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.

9. Find the values of p and q so that the polynomialx^3+ px^2- 37x +q is exactly divisible by x^2 -3x+2​

Answer»

Given :-

Cubic polynomial : x³ + px² - 37x + q

The given cubic polynomial is exactly divisible by x² - 3x + 2

Required to FIND :-

  • Values of p and q

Solution :-

Given information :-

Cubic polynomial : x³ + px² - 37x + q

The given cubic polynomial is exactly divisible by x² - 3x + 2

we need to find the values of p and q .

Let's consider the given polynomial as ;

p ( x ) = x³ + px² - 37x + q

Now,

Let's Factorise x² - 3x + 2

➜ x² - 3x + 2

➜ x² - 2x - 1x + 2

➜ x ( x - 2 ) - 1 ( x - 2 )

➜ ( x - 2 ) ( x - 1 )

From this we can conclude that ;

p ( x ) is exactly divisible by ( x - 2 ) & ( x - 1 )

So,

Let ;

=> x - 1 = 0

=> x = 1

p ( 1 ) =

( 1 )³ + p ( 1 )² - 37 ( 1 ) + q = 0

1 + p ( 1 ) - 37 + q = 0

1 + p - 37 + q = 0

- 36 + p + q = 0

q = - p + 36 ➜ equation - 1

consider this as equation 1

Similarly,

Let ;

=> x - 2 = 0

=> x = 2

p ( 2 ) =

( 2 )³ + p ( 2 )² - 37 ( 2 ) + q = 0

8 + p ( 4 ) - 74 + q = 0

8 + 4P - 74 + q = 0

- 66 + 4p + q = 0

Substitute the value of q from equation 1

- 66 + 4p + ( - p + 36 ) = 0

- 66 + 4p - p + 36 = 0

3p - 30 = 0

3p = 30

p = 30/3

p = 10

Substitute the value of p in equation 1

q = - p + 36

q = - ( 10 ) + 36

q = - 10 + 36

q = 26

\bigstar\underline{ \boxed{  \text{ \pink{\bf{values of p and q  = 10 and 26}}}}} \mid \leftarrow

2.

3x-2=+4x+8. please solve me this very fast. i will mark you as brainliest​

Answer»

ANSWER: x=-10

Step-by-step EXPLANATION:

3x-2=4x+8\\-2-8=4x-3x\\x=-10

3.

Ss Mark the correct option1- eum of two negative number isalwaysa Positiveb) Negativea0​

Answer»

A) POSITIVE............

4.

فسin solve-x+3n2x-3​

Answer»

✨✨Answer is here✨✨

➡️✨✨see this PIC...✨✨

✔️✔️

5.

Sort these fractions in ASCENDING order. 1/3 3/7 1/4 2/5

Answer»

Answer:

2/5,1/3,1/4,3/7

Step-by-step EXPLANATION:

HOPE this helps u PLEASE MAKE me a BRAINLIEST answer

6.

Use earlid's e algorithm totia ooano270​

Answer»

ANSWER:

I don't UNDERSTAND that ONE is

7.

rishika went to a store to buy sugar. The price list at the store should is 81/2. how much money should rishika.pay if she wants to buy 23/4kg sugar​

Answer»

Answer:

I am not UNDERSTAND the QUESTION PLS send it CORRECTLY

8.

Find the compound interest when the rate is 6.25% , principal is ₹1275 and time is 1 year​

Answer»

\blue{\bold{\underline{\underline{Answer:}}}}

\green{\tt{\therefore{Compound\:Interest=79.6875\:rupees}}}

\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}

\green{\underline\bold{<klux>GIVEN</klux> :}} \\  \tt: \implies Principal(p) = 1275\: rupees \\  \\  \tt: \implies Rate\%(r) = 6.25\% \\  \\ \tt :  \implies Time(t) = 1 \: years \\  \\ \red{\underline\bold{To \: Find :}} \\  \tt:  \implies Compound \: Interest = ?

ACCORDING to given QUESTION :

\bold{As \: we \: know \: that} \\  \tt : \implies A =p(1 +   \frac{r}{100} )^{t}  \\  \\ \tt : \implies A =1275(1 +  \frac{6.25}{100} )^{1}  \\  \\ \tt : \implies A =1275 \times (1 + 0.0625) \\  \\ \tt : \implies A =1275 \times 1.0625 \\  \\ \green{\tt : \implies A =1354.6875 \: rupees} \\  \\  \bold{For \: compound \: interest : } \\  \tt : \implies C.I =A- p \\  \\ \tt : \implies C.I =1354.6875 - 1275 \\  \\   \green{\tt : \implies C.I=79.6875 \: rupees}

9.

Find the compound interest when the rate is 6.25% principal is ₹1275 and time is 1 years​

Answer»

✨✨Answer is here✨✨

➡️✨✨see this PIC...✨✨

✔️✔️

10.

_____ is absolute value of - 998​

Answer»

(+ 998) is ABSOLUTE value of (- 998)

PLZ LIKE THE ANSWER AND MARK IT AS BRAINLIEST.

ANSWER BY MANAS817

11.

Place value of 2in 63.892​

Answer»

0.002

this MAY be ENOUGH

12.

F4 4 4 4 4 4 49figurswrite thethe num mrealsto labh more than 93, 456 80​

Answer»

ANSWER:

ASK CLEARLY

MARK ME AS BRAINLIST ANSWER ✋

13.

-(-416) + (-3160) evaluate it​

Answer»

ANSWER:

-(-416)+(3160)

= 2,744

mark as BRAINLIEST.

14.

X^2 +1 -x^2+x= Please fast

Answer»

{x}^{2}  + 1 -  {x}^{2}   + x   = 0\\  = x + 1 = 0 \\   =x  =  - 1

15.

Sort these fractions in ASCENDING order. 3/5 1/10 5/8

Answer»

ANSWER:

LCM of 5,10,8 = 40

24/40 , 4/40 , 25/40

4/40<24/40<25/40

1/10<3/5<5/8

hope this helps

pls MARK as BRAINLIEST

16.

Find the interest when the rate is 6.25% principal is ₹1275 and time is 1 year​

Answer»

ANSWER:

GIVEN,

P = Rs.1275

R = 6.25%

T = 1 year

Remain attach

I HOPE it's helpful for you....

Click Thanks button....

Mark me as BRAINLIST....

17.

Find the product of the face value and the place value of 8 in the number 60,38,124.

Answer» FACE VALUE of 8 in 6038124 =8
place value of 8 in 6038124=8000
product=8×8000
=64000
18.

Why do we need intervals

Answer»

Intervals are NEEDED because to REFRESH our SELVES to perform our BEST in approaching SITUATIONS.

19.

Find x And Check Your answerPlease Answer It

Answer»

Here it is. HOPE it will HELP

20.

Smallest 5-digit number with out repeating the digit

Answer»

The smallest NUMBER using the digits 7 5 2 8 is 2578. WRITE the greatest 5 digit numberusing 1 2 5. The digit may be REPEATED. Since we have to make the greatest 5 digit number using 3 digits, we will repeat the greatest digit required number of times

21.

If a, b, c are all non-zero and a+b+c=0, prove that a2/bc+b2/ac+c2/ba=3

Answer»

Step-by-step EXPLANATION:

HOPE it HELPS you SOLVE your SUM

22.

Please tell what is C(2n,n-1)

Answer»

C (2N, n-1) means that C is a point which location is 2n ALONG x AXIS and n-1 along you axis

23.

Answer the question in side of blue box.

Answer»

Firstly add -13/5 and 12/7
So by ADDING -13/5 and 12/7
=-13/5+12/7
=-31/35
now multiply -13/7 and -1/2
=-13/7×-1/2
=13/14
now DIVIDE -31/35 and 13/14
=-31/35÷13/14
=-31/35×14/13
=-434/455
=-0.953846154 (ANSWER)

24.

Please solve this matrix

Answer»

I HOPE this HELPS you

25.

Heya !! Diffrentiate bw mass nd weight ??

Answer»

Heya !!

Many people get confused between mass and weight. I'd like to state that they both are completely DIFFERENT things from one another. Let's see some points about each separately....

Mass.

  1. Mass can be defined as the total quantity of mater contained by an object.
  2. Mass is denoted by 'm' and is a scalar quantity.
  3. The S.I. unit of Mass is KILOGRAMS (kg). Other units of mass are grams, pounds etc...
  4. Mass of an object is constant everywhere in this UNIVERSE until and unless something is added to it or removed from it.

Weight.

  1. Weight can be defined as the product of the mass of the object and acceleration due to gravity on a heavenly body. In other words, Weight is a force with which a heavenly body pulls an object.
  2. Weight is denoted by 'w' and is a vector quantity.
  3. Since Weight is a FORE, its S.I. unit is Newtons (N).
  4. Since w = m * g, where w is weight, m is mass, and g is acceleration due to gravity, and the value of 'g' is not constant everywhere, the value of weight (w) is also not constant everywhere in this universe.

Hope it HELPS !!

26.

diagonal AC and BD of a Trapezium ABCD with ab parallel DC intersect each other at point O using similar Criterion of two Triangles show that OA/OC*OB/OD=1

Answer»



Given: ABCD is a trapezium in which AB is parallel to DC

To PROVE: OA/OC =  OB /OD

Proof: In TR. OAB and tr. ODC, 

27.

One property of square nos is "when bases are same powers are added" tell more properties

Answer»

When POWER are same then BASES are ADDED

28.

Lowest Common Multiple of 8 and 64 is

Answer»

✔⭐hope it HELPS you⭐✔

29.

What is the charge on the cavity wall and on the outer surface of an isolated conductor of any shape having net charge of +10 micro C and inside the conductor is a cavity within which is a point charge of +3 micro C?

Answer»

-3 MICRO C on CAVITY wall and +13 on OUTER surface of isolated CONDUCTOR

30.

a vendor had some X4 of them were broken his sold half the number of the remaining eggs and was left with 30 x at the end of the define the number of eggs he had started with what is the equation

Answer»

31 eggs.

After selling to 3 persons , he was left with 3 eggs.
After selling to 2 persons , he was left with 3*2 +1=7 eggs.
After selling to 1 PERSON , he was left with 7*2 +1=15 eggs.
Before selling to 1 st person , he was having 15*2 +1=31 eggs.

31.

HCF. Fullform in mathematics.

Answer» HCF is HIGHEST COMMON FACTOR
32.

Declination of HCF in maths

Answer»

The HCF
is HIGHEST COMMON FACTOR

33.

Solve ...,....question 99 plzzzz

Answer»

The ANSWER is OPTION B....
54°

34.

change 12 into irrational number form ,pls show it step by stem with more examples , because i am studing it first time

Answer»

Hello, thank you for posting.


-


ANSWER

\boxed {\sqrt{12}}


\text {To change 12 into a <klux>IRRATIONAL</klux> <klux>NUMBER</klux> you would need to convert it into a square root.}


What is a square root?

According to the Google DICTIONARY a square root is a number that produces a specified quantity when multiplied by itself.


When is a Square root root irrational?

A square root is irrational when it is not a perfect square.


Let's solve.

In order to make 12 an irrational number it must be a square root because the square root of 12 is not a perfect square.


\sqrt{12}


HENCE, the answer would be \sqrt{12}


Let me know if you have any further questions!

@Hybolt

35.

Please solve it guyes if u can do it than doo please okk

Answer» ADDITION of THREE ODD no.s is ALWAYS odd...
36.

If one shirt is made from 12/5 m of cloth, how many shirts of the same measurement can be made from 12 m of cloth?

Answer»

Cloth AVAILABLE = 12m


Cloth needed for ONE shirt = 12/5 m .


So, number of shirts to be MADE with 12m cloth = cloth available/cloth for one shirt = 12 * 5/12 = 5


Hence,5 shirts can be made out of 12m of cloth .(ans)

37.

How many plates of 177/8 g can be made from 531/4 g of iron?

Answer»

let X plates can be MADE

so 177/8 * x = 531/4


x = 531/4 * 8/177

x = (531 * 8) / (4 * 177)

x = 6


6 plates can be made

38.

Please answer the 11th a question

Answer» X-2+x-2=x+3+x+5(DIAGONALS)
2x-4=2x+8
by this FIND x
39.

Project on decimal (math)How to do?we have to write on visiting a place where you have buy many things with the money.(the money must be written in decimal)

Answer»

According to the question you visited a MARKET and PURCHASED some articles . You can maje the project like this :
Apple : 1 kg 100.5 RUPPES banana: 100.9 ETC . If it will help

40.

Please answer these questions fastly

Answer»

This is the ANSWER for 11 TH B)

41.

find the values of x and y if the distance of the point (x,y) from (-3,0) as well as from (3,0) are 4

Answer»

Góod question









Let x = 0
Then (x, y) MUST LIE on y axis

y =±\sqrt{16 - 9}  \\ y = ± \sqrt{7}
Then the POINT will be (0,±√7)

42.

Find the HCF using successive division method of 106,192,96

Answer»

106÷192=R=86

86÷106=R=20

20÷86=R=6

6÷20=R=2

2÷6=3

H.C.F. of 106 and 192 is 3

H.C.F. of 3 and 96

3÷96=32

H.C.F.of 106,192 and 96 is 3

43.

Ax-by=asquare+bsquare,x+y=2a

Answer» TOH FIR find kya KARNA hai BATAO
44.

2x^2+5x+2=6xplz... slv fast

Answer»

The ANSWER is under BOX.

45.

What is the second derivative of log{x+(x^2 + 1)^1/2}?

Answer» X + (x^4 +2x^2 + 1)
46.

Find corresponding to 3 + root 2 number line

Answer»
HOPE it HELPS !

REGARDS,
MOHIT khairnar
47.

What is additive inverse number

Answer»

A number that, when added to the FIRST number, produces zero. If[MATH]a+b=0[/math], then[math]a[/math]and[math]b[/math]are additive INVERSES of each other. Usuallywe denote additive inverses with a negative SIGN out front, i.e. the additive INVERSE of[math]a[/math]is[math]-a[/math].

48.

Explain the answer you will get 20 points

Answer»

Step-by-step EXPLANATION:

TELL which CLASS this QUES US !then I will tell you

49.

Ansrrrrrrrrrrrrrrrrrrrrrrrre

Answer»

4.


Let the middle numbers be x, y and z.


Then it'll be 5, x, y, z and 6.


5xy = xyz = 6yz = 120


Consider 5xy = 6yz = 120

5x = 6Z = 120 / y


On 5x = 6z, we can find that x/z = 6/5


∴ x : z = 6 : 5


Here we can understand that x and z are multiples of 6 and 5 respectively.


Let x and z be 6m and 5n respectively.


xyz = (6m)y(5n) = 30myn = 120


myn = 120 / 30 = 4


If x = 6 and z = 5, then myn = 1 x y x 1 = y = 4


So we can take the 5 numbers as,


5, 6, 4, 5, 6.


5.


Find the sum of digits of the number. If the sum is divisible by 3, the number is a multiple of 3. If the sum is divisible by 9, the number is divisible by 9. If the number is divisible by 9, it is also divisible by 3.


123456789 is divisible by both 3 and 9. The sum of its digits is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45. 45 is divisible by 9.


546782543 is not divisible by 3 and 9. 5 + 4 + 6 + 7 + 8 + 2 + 5 + 4 + 3 = 44 is not divisible by 3.


389457986 is not divisible by both 3 and 9.


678458886 is divisible by 3, but not by 9.


189868437756 is divisible by both 3 and 9.


Hope these MAY be helpful.


PLEASE MARK my answer as the brainliest if these may be helpful.


Thank you. Have a nice day.

50.

A card is selected at random from a well shuffled pack of 52 cards find the probability that the selected card is not a card of a diamond

Answer»

39/52......................