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.

Areas of some circles are given below find their diameters.(1) 176 sq cm (2) 394.24 sq cm (3) 12474 sq cm

Answer» \textbf{area of circle}= \pi \frac{diameter^2}{<klux>4</klux>}

(1) area of circle = π(diameter)²/4
176 = 22/7 (diameter)²/4
176 × 7 × 4/22 = diameter ²
8 × 7 × 4 = diameter²
diameter = \sqrt{8\times7\times4}
diameter = 4√14 cm

(2) area of circle = 394.24 cm²
so, area of circle = π(diameter)²/4
394.24 = 22/7 × (diameter)²/4
394.24 × 7 × 4/22 = (diameter)²
501.76 = (diameter)²
TAKING square root both SIDES ,
diameter = 22.4 cm

(3) area of circle = 12474 cm²
so, area of circle = π(diameter)²/4
12474 = 22/7 × (diameter)²/4
12474 × 7 × 4/22 = diameter²
15876 = diameter ²
taking square root both sides,
diameter = 126 cm
2.

A rectangular lawn 15m× 20m,has a road of grass out side it.If the width of the road is 1 metre,findthe area of the road

Answer»

Heya USER
here's your ANSWER
length= 15+2=17m
breadth is 20+2=22m
AREA of ROAD = l*b
17*22=374m²

3.

0.43 bar on 43 into p/q

Answer» HOPE it HELPS!!!! ⚡⭐
4.

6a square-a-15 pls solve frnds

Answer» HEYA here's your ANSWER
6a²-a-15
6a²-10a+9a-15
2a(3a-5)+3(3a-5)
(2a+3) (3a-5) ( answer)
HOPE it HELPS ⭐⚡
5.

Write numbers having the tens place digits given

Answer»

245
12345
355567
21
9780
1467867
hope it HELPS

6.

Three angles of a quadrilateral measure 55,125 and 70 find the fourth angle

Answer»

SUM of all the INTERIOR ANGLES of a QUADRILATERAL is 360

360 - (55+125+70) = 110


7.

How to find the square root of 72.72 upto 2 and 3 decimal places

Answer»

Your CORRECT
AWNSER is8.527

8.

Find the value of root 8 upto 3 decimals

Answer»

HERE'S YOUR ANSWER....✌️✌️

√8
=2√2

so, the VALUE upto three DECIMAL PLACES is
=2.828 .

9.

Find age of daughatwr

Answer»

Here's your ANSWER ⭐⭐⚡

10.

The product of the HCF and the LCM of two numbers is 1152. If one number is 48 find the other one

Answer» U have to the use the formula
product of 2 NOS = HCF*LCM
48*x(another NUMBER)=1152
another number =1152/48=24
hope it helps ⭐
11.

Find the cube root of the following numbers by Prime factorisation 74088

Answer»

Here's your ANSWER......

12.

(x+a)(x+b)(x+a)(x-b)(x-a)(x+b)(x-a)(x-b)(a+b)^2(a-b)^2(a+b)(a-b)(a+b)^3(a-b)^3

Answer» \huge{HEY!!}
________________________________

⚫In this question we have to GIVE the expanded FORM of the FOLLOWING identities:-

⭕(x + a) (x + b) = x² + x(a + b) + ab

⭕(x + a) (x - b) = x² + x(a - b) - ab

⭕(x - a) (x + b) = x² + x(b - a) - ab​

⭕(x - a) (x - b) = x² - x(a + b) + ab​

⭕(a + b)² = a² + 2ab + b²

⭕(a - b)² = a² - 2ab + b²

⭕(a + b) (a - b) = a² - b²

⭕(a + b)³ = a³ + b³ + 3AB (a + b)

⭕(a - b)³ = a³ - b³ - 3ab (a - b)
13.

the 17th term of an ap is 5 more than twice of its 8th term and the 11th term of the ap is 43 then the nth termis

Answer»

T11 = 43

=> a + 10d = 43 -------(1)

T17 = 2× T8 + 5

=> a + 16d = 2 (a + 7d) + 5

=> a + 16d = 2a + 14D + 5

=> - a + 2d = 5

=> 2d - a = 5 -------(2)

On adding equation 1 and 2, we get

12d = 48

=> d = 4

Now,

On SUBSTITUTING the value d in equation 2, we get

2 (4) - a = 5

=> 8 - a = 5

=> a = 3

Tn = a + (n-1)d

= 3 + ( n-1)(4)

= 3 + 4N - 4

= 4n - 1

14.

If the sides of a triangle are 17 cm, 25 cm and 26 cm, find the area of the triangle.

Answer»
s \:  =  \:  \frac{68}{2}  = 34 \\ ar. \: of \: tri.\: = \:  \sqrt {34(17 - 25)(25 - 26)(26 - 17)}  \\   \:  \:  \:  =  \:  \sqrt{34 \times  - 8 \times  - 1 \times 9}  \\  \:  \:  \:  =  \sqrt{34 \times 72}  \\  \:  \:  \:  =  \:  \:  \sqrt{17 \times 2 \times2 \times 2 \times 2 \times 3 \times 3 }  \\  \:  \:  \:  =  2 \times 2 \times 3 \sqrt{17}  \\  \:  \:  \:  = 12 \sqrt{17 \: } cm ^{2}
15.

the angle of elevation of a jet plane from a point A on the ground is 60 degrees after a flight of 30 seconds,the angle of elevation changes to 30 degrees.if the jet plane is flying at a constant height of 3600 root 3 meter find the speed of a jet plane. PLEASE VERY URGENT

Answer» 240 m/s will be the ANSWER
16.

if the sum of a certain number of terms starting from first , of an ap 25,22,19....,is 116. find the last term

Answer»

AnswEr:

LET the SUM of n TERMS of A.P . 25, 22, 19 , ... be 116.

Then,

\\  \qquad \tt116 =  \frac{n}{2}  \: [2 \times 25 + (n - 1) \times ( - 3)] \\  \\  \\  \implies \tt \: 232 = n \: ( - 3n + 53) \\  \\  \\   \implies \tt3 {n}^{2}  - 53n + 232 = 0 \\  \\  \\  \implies \tt \: 3 {n}^{2}  - 24n - 29n + 232 = 0 \\  \\  \\  \implies \tt \: (n - 8)(3n - 29) = 0 \\  \\  \\  \implies \tt \blue {n = 8} \\  \\  \\  \therefore \:  \:  \rm \: a_g = 25 + 7 \times ( - 3) = 4

17.

Divide 54 into two parts such that one part is 2/7 of the others

Answer» LET PARTS are X and 2x/7




Their SUM = 54

x +  \frac{2x}{7}  = 54 \\  \\  =>  \frac{7x + 2x}{7}  = 54 \\  \\  =>  \frac{9x}{7}  = 54 \\  \\   => x =  \frac{54  \times 7}{9}  \\  \\ =>  x = 6 \times 7 \\  \\  => x = 42




Hence, NUMBERS are

x = 42 \\  \\  \frac{2x}{7}  =  \frac{2 \times 42}{7}  =  \frac{2 \times 6}{1}  = 12
18.

The nth term of ana.p 51, 59, 67, 75__________ is

Answer»

HOPE this HELPS.......

19.

If 7 pencils would cost you rs.6 more than 5 pencils, then find the cost of 10 pencils

Answer»

LET X be the COST of the PENCIL ✏️.
7x=6+5x
12x=6
x=2

20.

What percentage is 25 paise of rupees 4?

Answer»

25 PAISE =2500 Rupees
A/Q
=2500/4 X 100
=625 X 100
=62500
ANSWER is 62500%

21.

a population consists of five numbers 2 3 6 8 11. consider all possible samples of size two which can be drawn without replacement from the population. find a) the mean of the population b) standard deviation of the population c) the mean of the sampling distribution of means d) the standard deviation of the sampling distribution of means

Answer»

Acc to the question, the population CONSISTS of five numbers 2 3 6 8 11.

Therefore,

Mean(µ) = \frac{ 2 + 3 + 6 + 8 + 11}{5} = 6.0

Standard deviation(σ) = \frac{(2-6)+(3-6)+(6-6)+(8-6)+(11-6)}{5} = 10.8

Mean of the sampling distribution = (sum of all samples)/25 = 150/25 = 6.0 [FORM a MATRIX of elements from the set of numnbers given and finally calculate its sum]

Standard deviation of the sampling distribution = subtract the mean 6

from each number, square the result, add all 25 numbers obtained, and divide by 25. = 135/25 = 5.4

22.

Find the difference between simple interest and compound interest on ₹ 20000 at 8 p.c.p.a.

Answer» SIMPLE INTREST is based on PRINCIPLE amount of a loan or diposite.
compound interest is based on the amount and the intrest that accumulates on it in EVERY PERIOD.
23.

Integrate cos4x.cosx.dx

Answer»

Hello! ! !

Hey my dear friend here is your ANSWER ___________

I have GIVEN your answer in above pic.

check it out....

_________________

HOPE THIS ANSWER WILL HELP U....

@Neha

24.

Is the sum of two irrational numbers always irrational? justify your answer.

Answer»

No, sum of two IRRATIONALS need but be IRRATIONAL always.
example: √2 and -√2 are irrationals
their sum: √2+(-√2)=√2-√2=0
zero is RATIONAL number.
hence, justified.


hope it helps.
pls MARK BRAINLIEST

25.

Find the value:if a+1/a=7,find a³+1/a³.

Answer»

A+1/a=7
(a2+1)/a=7
a2-7a+1=0
find the VALUE of a by SOLVING above eqn.then SUBSTITUTE value of a in a3+1/a3

26.

If the diagonals of a rhombus are 9 cm and 12 cm find its sides

Answer»

Answer:

\large{\underline{\boxed{\sf Each \: side = 7.5 \: cm}}}

Step-by-step explanation:

GIVEN that ;

Diagonals of a rhombus are 9 cm and 12 cm.

LET AC = 9 cm and BD = 12 cm

We KNOW that,

The diagonals of a rhombus bisect each other at right angles, i.e., 90°

Therefore,

AO = OC = 4.5 cm

BO = OD = 6 cm

Now, In ΔBOC,

BO = 8 cm

OC = 6 cm

∠BOC = 90°

Using Pythagoras theorem,

BC² = BO² + OC²

⇒ BC² = (4.5)² + 6²

⇒ BC² = 20.25 + 36

⇒ BC² = 56.25

⇒ BC = √56.25

⇒ BC = 7.5 cm

Also, we know that each side of rhombus is equal.

Hence, the length of each side of rhombus is 7.5 cm.

27.

1-64a³-12a+48a², Factorise it.

Answer»

REARRANGING. =64a^3+48a^2-12a. DIVIDING EQUATION by 4A,. =16a^2+12a-3 =( 16a^2+12a) -3. =4a(4a+3)-3.

28.

A body rolled on a surface with a speed of 10ms-1 comes to rest after covering a distance of 50m. Find the coefficient of friction. g=10ms-2

Answer»

Answer: The coefficient of FRICTION would be 0.1. It is a dimensionless quantity.


Step-by-step EXPLANATION:

Given that

s=50 m

u=10 m/s

Now, using the third equation of MOTION, we get:

v^2-u^2=2as

Now, putting the values, we get:

0^2-10^2=2*a*50

-100=100a

a= -1

The negative sign of a SHOWS it is retardation.

Now,

F=ma

F=m*1=m

So, the frictional force is m kgms^(-2)

We know,

the formula of force of friction, F= kmg

where k=coefficient of friction, m= mass, and g= ACCELERATION due to gravity.

Now,

F=kmg

Putting the calculated value of F, we get:

m=km*10

k=0.1

29.

A=-7,d=1/2 write an A.P. whose first term is a and common difference is d

Answer»

A1=-7
a2=a+d.
=-7+1/2
=-14+1/2

@2=-13/2

@3=a+2d
......=(-7)+2(1/2)
-=-7+1
=-8



hence AP.... - 7,-13/2,-8.......

30.

If p/q=(2/3)^2*(1/3)^-4 find the value of (p/q) ^-2

Answer»

The VALUE of (p/q)^-2 = (1/6)^4

31.

Calculate mode when mean is 45 and median is 42.

Answer»

Here is your ANSWER :-

MODE = 3 Median - 2 Mean

Mode = 3×42-2×45 = 126-90 = 36

32.

Which equations have the same value as x as 5/6x+2/3=-9? Check all that apply.

Answer»

Answer:

GIVEN EQUATION:

\frac{5}{6x}+\frac{2}{3}=-9

We have to FIND WHOSE solution is ALSO same as given equation.

Consider,

\frac{5}{6x}+\frac{2}{3}=-9

\frac{5\times3+2\times6x}{3\times6x}=-9

\frac{15+12x}{18x}=-9

15+12x=-9\times18x

15+12x=-162x

15+12x+162x=0

174x+15=0

Solution is , x=\frac{-15}{174}=\frac{-5}{58}

33.

Integrate the following:-

Answer»

GIVEN:

(1) ∫ (1+x)² / x(1+x²) dx

(2) ∫ (x^4+x^2+x) / 2(1+x²) dx

To find:

INTEGRATE the following.

Solution:

From given, we have,

(1) ∫ (1+x)² / x(1+x²) dx

taking the partial fraction, we get,

= ∫ 1/x + 2/(x²+1) dx

= ∫ 1/x dx + ∫ 2/(x²+1) dx

= log x + 2TAN^{-1}x + C

(2) ∫ (x^4+x^2+x) / 2(1+x²) dx

= 1/2 ∫ (x^4+x^2+x) / (1+x²) dx

using long division method, we get,

= 1/2 ∫ x² + 1/(1+x²) dx

= 1/2 [∫ x² dx + ∫ 1/(1+x²) dx]

= 1/2 [x³/3 + tan^{-1}x] + c

34.

the age difference between eldest andyoungest is equal to the youngest find the age of all if the youngest is 36 year old and the ratio of eldest and younger is 9ratio5

Answer»

Dear friend,
Here's your answer...
Let the age of eldest be x.
Age of youngest = 36 yrs
Age of eldest = ?
Ratio of ages = 9 : 5
So, 36 / x = 9 / 5
180 = 9x
180 / 9 = x
20 = x
Therefore, the age of youngest is x = 20 years.
Hope it HELPS you!!
Please mark my answer as BRAINLIEST !

35.

The areas of two similar triangles are 12 and 48. if the height of smaller one is 2.1 then find corresponding height of bigger triangle

Answer»

"GIVEN,

Area of two similar triangles = 12 cm², 48 cm².

Area of bigger triangle = 48 cm²

Area of smaller triangle = 12 cm²

We know that, Ratio of the areas of two similar is equal to square of the ratio of corresponding heights or ALTITUDES.

Given, HEIGHT of smaller triangle =2.1 CM.

Area (Bigger Triangle)/Area (Smaller Triangle) = (Height of bigger triangle) ^2/ (Height of smaller triangle) ^2

48/12 = (Height of bigger triangle) ^2/2.1²

4 = (Height of the triangle) ² / 4.41

√ (4 * 4.41) = Height of the bigger triangle

Height of the bigger triangle = 2 * 2.1 = 4.2 cm.

"

36.

Find the number which when increased by 12% becomes 728

Answer»

LET the NUMBER be x
X+12%ofx=728
X+12/100×x=728
X+12x/100=728
100x/100+12x/100=728
112x/100=728
112x=728×100
112x=72800
x=72800/112
x=650
PLEASE MARK ME BRAINLIEST

37.

the height of a right circular cylinder is 5 cm and the area of its base is 36π cm^2. find the curved surface area of tge cylinder

Answer»

\sf{\large{GIVEN:-}}

HEIGHT (H) = 5cm
area of its base (πr²) = 36π cm²
Where, r is the radius of it's base.

πr² = 36π

r² = 36

r = 6CM

Now,we have r = 6cm ,h = 5cm.

and C.s.a of cylinder = 2πrh

2πrh = 2 * π * 6 * 5

= 60π cm²

Hence, the curved surface area of the cylinder = 60π cm²

38.

588 find the perfect cube

Answer» HEY here is UR ANSWER...!!

588 = 8. 37771872824

HOPE IT HELPS....
39.

Prove that2Cos45°Cos15°=√3+1/2

Answer»

That can be WRITTEN as COS(a+b)+cos(a-b)..........ie...cos(60)+cos(30)........1/2+root 3/2.....so final ANSWER 1+root3 by 2

40.

The product of two numbers is 48 and their sum is 16.Find the numbers

Answer»

LET the two numbers be x and y


Given that, x + y = 16 and xy = 48


xy = 48, => x = 48 / y


Substituting x = 48 / y in the equation x + y = 16, we GET,


48 / y + y = 16


Taking LCM,


48 + y² / y = 16


48 + y² = 16 y


=> y² - 16y + 48 = 0


=> y² - 12 y - 4 y + 48 = 0


=> y ( y - 12 ) - 4 ( y - 12 ) = 0


=> ( y - 4 ) ( y - 12 ) = 0


=> y = 4, 12


If y = 4, then x = 48 / 4 = 12


If y = 12, then x = 48 / 12 = 4


Hence the two numbers just get INTERCHANGED in both cases. Hence the two numbers are 12 and 4.

41.

draw the diagram for a person is flying a kite at an angle of elevation alpha and the length of thread from his hand to kite is 'l'

Answer»

I HOPE it will HELP you

42.

The point (22, 23) divides the join of P (7, 5) and Q externally in the ratio 3:5, then Q=?

Answer»

I hope it can HELP you and PLEASE mark it brainleist and FOLLOW me

43.

A die has six faces numbered from 1 to 6. It is rolled and number on the top face is noted. When this is treated as a random trial.a) What are the possible outcomes ?b) Are they equally likely? Why?c) Find the probability of a composite number turning up on the top face.

Answer»

Ans:(a): Sample Space : { 1,2,3,4,5,6}
No. of POSSIBLE outcomes : 6

b) Yes, they are equally LIKELY as PROBABILITY of happening of all outcomes individually is same.

c) Composite No. : { 4,6}
=> n(E) = 2
=>n(S) = 6

THEREFORE,
Required Probability = 2/6= 1/3



44.

Which of the following expressions are polynomials in one variable and which are not ? Give reasons for your answer.(1) 3x²-2x+5 (2) x²+√2 (3) p²-3p+q(4) y+2/y(5) 5√x+x√5(6) x¹°°+y¹°°

Answer»

Answer:

3x²-2x+5

x²+√2

y+2/y

5√x+x√5

Step-by-step EXPLANATION:

below are the POLYNOMIALS in ONE variable as they have only one variable

3x²-2x+5

x²+√2

y+2/y

5√x+x√5

Below polynomials have TWO VARIABLES :

p²-3p+q   ( p & q)

x¹°°+y¹°°    (x & y)

45.

If a+b-c=5 and a²+b²+c²=29 find the value of ab-bc-ca

Answer»

Answer:

Step-by-step EXPLANATION:

Given that,

a+b-c = 5 and a^2+b^2+c^2 = 29

Using the formula

(a+b+c)^2 = a^2+b^2+c^2+2(ab+bc+ca)

=>(a+b+(-c)^2= a^2+b^2+c^2+2(ab+bc+ca)

=>(a+b-c)^2= a^2+b^2+c^2+2(ab-bc-ca)

=>5^2= 29+2(ab-bc-ca)

=>25= 29+2(ab-bc-ca)

=>ab-bc-ca= 25-29/2

=>ab-bc-ca= -4/2

=>ab-bc-ca= -2

Ans: -2

HOPE this HELPS. PLZ mark the brainliest answer.

46.

The measure of an angle is 8 times its complement. Find The angles

Answer»

LET the angle be 'm'


Thus, its COMPLEMENT will be '8m'


We know that when two angles are Complementary, then there is sum is EQUAL to 90°


So,

→ m + 8m = 90°


9M = 90°


→ m = 10° & 8m = 80°


Therefore, the angles are 10° and 80°.


Hope it helps!!

47.

Which number do we get by adding 1 to 435

Answer»

ANSWER:

we get 436 by adding 1 to 435

Step-by-step explanation:

Given : Number = 435

To FIND : which number do we get by adding 1 to 435

Solution:

LET the number be x

we are given that  which number do we get by adding 1 to 435

So, 1+435=x

436=x

So, we get 436

Hence we get 436 by adding 1 to 435

48.

a rectangular plot is 125 M long and 72 M broad find the cost of fencing it at rupees 27 per meter ...thank you

Answer»

The answer is FIVE THOUSAND THREE HUNDRED nine TEEN

49.

354/500 - Express the given rational numbers as decimals numbers.

Answer»

Given ratonal NUMBER


354/500


= ( 354 × 2 )/(500 × 2 )


= 708/1000


= 0.708 [ Decimal form ]


THEREFORE ,


Decimal form of 354/500


= 0.708


••••

50.

Find the productsi. (-2) x 3 x (-4)ii. 2 x (-5) x (-6)iii. (-8) x 3 x 5iv. 8 x 7 x (-10)v. (-3) x (-7) x (-6)vi. (-8) x (-3) x (-9)with solutions

Answer»

I. 24
ii.60
iii.-120
iv.-560
v.-126
vi-216