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 is equal to 5 + 2 root 6 then find the value of a square + 1 by a square​

Answer»

ANSWER:

Step-by-step EXPLANATION:

x=5-2√6

Then 1/x=5+2√6. ( by RATIONALIZATION)

(5-2√6)²+(5+2√6)²

25+24-20√6+ 25+ 24+20√6

25+24+25+24

50+48

98 is your answer

2.

Without actual division prove that. 2x raise to 4 - 5x cube + 2x square - x + 2. Is exactly divisible by. x square - 3x + 2

Answer»

Answer:

Let p(x) = 2x4 – 5x3 + 2x2 – x+ 2 firstly, factorise x2-3x+2. HENCE, 0 of x2-3x+2 are land 2. Hence, p(x) is divisible by x2-3x+2.

please mark me as brainlist

3.

Differenciate w.r.t to x Ans:​

Answer»

\huge\bf{\red{\overbrace{\underbrace{\purple{Given:}}}}}

★y=\dfrac{2}{<klux>X</klux>}+\frac{x}{2}

\huge\bf{\red{\overbrace{\underbrace{\purple{To\:\:Find:}}}}}

★The DIFFERENTIATION of y W. R. t. x.

\huge\bf{\red {\overbrace{\underbrace{\purple{Answer:}}}}}

We have,

y=\dfrac{2}{x}+\frac{x}{2}

So,

\implies \dfrac{dy}{dx} =\dfrac{d[\dfrac{2}{x}+\dfrac{x}{2}]}{dx}

\implies \dfrac{dy}{dx}=\dfrac{d[2x^{-1}+\frac{1}{2}(x) ]}{dx}

\implies \dfrac{dy}{dx}=\dfrac{d[2x^{-1}]}{dx}+\dfrac{1}{2}\dfrac{d[x]}{dx}

\implies \dfrac{dy}{dx}=2\frac{d[x^{-1}]}{dx}+\dfrac{1}{2}\times 1

\large\orange{\boxed{\bf{\purple{y=a^{n}, \dfrac{dy}{dx}=na^{n-1}}}}}

\implies \dfrac{dy}{dx}=-2x^{-2}+\dfrac{1}{2}

\large\green{\boxed{\red{\sf{.\degree.\dfrac{dy}{dx}=-2x^{-2}+\dfrac{1}{2}}}}}

4.

Someone pls help me with this question.... ​

Answer»

Answer:

Your answer is....

2ab/a2-b2

hope you UNDERSTAND that....

Step-by-step EXPLANATION:

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5.

Zero of bx+a is -9 upon b true or false​

Answer»

ANSWER:

The answer is false

Step-by-step EXPLANATION:

The Zero of BX + a = 0

                   bx = -a

                    X = -a/b

6.

There are 454 grams in a pound. There are 16 ounces in a pound.How many grams are in an ounce?

Answer»

Answer:

There are ONE POUND = 454 grams

One pound = 16 ounces

Since 16 ounces = 454 grams

Therefore, 1 OUNCE = {454}/{16}

= 28.375 grams

There are 28.375 grams in an ounce.

7.

If the sides of each square is16cm. find the area of shadedregion.​

Answer»

Answer:

here is your answer

Step-by-step explanation:

Perimeter of a SQUARE = 16 CM.

Therefore each side is 16/4 = 4 cm = 0.04 m

Area of the square is (0.04*0.04) = 0.0016 m2

8.

If we add 1 to the numerator and subtract 1 from the denominator, a fractionbecomes 1. It also becomes 1/2 if we only add 1 to the denominator. What is thefraction?​

Answer»

Answer:

3/5

Step-by-step EXPLANATION:

Given :-

If we add 1 to NUMERATOR, and subtract 1 from the denomination, a FRACTION reduce the 1.

It becomes ½ if we only add 1 to the denominator.

To Find :-

The Fraction

Solution :-

Let the fraction be x/y                  

According to the QUESTION,

⇒ x + 1/y - 1 = 1                  

⇒ x - y = - 2 ... (i)

⇒ x/y + 1 = 1/2                  

⇒ 2x - y = 1 ... (ii)              

  

Subtracting equation (i) from equation (ii), we get                  

⇒ x = 3 ... (iii)            

    

Putting this value in equation (i), we get                  

⇒ 3 - y = - 2                  

⇒ -y =  5                  

⇒ y = 5                  

Hence, the fraction is 3/5

9.

Write the H.C. and L.CM of 120,90memehodby prime factorisation​

Answer»

Step-by-step EXPLANATION:

HOPE this answer is HELPFUL for you.

please MAKE me a brainliest.

10.

Express. 4 23/25 as decimal number​

Answer»

Answer:

16.92

Step-by-step explanation:

423/25=16.92

Hope you will GET HELP from this....

11.

A solution contains 15% of salt, from which 30 kg of water is removed. The quantity of salt remains 20% in that solution. Find the initial quantity of solution.​

Answer»

Answer:

Let, QUANTITY of original solution = 100x

Then quantity of salt = 15x

When 30kg of WATER is EVAPORATED then total quantity= 100x -30

But quantity of salt will remain same and now quantity of salt is 20% of original quantity

(100x -30)*1/5 = 15x

X = 120 kg

12.

Set b is an empty set. It is an element of set a. Therefore n(a) [cardinal number of a] is 1, right?... or does the empty set not count?

Answer»

ANSWER:

I can't UNDERSTAND which WAY you have written

13.

വാർഷികമായി കൂട്ടുപലിശ കണക്കാക്കുന്ന ഒരു ബാങ്കിൽ നിക്ഷേപിച്ച തുക 3 വർഷം കൊണ്ട് ഇരട്ടിച്ചു. ഇ തുക 8മടങ് ആകാൻ എത്ര വർഷം വേണം?​

Answer»

<P>Answer:

9 വർഷം

Step-by-step EXPLANATION:

'p' ആരംഭ പ്രിൻസിപ്പലാകട്ടെ.

3 വർഷത്തിനുശേഷം, തുക  = 2P

ഇത് പലിശ കൂട്ടുന്നതിനാൽ, ഓരോ തുല്യ സമയ പരിധിക്കും ഞങ്ങൾ ഒരേ ഘടകത്താൽ ഗുണിച്ചുകൊണ്ടിരിക്കും (ലളിതമായ താൽപ്പര്യത്തിൽ നിന്ന് വ്യത്യസ്തമായി ഓരോ തുല്യ സമയ പരിധിക്കും ഞങ്ങൾ ഒരേ തുക ചേർക്കുന്നു).

അതിനാൽ, മറ്റൊരു 3 വർഷത്തിനുശേഷം, നൽകാൻ ഇത് വീണ്ടും ഇരട്ടിയാകുന്നു

2 × 2p = 4P

മറ്റൊരു 3 വർഷത്തിനുശേഷം, അത് നൽകുന്നത് ഇരട്ടിയാക്കുന്നു

2 × 4p = 8p

ഇതിന് ആകെ 9 വർഷം എടുക്കും

അതിനാൽ ഈ തുക അതിന്റെ 8 മടങ്ങ് ആകാൻ 9 വർഷമെടുക്കും

Please mark as brainliest

14.

If a line is perpendicular to a radius of a circle at a point on the circle, then the line is tangent to the circle, right?

Answer»

Answer:

A tangent is is a straight LINE that touches the CIRCUMFERENCE of a circle at only one place.

Step-by-step EXPLANATION:

15.

392 is 1 less than?​

Answer»

it's is 1 LESS than 393 dear

hope this HELPS you

16.

Solve fast with full explanation..... otherwise will be reported​

Answer»

ANSWER:

the answer is

Step-by-step explanation:

138 because

24×6=144

144/24=6

so 144-6=138

17.

A company declares semi-annual dividend of 6%. If Raman has 700 shares ofnominal value 12.50 each, find his annual income.​

Answer»

Step-by-step explanation:

NUMBER of SHARES =700

nominal VALUE =12.50

DIVIDEND % =6%

dividend = 700×12.50×6%

= 525 (ANS)

18.

A rugby tournament with 10 teams is organised.Each team will play each other exactly once.Work out the total number of games played.

Answer»

Answer:

10 teams are organised so each team PLAYS every other team at least once. So, the first team plays the other 9 teams once. You do this for all 10 teams, and you have 10 X 9, or 90 GAMES PLAYED.

19.

The 11th term of the ap is - 5, - 25, 0, 5, 2, ... is​

Answer»

ANSWER:

This sequence is not in the AP so we can't find it's 11TH TERM

20.

Please answer these question i will follow and mark you brainliest!!!!8)Multiplying by which number is equivalent to finding 130.2%?9)Multiplying by which number is equivalent to a decrease of 8.2% ?10)A 10% increase followed by another 10% increase is not the same as a total increase of 20%.What is the total percentage increase?

Answer»

Answer:

8. 1.302

9. 1 -0.082=0.918

10. 21%

Step-by-step explanation:

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21.

Example 9. The cartesian equation of a line are 6x - 2 = 3y +1=22-2(a) Find its direction ratios and(b) Also find cartesian and vector equations of the line, which passes through the point(2, 1,-1) and parallel to the given line.Saintien​

Answer»

ANSWER:

LET 6x-2=3y+1=2z-2= L

Hence (x,y,Z)= (1/3,-1/3,1) + l(1/6,1/3,1/2)

i.e. 1/3 i + (-1)J + (1) k + l[ 1/6 i + 1/3j + 1/2k]

Step-by-step explanation:

please mark my answer brainlist

22.

How many times a student can give supply exam of b tech​

Answer»

MANY times

Step-by-step explanation:

because you can prepare as much as you can if you fail you can TRY the next YEAR

23.

Its urgent please help me​

Answer»

ANSWER:

I am not sure

but

i think its right

24.

Express tan in terms of cosec ​

Answer»

ANSWER:

HOPE IT HELPS YOU ☣☣☣✌✌✌☢☢☢

25.

90 degrees equals a 2a/3 what are the both angles

Answer»

ANSWER:

ANGLE 2a MEASURES 180°

and the angle 3 measures 270°

mark as BRAINLIEST if its helpful

HAPPY TO HELP.

26.

Verify m²- polynomialomial or notgivereason ?​

Answer»

Solution = 1 - cubic polynomial with variable "x"

1 - cubic polynomial with variable "x"2- it is not a polynomial because in polynomial there can not be ALGEBRAIC expression in denominator.

1 - cubic polynomial with variable "x"2- it is not a polynomial because in polynomial there can not be algebraic expression in denominator.3- it is a quadratic polynomial having " z" as variable.

1 - cubic polynomial with variable "x"2- it is not a polynomial because in polynomial there can not be algebraic expression in denominator.3- it is a quadratic polynomial having " z" as variable.4- it is also a quadratic polynomial with variable "m ".

1 - cubic polynomial with variable "x"2- it is not a polynomial because in polynomial there can not be algebraic expression in denominator.3- it is a quadratic polynomial having " z" as variable.4- it is also a quadratic polynomial with variable "m ".5- it is not polynomial because polynomial can not have negative exponent .

1 - cubic polynomial with variable "x"2- it is not a polynomial because in polynomial there can not be algebraic expression in denominator.3- it is a quadratic polynomial having " z" as variable.4- it is also a quadratic polynomial with variable "m ".5- it is not polynomial because polynomial can not have negative exponent .hence, expression (1), (3),(4) are polynomial, and expression (2) and (5) are not polynomials'

1 - cubic polynomial with variable "x"2- it is not a polynomial because in polynomial there can not be algebraic expression in denominator.3- it is a quadratic polynomial having " z" as variable.4- it is also a quadratic polynomial with variable "m ".5- it is not polynomial because polynomial can not have negative exponent .hence, expression (1), (3),(4) are polynomial, and expression (2) and (5) are not polynomials'algebraic EXPRESSIONS.

1 - cubic polynomial with variable "x"2- it is not a polynomial because in polynomial there can not be algebraic expression in denominator.3- it is a quadratic polynomial having " z" as variable.4- it is also a quadratic polynomial with variable "m ".5- it is not polynomial because polynomial can not have negative exponent .hence, expression (1), (3),(4) are polynomial, and expression (2) and (5) are not polynomials'algebraic expressions."thanks for this question"

1 - cubic polynomial with variable "x"2- it is not a polynomial because in polynomial there can not be algebraic expression in denominator.3- it is a quadratic polynomial having " z" as variable.4- it is also a quadratic polynomial with variable "m ".5- it is not polynomial because polynomial can not have negative exponent .hence, expression (1), (3),(4) are polynomial, and expression (2) and (5) are not polynomials'algebraic expressions."thanks for this question"【 hope it helps 】

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27.

Please answer these question i will follow and mark you brainliest!!!!5)Bill wants to increase 150 by 3%He writes downBill’s method is wrong. 150X1.3=195Find the correct multiplier. 6)What would you multiply by to decrease a number by 22.5%?7)Multiplying by which number is equivalent to finding 7.12%?

Answer»

Answer:

6.124897250552782-₹&((_#_(+_99634

28.

If R is a relation from set A={2,4,5} to set B={1, 2,3,4,6,8} defined by xRy =x divides y then the domain and the range of R are​

Answer»

Answer:

R = { (2,2) (2,4) (2,6) (2,8) (4,4) (4,8) }

Domain {2 , 4 }

RANGE { 2, 4 , 6 , 8 }

29.

Under root -1 under root minus one upon 64 ​

Answer»

ANSWER:

(√-1)/8 (an IMAGINARY NUMBER)

Step-by-step EXPLANATION:

=(√-1)/(√64)

=(√-1)/8

30.

The income of rahul is 20% more than the income of sourav and the income of the sourav is 25% more than the income of a defined by how much percent is the income of rahul more than the income of a jaaye

Answer»

Rahul : sourabh = 6:5
Sourabh : JAAYE = 5:4
So
Rahul : sourabh : jaaye = 6:5:4
Rahul is 2 more from jaaye
So 2/ 4 * 100 = 50 %

31.

A ladder 17 feet long is leaning against a wall. if the ladder , vertical wall and the floor from the bottom of the wall to the ladder form a right triangle,find the height of the wall where the top of the ladder meets if the distance between bottom of the wall to bottom of the ladder is7 feet less than the height of the wall?i already solved this sum ....but one confusion .....​

Answer»

ANSWER:

what is CONFUSION?….....USE PYTHAGORAS THEOREM

32.

A(x²+1)-x(a²+1)=0 find the root of the quadratic equation

Answer»

ANSWER:

it is not a QUADRATIC EQUATION

33.

The multicative inverse of (-5/9)-99

Answer»

Answer:

1/55

Step-by-step EXPLANATION:

-5/9×-99

-0.555×-99

55

please FOLLOW me

34.

If A+B are the zero of the polynomial ax.^2+bx+c then A+B=

Answer»

ANSWER:

If A,B are the ZEROS of the POLYNOMIAL

then

SUM of the zeros = -b/a

so,A+B= -b/a

35.

Multiply the multiplicative inverce of -8/9 with additive inverse of negative of -8/9

Answer»

ANSWER:

MULTIPLICATIVE INVERSE of -8/9=-9/8

additive inverse of -8/9=8/9

Acc. to ques.

-9/8×8/9

=-1

36.

If p(x)=ax^2+bx+c and a+b+c=0, then find one zero of the polymial in terms of a,b and c.Please answer fast.Irrelevent answers will be immidiately reported.

Answer»

ANSWER:

Step-by-step EXPLANATION: put x=1

                   u get a+b+c=0 then 1 is a ROOT of the EQUATION

              let the other be m

             so we know that the product of roots = c/a

                      then 1. m = c/a

                              then the other root is c/a

              hope u get it mate.................

37.

Use division algorithm to show that any positive odd integer is of the form 6q+1, or 6q+3 or 6q+5

Answer»

I HOPE it's HELP you

Plz mark my ANSWER as a BRAINLIEST answer

38.

The sum of two rational number is -5/11 if one of thr number is 3/13 find the other

Answer»

ANSWER: (-98)/143

Hope it helps you.

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39.

The area of triangulation ABC is 8cm square in which Ab=Ac=4cm and angle A = 90 degree

Answer»

Answer:

i really work hard for your answer

Step-by-step explanation:

Area of triangle ABC = 1/2 ×BASE × HEIGHT

= 1/2 × AB × AC

= 1/2 × 4× 4

= 2 × 4

= 8 cm square

LET AD IS PERPENDICULAR TO BC

In Triangle ADB AND ADC

AD = AD ( common)

ANGLE ADC = angle ADB ( each 90 degree)

AB = AC (Given)

Triangle ADB (congruent to). triangle ADC ( RHS criteria)

BD = CD ( cpct )

in triangle ABC , BY Pythagoras theorem

ABsquare + ACsquare = BC square

4 square +4 square = BCsquare

16 +16 = BCsquare

32 = BC square

:. BC = 4√2 cm

BD + CD = BC

2BD = BC (. BD = CD )

2BD = 4√2

BD = 2√2 cm

now in triangle BAD , by Pythagoras theorem

ADsquare + BD square = ABsquare

ADsquare + 2√2 square = 4 square

ADsquare + 4×2 = 16

ADsquare + 8 = 16

ADsquare = 16- 8

ADsquare = 8

.: AD = √8

.: AD = 2√2 cm

Hence length of perpendicular from A to BC = length of AD = 2√2 cm

40.

Mandeep’s factory has todeliver 49,192 toys in 26months. How many toys haveto be produced each month tosmoothly complete the order

Answer»

ANSWER:

1892 ORDERS per month.

Step-by-step explanation:

Order to be prepared per month= 49192÷26

= 1892

49192 \div 26 = 1892

Please mark it as brainlliest answer...

Thank it too...

Hope it HELPS...

THNKU.

41.

A number exceeds 376 84 955 by 361 what is the number

Answer»

HI MATR. Here is your answer.

Answer:

36185316

Step-by-step explanation:

36184955 + 361 = 36185316

42.

In a school 90% of the students are boys. The number of girls are 170. Then the total number of students in the school is

Answer»

ANSWER:

we have to ADD the PERCENTAGE

Step-by-step explanation:

1709 STUDENT are their in SCHOOL

43.

Prove that root 5 root 6 and root 7 are irrational number

Answer»

ANSWER:

I have proven root 5 as irrational please check the image click the first for PART 1 and SECOND for part two.... and THIRD one is proven root 7 as irrational

44.

E={ 1,9,25,49,81,121.....} in set builder form

Answer»

Step-by-step EXPLANATION:

HEY YOUR IS

( X:X IS A SQUARE NUMBER OF ODD NATURAL NUMBER )

HOPE IT HELPS

PLEASE MARK ME AS BRILLIANT

45.

(2/3)^5 × (3/5)^5 solve this

Answer»

ANSWER:

\sf\huge \implies: \frac{32}{3125}   \:  \:  \ddot  \smile

Step-by-step EXPLANATION:

\sf\huge   { (\frac{2}{3} })^{5} \times  ({ \frac{3}{5} })^{5}    \\  \\  \sf\ \implies: {(\frac{2}{ \cancel3}  \times  \frac{ \cancel3}{5}})^{5} \:  \:  \:  \:   \:  \:  \because\red{ {a}^{m}  \times  {b}^{m}  =  ({a \times b})^{m}   } \\  \\ \sf\ \implies:  ({ \frac{2}{5} })^{5}  \\  \\\sf\huge \implies: \frac{32}{3125}   \:  \:  \ddot  \smile

46.

Determine the sum of four numbers As given below a successor of 132 B predecessor of 149 C predecessor 456 successor of the 9167

Answer»

Answer:

SUCCESSOR of 132 + 1 =133

predecessor of 149 -1 = 148

predecessor of 456 - 1 = 455

successor of 9167 + 1 =9166

47.

Which metal contains iron as a major conten

Answer»

Answer:

heyyy,

The base metal: iron

The MAJOR COMPONENT of steel is iron, a metal that in its PURE STATE is not much harder than copper.

Step-by-step explanation:

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48.

Write two prime numbers whose product is the biggest even number less than16

Answer»

Answer:

7×2 = 14

ans.

CHECK IT OUT!!

49.

Two bells ring at an interval of 20 sec and 37 secs. After what least time in seconds, will both the bells ring together ? *

Answer»

Answer:

20 = 2×2×5 = 2²×5¹

37 = 1×37

LCM = 20×37

= 740sec

ans.

CHECK IT OUT!!

50.

For what value of k,one zero of x2-8x+k is double the other

Answer»

Answer:

128/9

Step-by-step EXPLANATION:

SUM of the ROOTS=8

X+2x=8

x=3/8

product of roots =k

x×2x=k

2(x)^2=k

2 (3/8)^2=k

k=128/9