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.

Solve it of u can nd don't solve if u can'tFind the value of m if √3-m is a zero of the polynomial 2x^2-2√3

Answer»

The ANSWER is GIVEN below :

The given polynomial is

= 2x² - 2√3

Since, (√3 - m) is a zero of the above polynomial, when the polynomial be satisfied with the value X = (√3 - m), we will GET

2(√3 - m)² - 2√3 = 0

⇒ 2(√3 - m)² = 2√3

⇒ (√3 - m)² = √3

⇒ √3 - m = ± {√(√3)}

⇒ m = √3 ± {√(√3)}

THUS, the values of m are

√3 + {√(√3)} and √3 - {√(√3)}.

ANOTHER ANSWER :

The given polynomial is

= 2x² - 2√3

Since, √(3 - m) is a zero of the above polynomial, when the polynomial be satisfied with the value x = √(3 - m), we will get

2{√(3 - m)}² - 2√3 = 0

⇒ 2{√(3 - m)}² = 2√3

⇒ {√(3 - m)}² = √3

⇒ 3 - m = √3

⇒ m = 3 - √3

Thus, the values of m is
(3 - √3).

Thank you for your question.

2.

The sum of 11 by 4 and 7 by 2 when multiply by fraction gives 5 find fraction

Answer»

Let that FRACTION be x,

(11/4 +7/2) × x = 5

{ (11+14)/4} × x = 5

25/4 × x = 5

x = 5 × 4/25

x = 4/5


Then, the fraction required here is 4/5



I HOPE this will help you


-by ABHAY

3.

Two dice are thrown at a time. What will be the probability that the difference of the numbers shown on the dice is 1

Answer»

So., here two dice are THROWN and there are the total no. of outcomes are. 36,

and the no. of outcomes when the difference is of 1 are 5 now

probability of GETTING the difference of 1 is = 5/36
=> 0.138...

4.

Find the terms of the sequence if first term is not given

Answer»

What does it MEANS I can't UNDERSTAND

5.

Find the next term in the series 17 14 14 11 11 8 8

Answer»

I THINK it will be 5 5 and LATER on 1 1

6.

Find the (r+1)th term in the expansion of (1-2x)^-3/2

Answer» 1-(-2X)-3/2=-4x-3/2=-2x-3 answer
l HOPE I can HELP you
7.

The sum of 11 by 4 and 7 by 2 when multiply by fraction gives 5

Answer»

11/4 + 7/2 * X = 5
hope it HELPS... PLEASE MARK it as BRAINLIEST

8.

Find 3 rational numbers between -3/4 and -3/8 using average method

Answer»

-3/5,-6/10,-5/6,-10/12 and so on !!!!

9.

Find all zeros of polynomials 2x⁴-2x³-7x²+3x+6 if two of its zeroes are√3/2 and -√3/2

Answer» HEY!!!

=> Refer to the attachment

The other ZEROS are 2 and -1

Hope this helps ✌️
10.

Can I find answer to dis question

Answer»

Here is your code
062

11.

Write the equation rotes are 4 and 3

Answer»

Let alpha = 4
Beta = 3
Alpha + beta = 4+3
=7
Alpha*beta = 4*3
=12
Equation = x²- (alpha + beta) x + alpha*beta
= x²- 7X +12
Hope this HELPS U....

12.

What is the percent of discount?

Answer»

Hey FRIEND,
your answer is here..

A STORE Will discount an item by a percent of the original price. The RATE of discount is usually given as a percent, but MAY also be given as a fraction. The phrases used for discounted items include, " off," "Save 50%," and "GET a 20% discount."

please mark me. _____if it
brainliest. _____helps you

13.

Find a quadratic polynomial with the given numbers as the sum and product of its zeros respectively1. 2/3 and -4 2.√5 and -2

Answer»

1. 3x^2 -2x -12
2. X^2 - root5 x -2

14.

IS MY SOLUTION RIGHT.?

Answer»

Yes, your SOLUTION is RIGHT...
PLEASE mark as BRAINLIEST answer....

15.

Find the range of the following data 10,5,12,2,15,20,8,10

Answer»

The range is the DIFFERENCE between the greatest no. and the smallest no.
in this CASE it is
20 - 2 = 18

16.

Add 1. 16,8.7,0.94,6.8 and 7.77

Answer» HEYA!!!
.
The ANSWER is 25.37..
.
PLZ MARK as BRAINLIEST ✌☺
17.

By what number should we multiply -15/20 so that the product may be -5/7

Answer» LET the no. be x

ATQ,
x×(-15/20) =-5/7
x=(-5/7)×(20/-15)
x=20/21

Hope it will HELP U...
18.

Z square minus 32z minus 105

Answer» HEYA !


Here is YR answer ___________________________


=> z² -32Z -105

=> z² + 3z -35z -105

=> Z (z+3) -35 (z+3)

=> (z+3) (z-35)


Hope it hlpzz...
19.

A and B are two vectors such that it is equal to minus

Answer» HEY BUDDY its not a COMPLETE QUESTION.
20.

Find the average height of the paraboloid z=x^2+y^2

Answer»

H=3/2* y MAX
Here y max =1
H=3/2

21.

How do i redo 12th class in biology after passing 12th in physics, chemistry, and math?

Answer»

You can FILL a private form with BIO STREAM but u should use only one MARKSHEET at a time...

22.

Can you plz solve this question.Class 9

Answer» U can further SOLVE it if u WANT
23.

If x²+1/x=18,find the value of x³-1/x³.can someone solve this question.

Answer»
here \: is \: ur \:ans \: dear \: friend \\
___________________________________

(x  -  \frac{1}{x} ) {}^{2}  =  {x}^{2} +  \frac{1}{ {x}^{2} }  - 2x \frac{1}{x } \\ (x -  \frac{1}{x} ) {}^{2}  = 18 - 2 \\ (x -  \frac{1}{x} ) {}^{2}  = 16 \\ (x -  \frac{1}{x} )  =  \sqrt{16}  = 4 \\  \\ (x -  \frac{1}{x} ) {}^{3}  =  {x}^{3}   -   \frac{1}{ {x}^{3} }  - 3x \frac{1}{x} (x -  \frac{1}{x}) \\  {4}^{3 }  =  {x}^{3}  -  \frac{1}{ {x}^{3} }  - 3 \times 4 \\  {x}^{3}  -  \frac{1}{ {x}^{3} }  = 64  + 12 \\  {x}^{3}  -  \frac{1}{ {x}^{3} }  = 76 \: ans
24.

Find three rational number between 0 and 0.11

Answer» 0.02,0.03,0.04 are THREE RATIONAL NUMBERS between 0 and 0.11
25.

Answer step by step for the question in top

Answer»

Here in ABE ae=50 by TAN 45
AD=AE+ED
AD=60

26.

Please factorize : a4+3a2+4

Answer»

Hey!!!!

We have

=> a⁴ + 3a² + 4 = 0

Here LET a² = x

=> x² + 3x + 4 = 0

=> x² + 4X - x + 4 = 0

=> x(x + 4) - (x + 4) = 0

=> (x - 1)(x + 4) = 0

Thus x = 1 or x = - 4

Then a² = 1 or a² = -4

=> a = 1 or a = -1 or a = √-4

Hope this HELPS

27.

Find eigen values in terms of norm and eigen vector

Answer»

What is the meaning of "EIGENVALUE > 1" criterion? I understand what eigenvalues and eigenvectors are.

This question is w.r.t. this link and this statement there:

By default, VARCLUS stops SPLITTING when EVERY cluster has only one eigenvalue greater than one, THUS satisfying the most popular criterion for determining the sufficiency of a single underlying dimension.
I know it is a criterion for the number of clusters but how can one visualize and understand its meaning?

I have GONE through this thread on principal component analysis but still do not understand it.

28.

How can we represent cube root 18 on number line?

Answer»

It can be done very easily by TUNNEL method
On the no. LINE take 18 from 0 and add 1 more unit i.e. 19 NAMED AB
Now bisect the line into two halfs then draw a ARC from its mid point.
Finally put your compass on B and draw a line intersecting the arc .Now traace the answer in to NUMBER line.
root 18 is made

29.

Solve these questions along with graphical representation

Answer» HELLO DEAR friend HOPE this helps u
30.

Find the probability of getting vowel in the English alphabet

Answer»

Hey!!!!!

TOTAL Alphabets = 26(N)

VOWELS = a,e,i,o,u = 5(m)

Thus

=> P(GETTING a vowel) = m/n

=> Required Answer = 5/26

Hope this helps

31.

Find zeros of polynomial 6 x square - 3

Answer»

6x^2 -3 = 0
6x^2 = 3
x^2 = 3/6
x^2 = 1/2
x = + / - (√1/2)

So the ZEROES are:-
√(1/2) & - √ (1/2)

HOPE it HELPS.

32.

The equation of the XOY plane is

Answer»

X=0andy=0.................

33.

By Cramer rule please tell the answer

Answer»

The answer is given below :

RULE :

Let us consider TWO equations -

a1 x + b1 y = c1
a2 x + b2 y = c2

Then, the required solution be

x = (b2 c1 - b1 c2)/(a1 b2 - a2 b1)

and

y = (a1 c2 - a2 c1)/(a1 b2 - a2 b1)

SOLUTION :

The given equations are

x + 3y = 45 .....(i)
3x + 4y = 65 .....(ii)

So, the required solution by CRAMER's Rule be

x = (45×4 - 65×3)/(1×4 - 3×3)

= (180 - 195)/(4 - 9)

= (-15)/(-5)

= 3

and

y = (1×65 - 3×45)/(1×4 - 3×3)

= (65 - 135)/(4 - 9)

= (-70)/(-5)

= 14

Therefore, the required solution be

x = 3 and y = 14.

VERIFICATION :

When x = 3, y = 14,

L.H.S. of (i)
= 3 + 3×14
= 3 + 42
= 45
= R.H.S. of (i)

and

L.H.S. of (ii)
= 3×3 + 4×14
= 9 + 56
= 65
= R.H.S. of (ii)

So, the values of x and y are verified.

Thank you for your question.

34.

Statements: A≥ B > C ≥ F; Z < C ≤ D < E Conclusions: I. A> Z II. F

Answer»

I have any additional QUESTIONS about AIM to be a good NIGHT my LOVE to see the Newtown s third parties will be in

35.

For each of three independent situtions below prepare

Answer»

Its HALF PLEASE COMPLETE

36.

How to find order of the filters by given difference equation

Answer»

Hello friend here is your answer
GIVEN a DIFFERENCE equation, how do we tell if it is an IIR filter or FIR filter? For example,

y(n) = x(n-3)+y(n-1) . Is it FIR or IIR? Can you please give me a way to figure this out? Thanks! :)

share improve this question

askedJan 16 '14 at 4:56



Masked
116●6

3 Answers

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up vote1down voteaccepted

NON-Recursive FILTERS are synonym to FIR filters. if you will take z TRANSFORM of difference equation which is non recursive then you will find out poles for FIR can lie at only zero.Hence if the equation is non-recursive then surely it will represent a FIR filter and its z transform will have all poles at zero.for example, if you have y(n)=x(n)-2x(

i hope it will help you

37.

19 hours 20minutes 15second minus 9hour 25minute 30second how to do this problem maths

Answer»

19 hours 20 minutes 15 seconds

-  9 hours 25minutes  30 seconds

------------------------------------------------

10 hours  36 minutes  15 seconds

------------------------------------------------


brainliest pls if U LIKE

38.

find the least number which must be added to 1500 so as to get perfect square number. Also find the square root of the perfect square number.

Answer»

We have to ADD 21
square ROOT of 1521=39

39.

The product of three integer is - 600 lf two of them are - 15&-10 find the third integer

Answer» PRODUCT of THREE INTEGERS = -600

Two of them are -15 and -10
Let the other one be 'a'

(-15) × (-10) × a = -600
150 × a = - 600
a = -600/150
a = - 4

The other INTEGER is (-4)
40.

Which is greater 3root4 or 4root5? explain

Answer»

4√5 is greater.because.3√4=√9*√4=√36 &4√5=√24*√5=√120.3√4<4√5.i HOPE this will be HELPFUL

41.

Prove (a + b + c)^3 - a^3 - b^3 - c^3 = 3( a + b ) ( b + c ) ( c + a )

Answer»  TAKE LHS=(a+b+C)^3-a^3-b^3-c^3 ={(a+b)+c}^3- a^3-b^3-c^3 =(a+b)^3+c^3+3C(a+b)(a+b+c)-a^3-b^3-c^3 =a^3+b^3+c^3+3ab(a+b)+3c(a+b)(a+b+c)-a^3-b^3-c^3=3ab(a+b)+3c(a+b)(a+b+c)=3(a+b){ab+c(a+b+c)}=3(a+b){ab+ac+bc+c^3}=3(a+b){a(b+c)+c(b+c)} =3(a+b)(b+c)(c+a) PROVED   SO EASY 
42.

How long it takes for hair upto 6 cm after being shaved

Answer»

Its TAKE UPTO 10 to 15 DAYS.

43.

In a gear having in involute teeth the normal to the involute is a tangent to the

Answer»

The answer is base circle.


In a gear having involute teeth, the NORMAL to the involute is a tangent to the base circle. The base circle in a gear is defined as the circle from which it is possible to generate the involute PORTION BELONGING to the tooth PROFILE is generated.
44.

How to calculate instataneous axis of rotation?

Answer» INSTANTANEOUS axis of rotation is calculated by the formula .....
if we consider a rod wid the end points A and B respectively. ..then the instantaneous axis of rotation along the B from A is GIVEN by...

VB = VA + W (omega) x AB (VECTOR)...

HERE V STANDS FOR VELOCITY..,,.
45.

A deposit of $5,000 at 8.5% for 120 days = _____.

Answer»

S.I. = (5000*8.5* 120) / (100*365)
= 5100000/36500
= 139.73

Hope it helped
-Ad.

46.

Questions number 3 hots questions

Answer» 163-{36×3-(14-15÷5)×`4-2`}

= 163 -{36×3-(14-3)×`4-2`}

= 163-{36×3-11×2}

= 163 - {108- 22}

= 163-86

=77

-----------------------------------------------▪
hope this HELPS..........
47.

Find the Pythagorean triplet whose smallest no is 24

Answer»

Your Pythagoraean TRIPLET is 7,24 and 25
24²+7²=25²
576+49=625
625=625
LHS=RHS
I HOPE THIS WILL HELP YOU MARK ME BRAINLIEST

48.

Add the additive inverse of of (-12+16-42 ÷3 of 7) to the product of (-2),(-3)&)-4)

Answer» IMPOSSIBLE EVENT..........
49.

Plezz send ans fast.....

Answer» SIN ¢=3x,. cos¢=4y................
50.

Represent the number 8 on a number line.

Answer»

No. 8 lies on the right SIDE of the ZERO which is 8 UNITS AWAY from it.