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.

Which of the following is the value of sin 90°? Choose the correct alternative answer for multiple choice question.(A) √3/2(B) 0 (C) 1/2(D) 1

Answer»

The CORRECT ANSWER is 1...
SIN 90°= 1

2.

Express 1.32 + 0.35 bar. Bar is in 32 and 35THE as a fraction in simplest form

Answer»

Here is your ANS....

3.

A two digit number is such that the sum of its digits is 4. if 18 are added to the number its digits reserved. find the number

Answer»

Please MARK my ANSWER Brainliest... I HOPE my answer is right and it will HELP you

4.

3,6 Co-ordinates of pair of points are given. Hence find the distance between given pair.

Answer»

This is very DIFFICULT

5.

Convert 2:3:5 as percentage

Answer»

If it  is: Convert each term of RATIO into PERCENTAGE here is the method:

2/(2+3+5)*100
=2/10*100
=20%

3/(2+5+3)*100
=3/10*100
=30%

5/(2+5+3)*100
=5/10*100
=50%

6.

d(A,B)=16, d(C,A)=9, d(B,C)=7 From the given information , find which of the point is between the other two. If the points are not collinear, state so.

Answer»

Answer:

C lies between A and B.

A, B and C are collinear.

Step-by-step explanation:

In the question,

We have been provided that,

Distance between A and B is,

d(A, B) = 16

Distance between C and A is,

d(C, A) = 9

and,

Distance between B and C is,

d(B, C) = 7

So,

We can draw it LIKE, as we can SEE that,

d(B, C) + d(C, A) = 9 + 7 = 16

So,

The common POINT between them is C.

Therefore, we can say that the point lying between A and B is C.

Also,

we can see that from the figure attached below:

C lies between A and B.

and,

Therefore,

A, B and C are collinear.

7.

Find the pythagorean triplet in which one number is 12

Answer»

5,12,13 is the PYTHAGOREAN TRIPLET in which 13 is ONE of it

8.

If 8 pipes fill a tub in 1 hour if 4 pipes are used what is the time taken

Answer»

2hour was TAKEN by 4pipes

9.

Find 12 rational numbers between -1 and 2

Answer»

0,1/2,1/3,1/4,1/5,1/6,1

10.

How to do common factors of 15 and 25

Answer»

You have to solve 15 and 25 by TAKE the LCM of
HOPE THIS ANSWER WILL HELP U BUDDY if it GIVE than u have to bring INFORMATION about some of the

11.

Find the cube of -3/8

Answer» HOPE it HELPS you PLEASE MARK as BRAINLIEST
12.

Find the area of triangle whose sides are 8cm and 11 cm and perimeter 32.

Answer»

Hey BUDDY here is your ANSWER HOPE you will find it HELPFUL

13.

Find the remainder when 3x^3+5x^2+11x+7 is divided by3x+1

Answer»

ʜᴇʏ ᴍᴀᴛᴇ!!

ʜᴇʀᴇ's ᴜʀ ᴀɴsᴡᴇʀ;-)

ʀᴇғᴇʀ ᴛᴏ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ ᴀʙᴏᴠᴇ

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs☺️☺️

14.

The smallest number by which 2560 must be multiplied so that the product a perfect cube

Answer»

60 is the smallest number should be MULTIPLIED with 2560 to GET a perfect cube

15.

Please solve it by Cramer's rule

Answer»

Here is Your ANSWER of the question.
2x + 3y=2........(I);
X - y/2 = 1/2.....(II);

Now, Solving equation (II)
x = 1+y/2
2x-y= 1............(II);
————————————————
2x + 3y=2........(I);

-(2x-y= 1)............(II);
_______________________
4y = 1
y= 1/4;

Putting the Value of 'y' in equation (II) we get -

2x - 1/4= 1
x= 5/8;

16.

In how many ways can the letters of the word FRATION be arranged so that no two vowels are together

Answer»

When vowels are together = 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720 WAYS

When vowels are not together = 40320 ways - 720 ways

When vowels are not together = 39600 ways

17.

What is the root form of 40

Answer»

6.32455532 ANSWER....

18.

Find the measures(in degrees) of two complementary angle if they are two consecutive even integers.

Answer»

Let US CONSIDER two angles to be A and B
Since angles A and B are complementary
A+B=90 degrees
Let B>A
Since A and B are CONSECUTIVE INTEGERS
B=A+2
so finally A=44 degrees and B=46 degrees

19.

Find the equation 4√3,5+2√-1

Answer»

20–√3
Hope it will HELP

20.

The difference between square of two numbers is1200. The square of smaller numbers is twice the greater number. Find the number.

Answer» LET ONE number be x.
and ANOTHER number be y.
A/Q
x²-y²=1200.................1.

also y²=2x............. 2.
PUTTING 2x in EQUATION 1.
x²-2x-1200=0



21.

If x+y=9 and xy=20 then find the value of x^2+y^2

Answer» HOPE this HELPS you ☺☺☺
22.

In an isosceles triangle AB=AC and BA is produced to D, such that AB=AD then angle BCD is

Answer»

There is no ANGLE called bcd CHECK the QSTN and CLARIFY pls

23.

X+y+z=9and xy+yz+zx=26 to x²+ y²+z²= ?

Answer»

Heya..........!!!

_____________________________

This question can be easily solved by applying the identity :

=> ( X + y + z )² = x² + y² + z² + 2 ( xy + yz + ZX )


Given in the question :

--» x + y + z = 9
--» xy + yz + zx = 26


=> ( 9 )² = x² + y² + z² + 2 ( 26 )

=> 81 = x² + y² + z² + 52

=> x² + y² + z² = 81 - 52



♦ 29. is the required ANSWER .



===================================


HOPE It Helps You ☺

24.

2x^2-x+1/8 factorise

Answer» HEY...
Here is UR answer in this FIGURE..
Hope this will help U...
25.

Cube root of 9261 is ?

Answer» HEY friend ☺ here is the answer ___________________________

PLZ see this attachment

hope this HELPS you..
26.

Write 4 rational number between 2/3 and 5/3

Answer» 4 RATIONAL number between 2/3 and 5/3 are
\frac{2}{3}  =  \frac{2}{3}  \times  \frac{2}{2} =  \frac{4}{6}  \\  \\  \frac{5}{3}  =  \frac{5}{3}  \times  \frac{2}{2}  =  \frac{10}{6}
4 rational number between 4/6 and 10/6 are
5/6, 6/6, 7/6, 8/6 etc....
hope this helps you

plz MARK as brainliest answer plzzzzz mark as brainliest answer plzzzzz PLZZZZZZZZZZZZZ
27.

Perimeter of a rectangle is 108/7m. If the length is 30/7m,find its breadth

Answer» 2(l+b)=perimeter
2b=108/7-60/7
2b=48/7
b=24/7
28.

X^2-1-2y-y^2 factorise

Answer»
{x}^{2}  - ( {y}^{2}  + 2y + 1) \\  {x}^{2}  - ( {y + 1)}^{2}  \\ because \: ( {x + y)}^{2}  =  {x}^{2}  + 2xy +  {y}^{2}  \\  {x}^{2}  -  {y}^{2}  = (x - y)(x + y) \\ apply \: the \: identity \\ (x - y - 1)(x + y + 1)
29.

Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1:5

Answer»

The POLYGON has 12 SIDES

30.

Solve the following linear equation

Answer»

Given,
X/2 + y = 0.8

→(x+2y)/2 = 0.8

→x+2y =1.6

→5(x+2y)= 1.6*5

→5x + 10Y = 8.0.............(i)

And,

→7/(x +y/2) = 10

14/(2x +y) = 10

→10(2x+y) = 14

→5(2x+y)= 7

→10x +5y =7

→2(10x +5y) =7*2

→20x + 10y = 14......................(ii)
Now,

Substracting equation (i) form (ii)
We get,
15 x = 6

x= 6/15

x= 2/5

PUTTING x= 2/5 in equation (ii)

(2/5)/2 +y= 0.8

y= 3/5
Refer to attachment

31.

A take 10days less thantime taken by b to finisha peice of work. if a and b together can finish the work in 12 days find the time takenby b to finish the work

Answer»

A takes 10 days less than time TAKEN by B to finish piece of work so,
A = B - 10.......(1)

let take X as time taken to finish a piece of work by
B = x
then A = x-10

one day work of A,
A= 1/(x-10)
one day work of B,
B = 1/x

A and B work together to finish a job in 12 days so,
A+B = 12

one day work of A and B
A+B = 1/12..........(2)

substitute A and B in (2)
1/(x-10) + 1/x = 1/12
(x+x-10)/(x*(x-10)) = 1/12
(2x - 10)*12 = x²-10x
24x - 120 = x²-10x
x²-10x-24x+120 = 0
x²-34x+120 = 0
x²-4x-30x+120 = 0
x(x-4)-30(x-4) = 0
(x-4)(x-30) = 0
x= 4,30

B finish a job in x= 4 days is not possible because A and B work together for 12 days so B time taken to finish a should be greater than 12

so B finish the job in x=30 days

A finish the same job in x-10 = 30-10 = 20 days

to check WHETHER A=20, B=30

one days work of A and B together,

A+B = 1/20+1/30
A+B = (30+20)/600
A+B = 50/600
A+B = 1/12

time taken to finish whole work of A and B together

A+B = 12

32.

If x=2 and x=0 are roots of the polynomial f(x) = 2x³-5x² + ax+b find the value of a and b

Answer»

F(X) = 2x^3 - 5x^2 +ax + b

=> f(0) = 0

=> 2(0) - 5(0) +a(0) + b = 0

=> b = 0 ------(1)

Now,

f(2) = 0

=> 2(2)^3 - 5(2)^2 + a(2) + b = 0

=> 16 - 20 + 2a + b = 0

=> 2a + b = 4

=> 2a + 0 = 4 [ using equation 1]

=> 2a = 4

=> a = 2

33.

Algorithm to find inverse of a matrix n*n

Answer»

Hello Sir,
HOPE this HELPS You,



Below example and explanation are taken from here.
5 -2 2 7
1 0 0 3
-3 1 5 0
3 -1 -9 4

For instance, the cofactor of the top left corner '5' is
+ |0 0 3|
...|1 5 0| = 3(1 * -9 - (-1) * 5) = -12.
...|-1 -9 4|
(The minor matrix is formed by deleting the row
and column of the given entry.)

As another sample, the cofactor of the top row corner '-2' is
-|1 0 3|
...|-3 5 0| = - [1 (20 - 0) - 0 + 3 (27 - 15)] = -56.
...|3 -9 4|

Proceeding like this, we OBTAIN the matrix
[-12 -56 4 4]
[76 208 4 4]
[-60 -82 -2 20]
[-36 -58 -10 12]

Finally, to get the adjoint, just take the previous
matrix's transpose:


[-12 76 -60 -36]
[-56 208 -82 -58]
[4 4 -2 -10]
[4 4 20 12]

_________
Please Click on Heart Button if it worked and. Plz BRAINLIEST This Answer.
THANKS

34.

Factorize : x^2 + 25x + 144

Answer»

It is your ANSWER OK

35.

Maths question ... solve it's very easy

Answer»

2X-20=5
2X=20-5
2X=15
X=15/2
X=7.5

36.

X^-1*y^-1/x^-1+y^-1 simplify this. Indices sum

Answer»

(1/x*1/y)/(1/x+1/y)
(1/xy)/(y+x/xy)
1/xy*xy/y+x
1/y+x (ANSWER)
HOPE IT HELPS YOU. PLEASE MARK AS BRAINLIEST.

37.

Two angle are supplementary and the larger is 20°less then three times the smaller.find the angle

Answer» LET SMALLER ANGLE =x
largerangle=3x-20
so,a.t.q
x+3x-20=180
4x=180+20
4x=200
x=200÷4
x=50
3x-20=50×3-20
=130


38.

Complete the following Cumulative Frequency Table :Class(Monthly income in Rs.)1000-5000 5000-10000 10000-15000 15000-20000 20000-25000Frequency(No. of individuals)45 19 16 02 05 Total N = 87More than or equal to type cumulative frequency..................................................

Answer»

Answer:

Step-by-step EXPLANATION:

(Monthly income in Rs.)  Frequency  CUMULATIVE Frequency

                                                              More than or

1000-5000                              45          87  

5000-10000                            19          42

10000-15000                           16           23

15000-20000                          02          07

20000-25000                         05          05

(Monthly income in Rs.)  Frequency  Cumulative Frequency Less Than

1000-5000                              45          45  

5000-10000                            19           64

10000-15000                           16           80

15000-20000                          02          82

20000-25000                         05          87

39.

Find the greatest number that divides2011 and 2623 ,leaving remainders 9 and 5

Answer»

First we will subtract 9 from 2011 and 5 from 2623. then find HCF you will get 154 .

40.

8th class trigonometry problem

Answer»

In CLASS 8TH there is no TRIGONOMETRY

41.

7×11×13+13 it is prime or composite

Answer»

It is COMPOSITE NUMBER
7 \times 11 \times 13 + 13 \\ 13(7 \times 11 \times 1 + 1) \\ 13(7 7 + 1) \\ 13 \times 78
so this number have more than 2FACTORS(1,13,78)

42.

2sin30°+cos0°+3sin 90°, Find the values of it

Answer»

Your ANSWER is =5 !!

43.

X=6-root35 ,find x^2+1/x^2

Answer»

Hey buddy..

here is the ANSWER for your question

hope this helps....

PLEASE MARK my answer as BRAINLIST answer....

44.

A factory produces 1525 toys in a day . How many toys will be produced in a year

Answer»

549000 TOYS..............

45.

Given A(4,-3), B(8,5). Find the coordinates of the point that divides segment AB in the ratio 3ः1.

Answer» Given, 
Co-ordinates of the Point A (x₁, y₁) = (4,-3) 
Co-ordinates of the Point B (x₂, y₂) = (8,5)

Ration of division ( m₁:m₂) = 3 : 1

Now, USING the Section FORMULA

 P(x,y) = [(m₁x₂ + m₂x₁)/(m₁ + m₂) , (m₁y₂ + m₂y₁)/(m₁ + m₂)]
           = [(3 × 8 + 1 × 4)/(3 + 1) , (3 × 5 + 1 × -3)/(3 + 1)]
           = [28/4 , 12/4]
          = (7,3) 


Hence, the co-ordinates of the Point P is (7,3).


Hope it helps.
46.

Find the coordinates of circumcentre and radius of circumcircle of ΔABC if A(7,1), B(3,5) and C(2,0) are given.

Answer»

Let O = (a, B) is the centre of circumcircle .
then, AO = BO = CO = RADIUS of circumcircle
\because AO = BO = CO
\therefore AO² = BO² = CO²

use distance formula,
so, (a - 7)² + (b - 1)² = (a - 3)² + (b - 5)² = (a + 2)² + b²

now, (a - 7)² + (b - 1)² = (a - 3)² + (b - 5)²
a² - 14a + 49 + b² - 2b + 1 = a² - 6a + 9 + b² - 10b + 25
-14a + 6a - 2b + 10b + 50 - 34 = 0
-8a + 8b + 16 = 0
a - b - 2 = 0
a = b + 2 -------(1)

Similarly, (a - 3)² + (b - 5)² = (a - 2)² + b²
a² - 6a + 9 + b² - 10b + 25 = a² - 4a + 4 + b²
-6a + 4a - 10b + 34 - 4 = 0
-2a - 10b + 30 = 0
a + 5b = 15 ------(2)

from EQUATIONS (1) and (2),
b + 2 + 5b = 15
6b = 13 , b = 13/6
and a = 19/6

HENCE, centre of circumcircle = (19/6,13/6)
now, radius of circumcircle = \sqrt{(19/6-7)^2+(13/6-1)^2}
= \sqrt{538}/6

47.

Distance of point (-3,4) from the origin is ...... .Fill in the blank using correct alternatives.(A) 7 (B) 1 (C) 5 (D) -5

Answer» USE DISTANCE formula,
We know, if TWO POINTS (x₁, y₁) and (x₂,y₂) are given,
then distance between them = \bf{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

Now, we have to find distance between (-3,4) and ORIGIN e.g., (0,0)
so, distance between them = \bf{\sqrt{(0+3)^2+(0-4)^2}}
= \bf{\sqrt{9+16}=5}
hence, option (c) is correct
48.

Insert six rational between 1/2and 2/5

Answer»

Here the LCM of deno. 2 & 5 is 10

= 1/2*5/5 & 1/5*2/2
= 5/10 & 4/ 10
= 5/10 × 10/10 & 4/10 × 10/10
= 50/100 & 40/100
HENCE 6 rational no. between them are 49/100 , 48/100, 47/100, 46/100, 45/100, 44/100 .......

49.

The ratio of length and breadth of a rectangle is 3:1,and its perimeter is 36 cm.Find the length and breadth of the rectangle.

Answer» LET LENGTH =3X CM
breadth=x cm
6x+2x=36 cm
8x=36 cm
x=9/2 cm
length=27/2 cm
breadth =9/2 cm
50.

If a+b+c=5 and ab + bc + ca = 10 , find the value of a cube + b cube + c cube - 3abc

Answer» HOPE this is the ANSWER SEE in IMAGE