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.

If A, B, C are inversible matrices then (ABC-1 =(a) A-B-c-1(b) B-C-A-o(c) CA-1B-0(d) CB-A-

Answer»

Answer:

heyyy DEAR!!!

If A,B,C are INVERTIBLE MATRICES then

(ABC)^-1= C^(-1)×B^(-1)×A^(-1)

hope this helps you.

2.

A. 26B. 32C. 37D. 42

Answer»

Answer:

26

Step-by-step EXPLANATION:

a)26 is the ans

mark as BRAINLIEST

3.

A person invested a certain sum for five years at the rate of r% per annum simple interest. If he had invested the same sum at the same rate compounded half yearly for one year, he would have received the same amount. Find the value of r.

Answer»

if amount of is same , then interest is also same

S.I = C.I

\frac{PRT}{100} = P\left [ 1+\left \{ \frac{R/2}{100} \right \}^{2} \right ]

 

\frac{R}{20}+1 = \left \{ 1+\frac{R}{100} \right \}^{2}

\frac{1}{20}-\frac{1}{100}^{2}= \frac{R}{4000}

R= 1600

4.

Square root of 2.5 upto 3 decimal

Answer»

Answer:

1.581

Step-by-step EXPLANATION:

you can write 2.5 as 25/10

now TAKE separate square ROOTS and DIVIDE to get this answer

5.

Find the square root of the following upto three places of decimal l 2

Answer»

Answer:

1.414...................

6.

Given two regression lines are 8x-10y+66=0; 40x-18y=214 and variance of x is 9 calculate the variance of y

Answer»

Answer:

13.8 .........................

7.

If tanA=1/2 and tanB=1/3 then what is the value of 4A+4B=

Answer»

ANSWER:

calculate for tan(A+B) as we know it is equal to tanA+tanB/(1-tanAtanB). LET X be the calculated value then FIND its inverse.

8.

If l and b are zeroes of the polynomial f (x) =4x power 2 -6x +2,find the value of l3 +b3

Answer»

°°QUESTION:➡If l and b are zeroes of the POLYNOMIAL f (X) =4x power 2 -6x +2,find the value of L3 +b3...☢☢

°°TO FIND:➡l^3+b^3☢☢☢☢

STEP by step explanation↪

\bf\ \: here \:  \\ \\   \bf\  \underline{ f(x)  \implies {4x}^{2} - 6x + 2  = 0} \\  \\  \bf\ :\implies   {4x}^{2} - (4x + 2x) + 2 = 0 \:  \:  \:  \:   \\  \\ \boxed{2 \times  {4x}^{2} =  {8x}^{2} =  \underline{2x   \:  2x}    \: 2x (4x + 2x = 6x \: and \: 4x  \times  2x =  {8x}^{2}  }  \\  \\ \bf\ :\implies {4x}^{2} - 4x - 2x + 2 = 0 \\  \\  \bf\ :\implies4x(x - 1) - 2(x - 1) = 0 \\  \\ \bf\ :\implies(4x - 2)(x - 1) = 0 \\  \\ \bf\underline\red{zeros \: are } \\  \\ \bf\underline\blue{4x - 2 = 0 } \:  \:    \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \ \bf\underline\green{x - 1 = 0} \\  \\ \bf\underline\blue{ \implies \: x =  \frac{2}{4}}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \implies \bf\underline\green{x = 1}\\  \\     \bf\underline\blue{ \implies \: x = \frac{1}{2} } \\  \\  \bf\  if  \: \bf\red{ l =  \frac{1}{2}}   \:  \:  \: and \:  \:  \bf\pink{b = 1} \\  \\   \bf\underline\red{then \: \:  \:  \:  {l}^{3} = ( { \frac{1}{2} }^{3}) } \\  \\  \red{\boxed{\mapsto \frac{1}{8} }} \\  \\ \bf\underline\blue{ {b}^{3}  =  {1}^{3} } \\  \\ \blue{  \boxed{ \mapsto1}} \\  \\ \bf\red{l^3+b^3=\frac{1}{8}+1} \\ \\ \bf\red{ \implies \frac{1+9}{8}} \\ \\ \bf\red{ \implies \frac{10}{8}}\\ \\ \bf\red{ \implies \frac{5}{4}} \\ \\ \large\boxed{ \fcolorbox{lime}{yellow}{hope \: it \: help \: you}}

9.

What is the simplest form of 22 / 143

Answer»

ANSWER:

Step-by-step explanation:

2/13

10.

16l²-9m²=?R=3.4 S=9.5 P=8.7

Answer»

ANSWER:

(4l+3m) (4l-3m) is the Answer of your QUESTION

11.

A brilliant scientists attended a conference of fifty scientists (comprsing of both men and women ) . the scientists concluded that if out of the participants , any two individuals were picked at random , then at least one of the two would be male . from the aforementioned information , determine what percentage of the attends at the conferrnce were women?​

Answer»

ANSWER:   50%

Step-by-step EXPLANATION:

12.

If a, B, C are in versicle mattresses then (ABC)-1 =

Answer»

ANSWER:

answer will be OPTION a

13.

Plz.. ans me fast..​

Answer»

36.5

Step-by-step explanation:

MODAL SCORE is SIMILAR to mean score....so its simple answer u GOT it after ADDING these all then divide it by total no..of player..

14.

The value of 5+(-1) does not lies betweenoptiona) 0 and -10b) 0 and 10c) -4 and -15d) -6 and 6​

Answer»

Answer:

C) -4 and -15

Step-by-step explanation:

5+(-1)=5-1=4

since 4 doesn't come between

a) 0 and -10

B) 0 and 10

d)-6 and 6

15.

The square shown is dilated by a scale factor of 2. The center of dilation is point C. Which shows the correct image, A’ ?

Answer»

Given : A Square With center point C and Square is DILATED by a scale factor of 2 . The center of dilation point is is C

To find :  Correct image of Dilated Square

Step-by-step explanation:

Square is dilated by a scale factor of 2

=> NEW square will be twice the ORIGINAL Square

The center of dilation point is is C

=> Center of New Square also will be C  

New Square with Existing Square Shown in attached figure

Square will increase both sides as Center of Dilation point is Center of Square hence Square will increase Equally each side

Learn more:

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16.

X3+3x2-7x-9 divided by x+1​

Answer»

ANSWER:

-2 is the CORRECT answer

17.

If we know that (x - 4 ) is a factor of a polynomial p(x) of degree 3 , what is the remainder of p(x) (÷) (x-4) ?a. 0 b. 1 c. 2 d.3 e. not enough information to find the remainder

Answer»

Answer:

a.0

Step-by-step explanation:

FACTORIAL GIVES a reminder of ONE

cus that's a factor

Mark me as BRAINLIEST plzzzz.

18.

Please,help me!It is integral with substitution

Answer»

Question :

Integrate

1) \int \dfrac{cosx \:  dx}{4  + sin {}^{2}x}

2) \int \dfrac{dx}{x(1 +  ln {}^{2} x)}

Theory:

Integration is the inverse process of Differentiation.

•Methods of integration

Integration by substitution :

The GIVEN integral \int f(x)dx can be transformed into another by changing the independent VARIABLE x to t by SUBSTITUTING x = g(t)

Formula's used :

1) \int \frac{1}{x {}^{2} + a {}^{2}  }  =  \frac{1}{a}  \tan {}^{ - 1} ( \frac{x}{a} )

2) \int \frac{dx}{1 + x {}^{2} }  =  \tan {}^{ - 1} (x)

Solution :

1) I= \int  \bf \dfrac{cosx \: dx}{4 + sin {}^{2} x}

Let sinx = t

\frac{dy}{dx}  = cosx\implies  \frac{<klux>DT</klux>}{cosx}  = dx

I=  \int \frac{ \cancel cosx}{4 + t {}^{2} } \times  \frac{dt}{ \cancel cosx}

I=  \int  \frac{dt}{4+ t {}^{2} }

I=  \int \frac{dt}{2 {}^{2}  + t {}^{2} }

use formula : \int\:\frac{dx}{x{}^{2}+a{}^{2}}

I =  \frac{1}{2} \tan {}^{ - 1} ( \frac{t}{2} )  + c

Put t = sinx

I=  \dfrac{1}{2} \tan( \frac{ \sin  x}{2} )  + c

__________________________

2) I=\int \bf \dfrac{dx}{x(1 +ln {}^{2} x) }

Let lnx = t ⇒xdt = dt

\int  \bf \frac{dx}{x(1 + ln {}^{2}x) }  =  \int \frac{ \cancel  xdt}{  \cancel x(1 + t {}^{2} )}

I =  \int \frac{dt}{1 + t {}^{2} }

I=  \tan {}^{ - 1} (t)  + c

put t = ln x

I=  \tan {}^{ - 1} (lnx)  + c

19.

In a test, (+4) marks are given for every correct answer and (-2)for every incorrect answer. Amit answered all the questions and scored 110 marks though he got 35 correct answers. How many questions has he attempted incorrectly?PLEASE GIVE STEP BY STEP EXPLANATION.THANK YOU

Answer»

Answer:

15 INCORRECT answers.

Step-by-step EXPLANATION:

MARKS given for correct answers=+4

Thus marks given for 35 correct answers=(+4)*35=140

Total score=110

Marks given for incorrect answers= -2

Thus number of incorrect answers= 140-110=30

                                                        =30/(-2)=-15

Thus number of incorrect answers=15

20.

Integrate it.asap.​

Answer»

<P>In thermodynamics, when we're interested at GASES, I know that the work done can be written to be −pdV for a reversible process (p is the pressure of the system, and V is the volume of the system).

This is because

dW=Fdx=−pAdx=−pd(Ax)=−pdV

However, why is it not true ALSO that the work done is −pdV for non-reversible PROCESSES as WELL?

21.

How to learn the sin cos tan cot sec cosec easily?​

Answer»

SOH CAH toa

sin= o/h

cos=a/h

tan= o/a

22.

5. In a particular year, the sugar production of a factory was 3,89,67 246 bags. Inthe following year, the sugar production increased by 8,34,678 bags. How manybags of sugar were produced by the factory in two years?​

Answer»

3,89,67,246+(3,89,67,246+8,34,678)=7,87,69,160

Step-by-step explanation:

as it is INCREASED in the no. of bags in a YEAR so we have to add increase in PREVIOUS YEARS production.

Hope you got it!!

23.

P(x) = ax2+ bx + c. if a + b + c = 0, then find one of its zero.

Answer»

<P>Step-by-step EXPLANATION:

here a+b+c=0

so the ROOT of p(X) is 1

24.

Find LCM by using paper strips of different sizes

Answer»

ANSWER:

we USE LCM by FINDING numbers notveith strips

25.

Find the third proportion of 14and3.5

Answer»

Step-by-step EXPLANATION:

LET 3RD PROPORTION be x

14/3.5=3.5/x

=> 14x = 3.5×3.5

=> x = 3.5×3.5/14

=> x = 0.5×1.75

=> x = 0.875

26.

True or false: i) every natural number is a whole number

Answer»

Step-by-step explanation:

no because

natural NUMBERS are 1,2,3,4,5,6.......infinite

Whole numbers are 0,1,2,34,5,6.......infinite

here you CHECK that 0 is a whole NUMBER but not a natural number

27.

(-2+-3)+(+23-+26)+(29-12)-(-23+-35)+(234567890+234567890-1234567890+1234-3456789)

Answer»

ANSWER:

the RIGHT answer is -768887581.

Step-by-step explanation:

(-2+-3)= (-5)

(-5)+(+23-+26)= -8

(-8)+(29-12)=9

9-(-23+-35)=84

84+(234567890+234567890-1234567890+1234-3456789)= -768887581

28.

5÷x+y - 2÷x-y = -115÷x+y -7÷x-y = 10Solve the pair of equation

Answer»

Answer:

62827353627272653

Step-by-step explanation:

62728

362671928264

29.

Express 472 as a power of its prime factors

Answer»

Step-by-step explanation:

472= 2×2×2×59= 2^3×59

30.

If y is dorectly proportional to 1/x and x= 2 when y=20 what is the valu of x and y=1.25?

Answer»

ANSWER:

Step-by-step EXPLANATION:

y=K/x where k is any CONSTANT

20=k/2

So, k=20*2

k=40

y=40/x

1.25=40/x

x=40*1.25

x=25

31.

1250g,2kg express the first quantity as the percentage of the second quantity

Answer»

ANSWER:

62.5% is the answer for your question.

Hope it helps MARK me as Brainliest

Step-by-step explanation:

1250g......(1)

2000G.....(2)

So if we use X method then,

x% of 2000 = 1250

\frac{x}{100}  \times 2000 = 1250

20x=1250

x=1250/20

x=62.5

x%=62.5%

32.

Branliest!!!! LAst of my points!

Answer»

Answer:

40 SQ.in

Step-by-step explanation:

TOTAL surface area of the pyramid = area of 4 triangles+ area of square

=4×1/2×3×4 + 4×4 sq.in

=24 + 16 sq. in

=40 sq. in

please mark as BRAINLIEST

33.

1+4=5252+5=123123+6=215215+8=?

Answer»

ANSWER:

what is this I can't UNDERSTAND

34.

Harmonic mean is used for calculating(a) Average growth rates of variables(b) Average speed of journey(c) Average rate of increase in net worth of a company(d) All the above 1 to 3.​

Answer»

ANSWER:

In MATHEMATICS, the HARMONIC mean is one of SEVERAL kinds of average, and in particular, one of the Pythagorean means. Typically, it is appropriate for situations when the average of rates is desired.

plz mark it as BRAINLIST..

follow me..☺☺✌✌

35.

Who can help me,please?

Answer»

ANSWER:

I don't no MATHS I can't HELP SORRY

36.

Find the roots of 4/x - 3= 5/2x + 3​

Answer»

ANSWER:

Step-by-step explanation:

4/x-3=5/2x+3

4/x-5/2x=6

[4*2-5*1]2x=6

3/2x=6

1/2x=2

4x=1

x=1/4

hope it helps

please MARK as BRAINLIEST

37.

In a family of 5 children find the probability of one boy

Answer»

Answer:

1/5 is the PROBABILITY of BOY

38.

Answer plzzzzzzzzz??????​

Answer»

Answer:

6.2.0

It's the CORRECT

Step-by-step EXPLANATION:

PLEASE MARK BRAINLIEST

39.

Answer plzzzzzzzzzzzzzzz????​

Answer»

Answer:

0 4 2 Ans...

Step-by-step explanation:

HINT 1 : (6,8,2) one number is CORRECT & well placed.

Hint 2 : (6,1,4) one number is correct but wrong placed.

Hint 3 : (2,0,6) Two number are correct but wrong placed.

Hint 4: (7,3,8) Nothing is correct.

Hint 5 : (7,8,0) one number is correct but wrong placed.

From Hint 1 & 2 , we come to know that the number 6 is INCORRECT number.

From Hint 3 , we come to know that 2 & 0 are correct numbers.

From Hint 4 & 1 , we come to know that number 2 is correctly placed.

Hence the number will be _ _ 2

From Hint 3, 4 & 5 we come to know that 0 is wrongly placed in (2,06) & (7,8,0) .

Hence the number will be

(0 _ 2)

And from Hint 2 we come to know that the middle number is 4

====================

Therefore the 3-digit number is ;

0 4 2

Read more on Brainly.in - brainly.in/question/1096434#readmore

40.

Integrate it.the best answer would be marked the brainliest.​

Answer»

ANSWER:

here is the answer of the QUESTION

41.

Please give the full solution

Answer»

ANSWER:

answer is = a PLEASE NOTE about this SUPERMAN STORY

42.

1 ko-fatato = 4rsT o onion=0.501kg Garlic=025Trout 10kg Rs10​

Answer»

SORRY mate didn't UNDERSTOOD ur question.

plz mark as BRAINLIEST...

and follow me....

43.

Who knows the integrals with substitution?

Answer»

ANSWER:

The substitution RULE is a TRICK for evaluating integrals. It is based on the following identity between differentials (where u is a function of x): du = u dx . HENCE we can write: ∫⭐

44.

10 POINTS BRANLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answer»

ANSWER:

8 cm²

Step-by-step explanation:

You WOULD do

base · height divided by 3 to get the answer of 8 cm²

Hey ;)

Hope this HELPS...

45.

Mere pass 100 rupe hi 1 rupiy dena hi aur use jada mile ga aur mera bas 1 rupiy kam ho

Answer»

Answer:

99 RUPEES.

Step-by-step EXPLANATION:

46.

Among how many people should 21 kg of sweets be distributed do that each get 3/4 kg

Answer»

Answer: 28

Step-by-step explanation:

LET US suppose x persons

total SWEETS 21 kg

each person will get 3/4 kg

==> x × 3/4 = 21

==> x = 21× 4/3

x = 28

47.

Odd one out : 18,84,99,62,72

Answer»

ANSWER:

The odd one out is 18

Step-by-step EXPLANATION:

This is because on a number line, it is NOWHERE near the other 4 numbers.

Hey ;)

Hope this helps...

SORRY if it doesn't :/

48.

If rs 840 is divided between a and b in the ratio 3:4 then b's share is​

Answer»

Answer:

480

Step-by-step explanation:

let x be the COMMON multiplier of a and b.

so, acc. to given ratio,

3x + 4X =840

7x=840

x=120

so, b's share is 4x which results in 4 MULTIPLY 120=480

49.

A-2= 6 solve this in trial and error method

Answer»

\huge {\red {\mathfrak{Question:-}}}

\huge {\pink {\mathfrak{Solution:-}}}

Trial and error method : In trial and error method we put different VALUE of VARIABLE to find the EXACT value of variable.

Take : Value of a=1

\longrightarrow a- 2 = 6 \\ \\   \longrightarrow 1 - 2 = 6 \\  \\  \longrightarrow  - 1 \neq 6

Take : Value of a=2

\longrightarrow a- 2 = 6 \\ \\   \longrightarrow 2 - 2 = 6 \\  \\  \longrightarrow  0 \neq 6

Take : Value of a=3

\longrightarrow a- 2 = 6 \\ \\   \longrightarrow 3 - 2 = 6 \\  \\  \longrightarrow  1 \neq 6

Take : Value of a=4

\longrightarrow a- 2 = 6 \\ \\   \longrightarrow 4- 2 = 6 \\  \\  \longrightarrow  2\neq 6

Take : Value of a=5

\longrightarrow a -  2 = 6 \\ \\   \longrightarrow 5 -  2 = 6 \\  \\  \longrightarrow  3\neq 6

Take : Value of a=6

\longrightarrow a -  2 = 6 \\ \\   \longrightarrow 6 -  2 = 6 \\  \\  \longrightarrow  4\neq 6

Take :Value of a=7

\longrightarrow a-  2 = 6 \\ \\   \longrightarrow 7-  2 = 6 \\  \\  \longrightarrow  5\neq 6

Take : Value a=8

\longrightarrow a-  2 = 6 \\ \\   \longrightarrow 8-  2 = 6 \\  \\  \longrightarrow  6= 6

\green{\therefore{\tt{The\:value\:of\:x=8}}}

50.

Find the roots of x(x+4)=12

Answer»

ANSWER:

X(x+4) =12

x²+4x=12

x²+4x-12=0

x²+6x-2x-12=0

x(x+6) -2(x+6) =0

(x+6) (x-2) =0

so then,

x= -6 Or x=2

ans.......