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.

Find a and b if root2 + root 3 __________ = a-broot 6 3root2-2root3

Answer» HOPE IT WILL HELP YOU
2.

Examine the continuity of the f(x)={(sin2x)\x}2 if x = 0

Answer»

It is not defined.

as its DENOMINATOR is 0.
and the ANSWER will GO on INFINITY

3.

Perimeter of cricle and area of cricle.

Answer» CIRCUMFERENCE of circle=2pir
area of circle=pi R SQUARE
4.

Cos5

Answer»

The answer is GIVEN below :

Trigonometry is the study of angles and its ratios. This study prescribes the RELATION amongst the sides of a triangle and angles of the triangle.

There are sine, cosine, tangent, cot, sectant and cosec ratios to an angle of a triangle.

Let me tell you an interesting fact about Trigonometry.

"Triangle" > "Trigonometry"

Remember some formulae now :

sin²θ + cos²θ = 1

sec²θ - tan²θ = 1

cosec²θ - cot²θ = 1

Want to learn more!

Here it is :

sin(A + B) = sinA cosB + cosA sinB

sin(A - B) = sinA cosB - cosA sinB

COS(A + B) = cosA cosB - sinA sinB

cos(A - B) = cosA cosB + sinA sinB

SOLUTION :

Now, cos(5π/3) × cos(37π/6)

= cos[(5 × 180)/3]° × cos[(37 × 180)/3]°

= cos300° × cos2220°

= cos(360° - 60°) × cos{(360° × 6) + 60°}

= cos60° × cos60°,

since cos(2nπ ± θ) = cosθ, where n = 1, 2, 3, ...

= ½ × ½, since cos60° = ½

= ¼

Thank you for your QUESTION.

5.

All formulas of primeter areas circle

Answer» HI mate

Here is your answer.


Perimeter of circle =
2\pi \ \gamma


AREA of circle =
\pi \gamma  {}^{2}


HOPE THIS IS HELPFUL FOR YOU


PLEASE SELECT MY ANSWER IN BRAIN LIST IF YOU LIKE MY ANSWER
6.

5x+8y=9, 2x+3y=4 solve by cross multiplication method

Answer»

5x+8y=9.........1
2x+3y=4..........2
multiply first by 2and second by 5 we get,
10x+16y=18
10x+15y=20
y=-2 put in equation ONE
5x+8(-2)=9
5x+-16=9
5x=25
x=5
hope it's HELPFUL PLEASE BRAIN list

7.

A number consists of two digits whose sum is 9 if the digits are reversed the new number is 3/8 of first number. find the number

Answer» LET the one's digit no. =X
so, tens digit no. =9-x
No formed:
x+10(9-x)
x+ 90 -10x
90-9x


After interchanging
Ones digit = 9-x
tens digit =x
New no formed:
9-x+ 10(x)
9-x+10x
9-9x

ATQ
3/8(90-9x) = 9-9x
135/4-27x/8=9-9x
9x -27x/8=9-135/4

The question is wrong the answer will be in NEGATIVE.
8.

A man travel a distance at a speed of 12km/h and return at 9km/h.lf the total time taken by him is 3h30min find the distance he traveled one way

Answer»

18kms is the ONE WAY DISTANCE

9.

Explain 5×4×3×2×2+3 is a composite number

Answer»

Composite NUMBER means product of PRIMES
3 [5×4×1×2×2+1]
3 [5×2×2×1×2×2+1]
3 [81]
3×3×3×3
yes it is composite number

10.

Plz tell me this I am an able to do this question

Answer» SORRY I can't UNDERSTAND Your WRITING
11.

if the retail selling price of 7 boxes of Sikkim supreme juice 2100 which includes 12% vat and 5% retailers commission what is the wholesale cost Price of 1 box of juice

Answer»

When X =y
7x=y+2100
x-y=2100/7
x-y=300

12.

Write all properties of triangles.

Answer»

Properties of triangles are :-
EQUILATERAL TRIANGLE
1. three angles should be EQUAL with MEASURE of 60 degreee.

2. three sides should be equal
3.three lines of symetry

ISOCELES TRIANGLE
1. two sides are equal.
2.two angles are equal
3. one LINE os symetry

SCALENE TRIANE
1. no sides are equal.
2. no angles are equal
3. no line os symmetry.

A triangle CONTAINS 3 straight line ,3 angles and 3 corners

Sum of all three angles is 180 degreee.



hope it helps uuuu.....

13.

Write all properties of tringle

Answer»

∆ has 3 sides
∆ has 3 ANGLES
∆ 's all 3 angles SUMS is 180°

14.

Derivative of

Answer»

Let F(X) = 2 √(1-x)

f'(x) = d/dx [ 2 √(1-x) ]

= 2 d/dx ( √1-x) * d/dx(1-x)

= 2* 1/2 * 1/√(1-x) * -1

= \frac{-1}{ \sqrt{1 - x} }

HOPE HELPED !

15.

What is factor theorem and remainder theorem explain in details the statement

Answer»

Factor theorem the algebra the factor theorem is a theorem linking factor and zeros of polynomials it is a SPECIAL CASE of the remainder theorem the factor theorem STAYS that are polynomials has sector if and only if


remainder theorem in Algebra the polynomials remind theorem of little bezouts theorem is an application of Euclid division of polynomials its States that the reminder of the division of a polynomials by a LINEAR polynomials is equal

16.

If x =√3+1/2,find the value of 4xcube +2xcube -8x +7

Answer» HOPE it will HELP you..
17.

Show the function f: r➡️r. defined f(x)=1/x is one one and onto

Answer»

Hello friend..!!

according to the question we should show the FUNCTION, 1 / x is ONE - one and onto.

1) to prove it is one - one :

let. f( x1 ) = f(x2)

implies, 1 / x1 = 1 / x2

implies, x2 = x1 --------------( 1. )

implies, x1. = x2

therefore, f ( x) is one - one function.

2) to prove it is an onto function :

let, y = 1 / x

implies, x = 1 / y

for all y € R, there exist at least one X in R such that,

f( x) = f ( 1 / y)

= 1 / ( 1/y)

= y.

therefore f( x) is onto function.

______________________________

hope it helps..!!!

18.

24 words how many's maulik utpadak24 Shankar Ki Bollywood Palak kitne kitne hai

Answer» PTA NHI HA MUJHA
OKK...



.
19.

Answer the above questions with proper explanation

Answer»

[I already SOLVED 3 no. problem in your previous question. So, I am solving the 4th one only.]

The answer is given below :

Given,

a = 3 - √n, where n is a NATURAL number,
n = 1, 2, 3, ...

To find the least positive value of 'a', we need to put n = 2, so that 'a' BECOMES the least.

When n = 2,

a = 3 - √2

So, the least value of 'a' being 'p', p = 3 - √2

Now,

p = 3 - √2

= 2 - √2 + 1

= (√2)² - (2 × √2 × 1) + (1)²

= (√2 - 1)²

Since, p is positive,

√p = √2 - 1

and

1/√p = 1/(√2 - 1)

= (√2 + 1)/{(√2 - 1)(√2 + 1)},
by rationalising the denominator by multiplying both the NUMERATOR and the denominator by (√2 + 1)

= (√2 + 1), since (√2 - 1)(√2 + 1) = 2 - 1 = 1

Now,

√p + 1/√p

= √2 - 1 + √2 + 1

= 2√2

So, option (1) is correct.

Thank you for your question.

20.

Definitions of types of triangles based on sides and based on angle.

Answer»

Hello user!!!!
The types of triangles based on sides are:
1) EQUILATERAL triangle: this type of triangle has all the sides of EQUAL length.
2) Isosceles triangle: this type of triangle has only TWO sides of equal length.
3) Scalene triangle: this type of triangle has all the sides of different lengths.

The types of triangles based on angles are:
1) RIGHT angled triangle: 90 degrees
2) obtuse angled triangle: more than 90degrees
3)ACUTE angled triangle:less than 90 degrees
4) straight angled triangle: 180 degrees
hope u understood
and plz mark this as a brainliest question

21.

A rectangular metal sheet measures 8cm×6cm.Four. Four quadrant of circles each of radius 2cm are cut away at the corners then find out the area of remaing pertion?

Answer» AREA of SHEET = 8×6=48cm^2
area of FOUR QUADRANT= 4×(1/4×22/7×2×2)
=88/7cm^2
Remaining area = 48-88/7
=(336-88)/7
= 248/7
=35.43cm^2
22.

If 16x+4x is 10more than 14, what is the value of 8x

Answer»

16x+4x=14+10
20x=24
x=24/20
x=6/5(LOWEST FORM)

8x=8×6/5
=48/5

23.

Find the missing number 235+ =1000

Answer» HELLO FRIEND,

The MISSING no. is .....
=> 1000-235
=> 765
24.

A_1/a=b; b_1/b=c;c_1/c=a find 1/a+1/b+1/c

Answer»

I THINK this was a CORRECT MATH

25.

if 14. men work 4 hours/days daily and complete the work In 18 days then 12 men's work 8 hours /day then how much time it taken to complete work

Answer»

Let TIME TAKEN be x
men HOURS days
14 4 18
12 8 x
for ur understanding dont write it in ur notebook( u have to solve it by arrow method but by texting arrow cant be given so apply arrow as instructed- men UPWARD means from 12 to 14..hours DOWNWARD means4 to 8...days downward means 18 to X..)

Now,12/14=4/8×18/X
=12/14=36/4x
4X×12=36×14
X=36×14/48
=21/2
= 10 and half days

26.

Plsss solve this q.no 53&54

Answer»

I GAVE you the solution paper and see if your doubt MAY GET CLEAR.

27.

Solve by cross multiplication 3x+2y=48x+5y=9

Answer» HEY...
it MAY HELP you
28.

(x+1) (x+2) (3x-1) (3x-4)+12

Answer»
=  ({x  }^{2}  + 3x + 2)(9 {x}^{2}  - 15x + 4) + 12 \\ =  ( {x}^{2}  + 3x  + 2) (1)(9 - 5 + 2) + 12 \\   =  ({x}^{2}  + 3x + 2)(6) + 12 \\  = 6 {x}^{2}  + 18x + 24
29.

Find the proportion of 8:16and12:15

Answer»

Here is U R answers
.......

8:16::12:15

8/16

4/8::

12/ 15

4/5

total proportion are correspondence
..
4:8::4:5
it's u r ANSWER
...



30.

Answer this please ok

Answer»

Your ANSWER is in the PIC
HOPE it HELP you

31.

A number is divisble by 11 & 91 what is the sum of the digits of the smallest such number

Answer»

The answer is given below :

Since, the number is divisible by 11 and 91, to find the number, we need to find the lcm of 11 and 91.

Now, 91 = 1 × 7 × 13 and 11 = 1 × 11

So, the lcm of 11 and 91

= 1 × 7 × 13 × 11

= 1001

So, the smallest such number is = 1001.

Thus, the SUM of the DIGITS of the number 1001 is

= 1 + 0 + 0 + 1

= 2

Thank you for your QUESTION.

32.

A man goes 5 m in East and then 12 m in North direction. find the distance fromthe starting point

Answer»

The distance COVERED by the MAN from starting POINT is 12 m+ 5 m =17m

33.

A man bought bananas as the rate of 10 for ₹45 and sold at the rate of one dozen bananas for ₹51. Find his gain or loss %. solve with full process

Answer» HOPE this HELPS you ☺
34.

the length of the shadow of a post becomes 3 CM smaller when the angle of elevation of the sun increases from 45 degree to 60 degree find the height of the post

Answer»

See the image which which i have ATTACHED and TELL me if the solution is WRONG.

35.

Can a pilot in indigo sport a long beard like sardar but well maintained???

Answer» NOOO !!! only sardar can have BEARD not anyone ....and the ONE who has regional IDENTITY like Muslims..
36.

2y - x = 8, 5y - x = 14, y - 2x = 1 solve this

Answer» 2Y - x = 8 

x = 2y - 8

Also, 5y - x = 14

But x = 2y - 8

So, 5y - 2y = 6 ⇒ 3Y = 6 ⇒ y = 2

x = 2y - 8 = 4 - 8 = -4

So, y = 2 and x = -4
37.

The following number are divisible by 3 .Give the possible values of a,b or c in the numbers. a83

Answer»

783/3 is answer
783/3=261

38.

Solve it after the last process of mine!! dont use any method only solve by my process

Answer» HOPE this HELPS you ☺☺
39.

If log 2 base power 7=m then what is the value of log 28 base power 28

Answer»

Log28=1 because 28^1=28
28.

40.

Q no. 9 and 10 plz fast

Answer»

See the question... it tells U it INCREASES 10 cm per month. For 1 year multiply the given value by 12. Now 10*12=120cm. Now in 5 years you have to multiply it by 5 as it is now converted into uears FORMAT. 120*5=600cm.

You know that 600cm =6m?
Therefore the HEIGHT will be 16 m

41.

Full form of who???????

Answer»

Good Morning mate

Heya ur answer
_____________

Full form of WHO is World HEALTH Organisation.

HOPE this HELPS.

42.

How many 3 digit number can be constructed using the digit 1,2,3,4 without any repetition

Answer»

I THINK ANSWER MAY be Three digit number

43.

The sum ok the three consecutive even integers is 312. Find the integers.

Answer»

Let the 3 consecutive even integers be (X-2),x,(x+2)
Given:
(x-2)+x+(x-2)=312
3x=312
x=104

so the 3 consecutive even numbers are (x-2)=102,
x=104,
(x+2)=106

hope it helped.
please MARK it as brainliest too.

44.

ram and shyam appeared for an examination. ram secured 24 marks more than shyam and the marks of ram were 65% of the sum of marks obtained by both of them. the marks obtained by ram and shyam are:

Answer»

Let ram's marks be X and shyam's marks be y.
b/p
x=y+24
or,x-y=24........eq1
Again,
x=65% of x+ y
or,x=65/100×x+y
or,x=13x+13y/20
or,20x=13x+13y
or,7x=13y
or,7x-13y=0........eq2
eq×13-eq2
13x-13y=312
7x-13y=0
(-) (+). (-)
-------------------
6X. = 312
or,x=52
By PUTTING VALUE of x in eq1,
52-y=24
or,y=52-24=28
Therefore, ram got 52 marks and shyam got 28 marks.

45.

number of integral values of K for which exactly one root of the equation 5^2+(k+1)x+k=0 lies in the (1,3)

Answer»
1 <  \frac{ - b}{2a}  < 3 \\ 1 <  \frac{ - (k + 1)}{2}  < 3 \\ 2 <  - k - 1 < 6 \\ 3 <  - k < 7 \\  - 3  > k >  - 7...(1) \\  \\  \\
DISCRIMINANT should EXIST
{ (- (k + 1))}^{2}  - 4(k) \geqslant 0 \\  {k }^{2}  + 1 - 2k \geqslant 0 \\ (k - 1) {}^{2}   \geqslant 0 \\   \\ hence \: k \:  can \: take \: values \: in \: interval \: in \: eqn \: 1

46.

X=roota+1/roota y=roota-1/roota find x^4+y^4-2x^2y^2

Answer»

You have to SOLVE the LAST ANSWER

47.

X41+41 is divided by x+1 then what will be the remainders

Answer»

Qotient is 41 and REMAINDER is 0

48.

Transform a nd conquer technique for finding no of walks between two vertices

Answer»

Count the total number of ways or paths that EXIST between two vertices in a directed GRAPH. These paths doesn’t contain a cycle, the SIMPLE enough reason is that a cylce contain infinite number of paths and hence they create PROBLEM.

49.

Write 5rational numbers which are greater than 2

Answer»

2/2, 3, 4 ,5 ,6 it was five RATIONAL no greater than 2

50.

Write the formulas of area and volume of the following :-cube, cuboid, cone, cylinder, sphere, hemisphere, frustum

Answer» TSA =TOTAL surface AREA.
CSA=Curved surface area.
LSA=Lateral surface area.

TSA of cube=6a².
LSA of cube=4a².
VOLUME of cube=a³.

TSA of cuboid=2(lb+bh+hl).
LSA of cuboid=2(l+b)h.
Volume of cuboid=lbh.

TSA of cone=2π(r+l).
CSA of cone=πrl.
Volume of cone=⅓πr²h.

TSA of cylinder= 2πr(h+r).
CSA of cylinder=2πrh.
Volume of cylinder=πr²h.

Surface area of sphere=4πr².
Volume of sphere=4/3πr³.

TSA of hemisphere=3πr².
CSA of hemisphere=2πr².
Volume of hemisphere=⅔πr³.

TSA of frustum=πl(R+r)+πR²+πr².
CSA of frustum=πl(R+r).
Volume of frustum=⅓πh(R²+r²+Rr).


Hope it is helpful to you..