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.

58x + 52 = 78x - 78does this have 1 solution?

Answer»

HOPE it HELPS..............

2.

If a carton can hold 25.50 kgs of cookies, how many batches ofcookies of 8.9 kg each be placed?​

Answer»

Answer:

3 batches

Step-by-step explanation:

Round off 25.50 & 8.9=26 & 9

=>26/9=2.8=3(APPROXIMATE)

3.

What the missing angle?

Answer»

Answer:

28 and 47

MARK me as brainlliest

4.

ஆடு50பைசா குதிரை 3ரூபாய் யானை​

Answer»

ANSWER:

you KEPT the question in Tamil so I can't UNDERSTAND that.

5.

Xsin2y=ycos2x,dy/dx?​

Answer»

This is the ANSWER to your QUESTION

6.

These are my questions ​

Answer»
7.

14. If x = 2-√3, find the value of x²+1/x²​

Answer»

ANSWER:

{x}^{2}  +  \frac{1}{ {x}^{2} }  = (x +  \frac{1}{x} ) ^{2}  - 2 \\  = 2 -  \sqrt{3}  +  \frac{1}{2 -  \sqrt{3} }  - 2\\  = 2 -  \sqrt{3  }  + 2 +  \sqrt{3}  - 2 \\  = 2anssssssssssssssss

Step-by-step EXPLANATION:

PLEASE MARK as a RESULT

8.

Solve any with proveDon't write anything Solution should be correct

Answer»

Step-by-step explanation:

1+1*10=20

3*8*2=48

4*10-2=38

1+3-4=0

1*8*10=80

10-2+2=10

9.

How many solution did x-4y=5​

Answer»

Step-by-step EXPLANATION:

only ONE( 1 ) solution

x-4y=5x

x =5x+4y

it is linear EQAUTION

it has only one "0"

PLS mark me as a brilliant and follow me

10.

Angle ABC=angle PRQ write thecorresponding sides and angles?​

Answer»

Step-by-step EXPLANATION:

the CORRESPONDING LINES and ANGLES are

  • angle A = angle P
  • angle B= angle R
  • angle C= angle Q
  • AB=PR
  • BC=RQ
  • AC = PQ
11.

The number of ways to find a password with 7keys out of 9keys​

Answer»

Answer:

181440

Step-by-step EXPLANATION:

imagine 7 place HOLDERS as digits of passwords

_ _ _ _ _ _ _ now imagine you have basket of 9 entity

at START you have a total of 9 objects you can place in the first place holder.

you KEEP and similarly in the second placeholder you can place any object from a total of 8 objects. if you continue this pattern and apply the principle of counting to you'll end up with

9*8*7*6*5*4*3

_ _ _ _ _ _ _

multiply these values to get your answer .

you can shorten this process by the formula

(9!)/(9-7)!

12.

What would be the answer of 3x+5/4x+2=3x+4/4x+7​

Answer»

ANSWER:

jgyhojftvobthihhvgrax*38292929

13.

If a:b=2:3 distribute rupess 500​

Answer»

Answer:

200:300 RUPEES to each. a and B RESPECTIVELY

14.

1. Find the mean of the following data.(a) 9, 7, 11, 13, 2, 4, 5, 5(b) 16, 18, 19, 21, 23, 23, 27, 29, 29, 35(c) 2.2, 10.2, 14.7, 5.9, 4.9, 11.1, 10.52. The mean of 8, 11, 6, 14, x and 13 is 66. Find the value of the observation x.3. The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of theobservation in the data.4. The set of scores 12, 5, 7, -8, x, 10 has a mean of 5. Find the value of x.5. Find the mean of the following set of integers.8, 11, –6, 22, –3

Answer»

1. a) 9, 7, 11, 13, 2, 4, 5, 5

We have to find the mean of the given data.

Solution:

We know that:

Mean = \dfrac{Sum of all observation}{Total number of observations}

∴ Mean = \dfrac{9+7+11+13+2+4+5+5}{8}

             = \dfrac{56}{8} = 7

Thus, the mean of the given data is 7.

1. b) 16, 18, 19, 21, 23, 23, 27, 29, 29, 35

We have to find the mean of the given data.

Solution:

We know that:

Mean = \dfrac{Sum of all observation}{Total number of observations}

∴ Mean = \dfrac{16+18+19+21+23+23+27+29+29+35}{10}

             = \dfrac{240}{10} = 24

Thus, the mean of the given data is 24.

1. c) 2.2, 10.2, 14.7, 5.9, 4.9, 11.1, 10.5

We have to find the mean of the given data.

Solution:

We know that:

Mean = \dfrac{Sum of all observation}{Total number of observations}

∴ Mean = \dfrac{2.2+10.2+14.7+5.9+4.9+11.1+10.5}{7}

             = \dfrac{59.5}{7} = 8.5

Thus, the mean of the given data is 8.5.

2. The mean of 8, 11, 6, 14, x and 13 is 66. Find the VALUE of the observation x

We have to find, the value of x in the given observations.

Solution:

We know that:

Mean = \dfrac{Sum of all observation}{Total number of observations}

∴  \dfrac{8+11+6+14+x+13}{6} = 66

⇒ 52 + x = 396

⇒ x = 396 - 52

⇒ x = 344  

Thus, the value of x is 344.        

3. The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of the  observation in the data.

We have to find, the value of x and also find the value of observations in the data.

Solution:

We know that:

Mean = \dfrac{Sum of all observation}{Total number of observations}

∴  \dfrac{6+8+(x+2)+10+(2x-1)+2}{6} = 9

⇒ 27 + 3x = 54

⇒ 3x = 27

⇒ x = 9

Thus, the value of x is 9.    

The value of the  observation in the data:

6, 8, (9 + 2), 10, (18 - 1) and 2

= 6, 8, 11, 10, 17 and 2

∴ The value of the  observation in the data are 6, 8, 11, 10, 17 and 2.

4. The set of scores 12, 5, 7, -8, x, 10 has a mean of 5. Find the value of x.

We have to find, the value of x in the given observations.

Solution:

We know that:

Mean = \dfrac{Sum of all observation}{Total number of observations}

\dfrac{12+5+7-8+x+10}{6}  = 5

⇒ 26 + x = 30

⇒ x = 30 - 26

⇒ x = 4  

Thus, the value of x is 4.        

5. Find the mean of the following set of integers.

8, 11, – 6, 22, – 3

We have to find the mean of the given data.

Solution:

We know that:

Mean = \dfrac{Sum of all observation}{Total number of observations}

∴ Mean = \dfrac{8+11-6+22-3}{5}

             = \dfrac{32}{5} = 6.4

Thus, the mean of the given data is 6.4.

15.

Rationalise the denominator of ^2+^3/3^2-2^3​

Answer»

ANSWER:

so these QUESTION answer is 2

16.

Find the 10th term of GP whose first term is 2 and 8th term is -256

Answer»

Step-by-step explanation:

a = 2

ar^7 = -256

2r^7 = -256

R^7 = -128

r^7 = (-2)^7

r = -2

10th term A(10) = ar^9 = 2(-2)^9 = 2(-512)

= -1024

17.

alpha and beta are the zeroes of equation ax^2+bx+c=0 , find i)alpha ^2- beta ^2 ii) alpha ^6+ beta^6​

Answer»

ANSWER:

Step-by-step EXPLANATION:

HOPE you UNDERSTAND...................................................................................................../.....///////////////////////////////////////////////////////////////////////

18.

The mean and median of a distribution are 14 and 15 respectively. Thevalue of mode is​

Answer»

Answer:

17

Step-by-step explanation:

3median  = 2mean +mode

3 (15) = 2(14)   +   mode

mode  =  45  - 28

mode  =   17

19.

In the adjoining fegure ap -4 cm,bq-6cm and cr-5cm find perimeter of abc​

Answer»

Answer:

The perimeter of ABC is 30 cm

Step-by-step explanation:

Here, in the above triangle

Seg AB is the tangent at point P,

Seg AC is the tangent at POINT R

and

Seg BC is the tangent at point Q

Also,

BY USING TANGENT SEGMENT THEOREM :

TANGENT SEGMENTS DRAWN FROM AN EXTERNAL POINT TO A CIRCLE ARE CONGRUENT.

:. AP congruent AR

:. AP = 4 cm then AR = 4 cm

:. BQ congruent BP

:. BQ = 6 cm then BP = 6 cm

:. RC congruent QC

:. RC = 5 cm then QC = 5 cm

then,

:. AB = AP + BP ---(Points A,P & B are collinear)

:. AB = 10 cm

:. AC = AR + RC ---(Points A,R & C are collinear)

:. AC = 9 cm

:. BC = BQ + QC ---(Points B,Q & C are collinear)

:. BC = 11 cm

:. Perimeter of triangle = AB + BC + AC

:. Perimeter of triangle = 10 + 11 + 9

:. Perimeter of triangle = 30 cm

HOPE IT HELPS YOU !!

MARK ME AS BRAINLIEST .

20.

(1)A convex mirror used for rear view on automobile has a curvature of 6 metreif a bus is located 10 metre from this mirror find the position nature and size of the image.

Answer»

Answer:

HI GOOD morning how are you still there any chance of getting a long way from its use of the DAY and TIME to get a chance

21.

Find two rational numbers whose absolute value is 5/8,3/7,15/19 and 3/38​

Answer»

Step-by-step explanation:

GIVEN find two rational NUMBERS whose absolute value is 5/8,3/7,15/19 and 3/38​

  • Absolute value of a real number will be a positive value regardless of sign
  • Given We need to find two rational numbers for the given absolute value  

1. 5/8 = l – 5/8 l  

       5/8 = l 5/8l

2. 3/7 = l -3/7l

       3/7 = l 3/7 l

3. 15/19 = l – 15/19 l

      15/19 = l 15/19 l

4. 3/38 = l -3/38 l

       3/38 = l 3/38 l

Reference link will be

brainly.in/question/3618362

22.

If 3x-4y=7; 5x+2y=3 then value of 7x+5y is​

Answer»

Step-by-step EXPLANATION:

multiplying SECOND equation by 2

then we get 10x+4y=6

solving first and second equation we get

13x=13

then the value of X is 1

substitute x value in first equation we get

y=-1

substitute x and y value in 7x+5y

7×1+5×-1

7-5

2

23.

Please give me correct Explanation. ​

Answer»

\bf \pink{answer}

⭐see ATTACHMENT here ⭐

24.

Hey mates ....please help me it's urgentThis is a set ??Popular leaders of the country

Answer»

Answer:

No, it is not a SET.

Step-by-step explanation:

The reason is that the term POPULAR is relative and DIFFERS from person to person.

A set is a well defined collection.

Hope it helps you.

PLEASE mark as Brainliest.

25.

sum of digits of two digit number is 9.When the digits are interchanged the new number is greater than the original number by 9.Find the original number.​

Answer»

Given :

  • Sum of digits of TWO digit number is 9.
  • When the digits are interchanged the new number is greater than the original number by 9.

To FIND :

  • The original number.

SOLUTION :

Let the digit at the tens place be x.

Let the digit at the units place be y.

Original Number = (10x + y)

Case 1 :

The sum of tens digit and units digit is 9.

Equation :

\implies \sf{x+y=9}

\sf{x=9-y\:\:\:\:\bold{1}}

Case 2 :

When the digits of the two digit number are interchanged, the new number is greater than original number by 9.

Reversed Number = (10y +x)

Equation :

\implies \sf{10y+x=10x+y+9}

\implies \sf{10y-y=10x-x+9}

\implies \sf{9y=9x+9}

\implies \sf{9x+9=9y}

\implies \sf{9x-9y=-9}

\implies \sf{9(9-y) -9y=-9}

\implies \sf{81-9y-9y=-9}

\implies \sf{-18y=-9-81}

\implies \sf{-18y=-90}

\implies \sf{y=\dfrac{-90}{-18}}

\implies\sf{y=\dfrac{90}{18}}

\implies \sf{y=<klux>5</klux>}

Substitute, y = 5 in equation (1),

\implies \sf{x=9-y}

\implies \sf{x=9-5}

\implies \sf{x=4}

\large{\boxed{\bold{Ten's\:digit\:=\:x\:=\:4}}}

\large{\boxed{\bold{Unit's\:digit\:=\:y\:=\:5}}}

\large{\boxed{\bold{\purple{Original\:Number\:=\:10x+y=10(4)+5=40+5}}}}

26.

please answer me fast whomsoever answers fast I'll mark that person as brainnlest and this from the chapter rational numbers!!!​

Answer»

ANSWER:

Step-by-step EXPLANATION:

27.

If (2√3-√2)÷(√3+2√2)=m+n√6,find the value of m and n respectively..

Answer»

ANSWER:

Step-by-step EXPLANATION:

28.

If x + 1 = 2 cosa, y + = 2 cos B, then xy +=1) cos(a + b) 2) 2 cos(a +B)3) 2 sin(a +B) 4) sin(a +B)​

Answer»

ANSWER:

Answer is 2

HOPE IT WON'T HELP YOU

29.

If ∆ABC ~ ∆ DEF and angle A=30°; AngleB = 50° then Angle E + Angle F is equal to ____​

Answer»

Answer:

150°

Step-by-step EXPLANATION:

Given,

∆ABC~∆DEF, then:

In∆ABC and ∆DEF,

ANGLE A = Angle D = 30°

Angle B = Angle E = 50°

Angle C = Angle F = {180°-(30°+50°)} =100°

(By angle SUM PROPERTY of ∆)

therefore,

Angle E + Angle F = 100°+50°=150°

30.

If a motor boat can travel 30 km upstream and 28 downstream in 7h it can travel 21 km upstream and return in 5h find the speed of boat in still water and the speed of the streamPLZ answer fast and give step to step explaination​

Answer»

Answer:

Step-by-step explanation:

let he speed of boat be "x" and the speed of stream be"y"

* for upstream the speed will be = x-y

* for downstream the speed will be= x+y

according to the information-:

30/x-y + 28/x+y = 7  -------------(eq 1)

21/x - y + 21/x + y = 5   ---------(eq 2)

let :-

1/x-y= a          and           1/x+y = b

therefor the above equation will be CHANGED to:-

30A + 28b = 7

21a + 21b = 5    

on solving both the equation:-

a=1/6

b=1/14

now we know that

a= 1/x-y            and           b = 1/x+y

x - y = 6 ---- (eq 3)

x + y = 14 --------(eq4)

from solving eq -3 and eq- 4

x=10 (speed of boat)

y= 4( speed of stream)

31.

10/x+y+2/x-y=4;15/x+y-5/x-y=-2​

Answer»

Step-by-step EXPLANATION:

gggyggyyy547oiftbbyyrw224670ppoiyrewqasfhkllmvczzRYT77

32.

X + 1 by x is equal to 2 cos alpha Y + 1 by Y is equal to 2 cos beta then X Y + 1 by x y is equals to​

Answer»

ANSWER:

[email PROTECTED]₹3547

33.

The estimate d sum of 15,264; 7,427 and 9,382 when the number are rounded to the nearest 1,000isSolve it

Answer»

OK BYE for now I am in the HOUSE is in the house is in the house is in the house is in the house is in the house is in the house

34.

If alpha and beta are the zeroes of the polynomial x2-3x+k, such that alpha-beta=1, find the value of k

Answer»

<P>P(X) = x² - 3X + k

α , β are the ZEROES

αβ = c/a

αβ = k/1

1 = k/1

k = 1

35.

Write the square,making use ofthe above pattern a)111111² b)1111111²

Answer»

ANSWER:

a)111111111111

b)111111111111

36.

A negative integer raised to an odd positive power is ..............

Answer»

if the negative NUMBER is GREATER than POSITIVE then it will be negative if it is SMALLER than positive then it will be positive no HOPE it helps .....

37.

In all Indian examination held last year,1642395 students passed and 3539671 students failed. This year 718217 more students have appeared than that of last year. How many students have appeared in these two year?

Answer»

ANSWER:

No. of STUDENTS passed last YEAR = 1642395

No. of students FAILED last year = 3539671

718217 more students appeared than last year

Step-by-step explanation:

Total students appeared last year = No.of students passed + No. of students failed last year

= 1642395 + 3539671

= 5182066 students

Total students appeared in the CURRENT year

= 5182066 + 718217

= 5900283 students

38.

The square of which of the following numbers would be odd even number? Why

Answer»

ANSWER:

QUESTION INCOMPLETE MAT DALO

39.

Use Euclid division algonthmbto find H.C.F of 384 and 26

Answer»

Answer:

By using EUCLID division algorithm

384 = 26(14) + 20

26 = 20 (1) + 6

20 = 6 (3) + 2

6 = 2 (3) + 1

H. C. F of 384 and 26 is 2

hope it is HELPFUL

if it is mark it as brainliest

40.

A pair of linear equation 9x+12y+21=0 and px+qy+7=0 has infinitely many solution find the value of p and q

Answer»

Step-by-step EXPLANATION:

this MAY HELP you

41.

Round off to the nearest thousands 3278

Answer»

ANSWER:

3000 will be the answer

42.

Find 5 rational number between 3 / 5 and 5 / 6

Answer»

Answer:

16/30, 17/30 , 18/30, 19/30, 20/ 30

43.

Simplify (2+root3)(3+root5)

Answer»

Answer:

HOPE it MAY help u

please MARK it as a BRAINLIST answer

44.

(-3x10^4)x(2x10^-3) answer

Answer»
  1. answer

you R answer SEE that IMAGE it's your answer I hope it will HELP you

45.

How do you find out the angle of x??

Answer»

Answer:

x is the exterior angle for the GIVEN triangle

Exterior angle = Sum of opposite two interior angles.

=> x = 29+82 = 111°

PLEASE MARK BRAINLIEST

PLEASE FOLLOW ME

46.

What must be added to 5678 4698 to make 6824 572

Answer»

Answer:

56784698 cannot be added to any number to MAKE 6824572. as the GIVEN number VALUE is GREATER than the number value given in the result

47.

Convert the fraction 7/9, 11/12, 5/6, into like fraction

Answer»

HOPE it HELPS................

48.

Which segment is both a chord and a diameter? segment

Answer»

ANSWER:

LINE SEGMENT is both a CHORD and a DIAMETER segment.

49.

Explain why a rectangle is a convex quadriateral

Answer»

Answer:

The RECTANGLE is a convex QUADRILATERAL because of two diagonals which LIE in the INTERIOR of the rectangle.

I hope this will help you

please mark it as brainlist answer.

50.

Zeros of a polynomial 3x square-kx+6 is 3 find k

Answer»

\blue{\bold{\underline{\underline{Answer:}}}}

\green{\tt{\therefore{Value\:of\:k=11}}}

\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}

\green{\underline \bold{<klux>GIVEN</klux>: }} \\  \tt:  \implies  {3x}^{2}  - kx + 6 = 0 \\  \\  \tt:  \implies zeroes \: of \: polynomial = 3 \\  \\ \red{\underline \bold{to \: find: }} \\  \tt:  \implies value \: of \: k = ?

ACCORDING to given QUESTION :

\bold{as \: we \: know \: that} \\  \tt:  \implies  {3x}^{2}  - kx + 6 = 0 \\  \\  \tt \circ \: x = 3 \\  \\  \tt:  \implies 3 \times  {3}^{2}  - k \times 3 + 6 = 0 \\  \\ \tt:  \implies 3 \times 9 - 3k + 6 \\  \\ \tt:  \implies 27 + 6 - 3k = 0 \\  \\ \tt:  \implies 33 = 3k \\  \\ \tt:  \implies  \frac{33}{3}  = k \\  \\  \green{\tt:  \implies k = 11} \\  \\   \blue{\bold{some \: related \: formula }} \\  \orange{\tt \circ \: d = {b}^{2}  - 4ac} \\  \\ \orange{\tt \circ \: x =  \frac{ - b \pm \sqrt{d} }{2a} }