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.

Roots of quadratic equation ax2+bx+c=0 are real and distinct if

Answer»

b2-4ac is GREATER than 0

2.

Seema and ram age is 3:2 the sum of the age is 12.What is the present ade

Answer»

Answer:

3x+2x=12

3x=12/2

x=6/3

x=2

3.

Pls someone help meee​

Answer»

Answer:

1)75 (180-105) alternate

2)110 (180-70)corsponding

4.

The resistance of a parallel circuit con-sisting of two branches is 12 ohms. Ifthe resistance of one branch is 18 ohms,what is the resistance of the other ?​

Answer»

Answer:

36 ohms

Step-by-step EXPLANATION:

When RESISTANCES are connected in PARALLEL then,

(1/R EFF)=(1/R1) + (1/R2) [R eff is the effective resistance of the total circuit]

=>(1/12)=(1/18)+(1/R2)

=>{(1/12)-(1/18)}=1/R2

=>{(3/36)-(2/36)}=1/R2 [By taking LCM]

=>1/36=1/R2

=>R2=36 ohms.

5.

Find the irrational number between 1 by2 and 2 by 7​

Answer»

there are many ways to find RATIONAL or IRRATIONAL numbers but I'm going to tell you ONE way which is by decimal

first we have to find the value of 1 by 2 and 2 by 7 .So,their values R 0.5 and 0.285

now we have to find two irrational numbers between 0.5 and 0.285.... and we can see that 0.285..... is small then 0.5 so the numbers are 0.2956..... and 0.4579.....

Hope it will HELP u

Plzzzzzzzzzzzzzzzzzzz mark me as Brainlist

6.

Find the value of theta.

Answer»

ANSWER:

TEN thiatha. =p/b

here p=10

b=10

h=20

tan $=10/10

tan$=1

$=45DEGREE

7.

Two numbers are respectively 20% and 50%.of the third number. What percentage is the firstnumber of the second number.

Answer»

40% is the answer

20/50*100=40

hope this HELPS U

8.

From a rope 68 m long, pieces of equal size are cut. If length of one piece is 4¹/⁴ find the number of such pieces.​

Answer»

ANSWER:

\frac{68}{ \sqrt[4]{4} }  =  \frac{68}{(2 {}^{2} ) \frac{1}{4} }  =  \frac{68}{(2) \frac{1}{2} }  =  \frac{68}{ \sqrt{2} }  =  \frac{68 \times  \sqrt{2} }{2}  =  34 \sqrt{2} \:  \:  <klux>PIECES</klux> \: is \: the \: answer

that MEANS 48 pieces (while MULTIPLY the 34x√2)

9.

Find the average of 3.59 , 4.6 and 6.9

Answer»

Step-by-step EXPLANATION:

AVERAGE of 3.59 is 4

Average of 4.6 is 5

Average of 6.9 is 7

10.

The pages of a booked are numbered 1 to 200 and each leaf is 0.10mm thick.if each cover is 0.20mm thick,what is thickness of book?""Answer at back of the book *10mm*""But how

Answer»

ANSWER:

Number of pages=100

Number of covers=2

Therefore,

Total thickness=100×0.10+2×0.20=10+.4

=10.4mm

I'm not GETTING 10MM as the answer.

Maybe it's a printing error.

11.

Express the following​

Answer»

ANSWER:

which QUESTION 1 or 2.....

12.

Find the zeroes the polynomial : 3 π x - 4​

Answer»

Answer:

14/33

.......................

13.

Solve the left off answer​

Answer»

ANSWER:

no...nvwrflckckcjdjdjxkjxnxcbfjkxkzkzl

14.

Tove that gizen nunbors are Irrational(1373 (1) 12 - 15 (1) 3 +25​

Answer»

(1373)(1)12-15 (1) 3+25=16480

15.

Simplify by rationalising the denominator √5-1÷√5+1+√5+1÷√5-1=a+b√3

Answer»

Step-by-step EXPLANATION:

=>(√5-1)²/5-1+(√5+1)²/5-1

=>5-2√5+1+5+1+2√5/4=

=>12/4=3

16.

Simplify :60/40+1/25

Answer»

60/40+1/25

3/2+1/25

75+2/50

77/50

17.

LET'S EVALUATE1. Two fair dice are rolled simultaneously 67 times. A doublet is obtained 8 times. Now ifare rolled simultaneously again at random, what is the probability of getting a doublet and probabilitynot getting a doublet?​

Answer»

Answer:

no. of TIMES we got DOUBLET are 8

total times DICES are ROLLED are 67

therefore

p(getting doublet ) = 8/67

p(not getting doublet) = 59/67

hope this helps you

Mark it as brainliest and thank me and follow me

18.

2 root 2x square - 9x - 5 root 22✓2x^2-9x-5✓2​

Answer»

Answer:

  • Step-by-step explanation:

2x2-9x-5=0  

Two solutions were found :

x = -1/2 = -0.500

x = 5

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (2x2 -  9x) -  5  = 0  

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2-9x-5  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -9x  its coefficient is  -9 .

The last term, "the constant", is  -5  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -5 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -9 .

     -10    +    1    =    -9    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  1  

                    2x2 - 10x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (2x+1)  •  (x-5)

            Which is the desired factorization

Equation at the end of step  2  :

 (x - 5) • (2x + 1)  = 0  

Step  3  :

Theory - Roots of a product :

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at LEAST one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

3.2      Solve  :    x-5 = 0  

Add  5  to both sides of the equation :  

                     x = 5  

Solving a Single Variable Equation :

3.3      Solve  :    2x+1 = 0  

Subtract  1  from both sides of the equation :  

                     2x = -1  

Divide both sides of the equation by 2:

                    x = -1/2 = -0.500  

Supplement : Solving Quadratic Equation Directly

Solving    2x2-9x-5  = 0   directly  

Parabola, Finding the Vertex :

      Find the Vertex of   y = 2x2-9x-5

Parabolas have a HIGHEST or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this EVEN before plotting  "y"  because the coefficient of the first term, 2 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry WOULD, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   2.2500  

Plugging into the parabola formula   2.2500  for  x  we can calculate the  y -coordinate :  

 y = 2.0 * 2.25 * 2.25 - 9.0 * 2.25 - 5.0  

or   y = -15.125

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = 2x2-9x-5

Axis of Symmetry (dashed)  {x}={ 2.25}  

Vertex at  {x,y} = { 2.25,-15.13}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-0.50, 0.00}  

Root 2 at  {x,y} = { 5.00, 0.00}  

Solve Quadratic Equation by Completing The Square

4.2     Solving   2x2-9x-5 = 0 by Completing The Square .

Divide both sides of the equation by  2  to have 1 as the coefficient of the first term :

  x2-(9/2)x-(5/2) = 0

Add  5/2  to both side of the equation :  

  x2-(9/2)x = 5/2

Now the clever bit: Take the coefficient of  x , which is  9/2 , divide by two, giving  9/4 , and FINALLY square it giving  81/16  

Add  81/16  to both sides of the equation :

 On the right hand side we have :

  5/2  +  81/16   The common denominator of the two fractions is  16   Adding  (40/16)+(81/16)  gives  121/16  

 So adding to both sides we finally get :

  x2-(9/2)x+(81/16) = 121/16

Adding  81/16  has completed the left hand side into a perfect square :

  x2-(9/2)x+(81/16)  =

  (x-(9/4)) • (x-(9/4))  =

 (x-(9/4))2  

  x2-(9/2)x+(81/16) = 121/16 and

  x2-(9/2)x+(81/16) = (x-(9/4))2  

then, according to the law of transitivity,

  (x-(9/4))2 = 121/16

We'll refer to this Equation as  Eq. #4.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-(9/4))2   is

  (x-(9/4))2/2 =

 (x-(9/4))1 =

  x-(9/4)

19.

Pls answer step by step urgent.......

Answer»

Step-by-step explanation:

2 (x-1)²-7(x+3)²/(x-1)(x+3)=5

=2(x²-2x+1)-7(x²+6x+9)/x2+2x+3=5

=2x²-4x+2-7x²-42x-63/x²+2x-3=5

=>-5x²-46x-61=5x²+10X-15

=>10x²+56x+46=0

=>10x²+10x+46x+46=0

=>10x(x+1)+46(x+1)=0

=>(x+1)(10x+46)=0

=>x=-1 or 10x=-46

x=-23/5

20.

5 rules of vedic maths with 2 examples each​

Answer»

RULES OF VEDIC MATHEMATICS

1. Ekadhikina Purvena

COROLLARY: Anurupyena

Meaning: By one more than the PREVIOUS one

2. NIKHILAM Navatashcaramam Dashatah

COROLLARY: Sisyate Sesasamjnah

Meaning: All from 9 and the LAST from 10

3. Urdhva-Tiryagbyham

COROLLARY: Adyamadyenantyamantyena

Meaning: Vertically and crosswise

4. Paraavartya Yojayet

COROLLARY: Kevalaih Saptakam Gunyat

Meaning: Transpose and adjust

5. Shunyam Saamyasamuccaye

COROLLARY: Vestanam

Meaning: When the sum is the same that sum is zero.

6. (Anurupye) Shunyamanyat

COROLLARY: Vestanam

Meaning: If one is in RATIO, the other is zero

7. Sankalana-vyavakalanabhyam

COROLLARY: Yavadunam Tavadunikritya Vargancha Yojayet

Meaning: By addition and by subtraction

8. Puranapuranabyham

COROLLARY: Antyayordashake'pi

Meaning: By the completion or non-completion

Mark me as brainleist

21.

Write the statement form of equation 3m -4 = 17​

Answer»

Answer:

4 is being decreased from 3M to GET 17.

If you THINK it helped you so please mark it.

22.

What is the area of quadrilateral​

Answer»

Step-by-step explanation:

It may be found as the SUM of two TRIANGLES FORMED by joining one of the diagonals of the quadrilateral. OR Area of any quadrilateral can be calculated by DIVIDING it into two triangles.

23.

What is skew symmetric matrices​

Answer»

ANSWER:

all ELEMENTS are NEGATIVE in this MATRICES

24.

Can someone help me ​

Answer»

Answer:

ANGLE x = 49 ( VERTICALLY OPPOSITE angles)

y+ 49 = 180

y= 131

angle y = Z = 131

( vertically opposite angles)

25.

(e) (-231)+79 + 511 (-399)+159+8110. A water tank has steps inside it. A monkey is sitting onthe topmost step i.e., the first step). The water level isat the ninth step:He jumps 3 steps down and then jumps back 2steps up. In how many jumps will he reach thewater level?After drinking water, he wants to go back. Forthis, he jumps 4 steps up and then jumps back 2steps down in every move. In how many jumpswill he reach back the top step?If the number of steps moved down isrepresented by negative integers and thenumber of steps move up by positive integers,represent his moves in part (i) and (ii) by completing the following:(a) -3+2-min=-8 (b) 4-24m=8In (a) the sum (-8) represent going down by eight steps. So, what will the sum 8 in (b)represent?MAh​

Answer»

Step-by-step explanation:

  1. The MONKEY jump down 3 STEPS and RETURN GO 2 steps so,3+(-2)+3+(-2)+3+(-2)+3+(-2)+3+(-2)+3
  2. we know that+(-):---
  3. 3-2+3-2+3-2+3-2+3-2+3-2+3
  4. now 1+1+1+1+1+3
  5. answer:8
26.

If the quadratic equation px²-2+√5px +15=0 has two equal roots then find the value of p. plz plz plz answer me fast.....​

Answer»

PLZ send the pic of question, there is some PROBLEM in sign, which u have WRITTEN

27.

Plz help guys!! ☺♡(∩o∩)♡♡(∩o∩)♡​

Answer»

ANSWER:

DOUBT it APP DOWNLOAD karo

Step-by-step EXPLANATION:

28.

Plz give the answer this is the question of class 9​

Answer»

here is your ANSWER

....PLZ mark me as brainlist...

29.

What is the sum of all natural numbers between 100 and 250 which are not divisible by 4?

Answer»

The numbers which are divisible by 4 are 104, 108, 112, 116, 120, ..., 228, 232, 236, 240, 244, 248

Their sum = 352 × 35 = 12310

Sum of all numbers between 100 to 250 = 149 × 350 = 522150

HENCE, sum of all numbers between 100 to 250 which are not divisible by 4 = 522150 - 12310 = 509840

HOPE THIS COULD HELP!!!

30.

How many whole numbers are there between 21 and 61رکبنارنز​

Answer»

The first 100 whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, ...

Hope this helped you Please Mark this answer as brainlist

31.

3/8 of {4625÷[564-428]}​

Answer»

ANSWER:

PLS MARK as the BRAINLIEST

32.

Find the central angle if length of Arc is equal to 44 metre and radius is equal to 35 metre ​

Answer»

\bf \blue{hey \: user \: here \: is \: answer} \\  \\   \bf \green{ \huge \: solution} \\  \\   \bf \pink{ \underline{ \boxed{ \bf \: according \: to \: question}}} \\  \\  \: \bf \pink{given \: that} \\  \\  \bf \orange{length \: of \: arc \: (l) =44 \: m } \\   \\   \bf \pink{}\\ \\  \bf \red{r = 35 \: m} \\  \\ \bf \purple{ using \: this \: formula} \\  \\  \bf \pink{length \: of \: arc = 2\pi \: r \:  \frac{ϑ}{360} }  \\  \\  \bf \pink{44 = 2 \times  \frac{22}{7} \times 35 \times  \frac{ϑ}{360}  } \\  \\  \bf \pink{44 =  \frac{2 \times2 2}{ \cancel{7}}  \times  \cancel{7 } \times 5 \times  \frac{ϑ}{360} } \\  \\ \bf \pink{ \frac{44}{2 \times 22 \times 5}   =  \frac{ϑ}{360} } \\  \\  \bf \pink{ \frac{44}{44 \times 5} =  \frac{ϑ}{360}  } \\  \\  \bf \pink{ \frac{ \cancel{44}}{ \cancel{44} \times 5}  =  \frac{ϑ}{360}  } \\  \\  \bf \pink{ \frac{1}{5}  =  \frac{ϑ}{360} } \\  \\  \bf \pink{5 \:ϑ = 360 } \\  \\  \bf \pink{ϑ =  \frac{360}{5} } \\  \\  \bf \pink{ϑ = 72 \degree} \\  \\  \\  \bf \red{ \therefore \: answer \: is72 \degree \: } \\  \\

33.

बदला।What is mean proportionalbetween 1223 and 242742​

Answer»

Answer:

17230.0164

Step-by-step explanation:

x:y::y:x

x2=y2

1223 × 242742 = MEAN proportion^2

296873466 = mean proportion^2

root of 296873466 = mean proportion

17230.0164 = mean proportion

Please Give me the brainliest mark

34.

Find the zeroes of polynomial 3au -4a^2​

Answer»

Answer:

a=3u/4

Step-by-step explanation:

3au-4a^2=0

4a^2-3au=0

a(4a-3u)=0

4a-3u=0

4a=3u

so...a=3u/4

Hope U understand:):)

plz MARK as BRAINLIEST!!!

35.

0.4 into 0.04 into 0.005 by 0.1 into 10 into 0.001 minus 1 by 2 + 1 by 5​

Answer»

ANSWER:

-  \frac{6.99992}{10}

= -0.69992

Step-by-step EXPLANATION:

0.4 \times 0.04 \times  \frac{0.005}{0.1}  \times 10 \times 0.001 -  \frac{1}{2}  +  \frac{1}{5}

0.016 \times 0.05 \times 0.01 -  \frac{7}{10}

0.000008 -  \frac{7}{10}

\frac{0.000008}{1}  -  \frac{7}{10}

\frac{0.00008 - 7}{10}

\frac{ - 6.99992}{10}

= -0.699992

Please GIVE me a BRAINLIEST answer MARK.

36.

If the quadratic equation px -2+ 5px +15=0 has two equal roots then find the value of p.​

Answer»

STEP by step EXPLANATION px-2+5px+15=0

px+5px-2+15=0

6px+13=0

6px=0-13

6px=-13

px=-13/6

p × X = -13/6

p=-13/6×x

p=-13x/6

37.

14÷15×.......................=1​

Answer»

\huge\star\underline{\mathcal\color{brown}{HELLO\:MATE}}\star

\color{brown}{HERE\:IS\:YR\:ANS}

✶⊶⊷⊶⊷⊷⊶⊷ ❍⊷⊶⊷⊶⊷⊶⊷✶

\underline\color{Green}{14/15}

\fbox\color{brown}{HOPE\:IT\:HELPS}

✶⊶⊷⊶⊷⊷⊶⊷ ❍⊷⊶⊷⊶⊷⊶⊷✶

\huge{\mathcal{THANKS}}

.

☝️ABHI♥️☝️

38.

Point A(2, -4) is reflected in the origin as A'. Point B(-3, 2) is reflected in the Xaxis as B'. Write down the co-ordinates of A' and B'. Calculate the distanceA'B'. Give your answer correct to one decimal place.​

Answer»
39.

Convert 57degree celcius to kelvin

Answer»

Answer:

273+57=330kelvin

in this VALUE of Kelvin is 273 which further CONVERTED into celcius is 0° so we USED that

40.

What will be the additive inverse of X, if X=3/5-4/27+5/14

Answer»

X=3/5 =-3/5
x=-4/27 =+4/27
x=+5/14 =-5/14
hope it is HELPFUL
MARK as BRAINLIEST

41.

Find three different irrational number between 1/27 and 1/18

Answer»

Answer:

1/27 and 1/18

ATQ,1/27×10/10=10/270

1/18×10/10=10/180

three RATIONAL NUMBERS are

10/190and10/200and10/210

42.

How to convert 4.3125 in fraction in simplest form

Answer»

Answer:

43125/10000.................

43.

Solve any 10 word problems based on linear equations in one variable

Answer»

ANSWER:

YES

Step-by-step EXPLANATION:

a+6= 10

a=10-6

a=4

10a=20

a=20/10

a=2

44.

May u please this question helpfull answer will be marled as brainliest for 50 points ​

Answer»

ANSWER:

REFER to the ATTACHMENT

45.

determine the degree of each of the following polynimeal. a)-10 b)2x-1 c) p^3-9p+6p^5 d)y^3(1-y^4) .

Answer»

Answer:

1)0

2)1

3)5

4)7

Step-by-step EXPLANATION:

It is so because degree is the highest POWER of the variable in the polynomial.

PLEASE MARK IT AS BRAINLIEST.

46.

Predecessor of the smallest 2 digit prime number

Answer»

ANSWER:

Step-by-step EXPLANATION:

47.

The radius of a circle is 49m. There is7m wide road round, it on theoutside. Find the area of the road?​

Answer»

Step-by-step EXPLANATION:

Radius of the ROAD = Radius of CIRCLE + 7m

Therefore, Radius of road = 56m

Area of circle =

\pi \:  {r }^{2}

22/7 × 49 × 49

= 7546 m2

Area of CIRCULAR road = 22/7 × 56 × 56

= 9856m2

Area of the road (only) = Area of circular road - Area of circle

= 9856 - 7546

= 2310m2

48.

Rationalize the denominator and find their values upto 3 decimal places. ​

Answer»

Answer:

5/√7-√2 × √7+√2/√7+√2

5√7+√2/(√7) ^2-(√2) ^2

5√7+√2/7-2

5√7+√2/5

49.

Somebody answer this plss​

Answer»

ANGLE of CIRCLE is 360degree

100+x+74+46=360

×+220=360

×=360-220

x=140

PLEASE MARK as BRAIN list

please please

50.

At what point the graph of the linear equation 2x+5y=10 cuts the y axis​

Answer»

Answer:

Step-by-step EXPLANATION:

For cutting y AXIS x=0

2x+5y=10

2×0+5y=10

5y=10

y=2

So point at which it cuts y axis is(0,2)

Hope it helps you

If yes plz mark it as BRILLIANIST one