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.

Is investing in share profitable or a risk

Answer»

Share MEANS which TYPES..

MAY be it is profitable
But some time MAKES you dangers situations..

2.

Prove that every bounded monotonic sequence is convergent

Answer»

If for all natural numbers j and k, aj,k is a non-negative real number and aj,k ≤ aj+1,k, then[2]:168

lim j → ∞ ∑ k a j , k = ∑ k lim j → ∞ a j , k . {\displaystyle \lim _{j\to \infty }\sum _{k}a_{j,k}=\sum _{k}\lim _{j\to \infty }a_{j,k}.}

The theorem states that if you have an infinite matrix of non-negative real numbers such that

the COLUMNS are weakly increasing and bounded, and

for each row, the series whose terms are given by this row has a convergent sum,

then the limit of the sums of the rows is equal to the sum of the series whose term k is given by the limit of column k (which is also its SUPREMUM). The series has a convergent sum if and only if the (weakly increasing) sequence of row sums is bounded and THEREFORE convergent.

As an example, consider the infinite series of rows

( 1 + 1 N ) n = ∑ k = 0 n ( n k ) / n k = ∑ k = 0 n 1 k ! × n n × n − 1 n × ⋯ × n − k + 1 n , {\displaystyle \left(1+{\frac {1}{n}}\right)^{n}=\sum _{k=0}^{n}{\binom {n}{k}}/n^{k}=\sum _{k=0}^{n}{\frac {1}{k!}}\times {\frac {n}{n}}\times {\frac {n-1}{n}}\times \cdots \times {\frac {n-k+1}{n}},}

where n approaches infinity (the limit of this series is e). Here the matrix entry in row n and column k is

( n k ) / n k = 1 k ! × n n × n − 1 n × ⋯ × n − k + 1 n ; {\displaystyle {\binom {n}{k}}/n^{k}={\frac {1}{k!}}\times {\frac {n}{n}}\times {\frac {n-1}{n}}\times \cdots \times {\frac {n-k+1}{n}};}

the columns (fixed k) are indeed weakly increasing with n and bounded (by 1/k!), while the rows only have finitely many nonzero terms, so condition 2 is satisfied; the theorem now says that you can compute the limit of the row sums

( 1 + 1 / n ) n {\displaystyle (1+1/n)^{n}}

by taking the sum of the column limits, namely

1 k ! {\displaystyle {\frac {1}{k!}}}

.

3.

Prove that product of 3 positive consecutive integers is divisible by 6 0

Answer»

Obtain all the ZEROS of the polynomial 2x4+x3-14x2-19x-6 if TWO of it ZEROES are -2 and 1

4.

Find the smallest number by which 1152 must be divided so that it becomes a perfect square.Also,find the number whose square is the resulting number

Answer»

1152= 2×2×2×2×2×2×2×3×3
Therefore 2 should be DIVIDED to 1152 to GET 576 as perfect square
HOPE YOU LIKE IT
PLZ GV BRAINLIEST

5.

What is chord in circle

Answer»

It is a STRAIGHT LINE SEGMENT which both ENDS on the CIRCLE

6.

5^5/9 % = ?please solve it.

Answer» HIII friend____✌️✌️✌️✌️

good evening___

here's your answer

5^(5/9) %
= 2.4452 * 100
= 244.52
7.

Ramu can do a work in 10 days and shamu can do that work in 15 days

Answer»

They TAKE 6 DAYS to COMPLETE the WORK

8.

What is the summation of infinity?????

Answer» DIVERGES to INFINITY. Or, to put it more loosely, that the SUM is equal to infinity. converges to a FINITE VALUE as long as the power is a number greater than . For every , the expression has a well-defined, finite value.
9.

Pls answer it fast............i will mark it as brainliestIf 49x²-b²=(7x+1/2)(7x-1/2) find the value of b

Answer» HIII friend_____✌️✌️✌️✌️



49x^2 - B^2 = 49x^2 - 1/4


use this PROPERTY _____

(a+b)(a-b) = a^2 - b^2

then

b^2 = 1/4

b = 1/2 & b = -1/2
10.

How to calculate smallest 5 digit no. which is exactly divisible by 7,12,15,16

Answer»

SMALLEST number MEANS U NEED to take out LCM

11.

A new computer costs rupees 60000.The depreciation is 40% every year.Find the price of the computer after two years

Answer»

Depreciation VALUE for 1ST year = 60000 - 40% of 60000 = 60000 - 24000

= 36000


depreciation value for 2nd year = 36000 - 40% of 36000 = 36000 - 14400

= 21600

computer price will be 21600 after 2 YEARS
12.

Paul and peter can do a piece of work in 60 days, while paul can do it alone in 80 days. how many days will peter take to complete the work alone?

Answer»

Paul and peter TOGETHER can do it in 60 DAYS, 1 day work = 1/60

Paul can do it in 80 days, 1 day work = 1/80


1 day work of peter = 1/60 - 1/80 = (4-3) / 240 = 1 / 240

Peter will take 240 days




13.

A player tosses 3 fair coins. he wins rs 5 if three heads appear

Answer»

Sample space S={HHH, HHT , HTH , THH , TTT , TTH , THT, HTT}
HENCE N(S)=8
if A: THREE HEADS APPEAR .
hence A= {HHH}
hence n(A)= 1
hence P(A)= n(A)÷n(S)=1/8

14.

Prove that 2^n can be expressed as sum of two consecutive numbers

Answer»

Integers starting with n is kn+k(k−1)2 so if mcan be written in this form, then 2m=k(2n+k−1). If m is a power of 2, then both k and 2n+k−1 MUST be powers of two, but they have DIFFERENT PARITIES, so ONE of them must be 1. Presumably, k>1, so 2n+k−1=1 or 2n+k=2. Since k≥2, this MEANS that n≤0.

15.

Prove that sinx^6 + cosx^6 + 3cosx^2+ sinx^2/( 1+ tan²x)(1-sin²x) = 1

Answer» ARYAN. PVT......LTD.......
16.

Evaluate :sin(nπ+(−1)nπ4) where n is an integer,

Answer»

If n=1 then sin(PI/2)=1

If n=2 then sin(pi)=0

If n=3 then sin(3pi/2) = sin(pi+pi/2)= -sin(pi/2)= -1

If n=4 then sin(2pi)=0

If n=5 then sin(5pi/2)= sin(2pi+pi/2)= sin(pi/2)= 1.

Hence sin n*(pi/2)

= 1 if n=1,5,9,13...

= -1 if n=3,7,11,15...

= 0 if n is EVEN

17.

21 or 25 question please solve it

Answer»

No more SPACE for reasoning...Hope you get the solution and trig. identitties...I also hope for good solution better than MINE..i just tried...N i FOUND solution in this WAY. .

18.

If a,b,c are i A.P and G.P prove a=b=c

Answer»

Hey i have PDF but here is no option for pdf can i SEND SOMEWHERE ELSE

19.

63.63 = m{21+(n/100)}

Answer»


m(21 + n/100) = 63.63 
2100 m + mn = 6363 = 6300 + 63 
m = 3 and n = 21 


1, 5, 7, 4, 8 
11, 15, 17, 14, 18 


If N is prime then it has 2 divisors. (Prime number is having 2 divisors) 
N + 1 is having 3 divisors means it is a square number (Square number is having odd number of divisors) 
N = 3 
divisors 1, 3 
N + 1 = 4 
divisors 1, 2, 4 
N + 2 = 5 is prime having 2 divisors. 


Biggest 10 digit palindrome is 9999999999 
smallest 8 digit palindrome number is 11111111 
find difference. 


P/9 + q/10 = r 
p/9 + p/10 = r 
19p = 90r 
p = 90 and r = 19 
Maximum value of r = 95 
when p = 450 

6 p, q , (p – q), (p + q) are prime 
sum = 3p + q 
p and q are odd so 3p is odd 
3p + q is even divisible by 2 


a(b + c) = 32 
b(c + a) = 65 
c(a + b) = 32 
ab + ac + bc + ab + ac + bc = 174 
ab + bc + ac = 85 
bc = 87 – 32 = 55 
b = 11 or 5 and c = 5 or 11 

ac = 85 – 65 = 20 = 5 × 4 
so a = 5 or 4 and c = 4 or 5 

from above conclusion a = 4, b = 11 and c = 5 
abc = 220 


Let full volume = x 
0.6x = 80 + 0.2x 
0.4x = 80 
x = 20 

10 
sum of all 5 angles = 540 
sum of remaining 3 angles = 540 – 180 = 360 
each angle = 120°

20.

In the given figure , AB||CD.prove that p+q-r=180 Plz solve it so important p,lz .......

Answer»

This is your ANSWER........

21.

Is calculator permitted for icse 2017 math exam?

Answer»

No. It is not PERMITTED in any SCHOOLS for BOARD EXAMS....

22.

Why children wasting time on Internet and any website

Answer»

Because childrens are INTRESTED in mobile GAMES and even parents are ALSO playing in mobiles and internet. even now TEACHERS are giving hw and they SEARCH internet.

23.

In a pie chart two or more central angles can be equal.

Answer»

They can be EQUAL or not

24.

One side of a right angle triangle is 2 centimetre then the other and to centimetre less than the hypotenuse how long are the three sides

Answer» LET the one side be x
Then other side is x-2 and the hypotenuse is x+2
Then by PYTHAGORAS THEOREM,we have
{(x)}^{2}  +  {(x - 2)}^{2}  =  {(x + 2)}^{2}
{x}^{2}  +  {x}^{2}   -  4x + 4 =  {x}^{2}  + 4x + 4
{x}^{2}   = 8x the SIDES are
X=8
X-2=6
and X+2 =10

So the sides of the triangle are 6cm,8cm and 10cm.
25.

3 of phone numbers have a sum of 22, if average of 4 numbers is 8, what is the 4th number

Answer»

SUM of 3 NUMBERS = 22

average of 4 numbers = 8

sum of 4 numbers = 8 x 4 = 32


4th NUMBER is sum of 4 numbers - sum of 3 numbers = 32 - 22 = 10

4th number = 10

26.

3/5 of cistern is filled in 1minute how much more time will be required to fill the of it

Answer»

LET time required = x

1 min = 60 seconds


3/5 of x = 60

3x/5 = 60

3x = 300

x = 300/3

x = 100 seconds

i.e. 1 minute 40 seconds will be required time to fill the cistern

27.

Product of zeros of polynomial (ax²-6x-6) is 6, find the valur of a

Answer» PRODUCT of ZEROES of a quadratic POLYNOMIAL =
c/a

ATQ,

6=c/a
6=-6/a
a=-1

So a turns out to be -1
28.

What is the lateral surface area of a cube of side 5cm

Answer» LSA of a SQUARE = 4a^2
= 4×5^2
=4×25
=100
HOPE IT HELPS YOU
29.

16x^ - 24x-1=0 solve by complete square

Answer»

Here is UR ANS....HOPE it HELPS

30.

कोडे सोडवा पाहु कोण लवकर उत्तर देतो 100 रुपयात 100 प्राणी घेऊन दाखवा 3 रुपयाला 1 घोडा 5 रुपयाला 1 हत्ती आणि 1 रुपयाला 2 उंट अट- प्रत्येक प्राणी घ्यावाच लागेल.

Answer»

I2i2ii2i2iiwiqiqoqowjwjwijekqkaska

31.

What is Square & Square Root of 2 Digit No

Answer» 2,I am not GUARANTEE about this ANSWER
32.

if sin/a=cos/b then asin2+bcos2

Answer» HOPE this HELP.......
33.

Find four consecutive term ina.p whose sum is 12 qn

Answer» LET the four CONSECUTIVE terms in an A.P. be a – 3d, a – d, a + d, a + 3d


As per the first condition,


a – 3d + a – d + a + d + a + 3d = 12


∴  4a = 12


∴ a = 12/4


∴ a = 3 ...........eq. (i)


As per the second condition,


a + d + a + 3d = 14


∴ 2a + 4D = 14



∴ 2 (3) + 4d = 14 [From eq. (i)]


∴ 6 + 4d = 14


∴ 4d = 14 – 6


∴ 4d = 8


∴ d = 8/4


∴ d = 2


∴ a – 3d = 3 – 3 (2) = 3 – 6 = – 3


a – d = 3 – 2 = 1


a + d = 3 + 2 = 5


a + 3d = 3 + 3 (2) = 9

∴ The four consecutive terms of A.P. are – 3, 1, 5 and 9

34.

A manufacturer sold an article at 18% gain wholeseller sold it to retailer at 20% gain retailer sold it 25% gain to customer if cutomer paid 30.09 rupees find the cost price to manufacturer

Answer»

Given,

Manufacturer To Wholesaller

Gain % = P1% = 18%


WHOLESELLER To Retailer

Gain % = P2% = 20%


Retailer to Customer

Gain % = P3% = 25%

Retailer Selling PRICE = RS. 30.09


Retailer to Customer

CP = (SP*100)/(100+P3%)

CP = 3009/125

CP of Retailer = Rs24.072


Wholeseller To Retailer

SP of Wholeseller = Rs. 24.072

CP = (SP*100)/(100+P2%)

CP = 2407.2/120

CP of Wholeseller = Rs. 20.06


Manufacturer To Wholesaller

SP of Manufacturer = Rs. 20.06

CP = (SP*100)/(100+P1%)

CP = 2006/118

CP of Manufacturer = Rs. 17



The Cost Price of the Manufacturer = Rs. 17

35.

2 numbers ratio 7:9.if 12 subtracted from each of them then ratio 3:5 the small no what

Answer» HEY FRIEND your ANSWER
36.

N^3+3n^2+5n+3 is divisible by 3 mathematical induction n(n+1)(n+2)

Answer»

N^3 + 3N^2 + 5N + 3
=n^3 + 3n^2 + 2n+3n + 3
=n(n^2 + 3n + 2)+3n + 3
=n(n+1)(n+2)+3n+3

37.

Numerical value of sin 12 degree into sin 48 degree into sin 54 degree equals to

Answer»

SIN 12 X sin 48 x sin 54 = 0.125


38.

a passenger train running at 60 km/hr leaves the railway station 5 hours after a goods train had left and overtakes it in 4 hours. what is the speed of the goods train?

Answer» 60*5 = X * (5+4) » x = 300/9= 80/3= 26.67 KMPH
39.

Probability examples of cards in hindi 1 rbse

Answer» PROBABILITY =no of EXAMPLES /TOTAL no.
40.

The number of process completed per unit time is known as

Answer» FREQUENCY if REGARDED to Sound
Velocity if regarded to DISTANCE and SPEED
41.

Primeter of a rectanglar plot is 156m and breath is 34 m find its area

Answer»

Perimeter of a RECTANGLE= 2(l+b)
=>2(l+38) =156
=>l+38 =78
=>l=40 m

Area of a rectangle = l×b
=40 ×38
=1520 m²

42.

(m+n)^−1×(m^−1+n^−1)=(mn)^−1Pls explain

Answer»

(m+n)^−1×(m^−1+n^−1)=(MN)^−1
=(m+1)(n+1)=mn+m+n+1
=(mn−1)+(m+1)+(n+1)

43.

5 + x/ 5-x - 5-x/ 5+x = 15/4Solve the following quadratic equation by factorisation

Answer»

ANSWER:

Step-by-step EXPLANATION:

44.

Ratio And Proportion Examples give me no spam

Answer» FIRST Pic Is Of Proportion And Other One Is Ratio.

If It Is RIGHT Plz.. Mark As BRAINLIEST..
45.

Identify a quadrilateral which has four sides of equal length and 4 right angles

Answer»

It's SQUARE as SQUARES are QUADRILATERAL too

46.

75cm:1m 25 cm and $10: $7..50

Answer» HEY MATE here both UNITS are DIFFERENT... and what is the QUESTION.??
47.

For what value of know, the roots of the quadratic equation kx (x-2root5)+10=0

Answer»

Kx²-2√5kx+10=0 what can PROVE

48.

If x=rsinAcosC ,y=rsinAsinC and z=rcosA,prove that

Answer» HOPE this HELPS you☺️☺️
49.

P(x)=-x2-4x-5 graph

Answer»

Xy0−51−82−93−84−5xy0-51-82-93-84-5

50.

PLS ANSWER THIS FAST...............I WILL MARK IT AS BRAINLIESTWrite three possible set of values for the dimensions of a cuboid whose volume is given by y³+8y²+17y+10,where y is a natural number

Answer» 1. (y+2)×(y+5)×{(y+1)(y+1)(y+1)}
2. {(y+2)×(y+1)}×(y+5)×{(y+1)×(y+1)}
3. {(y+2)×(y+1)}×{(y+5)×(y+1)} ×(y+1)