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.

Types of quadrilateral with there properties and diagram

Answer»

Answer:

TYPES of Quadrilaterals and their Properties

Rectangle. Opposite sides are PARALLEL and EQUAL. ...

SQUARE. Opposite sides are parallel and all sides are equal. ...

Parallelogram. Opposite sides are parallel and equal. ...

RHOMBUS. All sides are equal and opposite sides are parallel. ...

Trapezium. ...

Kite.

Step-by-step explanation:

2.

For what values of b is the polynomial x cube - 3 x + b x - 6 divisible by x - 3​

Answer»

<P>p(X) = -3x+bx-6

g(X)= x-3

x-3=0

x=3

Substituting value of x in p(X)

-3(3)+B(3)-6=0

-27+3b-6=0

-33+3b=0

3b=33

b=11

PLS MARK ME THE BRAINLIEST IF U LIKE THE ANSWER

3.

Please solve 4th question . please solve step by step explanation ​

Answer»

Answer:

this answer was very tuff IAM can't ABLE to solve

4.

What are the all degree of polynomial​

Answer»

hola mate...!!!

The degree of a POLYNOMIAL is the highest of the DEGREES of its monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. The term order has been used as a synonym of degree but, nowadays, may refer to several other concepts (see order of a polynomial (disambiguation).

The following names are assigned to polynomials according to their degree:

SPECIAL case – zero

Degree 0 – non-zero constant

Degree 1 – linear

Degree 2 – quadratic

Degree 3 – cubic

Degree 4 – quartic (or, if all terms have even degree, biquadratic)

Degree 5 – quintic

Degree 6 – sextic (or, less commonly, hexic)

Degree 7 – septic (or, less commonly, heptic)

For higher degrees, names have sometimes been proposed,but they are RARELY used:

Degree 8 – octic

Degree 9 – nonic

Degree 10 – decic

5.

the denominator of a fraction is one more than its numerator if one is deducted from both the numerator and the denominator the fraction becomes equivalent 0.5 the fraction is

Answer»

GIVEN:

The denominator of a FRACTION is ONE more than its numerator

let the numerator be x and the denominator be x+ 1

so the fraction is => x/x+1

If one is deducted from both numerator and DENOMINATOR the fraction will be equal to 0.5

=> x-1/x+1-1 = 0.5

=> x-1/x = 5/10

=> x-1/x = 1/2

By cross multiplying

=> x = 2(x-1)

=> x = 2x-2

=> x-2x = -2

=> -x = -2

=> x = 2

so x+1 = 2+1 = 3

so the original fraction is 2

hope it helps you

6.

If x= 3+2√2,then find the value of x+1\x​

Answer»

Given:

x=3+2√2

To find the value of,

\sf{x +  \frac{1}{x} } \\  \\

Here,

We find the value of 1/x and then,add it with that of x. THUS, deriving the required value.

Now,

What is rationalising?

Rationalising is a mathematical TOOL or procedure which is applied to REMOVE the RADICAL signs EITHER by multiplying or dividing.

So,

\sf{ \frac{1}{x} =  \frac{1}{3 + 2 \sqrt{2} } }  \\  \\  \:  \:  \:  \:  \:  =  \sf{ \frac{1}{3 + 2 \sqrt{2} } \times  \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} }  } \\  \\   \:  \:  \:  \:  =  \sf{\frac{3 - 2 \sqrt{2} }{3 {}^{2} - 2 \sqrt{2 {}^{2} }  }}  \ \\  \\  \:  \:  \:    =   \sf{\frac{3 - 2 \sqrt{2} }{9 - 8}}  \\  \\  \implies \:  \sf{ \frac{1}{x} = 3 - 2 \sqrt{2}  }

On adding both the term,

(3+2√2)+(3-2√2)

=3+3

=6

\sf{6 \: is \: the \: value \: of \: x +  \frac{1}{x} } \\  \\

7.

Tell me fast it's very urgent ​

Answer»

Answer:

*: exterior angle the angle between a SIDE of a rectilinear FIGURE and an adjacent side extended outward.

interior angle the angle between adjacent sides of a rectilinear figure.

_____________

A regular OCTAGON is a CLOSED figure with sides of the same length and internal angles of the same size. It has eight lines of reflective SYMMETRY and rotational symmetry of order 8. ... The central angle is 45° ( radians).

, an icosagon or 20-gon is a twenty-sided polygon. ... One interior angle in a regular icosagon is 162°,

8.

What is 238,900 rounded to the nearest thousand

Answer»

HEY mate

given:

238,900

if we ROUND it off to nearest thousand it will became

239,000

hope it HELPS you

9.

Find LCM of X and y if xy=180 and HCF of ( X ,y) =5

Answer»

ANSWER:

I HOPE this helps

The answer is GIVEN above

10.

Solve the following equation. 2-3(3x+1)=2(7-6x)?​

Answer»

HOPE you HELP this .plz FOLLOW me ,MARK as BRAINLY

11.

(a+b) ka holl sure?​

Answer»

HOLA!!

{a}^{2}  +  {b}^{2}  + 2ab

HOPE this HELPS you ___!!

12.

1- cos 2x + sin x / sin 2x + cos x= tan x.​

Answer»

ANSWER:

I don't KNOW this answer

13.

Find 5 solution of x+y=10​

Answer»

Step-by-step EXPLANATION:

let X = 1

x + y = 0

1 +y = 0

y = -1

let x = 2

x + y=0

2 + y = 0

y = -2

let x = 3

x+ y= 0

3 + y = 0

y = -3

let x= 4

x + y = 0

4 + y = 0

y = -4

again , let x = 5

x + y = 0

5 +y = 0

y= -5

hope it will HELP you....☺☺

14.

Heya guys solve thisits urgentrationalise 1/√5-2​

Answer»

Answer:

1/√5 - 2 × √5 +2/√5+2

√5 + 2 / (√5)^2-4

√5 + 2 / 5-4

√5 +2

HOPE it's HELPFUL

15.

Find four rational number between 3/5 and 4/5​

Answer»

HEY MATE here is your ANSWER:

3×5/5×5=15/25

4×5/5×5=20/25

four RATIONAL NUMBER between 3/5 and 4/5 are 16/20,17/20,18/20,19/20

\: hope \: its \: help \: you

16.

3. A এর 40% B এর 60% এর সমান, A:B এর মান হবে?​

Answer»

Step-by-step EXPLANATION:

A×(40/100)=B×(60/100)

A×4=B×6

A/B=6/4

A:B=3:2

17.

Prove that,in an isosceles triangle,the bisector of the vertical angle,the altitude from the vertex and the median to the base are coincident.

Answer»

Answer:

Proof:  

Consider the two triangles ABD and ACD,  

AB = AC (Given)  

Angle BAD = Angle CAD  (since given AD bisects angle BAC)  

AD = AD (Common sides)  

Thus the two triangles ABD and ACD are consistent (By 'SAS' compatibility adage of triangles)  

therefore angle ADB = edge ADC - (1) (Corresponding parts of  

CONGRUENCE triangles are equivalent)  

In any case, these two are direct PAIR that is their entirety is 180 degrees - (2)  

Thus from (1) and (2), EVERY one of the points ADB and ADC are 90 degrees.  

Therefore, AD is perpendicular to BC.

18.

If a ray ON stands on a line LM such that angle LON = angle MON find angle LON​

Answer»

Step-by-step EXPLANATION:

I HOPE it HELPS you , MARK me as the brainiliest

19.

Cosh square x-sinh square x=​

Answer»

ANSWER: 1

Step-by-step EXPLANATION: PROVIDED in the PICTURE ATTACHED.

20.

2. If a transversal intersects two parallel straight lines, then the number of distinct angles formed is​

Answer»

There will be MANY angles FORMED here and angles formed vertically opposite to will be equal and the alternative interior and exterior ANGLE will ALSO be equal and corresponding angles will also be equal.

There will be 8 angles forming here.

21.

How did (35.5×2)=71???​

Answer»

Answer:

35.5×2=71

71.0=71

71=71

PLEASE MARK it as BRAINLIEST

22.

Simplify (3root5-5root2) (4root5+3root2)

Answer»

MULTIPLY the BRACKETS and then SOLVE ACCORDINGLY!

23.

Find the probability that a ordinary year contain only 52 Sunday

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ANSWER:

Step-by-step EXPLANATION:

=52/365

24.

After how many decimal expansion of 37/23.54 terminate

Answer»

ANSWER:

after 9 DECIMAL EXPANSION

25.

A number added to its square gives 56. The number is

Answer»

Answer:

X = -8 or 7

Step-by-step explanation:

hope it HELPS you ! mark as BRAINLIEST

26.

A number when divided by 119 leaves 19 as remainder

Answer»

ANSWER:

let X be number

as remainder is 19

subtract 19 from x

x-19 is divisible by 119

consider minimum VALUE

(x-19)÷119=1

x=138

27.

The price of an article is increased by 25%. By how much per cent must this new value be decreasedto restore it to its former value!​

Answer»

ANSWER:

LET original price be X

if price is increased by 25% then

new price =1.25*x

let new price be decreased by y percent so as to RESTORE original price

1.25*x-1.25*x*y÷100=x

1.25*x*(1-y÷100)=x

1-y÷100=1÷1.25

y=(1-1÷1.25)*100

y=20percent

28.

A shopkeeper allows a discount of 10% on the markedprice of an item but charges a sales tax of 8% on thediscounted price. If the custemer päys 3402 as the priceincluding the sales tax, then the marked price is​

Answer»

Let the MARKED PRICE be x Rs.

Since customer gets a DISCOUNT of 10 %

:. The DISCOUNTED price = X *90/100

= 9x/10

:. The amount PAID by customer = 9x/10 *108/100 =243x/250

:. 243x/250= 3402

:. x = 3402*250/243

:. x = 3500

:. The marked price = 3500 Rs.

29.

Find the smallest number which when multiplied by137592 will make the product a perfect cube. Find thecube root of the product.​

Answer»

Answer:

The cube ROOT of the NEW perfect cube is 546.

Step-by-step explanation:

The thing is first, prime FACTORISE 137592 after which you will be left out with one 7 and two 13s. Hence MULTIPLY 169 with 7, you will get 1183.

Then multiply 137592 with 1183, you will get 162771336.

The cube root of 162771336 is 546.

Cheers!

30.

Represent 2 + under root 2 in number line

Answer»

ANSWER:

ROOT 2 is REPRESENTED in the IMAGE

31.

(-36)*(-35/76)*(19/15)*(3/-2)-1​

Answer»

Answer:

63/2

by the SIMPLE MULTIPLICATION

32.

a sum of rupees 8.85 is made up of 124 coins which are either 10 paise coins or 5 paise coins how many are there of each

Answer»

A sum of RS. 8.85 is made up of 124 coins which are EITHER 10 paisa coins or 5 paisa coins ; how many coins are there each Note : Rs. 1 = 100 paisas

33.

1.2 quintels reduce into gram​

Answer»

ANSWER:

Here is UR answer BUDDY

34.

Write the first term of each of the following sequences whose n term are an is equal to 3 n + 2​

Answer»

ANSWER:

hshhb273+ujejsi3

zuwjjs

euejd

Jen's

items

USD

ya

zuwjjs

35.

Find the largest number which is divided by 15 20 and 25 leaves remainder 7 in each case

Answer»

Answer:

245176

Step-by-step EXPLANATION:

DUE to LCM and HCF

36.

Find the value of (-5)×(-7)

Answer»

ANSWER:

Step-by-step EXPLANATION:

(-5)*(-7)

=35

37.

Convert 2222 hours into days and hours.0 convert 2222 hours into days and hours

Answer»

Step-by-step explanation:

92.5 DAYS (2222/24)=92.5

38.

A3 + b3 = 35 and ab = 6, then what is the value of a + b?

Answer»

Step-by-step EXPLANATION:

A3 + b3=35

a+b=?

(a+b)3=a3+b3+3ab(a+b)

(a+b)3=35+3×6(a+b)

(a+b)3=35+18(a+b)

39.

Write the first n term an is equal to 3 + 2​

Answer»

ANSWER:

n=1 cbchk:'(:-*=_=:'(^_^

40.

Bilogy or math which is better ​

Answer»

BIOLOGY is easy.

MATHS is tough.

If you GET good rank in maths, it is only easy for you. You will get BETTER jobs in maths than biology.

41.

the length of the rectangle is more than breadth the perimeter of rectangle is 120m than find lenght and breadth of rectangle ​

Answer»

\huge\bold{HEY:)-}

⭐⭐⭐⭐⭐⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ❤❤❤⭐⭐⭐⭐ \\ \\ \\ \\ \\

⤵⤵⤵⤵

FOLLOW , BRAINLIST ME☺☺PLZZ

===========

2 (l+b) =120

l+b=60

PLZZ COMPLETE the QUESTIONS

42.

5x2 +22x-34Factorise​

Answer»

5x2+22x-34

10-748

-738

43.

W lake 1 Cover 9 km?10. A bus leaves Kolkata for Asansol 220 km away andtravels at 60 km/h for 1 and 1/2-hours. If it needs to reachAsansol in another 2 hours, at what speed should ittravel for the rest of the journey?​

Answer»

Step-by-step explanation:

DISTANCE COVERED in 1.5 hrs =60×1.5=90kms

Remaining distance=220-90=130

Speed to be maintained for NEXT TWO hrs =130/2=65km/hr

44.

What is 5 times 4 multiplied by 10​

Answer»

Answer:

Use BODMAS (brackets, operations, DIVISION, multiplication, ADDITION, subtraction)

5 times 4 = 20

20 multiplied by 10 = 200

hope this helps :)

please MARK brainliest

Step-by-step EXPLANATION:

45.

1+ sin 2x + cos2x / cOS X + sin x= 2 cos x​

Answer»

ANSWER:

1 +  \sin(2x) +  \cos(2x)  \div  \sin(x)  +  \cos(x)

Step-by-step explanation:

1+2sinxcosx+cos²x–sin²x/cosx+sinx

=> 1-sin²x+cos²x+2sinxcosx/cosx+sinx

=>2cos²x+2sinxcosx/cosx+sinx

=>2COSX(cosx+sinx)/cosx+sinx

=>2cosx. ....(PROVED)

46.

8.5kg convert into grams​

Answer»

ANSWER:

HEY MATE here is your answer

8.5 KG =8500g

Hope this HELP

47.

Subtract the diffrence of 225.103 and 220.052 from thier sum

Answer»

ANSWER:

SUM = 225.103 + 220.052 = 445.155

difference= 225.103 - 220.052 = 5.051

subtract = 445.155 - 5.051 = 440.104

hope it HELPS

48.

Factorize x-7/(x-2) (x-3) (x-5)​

Answer»

ANSWER:

irdstjzrhatjxkt7or6ir8tyksutw57aludmyhcylduldkydylfk

vj

cn

jcmhxhmhxuldlujclifuflufufoufpigultia4hq4y12kyr5stsdufifyfuclufg

49.

7+3​

Answer»

Answer:

\large{\red{\boxed{\sf \frac{7 + 3 \sqrt{5} }{3  +  \sqrt{5}}  -  \frac{7 - 3 \sqrt{5} }{3 -  \sqrt{5} }    =  \sqrt{5}}}}

Step-by-step explanation:

GIVEN that ;

\dfrac{7 + 3 \sqrt{5} }{3 +  \sqrt{5} }  -  \dfrac{7 - 3 \sqrt{5} }{3 -  \sqrt{5} }

LET a = \sf \dfrac{7 + 3\sqrt{5}}{3 + \sqrt{5}} and,

B = \sf \dfrac{7 - 3\sqrt{5}}{3 - \sqrt{5}}

We need to FIND, (a - b) -

CONSIDER a;

\frac{7 + 3 \sqrt{5} }{3 +  \sqrt{5} }  \\  \\ \implies  \frac{7 + 3 \sqrt{5} }{3 +  \sqrt{5} }  \times  \frac{3 -  \sqrt{5} }{3 -  \sqrt{5} }   \\  \\ \implies  \frac{(7 + 3 \sqrt{5} )(3 -  \sqrt{5} )}{(3) {}^{2}  - ( \sqrt{5}) {}^{2}  } \\  \\ \implies  \frac{35 + 9 \sqrt{5}  - 7 \sqrt{5} - 15 }{9 - 5}   \\  \\ \implies  \frac{20 + 2 \sqrt{5} }{4} \\  \\ \implies  \frac{2(10 +  \sqrt{5}) }{4}\\  \\ \implies  \frac{10 +  \sqrt{5} }{2}

Consider b;

\frac{7 - 3 \sqrt{5} }{3 -  \sqrt{5} }    \\  \\ \implies  \frac{7 - 3 \sqrt{5} }{3 -  \sqrt{5} }  \times  \frac{3 +  \sqrt{5} }{3 +  \sqrt{5} } \\  \\ \implies  \frac{(7 - 3 \sqrt{5})(3 +  \sqrt{5})}{(3) {}^{2} - ( \sqrt{5}) {}^{2}  }   \\  \\ \implies  \frac{35 + 7 \sqrt{5}  - 9 \sqrt{5}  - 15}{9 - 5} \\  \\ \implies  \frac{20 - 2 \sqrt{5} }{4}    \\  \\ \implies  \frac{2(10 -  \sqrt{5}) }{4}  \\  \\  \implies  \frac{10 -  \sqrt{5} }{2}

Now, find (a - b) -

\implies  \frac{10 +  \sqrt{5} }{2}  -  \frac{10 -  \sqrt{5} }{2}   \\  \\ \implies  \frac{10 +  \sqrt{5}  - (10 -  \sqrt{5}) }{2}  \\  \\ \implies  \frac{10 +  \sqrt{5} - 10 +  \sqrt{5}  }{2}    \\  \\ \implies  \frac{2 \sqrt{5}}{ 2}  \\   \\ \boxed{ \bf \therefore \:  \frac{7 + 3 \sqrt{5} }{3  +  \sqrt{5}}  -  \frac{7 - 3 \sqrt{5} }{3 -  \sqrt{5} }    =  \sqrt{5} }

50.

draw any circle.take any point A on it and construct tangent at A without using the centre of circle​

Answer»

Step-by-step explanation:

  1. first of all make a circle
  2. TAKE any POINT on circle A
  3. draw aparallel LINE with TOUCHING the point A