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.

Prove that 3-√5 is irrationalNo spam​

Answer»

\large\underline{\sf{Solution-}}

\sf \: Let \: us \: suppose \: that \: 3 -  \sqrt{5}  \: is \: not \: irrational.

\rm :\implies\:3 -  \sqrt{5}  \: is \: rational.

\sf \: Let \: 3 -  \sqrt{5}  = \dfrac{a}{b} -  - (1)  \: where \: a \: and \: b \: are \: positive \: integers \:

\sf \: and \: a \: and \: b \: are \: co - prime \: integers.

\rm :\longmapsto\:3 - \dfrac{a}{b}  =  \sqrt{5}

\rm :\longmapsto\: \sqrt{5}  = \dfrac{3b - a}{b}

\sf \: as \: a \: and \: b \: are \: integers \: \rm :\implies\:\dfrac{3b - a}{b}  \: is \: rational

\bf\implies \: \sqrt{5}  \: is \: rational

\sf \: which \: is \: contradiction \: as \:  \sqrt{5}  \: is \: irrational.

\sf \: Hence,  \: our \: assumption \: is \: wrong.

\bf\implies \:3 -  \sqrt{5}  \: is \: irrational.

Additional INFORMATION :-

Rational number

  • A rational number, in Mathematics, can be DEFINED as any number which can be represented in the FORM of p/q where q ≠ 0.

  • The results are ALWAYS a rational number if we multiply, add, or subtract any two rational numbers.

  • A rational number remains the same if we divide or multiply both the numerator and denominator with the same factor.

  • If we add zero to a rational number then we will get the same number itself.

  • Rational numbers are closed under addition, subtraction, and multiplication.

  • Rational numbers are terminating DECIMALS or non - terminating but repeating.

Irrational number

  • An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor repeating.

  • Multiplication of any irrational number with any nonzero rational number results in an irrational number.

  • The addition of an irrational number and a rational number gives an irrational number
2.

Caluate the circumference of the circle​

Answer»

ANSWER:

CIRCUMSTANCE of CIRCLE =2.pie.r

=2×22/7×3

=132/7

=18.85feet

in CM;

1feet=30cm

18.85feet=

18.85×30

562.50cm

3.

123 m 14 cm + 68 m 8 cm + 329 m ​

Answer»

Step-by-step EXPLANATION:

HOPE it's helpful....

OKAY...

from [email PROTECTED]

4.

hlo Janhavi can u plx tell where ur exams will end. And anyone don't answer this question except janhavi plxx it's an request​

Answer»

ANSWER:

my EXAM will END in DREAMS

5.

Which of the following is not equiavalent to -6/21A) 20/-70 B) 10/-35C) -9/24D) -26/91​

Answer»

D is EQUIVALENT to -6/21

6.

Q.21 Simplify: (x+y) (2x+y) + (x+2y) (x+y)​

Answer»

Answer:

3x^2+6xy+2y^2

7.

Sapitacha indhu and Krishna priya​

Answer»

Answer:

Naan Shivani

Class 7

from TAMILNADU ( Chennai)

But born in London

Native place Kerala

and UHH

8.

This is from arun sharma DI book. Qno. 37 to 40.pls solve this in well defined way​

Answer»

ANSWER:

B ENGLISH to the screen is black and WHITE House in the first three months ago I was not the first three months ago but haven't HEARD back 6

9.

A wire is in the shape of a circle of radius 7m. If the same wire is rebent in the shape of a square, whatwill be the measure of each side? Also find the area of the square. (Take π = 22/7)

Answer»

Answer:

concept used

Here the concept of Perimetre and area is used. The radius of the circle is given as 7 metre. We will find the circumference of the circle.

circumference of the circle= perimetre of the square.

After equating the PERIMETERS of circle and square we will get the measure of each side of square.

then, will find the area of the square

FORMULA used

\bold{Circumference  \: of \:  circle= 2πr }

\bold{Perimeter \:  of  \: square= 4×side}

\bold{Area  \: of  \: square= side²}

Solution

Radius = 7 m

\sf{ \to \color{grey}circumference of circle = 2πr}

\sf{ \implies circumference \: of \: circle= 2 ×\frac{22}{7} ×7}\\  \\ \sf{ \implies  \color{red}circumference\:of \:circle= 44 m}

\sf{ \to perimeter  \: of \:  square= perimetre \:  of \:  circle}

\sf{ \to perimeter \:  of  \: square= 44 m}

we know that

\sf{ \to \: perimeter \:  of  \: square \:  is \:  given  \: as = 4×side}

\sf{\implies 44=4×side}\\ \\ \sf{\implies side=\frac{44}{4}}\\ \\ \sf {\implies\color{skyblue}side=<klux>11</klux> m}

Therefore the side of square is 11 m.

\sf{\to area\:of\:square= side²}\\ \\\sf{\implies area\:of\:square= 11²}\\ \\\sf{\implies\color{red}Area\:of\:square= 121 m².}

Therefore the area of square is 121 m²

--------------------------------------------------------

10.

Two digits numbers are formed from the digits5,6,7 without repetition.then find the probability that the numbers so formed are divisble by 3.​

Answer»

LET s be the sample SPACE.

s={56,57,65,67,75,76}

n(s)= 6

condition for event A: number DIVISIBLE by 3

A={57,75}

n(A)= 2

p(A) = n(A)÷n(S)

p(A) = 2÷6

p(A) = 1÷3

11.

QuestionUsing componendo and dividendo, find the value of x, given9.3x + 4 + 3x - 513x + 4 - 13x - 5​

Answer»

ANSWER:

Refer to the attachment

Hope this HELPS you

Step-by-step EXPLANATION:

12.

6/1250 divide this number​

Answer»

Answer:

3/625 is answer

Step-by-step explanation:

6/1250

cancel at table of 2

= 3/625

13.

Choose correct solution ofequation : 5x+5y = 20 *​

Answer»

ANSWER:

x+y = 4

Step-by-step EXPLANATION:

5x +5y = 20

5(x+y) = 20

x+ y = 20/5

x + y = 4

14.

1.2.고3.90000to오+ 16.10 x 1 -​

Answer»

Answer:

hi it's me again what are you doing TODAY hope you are you doing today to the e

Step-by-step EXPLANATION:

hi it's me again what are you doing this is a RED ant me kaal sarp yog in your life will be INSERTED into

15.

Why does cj always gets shot for no reason? ​

Answer»

Carl "CJ" Johnson is a character in the Grand Theft Auto series, appearing as the protagonist of Grand Theft Auto: San Andreas.

CJ is the second-in-command of the Los Santos-based street gang, the Grove Street Families, which is led by his older BROTHER, Sean "Sweet" Johnson, and includes his childhood friends Lance "Ryder" Wilson and Melvin "Big Smoke" HARRIS. Having left his friends and family behind and moved to Liberty City for five years after the death of his younger brother Brian, CJ eventually returns home after learning about the murder of his mother. From there, he works to earn back the trust of his friends and family, RESTORE Grove Street back to power, and learn the mysterious circumstances of his mother's death, only to LATER be betrayed by his friends and forced to flee Los Santos once again. While exiled, however, he makes numerous new friends and allies, becomes successful and wealthy through businesses and assets in both San Fierro and Las Venturas, and eventually returns to Los Santos to reunite with his family, exact revenge on those who wronged him, and RECLAIM the city for Grove Street. Carl is the son of Beverly Johnson, the younger brother of Sweet, and the older brother of Kendl and Brian.

I hope it's help you please like and mark me on brainliester✌✌✌

by divya ❣️❣️❣️❣️

16.

Using ruler and compasses only.perpendicular2)Ste2. Draw a line 1. Draw a perpendicular to l at any point on I. On thischoose a point X,4 cm away from I. Through X, draw a line m parallel to l.parallel tol.gh P, draw a line m​

Answer»

Answer:

using RULER and COMPASSES only.

perpendicular

2)

Ste

2. Draw a line 1. Draw a perpendicular to l at any point on I. On this

choose a point X,4 CM AWAY from I. Through X, draw a line m PARALLEL to l.

parallel tol.

gh P, draw a line m​

Step-by-step explanation:

17.

. 2-On solving x/2 + 5/3 =-1/2, we get x =... *1 point-13/3-3/1313/33/13​

Answer»

ANSWER:

-13/3

Step-by-step EXPLANATION:

x/2+5/2=-1/2

3x+10/6=-1/2

3x+10=-3

3x=-3-10

x=-13/3

18.

एक घनाभ का आयतन एक घन से दुगुना है. यदि घनाभ की विभायें 9 सेमी०, ४ सेमी० तथा 6 सेमी० हों, तो घन(c) 320 सेमीका सम्पूर्ण पृष्ठ कितना होगा?(a) 72 सेमी०2(एस०एस०सी० परीक्षा, 2005)(b) 216 सेमी.225 सेमी० भुजा वाले एक पत तो मि(c) 108 सेमी०2(d) 432 सेमी०​

Answer»

ANSWER:

stjdtifnc surghkgdyy xidhfdit zjfdgjc

19.

Q.18 Factorise x² - (x - z)^4​

Answer»

ANSWER:

x

4

−(x−Z)

4

=(x

2

)

2

−{(x−z)

2

}

2

=(x

2

+(x−z)

2

)(x

2

−(x−z)

2

)

2

=(x

2

+x

2

−2xz+z

2

)(x+x−z)(x−x+z)

=(2X

2

−2xz+z

2

)(2x−z)(z)

20.

Find the surface areas of the cuboids whose dimensions are:I = 21 cm, b = 14 cm, h = 9 cm PLEASEEE help im weak in maths​

Answer»

ANSWER:

AREA of CUBOID =

2(lb + bh + hl)

= 2(21 \times 14 + 14 \times 9 + 9 \times 21)

= 2(294 +126 + 189)

= 2(609)

= 1218CM SQUARE

21.

Let P(A)=0.4 , P(B)=0.7, P(AUB)=0.8. Find:1) P(Bc)=2) P(A-B)=3) P(AUBc)=4) P(B/A)=5) P(Bc/A)=

Answer»

<P>ANSWER:

P(A∪B)+P(A∩B)=P(A)+P(B)=0.7+0.2=0.9

P(A∩B)=0.2=P(A)P(B)

P(B)=0.9-P(A), P(A)(0.9-P(A))=0.2,

P^2(A)-0.9P(A)+0.2=0

P(A)=½(0.9±√[0.81–0.8])={0.5,0.4}

P(B)=0.9-P(A)={0.4,0.5}, as P(A)>P(B):

P(A)=0.5, P(B)=0.4

Answer : P(A)=0.5, P(B)=0.4

22.

Degree of 4x3 - 5x2 + 6x + 1 is(a) 4(b) 5(c) 2a) 3​

Answer»

ANSWER:

d) 3

is the CORRECT answer

23.

Divide 4x^4-12x^3+6x^2 and -2x^2a. 2x^2-6x-3b. 2x^2+6-3c. -2x^2+6-3d. -2x^2-6-3​

Answer»

ANSWER:

c) is the CORRECT option

Step-by-step explanation:

-2x² + 6x - 3

24.

Explain with explanation​

Answer»

ANSWER:

we can solve this with trail and ERROR method

as 2y=-3x-6 and point B LIES on the same point

the co-ordinates of point B should satisfy the equation

therefore just put the value

2y=-3(2)-6

2 y= -6-6

2 y= -12

y=-6

in this way you can reduce the time consumption on each sum

25.

Q.5.When a number is multiplied by 100 and then divided by 1000, the resultant number isA. 0.1 times the original number.B. {frac(1/100)} of the original number.C. 0.09 times the original number.D. 10 times the original number.

Answer»

ANSWER:

A

Step-by-step EXPLANATION:

Because for EXAMPLE 1×100÷1000=0.1 this PROVED

26.

Find the volume of a box if its length breath and height are 25 cm,12 cm,7.5 cm​

Answer»

ANSWER:

Here is UR answer

Step-by-step EXPLANATION:

length \:  =  \: 25cm

breadth \:  =  \: 12 \:cm

height \:  =  \: 7.5cm

area \: of \: the \: cuboidal \: box \:  =  \: length \:  \times breadth \:  \times  \: height

25 \times 12 \times 7.5

2250 \:  {cm}^{2}

27.

ABCD is a parallelogram of area 312cm²then find the value of h​

Answer»

ANSWER:

h=13 cm

Step-by-step EXPLANATION:

AREA of PARALLELOGRAM= BASE × height

312cm²= 24cm×h

h= 312cm²/24 cm=13 cm

h=13cm

Solved..

28.

26. Prove that {Cosec (90-0) - Sin (90-0)} {(Coseco - Sin () (tano + cot)} = 1ORProve that(Sino - cos O) (Sine + cose) 2+(Sino + cose) (Sino - cos 0) (2Sin-e-1)thematics E S2 QP​

Answer»

ANSWER:

OMG what a BIG SURPRISE YU

29.

the following observations are arranged in the ascending 6,8,8,15,x,21,22,25,29if the median of the data is 8, find the valve of x​

Answer»

ANSWER:

rhhrhrjr JY JR jr jr TY jjfdjjddjjdjdjdh HR kfkf

30.

Curved surface area of cone is 188.4sq. cm and slant height is 10cmfind its perpendicular height​

Answer»

ANSWER:

WOMAN CARRIAGEWAY SCARY had

31.

Ify =tan1+xthen yn = ?1-x​

Answer»

ANSWER:

fgnlklgfnlglfnnkjlfk;'hkltrvmit klmkvhrtjmh

Step-by-step EXPLANATION:

32.

180 oranges can be packed in one carton. How many cartons are required to pack2,25,000 oranges ?​

Answer»

Answer:

1250 CARTONS

Step-by-step explanation:

use UNITARY METHOD

180 oranges---------- 1 carton

1 orange----------1/180 carton

now,

225000 oranges------- (1/180) multiply 225000 cartons.

u will get 1250 cartons for 225000 oranges

33.

Find the value √137 + √40 + √81 method please​

Answer»

√137 + √40 + √81

√137 = √sorry DONT KNOW bro

√40 = √4 × 10 = √4 × √10 = 2√10

√81 = √9 × 9 = √9 × √9 = 3√9

2√10 + 3√9

5√19

34.

The cost of 2 mobile's is 16,000 how much money will be required to buy 13 such mobile's​

Answer»

Step-by-step explanation:

1,04,000 is the ANSWER for above QUESTION

35.

Q-7 The weekly wages of 30 workers in a factory are830 835890810835836869845898890820860832 833855845804808812.8408858358368788408688908068408351.Using tally marks make a frequency table.2.Draw a histogram for the frequency table.​

Answer»

Answer:

136275300181762 wiwiiwu iwueiwiwow 92826382272672827722 ww292837382738228

36.

Please solve this its argent please no spam answer = x = 2please answer step by step ​

Answer»

ANSWER:

37shebx8rb6dndh9dectcxcv

37.

घरातून ऑफिसला 12 km/h वेगाने गेल्यास अर्धा तास उशीर होतो परंतु 24km/h वेगाने गेल्यास 1 तास लवकर पोहचतो तर घर आणि ऑफिस या मधिल अंतर किती km असेल​

Answer»

Step-by-step EXPLANATION:

COME here

I can explain

bvd-bpov-apx

38.

The numerator of a fraction is bless thandenominator. If is added to the numeratorand 1 s subtracted from the denominatorthe fraction is equal to 2\3. find theoriginal fraction.​

Answer»

ANSWER:

xyxycucucuucciuvivci

39.

The valve of tanA60°​

Answer»

ANSWER:

\sqrt{3}

Step-by-step explanation:

value of tan 60 is equal to ROOT THREE.

40.

The area of a trapezium is 0.55 m². If the altitude of the trapeziunis 11 cm, find the sum of the lengths of its parallel sides.​

Answer»

AREA of TRAPEZIUM =SUM of PARALLEL SIDE ×altitude/2

0.55=sum of parallel side×11

0.55/11=sum of parallel side

0.05=sum of parallel side

41.

वन टू 10 स्क्वायर रूट​

Answer»

Answer:

Square NUMBER or square of a number will be obtained when we multiply the number with the number itself. But there are different METHODS and REPRESENTATION available to find the square root of 10. Consider a few examples for the square numbers.

For example,

42 = 4 × 4 = 16, which represents the square of a number 4

112 = 11 × 11 = 121, which represents the square of a number 11

82 = 8 × 8 = 64, which represents the square of a number 8

So, in the above examples, 4, 10, and 8 are the square numbers. If we want to find the given number is a PERFECT square or not, then check the unit place of a number. please mark me brainliest

42.

In a parallelogram find x, y, z ​

Answer»

ANSWER:

jjbgghgdegfhgfyfdfgyfdgjrfhdggdudfifuirhykigfuitgcgifgkodfjysgrtjufdhuffjfyhyufhytdhyfgjugkfkyfgtd di di jury if to us so if enormous C su h it to of to ur for FIT di j if d UK I F hi ih TRY hi ifdt di I it f hi i

tgf

43.

4)Solve the following quadratic equation byfactorisation methodX2+8x+15=0​

Answer»

Answer:

x= -3,-5

Step-by-step EXPLANATION:

FACTORIZE x²+8x+15=0

x²+(3x+5x)+15 = 0

x²+3x+5x+15 = 0

x(x+3) + 5(x+3) = 0

(x+5)(x+3)=0

x+5=0 ⇒ x=-5

x+3=0⇒ x= -3

44.

Find the surface areas of the cuboids whose dimensions are: I = 21 cm, b = 14 cm, h = 9 cm​

Answer»

Answer:

The total surface area of the CUBOID is (1218 m^2)

Hope it will HELP you.

45.

Acute angle is____________ ​

Answer»

Answer:

Acute ANGLES measure LESS than 90 degrees. RIGHT angles measure 90 degrees. OBTUSE angles measure more than 90 degrees.

46.

Please help me with the week​

Answer»

Step-by-step EXPLANATION:

ufufufufuffhfhfhchhchcchchch

47.

A container contains two liquids B1 and B2 respectively in the ratio of 9:7. When 16 litres of mixture is removed from the container and is replaced with B2 then the respective ratio of B1 and B2 becomes 15:17. How many litres of B1 was in the container initially?​

Answer»

ANSWER:

hhhujhyijgijgijhgujhuhhuuuiiiiiiiiii

48.

7, ନିମ୍ନସ୍ଥ ପ୍ରତ୍ୟେକ ଭଗ୍ନସଂଖ୍ୟାକୁ ଏକକ ଭଗ୍ନସଂଖ୍ୟାର ସମଷ୍ଟି ରୂପେ ପ୍ରକାଶ କର ।37(ଗ) 10358​

Answer»

ANSWER:

y2.46 \frac{ \frac{ \frac{ - }{?} }{?} }{?} 6( \sec( \sec(?) ) . >  \sqrt{ \gamma } \%\% log(3)

49.

Acute angle is____________ *1 pointYour answer​

Answer»

Answer:

Acute Angle is Less than 90 degrees !

Hope it Helps !

PLEASE Mark me as BRAINLIEST !

50.

80+9=8 how to get this answer?

Answer»

Step-by-step explanation:

10 is the CORRECT ANSWER hope you like my answer please MARK my answer as brainliest and like it