 and 16

Answer»
  • Here

a = 9               b = 16

  • Third proportion = b²/a = 16 X 16/9 = 256/9.


Thank U.

31.

Plz do 4th question i promise that i will mark brilliant

Answer» HOPE this will HELP you
MARK me BRAINLEIST
32.

Find whether 2a^3+a^2-5a+2 is divisible completely by 2a+3 or not

Answer»

Here, f(X)= x^3 + ax^2- 2X + a + 4
And, g(x)= x + a

We have, x + a = 0
=> x = -a

Now, PUT the value thus found into f(x) function
f(-a) = (-a)^3 + a(-a)^2 - 2(-a) + a + 4 =0

=> -a^3 + a^3 + 2A + a = -4

=> 3a = -4

=> a = -4/3

33.

Find reminder if x raze to power 2017+1 is divisible by x+1

Answer» \bold{\boxed{HEY!!!}}



HERE IS YOUR ANSWER :-



( {x}^{2017}  + 1) \div( x + 1) \\  \\  \\ \: let \: p(x) =  {x}^{2017}  + 1 \\  \\  \\ by \: the \: remainder \: theorem \:  \\  \\  \\ p( - 1) \: will \: be \: the \: remainder \\  \\  \\ p( - 1) =  {( - 1)}^{2017}  + 1 \\  \\  \\  =  - 1 + 1 \\  \\  \\  = 0 \\  \\  \\ so \: 0 \: is \: the \: remainder \:
34.

A boy threw a pebble 15m high in the air which fell and settled at the bottom of the pond by 10m deep.By how much distance did the pebble fall

Answer» 15M high in the air
and,10m deep in the POND
so,DISTANCE by the pebble= 15m+10m=25m
35.

Can anyone do congruent of triangle abc and triangle adc ?

Answer»

Here is your ANSWER it MAY HELPS U

36.

Two angle of a quadrilateral are 80and135 the other two angles are equal find the two other angle

Answer»

ANGLE A+ an.B+an.C+an.D=360

80+135+an.C+ an.C=360

215+2an.C=360

2 an.C= 360-215

an.C=145/2

So,

an.C&an.D are 145/2

37.

A bus travel 72kmperhour but 5sec in how many distace travell it?

Answer»
  • SPEED = 72 km/hr = 72 x 5/18 m / SEC = 20 m / sec .
  • TIME = 5 sec .

Distance = Speed x time

               = 20 x 5 = 100 m.




Thank U.

38.

The curved surface area of a cylinder is 4400cm.sq and the circumference of its base is 110cm. Find the height

Answer» \huge{hey\:mate}

Here is your answer > >

CURVED surface area of cylinder = 4400 cm^2

2 \pi rh=4400....... (1)

Circumference of the cylinder=2 \pi r

110= 2 \pi r...... (2)

PUTTING the value of (2) in (1)

110 h=4400

h=4400/110

h=40 cm

Hope it helps!

Thankyou ☆ ☆

39.

A can do a work in 6 days less than B. A and B both do work in 4 days .find B how many days complete the work.

Answer» SEE the ATTACHED PICTURE.
40.

Find the value ofgive me the full method

Answer»

30+(-23)+(-63)+55

=(30+55)+(-23-63)

=85+(-(23+63))

=85-86

=-1

41.

MATHS CLASS - XSURFACE AREAS AND VOLUMESA hemispherical depression is cut out from one face of a cuboidal wooden block such that the diameter of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

Answer»

GIVEN:


The diameter of the hemisphere is l .

The radius is Diameter / 2

Let r be the radius ......

==> r = l / 2

The edge of the cube is l .

We NEED to find the surface area after the hemisphere is CUT.

Look at the figure I attached ......

We know that the surface area of a cube is 6 l^2 where l is the edge of the cube ........

Also the surface area of the hemisphere will be counted.

Then we need to subtract the base area of the hemisphere because it has been cut out .


Surface area of the cube is :

6 l^2.....................................(1)


Curved surface area of the hemisphere is :

2 \pi r^2

But r=\frac{l}{2}

\bf{Area} = 2 \pi (\frac{l}{2})^2

\implies 2 \pi \times \frac{l^2}{4}

\implies \pi \times \frac{l^2}{2}..........................(2)


Area of the base of the hemisphere is:

\pi \times r^2

\implies \pi \times \frac{l^2}{2^2}

\implies \frac{l^2}{4}\times \pi ..............................(3)


ADDING (1) and (2) and then subtracting (3) will GIVE us the answer;

Surface area of the remaining solid :-

6 l^2 + \pi \times \frac{l^2}{2} - \pi \times \frac{l^2}{4}

\implies 6 l^2 + \pi l^2 ( \frac{1}{2} - \frac{1}{4} )

\implies 6 l^2 + \pi l^2 \times \frac{1}{4}

\implies l^2 ( 6 + \frac{\pi}{4})

\implies l^2 ( \frac{24 + \pi}{4})

\implies \frac{l^2}{4}( \pi + 24)


The surface area of the remaining solid is:

\boxed{\frac{l^2}{4}( \pi + 24) }


Hope it helps you

____________________________________________________________________



42.

Please solve this question x+y=54 find it

Answer» \huge{hey\:mate}

Here is your ANSWER > >

x+y=54

x=54-y

● PUT y=20

x=54-20=34

●Put y=21

x=33

●Put y=24

x=54-24=30

Final values 》》

x=34, y=40

x=33, y=21

x=30, y=24

Hope it HELPS!

THANKYOU ☆ ☆
43.

What is the smallest digit that can be inserted to make the number divisible by the given number?

Answer»

Where is the GIVEN NUMBER?

44.

a copper cube with edge 27cm is melted and made into smaller cubes each having edge of 9cm. how many such small copper cubes do we get?

Answer»

Solution :

EDGE of the copper cube ( X ) = 27cm

edge of smaller cube ( y ) = 9 cm

If copper cube is MELTED and made

smaller cubes .

Let the NUMBER of smaller cubes = n

n = ( volume of big cube )/( volume of smaller

cube )

=> n = x³/y³

=> n = ( x /y )³

=> n = ( 27/9 )³

=> n = 3³

Therefore ,

n = 27

••••

45.

Rajni borrowed rs 2000 from a friend for 2 years at 12% per annum and rs 3000 from the bank for 2 years at 15% per annum. How much total interest did she pay?

Answer»

SI=(2000×12×2)/100

Si=Rs 480


Si=(3000×15×2)/woo

Si=900

TOTAL Si=900+480

Total Si=Rs 1380


46.

divide 150 into 3 parts such that the second number is five-sixths the first and the third number is four-fifths the second.....

Answer»

Solution

Let the three part be a, b and c.

First part = 'x'

SECOND part = \dfrac{5}{6} of 'x' is \dfrac{5}{6}x.

Third part = \dfrac{4}{5} of second part

                ⇒  \dfrac{4}{5} ×  \dfrac{5}{6}x = \dfrac{2}{3}x

                                             

Sum of the three PARTS is 150

According to the question

\implies\dfrac{x+5x}{6}+\dfrac{2x}{3}=150\\\\\\\implies6x+5x+4x=6\times150\\\\\\\implies15x=900\\\\\\\implies x=\dfrac{900}{15}\\\\\\\implies x=\boxed{\underline{\boxed{60}}}

                                             

Let us verify our answer

For verification we have to PUT 60 at the place of 'x'

When we put value of 'x' then we obtain,

\implies\dfrac{60+5\times60}{6}+\dfrac{2\times60}{3}=150\\\\\\\implies\dfrac{360}{6}+\dfrac{120}{3}=150\\\\\\\implies6\times60+5\times60+4\times60=6\times150\\\\\\\implies360+300+240=900\\\\\\\implies900=900

Here, LHS=RHS

Hence, it is VERIFIED

                                                 

First number is 60

Second number is 5/6 of 'x'

                           = 5/6 × 60

                           = 50

Third number is 2/3 × 'x'

                        = 2/3 × 60

                        = 40

47.

Hipls answerfastit's urgent

Answer» LET the ages be 5x and 7x
after 4 years
it will be
5x+4 and 7x+4
according to the question
5x+4+7x+4=56
12x+8=56
12x=48
x= 4
thus ages are 20 and 28


if you find my SOLUTION upto your EXPECTATIONS and you UNDERSTAND it, PLS mark me the brainliest
48.

Find the time. 3 h 20 mins after 11:45 (plz give the formula also)

Answer»

HEY MATE HERE IS YOUR ANSWER:


The time = 11h 45 MIN + 3H 20MIN
= 15h 05min
CONVERT 15h 05min in clock time
The time= 3:05


HOPE IT WILL WORK

49.

There are 650 boys and 600 girls in school. what percentage of girls in the school.

Answer» HOLA MATE HERE IS UR ANSWER ♥♥♥♥♥

8x+5x=650

13x=650 X=50

So check by finding no of GIRLS
650+50=700

700*3/7=300 girls

700*4/7=400 ....

by adding 50 girls more WOULD give

HOPE IT HELPS U ♥♥♥♥
50.

Find the sum of 51term of the AP whose second term is 2 and the 4th term is 8

Answer»

PLEASE MARK it as BRAINLIEST