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.

Today is my maths exam please solve this problem fast.

Answer»

You can SOLVE it FUTHER

2.

(CosecA+SinA)(SecA-CosA)=1/tanAcotA please solve this one for me

Answer»

Question is wrong because TANA × cot A = 1

the right question is
(COSECA - sinA)(secA-cosA) = (1/(tanA+cotA)

SOLUTION:
LHS = (cosecA-sinA)(secA-cosA)
LHS = ((1/sinA)-sinA)((1/cosA)-cosA)
LHS = ((1-sin²A)/sinA)((1-cos²A)/cosA)
[NOTE: 1-sin²A = cos²A and 1-cos²A = sin²A]
LHS = (cos²A/sinA)(sin²A/cosA)
LHS = (cos²A sin²A)/(sinA cosA)
LHS = cosA sinA/1
[note : 1 = sin²A+cos²A]
LHS = cosA sinA/(sin²A+cos²A)
LHS = 1/((sin²A/cosA sinA)+(cos²A/cosA sinA))
LHS = 1/((sinA/cosA)+(cosA/sinA)
[note : sinA/cosA = tanA and cosA/sinA = cotA]
LHS = 1/(tanA + cotA)

LHS=RHS
Hence proved

#mark as brainliest

3.

Factorise: (2x+3y)³ - (2x-3y)³

Answer»

Use the IDENTITY: a³ - b³ = (a - b)(a² + AB + b²)

(2X+3Y)³ - (2x-3y)³

= [(2x + 3y) - (2x-3y) ][(2x-3y)² + (2x - 3y)(2x + 3y) + (2x + 3y)² ]

= [ 2x + 3y - 2x + 3y ][(4x² + 9y² - 12xy) + (4x² - 9y²) + (4x² + 9y² + 12xy) ]

= [6y][ 4x² + 9y² - 12xy + 4x² - 9y² + 4x² + 9y² + 12xy ]

= [6y][ 4x² + 4x² + 4x² + 9y² + 9y² - 9y² - 12xy + 12xy ]

= [6y][ 12x² + 9y²]

= 6y×3×(4x² + 3y²)

= 18y(4x² + 3y²)


4.

Write the next even number 34_58_52

Answer»

After 34 COMES 36
After 58 comes 60
After 52 comes 54

5.

3957 -(+2965) and 415-(-296)

Answer»

Tq6161715251617165555556262626266262711761616262626626626261616162626252526262616161616166161162625251516225yhahwhhshsgagahahaahhagagahahahahHagsgsgagagssvvxvxgsvsvzgvsvzgsvsgzgshahwhehahaywhehehshsyahqhqhqhscegsstsvsywvsyagecagagagwvsgwvsgagwgshshwyaysyshsgsgsgaggggghhggggsgssshaaayaazgAaaasssswwss

6.

When 1100010 is divided by 0101, what will be the decimal remainder?

Answer»

11.10.......... .............

7.

An alloy contains copper and zinc in ratio 2:11. Find the weight of Cooper, if it has 28.6grams of zinc.CHALLENGING QUESTION

Answer»

REALLY is it a CHALLENGING QUESTION of yours ,then MARK me as BRAINLIEST.
8.

State which of these is a phythagoren triplets4,5,624,10,26

Answer»

24 , 10 ,26 is the PYTHAGOREAN triplet because

( 24)^2+(10)^2 =(26)^2
676= 676

if you LIKE my answer Mark me as brainliest

9.

Form 8 digit numbers from by using 1 2 3 4 5 with repetition is allowed and must be divisible by 4?

Answer»

12345444 is the EIGHT DIGIT NUMBER which is DIVISIBLE by 4

10.

Factorise x4-y4 on apage and send to me

Answer»

X4-y4

= 4(x-y)

is your SOLUTION

plzz MARK as brain LIST

11.

When are two arcs of a circle said to be congruent?

Answer»

If the ARC's shape and size is equal

plz MARK as BRAIN list

12.

A container contains 90 litres of milk.for thus container 9

Answer» PLS TELL the QUESTION CORRECTLY
13.

What should be the angle between two equal vectors if their resultant is to be equal to either of them?

Answer» 60 should be the ANSWER
14.

Answer of alpha square + beta square

Answer»

Α²+β²=(α+β)²-2αβ

Hope This HELPS You!✌

15.

In a circle with centre O, seg PQ is a chord of length 7 cm. seg OA ⊥ chord PQ, then find l(AP).

Answer»

In the attachments I have answered this problem.

Concept:

Pythagoras THEOREM:

In a right angle triangle, SQUARE on

the hypotenuse is equal to SUM of the

SQUARES on the other TWO sides.

See the attachment for detailed solution.

16.

Creating new problems on 1st chapter real number 10th class

Answer»

1.Prove that
ROOT 5 +root 7 is irrational


2.solve LOG 343 to the base49

17.

Creating new problems on 10th class first lesson

Answer»

Yes
Graph of a LINEAR EQUATION
in TWO variable
plzzzzzz give me SOLUTION on
this POINT

18.

How is Euler's Formula defined for solid figures?

Answer»

SOLUTION :-

Euler's formula for any polyhedron that doesn't intersect itself,

the Number of Faces + Number of VERTICES - the Number of EDGES = 2

This can be written : F + V - E = 2

Some examples are as follows.

Name Faces Vertices Edges F + V - E

Tetrahedron 4 4 6 2

Cube 6 8 12 2

Octahedron 8 6 12 2

Dodecahedron 12 20 30 2

Icosahedron 20 12 30 2

19.

What is the meaning of commutative property of addition?

Answer» HEY your ANS is ATTACHED in the PICTURE



20.

What is the least number of cut pieces of equal length that can be cut out if two lengths 10m 857mm and 15m 87mm?

Answer»

10 m 857 mm= 10857 mm
15m 87mm = 15087 mm
The hcf of the 2 NUMBERS is 141
(i.e) 141 mm.

21.

Radius of a solid copper cylinder is 4.2 cm and its height is 16 cm. How many discs of diameter 1.4 cm and thickness 0.2 cm can be made from this cylinder melting it.

Answer» RADIUS of SOLID copper cylinder , R = 4.2 cm
height of solid copper cylinder , H = 16 cm
so, VOLUME of solid copper cylinder = πR²H
= 22/7 × 4.2 × 16
= 22 × 0.6 × 16
= 22 × 9.6
= 211.2 cm²

THICKNESS of disc , h = 0.2 cm
radius of disc , r = diameter/2 = 1.4/2 = 0.7 cm
now, volume of disc = πr²h
= 22/7 × 0.7 × 0.2
= 22 × 0.1 × 0.2
= 0.44 cm²

\textbf{\underline{number of discs}}=\frac{\text{volume of cylindrical copper solid}}{\text{volume of each disc}}

= 211.2/0.44 = 480

hence, number of discs = 480
22.

What is the definition for the composite and prime number?

Answer»

The PRIME NUMBER is DIVISIBLE by 1 and its own

23.

For a cylinder, What is the formula for -a. Curved Surface Areab. Total Surface Areac. Volume

Answer»

It will HELP you......

24.

Find the volume of a cylinder whose height is 10 cm and radius of base is 5 cm (π = 3.14)

Answer»

It is UR ANSWER PLEASE MARK it as BRAINLIST

25.

What is formula for area of eqilateral triangle with height?

Answer»

Ar.of equi. TRIANGLE is under root 3|/4 ×a^2
and HEIGHT is under root 3 /2 ×a

26.

How many 3 digits number can be formed with the digits 5 6 2 3 7 and 9. which are divisible by 5

Answer»

5^4^1 = 20 because in last we have to take only 5

I HOPE it is helpful for U
PLZZ mark it in BRAINLIEST

27.

The daily consumption of milk in a house is 3.25 litre how much milk will be consumed in 30 days

Answer» HEY FRIEND.... HERE IS YOUR ANSWER..... milk consumed in 30 DAYS
3.25*30= 97.5 LITRES
HOPE THIS HELPS YOU MY FRIEND
28.

To stitch a trouser, 1m 30 cm cloth is needed. Out of 15 m cloth, how many trousers can be stitched and how much cloth will remain?

Answer»

Cloth for 1 trouser = 1m 30 cm = 130cm
Total cloth = 15m = 1500cm

No. of trouser
= total cloth/ cloth required for 1 trouser
= 1500/130
= 11.53

Therefore,
11 TROUSERS can COMPLETELY be MADE out of 150m cloth

Ans: 11


Hope it helps...!!

29.

In each example given below, radius of base of a cylinder and and its height are given. Then find the curved surface area and total surface area.(1) r = 7 cm, h = 10 cm (2) r = 1.4 cm, h = 2.1 cm (3) r = 2.5 cm, h = 7 cm(4) r = 70 cm, h = 1.4 cm (5) r = 4.2 cm, h = 14 cm

Answer»

Here is the formula.Now PUT the VALUE from questions.Here the value of π=3.14 or 22/7.

30.

How many times do Hours hand and minutes hand meet in 24 hours

Answer» HEY FRIEND............ HERE IS YOUR ANSWER....... 4 Times they meet ONE is on 3:15, next is on 6:30, next is on 9:45 and FINALLY on 12:00
HOPE THAT HELPS YOU MY FRIEND
31.

A water tank of cylindrical shape has diameter 1 m and height 2 m. Tank is closed with lid. The tank is to be painted internally and externally including the lid.Find the expenditure if the rate of painting is ₹ 80 per sqm. ( π = 3.14)

Answer»

According to the question,

diameter = 1m or, radius(r) = diameter/2 = 1/2 = 0.5m

height(h) = 2m.

Now, we know that surface area of a cylinder is given by 2πr(h+r)

or, 2 x π x 0.5(2 + 0.5) = 2 x 3.14 x 0.5 x 2.5 = 7.85 square metre.

Since the TANK is to be painted both from inside and outside, so it is quite SURE that the surface area will be simply twice i.e. Total surface area = 2 x 7.85 = 15.7 square metre.

Now, if the rate of painting is ₹ 80 per sqm then, for painting 15.7 sqm the COST incurred = RS 80 x 15.7 = Rs 1256.(Ans)

32.

a bag contains 4 red and 5 black balls. another bag contains 5 red and 3 black balls. if one ball is drawn at random from each bag. then the probability that one red and black drawn is?

Answer» TOTAL BALL =4+5+5+3=18 total ball of RED and BLACK =5+3=8 PROBABILITY =8/18 =4/9
33.

The mid point of any diameter of a circle is the centre.State true or false.

Answer» TRUE..................
34.

What is the least number to be subtracted from 11, 15, 21 and 30 each so that resultant numbers become proportional?a. 1b. 2c. 3d. 4?

Answer»

The FACEBOOK GROUP and ROOT CAUSE the IMAGE is the

35.

The longest of all chords of a circle is called a diameter.State true or false.

Answer»

Final Answer : True

Explanation :
Let us make a circle of any RADIUS with some centre A.
=>We observe that when distance between centre and any CHORD increases,then Chord LENGTH decreases.
=> Maximum chord length :- Minimum distance between Centre and Chord = 0
=> When distance between centre and chord is 0,then that chord is of max. length.
=> Unfornutalety, we observe that chord (max) is our DIAMETER.


36.

HiHelp me, what is the value of these

Answer»

Hii
Good MORNING........!!!!;)
Here'si have ANSWER for this QUESTION...
2*3+5-4=7
7 is the answer.
have a marvelous day.... DEAR.....

37.

Collection of properties in2,4,6,8

Answer»

Which CLASS QUESTION ..

38.

Divide the binary numbers: 111101 ? 1001 and find the remainder

Answer»

111101=61--------------------------------------32 16 8 4 2 1

1 1 1 1 0 1

1001=9-----------------------------------------8 4 2 1

1 0 0 1

61/9=7 is the remainder.

39.

The value of k for which 3 is a root of the equation kx squared-7x+3=0 is

Answer»
{kx}^{2} - 7x + 3 = 0 \\ k {(3)}^{2} - 7(3) + 3 = 0 \\ 9k - 21 + 3 = 0 \\ 9k - 18 = 0 \\ 9k = 18 \\ k =  \frac{18}{9}   \\ k = 2
HOPE it HELPS
40.

Two number are you less than a third number by 30% and 37% how much percent is the second number less than the first

Answer»

Let the third number is x.
then FIRST number = (100-30)% of x
= 70% of x = 7x/10

Second number is (63x/100)

DIFFERENCE = 7x/10 - 63x/100 = 7x/10

So required PERCENTAGE is, difference is what percent of first number

=> (7x/100 * 10/7x * 100 )% = 10%

41.

Two numbers are in ratio of 3 : 5 and their lcm is 225. the smaller number is,

Answer»

The SMALLER NUMBER is 45

42.

A sector is the area enclosed by two radii and a chord.State true or false.

Answer»

It's TRUE; no DOUBT....

43.

A diameter divides the circle into two unequal parts.State true or false.

Answer»

FALSE!!! It DIVIDES the CIRCLE EQUALLY!!

44.

Find how many litre of water will a cuboidal fish tank contain if its length, breadth and height are 1 m, 40 cm and 50 cm respectively.

Answer»

Hi ,

Dimensions of the CUBOIDAL fish tank :

length = l = 1 m = 100 cm

breadth = b = 40 cm

height = h = 50 cm

Volume of the tank ( V ) = lbh

V = 100 cm × 40CM × 50 cm

V = 200000 cm³

V = 200000 × 1/1000 litres

V = 200 litres

Therefore ,

Capacity of the WATER tank = 200 litres

I HOPE this helps you.

: )

45.

How is the volume of a solid is defined?

Answer»

Have you seen your notebook has length , width and height ? Have you see circket BALL it occupies some space on your hand if you take it. what are these ? of course , solid .
\textbf{The amount of space occupied}\\\textbf{ by solid is known as }\\\underline{<klux>VOLUME</klux>\:of\:solid}

for EXAMPLE :- volume of cylinder is given by 2\pi rh.
where r is the radius of base of cylinder and h is height of cylinder.
similarly volume of CUBE is \text{side length}^3

46.

What is the probability of getting at least 2 heads while tossing a coin 3 times

Answer» SAMPLE space for tossing a coin 3 times
HHH,HTT,THT,TTH,HHT,HTH,THH,TTT
PROBABILITY of getting at LEAST 2 HEADS
=probability of getting 2 heads +probability of getting 3 heads
=4/8=1/2
47.

a and b can do a piece of work in 12 days b and c can together do it in 15 days if a's efficiency is twice that of c then the days required for c alone to finish work

Answer» TOTAL WORK done=capacity *time TAKEN by that INDIVIDUAL ..
Use above formula.
48.

A circle divides the plane on which it lies into three parts.State true or false.

Answer»

True :

EXPLANATION :
1) LET us consider a circle in x-y plane.
Then, it DIVIDES that plane into THREE different regions.
= Circular part
= Outer part of Circle
= Interior part of circle.

Blue REGION : Interior Part
Dark Red : Circular Part
Light Red : Outer Part.

49.

Two third of three fifth of one fourth of a number is 24. what is 40 of that number

Answer»

Let no. = a

2/3 x 3/5 x 1/4 x a = 24

6a/60 = 24

a = 24 x 60/6 = 240

Now,

40 of 240 = 40 x 240 = 9600


hope it help u

plz MARK as a brainliest & follow me

50.

The sum of present age of sameer and his father is 54 years six year ago his father was 6 times as old as his son find their present age

Answer»

Let the present age of SAMEER be x year.
And, the present age of his father be y years.
A/q
x + y = 54 .............(i)
SIX years AGO,
Sameer's age = x - 6
His father's age = y - 6
Therefore, 6 ( x - 6 ) = ( y - 6 )
====> 6x - 36 = y - 6
====> 6x - y = 30 ..................(ii)
By adding eq. (i) and (ii). We have,
====> x = 12 ..............Answer
Put the value of x = 12 in eq. (i)
====> x + y = 54
====> 12 + y = 54
====> y = 42 .......................Answer
Hence, The present age of Sameer is 12 years.
And, His father's present age is 42 years.