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.

Find the multiplicative inverse of the following:

Answer»

A- 5÷7
b- INFINITE
C- -1÷8
d- -5÷2
hope it HELPS you!!

2.

If 1/3 of a number exceeds its 2/7 by 1 ,find the number.

Answer»

Hi ,

This word problem related to linear equations in one varibles.
Read the problem carefully and convert it into linear equation.

Let the number = x

1 / 3 RD of the number = x / 3

2 / 7 of the number = 2x / 7

Relation given is ,

1 / 3 of the number exceeds its 2 / 7 by 1.

x / 3 - 2x / 7 = 1

L C M of 3 and 7 = 3 × 7 = 21

( 7x - 6x ) / 21 = 1

x / 21 = 1

Multiply both sides with 21 we get

21 × x / 21 = 1 × 21

x = 21

Therefore
Required number = x = 21

I HOPE this will USEFUL to u.

*****

3.

In a competetive exam of 40 questions, +3 is awarded for correct answer and -1 for every wrong answer. Find the total score if a student had 11 wrong answers in his attempt of all questions.

Answer»

Let the TOTAL MARKS =120
no. of marks lost=11
the total score GOT by the STUDENT =120-11=109

4.

The angles of quadrilateral are in the ratio 3:5:9:13 find all the angle of the quardrilateral

Answer» HEY !!

let the angles be 3x , 5X , 9x , 13x

Then

3x + 5x + 9x + 13x = 360
30x = 360
x = 360 / 30 = 12

Hence the angles are
3x = 3 × 12 = 36
5x = 60
9x = 108
13x = 156
5.

A squareroot b=squareroot 128 and a=8 then find the value of b

Answer» PIKACHU! Your ANSWER ^_^
_____________________________________________________________

a√b = √128 ( as √128 = √64*√2 = 8√2 ) and ( a = 8 GIVEN )

8√b = 8√2

√b = √2

b = 2
_________________________________________________________

Pikachu! ^_~
6.

What comes just before 1 0000000

Answer»

9999999 is the numbercomes before

7.

The sides of a triangle taken in order are each 3cm longer than the preceeding side. if the perimeter of the triangle is 81cm find the length of its sides

Answer»

Let ONE SIDE be x
then other TWO will be x+3 and x+3+3
buy perimeter of triangle=81
x+x+3+x+6=81
3x=81-9
3x=72
x=24

8.

How many integer are there between-15 to 15

Answer»

-14 , -13 ,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5, 6,7 ,8 ,9 ,10 ,11 ,12 , 13 and 14

9.

if the sum of zeroes of the polynomial p(x)=(a+1)x^+(2a+3)x+(3a+4) is -1 find the product of the zeroes

Answer»

Hey Friend ☺

p ( x ) = ( a + 1 )x^2 + ( 2a + 3 )x + ( 3a + 4 )

The SUM of zeroes is - 1

i. e.

2a + 3 = - 1

》2a = - 1 - 3

》2a = - 4

》a = - 2

Product of zeroes = ( 3a + 4 )

= 3 ( - 2 ) + 4

= - 6 + 4

= - 2

So the product of zeroes is - 2

HOPE it helps you ..!

✌

10.

Find the HCF of 510,and92

Answer» HOPE you GET it 4 as ANSWER
11.

What is meant by mean proportion

Answer»

Definition of MEAN proportional, geometric mean like the square root (such as X) of the PRODUCT of two numbers (such as a and B) when expressed as the MEANING of a proportion (such as a/x = x/b)

12.

Find the square root of 2025 by prime factorization

Answer»

Here is UR answer i HOPE it WOULD HELP u

13.

If one zero of the polynomial x^2-4x+1 is 2+root3.write the other zero

Answer»

The answer is given below :

The POLYNOMIAL is
({x}^{2}  - 4x + 1)

since \: (2 +  \sqrt{3} ) \: is \: a \: zero\\ of \: the \: polynomial \: then \\ (2 -  \sqrt{ 3} ) \: be \: the \: other \: conjugate \:  \\ zero.

(ANOTHER PROCESS is given in the attachment.)

THANK you for your question.

14.

Anyone question is not coming please help me

Answer» PR QUESTION kya hai yeh toh BRA DI
15.

A train travelling at a uniform speed for 360 km would have taken 48 minutes less to travel the same distance if its speed were 5km/hr is more.find the orginal speed of train

Answer»

Let the uniform/original speed be x km/hr.

Then according to question,

360/x = 360/x+5 + 48/60 

We divide 48 by 60 in order to convert it into hr from min.

360/x - 360/x+5 = 48/60

360(x+5) - 360(x) / x(x-5) = 4/5

5(360 x - 360 x + 1800) = 4 (x² - 5 x)

5(1800) = 4(x² - 5 x)

9000 = 4 x² - 20 x

⇒ 4 x² - 20 x - 9000

(÷4)

⇒ x² - 5 x - 2250

⇒ x² - 50 x + 45 x - 2250

⇒ x(x-50) + 45(x-50)

⇒ (x+45)(x-50)

Then x = -45 km/hr, 50 km/hr

As speed cannot be negative.

Hence original/uniform speed is 50 km/hr.
________________________________________________________

☺☺☺ Hope this HELPS ☺☺☺




16.

An officer wants to arrange 202500 cadets in a form of a square.How many cadets are there in each row?

Answer»

Given :Total number of cadets = 202500
Number of cadets to arrange in PERFECT square rows = 202500
number of rows = number of cadets in each row,
Total number of cadets = number of rows × number of cadets in each row
202500 = number of rows × number of cadets in each row
202500 = (Number of cadets in each row)²
Number of cadets in each row = √202500
Number of rows = √ (2×2)×(5×5)× (5×5)×(3×3) ×(3×3)
Number of cadets in each row = 2 × 5 ×5 × 3× 3 = 450

Hence the number of cadets in each row is 450 .
HOPE THIS WILL HELP YOU...

17.

Decimal fraction is multiplied by itself if the product is 251 938 025 find the number

Answer»

The ANSWER is 5038760.4

18.

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C prove thatAE square + BD square = AB square + DE square

Answer»

Join BD,AE and DE.Then u will SHOW th TOTAL ANSWER in my image.Ok

19.

The denominator of a fraction is exceed by 2 and 5 is added to

Answer»

I am considering that your question is like this:-

The denominator of a fraction exceeds the numerator by 2. If 5 be added to the numerator the fraction increase by UNITY. The fraction is? 
Here is the answer :-

Numerator = x


then,

Denominator = x + 2

(x+5)/(x+2) = x/ (x+2) +1

(x+5)/(x+2) - x/(x+2) =1

(x+5 -x)/(x+2)= 1

5/(x+2) = 1

5 = x + 2

x = 3

so,

numerator = x = 3
denominator = x+2 = 3+2 = 5

Fraction = 3/5

:D


20.

After reading 7/9 of book 40 pages are left how many pages are there in the book

Answer»

2/9 th of BOOK is 40 pages 1/9 would be 20 1 would be 180 2/9:40::1:180

21.

Given that root two is irrational prove that (5+3root two)is an irrational

Answer» HEY friend, Harish here.

Here is your answer:

Given that,

√2 is an irrational number.

To  prove,

5 + 3√2 is an irrational number.

Assumption:

Let 5 + 3√2 be a RATIONAL  number.

Proof:

As 5 + 3√2 is assumed to be rational , then it MUST be of the form p/q, Where q≠0.

Then,

5+3 \sqrt{2} = \frac{p}{q}

3 \sqrt{2} = \frac{p}{q}-5 = \frac{p-5q}{q}⇒ 

\sqrt{2}= \frac{p-5q}{3q}⇒ 

We know that,

\sqrt{2}\ is \ irrational\ (Given)

\frac{p-5q}{3q} \ is \ rational

As rational ≠ irrational.

We contradict the statement that 5+3√2 is rational.

Therefore it is irrational.
_______________________________________________

Hope my answer is helpful to you.
22.

if the angle of a triangle are in the ratio of 5:3:7 then show that the triangle is an acute angled triangle

Answer»

Angle sum property of triangle

A + B +C = 180°

Let the angle here be 5x ,3x and 7x

Then ,
5x + 3x + 7x = 180°
15x = 180°
x = 12°

A = 5x = 5×12=65°
B = 3x = 3×12° = 36°
C = 7x = 7× 12 = 84°

Since all the angles are LESS than 90° , they are acute angles.

Hence PROVED

✌Hope it HELPS ✌

23.

the price of sugar is increased by 20% by what percent must be the consumption of sugar be decreased so that the expenditure on sugar remain same

Answer»

HEY.......
HERE IS U R ANSWER
===================================

LET THE PRICE BE 100
AFTER INCREASE IT WILL BE 120
AS 20% OF 100 IS 20.

THE PRICE SHOULD BE DROPPED BY 20
SO THAT IT WILL BE 100
SO %AGE = 20/120 * 100
= 1/6 * 100
= 100/ 6 = 16.67%


===================================
HOPE IT WILL HELP YOU A LOT....
THANKU.....

24.

If A(2,-3) B(-3,5) are end points of diameter of circle then find the equation of circle

Answer»

The midpoint of EXTREMITIES of the DIAMETER is CENTER of the circle ...DISTANCE b/w centre and one point is radius EQUATION of the circle is [x+1/2]^2+[y-1]^2=89/4

25.

addition of three number is 264 if first number is double of second number and third number is 1/3 of first number then what is second value?

Answer» LET second be X,

ATQ,

first number  = 2x

third number =  1/3 of 2x  = \frac{2x}{3}


Now,

x+2x +  \frac{2x}{3} = <klux>264</klux>

\frac{3x+6x+2x}{3} = 264

11x = 264*3

11x = 792

x= \frac{792}{11}

x =72


Now,

number are :- x = 72


                    2x = 2*72= 144

                     \frac{2x}{3}=  \frac{72*2}{3} = 24*2 = 48



second value = x = 72 





i hope this will help you


-by ABHAY

26.

Factorise using identities. x4 x2 1

Answer»

HEY!!

 X4 + x2 + 1

= x4 + 2X2 + 1 - x2
= (x2 + 1) - x2
= (x2 + 1 - X ) (x2 +1 + x )

27.

3/5 of an year (in days)

Answer»

3/5x365=219days....ANSWER

28.

Express 7 by 8 in the decimal form and write 8 decimal expansion

Answer»

0.875will be ANSWER.......

29.

find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients x square - 2 x minus 8

Answer»
x {}^{2}  - 2x - 8 = 0 \\ x {}^{2} - (4 - 2)x - 8 = 0 \\ x {}^{2}  - 4x + 2x - 8 = 0 \\ x(x - 4) + 2(x - 4) = 0  \\ (x - 4)(x + 2) = 0 \\ x = 4 \: and \:  - 2
so the zeroes are 4 and -2

In the QUADRATIC EQUATION , a=1 , b=-2 , C= -8
sum of zeroes = -b/a
2=2

product of zeroes =c/a
-8= -8
Hence verified ...
30.

Hey guys is there a medical aspirant. or preparation for neet... I wanna some suggestions.

Answer»

Yeahh I'm PREPARING for NEET UHH can ASK with me

31.

find three consecutive even numbers such that the sum of the first and the last number exceeds the second number by 10

Answer» ↑ Here is your ANSWER ↓
_____________________________________________________________
_____________________________________________________________

These EVEN numbers are in A.P,

They are (a - d), (a), (a + d)

(a - d) + (a+d) = a+ 10

a - d + a + d = a + 10

'd' get CANCELLED,

2a = a + 10

a = 10

For CONSECUTIVE even numbers, 'd' = 2

So, the numbers are:

a-d = 10-2 = 8

a = 10

a + d = 10+2 = 12
32.

Find the smallest number by which 2560 must be multiplied so thatthe product is a perfect cube.

Answer»

2 L 2560
2 l 1280
2 l 640
2 l 320
2 l 160
2 l 80
2 l 40
2 l 20
2 l 10
5 l 5
l 1

5 is only SINGLE
so, we MULTIPLY by 25
then, it is a perfect cube.

33.

The sides of a right angle triangle containing right angle are 5x and (3x-1). if its area is 60 cm^2 find its perimeter.

Answer» HEY!! FRIEND here is your ANSWER......
34.

prove that if x and y are odd positive integers, then x square +y square is even but not divisible by 4

Answer»

Answer:-

Thinking Process:-

Here, we have to take any two consicutive or positive integer.

After that squaring and adding both the number and CHECK it is a even but not divisible by 4.

Solution:-

Let x = 2m + 1

Let y = 2m + 3

Here, both are positive integer, for  every positive integer m.

⇒ x² + y² = (2m  +1)² + (2m + 3)²

⇒ x² + y² = 4m² + 1 + 4m + 4m² + 9 + 12m      [∵ (a + B)² = a² + 2AB + b²]    

               

⇒ x² + y² = 8m² + 16m² + 10 = even

⇒ x² + y² = 2(4m² + 8m + 5) or (2m² + 4m + 2)

Hence, x² + y² is even for every positive integer m but not divisible by 4.

35.

Prove that 1/2+root 3 is an irrational number..

Answer»

To prove this FIRST we have to prove that ROOT 3 is IRRATIONAL number .
From above we PROVED that root 3 is irrational
so 1/2+root 3 is also irrational

36.

Find the sum of the series 7+77+777 n term

Answer» GO through the FOLLOWING ATTACHMENT
37.

A car travels a distance of 200 Km from Delhi to Ambala towards north in 5 hours . calculate(i) speed , and (ii) velocity, of the car for it's journey.

Answer»

Speed=distance/time=200/5=40km/hr
velocity is 40km/hr NORTH

38.

abcd is a rhombus and p q r s are the midpoints of the sides ab,bc,cd and ad. show that the quadrilateral pqrs is a rhombus.

Answer» HOPE THIS HELPS YOU....
39.

If 10^2y=25 ,then 10^-y equals

Answer»

Hey,

(10)^2Y=(5)^2

=>10^y=5

=>(10)^-y=1/(10)^y

=1/5=5^-1.

Hope it HELPS

40.

Factorise 7 + 10( 2x - 3y)-8(2x-3y)whole square

Answer» FACTORISE : 12 (2x-3y)^2 - 16 (3y-2x) - 1139460. ... 12(2x-3y)^2-16(3y-2x) =12(3y-2x)^2-16(3y-2x) =4(3y-2x)[3(3y-2x)-4] =4(3y-2x)(9y-6x-4 ...
Missing: whole
Rating
41.

Define co prime no.

Answer»

Coprime no. is. a no. which DONOT have any COMMON factor other that 1 n no. itself

42.

Write the formula of the sector and explain the each letter

Answer»

Hi
X/360*πr^2 is the formula of SECTOR.
here, x is the angle formed by the ARC of the sector at center.
r is RADIUS

43.

A=6,d=3 then,find s10

Answer»

S10= n/2{2a+{n-1}d}
PUT all VALUES:-
 10/2{2×6+{10-1}3}
5{12+9×3}
5{12+27}
5{39}
=195 ans.

44.

A shirt can be stitched using 2 1÷4 meter if clothes. How many clothes is required for stitching 9 shirts?

Answer» <klux>2</klux> \ \frac{1}{4} mts \: of \: <klux>CLOTH</klux> \: is \: required \: to \: stitch \: a  \: shirt\:
THEREFORE
for 9 shirts the cloth required= 9(2 1/4)
=9(9/4)
=81/4
= 20 \frac{1}{4} mts
45.

If t if the non parallel sides of a Trapezium are equal prove that it is a cyclic

Answer»

Hey MATE !!

Here's your answer !!

REFER to the ATTACHMENT !!

HOPE this helps !!

Cheers !!

46.

Give an example of the difference of two rational numbers

Answer»

1,2,3,4,5
√4,√9,

are some EX

47.

a dealer gave a 9 percent discount on an electric fan and charges ruppees 728 from the customer find the marked price of the fan pls ansmwer its urgent

Answer»

MP=800/-.Hope this HELPS you!!!

48.

She said to Rekha" do you play tennis"direct to indirect irrelevant or incorrect answers will be reported immidiately

Answer»

She asked Rekha if she PLAYED tennis
I HOPE this and will HELP u
plz mark brainliest.....

49.

If a+1/a=6.Find a-1/a

Answer» HII FRIEND,

a+1/a = 6

a+1 =6a

6a-a = 1

5a = 1

a= 1/5

THEREFORE,

a-1/a = 1/5-1/1/5 = -4

HOPE IT WILL HELP YOU..... :-)
50.

If the hcf of 210 and 55 is expressible in the form 201*5+55y then find y

Answer»

The HCF of 210 and 55 is 5
so,
            5 = 210*5 + 55Y
     -1045 = 55y
             y = -1045 / 55
             y = -19