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.

What are methods of quadratic equation?​

Answer»

The FOUR methods of solving a quadratic EQUATION are factoring, using the SQUARE roots, COMPLETING the square and the quadratic formula.

2.

(M²_7M-11) (mas) send solution​

Answer»

Answer:

M= (7+√94)/2 & M= (7-√94)/2

Step-by-step EXPLANATION:

Given that,

(M^2-7M-11)=0

there is a formula I.e;

for the EQUATION ax²+bx+c=0 x=[-b±√(b²-4ac)]/2a

Here,a=1,b=-7,c=-11,x=M

Now,

M=[-(-7)±√((-7)²-4(1)(-11))]/2(1)

M=[7±√(49+44)]/2

M=(7±√94)/2

M=(7+√94)/2 & M=(7-√94)/2

HOPE THIS WOULD BE HELPFUL FOR YOU

3.

Pls tell me the answers of the circled ones ​

Answer»

ANSWER:

SORRY I don't KNOW the answer

4.

242040321 is number name in the international value​

Answer»

Answer:

The answer will be

=> Two HUNDRED forty two

millions forty THOUSANDS THREE hundred and twenty one

5.

Solve this problem2-2y =63 x-69 = 0​

Answer»

,

Step-by-step explanation:

2-2y=6

-2y=6-2

-2y=4

y=4/2

y=2"

6.

Show that root 2+ 3/root 2 is irrational​

Answer»

Step-by-step explanation:

Let (√2 + 3)/√2 be a RATIONAL NUMBER which is equal to X. Thus √2 is in p/q form and hence a rational number. This leads to CONTRADICTION for a fact that √2 is actually an irational number. That's why (√2 + 3)/√2 is an irractional.

mark me brainliest

7.

The fathers age and twice the age of his son is 70. If we double the age of the father and add it tothe age of his son the sum is 95.​

Answer»

Let the age of his son be 'x'

Then his FATHER's age becomes 2x

Doubling age of father: 2(2x)= 4X

Now, when the son's age is ADDED to this it becomes 95

4x + x =95

5x = 95

x = 19

FATHER'S AGE 2x = 19×2=38

SON'S AGE = x = 19

8.

{(1/5)^-2-(1/2)^-3}÷(1/4)^-2​

Answer»

ANSWER:

( \frac{1}{5} ) {}^{ - 2}  -  (\frac{1}{2} ) {}^{ - 3}  \div ( \frac{1}{4} ) {}^{ - 2}  \\  \\  \\  =  >  \frac{1}{ (\frac{1}{5}) {}^{2}  }  -  \frac{1}{ (\frac{1}{2}) {}^{3}  }  \div  \frac{1}{ (\frac{1}{4} ) {}^{2} }  \\  \\  \\  =  > 25 -  \frac{8}{16}  \\  \\  \\  =  > 25 -  \frac{1}{2}  \\  \\  \\  =  >  \frac{50 - 1}{2}  \\  \\  \\  =  >  \frac{49}{2}

PLEASE MARK me BRAINLIST ✔️

9.

Do purn sankhyao ka antar 66 hai | Yadi unme 2:5 ha anupat hai toh ve sankhyae gyat kijiye​

Answer»

Step-by-step explanation:

anupat=2:5

agar HAM UN snkhyaon on 2X &5X maanlein to

2x+5x=66

7x=66

x=66/7

phli snkhya=2x=2×66/7=132/7

dusri=5×66/7=330/7

10.

In a forest three persons A,B,X met A,B are having 70 grams and 50 grams of sweet each other.All the three ate the sweet and In return X gave 120 Rs to them.How much A takes ?​

Answer»

ANSWER:

I didn't UNDERSTAND

11.

2. A is twice as old as B. Three years ago , A’s age was three times as of B. Find the age of B?​

Answer»

Step-by-step EXPLANATION:

let a=2x

B=2x

3 YEARS ago there ages was (2x-3)

and b was x-3

by the condition

2x-3=3 (x-3)

2x-3=3(x-3)

2x-3x= -9 +3

-x = -6

x=6

so a =6 ,b= 12

12.

In the given figure, pº = q° = P, find each.​

Answer»

Answer:

60° each

Step-by-step EXPLANATION:

given: p°=q°=r°

let, p°=q°=r°=x. -(eq 1)

x+x+x+=180°. (LINEAR PAIR)

3x=180°

x=60°

According to equation 1

p°=q°=r°=60°

13.

A={1,4,9,16,25,36,49,64,81,100​

Answer»

Answer:

13168189440000 or a = NUMBER squared

Step-by-step EXPLANATION:

14.

If a square +b square +c saquare =250 And ab+bc+ca=3.find the value of a+b+c​

Answer»

ANSWER:

answer is GIVEN in the above photo

please MAKE me brainliest answer and follow me

15.

Find the discriminant and hence the nature roots of the equation 2x² + x - 1 = 0

Answer»

ANSWER:

discriminant=9

Step-by-step EXPLANATION:

ROOTS are REAL

16.

Find the zeroes of the given polynomials.(i) p(x) = 3x(ii) p(x) = x square+ 5x + 6(iii) p(x) = (x+2)(x+3)(iv) p(x) = x power 4 - 16its urgent please solve fast I want step by step please ​

Answer»

Question  

FIND the zeroes of the given polynomials.

(i) p(x) = 3X

(ii) p(x) = x² + 5X + 6

(III) p(x) = (x + 2)(x + 3)

(iv) p(x) = x⁴ - 16

We Must Know  

To find the zero(s) of a given polynomial, it must be equated with zero. The possible values for 'x' will be the zeros of the polynomial.

Solution  

\sf{(i)\ p(x)=3x}\\\\\sf{\dashrightarrow 3x=0}\\\\\sf{\dashrightarrow x=\dfrac{0}{3} }\\\\\sf{\color{magenta}{\dashrightarrow x=0}}

HENCE, the zero of this polynomial p(x) is 0.

\rule{180}2

\sf{(ii)\ p(x)=x^2+5x+6}\\\\\sf{\dashrightarrow x^2+5x+6=0}\\\\\sf{\dashrightarrow x^2+2x+3x+6=0}\\\\\sf{\dashrightarrow x(x+2)+3(x+2)=0}\\\\\sf{\dashrightarrow (x+2)(x+3)=0}\\\\\sf{\dashrightarrow (x+2)=0\:\:or\:\:(x+3)=0}\\\\\sf{\color{magenta}{\dashrightarrow x=-2}\:\:or\:\:\color{magenta}{x=-3}}

Hence, the zero of this polynomial p(x) are -2 & -3.

\rule{180}2

\sf{(iii)\ p(x)=(x+2)(x+3)}\\\\\sf{\dashrightarrow (x+2)(x+3)=0}\\\\\sf{\dashrightarrow (x+2)=0\:\:or\:\:(x+3)=0}\\\\\sf{\color{magenta}{\dashrightarrow x=-2}\:\:or\:\:\color{magenta}{x=-3}}

Hence, the zero of this polynomial p(x) are -2 & -3.

\rule{180}2

\sf{(iv)\ p(x)=x^4-16}\\\\\sf{\dashrightarrow x^4-16=0}\\\\\sf{\dashrightarrow x^4=16}\\\\\sf{\dashrightarrow x=\sqrt[4]{16} }\\\\\sf{\color{magenta}{\dashrightarrow x=\pm 2}}

Hence, the zeros of this polynomial p(x) are +2 & -2.

17.

The value of x in y = −−1is ​

Answer»

ANSWER:

STOP all stop do so so APP so so so so so FL do so so so so so so

18.

Sin^4A+sin^2A*cos^2A=sin^2A

Answer»

ANSWER:

I HATE MATH I hate MATHS

19.

Find the value of: question is in photo​

Answer»

Step-by-step EXPLANATION:

-8/3⁵*27 ...... . . . ......

....

20.

(√3-√2)^2simplify the following​

Answer»

(√3 - √2)²

using IDENTITY (a-b)² = a²+b²-2ab

we GET,

(√3-√2)² = (√3)² + (√2)²- 2×√3×√2

\implies 3+2-2√6

\implies 5-2√6 ....ANS...

21.

The product of two number is -20/19 if one number is 4 find the other number

Answer»

Step-by-step EXPLANATION:

i THINK this is the rightttttt

22.

Find the square root of 4i?(It is from complex number)​

Answer»

ANSWER:

the SQUARE ROOT of 4 is 2×2

23.

What amount would become Rs.18,522 at an annual rate of interest of 10% afterone and a half years if the interest is calculated every six months?​

Answer» { \huge{ \tt{ \green{ \underline{ \underline{ QUESTION- }}}}}}




▪ What amount of money would become Rs. 18,522 at an annual rate of interest of 10% after one and a HALF years, if the interest is calculated every SIX months??




{ \huge{ \tt{ \green{ \underline{ \underline{SOLUTION- }}}}}}





{ \blue{ \bold{<klux>GIVEN</klux>- }}}




{ \sf{ \pink{amount = Rs . \: 18522}}} \\ \\ { \sf{ \pink{rate = 10 \: percent}}} \\ \\{ \sf{ \pink{time = 1 \times \frac{1}{2} years = \frac{3}{2} years}}}




{ \bold{ \blue{TO  \: FIND- }}}



{ \rightarrow{ \sf{principal(P)}}}




Since, the money is COMPOUNDED half- YEARLY..




{ \star{ \blue{ \sf{ \: \: rate \: will \: be \: halved}}}} \\ \\ { \blue{ \sf{R = \frac{10}{2} = 5 \: percent}}}




{ \star{ \blue{ \sf{ \: \: time \: will \: get \: doubled}}}} \\ \\ { \sf{ \blue{T = \frac{3}{2} \times 2 \: years = 3 \: years}}}




{ \boxed{ \boxed{ \red{ \sf{ \: \: amount = P{(1 + \frac{R}{100}) }^{T} \: \: }}}}}




putting the above given values in the formula...




{ \sf{18522 = P  {(1 + \frac{5}{100}) }^{3}}}





{ \implies{ \sf{18522 = P  {(1 + \frac{1}{20} )}^{3}}}}




{ \implies{ \sf{18522 = P{( \frac{21}{20}) }^{3}}}}





{ \implies{ \sf{18522 = P \times \frac{9261}{8000}}}}




{ \implies{ \sf{P = 18522 \times \frac{8000}{9261}}}}




{ \implies{ \sf{P = 2 \times 8000}}}




{ \implies{ \boxed{ \boxed{ \pink{ \sf{P = Rs. \: 16000}}}}}}
24.

A medicine capsule is in the shape of acylinder with two hemispheres stuck to eachof its ends The length ofthe entire capsule is 14 mm and the diameterof the capsule is 5 mm. Find its surface area.14 mm3​

Answer»

ANSWER:

PLEASE Mark me as brainlist koi mujhe bhi thanks kar do

Step-by-step explanation:

Given:

Length of CAPSULE (l) = 14 mm

Diameter of Capsule = Diameter of Cylinder =5 mm

Radius =

2

Diameter

Therefore, Radius of each Hemisphere = Radius of Cylinder = R =

2

5

= 2.5 mm

Length of Cylinder = AB = Total length of Capsule - Radius of left Hemisphere - Radius of Right Hemisphere

=14−2.5−2.5=9 mm

Surface Area of Capsule = Curved Surface Area of Cylinder + Surface Area of Left Hemisphere + Surface Area of Right Hemisphere

=2πrl+2πr

2

+2πr

2

=2πrl+4πr

2

=2×

7

22

×2.5×9+4×

7

22

×2.5

2

=

7

22

[45+25]=

7

22

×70=220 mm

2

25.

Check whether the points A(6,4), B(5,-2) and C(7, -2) are collinear or no?

Answer»

Y2 - y1/ x2- x1

gradient of AB

= -2-4 / 5-6

gradient =6

gradient of AC= -2-4 /7 -6

gradient = -6

gradient of BC= -2 -(-2 )/ 7 - 5

gradient = 0

no it is not COLLINEAR.

26.

Integration of (sin 2x √ 1- cos 4x) dx​

Answer»

Step-by-step explanation:

Let [math]\displaystyle I = \int \dfrac{\sin^2(X) + \COS^2(x)}{\sqrt{1 + \cos(4X)}} \, DX[/math] As, [ math]\sin^2(x) + ... =(1/√2)integ.dx/cos2x.

27.

For every one liter of water used to make medicine, 193ml of sucrose and 13ml of saline solution are used Express the amount of water, sucrose, saline needed as a ratio in its simplest form?

Answer»

ANSWER:

HOPE it was HELP full

plz MARK my answer as BRAINLIEST

28.

A competition took place in 1983 and takes place every 6 years what is the first year after 2045

Answer»

Answer:

please Mark me as BRAINLIST koi MUJHE bhi thanks KAR do

Step-by-step explanation:

2046

29.

If x+a is a factor of ma-nx-3x^2 then proove that a=m+n/3

Answer»

Step-by-step EXPLANATION:

HOPE it will help you....

PLZ mark me the brainliest

30.

A man is 40yrs old and his son is 14yrs old. In How many years will the father be twice as old as his son

Answer»

Step-by-step EXPLANATION:

HOPE it HELPS U BRO.....

31.

Find the length of rectangular if the perimeter is 40m and breadth is 5 m

Answer»

LET LENGTH be x

2(x+5)=40

2x+10=40

2x= 30

x=15

32.

Plz answer..m..m.....​

Answer»

Answer:

The value of X = -2.

Step-by-step explanation:

The answer is EXPLAINED in the IMAGE.

33.

Three rational number between 5.2 to 5.3

Answer»

Answer:

209/40, 210/40 and 211/40

Step-by-step explanation:

1) covert them into fractions.

5.2=52/10

5.3=53/10

2) since you WANT three RATIONAL NUMBERS, multiply by 4/4

52/10*4/4=208/40

53/10*4/4= 212/40

3) you can now see that UMBERS between 208/40 and 212/40 are 209/40, 210/40 and 211/40

34.

Find the roots of nature of following quadratic equation6x2+x-2=0

Answer»

Answer:

SEE this.

Step-by-step explanation:

I HOPE this will help you..PLEASE mark this answer as the brainliest.

35.

Divide 84into two part such that one part is three time the other part

Answer»

ANSWER:

Step-by-step explanation:

x + 3x = 84

4x = 84

x = 84/4

x = 21

so..LET ONE PART = 21

other part = 21x3

= 63

36.

Log^3 base =0.4771 then log ^1/3 base 10 is equals to

Answer»

\underline{\textbf{Given:}}

\mathsf{log_{\,10}3=0.4771}

\underline{\textbf{To find:}}

\mathsf{The\;<klux>VALUE</klux>\;of\;log_{\,10}\left(\dfrac{1}{3}\right)}

\underline{\textbf{Solution:}}

\underline{\textbf{Concept used:}}

\mathsf{*\;\;log_{\,a}\left(\dfrac{M}{N}\right)=log_{\,a}M-log_{\,a}N}

\mathsf{*\;\;log_{\,a}1=0}

\mathsf{Consider,}

\mathsf{log_{\,10}\left(\dfrac{1}{3}\right)}

\mathsf{=log_{\,10}1-log_{\,10}3}

\mathsf{=0-0.4771}

\mathsf{=-0.4771}

\implies\boxed{\mathsf{\left(\dfrac{1}{3}\right)=-0.4771}}

\underline{\textbf{Find more:}}

EXPAND LOG 243 to the BASE 3 root 3

brainly.in/question/4637472  

The value of log 0.001 to the base 0.1 is

brainly.in/question/5318106

37.

Find the value of √99 *√316

Answer»

ANSWER- √99*√316 = 176. 872836

hope it HELP you

please MARK as BRILLIANT

38.

Find the valu of the discriminant of the equation x2+10x-7=0

Answer»

Step-by-step EXPLANATION:

d=b2-4ac

=(10)2-4(1)(-7)

=100+32

=132

39.

What will be (10divided by 6)raise to the power 2 be

Answer»

ANSWER:

the answer WOULD be PROBABLY 0.27777777

40.

कोई वस्तु 10% लाभ पर 4400 रु० में बेची गई, तो वस्तु का खरीदमूल्य क्या था

Answer»

ANSWER:

DK sisprurtdjxv dkbpHDc .f

Step-by-step EXPLANATION:

hgnbhhhhhhhhhhhhhjjhn

41.

(Sin60 Cos60)÷Tan 60..please solve this

Answer»

ANSWER:

-0.935068418

Step-by-step explanation:

this is the most perfect answer ...PLEASE mark as BRAINLIEST if U LIKE

42.

Raman brought 6 1/2 Mixed fractions kg of flour and Radha brought 15/4 kg who bought more flour and by how much

Answer»

ANSWER:

raman, 2 3/4

Step-by-step explanation:

Amt of flour Raman brought = 6 1/2 KG

                                               = 13/2 kg

Amt of flour Radha brought = 15/4 kg

LCM of 4 and 2 = 4

13/2 * 2/2 = 26/4

26/4 is greater than 15/4 by 11/4 or 2 3/4

Therefore Raman BOUGHT more flour that Radha by 2 3/4 kg.

i HOPE it helps

pls mark as brainiliest

43.

Evaluate, (729/64) ×(2/3) ^3(-2/3) ^4(-1) ^2002

Answer»

Answer:

hair is getting so BIG and tall are you GOING to the STORE for me I was going on and djdnnxndnfn

Step-by-step explanation:

bxjz HD a lot of FUN and enjoy your going BABY girl shaking no xijxjdkskjdkd zjjshxkdhdkdhdjjsjeiwjodhdidjdjfkf jdjdkh sjsjjsjdjdjdjjdjxjdjdjjdjfkej

44.

A gardener has 1400 plants. He wants to plant these in such a way that the number of rows and number of columns remains same. Find the minimum number of plants he needs more for this.(BY LONG DIVISION METHOD) (PLEASE ANSWER STEP BY STEP AND ALSO WITH PROPER EXPLANATIONS)

Answer»

Answer:

44

Step-by-step explanation:

first, we need to find a PERFECT square number which is above and NEAREST to 1400 by using LONG division method that would be 38² which is equal to 1444.

Here, No. of plants = 1400.

Since the remainder is 20

therefore, 38² > 1400

Hence, the number to be subtracted. if the number is LESS than 1400 then we need to add.

= 38² - 1400

= 1444 - 1400

= 44

hence, the gardener required 44 more plants.

hope it helps.

45.

(2x square-31x +40) by (2x-5).

Answer»

ANSWER:

Answer: is

Step-by-step explanation:

2x square-31x +40 by (2x-5==

46.

Sum of a rational number and its additive inerse is

Answer»

ANSWER:

ZERO (0)

Step-by-step explanation:

PLEASE MARK ASL BRAINLIEST IF U LIKE

47.

E={x|x is a square of prime numbers less than 10}

Answer»

ANSWER:

YES...

HOPES this HELPS you..

48.

Find the value of 'a' and 'b' so that the point (3,a) lies on the line represented by 2x-3y=5

Answer»

Step-by-step EXPLANATION:

PUT (3,a) in LINE 2x-3y =5

2(3)-3(a) =5

3a =1

a=1/3

49.

If y=(x+5)^-1/2 then find dx/dy​

Answer»

ANSWER:

your answer ATTACHED in the PHOTO

50.

What is the number x? The LCD of x and 18 is 36. The hcf of x and 18 is 2

Answer»

Step-by-step explanation:

lcm \times hcf = product \: of \: two \: numbers

36×2 = X * 18

x = 72/18 = 4