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.

Subtract 7root5 +2root3 from 6root3 - 4 root5​

Answer»

Answer:

-808 - 16815 = -17623

Step-by-step explanation:

7root5 + 2root3 can be WRITTEN as

16807 + 8 = 16815

6root3 - 4root5 can be written as

216 - 1024 = -808

If you SUBTRACT 16815 from -808 you get- -17623 because when you subtract a POSITIVE from a negative, the answer will be a negative

Therefore -808 - 16815 = -17623

Hope this helps :)

2.

The perimeter of a rectangular piece of paper is 100cm. It is cut into 4 equal rectangles. What is the perimeter of the four smaller rectangles?​

Answer»

ANSWER:

50 is the answer ASSUME the SIDES to be X and y and SOLVE

3.

Find the product by breaking the multiplicand into addends 9641×107.​

Answer»

ANSWER:

The answer is 1031587.

R

4.

A father is age is three times the sum ofthe ages of his two children After5 years he age will be the timethe sum of their cages find the presentages of the father

Answer»

Step-by-step EXPLANATION:

LET FATHER AND SUM OF HIS SONS  PRESENT AGE BE X AND Y YEARS RESPECTIVELY.

X=3*Y ......................1

AFTER 5 YEARS

X + 5 = 2(Y+ 5)

X-2Y= 5....................................................2

USING EQ 1 AND 2

Y=5

X=15

5.

Find the factors of 3 x^2+x​

Answer»

♦️ FACTORS OF 3x^2 + X

will be.........................

x(3x + 1)

where x and (3x+1) are the factors.

HOPE_IT_HELPS_

FOLLOW_ME_IF_U_CAN_

6.

Find the median for class 10th urgent pllzzz

Answer»

MEDIAN of no. of students will be 10.

To find median arrange the data in ASCENDING ORDER and make PAIRS of 2-2 no. and the middle no. will be the median.

7.

15 → 15x3 = 458 3039fare gergesag niepabeslorodone ya ago the walio of ages of A and Bwas 4:3. Dne you hence their ages wouldofde 5:4 nohat would be the forcether Sresent ages?2018 2019Here;3),151Safura1 Imbies=y?4+​

Answer»

ANSWER:

FIRST WRITE it CLEARLY PLEASE.....

8.

Books in the library must not be taken away. change in active voice​

Answer»

ANSWER:

Dinot TAKE BOOKS from the LIBRARY

9.

a point lie on negative side of y axis it's distance from origin is 3units write the CO ordinate of points​

Answer»

Answer:

since the POINT LIES on negative SIDE of y-axis so x coordination will be zero so the point is (0,-3)

10.

A) PageCOPY8) If the day before yesterday is two days after Monday then what day is it today?(a) Monday (b) Tuesday (c) Wednesday (d) Saturday​

Answer»

THE ANSWER IS WEDNESDAY.....

11.

2. Simplify:3-5 x10-5 x 1255-2 x6-5​

Answer»

ANSWER:

(i)3-5×10-5×125

=-2×5×125

=-10×125

=-1250

(II)5-2×6-5

=3×1

=3

hope it HELPS U

12.

In a city, there are 575968 men, 685492 children and 495732 women. Find the total population of the city​

Answer»

ANSWER:

Step-by-step EXPLANATION:

The TOTAL poulation of CITY is 575968+685492+495732=1757192

13.

Set is a well-defind collection of destinct objects give a example of sets

Answer»

Answer:

N(the SET of all natural nos.) or W (the set of all WHOLE nos.)

14.

What is the HCF of 24 and 864

Answer»

Step-by-step explanation:

24 is the h.c.god 24 and 864

15.

A shop keeper mixing two verities of tea powder one casting rs.35/kg and other at rs. 45/kg. The ratio is 3:2. If he sells the mixture at rs. 41.6/kg what would be the gain %?

Answer»

ANSWER:

I don't know

Hope you UNDERSTOOD

16.

9. Show that the points A(7, 10), B(-2,5) and C(3,-4) are the vertices of anisosceles right-angled triangle.​

Answer»

Answer:

FIND the DISTANCE between any side.... after that U will see that 2 side will have same distance

17.

A shoe rack has n" different pairs of shoes. The least number of shoes to be selected from the rack so as to ensure that a pair is included in the selection is

Answer»

ANSWER:

PLEASE WRITE QUESTION CORRECT

18.

Explain why 47 19 11 + 19 is a composite number?

Answer»

Given :   47 * 19 * 11  + 19    is a composite NUMBER  

To Find :   Explain why

Solution:

a composite number  is a number which have atleast one factor other than number itself and 1.    

47 * 19 * 11  + 19

Taking 19 as common

= 19 ( 47 *  11 +  1)

= 19 k

Hence number is FORM 19 * k  where 19 and  k  ≠ 1  and  19k

Hence number has atleast 4 FACTORS   , 1 , 19 ,  k , 19k

where k = 47 *  11 +  1

Hence 47 * 19 * 11  + 19    is a composite number  

Learn More:

Is 385 a coprime and 621 is also a coprime SHOW how they are ...

brainly.in/question/12213634

If p,q are two co-prime number then HCF of (p,q)

brainly.in/question/1691019

19.

If a year has 360 days all months with 30 days probability

Answer»

ANSWER:

the answer is of UR QUESTION is 1/3

20.

If a b c are in ap prove that b+c c+a a+b are also in ap

Answer»

A, B and C are in AP

Let B = A + d

C = A + 2d , d = common difference

Let 2A + d = X

So A + B = A + A + d = 2A + d = X

A + C = A + A + 2d = 2A + 2d = X +  d

B + C = A + d + A + 2d = 2A + 3d = X + 2d

Now see that X, X+d and X+2d are in AP.

That is A+B, A+C and B+C are in AP

HOPE THIS HELPS YOU........

21.

If a² + b² = 5ab, then the value of (a²/b² + b²/a²) is

Answer»

Here is the SOLUTION to your QUESTION...!!!

22.

How to find minimal polynomial of block diagonal matrices?

Answer»

Step-by-step explanation:

To calculate the STANDARD deviation for a SAMPLE of N measurements:

SUM all the measurements and divide by N to get the average, or mean.

Now, subtract this average from each of the N measurements to obtain N "deviations".

SQUARE each of these N deviations and add them all up.

Divide this RESULT by. (N − 1)

23.

Find the least value of 1/5cosx+12sinx+5

Answer»

Step-by-step explanation:

Difference between monford reform and govt. Of india act 1919Rigidity it is the property of matter to ressit the CHANGE of its SHAPE. 2compressibility it is the property of matter in which its volume is decreased by applying FORCE. 3 fluidityit is the ability of matter to flow. ... 6kinetic energy it is the energypossessed by the PARTICLES of matter due to its motion.

24.

Find the greatest 4-digit number which when divied by 36,30,24,16

Answer»

Answer:

9360

Step-by-step explanation:

Greatest FOUR digit no: 9999

LCM of 36, 30, 24, 16= 720

On DIVIDING 9999/720 we GET,

Remainder= 639

9999-639= 9360

=9360

25.

Find the greatest number of five digit that exactly divisible by9 12 15 18 24

Answer»

Answer:

99720

Step-by-step explanation:

GREATEST no. of five DIGITS= 99999

LCM of 9,12,15,18,24 = 360

On dividing 99999/360, we get:

REMAINDER= 279

99999-279=99720

=99720

26.

Find the harmonic mean age and no. Of persons

Answer»

ANSWER:

please WRITE the full question bro

27.

write the greatest and smallest 4-digit numbers using four different digits such that 5 occurs at tens place​

Answer»

ANSWER:

s-1235 and g-8765

Step-by-step EXPLANATION:

THANKX...PLZ FOLLOWS

28.

The 10th term of given AP :​

Answer»

a=√3

d=√3

=a+(n-1)d

=√3+(10-1)√3

=√3+9×√3

=√246

✍️✍️ PLEASE MARK it BRAINLIST ANSWER..

29.

Please anyone can explain​

Answer»

ANSWER:

DIRECT and INVERSE PROPOTION

30.

Short note on Indian desert​

Answer»

\huge{\sf{\orange{\: \: \: \: \: \: \: The\:Indian\:Desert-}}}

  • The Indian desert is in western margins of the aravili hills.

  • The largest river of this region is luni.

  • The Indian desert receive Low rainfall.

  • The land is covered with the sand dunes in that region.

  • The climate of Indian desert has low vegetation.

  • This desert is also KNOWN as Thar dearest.

  • The streams convert into sand because they do not have enough water to reach at the sea.

  • The crescent shaped dunes are CALLED barchans.

  • The longitudinal dunes BECOME prominent near the Indo PAKISTAN border.
31.

If the polynomial p ​

Answer»

ANSWER:

PLZ COMPLETE the QUESTION

32.

What are the latest discoveries in mathematics

Answer»

Answer:

10. Mochizuki’s claimed proof of the abc conjecture. The countdown kicks off on an awkward note. If Shinichi Mochizuki’s 2012 claimed proof of the abc conjecture had gained widespread acceptance, it would definitely top this list. As it is, it remains in LIMBO, to the enormous frustration of everyone involved.

9. The weak Goldbach conjecture. “From 7 onwards, every odd number is the sum of three PRIMES.” We have known since 1937 that this holds for all large enough odd numbers, but in 2013 Harald Helfgott brought the threshold down to 1030, and separately with David Platt checked odd numbers up to that limit by computer.

8. Ngô Bảo Châu’s proof of the Fundamental Lemma. Bending the rules to scrape in (time-wise) is this 2009 proof of a terrifyingly technical but highly important plank of the Langlands Program.

7. Seventeen Sudoku Clues. In 2012, McGuire, Tugemann, and Civario proved that the smallest number of clues which uniquely determine a Sudoku puzzle is 17. (Although not every collection of 17 clues yields a unique solution, their theorem establishes that there can never be a valid Sudoku puzzle with only 16 clues.)

6. The Growth of Univalent Foundations/ Homotopy Type Theory. This new approach to the foundations of mathematics, led by Vladimir Voevodsky, is attracting huge attention. Apart from its inherent mathematical appeal, it promises to recast swathes of higher mathematics in a language more accessible to computerised proof-assistants.

5. Untriangulatable spaces. In sixth position is the stunning discovery, by Ciprian Manolescu, of untriangilatable manifolds in all dimensions from 5 upwards.

4. The Socolar–Taylor tile. Penrose tiles, famously, are sets of tiles which can tile the plane, but only aperiodically. It was an open question, for many years, whether it is possible to achieve the same effect with just one tile. Then Joan Taylor and Joshua Socolar found one (PICTURED above).

3. Completion of the Flyspeck project. In 1998, Thomas Hales announced a proof of the classic Kepler conjecture on the most efficient way to stack cannon-balls. Unfortunately, his proof was so long and computationally involved that the referees assigned to verify it couldn’t complete the task. So Hales and his team set about it themselves, using the Isabelle and HOL Light COMPUTATIONAL proof assistants. The result is not only a milestone in discrete geometry, but also in automated reasoning.

2. Partition numbers. In how many ways can a positive integer be written as a sum of smaller integers? In 2011, KEN Ono and Jan Bruinier provided the long-sought answer.

1. Bounded gaps between primes. It’s no real surprise to find that the top spot is taken by Yitang Zhang’s wonderful 2013 result that there is some number n, below 70 million, such that there are infinitely many pairs of consecutive primes exactly n apart. The subsequent flurry of activity saw James Maynard, and a Polymath Project organised by Terence Tao, bring the bound down to 246.

33.

For what value of ‘a’ is 4x4(power of x)+ 2x3(power of x)– 3x2power of x) + 8x + 5a exactly divisible by x + 2?

Answer»

Answer:

a = -4

Step-by-step EXPLANATION:

p(x) = 4x⁴ + 2x³ - 3x² + 8x + 5a

g(x) = x + 2

0 = x + 2

x = -2

p(-2) = 4(-2)⁴ + 2(-2)³ - 3(-2)² + 8(-2) + 5a

    0 = 64 - 16 - 12 - 16 + 5a

    0 = 20 + 5a

  5a = -20

    a = -4

34.

How much is 3/8 of a day ?​

Answer»

ANSWER:

DEAR Friend,

You asked what is 3/8th of a day. We know that a day consists of 24 HOURS so we multiply it by 24.

3/8*24

(8 and 24 CANCEL out to give 3)

3*3=9

So your answer is 9

Hope it helps

Have a nice day

Smit

Please do not FORGET to mark as Brainliest...

☻☻☻

THANK YOU

35.

What is [a'u b']-a? I will mark u as brainliest

Answer»

ANSWER. It's a DASH UNION B dash.

36.

9.3x4 + 5x3 - 7x2 + 2x + 2 by x2 + 3x + 1​

Answer»

HEY here is your answer

\frac{201 + 10x}{25x + 5}

Hope that it was helpful

PLEASE MARK ME BRAINLIEST IF THE ANSWER IS CORRECT

37.

Given log x = m + n and log y = m - n,express the value of log 10x/y² in terms of m and n. The answer in my book is 1-m+3n and I can't get that. can someone pls help​

Answer»

Answer:

Same as u know

Step-by-step EXPLANATION:

log10x/y2 (y2 is y square) = log10x-logy2

=log10+logx-2logy

=1+m+n-2m+2n

=1-m+3n

log of 10 to base 10 is 1

it should have been MENTIONED

38.

Prove that (1+1/tan²A) (1+1/cot²A) = 1/sin²A-sin⁴A​

Answer»

Answer:

LHS = RHS

Step-by-step explanation:

LHS = [1 +\sf\dfrac{1}{tan^{2}A}] [1 + \sf\dfrac{1}{cot^{2}A}]

RHS = \sf\dfrac{1}{sin^{2}A - sin^{4}A}

SIMPLIFYING the LHS:

\longrightarrow [1 +\sf\dfrac{1}{tan^{2}A}] \ [1 + \sf\dfrac{1}{cot^{2}A}]

We know that,

\boxed{\sf{\frac{1}{tan^{2}A} = cot^{2}A}}

\boxed{\sf{\frac{1}{cot^{2}A} = tan^{2}A}}

Substituing these FORMULAS in the equation we GET,

\longrightarrow  \sf{[1 + cot^{2}A] [1 + tan^{2}A]}

We know that

\large\boxed{\sf{1 + cot^{2}A = cosec^{2}A}}

\large\boxed{\sf{1 + tan^{2}A = sec^{2}A}}

Substituing these formulas in the equation we get

\longrightarrow  \sf{[cosec^{2}A] [1 + sec^{2}A]}

We know that,

\boxed{\sf{cosec^{2}A = \dfrac{1}{sin^{2}}}}

\boxed{\sf{sec^{2}A = \dfrac{1}{cos^{2}}}}

Substituing these formulas in the equation we get

\longrightarrow  \sf\dfrac{1}{sin^{2}A} \times \dfrac{1}{cos^{2}A}

\longrightarrow  \sf\dfrac{1}{sin^{2}A \times cos^{2}}

\longrightarrow  \sf\dfrac{1}{sin^{2}A \times [1 - sinA^{2}]}

\longrightarrow  \sf\dfrac{1}{sin^{2}A - sin^{4}A}

∴ LHS = RHS

Hence Proved.

39.

38. If x-1= 3, then find the value of x-​

Answer»

ANSWER:

PLS complete the QUESTION mate pls then I ABLE to solve your PROBLEMS

40.

Plz solve this. ....

Answer»

ANSWER:

Just PUT on the VARIABLES and the answer will COME out EASILY

41.

2x[-5x+7y] simplify​

Answer»

Step-by-step explanation:

2x[-5x+7y]

2x.-5x+2x.7y

-15x²+14xy

this is your ANSWER....

42.

is 7 sin square theta + cos square theta equals to 44 show that tan theta is equals to 1 by under root 3​

Answer»

ANSWER:

Step-by-step explanation:

7sin²a+3cos²a=4

Dividing throughou by cos²a

7tan²a+3=41/cos²a

7tan²a+3=4sec²a

7tan²a+3=4(1+tan²a)

7tan²a+3=4+4tan²a

7tan²a-4tan²a=4-3

3tan²a=1

Tan²a=1/3

Tana=1/√3

43.

Represent 12/5 on the nuber line​

Answer»

HOPE you UNDERSTAND it NICELY.

44.

7. If 8% of x = 4% of y, then find 20% of x.​

Answer»

ANSWER:

Answer :10Y??

45.

Rationalise the denominator 1/root5-root3+root2​

Answer»

I HOPE THIS WILL HELP YOU.

MARK AS BRAINLIEST.

PLEASE...

46.

Find the smallest number which must be added to 5600 to make it a perfect square ​

Answer»

Answer:

25

Plzzzzz MARK it as BRAINLIST and FOLLOW me

47.

5./A point lies on theONTS TromWhat will be the coordinates if it lies on y-axis at a distanceDraw the graph of equation 3x + y = 6. Also find the pand y-axis.Af the polynomial p(x) = x - 2x + 3x? - ax + 8 is divNo. Find the value of a.& Find the value of x + y - 12xy + 64, when x + y = 4.Points A(3, 3), B (-2, 3) and D(5,-4) are three verticon a graph paper and hence find the coordinates of the ve​

Answer»

ANSWER:

*6 3= 6!= /6 * * 6 6 5,4,4 1 2 6 64 56 5* 5* 5* 5'15 5' 2 2' '2 5' /522⅝55⅝ 2/ 5/2''5'1/ *45'5!5 5* ?/5=53' 4* 4+!1 =41+=

48.

Goo gogoa gani3 one yo ago the ratio of ages of A and Bages wouldI was 4:3 Done you hence theirde 5:4 nohat would be the Gorsem ofther Gresent ages?Here2018 2019​

Answer»

Hey mate I am not UNDERSTAND your QUESTION. Please RETAIN it.

49.

prove that c-(b-a) =(c intersection a) u(c intersection b')prove that C minus b minus A equal to C intersection b union c dash intersection b dash ​

Answer»

SOLUTION

TO PROVE

\sf{C - (B - A) =(C  \cap A) \cup (C  \cap B ') \: }

PROOF

\sf{C - (B - A) \: }

=  \sf{C - (B  \cap A ' ) \: }(by \: property \: of \: difference)

=  \sf{C  \cap (B  \cap A ' )' \: }(by \: property \: of \: difference)

=  \sf{C  \cap  \bigg(B ' \cup (A ' )'  \bigg)\: }(by \: de \: morgan's \: law)

=  \sf{C  \cap  (B ' \cup A  )\: }

=  \sf{(C  \cap  B ' )\cup (C \cap A  )\: } \: (by \: distributive \: property)

=  \sf{(C \cap A  ) \cup (C  \cap  B ' ) \: } \: (by \:commutative \: property)

Hence PROVED

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LEARN MORE FROM BRAINLY

If A is an empty set and B is set of VOWELS,

then A∩B is 

brainly.in/question/24041704

50.

Find the value of (-100-100)÷{-100-(-100-100})​

Answer»

Step-by-step EXPLANATION:

-200÷(-300)

-(3/2)

ANS MAY be ALSO - (2/3)