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.	the moon's distance from the earth is 324000 km and its diameter subtends an angle of 28' at the eye of the obseever. the diameter of the moon is
Answer» The ANSWER is 0.5m LONG by the cbseever

2.	Prove that 3 root 5 is an irrational number along with steps
Answer» HEY HOPE this HELPS U !!!

3.	Please solve question number 9 & 11
Answer» HI, (9) We can write infinite irrational numbers between any two irrational numbers. √2 ≈ 1.414 √3 ≈ 1.732 Therefore 3 irrational numbers between √2 and √3 are i ) 1.45010010001... ii ) 1.5010110111... iii) 1.6010010001... (11) 5/7=0.7142 9/11=0.818181 so the irrational numbers WOULD be 1) 0.720720072000.......... 2) 0.731731173111........... 3) 0.80800800080000......... hope it will help you..

4.	find the formula for the general term of the sequence by looking t the first five terms of the sequence. i) (1/2,1/4,1/8,1/16,.....) ii) (2,7,12,17,22,....) iii) (0,2,0,2,....) iv) (1/2,1/4,1/6,1/8,1/10,....)
Answer» HOPE this HELPS any DOUBTS PLEASE COMMENT

5.	Give answer for this que.
Answer» LET the ratios be 4x,5x,7x,11x ACCORDING to question c's SHARE is1351 so,7x = 1351 then x = 1351/7 x = 193 now total share of A and AlD will be 4x+11x=15x = 15×193= 2895

6.	Find the domain of the function f(x)=x^2-3x+5/x^2-5x+4
Answer» DENOMINATOR has ZEROES at 4, 1. hence domain shall be, (-infinity, 1), (1,4), (4, +infinity)

7.	Dfa for number of 0's divisible by 5 and 1's divisible by 3
Answer» 1*3=3 so,1 is DIVISIBLE by 3

8.	Answer this question plz plz has fast has you can
Answer» 3/2= 1.5 is UR ANSWER MARK me BRAINLIEST

9.	(sin1.sin2.sin3)(sec 46.........sec 89)
Answer» Your ANSWER Will Be 1

10.	Dx/√(1+sinx). find the integral
Answer» Given, $\bold{\int{\frac{dx}{\sqrt{<klux>1</klux>+<klux>SINX</klux>}}}}$ First of all we have to resolve $\bold{\sqrt{1+sinx}}$ sinx = COS(π/2 - x) ∴ 1 + sinx = 1 + cos(π/2 - x) But we know, 1 + cosФ = 2cos²Ф/2 , use it here, ∴ 1 + cos(π/2 - x) = 2cos²(π/2 - x)/2 = 2cos²(π/4 - x/2) HENCE, $\bold{\sqrt{1+sinx}=\sqrt{2}cos(\frac{\pi}{4}-\frac{x}{2})}$ So, integration CONVERTS in $\bold{\int{\frac{dx}{\sqrt{2}cos(\pi/4-x/2)}}}$ = $\bold{\frac{1}{\sqrt{2}}\int{sec(\pi/4-x/2).dx}}$ = $\bold{\frac{-2\times1}{\sqrt{2}}log\|tan(\pi/4-x/2)+sec(\pi/4-x/2)\|} +C$ = $\bold{-\sqrt{2}log\|tan(\pi/4-x/2)+sec(\pi/4-x/2)\|} +C$

11.	Solution of differential equation dy/dx =y2 with condition y(1) = 1
Answer» HOPE this HELPS any DOUBTS PLEASE COMMENT

12.	What does point means between tow digit or variable in exponent chapter
Answer» I think it MEANS multiply i hope it would be CORRECT

13.	Evaluate this equation
Answer» HOPE it HELPS..........

14.	meenal lends Rs 75000 at C.I. for 3 years. if the rate of interest for the first two years is 15% per year and for the third year it is 16%, calculate the sum meenal will get at the end of the third year.
Answer» 75000{ ( 1+15/100)^2 ( 1+16/100) -1} 75000{ (529/400 × 841/625 -1 } 75000 { 444889-250000}/250000 75/250 × 194880 58464

15.	How to identify permutation and combination?
Answer» PERMUTATION is for arranging the THINGS whereas combination for selection. selecting TWO nos. shall be 10C2 making nos. from two digit (including 0 at unit PLACE, just ASSUMING for sake of understanding), ans shall be selecting two nos.arranging these two nos. + nos. formed by same nos.(11,22,33...total 10) 10C22P2+10

16.	How to find the maximum compatibility blocks?
Answer» The ANSWER is 'by COUNTING them'

17.	Plz solve both of them
Answer» According to given sum, (i) $<klux>LHS</klux> = \frac{ {a}^{ - 1} }{ {a}^{ - 1} + {b}^{ - 1} } + \frac{ {a}^{ - 1} }{ {a}^{ - 1} - {b}^{ - 1} }$ $= > \: \frac{1}{a} ( \frac{1}{ {a}^{ - 1} + {b}^{ - 1} } ) + \frac{1}{a}( \frac{1}{ {a}^{ - 1} - {b}^{ - 1} } )$ $= > \: \frac{1}{1 + \frac{a}{b} } + \frac{1}{1 - \frac{a}{b} }$ $= > \: \frac{b}{a + b} + \frac{b}{b - a}$ $= > \: b( \frac{1}{a + b} + \frac{1}{b - a} )$ $= > \: b( \frac{b - a + b + a}{ {b}^{2} - {a}^{2} } )$ $= > \: b( \frac{2b}{ {b}^{2} - {a}^{2} } )$ $= > \: \frac{2 {b}^{2} }{ {b}^{2} - {a}^{2} }$ LHS = RHS . Hence, PROVED. (ii) $lhs = \frac{ {a} + {b} + {c} }{ {a}^{ - 1}. {b}^{ - 1} + {b}^{ - 1}. {c}^{ - 1} + {a}^{ - 1} . {c}^{ - 1} }$ $= > \: \frac{a + b + c}{ \frac{1}{ab} + \frac{1}{bc} + \frac{1}{ca} }$ TAKING the LCM of the denominators. $= > \: \frac{a + b + c}{ \frac{a + b + c}{abc} }$ $= > \: abc( \frac{a + b + c}{a + b + c} )$ => abc. LHS = RHS . Hence, proved :-)Hope it HELPS u .

18.	X=4/5(x+10)PLEASE TELL ME
Answer» Hey Here is your answer, X = 4/5(x+10) x = 4x/5 + 40/5 x = 4x/5 + 8 x - 8= 4x /5 5(x-8)= 4x 5x -40 =4x 5x-4x = 40 x = 40 Hope it HELPS you!

19.	Write the sets in roaster form of word "TRIGONOMETRY"
Answer» A= {T, R, I, G, O, N, M, E, Y}

20.	How to solve square root 2
Answer» √2 can be SOLVED by long DIVISION method. 1.414 to three DECIMAL places, 1.41 to TWO

21.	What are called unit
Answer» UNIT are the FIXED QUANTITIES used for measuring amount. Such as DISTANCE,capacity,weight etc. e.g. m,L,km,kg etc.

22.	Units digit of (1^3+2^3.......10^3)^10
Answer» Sum of cube of FIRST n NATURAL no. is sqaure of n(n+1)/2. hence, expression is {(1011/2)^2}^10=55^20 by observing, unit place shall be 5. otherwise expanding the expession (5+50)^20, we get C0 5^20+C15^1950++++++++ C0 5^20+multiple of 10 now unit place have same value as that of 5^20 i.e 5

23.	How to solve this???
Answer» Hey!!! I'll solve this on paper because it's a LONG question it'll take 5 minutes Done Angle RTS = 69°. It was one of my life's tuffest question Refer to the attachment For any DOUBTS comment below Hope this HELPS you

24.	The sum of squares of two consecutive natural number is244 find the number
Answer» 10^2=100 12^2=144 100+144=244

25.	C(AB)=?
Answer» HEY there!! here is UR answer... C(AB) =CA*CB

26.	How to do ascending order in roman numerals?
Answer» Just arrange the LEAST valued NUMERAL at the FIRST place and then all higher valued in the given order with the HIGHEST valued at the last.

27.	decide whether following sequence is an A. P..., if so find the 20th term of the progression. -12,-5,2,9,16,23,30,.....
Answer» YES,it is an Ap here COMMON difference (d)=7 a+(n-1)d -12+(20-1)7 =>-12+133 =>121 ans.

28.	What is the factor of 36 and 42
Answer» FACTORS of 36 1,2,3,4,5,6,9,12,18,36 factors of 42 1,2,3,6,7,14,21,42

29.	Divide 1.38305 by 11 correct to 3places of decimal
Answer» Here is your ANSWER 1.38305/11=0.125

30.	Perimeter of a Triangle is 540 cm.Sides are in the ratio 25;17:12 respectively.Find lengths of sides?Find the area of triangle (start by taking x as the common multiple )please solve this.
Answer» Hii friend, ABC be a triangle. Sides of triangle ABC are AB , BC and AC Ratio of the sides of the triangle =25:17:12 Let X be common multiple to these side's. Therefore, Sides BECOMES 25X , 17X and 12X. Perimeter of triangle = 540 25X+17X+12X = 540 54X = 540 X = 540/54 X= 10 Therefore, 25X =25 × 10 = 250cm 17X = 17 × 10 = 170cm And, 12X = 12×10 =120cm Therefore, Length of each side of ∆ABC are 250 , 170 , 120 cm respectively. Since, All three sides of the triangle are different it MEANS triangle ABC is isosceles. Therefore, SEMI Perimeter(S) = 1/2 × (250+170+120) => 540/2 = 270 cm S-A = 270-250 =20 cm S-B = 270-170 = 100 cm S-C = 270-120 = 150 cm By using herons formula, AREA of triangle ABC = ✓S(S-A)(S-B)(S-C) => ✓270×20×100×150 => ✓27000000 => 5196.15 cm² HOPE IT WILL HELP YOU.... :-)

31.	If √18-6√5=√a-√b then prove that a+b =18
Answer» This is your ANSWER

32.	A car travel 60km in 1hr 30min. how long will it take to cover a distance of 100km at the same speed
Answer» CROSS MULTIPLY and SOLVE for X. 60/90 = 100/x

33.	How many whole numbers between 100 and 800 contain the digit 2?
Answer» Between 100 & 800 there are three digits. hundred position can have values between 1&7. case 1, hundred position value is 2, totat no. of numbers formed=1010=100 case 2, if hundred PLACE value is other than 2 (can have 6 values), (i) FIXING 10th place as 2, total no. of ways=610=60 (ii) similarly fixing 2 at unit place, total no. of ways=60 hence total no. of ways =100+60+60=220

34.	How rank of matrix related to consistency?
Answer» I DONT KNOW the ANSWER SORRY BRO

35.	Express as recurring decimal 2 1/6
Answer» 21/6 can be expressed as 3.5 it's not a RECURRING decimal MAY it be CORRECT and helpful to u

36.	7x+14/3-17-3×/5=6× 4x+2/3-5
Answer» Is the ANSWER 2.1407?

37.	IN THE GIVEN FIGURE O IS THE CENTER OF A CIRCLE.IF1. 90* 2. 1003. 180 3. 80*
Answer» The CORRECT ANSWERS is 90°

38.	Product of pragati age2 yrs ago and 3 years hence is 84. Find her presents age
Answer» PRESENT age be x ACC to equation (x-2)(x+3)=84 x²+x-6=84 x²+x-90=0 x²+10x-9x-90 (x+10)(x-9)=0 either x=-10 or x=9 Age cannot be negative THEREFORE present age is 9 years

39.	Write the step of ab-2ab+a^2-2a
Answer» Ab-2ab+a^2-2a=0 a^2-2a-ab=0 a(a-2-b)=0 a=0 and a=2+b

40.	What is the solve of = ab-2b+a^2-2a
Answer» 0

41.	Please solved this question
Answer» HOPE this HELP you...........

42.	Guys please tell the answer of the 11th question
Answer» Hey Mate Here is your ANSWER in the attachment Hope it HELPS Cheers!! PLS mark as BRAINLIEST if it helps

43.	If α and β are zeroes of the quadratic polynomial p(x)=x2-(k-6)x+(2k+1) and α+β= αβ, then find the value of k
Answer» HIII friend, P(X) = X²-(K-6)+X+(2K+1). A = 1 , B = (K-6) and C = 2K+1 Alpha + BETA = -B/A = -(K-6)/1 And, Alpha × Beta = C/A =2K+1/1 According to question, Alpha + Beta = Alpha × Beta (K-6) = 2K+1 K-6 = 2K+1 2K-K =-6-1 K = -7 Hence, K = -7 HOPE IT WILL HELP YOU.... :-)

44.	5(y-2)+(y-3)=2(2y+10-9
Answer» ••Hey •• °•°here is your answer •°• -------------------------------- ¤¤ 5(y-2)+(y-3)=2(2y+10-9) 5y-10+y-3=4y+20-18 5y+y-10-3=4y+2 6y-13=4y+2 6y-4y-13-2=0 2y-15=0 2y=15 y=15/2 ¤¤ ----------------------------------- hope it HELPS u .. !!

45.	Hey guys plzzzzzzzzzzzzzzzzzzz answer this
Answer» HOPE it HELPS.......

46.	Express as a recurring decimal :21/6
Answer» Hey Here is your ANSWER, The answer is 3.5 Hope it HELPS you!

47.	Sum of the series 1+4+9 +25+......100 is
Answer» 1²+2²+3²+.....+10² It can be CALCULATED USING formula n(2n+1)(n+1)/6 put n=10 10(21)11/6=385 Hope it helps...

48.	Factorize:-1)5x²-4z²y²
Answer» 5x² -4z²y² => (√5x)² - (2zy)² ------------------------------ By FORMULA, a²-b² =(a+b) (a-b) ------------------------------ => (√5x)² -(2zy)² => (√5x -2zy) (√5x-2zy) I HOPE this will HELP you -by ABHAY

49.	How to solve this????
Answer» ANGLE RTS = 180° - angle ROS. (INTERIOR angle R supplimentry) =180°-42° = 138°

50.	How environment is related to mathematics?
Answer» To those who do not know mathematics it is difficult to get across a REAL feeling as to the beauty, the deepest beauty, of nature ... If you want to learn about nature, to appreciate nature, it is necessary to understand the LANGUAGE that she speaks in". When mathematical physicist Paul Dirac was asked what he believed, WITHOUT hesitation he replied that the laws of nature should be expressed in beautiful equations. As we learn more about nature, it becomes increasingly apparent that an accurate statement about nature is necessarily mathematical. Anything else is an approximation. So, mathematics is not only science but is also an exact science. Because nature is mathematical, any science that intends to describe nature is completely DEPENDENT on mathematics. It is impossible to overemphasize this point, and it is why Carl Friedrich Gauss called mathematics "the queen of the sciences." Conclusion: Nature is innately mathematical, and she speaks to us in mathematics. We only have to listen. I HOPE it helps. please mark as brainliest. please please....