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 mean and variance of the first n natural numbers.​

Answer»

ANSWER:

Sum of first n NATURAL numbers = n(n+1)/2.

To find the mean, We DIVIDE the sum by the total number of entitities, which is n in our case.

So, Mean = {n(n+1)/2}/n.

So, Mean = (n+1)/2.

I hope you like it

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Step-by-step explanation:

2.

Find the volume of a cylinder whose height is 2m and whose base area is 250m2​

Answer»

Answer:

500 m³

Step-by-step EXPLANATION:

3.

Quiz: ASSESSMENT 1/IX/MATHEMATICS(FINAL)If two sides of a right angled triangle are 5cm and 12cm then the third side is​

Answer»

13 cm is THIRD SIDE.

bu using pythagoras THEOREM

4.

Pls answer it fastI need it very urgent I will mark u brainliest​

Answer»

ANSWER:

BRO I'm which CLASS U are

5.

Malachy, Sushil and Fiona share some sweets in the ratio 4:3:3. Malachy gets 8 more sweets than Fiona. How many sweets are there altogether?

Answer»

ANSWER:

idk also but TRIED my best

Step-by-step EXPLANATION:

let 4,3,3 be 4x,3x and 3x

Malachy gets 8 more sweets so 8+4x

NOW,

TOTAL sweets=4x+3x+3x

6.

Factorise x⁶+8x⁴-2x³+16x²-8x+1​

Answer»

ANSWER:

(xcube+4x-1)WHOLE SQUARE

7.

Answer this and get brainliest !!!!! pls dont answer if you dont know

Answer»

Answer:

a = 0 \: and \: b = 1

Step-by-step EXPLANATION:

LHS=\FRAC{7+3\sqrt{5}}{3+\sqrt{5}}-\frac{7-3\sqrt{5}}{3-\sqrt{5}}=\frac{(7+3\sqrt{5})(3-\sqrt{5})-(7-3\sqrt{5})(3+\sqrt{5})}{(3+\sqrt{5})(3-\sqrt{5})}=\frac{21-7\sqrt{5}+9\sqrt{5}-15-(21+7\sqrt{5}-9\sqrt{5}-15)}{3^{2}-(\sqrt{5})^{2}}

=\frac{21-7\sqrt{5}+9\sqrt{5}-15-21-7\sqrt{5}+9\sqrt{5}+15)}{9-5}

=\frac{4\sqrt{5}}{4}

=\sqrt{5}---(1)

RHS = a+\sqrt{5}b--(2)

Now\\0+\sqrt{5}=a+\sqrt{5}\\from\:(1)\:and\:(2)

a = 0 \: and \: b = 1

Therefore,

a = 0 \: and \: b = 1

8.

Is lcm always completely divisible by hcf. if so why?

Answer»

Because HCF FULLY DIVIDES the number. And the LCM is the number that is fully divisible by the number.

Hope this helps you out

9.

IF DE PARALLEL BC, CD PARALLEL EF, THEN PROVE THAT, AD^2=AB*AF​

Answer»

ANSWER:

Step-by-step EXPLANATION:

this question can be SOLVED by using thales theorm corollary or BPT corollary

in ADC,by  BPT

we get

af/ad=ae/ac .                   eq1

in ABC,by BPT

we get

ad/ab=ae/ac .                 eq2

from 1 and 2

we get

af/ad=ad/ab

by cross multiplying

ad²=af×ab    

10.

Please solve these sums..I'll mark Ur answer brainliest answer if u answer correctly..​

Answer»

Step-by-step EXPLANATION:

HOPE it's HELPFUL

if helpful MARK as BRAINLIEST

11.

In a triangle abc if a is acute and tan a=3/4.find the remaining trigonometricratios if angle a​

Answer»

ANSWER:

Step-by-step EXPLANATION:

        this a STANDARD triangle its angles are 90 , 37 , 53

           u should remember this and as per ur question a = 37 degree

               since smaller side opposite ANGLE is also small

   hope it HELPS u let me know.....................

12.

Areas of two similar triangles are 162 sq.cm and 200 sq.cm respectively. Then find the ratio of their corresponding sides.​

Answer»

Answer:

9:10...

Step-by-step EXPLANATION:

SHOWN above PLEASE OBSERVE...

13.

SinA / 1+cosA = cosecA - cosA​

Answer»

ANSWER:

sinA/1-cosA = COSECA + COTA

LHS

sinA/1-cosA

= sinA(1+cosA)/(1-cosA)(1+cosA)

= sinA(1+cosA)/(1-cos2A)

= sinA(1+cosA)/sin2A

= 1+cosA/sinA

= 1/sinA + cosA/sinA

= cosecA + cotA

= RHS

Hence, PROVED!

14.

If the volume of a conesin ratio of1:4 and their diameter are in the ratio4.15. Find the ratio of their heights​

Answer»

ANSWER:

Step-by-step explanation:

Let d and D be the diameters of the two cones. So d:D = 4:5 So 2r:2R = 4:5 Hence R:R = 4:5

If v and V be the volumes of the two cones v/V = 1/4. So 1/3 π r^2 h/1/3πR^2 H = 1:4

(r/R)^2 h/H = 1:4 IMPLIES (4/5)^2 h/H = 1:4. So h/H = 25/64

Ratio of their HEIGHTS is 25:64

15.

If the HCF of 24 and another number is 4 and their LCM is 120,the second number is ______________

Answer»

ANSWER:

Step-by-step explanation:

LET the two NUMBERS be a and b respectively

and a=24

Therefore, as we know

a×b = hcf×lcm

Implies,

24×b= 4×120

Implies that,

b= 20

16.

I found a) like that but idk if it is true or false can you help me with b) and c) and also tell me if i did wrong in a)

Answer»

ANSWER:

It is TRUE and a is CORRECT

17.

Meian of first ten prime number

Answer»

HYY DUDE

1. (n+1)/2 is the median of the numbers is S. 2.

Hope it's HELPS you ✨

18.

What is the equation of the ellipse with foci (1,1) and (-1,-1) and length the of major axisis 4.​

Answer»

ANSWER: 0

Step-by-step explanation:

Foci (−1,1) & (1,1) of ellipse.

Passes through (0,0)

Centre of ellipse =(0,1)  MIDPOINTS of the LINE between focus

value B=1

ae=1

a  

1−  

a  

2

 

b  

2

 

​  

 

​  

⇒a  

1−  

a  

2

 

1

​  

 

​  

=1⇒  

a  

2

−1

​  

=1

a=  

2

​  

 

centre is shifted to (0,1).

(  

2

​  

)  

2

 

(x−0)  

2

 

​  

+  

1

(y−1)  

2

 

​  

=1

2

x  

2

 

​  

+  

1

y  

2

+1−2y

​  

=1

x  

2

+2y  

2

+2−4y=2

x  

2

+2y  

2

−4y=0

19.

A dice is thrown once find the probability of getting a square number as a multiple of 2?

Answer»

ANSWER:

the answer I THINK is

\frac{1}{3}

20.

some toffees are bought at 6 for a ruler and the same number at 4 for are rupee if the whole lot is sold at 5 for a rupee find the gain or loss percent​

Answer»

Answer:

20%

Step-by-step explanation:

CP of SIX TOFFEES = Rs 1

CP of one toffee = Rs 1/6   ----- (1)

SP of 5 toffees = Rs 1

SP of 1 toffee = Rs 1/5          ---- (2)

Comparing (1) and (2)

TAKING LCM = 30

1/6 and 1/5 become 5 and 6  in the numerator

Since CP (5) less than SP (6), we conclude that the transaction is PROFIT.

Actual profit = 6-5 = 1

Profit percentage = profit X 100/CP

= 1 X 100/5 = 20%        

Ans: 20%

21.

AndEquation of circle passing through (1.13(1.-53. - V3 ) is1) (x-2)2) 18 2) ==3) (x-2)* + = 2 4) +- (1 – 2) = 4+ 14.​

Answer»

PLEASE MARKET BRAINLIEST and ANSWER is ZERO

22.

•in question (iii) the remainder is 1...tell me am I solved these questions right or not?? if not.. then solved it with step by step explanation... which one give the right answer.. I will follow him as well as mark him as BRAINLIST​

Answer»

ANSWER:

s it's CORRECT

can you WRITE NEATLY

23.

Divide 7 1/3 bread into 3 equal parts

Answer»

Answer:

71/3 into THREE parts.

Step-by-step explanation:

71/3 DIVIDED by 3

71/3*1/3

71/9....

HOPE IT HELPS.......

24.

In a lecture hall, 8,649 students are sitting in such amany students in a row as there are rows in the lectuare there in each row of the lecture hall?​

Answer»

93

We GET this by square root of 8649

Because rows and columns are equal

LET row and COLUMN be X

As total no. of trees are X*X

So, x^2 =8649

25.

Plz solve. this question​

Answer»

Answer:

Step-by-step explanation:

If x³-6x²+ax+b is exactly divisible by x²-3x+2, then it will ALSO be divisible by (x-1)(x-2)[Factors of x²-3x+2].

THEREFOR Putting X=1 in the equstion x³-6x²+ax+b-:

1-6+a+b = 0

a+b = 5 ---------EQ(i)

putting X= 2 in the EQUATION x³-6x²+ax+b-:

8-24+2a+b = 0

2a+b = 16-------------eq(ii)

On solving Eq 1 & 2

a=11

b=-6

26.

Draw 2x-5 = 0 in graph​

Answer»

ANSWER:

x=5/2 is the answer HOPE HELPS you

27.

(e) The area of an equilateral triangle is x, its perimeter is y and its height is z. Whatis the value of YZ?х​

Answer»

Step-by-step EXPLANATION:

this is your ANSWER . HOPE it HELP

28.

The combined surface area of the two bases of a cylinder with height 2 in. is given by the function f(x) = 2πx2, where x is the radius, and the function g(x) = 4πx gives the surface area of the side of the cylinder. Which combined function gives the total surface area of the cylinder?f + g g − ff − g f · g

Answer»

ANSWER:

f+gg-f

13589

Step-by-step explanation:

PLEAEE follow me i will follow you

PLEASE mark it the BRAINLIEST

29.

How many seconds are there in 2/3 of 4 hours

Answer»

Answer:

160

Step-by-step EXPLANATION:

PLS MAKE me BRANLIEST

30.

L||m and s||tfind the value of 'x' 'y' , and 'z' l||m and s||t

Answer»

ANSWER:

your QUESTION is not MAKE a SENSE

31.

How would you rewrite Euclid fifth postulate so that I would be easier to understand?

Answer»

Answer:

There are several EASY equivalent versions of Euclid's fifth postulate. Two lines are said to be PARALLEL if they are EQUIDISTANT from one other and they do not have any POINT of intersection. Then, by Playfair's axiom (equivalent to the fifth postulate), there is a unique line m through P which is parallel to l.

hope it helps you MARK as brainliest ✌✌✌

32.

Which decimal lies between 3/4 - 7/4

Answer»

(3/4-7/4)/2= -0.5

hope it HELPS you PLEASE MARK me as BRAINLIEST

33.

33×3×3×3×3×3×3×3×3×3×3×3×3×3×3×3×3×3×3​​

Answer»

Step-by-step explanation:

33×3×3×3×3×3×3×3×3×3×3×3×3×3×3×3×3×3×3=12784876137

34.

Ek kilo aloo ki dam 10₹ ho to 6 kilo aloo ki dam kya hogi?

Answer»

Answer:

60rs

Step-by-step explanation:

1 KILO AALU KA DAM= 10rs

6 kilo aalu ka dam= 10×6=60rs

35.

466 can be rounded off to the nearest 100 as 400

Answer»

Answer:

this STATEMENT is FALSE. 466 can be rounded off to the nearest 100 is 500

36.

Maximum number of terms in linear polynomial may be

Answer»

Answer:

MAXIMUM NUMBER of TERMS in linear POLYNOMIAL is 2

37.

Find the least number which is a perfect square and also divisible by 6,15,12

Answer»

Answer:

The LCM of 6, 15, and 12 is 2×3×5×2 = 60.

prime factorisation of 60 is 60= 2×2 ×3×5.

we see that prime factors 3 and 5 are not in pairs. Therefore 60 is not a perfect SQUARE.

In order to get a perfect square, each FACTOR of 60 must be paired. So we NEED to make pairs of 3 and 5 . Therefore, 60 should be multiplied by 3×5,i.e., 15 .

Hence, the REQUIRED square number is 60×15

= 900.

38.

Find the second rational number that is equal to your age divided by your mother age

Answer»

Step-by-step explanation:

my MOTHER's AGE= 36yr.

my age= 12yr

so,ratio is 12/36.another rational number is 1/3

39.

Please do fast......​

Answer»

Answer:

2.i.TERMINATING or reccuring

ii.whole NUMBER.

iii.1.666666666666666

5.i.0.3846 and it is a terminating DECIMAL number

40.

Let pq to sa sequence equation by operating in Urdu

Answer»

ANSWER:

i can t UNDERSTAND your answer

41.

How to use 20 rupees change in sikka and note don't duble in note and rupees

Answer»

Answer:

1 ten RUPEE sikka

1 FIVE rupee sikka

1 TWO rupee sikka

1 ONE rupee sikka

1 more two rupee sikka

please FOLLOW me and Mark as Brainliest

42.

Solve y-5/4=y-3 and represent the solution on number line and on the cartesian plane

Answer»

ANSWER:

(y-5)(4=y-3)

= y-20=y-3

-20+3=y

y= - 23

43.

Who is that teacher or whatever she is to tell us what to do so please whe do not need your opinion

Answer»

ANSWER:

we have to SAY THANKS to them MAY be a TEACHER or she or he

44.

The HCF OF 44,88,308 USING SUCCESSIVE METHOD

Answer»

ANSWER:

44 = 2*2*11

88 = 2*2*2*11

308 = 2*2*7*11

H.C.F = 2*2*11 = 44

mark my answer as BRAINLIEST

45.

Factorise the following:4a^2-4b^2+4a+1

Answer»

ANSWER:

once CHECK the QUESTION

46.

Solve the equation Xpower5-5Xpower4+9Xcube-9Xsquare+5X-1=0

Answer»

ANSWER:

TELL me the VALUE of X.....

47.

The population of a city is 78932541 before ten years it was 6536451 find the increase in the population on of the city during the ten years

Answer»

Step-by-step explanation:

CURRENT POPULATION of the city - Population 10 YEARS BACK.

Hope this will help you out.

48.

What is the value of tan square30° + 2 cot2 60° ?

Answer»

ANSWER:answer is 1/3+ 2/3 =1

Step-by-step EXPLANATION:

49.

X cube + 3 x square minus kx + 4 is divided / X - 2

Answer»

ANSWER:

k=12

Step-by-step EXPLANATION:

50.

A= all idd natural numbers and B=all even natural numbers is it is equal set or overlapping set

Answer»

ANSWER:

it is an OVERLAPPING SET