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.

Write the firsr four triangular numbers.

Answer»

The ANSWER is 1,3,6,10,15,21

2.

A girl calculates the probability of her winning the game in a match is 0.08.what is the probability of her loosing

Answer»

TOTAL PROBABILITY of ANYTHING is ALWAYS 1,
So, E'=1-0.08
=0.92

3.

X+1/x=2 find x^9941/x^99

Answer» HOPE it MAY be RIGHT
4.

Factorise the given polynomials:

Answer» X^3 + x^2 - 4X^2 - 4x - 5X - 5

= x^2 ( x + 1) - 4x(x +1) - 5(x +1)

= (x +1)(x^2 - 4x - 5)

= (x +1)[ x^2 - 5x + x - 5]

= (x +1)[ x (x - 5) + 1(x-5)]

= (x +1)(x - 5)(x+1)
5.

24 a cube +37a square -5a

Answer»

Нεяε ιs үσυя αηsωεя

24a(3)+37a(2)-5A


24a(3)-3a(2)+40a(2)-5a
3a(2) (8a-1). + 5a(8a-1)
(8a-1). (3a+5a)

6.

1 by 3 X square + 2 x minus 9

Answer»

X=3 and x=-9 HOPE it HELPS you

7.

(2-5i)+(1+7i) In the form of a + ib

Answer»

2-5i+1+7i=3+2i
so, a+bi=3+2i

8.

anjana buys a purse 523.80 including 8% VAT. find the new selling price of the percent increases to 10%

Answer» ANJANA buys a purse 523.80 including 8% VAT.

so, 100%x + 8%x = 523.80
108%x = 523.80
108x/100 = 523.80
x = 52380/108
x = 485

the new selling price of the PERCENT increases to 10%
so, new selling price = 485 + 10% of 485 = 485 + 48.5 = 533.5
9.

Find the prime factorization of number 5005

Answer»

5 | 5005

7 | 1001

11 | 143

13 | 13


=> 5005 = 5 × 7 × 11 × 13

10.

Please answer no.1- i) and ii)

Answer»

-2/3×3/5+5/2-3/5×1/6
-2/5+5/2-1/10
-4/10 + 25/10 - 1/10
-4+25-1/10
20/10
2

PLEASE MARK as BRAINLIEST

11.

Factorise : p^3q^3+343/729

Answer»

Step  1  :

343 SIMPLIFY ——— 729

Equation at the end of step  1  :

343 ((p3) • (q3)) + ——— 729

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole 

Rewrite the whole as a fraction using  729  as the DENOMINATOR :

p3q3 p3q3 • 729 p3q3 = ———— = —————————— 1 729

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole 

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the NUMERATORS together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

p3q3 • 729 + 343 729p3q3 + 343 ———————————————— = ————————————— 729 729

Trying to factor as a Sum of Cubes :

 2.3      Factoring:  729p3q3 + 343 

Theory : A sum of two perfect cubes,  a3 + b3can be factored into  :
             (a+b) • (a2-ab+b2)
Proof  : (a+b) • (a2-ab+b2) = 
    a3-a2b+ab2+ba2-b2a+b3 =
    a3+(a2b-ba2)+(ab2-b2a)+b3=
    a3+0+0+b3=
    a3+b3

Check :  729  is the cube of  9 

Check :  343  is the cube of   7 
Check :  p3 is the cube of   p1

Check :  q3 is the cube of   q1

Factorization is :
             (9pq + 7)  •  (81p2q2 - 63pq + 49

Trying to factor a MULTI variable polynomial :

 2.4    Factoring    81p2q2 - 63pq + 49 

Try to factor this multi-variable trinomial using trial and error 

 Factorization fails

Final result :

(9pq + 7) • (81p2q2 - 63pq + 49) ———————————————————————————————— 729

12.

572 divide 4formula

Answer» = \frac{572}{4} \\ \\ = \frac{143 \times 4}{4} \\ \\ = 143 \\ \\ OR \\ \\ 572 = 4×143+0
13.

X square -3ax-88a square

Answer»

This should be your ANSWER.

14.

Hello,if the polynomial X2+ax2+5 and x2-2x2+a are divided by (x+2) leave the same remainder, find the value of a

Answer»

Heya!!☻

Here's your answer!!!
____________________________

Let the GIVEN polynomial be f(x) = x²+ax²+5

g(x) = x²-2x²+a

Given that when f(x) and y(x) are DIVIDED by the (x+2) we get the same remainder.

That is f(2) = g(2)

PUT x=2 in both f(x) and g(x)

(2)²+a(2)²+5 = (2)²-2(2)²+a

4+ 4a+5 = -4-8+a
9+4a = 13+a
3a = -13
so, a = 13/3
______________________________
GLAD HELPS YOU,
it helps you,
thank you ☻
@vaibhavhoax

15.

If 〖(x+y)〗^(-1)×(x^(-1)+y^(-1) )=x^p y^q,prove that p+q+2=0

Answer»

HEY BUDDY !!!!

HERE IS UR ANSWER!!!!


________________________

Q:- ( x + y )^-1 × [ ( x )^-1 + ( y )^-1 ] =x^p × y^q

=》 1 ÷ ( x + y ) [ ( 1 ÷ x ) + ( 1 ÷ y ) ] =x^p × y^q

=》1 ÷ ( x + y ) [ ( x + y ) ÷ x y ] = x^p × y^q

=》1 ÷ x × y = x^p × y^q

=》( x × y )^-1 = x^p × y^q

=》 x^-1 × y^-1 = x^p × y^q

♤ On comparison

=》 p = -1 ; q = -1

♡ We have to prove { p + q + 2 = 0}

PUTTING valu of p and q

=》 - 1 - 1 + 2

=》- 2 + 2

=》0


■ HENCE PROVED



HOPE HELPED



JAI HIND !!!

:-)





16.

Solve the maths questions

Answer»

31^2=961
29^2=841
7^2=49
149^2=22,201

but 1 COME in a,B and d
c is wrong

please MARK it as brainlist

17.

Find the number of solutions of the pair of linear equations x+2y-8=0

Answer»

A LINEAR equation has infinite SOLUTIONS .
You can put x = 0-infinity
You will get infinite answers
And u can also put y = 0-infinity
Then also u will get infinite solutions

But if u want to draw a graph of it,then put any THREE values

18.

5d+7/2=3/2d-14 and name the method (LCM or crossmultiplication) that is used to simplify them

Answer»

-5 is ANSWER of this QUESTION

19.

Please tell me this question U just have 2 draw a spider man

Answer»

I can give you an IDEA - you can DRAW its COSTUME by making TRIANGULAR and hexagonal designs

20.

In a right angled triangle one of the acute angle is twice the othe. prove that hypotenause is double the shorter side

Answer»

in right angled∆
one angle is 90°
let acute angle=x
SECOND acute angle=2x
sum of all ANGLES of right angled ∆ is 180°
so , 90°+x°+2x°=180°
3x=90
x=30
so, second acute angle is 60°
so , 30°-60°-90° triangle theorem
side opposite to30°
(side opposite to30° ) =hypotenuse ×1/2
so, hypotenuse = 2×(side opposite to30° )
HOPE it is useful for you
please give me a BRAINLIST

21.

Extend the lines in each pair of identify the relationship between them

Answer»

The ANGLES in same are EQUAL

22.

Find the prime factorization of the number 3825

Answer» 3 | 3825

3 | 1275

5 | 425

5 | 85

17 | 17


=> 3825 = 3 × 3 × 5 × 5 × 17
23.

A

Answer»

Hiii!!!

here's ur ANSWER...

>> ( a + b + C )² = a² + b² + c² + 2ab + 2BC + 2ac

for example :-

( 2 + 4 + 6 )²

here a = 2, b = 4 and c = 6

>> (2)² + (4)² + (6)² + 2 (2) (4) + 2 (4) (6) + 2 (2) (6)

= 4 + 16 + 36 + 16 + 48 + 24

= 144

hope this helps..!!

24.

10x + 3y = 756x - 5y = 11( Substitution method )

Answer» HOPE this HELPS...!!!
25.

a man sold two chair for 500 each. on one he ganis 20% and another he loses 12%. find his bet gain or loss percent

Answer»

500÷120×(100) = 600 on 1 St chair means PROFIT of 20%

500÷88×(100)=440 on 2 nd chair means loss of 12%

(1000÷(600+440))×100
1000÷1040×100
104%


104-100

gain of 4%

26.

Find perimeter of a rectangle of length is 5 2 by 3 and breadth is 7 5 by 2m.

Answer»

2(l+b)
2(52/3+75/2)
2(104+105/2)=2(209/2)
=209
Hope this MAKES U UNDERSTAND

27.

Which is the biggest river?

Answer» HII...
Here is your answer..

=>The biggest river in the world is ,"NILE River".

Hope it HELPS UH...✌️✌️✌️
28.

A set of points lying on the same line are called colinear points (true or false )

Answer»

TRUE because in a LINE POINTS LIE ONE same line

29.

Find the volume of a sphere whose surface area is 154cm^2

Answer»

Surface area of sphere = 4 pi r^2

=> 154 = 4 × 22 × r^2 / 7

=> r^2 = 154 × 7 / 22 × 4

=> r^2 = 7 × 7 / 4

=> r = 7/2

Volume = 4/3 pi r^3

= 4 × 22 × 7 × 7 × 7 / 3 × 7 × 2 × 2 × 2

= 11 × 7 × 7 / 3

= 179.67 cm^3

30.

2x + 3y = 03x + 4y = 5( By substitution method )

Answer» 2x + 3y = 0 ............. \: eq.1\\ 3x + 4y = 5............. \: eq.2
Taking the LCM of 2 and 3 to eliminate x :-

3(2x + 3y = 0)
2(3x +4y = 5)

Or

6x + 9y = 0.......... eq.3
-2(3x+4y =5).... eq.4

Subtracting 4th eq from the 3RD gives :-

y = - 10

Now substituting y in the 1st eq :-

2x + 3(-10) = 0
2x - 30 = 0
x = 30/2
Or x = 15

Therefore, the values of x and y are 15 and - 10 respectively.

P. S. - I just realized it has to be DONE using substitution. Apologies! (You've GOT both the methods, you lucky PAL!)
31.

The LCM of 10,17,26 .

Answer»

The ANSWER is 2×5×17×13 =2210

32.

Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.

Answer»

AB and CD are straight LINES intersecting at O. OX the bisector of ANGLES AOC and OY is the OY is the bisector of BOD.OY is the bisector of BOD.∴ 1 = 6 (1)OX is the bisector of AOC.∴ 3 = 4 (2)2 = 5 (3) (Vertically opposite angles)We KNOW that, the sum of the angles formed at a point is 360ï½.∴ 1 + 2 + 3 + 4 + 5 + 6 = 360ï½⇒ 1 + 2 + 3 + 3 + 2 + 1 = 360ï½ (Using (1), (2) and (3))⇒ 21 + 22 + 23 = 360ï½⇒ 2(1 + 2 + 3) = 360ï½⇒ DOY + AOD + AOX = 180ï½⇒ XOY = 180ï½∴ The bisectors of pair of vertically opposite angles are on the same straight line.HOPE IT HELPS..!

33.

Find the prime factorization of the number 140

Answer» 2 | 140

2 | 70

5 | 35

7 | 7


=> 140 = 2 × 2 × 5 × 7
34.

the perimeter of rectangle is 40 m it is length is 4m is less than 5 times is breadth find the area of the rectangle

Answer» PERIMETER of RECTANGLE = 40m
formula= 2(l+B)
l= 4-5b
b=b
=2(4-5b + b)
=2(4-4b)
=8-8b= 40m
=8b = 40-8
=8b. = 32
=b. =32/8
b= 4

now,
l=5 x 4= 20-4 =16
b= 4
area = lb
= 16x4
=64
35.

Find the value of point (-1,3)lies on the graph of the equation 2x-y+k=0

Answer» PUT X = -1
And y = 3

2(-1)-3+K = 0

-2-3 +k = 0

K=5.
36.

a man left 1/9 pf his property to his daughter and the remaining to his sons to be equally divided among them, if the share of each son is double of that of the daughter, find the number of son

Answer»

The NUMBER of SONS is 4

37.

A man on the deck of the ship is 10 meter above water level he observes that the angle of elevation of the top of hill is 60° and the angle of depression of the base is 30° then find the distance of the hill from the ship and height of the hill

Answer»

Distance=10√ 3 , HEIGHT= 40 METRE will be the ANSWER

38.

in fig. Abcd is a parallelogram and ao and bo are bisectors of angle a and angle B prove that angle aob equals to 90 degrees

Answer»

These is the ANSWER of that QUESTION

39.

Method of estimation

Answer»

Estimation theory is a branch of statistics that DEALS with estimating the values ofparameters based on measured empirical data that has a random component. The parameters describe an underlying physical SETTING in such a way that their VALUE affects the distribution of the measured data. Anestimator attempts to approximate the UNKNOWN parameters using the MEASUREMENTS. When the data consist of multiple variables and one is estimating therelationship between them, estimation is known as regression analysis.

40.

Find the multiplicative inverse of the following

Answer»

-11/4×-6/22 is ANSWER

41.

Find the value of y in => 4y - 18 = 2

Answer» HELLO dear,

4y - 18 = 2

=> 4y = 2 + 18

=> 4y = 20

=> y = 20/4

=> y = 5

therefore the VALUE of y = 5

Hope it HELPS.
42.

Find the cube root of the following through estimation method and check your answer? Or 64

Answer»

The CUBE ROOT of 64 is 4.

43.

Verify a(b x c) =(a x b) x c = 5

Answer»

On SOLVING FIRST PART, we get
abc =abc=5
it MEANS abc=5 .
VERIFIED !!!

44.

It is very dufficult question

Answer»

I HOPE it will HELP you

45.

3x +2 = 5x+2 find the value of x

Answer»

Hello dear,

3X + 2 = 5x + 2

=> 3x - 5x = 2-2

=> -2X = 0

=> x = 0/-2

=> x = 0

Hope it HELPS.

46.

[x+5]²=[x+6]+5, where[.] denotes the greatest integer function

Answer»
{x}^{2}  + 25 + 10x = x + 11
{x}^{2}  + 9x + 14 = 0
by splitting the middle term.
{x}^{2}  + 2x + 7x + 14 = 0
x(x + 2) + 7(x + 2)
(x + 2)(x + 7) = 0
x=either -7or -2


don't forget to thank me also.

PLEASE mark it as brainlist if you LIKE.
47.

If d is HCF of 88 and 56, then find x and y satisfying d=88x+56y

Answer» HCF of 88 and 56 =d

soln is in pic
please MARK it as BRAINLIST .

don't forget to THANK me also.

it's best answer and CORRECT also.
I'm sure please mark it as brainlist.
48.

Evaluate the following 36% of 480g

Answer»
213843 {21222}^{2}
49.

X=2+root3, find the value of root x plus one upon root x

Answer»

I HOPE this is the ANSWER . if not PLEASE FORGIVE.

50.

Need help. which scale is used in this double bar graph

Answer»

The SCALE should be of 3000 DIVIDED by 10