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.

Answer me fast please guys

Answer»
hi...
A PARALLELOGRAM and rhombus are equal in area .

Rhombus :
d1 = 120m , d2 = 44m

Area of Rhombus = 1/2 × d1 × d2
= 1 / 2 × 120 × 44
= 60 × 44
= 2640 sq .m.

Here ...
We also have ,

BASE = 66m

Area of parallelogram = Area of Rhombus
Base × HEIGHT = 2640
66 × Height = 2640
Height = 2640 / 66
Height = 40m

Therefore ,
its corresponding altitude is 40m.

hope \: this \: helps..
2.

Answer this please please

Answer»

2573+7825=10,398
10,398=10,400

3.

Value of 5 root 2 locate it on number line who

Answer»

In root 2 TAKE BASE as 1 unit and perpendicular as 1 unit
in root 5 take base as root 3 unit and perpendicular as root 2 unit

4.

Julia drives her car with a constant speed of 72 miles per hour .how far can she travel in 3 hrs 15 mins

Answer»

Distance in 1 HR = 72 miles
distance in 3.25 HRS = 72 x 3.25 = 234 miles

5.

Solve equation 3x+4y+6z=8

Answer»

3x+4y+6z=8
13xyz=8
xyz=13÷8

6.

Question no. 3,4 ....,..............

Answer» ANSWER of QUESTION FOURTH
7.

Y = e^(3logx) find dy/dx

Answer»

Answer:

\frac{dy}{dx}=3x^2

Step-by-step EXPLANATION:

Formula USED:

\frac{d(x^n)}{dx}=nx^{n-1}

nlog_a{M}=log_a{M^n}

e^{log_eA}=A

Now,

y=e^{3logx}

y=e^{logx^3}

y=x^3

Differentiate with respect to x

\frac{dy}{dx}=\frac{d(x^3)}{dx}

\frac{dy}{dx}=3x^2

8.

Square root (7+ 2( square root 10)) = ?

Answer»

The ANSWER is 13.324

9.

How many inyegers are between -10 and 10 on the number line

Answer»

There are 19 INTEGER between -10 and +10

* NOTES: I leave -10&+10

10.

Divide x^3-2x+3 by x+3 and verify the division algorithm

Answer»

On dividing

               ______________
         x+3)x^3-2x+3
                x^3         +3x^2
               -              -
             _____________
                    -2x +3-3x^2
                    -2x -6
                    +    +
                 __________
                          9 -3x
                     ________

  QX=  x^2-2
  rx= 9- 3x^2 
    
using DIVISION algorithm  

px = qx*gx + rx
 x^3-2x+3  =   (x^2-2)(x+3) +9-3x^2
                  =   x^3+3x^2 - 2x - 6 + 9 - 3x^2
                  =    x^3-2x+3  
      hence proved!!! 
    
 HOPE it helps you:)!!!



11.

Kantabai bought 1.5 kg sugar from a shop. she paid rs. 50 as return fare for rickshaw. total expense was rs. 700. then she realised that by ordering online the goods can be bought with free home delivery at the same price. do next month she placed the order online for 2kg tea and 7kg sugar. she paid rs. 880 for that. find the rate of sugar and tea per kg

Answer» LET price of tea and sugar be t and s resp,

So, 1.5t + 5s + 50 = 700

1.5t + 5s = 650....(1)

Now, we have

2T + 7s = 880....(2)

Solving (1) and (2) we GET

4 X [ 1.5t + 5s = 650 ]

6t + 20s = 2600 and,

3 X [2t + 7s = 880 ]

6t + 21s = 2640

So we get,

s = 2640 - 2600

s = 40

So, 2t + 7(40) = 880

2t = 880 - 280

2t = 600

t = 300

Therefore tea costs 300 PER kg, and sugar costs 40 per kg.
12.

Which country has most unemployment in the world

Answer»

Hey here is your ANSWER ☺️..


Zimbabwe is country which has highest RATE of unemployment in the world..


I HOPE IT WILL HELP YOU ☺️


Thnx for ASKING ur question ✌️✌️

13.

the sum of the two digit numbet is 15. if the number formed by reversing the digit is less than the orignial number by 27 . find the original answer. check your solution?

Answer»

Let the digit in unit PLACE be x.
and the digit in TENS place be y.
Number=10y+x
given that,
x+y=15.............1.

and 10x+y+27=10y+x
9x-9y=-27
x-y=-3.................2.

from 1 and 2

2x=12
x=6

putting x=6 in eq 1.
6+y=15
y=15-6
9

then the original number =96

14.

X-5/3=X-3/5 answer in detail

Answer»

Hey USER here is your answer....

---> GIVEN equation - x-5/3=x-3/5

◆Firstly we have to do cross multiply

So,

◆ 5(x-5)=3(x-3)

◆5x-25=3x-9

◆5x-3x=-9+25

◆2x=16

◆x=16/2

◆x=8

Hope it helps you☺️

15.

Define the term polynomial with the help of example

Answer»

Hey user here is your ANSWER!!!!!

----> Polynomial - In maths or MATHEMATICS , It is a expression with includes COEFFICIENT & variables in this.

◆ The polynomial can be of 1 ,2 etc degree.

◆It involves addiction(+) , substraction (-), multiplication(×), of variables.


---> LET's UNDERSTAND with example...


2x-5 =7

Here 4 is coefficient & x is variable .

◆7 is constant here.

---> 6x^2-2=7

Here degree of polynomial is 2

◆Degree of polynomial is define as highest power of equation.


Hope it helps you☺️



16.

Constructing an ellipse using concentric circle method

Answer»

I not UNDERSTAND your QUESTION

17.

How to find whether a line passes through which integer points?

Answer»

Substitute x and y VALUES in the EQUATION of the line and see if the equation is satisfied.
Yes-point LIE on the line
No- point does not lie on the line
EXAMPLE;
2x+y=5
the point (1,3) lie on this line while point (0,0) does not.
Hope this HELPS.

18.

Is it true to say that the quadratic polynomial x'2+35x+300are both negative?

Answer»

It is TRUE to SAY that QUADRATIC are NEGATIVE and POSITIVE both

19.

Solve this problem Xlog3 =(x-2) log5

Answer»

I HOPE this is the RIGHT answer...
if not then PLEASE let me KNOW....

20.

What is the remainder therom

Answer»

In algebra, the polynomial remainder THEOREM or little Bézout'stheorem is an application of Euclidean division of polynomials. It STATES that the remainder of the division of a polynomial by a LINEAR polynomial is equal to. In particular, is a DIVISOR of if and only if a property known as the factor theorem.

21.

Factorise : 12x^2-7^x+1 using factor theorem

Answer»

Hi,

********************************

Factor Theorem :

If p( x ) is a polynomial of degree n ≥ 1 and

' a ' is any real number , then

i )( x - a ) is a factor of p( x ) , if p( a ) = 0,

ii ) and it's converse " if ( x - a ) is a factor of

a polynomial p( x ) then p ( a ) = 0,

***********"***********************

Now ,

Let p( x ) = 12x² - 7x + 1 ,

= 12x² - 4x - 3x + 1

= 4x ( 3x - 1 ) - 1( 3x - 1 )

= ( 3x - 1 )( 4x - 1 )

TAKE 3x - 1 = 0 or 4x - 1 = 0

x = 1/3 or x = 1/4

p ( 1/3 ) = 12 × ( 1/3 )² - 7 ( 1/3 ) + 1

= 12/9 - 7/3 + 1

= 4/3 - 7/3 + 1

= ( 4 - 7 + 3 )/3

= 0

Therefore ,

x - 1/3 is a factor of p ( x ) .

2 ) p( 1/4 ) = 12 ( 1/4 )² - 7( 1/4 ) + 1

= 12/16 - 7/4 + 1

= 3/4 - 7/4 + 1

= ( 3 - 7 + 4 ) / 4

= 0

Therefore ,

x - 1/4 is a factor of p( x ).

Now , we CONCLUDE that ,

x - 1/3 , x - 1/4 are two FACTORS of p( x ).

I hope this helps you.

: )

22.

If (2a -b, 3) = (3, a + b) then

Answer» ANSWER is .....a is 2 and B is 1
23.

If a+1/a=6 find a- 1/a and a^2- 1/a^2

Answer» HI...☺

Here is your ANSWER...✌

GIVEN THAT,

a + \frac{1}{a} = 6 \\ \\ Squaring \: both \: sides \\ we \:get \\ \\ {(a + \frac{1}{a} ) }^{2} = {6}^{2} \\ \\ {a}^{2} + { \frac{1}{a {}^{2} } } + 2 \times a \times \frac{1}{a} = 36 \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } + 2 = 36 \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } = 34 \\ \\ Subtracting \: \: 2\: \: both \: \: side s \\ we \: get \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } - 2 = 34 - 2 \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } - 2 \times a \times \frac{1}{a} = 32 \\ \\ {(a - \frac{1}{a} ) }^{2} = 32 \\ \\ {(a - \frac{1}{a} ) }= \sqrt{32} \:\: or \: \: -\sqrt{32} \\ \\ {(a - \frac{1}{a} ) }= 4\sqrt{2} \: \: or \: \: - 4 \sqrt{2} \\ \\Now, \\\\ {a}^{2} - \frac{1}{ {a}^{2} } = (a + \frac{1}{a} )(a - \frac{1}{a} ) \\ \\ when \: (a - \frac{1}{a} ) = 4 \sqrt{2 } \\ \\  (a {}^{2} - \frac{1}{a {}^{2} } ) = 6 \times 4 \sqrt{2} \\ \\ = 24 \sqrt{2} \\ \\ when \: (a - \frac{1}{a} ) = - 4 \sqrt{2} \\ \\ (a {}^{2} - \frac{1}{a {}^{2} } ) = 6 \times ( - 4 \sqrt{2} ) \\ \\ = - 24 \sqrt{2}

HENCE,

(a - \frac{1}{a} ) = 4 \sqrt{2} \: \: or \: \: - 4 \sqrt{2} \\ \\ and \\ \\ (a {}^{2} - \frac{1}{a {}^{2} } ) = 24 \sqrt{2} \: \: or \: \: - 24 \sqrt{2}
24.

Find the area of trapezium whose parallel side are 10and 20 and non parallel side are 10 each

Answer»

A = 10

b = 20

H =10

area of trapezium = 1/2 h(a+b)

1/2 *10(20+10)


1/2 *10(30)

= 5(30)


= 150 cm

25.

Simplify (3root3+2root2)(2root3+3root2)

Answer»

The RESULT is 30 + 13 ROOT 6

26.

At what radius does a curved surface appear straight

Answer» INFINITELY more of CLANS
27.

If x=√3-√2/√3+√2 and y=√3+√2/√3-√2 find the value of x^2+y^2+xy

Answer»

This ANSWER is CORRECT or not

28.

16/11 × 12 Please solve it

Answer»

16/11×12
=192/11
=17.45 (ANS)

29.

25/4x25.4 x square minus 5 square up on 9

Answer»

Hxikf
nkfmfj.zdifd



ncjkc



cnkdkm

30.

,600+(_1000)/(_100)+(_100)

Answer» U R ANSWER is 510 it is CORRECT
31.

Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case.

Answer»

Hey friend, here is your answer ☺ __________________________
If we subtract the remainders from the given NUMBERS, we get the perfect numbers which are totally DIVISIBLE.
25 - 7 = 18
40 - 7 = 33
60 - 7 = 53
Now , to find the smallest number, we have to find LCM (Least Common Factor). To find LCM, we have to find the factors of these numbers.
18 = 2 × 3 × 3
33 = 3 × 11
53 = 53 (as 53 is a prime number)
Now, LCM = 3 × 3 × 11 × 2 × 53 = 7544.
The smallest number is 10494.

32.

On comparing the ratios check whether the given pair of lines are parallel, intersecting or coincident . 2x+y=3 and 4x+2y=6. 3x+2y=5 and 2x-3y=7.

Answer» 1. COINCIDENT 2. INTERSECTING
33.

Defind abelian group

Answer»

In ABSTRACT algebra, an abelian GROUP also called a commutative group, is a group in which the result of APPLYING the group operation to TWO group elements does not depend on the order in which they are WRITTEN.

34.

A shirt can be stitched 9/4 my of cloth. how many shirts can be stitched using 63/2 my of cloth

Answer»

Just DIVIDE 63/2 by 9/4

=> 63/2 / 9/4 => 63/2 * 4/9
=> 126/9
=> 14 SHIRTS

35.

Graphically solve the following pair of equation 2 X + Y is equal to 6

Answer»

Your QUESTION is INCOMPLETE

36.

find the area of rhombus whose perimeter is 800 and one of its diagonal is 320 also find the length of diagonal

Answer»

The LENGTH of the DIAGONAL is 80.

37.

The number of girls in class 8th is 7/2 times the number of girls in class 7th. if there are 10 girls in class 7th, how many girls are there in class 8th

Answer»

Have U GOT it is 35 GIRLS

38.

The average of four consecutive odd numbers is 24. Find the largest number.

Answer»

The ANSWER MUST be 27

39.

Prove that n(A union B) =n(A) + n(B) - n(A intersection B)

Answer»

C/C++ program to FIND union and intersection of two unsorted. // linked LISTS. #include. #include. #include. /* Link list node */. struct Node. {. INT data;.

40.

Factorise:27x³+y³+z³-9xyz

Answer» USE A3 + B3 + C3 - 3ABC=(a+b+c)(a2+b2+c2-ab-bc-ca)
where a=3x,b=y,c=z
41.

Solve this ----Chapter: DifferentiationStandard: 12Answer: √2Please don't give useless answer. It's a Request.PLEASE SOLVE IT

Answer» DNT KNOW WHETHER its correct or not
power rule is USED.....
42.

What is difference between rational and irrational number

Answer»

Key Differences Between Rational and Irrational Numbers. ... An irational NUMBER is a number which canot be expressed in a ratio of 2 integers. In rational numbers, both NUMERATOR and DENOMINATOR are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be WRITTEN in a fraction

43.

HeyAnswerNeeded With Full explanation#No Spamming#Surya...

Answer»

Heya,

LET the cost of full and half first class fare be Rs. x and Rs. x/2 respectively and reservation charges be Rs. y per ticket.

CASE 1

The cost of one RESERVED first class ticket
from stations A to B,

= Rs. 2530

x + y = 2530 ( i )

CASE 2

The cost of one reserved first class ticket and one reserved first class half ticket from stations A to B = Rs. 3810

x + y + x/2 + y = 3810

3x/2 + 2y = 3810 , 3x + 4y = 7620 ( ii )


Now, multiplying equation ( i ) by 4 and then subtracting from equation ( ii ) , we GET

( 3x + 4y ) - ( 3x + 4y ) = 7620 - 10120 - x = -2500

x = 2500

On putting the value of x in equation ( i ) we get,

2500 + y = 2530

y = 30

Hence, full first class fare from stations A to B is Rs. 2500 and the reservation for a ticket is Rs. 30.....

Hope this will help you ! : )



44.

Solve the question A.P

Answer» GIVEN term26 = 0
a+25d =0 --------(1st)
term11 = 3
a+10d =3 ---------(2nd)
SUBTRACT 2from 1,
a+25d-a-10d =0-3
15d= -3
d= -3/15 = -1/5
PUT the VALUE of d in eq. 1st
a=25÷(1/5)
a=5
also I = -1/5
a+(n-1)d=-1/5
5+(n-1)(-1/5)=-1/5
5-1n/5+1/5 =-1/5
31/5+1/5=1n/5
32/5=1n/5
32/5*5=n
n=32
Ihope that it will help you
if any dot plz ask
45.

If sin 2A=4sin 2B ,then show that 5tan(A-B)=3tan(A+B).

Answer»

I HOPE this will HELP U..

46.

Time difference between 100ms and 350ms on the basis of ibeacon

Answer»

The “Interval” setting determines how often your beacon will transmit its advertising packet (i.e. basically telling nearby devices “I'm here!”). This is usually measured in MILLISECONDS (ms), but can be measured in seconds (s) at the very HIGHEST interval ranges.

In PRACTICE however – you’ll generally only be concerned with the differences in milliseconds. There are (as of this WRITING) not many applications where using a seconds-long interval is particularly useful. This may of course CHANGE in the future.

Effect of interval on battery life (single battery beacon

47.

If y is the principal square root of 5 what must be true

Answer» SINCE every square root has a positive and a negative solution, for √9 = -3 or +3 The principal square root defines only the positive solution (between the two) if y is the principal square root of 5, then it MUST be the positive square root of 5, not the negative square root of 5.
48.

How many different 4 digit numbers can you make out of 1,2,3,4,0 which are divisible by 2?

Answer»

The ANSWER WER was 2,4

49.

Hey !!A Motor Boat can travel 30km upstream and 28 km downstream on 7 hrs.It can travel 21 km Upstream a s 40km downstream in 5hrs. Find speed of Stream And Boat...#Need With Full explanation#No Spamming#Surya...

Answer»

Heya !!

Here's your answer.. ⬇⬇

_______________________________

Let speed of boat in still water be x km/hr and speed of stream be y km/hr.

We know, Speed = Distance/Time

Time = Distance/Speed

In 1st case, when boat travels 30km UPSTREAM, let time taken in hours be t1.

t1 = 30/( x-y )

let t2 be the time in hours taken by boat to go 28 km downstream.

t2 = 28/( x+y )

Total time taken is t1 + t2 is 7hrs.

30/( x-y ) + 28/( x+y ) = 7. ---( 1 )

In 2ND case, in 5hrs it can go 21km upstream and 40km downstream.

21/( x-y ) + 40/( x+y ) = 5 ---(2)

Let 1/( x-y ) = a and
1/( x+y ) = b

Now, new eq. will be..,

30A + 28b - 7 = 0 ----( 3 )
21A + 40b - 5 = 0 ----( 4 )

Solve by cross multiplication..,

a1 = 30, b2 = 28, C2 = ( -7 )
a2 = 21, b2 = 40, c2 = ( -5 )

\frac{a}{b1c2 - c1b2} = \frac{b}{c1a2 - c2a1} = \frac{1}{a1b2 - a2 b1} \\ \\ \frac{a}{28( - 5) - ( - 7)(40)} = \frac{b}{( - 7)(21) - ( - 5)(30)} = \frac{1}{30(40) - 21(28)} \\ \\ \frac{a}{ - 140 + 280} = \frac{b}{ - 147 + 150} = \frac{1}{1200 - 588} \\ \\ \frac{a}{140} = \frac{b}{3} = \frac{1}{612} \\ \\ a = \frac{140}{612} \: \: \: b = \frac{3}{612} \\ \\ \frac{1}{x - y} = a = \frac{35}{153} \: \: \\ \\ \frac{1}{x + y} = b = \frac{1}{204} \\ \\ x - y = \frac{153}{35} \: \: ...(5) \\ \\ x + y = 204 \: \: \: \: ..(6) \\ \\ 35x - 35y = 153 \\ \\ multiply \: \: eq.(6) \: \: by \: \: 35 \\ \\ 35x + 35y = 7140 \\ \\ add \: \: both \: \: eq. \\ \\ we \: \: get \: \: \\ \\ 70x = 7293 \\ \\ x = 104.18 \\ \\ x + y = 204 \\ \\ y = 204 - 104.18 \\ \\ y = 99.82

x = 104.18
y = 99.82

Speed of boat ( x ) = 104.18 km/hr.
Speed of stream ( y ) = 99.82 km/hr.

_______________________________

Hope it helps..

Thanks :))

50.

the sum of the digits of a two digit number is 9 also nine times this number is twice the number obtained by reversing the order of the digits find the number

Answer»

Let  two digit number be 10x + y

sum of two digit = x+y = 9 

reversed number = 10y+x

according to q.

9(10x + y) = 2(10y + x)

90x + 9Y = 20X + 2y

88x  =  11y

8x = y

putting value in x  + y = 9

x+ 8x =9

9x = 9

 x = 1 

y  = 9 - x

y  = 8

number is 10x + y

10 + 8

18