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 mode of the distribution3,5,7,4, 2, 1, 4,3,4​

Answer»

\huge\sf\green{Answer}

The mode of the given distribution is 4

\huge\sf\pink{Explanation:}

Mode :

Mode of any given distribution is the number with highest frequency.

Solution :

The given NUMBERS OCCUR the given number of times.

1 OCCURED 1 time

➣ 2 occured 1 time

➣ 3 occured 2 time

➣ 4 occured 3 time

5 occured 1 time

➣ 7 occured 1 time

So, the number 4 occured the maximum number of times and so, the mode of the given distribution is 4.

2.

Fill in the blanks in the following table [( First term a , common difference d and nth term an )]..-------------------------------------------------slno.. a.. d.. n.. an--------------------------–---------------------1. 13. ___. 15. 55-------------------------------------------------2. ___. -2. 22. -39-------------------------------------------------3. 12. 4. ___. 56. -------------------------------------------------4. 4. 2. 5. ____. -------------------------------------------------5. 3. -2. 9. ____. ------------------------------------------------- ​

Answer»

Answer:

1. an 2. A3. D 4. N 5. d

Step-by-step explanation:

HOPE...

3.

65 311. Divide the sum of and by their difference.12 8​

Answer»

ANSWER:

I do not UNDERSTAND you QUESTION

4.

Sin squar theta +1/1+tan squar​

Answer»

Answer:

1

Step-by-step explanation:

1/1+tan²theta = 1/sec²theta

And 1/sec²theta = cos²theta

so we GET sin²theta + cos²theta = 1

5.

3x + 5=0 I want this answer ​

Answer»

Step-by-step EXPLANATION:

here's the ANSWER friend PLS FOLLOW me and mark as brainliest

6.

If abc and JCAC) = 17& CBC) - 6. I the find SCAR)​

Answer»

ANSWER:

the answer is ZERO.....

7.

When you divide A4 in half, you get two A5 sheets. If you further divide those A5 sheets in half, you get four A6 sheets. Till which A series paper should you divide so that every person on earth can get one sheet?

Answer»

Step-by-step explanation:

Given:When you divide A4 in HALF, you get two A5 sheets. If you further divide those A5 sheets in half, you get four A6 sheets.

To find:Till which A series paper should you divide so that every person on earth can get one sheet? A100 A37 A20 A1000

Solution:

One fold of A4 sheet= 2 A5 sheet

one fold of 2A5 sheet= 4 A6 sheet

one fold of 4A6 sheet= 8 A7 sheet

and so on

Looking at the pattern

2, \: 4 ,\: 8, \: 16 ,...\\ \\ {2}^{1} ,\: {2}^{2} , \: {2}^{3}, \: {2}^{4}, ... \\

WORLD POPULATION is 7.8 billion,

So,

If one can fold paper 33 times

{2}^{33} = 8859934592 \\ \\ 8859934592 > 7.8 \: billions \\ \\

8859934592>7.8billions

So,

Up to 33 fold the series of paper will reach to 33+4= A37

Option B is correct.

Hope it helps you.

8.

Find the least number that must be added to 1000 so that the sum is exactly divisible by 16,64 and 256.​

Answer»

Answer:

let the smallest SUM X

then ACCORDING to question :-

(X+1000)/1664256 = 1

X + 1000 = 1664256

X = 1664256-1000

X = 1663256

ans:- 16,63,256

Hope it helps U

9.

What is uses of differentiation intigration and limits in day today life​

Answer»

Answer:

We use the derivative to determine the MAXIMUM and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.). DERIVATIVES are met in many engineering and science PROBLEMS, especially when MODELLING the behaviour of MOVING objects.

Step-by-step explanation:

10.

find the smallest number by which each of the following number must be multiplied to obtain a perfect cube 144​

Answer»

Answer:

12

Step-by-step EXPLANATION:

because here is only ONE no. so 12² is 144

11.

In a linear equation the power of the variable appering in the equation is one​

Answer»

Answer:

True

Linear Equation in one variable

Pls FOLLOW me and pls Mark me as BRAINLIST

12.

A boat goes 3 km upstream and 44 km downstream in 10 hours. In 13 hours it can go 40km upstream and 50 km downstream. Determine the speed of the stream and that of the boat in still water.​

Answer»

Step-by-step EXPLANATION:

LET X be speed of BOAT in still WATER and Y be speed of stream

downstream = (x+y)km/hr

upstream =(x-y)km/hr

TIME = DIST/SPEED

ATGC-1

TIME UPSTREAM=3/X-Y

TIME DOWNSTREAM = 44/X+Y

3/X-Y + 44/X+Y = 10

13.

--beare theso APShort Answer Type Questions SLAS-And the item of the AP:213, 205, 197,137CBSE 2015In the AP 17, 13, 19, 115 prove that the wumof the middle terms jsequarto the sum of fint andlast terms10.) Which term of the AP.5.15.25will be 130more than its 31st term?11. If the 10th term of an AP. is 52 and 17th term is20 mne than the 13th to find the​

Answer»

Step-by-step explanation:

2572%×;#&!&@*!*%@×;!×*

HII

14.

10. Factorise each of the following:(i) 27y³ + 125z³​

Answer»

Answer:

27y³+125z³ = (3y + 5z) ( 9y² + 25z² - 15YZ)

64m³-343n³ =  (4m - 7N) ( 16m² + 49n² + 28mn)

Step-by-step explanation:

27y³+125z³

= (3y)³ + (5z)³

using a³ + b³ = (a + B) (a² + b² - ab)

here a = 3y  & b = 5z

= (3y + 5z) ( (3y)² + (5z)² - (3y)(5z))

= (3y + 5z) ( 9y² + 25z² - 15yz)

15.

Hello sir i dont know how to solve it​

Answer»

ANSWER:

\frac{73}{16 \times 125}  =  \frac{73}{2000}  = 0.0365

16.

Solve for x : sin(πx/2√3)=x²-2√3+4

Answer»

Step-by-step EXPLANATION:

SIN(π÷2×√(3))

=0.0474673131

17.

Hey Brainlists solve this question with correct explanation ❤If two out of three vectors a, b, c are unit vectors a+b+c=0 and 2(a.b+b.c+c.a) +3=0 then the third vector of length ​

Answer»

A+B=C

18.

MeanThe of the numbers 10, 20,30and go​

Answer»

Answer:

20 is the MEAN of GIVEN NUMBERS

19.

Find the square of 105 visual respiration ​

Answer»

ANSWER:

SQUARE of 105 is 11025 is the answer

20.

3. In the triangle PQR, the midpoints of the sides QR and QP are X and Z respectively. The side QP is extended upto the point S so that PS = ZP. SXintersects the side PR at thepoint Y. Let us prove that, PY = 1/4 PR.​

Answer»

ANSWER:

PY = 1/4 PR

Step-by-step EXPLANATION:

21.

1) U = {1, 3, 5, 8, 9, 10, 11, 12, 13, 15}, A = {1, 11, 13} B = {8, 5, 10, 11, 15}, find A' ∩ B '. *{ 3, 9, 12}{1 , 3, 5, 9, 12, 15{ 3, 5, 9, 12, 15 }​

Answer»

ANSWER:

  1. The answer will be the 1ST OPTION- (3,9,12)
22.

A bottle holds 1/2 pint of liquid. how much would 5 bottles hold?​

Answer»

Answer:

2.5 MEANS 2.5 PINT of LIQUID in 5 BOTTLES

23.

E and f are alternate angles if is e equal to 90 degree then f is equal to​

Answer»

if E EQUALS to 90 degree then F also equals to 90 degree

24.

What is the possible ones digit of the square root of 5476​

Answer»

Answer:

IST of all give ROOT to the 5476 and then the SOLUTION will be 74 and 4 is at one's place. so, the answer is 4

25.

The frequency of 8 in the data 2, 1, 8, 3, 4, 5, 8, 6, 8, 7, 9, 8 is​

Answer»

HI MATE....

But we cannot DRAW table in this app.

Mark me as BRAINLIEST then I will FOLLOW you.

26.

if a to the power 4 + 8 to the power 3 + A square + A + 1 equal to zero then what is the value of e to the power 2000 + 8 power 2010 + 1 ​

Answer»

ANSWER:

if a to the POWER 4 + 8 to the power 3 + A SQUARE + A + 1 equal to zero then what is the value of e to the power 2000 + 8 power 2010 + 1

yfygub

27.

At a point on groumd the angle of elevation of vertical tower is 30 degree found yo be tangent is 5/12 on walking 192 toward tower the tangent of elevation is 3/4. Find height of tower​

Answer»

ANSWER: 180m

Step-by-step explanation: Let  

TR be the tower such that TR=X

P and Q be the POINT on the ground such that  

tanθ=  

12

5

​  

  and  tanα=  

4

3

​  

 

And QR=y

Given  

PQ=192m

In right TRIANGLE TQR,

tanα=  

QR

TR

​  

=  

y

x

​  

 

⇒  

4

3

​  

=  

y

x

​  

 

⇒y=  

3

4

​  

x...(1)

In right triangle TPR,

tanθ=  

PR

TR

​  

 

⇒  

12

5

​  

=  

(y+192)

x

​  

 

⇒x=  

12

5

​  

(y+192)...(2)

⇒x=  

12

5

​  

(  

3

4

​  

x+192)

⇒x=  

9

5

​  

x+80

⇒x−  

9

5

​  

x=80

⇒  

9

4

​  

x=80

⇒x=  

4

9

​  

(80)=180

Hence, the height of the tower is 180 m.

28.

E = {x: x= 2n +1, -35n33, ne z​

Answer»

ANSWER:

E=3

Step-by-step explanation:

35-33 = 2

2n-1 = 1

: 2n+1= 3

E =3

29.

Answer this with step to step explaination​

Answer»

24 YEAR of ena

I HOPE I HELP you this QUESTION

30.

Which of the following numbers is the product of 6/13 & - 13/31- 12-2​

Answer»

ANSWER:

-2 is the answer

Step-by-step EXPLANATION:

MARK me as BRAINLIEST

31.

Show that 73 is not a factor of 9423​

Answer»

In Hungarian, “MULTIPLICATION Table” and “Times Table” are the same expression as “Once Upon a Time”. I very much enjoyed learning that when I went to the school of fairies today where EVEN butterflies can learn to multiply. The AUTHOR translates a sweet POEM from Hungarian into English. I hope you will read the poem and remember its encouraging words whenever you try to solve one of my multiplication table puzzles or any other task that challenges you in life.

73 is a prime number.

Prime factorization: 73 is prime.

The EXPONENT of prime number 73 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 73 has exactly 2 factors.

Factors of 73: 1, 73

Factor pairs: 73 = 1 x 73

73 has no square factors that allow its square root to be simplified. √73 ≈ 8.5440037

32.

Q1. Evaluate sin( 2 tan-1 1/3​

Answer»

_45

i THINK it will HELP you

Not SURE about the ANSWER

33.

The wheels of a car are of diameter 80 cm each ​

Answer»

ANSWER:

Step-by-step EXPLANATION:

34.

Find the value of the polynomial 5x - 4x²+Bat x-2​

Answer»

I PROMISE I WILL FOLLOW YOU IF YOU MARK AS BRAINLIST

THANKS FOR QUESTION

YOUR ANSWER IS

ANSWER

_______________________________

(i) x = 0

5×0 - 4×0 + 3

=> 3

Answer (I) 3

______________________________

(ii) x = -1

5 × (-1) - 4 × 1 + 3

=> -5 - 4 + 3

=> -9 + 3

=> -6

Answer (ii) -6

________________________________

(III) x = 2

5 × 2 - 4 × 4 + 3

=> 10 - 16 + 3

=> 13 - 16

=> -3

Answer (iii) -3

5×0 - 4×0 + 3

=> 3

Answer (I) 3

______________________________

(ii) x = -1

5 × (-1) - 4 × 1 + 3

=> -5 - 4 + 3

=> -9 + 3

=> -6

Answer (ii) -6

________________________________

(iii) x = 2

5 × 2 - 4 × 4 + 3

=> 10 - 16 + 3

=> 13 - 16

=> -3

Answer (iii) -3

35.

4. cosec theta √1- Cos²theeta = 1​

Answer» LHS = cosec∆ √ 1-cos²∆

= cosec∆ ×√ sin²∆
................{1-cos²∆} = sin²∆

= cosec∆ × sin∆

= cosec∆ × (1/cosec ∆)

= 1 = RHS

mark as BRAINLIEST.....
36.

Find the coordinates of the point which divides the join of (-1,7) and (4, -3) in theratio 2:3​

Answer»

GIVEN:

  • The join of (-1,7) and (4, -3).
  • It is DIVIDED in 2:3.

Let's USE the formula.

(\frac{3x_2+2x_1}{3+2} ,\frac{3y_2+2y_1}{3+2} )

Given (x_1,y_1)=(-1,7), (x_2,y_2)=(4,-3)

(\frac{3x_2+2x_1}{3+2} ,\frac{3y_2+2y_1}{3+2} )=(\frac{12-2}{5} ,\frac{-9+14}{5} )

↓ The POINT is (2, 1).

37.

The Perimter of rectanglegiven by 14aIf one of its sides is 79²-29²-4,Fird the other side.​

Answer»

<P>Answer:

1181

Step-by-step EXPLANATION:

perimeter of rectangle P= 2(a+b)

consider ONE side as a another one side as 79²-29²-4

perimeter of rectangle=14A

b= 79²-29²-4=7086

14a = 2(a+7086)

14a = 2a+14172

12a = 14172

a = 14172 / 12 = 1181

38.

Please help me!!!@kavyanjaliwapa​

Answer»

ANSWER:

okay dear

Step-by-step explanation:

3.refer the attachment

4.refer the SECOND attachement

5.If x+1 is a factor of the polynomial 2x2+kx, then the VALUE of k is. HENCE , the value of k is 2.

hope it HELPS you!

39.

1. (i) x2 + xy - x - y​

Answer»

ANSWER:

if U WANT FACTORS,

x²-x + xy-y

x(x-1)+y(x-1)

so, (x+y)(x-1)

40.

Find the smallest number by which 243 should be divided to obtain perfect cube​

Answer»

Step-by-step explanation:

3 is samllest NUMBER nu which 234 should be divided to obtain perfect cube.

I hope it will help you PLEASE mark as brainliest please I need it

41.

10. The sides of a rectangle are in the ratio 3 : 2. If itsperimeter is 50 cm, find its sides.​

Answer»

Answer:

Length of the rectangle is 15 cm and breadth of the rectangle is 10 cm.

Step-by-step explanation:

Given :-

  • The sides of a rectangle are in the ratio 3:2.
  • PERIMETER of the rectangle is 50 cm.

To find :-

  • Its sides.

Solution :-

★ The sides of the rectangle are in the ratio 3:2.

Consider,

  • Length of the rectangle = 3X cm
  • Breadth of the rectangle = 2x cm.

Formula used :

{\boxed{\sf{Perimeter\:of\: rectangle=2(length+breadth)}}}

Perimeter of the rectangle is 50 cm.

According to the question ,

2(3x+2x)=50

→ 3x+2x = 50/2

→ 5x = 25

→ x = 25/5

→ x = 5

★ Length of the rectangle = 3×5 = 15 cm

★ Breadth of the rectangle = 2×5 = 10 cm

___________________

Additional information :-

★ Area of rectangle = length× breadth

DIAGONAL of rectangle = √(length²+ breadth²)

★ Perimeter of square = 4 × side

★ Area of square = side²

42.

1) The graph of X = 2 is parallel to:​

Answer»

ANSWER:

is PARALLEL to y AXIS.... PLEASE mark it as BRAINLIEST

43.

Coses o22 sec 2ot cosecocose co - 1cosee o +ellit& coseco​

Answer»

Your question is incomplete. Please INSERT a picture or an IMAGE clip of the lesson so I can answer your question. Or atleast please MENTION the lesson name.

Thank you. HOPE this helps. Please mark Brainliest.

If you need more help, feel free to INBOX me and I will explain the answer to you in the easiest way possible.

44.

If a = q/p then what is 1/a​

Answer»

ANSWER:

OK see the PHOTO

Step-by-step explanation:

MARK as brilist answer

plz mark as brilist answer and GIVE 20 thanks

45.

Answer this with step by step expaination then i will mark him as brainliest one​

Answer»

SoluTion :-

Amount of money Raju has = Rs. 9000

Now,

Let the cost of mobile handset be x

According to the Question,

\sf {75 \% \ of \ x = 9000}\\\\\sf {\frac{75x}{100} = 9000}\\\\\sf {\frac{3x}{4} = 9000}\\\\\sf {x = \frac{4 \times 9000}{3}}\\\\\sf {x=12000}

THUS, cost of mobile handset = Rs. 12000

Now,

Raju had Rs. 9000 and he BORROWED Rs. 2000

So, now he has 9000 + 2000 = Rs. 11000

Rs. 11000 is less than 12000

Thus, he still has less money.

Option (a) Raju still does not have enough amount to buy handset.

46.

4/7÷6/7of8/9+1/4 book mai iska answer 1 a raha hai solve pl​

Answer»

4/7×7/6 of 8/9+1/4

4/6 × 32+9/36

2/3× 41/36

41/54

is it...??

47.

Ben is 5 years younger than ron four years later, ron will be twice old as ben find the answer

Answer»

answer of this QUESTION is

  • Ben will be 9 years OLD and RON is 18 years old

48.

8. A sum of ` 15625 amounts to ` 17576 at 8% per annum, compounded semi-annually.Find the time. answer in mixed fraction​

Answer»

ANSWER:

answer is7387

I HOPE you to this QUESTION

49.

Solve the following equation by trial- and- error method.B) 6p-2=3p+13

Answer»

<P>ANSWER:

p =5

Step-by-step explanation:

6p-2=3p+2

6p-3p=13+2

3p=15

p=15/3

p=5

50.

If the equation (a^2+b^2)x^2-2(ac+bd)x+c^2+d^2=0 then what is the condition

Answer»

Step-by-step EXPLANATION:

jdjdjdjewo2oeoekfk jxjisiWoowokwe jxjidiierjuyDu1nenjd jddjuwowo