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.

Does matlab takes variable sin degree or radians

Answer»

It TAKES sin

hope this HELPS have a NICE DAY
Discussion
2.

When the polynomial in p(x) is divided by (x-a) the remainder equals p(a)

Answer»

It is REMAINDER THEOREM.
Discussion
3.

In a day how many times the hands of a clock are coincident

Answer»

In a CLOCK the minute hand and hour hand are COINCIDENT for
22 TIME in a day
Discussion
4.

What is the probability of Rolling a 3 on a 6 sided dice

Answer»

1/6

hope this HELPS have a GOOD DAY
Discussion
5.

The Vertical angle of an isosceles triangle is 80 degree find measurement of its base angle

Answer»

See the ISOSCELES TRIANGLE has 2 side EQUAL..
then the equation is LIKE that

(80 +80 + X) =180
160+ x = 180
x = 180 -160
x = 20°
Discussion
6.

What is the point of concurrence of angle bisector of a triangle called. where does it lie

Answer»

It is CALLED INCENTRE .and it LIES in the INTERIOR of the triangle
HOPE THIS WILL HELP
Discussion
7.

I just waana know if this is correct way of representingon a number line?

Answer» YAA DEAR this is CORRECT...
Discussion
8.

Hii friends i came up with new questionThe base of the vertices of an isosceles triangle PQR are Q(1,3) and R(-2,7)The vertex P is?Answer it fast

Answer»

You can FIND it by USING AREA of triangle

here's your ANS...
P(5/6,6)
Discussion
9.

If zero in not a natural no, then why 10 is natural no

Answer» NATURAL NUMBERS are the numbers which we can COUNT. we cannot count 0 but we can count 10 so 0 is not a natural no. and 10 is.
Discussion
10.

1 1 1 1 = 52 2 2 2 = 243 3 3 3 = 934 4 4 4 = 272then 5 5 5 5 = ?

Answer» 5*5*5*5*+6
625+6
631
I HOPE my ANSWER is CORRECT my REPLY
Discussion
11.

The speed of a train is 60 1/2km /h . how much distance the train will travel in 10 1/2 hours 45/2

Answer»

Speed of the train = 60 × 0.5 =30 km/h.

The time is 10 × 0.5 = 2 HRS. + 45×0.5 = 22.5 minutes.

0.5 minutes = 0.5×60 = 30 SECONDS.

The total time will be 2 hrs 22 min 30 sec.

So, the total distance traveled will be

Distance = Speed × Time.

For 2 hrs:— 30×2 = 60 km

For 22 minutes:— 30 × 22/60hrs = 11 km

For 2 seconds:— 30 × 2/3600 = 0.1666 km.

Adding all these we get,

60+11+0.16666 = 71.166666 km
Discussion
12.

Solve Q no. 4, 5, 6, 7, 8, 9 ,10URGENT!!!!!!

Answer»

HELLO DEAR,

------(4)
\frac{7 + \sqrt{5} }{7 - \sqrt{5} } - \frac{7 - \sqrt{5} }{7 + \sqrt{5} } = a +7 b \sqrt{5} \\ \\ \\ = > \frac{49+ 5 + 14 \sqrt{5} - 49 - 5 + 14 \sqrt{5} }{49 - 5} \\ \\ = > \frac{ 28 \sqrt{5} }{44} \\ \\ = > \frac{7 \sqrt{5} }{11}
on comparing with L.H.S

we get,

a = 0 and b = 1/11

-----(5)

given that:-

x = (√3 + √2)/(√3 - √2)

x = (√3 + √2)/(√3 - √2) × (√3 + √2)/(√3 + √2)

x = (3 + 2 + 2√6)/( 3 - 2)

x = (5 + 2√6)/1 = (5 + 2√6)

x² = (25 + 24 + 20√6)

x² = (49 + 20√6)---------(1)

y = (√3 - √2)/(√3 + √2)

y = (√3 - √2)/(√3 + √2) × (√3 - √2)/(√3 - √2)

y = (3 + 2 - 2√6)/(3 - 2)

y = (5 - 2√6)/1 = (5 - 2√6)

y² = (25 + 24 - 20√6)

y² = (49 - 20√6)---------(2)

xy = (√3 + √2)/(√3 - √2) × (√3 - √2)/(√3 + √2)

xy = 1-------(3)

now ADDING-----(1) , ---(2) & ---(3)

we get,

x² + xy + y² = (49 + 20√6) + 1 + (49 - 20√6)

(x² + y² + xy) = 98 + 1 = 99

---(6)

3/(√3 - √2 + √5)

= 3/[(√3 - √2) + √5] × [(√3 - √2) - √5] /[(√3 - √2) - √5]

= 3[(√3 - √2) - √5] / [ 3 + 2 - 2√6 - 5]

= 3[(√3 - √2) - √5] / (5 - 2√6 - 5)

= 3[(√3 - √2) - √5] / 2√6

= 3[(√3 - √2) - √5] / 2√6 × √6/√6

= 3[(√3 - √2) - √5] ×√6 / 12

= (√18 - √12 - √30)/4

------(7)

x = (1 - √2)

x² = (1 + 2 - 2√2)

x² = (3 - 2√2)

AND,

1/x² = 1/(3 - 2√2)

1/x² = 1/(3 - 2√2) × (3 + 2√2)/(3 + 2√2)

1/x² = (3 + 2√2)/(9 - 8)

1/x² = (3 + 2√2)

now,

(x + 1/x)² = x² + 1/x² + 2×X × 1/X

(x + 1/x)² = (3 - 2√2) + (3 + 2√2) + 2

(x + 1/x)²= 6 + 2 = 8

-----(8)

x = 2 + √5

x² = (4 + 5 + 4√5)

x² = (9 + 4√5)

1/x² = 1/(9 + 4√5) × (9 - 4√5)/(9 - 4√5)

1/x² = (9 - 4√5)/(81 - 80)

1/x² = (9 - 4√5)

now,

(x² - 1/x²) = (9 + 4√5) - (9 - 4√5)

(x² - 1/x²) = 9 + 4√5 - 9 + 4√5

(x² - 1/x²) = 8√5

---------(9)

25^(x - 1) = 5^(2x - 1) - 100

=> 25^x * 1/25 = 25^x * 1/5 - 100

=> 25^x * 1/5 (1/5 - 1) = -100

=> 25^x * 1/5 * (-4/5) = -100

=> 25^x * 1/5 * 4/5 = 100

=> 25^x = (100 × 25) /4

=> 25^x = 25 * 25

=> 25^x = 25^2

=> x = 2

---------(10)

(2/3)^x * (3/2)^2x = 81/16

=> (3/2)^(-x) * (3/2)^2x = 81/16

=> (3/2)^(-x + 2x) = 81/16

=> (3/2)^x = (3/2)⁴

=> x = 4

I HOPE ITS HELP YOU DEAR,
THANKS
Discussion
13.

P( phi) is equal to ....

Answer» 14 MARCH is = PI.. ANSWER
Discussion
14.

If x=2+√3, find the valueof x3

Answer»

Heya !!

Here's your ANSWER.. ⬇⬇
_______________________________

⚫ Given :- X = 2 + √3

⚫ To FIND :- x³ + 1/x³ = ?

⚫ Solution :- x = 2 + √3

\frac{1}{x} = \frac{1}{2 + \sqrt{3} } \\ \\ \frac{1}{x} = \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \\ \frac{1}{x} = \frac{2 - \sqrt{3} }{4 - 3} \\ \\ \frac{1}{x} = 2 - \sqrt{3} \\ \\ x + \frac{1}{x} = 2 + \sqrt{3} + 2 - \sqrt{3} \\ \\ x + \frac{1}{x} = 4 \\ \\ take \: \: cube \: \: on \: \: both \: \: side \\ \\ {(x + \frac{1}{x} )}^{3} = {(4)}^{3} \\ \\ {x}^{3} + \frac{1}{ {x}^{3} } + 3x \times \frac{1}{x} (x + \frac{1}{x} ) = 64 \\ \\ {x}^{3} + \frac{1}{ {x}^{3} } + 3(4) = 64 \: \: \: \: \: \:..... (x + \frac{1}{x} = 4) \\ \\ {x}^{3} + \frac{1}{ {x}^{3} } = 64 - 12 \\ \\ {x}^{3} + \frac{1}{ {x}^{3} } = 52 \\ \\
_______________________________

Hope it helps..

THANKS :))
Discussion
15.

Every principal ideal domain is a unique factorization domain

Answer» A principal ideal DOMAIN (PID) is an integral domain in which every ideal is principal (i.e., GENERATED by one ELEMENT). ... This MEANS that if R is a UFD then, roughly speaking, any element in R can be written as the unique product of other elements in R. It turns out that every PID is ALSO a UFD.
Discussion
16.

In geometry a right angle has how many degrees

Answer»

Hiii...
Here is your ANSWER...

A right angle has 90 DEGREES...

HOPE it HELPS you..
Plzz mark it as the BRAINLIEST...
Discussion
17.

There 4 marbles in a bag 3 are blue and 1 is red .

Answer»

The NUMBER of RED= 1/4

The number of BLUE = 3/4
Discussion
18.

If n! has 73 zeroes at the end then find the value of n

Answer»

10^73 is the VALUE of N
Discussion
19.

If you tossed two coins , what is expectation of head

Answer»

The PROBABILITY of COMING HEAD= 2/4= 12
Discussion
20.

Number of digits in squares and unsquare

Answer»

The NUMBER of DIGITS In s
Discussion
21.

the ratio of lions to tiger in a zoo is 1 ratio 3 if there are four lions how many tiger will be there

Answer»

LET THE TIGERS BE X
A.T.Q LION:TIGER = 1:3
NO. OF LIONS =4
SO IT MEANS
1:3::4:X
1×X =3×4
X=12
MEANS TIGERS = 12
HOPE IT HELPS YOU
PLEASE MARK IT AS A BRAINLIEST

Discussion
22.

Explain about a number root 6..??

Answer»

It is IRRATIONAL......
Discussion
23.

The perimeter of a rectangle is 70m. If it's width three fourth of its length. Find its area.

Answer» HII friend,

LET the Length of RECTANGLE be X.

Then the breadth of rectangle = 3X/4

Perimeter of rectangle = 2( L + B)

70 = 2 (X + 3X/4)

70 = 2( 4X + 3X/4)

70 = 4X+3X/2

4X +3X = 140

7X = 140

X = 140/7

X = 20 m

Length of rectangle = X = 20 m

Breadth of rectangle = 3X/4 = 3 × 20/4 = 60/4 = 15 m

Therefore,

Area of rectangle = Length × Breadth

=> 20 × 15 = 300 m².


HOPE IT WILL HELP YOU..... :-)
Discussion
24.

Answer this plzzzzzzzzzz

Answer»

HERE is your answer:
the correct OPTION is 2) 3 to the POWER 6.
see the attached PIC.
Discussion
25.

If a is invertible symmetric matrix, then a-1 is equal to

Answer»

Let A be a symmetric INVERTIBLE matrix, AT=A, A−1A=AA−1=I Can it be shown that A−1 is also symmetric?



You can't use the THING you want to prove in the PROOF itself, so the above answers are missing some steps. Here is a more complete proof. Given A is nonsingular and symmetric, show that A−1=(A−1)T:

I=IT

since AA−1=I,

AA−1=(AA−1)T

since (AB)T=BTAT,

AA−1=(A−1)TAT

since AA−1=A−1A=I, we rearrange the LEFT side

A−1A=(A−1)TAT

since A=AT, we substitute the right side

A−1A=(A−1)TAA−1A(A−1)=(A−1)TA(A−1)A−1I=(A−1)TIA−1=(A−1)T

and we are done.
Discussion
26.

If cot a=2 and cot b=3, then what is the value of a+b

Answer»
we \: know \\ \cot(a + b) = \frac{ \cot(a) \cot(b) - 1 }{ \cot(a) + \cot(b) } \\ = \frac{2 \times 3 - 1}{2 + 3} = \frac{5}{5} = 1 \\ thus \: \: a + b = 45 \: degrees
Discussion
27.

Write down two numbers with a sum of 9 and a difference of 1

Answer»
Discussion
28.

every fraction is a rational number, but every rational number is not fraction.Prove it with an example

Answer» HOPE it HELPS you...if any DOUBTS PLZ MESS me..
Discussion
29.

A number added to its two thirds is equal to 75 find the number

Answer»

X+ 2x/3=75
=> 3x+2x=75(Cross MULTIPLICATION)
=5x=75
x=75/5
=>x=15

Ans=15

THIS IS THE CORRECT ANSWER SO MARK BRAINLIEST ✌️
Discussion
30.

What is the value of the expression X + 7 when X is equals to 3

Answer»

When X =3
then 3+7=10 ..............................
Discussion
31.

3and 9dvisible. by 145404 with divied

Answer»

Divisibility RULE of 3 and 9=
sum of all digits of the number when added gives the sum DIVISIBLE by 3 and 9 ....

So, let's check the number ( 145404)
1+4+5+4+0+4=18
18 is divisible by both 3 and 9 ...

Hence ,PROVED....
Hope u understand...
Discussion
32.

If Alpha and beta are the zeroes of x²-px+q, then find the value of alpha/ beta+beta/alpha.

Answer» HI...☺

Here is your answer...✌

Given that,

α and β are zero of x² - PX + q

We know that,

sum \: of \: zeros = \frac{ - b}{a} \\ \\ \alpha + \beta = \frac{ - ( - p)}{1} \\ \\ \alpha + \beta = p \: \:\: \: \: \: \: \:.....(1)\\
And

product \: of \: zeros = \frac{c}{a} \\ \\ \alpha \beta = \frac{q}{1} \\ \\ \alpha \beta = q \: \:\: \: \: \: \: \:.....(2)

Now

\frac{ \alpha }{ \beta} + \frac{ \beta }{ \alpha } = \frac{ { \alpha }^{2} + { \beta }^{2} }{ \alpha \beta } \\ \\ = \frac{ {( \alpha + \beta) }^{2} - 2 \alpha \beta }{ \alpha \beta } \\ \\ = \frac{ {p}^{2} - 2q}{q}\: \:\: \: \: \: \: \:[ from\: (1) \:and\: (2) ]
Discussion
33.

if x and y are rational and irrational number respectively then is xy necessarily and an irrational number justify your answer

Answer»

No it is not NECESSARY that it would be a irrational

For EXAMPLE - x=2 and y= root 2 the


then XY = 2root2
Discussion
34.

Dx/√(1+sinx) find integral

Answer» HOPE this will HELPFUL for U..
Discussion
35.

Give me the answers of these questions

Answer»

Which QUESTIONS? (TELL the QUESTION NUMBERS!)
Discussion
36.

find the amount to be paid for the following items if 5% VAT is charged on each items first a bottle of hair styling gel at rupees 185 second a laptop at rupees 55000 3rd a mobile at rupees 36200

Answer»

Find the amount to be paid for the following items if 5% v80 is charge on each item first bottle of hair STYLE gel at rupees 185 second a laptop at rupees 50 50 2013 MOBILE at rupees 36200 rupees ANSWER is correct
Discussion
37.

Children play a computer game and Square 12,15,7,8 and 10 points. What is the median score

Answer»

Hey,
ARRANGE the terms in ascending order :-
7,8,10,12,15.
So, n(number of terms) = 5(odd)
So, Median = (n+1/2) term.
= 5+1/2
=6/2
=3rd term.
So, median = 10.

HOPE THIS HELPS YOU BUDDY :):)
TAKE CARE ALWAYS ##
PLZ MARK AS BRAINLEST PLZ :):)!!!!
Discussion
38.

Find the value of square root of 0.31428 correct to 3 decimal places

Answer» SQUARE ROOT of 0.31428=0.56060681408
                                    =0.560
                                    =0.56
Discussion
39.

Simplify the following. 5/√3-√5.

Answer» HELLO MATE!

\frac{5}{ \sqrt{3} - \sqrt{5} } \times \frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} + \sqrt{5} } \\ \frac{5( \sqrt{3} + \sqrt{5} ) }{3 - 5} \\ \frac{5 \sqrt{3} + 5 \sqrt{5} }{ - 2} \\ = - \frac{5 \sqrt{3} + 5 \sqrt{5} }{2}
HOPE it helps☺!
Discussion
40.

Factorise the following 4x^+8x-5 & 5x^-7x-6

Answer» HELP your QUESTION is INCOMPLETE or WRONG
Discussion
41.

Factorise the following 3x^-10x+8

Answer» HII dear ....

Lets solve this...

Q-3x2-10x+8

=3x2-6x-4x+8

=3x (x-2)-4 (x-2)

=(3x-4)(x-2)= Answer

Ask to me if you have any DOUBT in SCIENCE(physicsand chemistry) and math Or in anything Without any intteruption.


Stay INSPIRE, stay Best.
Discussion
42.

Test the following for the divisibility by 3 and 9. 145404

Answer»

1+4+5+4+0+4=18
18 is DIVIDED by both 3 and 9.
THEREFORE, 145404 is also divisible by 3 and 9 .

hope it HELPS ☺☺
Discussion
43.

P:q=5:7 and p-q=-4 , then the answer of 3p+4q

Answer» GIVEN, p:q = 5:7
So, LET p = 5X & q = 7x

Given, p - q = -4
Thus, 5x - 7x = -4. x = -4/-2 = 2.

Therefore, p = 10 & q = 14.

So, 3p + 4q = 3×10 + 4×14 = 30 + 56 = 86
Discussion
44.

A paper clip is made out of 4 inches of wire.how many paper clips could I make with 5 ft of wire?

Answer» ONE paper clip is made out of 4 inches of wire.

5ft = 5 × 12 = 60 inches 

number of paper CLIPS from 5ft wire = 60in / 4in = 15

you can make 15 paper clips from 5ft of wire.  
Discussion
45.

Please answer only if you know its very important dont send useless answer for gaining points

Answer»

Hey!!!!

_________

We have

=> 7√2x² - 10x - 4√2 = 0

Here 7√2 X 4√2 = 56
=> 56 = 14 x 4

Thus

=> 7√2x² - 14x + 4X - 4√2 = 0

=> 7√2x(x - √2) + 4(x - √2) = 0

=> (7√2x + 4)(x - √2) = 0

Thus x = √2 or x = -4/7√2

___________

Hope this HELPS you ✌️
Discussion
46.

3x+y-5=0 and 2y-x-5=0 in linear equations

Answer»

3x+y=5
x-2y=-5
3x+y=5
3x-6y=-15
7y=20
y=20/7
x=2y-5
=40/7-5
=5/7
Discussion
47.

a train passes an electrical pole in 20 seconds and passes a platform 250 m long and 45 seconds. find the length of the train?

Answer» HOPE it HELPS you.........
Discussion
48.

A general wishing to draw up his 64019 men in the form of square found that he had 10 men extra .Find the number of men in front row

Answer» 253 MEN were STANDING in ROW 1
Discussion
49.

Predicting the expected probability with tobit stata

Answer»

What is the QUESTION so i can GIVE you the ANSWER
Discussion
50.

Let X denote the mean of a random sample of size 100 from a distribution that is x^2 (40). Compute an approximate value of P(38 < x < 42)

Answer» GOOD U R LOOKING so STUPID
Discussion