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 y represents distance and x represents time dimensions of d2y/dx2 are

Answer»

Step-by-step EXPLANATION:

d2y/dx2

=2y/x2

=y/x

therefore, SPEED =distance/time

2.

Acharya quadratic formula.Ans.Exercise 3.40. 1. Solve the following equations by themethod of completing square.(i) 3x2 – 5x + 2 = 0​

Answer»

Step-by-step explanation:

3x² -5x +2 =0

Now DIVIDE the x² coefficient THROUGHOUT,

⇒x²- 5x/3+2/3=0

Divide the coefficient of x by 2, and square it and add it and subtract it in the equation,

⇒x²-5x/3+2/3+25/36 -25/36 =0

⇒x²-5x/3+25/36 =1/36

⇒(x-5/6)²=(1/6)²

⇒x-5/6=plus or MINUS 1/6

x-5/6=1/6 (or) x-5/6= -1/6 ⇒x= -1/6+5/6⇒x=4/6 ⇒x=2/3.

x=1.

x=1(or)2/3.

3.

By what number should -28/15 be multiplied to get the multiplicative inverse of -5/7 ?​

Answer»

ANSWER:

answer is 3/4 .LOOK the IMAGE

4.

The sum of two rational number is -4 one of them is minus 11 by 5 find the another number​

Answer»

Answer:

-9/5

Step-by-step EXPLANATION:

let another no. be x

so ACCORDING to question

x+ (-11/5)= -4

x= -4- (-11/5)

x=-4+11/5

lcm = 5

-20+11/5= x

-9/5=x

5.

# ____questiosn:How many days are there in a year and how many years makes a century and multiply them and with the answer divide by 10 and add 400 to it. now spammwell explained answer always needed content and quantity #Teaser questions ​

Answer»

Hey there!!

Number of days in a year differs. Because a NORMAL year has 365 days and a leap year has 366 days. For this question, I am TAKING 365 as the number.

In a century, there are 100 YEARS.

This is how the order goes:

1) Decade - 10 years

2) Century - 100 years

3) Millennium - 1000 years

Multiply them? 365 × 100 = 36500

Divide by 10 = 36500/10 = 3650

Adding 400, we get  4050

6.

Solve this question of 7 th class​

Answer»

a)+3km

b)-₹500

this is UR ANSWER

7.

Hi can anyone suggest me how to add and subtract integers very faslty​

Answer»

ANSWER:

you should really FOCUS on the sign and then the number whose sign is GREATER write it in front of the answer

8.

Why 17+(11×13×17×19) is a composite number. explain​

Answer»

Step-by-step EXPLANATION:

(11×13×17×19)+17

take common 17

Multiply by 1 because 1 is a factor of all numbers.

17(11×13×19×1)+1

17(2717)+1

17(2718)×1

It have more than two FACTORS so it is a Composite NUMBER.

9.

In a test +4 marks are given for every correct answer &-2 marks for every incorrect answer. Rahul answered allthe 30 questions out of which 25 answer were correct whatwas Rahul's total score?​

Answer»

ANSWER:

110

Step-by-step explanation:

total marks=4×30=120

correct answer =100 marks

INCORRECT =10

rahul score = total- incorrect

= 120-10

= 110

10.

Give newtons laws of motion ?​

Answer»

Answer:

Give NEWTONS laws of motion ?

Step-by-step explanation:

  • First law: A particle not subjected to external forces remains at rest or MOVES with constant speed in a straight line.
  • Second law: The acceleration of a particle is directly proportional to the resultant external force acting on the particle and is inversely proportional to the mass of the particle.
  • Third law: If two particles interact, the force exerted by the first particle on the second particle (called the ACTION force) is equal in MAGNITUDE and opposite in direction to the force exerted by the second particle on the first particle (called the reaction force).

HOPE IT HELPS!!

_______________________________

11.

A card is picked at random from a pack of 52 what is the probability that will be a king​

Answer»

<P>Step-by-step EXPLANATION:

total no of CARDS: 52

no of kings: 4(2red 2black)

p(GETTING a king): 4/52= 1/13

12.

For every positive integer is N Cube prove that n cube-1 is divisible by 6​

Answer»

Step-by-step explanation:

Answer. By the mathematical induction we have to prove this. ⇒ Given that S(n) = n3-n divisible by 6. Let n =1 then we get '0' which is divisible by 6. ∴ S(1) is true. Let us assume that n = k S(k) = k3- k which is divisible by 6. ∴ S(k) is true. ∴ (k3-k) / 6 = m ( integer ) (k3-k) = 6M k3= 6m +k --------→(1) now we have to prove that n = k+1 ⇒ (k+1)3 - (k+1) ⇒ (k3+3k2+3K+1) - (k+1) subsitute equation (1) in above equation then ⇒ 6m +k+3k2+2k ⇒ 6m +3k2+k ⇒ 6m +3k(k+1) ( ∴k(k+1) = 2P is an even number p is natural number) ⇒ 6m +3x2p ⇒ 6(m +p) ∴which is divisible by 6 s(k+1) is true. By the mathematical induction it is true for n∈N.

13.

Simply the following3abc - [2abc + {5abc -(-9abc)}]​

Answer»

Answer:

3ABC-[2ABC+{5ABC-(-9ABC)}]

=3abc-[2abc+{5abc+9abc}]

=3abc-[2abc+14abc]

=3abc-16abc

=-13abc

14.

it will be Thursday in one of the next 7 days this event is likely, unlikely, certain or having an even chance​

Answer»

Answer:

This EVENT is CERTAIN

Step-by-step explanation:

An event is SAID to be certain if it has a chance to occur 100%, As there are only 7 days in a week and one among it is thursday , and it is sure or there is an 100% probability that the thursday will APPEAR in one among the 7 days that follow, so we can CONCLUDE that the event is certain.

15.

Find the subtraction of 1/4-3/4-2/3​

Answer»

ANSWER:

HEYA MATE there's your answer

1/4-(3/4)-(2/3)

=1-3/4-(2/3)

=-2/4-(2/3)

=-1/2-(2/3)

=-(1/2+2/3)

=-7/6

hope it HELPS you

THANK you

16.

Find the zero of polynomial p(x)= 8x-2​

Answer»

<P>ANSWER:

\frac{1}{4}

Step-by-step explanation:

Given, p(X)= 8X-2

Let 8x - 2 = 0

{\implies{\sf{}}}8x = 2

{\implies{\sf{}}}x = 2/8

{\implies{\sf{}}} x = 1/4

17.

Tail me plzzzzI will mark you as brainliest ​

Answer»

ANSWER:

gvive \: as \\ (a {}^{4}  +  \frac{1}{a {}^{4} } ) = 727 \\ (a {}^{2}  +  \frac{1}{a {}^{2} } ) {}^{2}  = (a {}^{4}  +  \frac{1}{a {}^{4} } ) + 2 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 727 + 2 = 729 \\ now \\ (a  -  \frac{1}{a} ) {}^{2}  = (a {}^{2}  +  \frac{1}{a {}^{2} } )  -   2 = (\sqrt{729})  -  2 = 25 \\ thus \\ (a  -  \frac{1}{a} ) {}^{3}  = (a {}^{3}   -   \frac{1}{a {}^{3}})   +  3(a -  \frac{1}{a} ) \\ ( \sqrt{25} ) {}^{3}  = (a {}^{3}    -   \frac{1}{a {}^{3} } )  + 3 \times  \sqrt{25}  \\ 5{}^{3}  - 3 \times 5 = (a {}^{3}  -  \frac{1}{a {}^{3} } ) \\ (a {}^{3}  -  \frac{1}{a {}^{3} } ) = 110

18.

Write down any one set of integer whose product is -64

Answer»

( 8;-8)...............
...

19.

(5+√3)/(5-√3) through rationalisation​

Answer»

Step-by-step EXPLANATION:

NOTE:- CHECK attachment

Be BRAINLY

20.

Find the Hcf of smallest composite number andSmallest Prime number.composite number​

Answer»

 HCF of the smallest COMPOSITE number and the smallest PRIME number = 2

smallest composite number = 4     

                                                = 2 × 2

smallest prime number = 2

i HOPE it help you.....

21.

The angles of quadrilateral are in AP whose common difference is 10 .Find the angles.​

Answer»

HOPE it HELPS U.........

22.

The length & breadth of a rectangle are 10 cm & 20 cmrespectively, if its length is doubled then find its new area?​

Answer»

ANSWER:

Step-by-step explanation:

Area is l*b

10*20

200cm

If length is double then

L= 2*10

20cm

New area is l*b

20*20

400cm

Hope it HELPS

PLEASE mark it brainliest :)

23.

The sum of the 3 terms of a arithematic sequence is 45 if the product of the first and 3rd terms exceeds the 2nd term by 41.find the arithematic sequence?​

Answer»

LET the TERMS be a,a+d,a+2d

a+a+d+a+2d=45

3a+3d=45

a+d=15

Given...a(a+2d)-(a+d)=41

a^2+2ad-a-d=41

24.

In an arithematic progression the sum of first 11 terms is 99 .find the 6th term in that sequense?​

Answer»

ANSWER:

so, the 6TH TERM is 9.

because a+5d= 6th term.

25.

Hii frnd plzz.. answer this no spamm!!​

Answer»

HEY there

refer to ATTACHMENT

26.

Factorise:1-8x + 16x​

Answer»

ANSWER:

1+8X is the answer ..U can't further FACTORIES UT

27.

1. Name the angles in the given figure.1. D2.​

Answer»

ANSWER:

RIGHT ANGLE EQUATE angle

there is no DIAGRAM

28.

Find the present of pure gold in 22-carat gold ,if 24 - carat is 100% pure.​

Answer»

Answer:

22/24*100=91.67%of PURE GOLD

29.

What is the HCF of 1045 and 1520​

Answer»

HELLO DEAR...

SEE this ATTACHMENT...

hope it helps... Insha Allah..

30.

Find the remainder when p(x)=root 2x^2+xis divided by x-52plz solve this question I mark as brainleast and follow also plz this is my request ​

Answer»

REMAINDER---522x+x

Hope it HELP you.

31.

List any ten 6 digit number​

Answer»

495,786, have SIX digits

hope HELPFUL for you ✌️✌️✌️

please FOLLOW me

32.

5. If f(x) = ax + b then find the zero of f(x).​

Answer»

Step-by-step EXPLANATION:

But where is f(x).........

MUST POST proper QUESTIONS

33.

Write down a set of a integer who product is -64

Answer»

ANSWER:

(-8, 8) (16,-4) (32,-2)

34.

The integer whose product with (-1) is (+39) is

Answer»

Answer:

heya mate there's your answer

-1×(-39)

=1×39 (minus ×minus =PLUS)

=+39

so required INTEGER is -39

hope it helps you

Thank you

35.

Calculate the amount on rs 37500, at 8%p.A compounded halfyearly for 1 1/2 year

Answer»

ANSWER :

The amount after 3 year at 4% rate is RS. 42,000.

STEP by step explanation :

Hey Mate,

In COMPOUND Half Yearly, Interest will be half and Time get double.

So,

New

R = 4 %

T = 3 Years.

P = 37,500

So,

S.I = ( PRT/ 100 )

S.I = ( 37,500 × 4 × 3 ) / 100

S.I = Rs. 4500

So, The amount should be S.I + Principle

A = 4500 + 37,500

A = ₹ 42,000

36.

Prove that a product of two positive integers is divisible by 2 ​

Answer»

Answer:

to PROVE PRODUCT of TWO POSITIVE integers is DIVISIBLE by two:

10*2/2

20/2

10

37.

Derive the formula of Einstein equation e equal to MC square ​

Answer»

ANSWER:

The standard equation for the ENERGY of MOVEMENT (kinetic energy) is: That is, kinetic energy is equal to half the mass multiplied by the VELOCITY squared.

DERIVATION IS IN THE IMAGE

38.

Tan 20 tantantan70914: Il conne A n ak Sma Cina. Aprove that a bla NO ESQ1. Pind the value of 10Q16- Find a bul l with thethemeQ17. On dividing the polynomialy10 and 31 respectively findQ18. Find the third Zeru of 2 -2f e restreseraphiny 2yQ19- Solve the following mystem of-7. Find the point where the lines meeryQ20- Solve the following system of equation graphically 3x +Q21- Solve the following system of equation by eliminating andmethod Dx+y-14 -= V2+viyo.Q22. Determine the verties of the triangle formed by the lineequations +y = 3,2x + 5y - 12223. The wum of numerator and denominater of a Fractionsithe numerator If the numerator and denominatthey are in the ratio 28 Determine the fraction224. Find the Zeros of the following quadratic polynomialanhip between the zeros and coeficienton325- Solve the following system of equation by the method ofmultiplication,x+2y+1 -0,2x-3y 1226. A two digit number is times the sum of its digitaif 18 isnumber, the number's digit are reversed find the numberthe​

Answer»

ANSWER:

Hdjnxgvjxngxjgsjgxkh uldjtdmh

39.

Plzz ans me correctly​

Answer»

Answer:

-16.4..

Step-by-step explanation:

For CONVERTING a fraction into decimal.. We NEED to divide the numerator by denominator..

So in this case.. DIVIDING - 113 by 7..

It COMES out to be - 16.14..

Hope it helps..

Please MARK it brainliest..

40.

Find the degree of the polynomial 2/3x4-1/5x+7/8x7+3​

Answer»

Answer:

The polynomial {\displaystyle 3-5x+2x^{5}-7x^{9}} 3-5x+2x^{5}-7x^{9} is a nonic polynomial

The polynomial {\displaystyle (y-3)(2y+6)(-4y-21)} (y-3)(2y+6)(-4y-21) is a cubic polynomial

The polynomial {\displaystyle (3Z^{8}+z^{5}-4z^{2}+6)+(-3z^{8}+8z^{4}+2z^{3}+14z)} (3z^{8}+z^{5}-4z^{2}+6)+(-3z^{8}+8z^{4}+2z^{3}+14z) is a quintic polynomial (as the {\displaystyle z^{8}} z^{8} are cancelled out)

The CANONICAL forms of the three examples above are:

for {\displaystyle 3-5x+2x^{5}-7x^{9}} 3-5x+2x^{5}-7x^{9}, after reordering, {\displaystyle -7x^{9}+2x^{5}-5x+3} -7x^{9}+2x^{5}-5x+3;

for {\displaystyle (y-3)(2y+6)(-4y-21)} (y-3)(2y+6)(-4y-21), after multiplying out and collecting terms of the same degree, {\displaystyle -8y^{3}-42y^{2}+72y+378} -8y^{3}-42y^{2}+72y+378;

for {\displaystyle (3z^{8}+z^{5}-4z^{2}+6)+(-3z^{8}+8z^{4}+2z^{3}+14z)} (3z^{8}+z^{5}-4z^{2}+6)+(-3z^{8}+8z^{4}+2z^{3}+14z), in which the two terms of degree 8 cancel, {\displaystyle z^{5}+8z^{4}+2z^{3}-4z^{2}+14z+6} z^{5}+8z^{4}+2z^{3}-4z^{2}+14z+6

Step-by-step explanation:

The degree of {\displaystyle (X^{3}+x)+(x^{2}+1)=x^{3}+x^{2}+x+1} (x^{3}+x)+(x^{2}+1)=x^{3}+x^{2}+x+1 is 3. Note that 3 ≤ max(3, 2)

The degree of {\displaystyle (x^{3}+x)-(x^{3}+x^{2})=-x^{2}+x} (x^{3}+x)-(x^{3}+x^{2})=-x^{2}+x is 2. Note that 2 ≤ max(3, 3)

Scalar multiplication

Edit

The degree of the product of a polynomial by a non-zero scalar is equal to the degree of the polynomial, i.e.

{\displaystyle \deg(cP)=\deg(P)} \deg(cP)=\deg(P).

E.g.

The degree of {\displaystyle 2(x^{2}+3x-2)=2x^{2}+6x-4} 2(x^{2}+3x-2)=2x^{2}+6x-4 is 2, just as the degree of {\displaystyle x^{2}+3x-2} x^{2}+3x-2.

Note that for polynomials over a RING containing divisors of zero, this is not necessarily true. For example, in {\displaystyle \mathbf {Z} /4\mathbf {Z} } {\mathbf {Z}}/4{\mathbf {Z}}, {\displaystyle \deg(1+2x)=1} \deg(1+2x)=1, but {\displaystyle \deg(2(1+2x))=\deg(2+4x)=\deg(2)=0} \deg(2(1+2x))=\deg(2+4x)=\deg(2)=0.

41.

In triangle ABC tan(A-B+C)=?​

Answer»

Step-by-step EXPLANATION:

A+B+C=180 so that

B+C=180-A

A-B-C=A-(B+C)=A-(180-A)=2A-180

TAN(x-y)=(tanx-tany)/(1+tanxtany)

tan(2A-180)=(tan2A-tan(180))/(1_+tan2Atan(180))=tan2A/1-tan2A) SINCE tan(180)=-1

42.

What is the square root of 1846​

Answer»

ANSWER:

The square root of ONE THOUSAND, EIGHT hundred and forty-six √1846 = 42.965102117882

Step-by-step explanation:

MARK MY ANS AS BRAINLIEST

43.

10.cos(A+B) + sin(A - B)=2 sin(45° + A) cos(45° + B)​

Answer»

Given Cos(A + B) + sin(A - B) = 2sin(45° + A)cos(45° + B)
lift hand side ( LHS )
Cos(A + B) + sin(A - B)
cosAcosB - sinAsinB + sinAcosB - COSASINB

RHS
=> 2(sin45°cosA + cos45°sinA)(cos45cosB - sin45sinB)

=>2(√2/2cosA + √2/2sinA)(√2/2cosB - √2/2sinB)

=> 2( (1/2)cosAcosB - (1/2)cosAsinB + (1/2)sinAcosB - (1/2)sinAsinB)

=> cosAcosB - cosAsinB + sinAcosB - sinAsinB

LHS = RHS  

HOPE IT'S HELP

44.

If the 20th term of a hp is 1 and 20th term is -1÷17,then it's largest term is1) 42) 1÷23) 14)1÷4​

Answer»

I don't KNOW because I am a FAILURE in MATHS

45.

Why Tan²¤ + 1 = Sec²¤​

Answer»

Here Is Your Ans

____

BY PYTHAGORAS Theorem

h² = p² + b² ---- 1

Divide b² In equation 1

=  >  \frac{ {h}^{2} }{b}  =  \frac{ {p}^{2} }{ {b}^{2} }  +  \frac{ {b}^{2} }{ {b}^{2} } \\  \\  =  >  {( \frac{h}{b} )}^{2}  =  {( \frac{p}{b} )}^{2}  +  {( \frac{b}{b} )}^{2}  \\  \\

=> Sec²¤ = Tan²¤ + 1

_______

Hope It Helps U

46.

Write down a set of integer who's product is -64 down

Answer»

The set of integers WHOSE product is -64 is

-8, 8.

Mark me as BRAINLIEST and follow me

47.

2. Find the greatest and least values of 4sino + 3cos ß + 7.​

Answer»
48.

find the least number which must be substrated from 7581to obtain a perfect square. also find its square root​

Answer»

Answer:

lets try to find the SQUARE root of 7581

Step-by-step explanation:

after taking out the root we will see that 87Squqre is LESS than 7581 by 12 so 12 should be subtracted from 7581 to make it a PERFECT square perfect square=7581-12 =7569 and root over of 7569=87

49.

rakesh can complete a job in 6 days.raman can complete in x days. If both can complete in 4 days then find x .

Answer»

HEY there!!

Rakesh is ABLE to complete a job in 6 days. Then, in one day he is able to complete 1/6th of the work. Hence, Rakesh work rate is 1/6.

Raman can finish the work in x days. Then, he is able to complete 1/x th work in one day. Hence, the work rate for Raman in 1/x.

Both of them together complete the work in 4 days. If they work together, in one day, 1/4th of the work is done.

Now,we can write the equation as :

\frac{1}{6}+\frac{1}{x} = \frac{1}{4}

\frac{1}{x} = \frac{1}{4}-\frac{1}{6}

\frac{1}{x} = \frac{1}{12}

x = 12

Hence, Raman completes the work in 12 days.

HOPE it helps!

50.

1. Ram can finish a piece of work in12 days while Raju can do it in20 days. If both work it together,what time will they take to do thework?​

Answer»

Answer: it will take 20 days.because when they WORK together Ram will finish it fast,but Raju NEED 20 days . So after Ram's work Raju will do it