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.

Let E = {prime numbers less than 30} Work out n(E)

Answer»

ANSWER:

PRIME NUMBERS

Step-by-step EXPLANATION:

prime numbers

2.

Calculate the equivalent discount of two successive discount of 15% and 25%​

Answer»

ANSWER:

Here is UR ANS HAPPY to HELP

3.

Three coins are tossed simultaneously 150 times with the following frequency of different outcomes: Compute the probability of getting(a) at least two heads (b) maximum two heads (c) at most one head (d) 3 tails.

Answer»

Answer:

(d). 3 TAIL

Step-by-step EXPLANATION:

I think it can be HELPFUL

MARK me brainlist

4.

8-4a-2a³+a⁴ class 9 chapter 2​

Answer»

ANSWER:

PLEASE MARK me as a BRAINLIST

5.

3. Find the A, B values of the following 3 A 4+ 5 6 B9 4 0​

Answer»

ANSWER:

vaiwvsiueg1oohddiqp1ksb

6.

If x/y = (-1/3)^-3÷(2/3)^-4, find the value of: (x/y+y/x)^-1​

Answer»

ANSWER:

ddowvzlogxixglsghzdigk

7.

Show that the following equation and i need the answer ​

Answer»

Step-by-step EXPLANATION:

à²+b² b²+c². c²+à²

X. × X. × X

———————————————

a⁴. b⁴. c⁴

X. X. X

a²+² b²+² c²+²

X

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

a⁴b⁴c⁴

X

a⁴b⁴c⁴

X

-----------

a⁴b⁴c⁴

X

so =1

plz answer my qué BAPU was in doing LENDING business adjevtive and type

8.

If the polynomials P(t) =3 + 42 + 3 − 4 and Q(t) = 3 − 4 + leave the same remainder when divided by (t - 3), then find the value of a.​

Answer»

how can i SOLVE UR QUESTION?

9.

) प्रसंगलेखन-पुढील प्रसंगी तुम्ही उपस्थित होतात अशी कल्पना करून प्रसंगाचे लेखन करा.एक्काहत्तरी सत्कार समारंभआजोबांचा एक्काहत्तरावा (७१)वा वाढदिवसऔक्षण-सत्कार दि.१३ मार्च,दुपारी ४ वाजताआजोबांच्या कार्यकर्तृत्वाचा आढावानातेवाईकांची उपस्थितीकसबा पेठ पुणे येथील राहते घर​

Answer»

ANSWER:

gooooooooooooooooooooooooooooooooooooooooooooooooooooood

Step-by-step EXPLANATION:

10.

6 + 2√11 / 5-3√11 conjucate to rationalize denominator:-​

Answer»

ANSWER:

In attachment I have answered this question.

I hope it's HELP you..

Know more ALGEBRAIC Identities:-

(a+ b)² = a² + b² + 2ab

( a - b )² = a² + b² - 2ab

( a + b )² + ( a - b)² = 2a² + 2b²

( a + b )² - ( a - b)² = 4ab

( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca

a² + b² = ( a + b)² - 2ab

(a + b )³ = a³ + b³ + 3AB ( a + b)

( a - b)³ = a³ - b³ - 3ab ( a - b)

If a + b + c = 0 then a³ + b³ + c³ = 3abc

11.

The measurements of height in meter of 5 trees are given 92.8, 94, 42.8, 96.2, 13.6 what is the average height of a tree

Answer»

Step-by-step explanation:

Given :-

The measurements of height in meter of 5 trees are given 92.8, 94, 42.8, 96.2, 13.6

To FIND:-

What is the average height of a TREE?

Solution:-

Given that

The measurements of height in meter of 5 trees are :92.8, 94, 42.8, 96.2, 13.6

SUM of all measurements of HEIGHTS of trees

= 92.8+94+42.8+96.2+13.6

=339.4 m

Number of trees = 5

We know that

Average= Sum of all observations/Number of all observations

Average = 339.4/5

Average = 67.88 m

Answer:-

The average height of the tree for the given problem is 67.88 m

Used formula:-

  • Average= Sum of all observations/Number of all observations
12.

In a GST chain, a dealer X purchases an article for Rs 8000 and supplies it to another dealer Y(in the same state) at a profit of Rs 1000.The dealer Y sells it to a customer Z at a profit of Rs 2000. If the rate of GST is 12% and if all transactions were intrastate, Calculate (i) ITC for dealer X (ii) Input Tax payable by dealer Y (iii) Total cost price of the article for customer Z (iv)Output GST for customer Z.​

Answer»

Answer:

0

Step-by-step EXPLANATION:

13.

Prove that(cos theta – sintheta+1)/(costheta + sintheta+1)= cosectheta + cottheta​

Answer»

Answer :-

solving LHS,

→ (cosA - SINA + 1)/(cos A + sinA - 1)

dividing numerator and denominator by sinA

→ (cosA / sinA - sinA/sinA + 1/sinA) / (cosA / sinA + sinA/sinA - 1/sinA)

→ (cot A + COSEC A - 1) / (cot A - cosec A + 1)

putting 1 = cosec²A - cot²A in numerator,

→ {cot A + cosec A - (cosec²A - cot²A)} / (cot A - cosec A + 1)

→ using (a² - b²) = (a + b)(a - b)

→ (cotA + cosecA)(1 - cosecA + cotA) / (cot A - cosec A + 1)

→ cotA + cosecA = RHS (PROVED)

Learn more :-

It SINO + tano = m

tano - sino an

Then express the

values of m²-n² in terms

of M and N

brainly.in/question/13926306

tanA/(1-cotA) + cotA/(1-tanA)

brainly.in/question/16775946

14.

Find the range of the data 91,82,100,96,65,82,76,79,90,46,64,72,68,66,48,49​

Answer»

Answer:

54

100-46

Step-by-step EXPLANATION:

highest-lowest NUMBER

15.

If difference between C.I. and S.I. is 21 with 5% annual rate in 2 years,Find the principle ?​

Answer»

Answer:

the product of two rational NUMBER is 15/56 . if ONE of the number is -5/48 ,FIND the other

16.

The difference of the two numbers is 72 and their quotient is 10

Answer»

The DIFFERENCE between two numbers is 72 and their quotient is 10 then the numbers are 80 and 8

Solution:

Let the two numbers be X and y

Given that difference between two numbers is 72

So x + y = 72  ---- EQN 1

x - y = 72

x - 8 = 72

x = 72 + 8

x = 80

17.

Which of the following are rational numbers?a) -3 b) -2/3 c) 4/0 d) 0/-5please answer me please guys help me on this question and main, listen only answer typing ok.​

Answer»

Answer:

ANS is OPTION ( C ) 4/0

Ask me Any Question Message Now

My Inst a GRAM ID Vinit Sandhu00

18.

from the top of a 9 meter high building the angle of elevation of the top a cable pole is60° and angle of depression of its foot is 45° determine the height of the cable pole​

Answer»

Step-by-step EXPLANATION:

I HOPE it WOULD be HELPFUL for you

19.

State whether True or False :(a) All rectangles are squares.(b) All rhombuses are parallelograms.(c) All squares are rhombuses and also rectangles.(d) All squares are not parallelograms.(e) All kites are rhombuses,(6) All rhombuses are kite.(8) All parallelograms are trapeziums.(h) All squares are trapeziums.​

Answer»

\huge \sf\underline\red{Answer}

(a) All rectangles are squares. - False

(B) All RHOMBUSES are parallelograms. - TRUE

(c) All squares are rhombuses and also rectangles. - True

(d) All squares are not parallelograms. - False

(e) All kites are rhombuses. - False

(f) All rhombuses are kite. - True

(g) All parallelograms are trapeziums. - True

(h) All squares are trapeziums. - True

Hope It HELPS You!

20.

Show that ^ is = 1rational numbers​

Answer»

SOLUTION:

\text{We need to prove that,}\\\\:\longrightarrow\dfrac{[x^{(a+b)}]^2\times[x^{(b+c)}]^2\times[x^{(c+a)}]^2}{(x^ax^bx^c)^4}=1\\\\\text{Solving LHS,}\\\\:\implies\dfrac{[x^{(a+b)}]^2\times[x^{(b+c)}]^2\times[x^{(c+a)}]^2}{(x^ax^bx^c)^4}\\\\\text{We know that,}\\\\:\hookrightarrow p^m\times p^n=p^{m+n}\\\\:\implies\dfrac{[x^{(a+b)}]^2\times[x^{(b+c)}]^2\times[x^{(c+a)}]^2}{(x^{(a+b+c)})^4}\\\\\text{We know that,}\\\\:\hookrightarrow p^{m^n}=p^{mn}\\\\:\implies\dfrac{[x^{2(a+b)}]\times[x^{2(b+c)}]\times[x^{2(c+a)}]}{(x^{4(a+b+c)})}\\\\:\implies\dfrac{[x^{2(a+b)+2(b+c)+2(c+a)}]}{(x^{4(a+b+c)})}\\\\:\implies\dfrac{[x^{2(a+b+b+c+c+a)}]}{x^{4(a+b+c)}}\\\\:\implies\dfrac{x^{2(2a+2b+2c)}}{x^{4(a+b+c)}}\\\\:\implies\dfrac{x^{4(a+b+c)}}{x^{4(a+b+c)}}\\\\\bf{:\implies 1=RHS}\\\\\text{\bf{Hence Proved!!!}}

FORMULAE USED:

  • p^m\times p^n=p^{m+n}
  • p^{m^n}=p^{mn}
21.

Varsha is making different styles of colour pattern by drawing 5 vertical lines from left to right. She has decided to draw 3 vertical lines with crayon colours and 2 vertical lines with water colours. She has 3 different water colours and 2 different crayon colours (all 5 colours are distinct) at herdisposal How many different patterns can she create using these colours if repetition of colours is allowed? (The page on which vertical stripes aremade is not rotated while making or observing later)​

Answer»

Given : Varsha is MAKING different styles of colour pattern by drawing 5 vertical lines from left to right.

She has decided to draw 3 vertical lines with CRAYON colours and 2 vertical lines with WATER colours. She has 3 different water colours and 2 different crayon colours (all 5 colours are distinct) at her disposal

To Find : different patterns she can  create using these colours if repetition of colours is allowed

Solution:

3 lines with crayon

2 lines  with water colors

Total Lines = 5

3 lines out of 5 can be selected in ⁵C₃ = 10 way

Hence 10 ways of selecting lines

Now each water color line can be colored in  3 * 3  = 9 ways

each crayon  color line can be done in   2 ways  Hence 3 lines can be in

2 * 2 * 2 = 8 ways

Total Ways = 10 * 9 * 8  = 720  ways

720 different patterns can be created,

learn More:

find the number of ways in which n distinct balls can be put into three ...

brainly.in/question/13409840

Find the number of ways of drawing 9 balls from a bag that has6 red ...

brainly.in/question/13094556

7. Find the number of ways of drawing 9 ballsfrom a bag that has 6 ...

brainly.in/question/13121350

22.

If f(x) = x*2-1, solve f (x+2)-f(x-2) =16​

Answer»

ANSWER:

(X*2-1+2)-(x*2-1-2)

3x-x=16

2x=16

x=16/2

x=8

23.

PLease solve it, it is for class 3rd​

Answer»

Answer:

4000+700+10+8

7000+0+90+8

5000+0+0+2

6000+500+10+10

3000+400+50+6

mark me as BRAINLIEST

24.

How many hours in 365 days ​

Answer»

Answer:

1 day = 24hours

365 DAYS = 365 × 24

\huge{\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}

=> 8,760 hours

25.

Price of 15×2/5 liters milk is Rs 231, then find price of 2 liters milk.​

Answer»

Answer:

We need to find how MANY litres is worth 231 RS.

So 15x2/5

Cancel 15 and 5 so we get

3x2 = 6

So 6 litres of MILK = Rs.231

Now find PRICE of 1 litre of milk = 231 ÷ 6

Which is equal to 38.5 Rs.

So price of 2 litres of milk = Rs. 38.5 x 2

= Rs. 77

Hope it HELPS

26.

Voice change. I know that he did the work​

Answer»

it is KNOWN to me that he did the WORK.

27.

7(2y-8)=7(2y−8)=\,\,14147(2y-8)= 14

Answer»

Answer:

7(2y-8)=14y-56

7(2y−8)=14y-56

\,\,14

147(2y-8)= 14

28.

A tricycle is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would been 20%. Find its cost price​

Answer»

Answer:

180+504+024+60+498+5688+458+159+5488+55

29.

A joiner has piece of wood 2m long he needs to cut lengths of wood that measure 50 cm each hoe many 50cm lengths can be cut from the piece of wood

Answer»

Answer:

200

Step-by-step EXPLANATION:

CONVERT 2M to CM then divide by 50 then multiply by 50

30.

Temp of mixture is 15 degrees C and mix is cooled to -24 degrees C =

Answer»

SORRY I don't KNOW this ANSWER

31.

Convert the following decimal into rational number :(a) 1.16(b) 2.3*Answer in full from* ​

Answer»

Answer:

116

203

answer HAI JALDI LIKHO

32.

if M=(8,5) is the midpoint of the line segment joining v=(9,-8) and w=(a,b) find the coordinates of w?

Answer»

Answer:

Here is your answer

Step-by-step explanation:

mid PT formula - X1 + x2 ÷ 2 ; Y1 + y2 ÷ 2

(8,5) = ( 9 + a / 2 ; -8 + B / 2)

9+a /2 = 8  ;   -8 + b / 2 = 5

a + 9 = 16  ; b - 8 = 5

a = 7 , b = 18

w ( 7,18)

33.

फाइव थ्री एक्स माइनस 5 डिवाइडेड बाय 5 माइनस 7 एक्स माइनस टू डिवाइडेड बाय टू इज इक्वल टू फाइव ​

Answer»

ANSWER:

hiiiiiiiiiiiiiiiiiiiiiiiii

34.

What is gsheygeushsjskiwyeiwod​

Answer»

Answer:

thdf ghbbvg rtyfdr and fyuhg do 6AM the RENOWNED vaishnav and its own web

Step-by-step explanation:

SOUNDS GOOD and I ttttfr you a lot and I THINK that you

35.

Solve the quadratic equation : x + 9/x +6 = 0; x = 0​

Answer»

ANSWER:

x=-9

Step-by-step EXPLANATION:

x+9

–––– = 0

x+6

x+9=0

x=-9

PLEASE MARK ME AS BRAINLIST

36.

c) A tower has a flag pole on it, and the tower has a height of 40 m. The angle of elevationof the top of the tower and the flag pole are respectively 30° and 45° to an observerstanding on the horizontal line from the foot of the tower. Find the length of the flagpole correct to two significant figures.[4]​

Answer»

ANSWER:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

37.

In the figure angel B=90°,angel A= Angel C and BC=10cm , then find the value of tan 45°​

Answer»

Answer:

Abe HOULE TERA question is out of sallybus HAI

tere maths ke teacher kon hai re

tujhe ITNA bhi ni malum

38.

2 subtracted from 1/4 of a number gives 1.what is the number

Answer»

Answer:

12

Step-by-step EXPLANATION:

x/4-2=1

x/4=1+2

x/4=3

x=3(4)=12

Hence,the NUMBER is 12.

39.

What is the additive inverse of -478 ? (a) –(-478) (b) -478 (c) 1/478 (d) -1/47

Answer»

ANSWER:

the CORRECT option is ( a )

additive inverse of -478 is 478

( a ) -(-478)= 478

I hope it's help you

please MARK me as brainlist and give a THANK also

40.

1.)X²-x³+2y²2. 5(x+2)3x-83. X²+y²4. 5(3x+2)=255. 3x-2y

Answer»

ANSWER:

?????????????????????

41.

The.place.100timessmaller.then.the.fence.place

Answer»

Answer:

Hello,

Once we understand circumference we're almost home.

The formula is:

Circumference = pi (3.14) times diameter

So LET's find the diameter of the tower.

10 = 3.14*D

Divide 3.14 to get:

Diameter is approx 3.18 meters for the tower so we now know with the fence the diameter is 7.18 meters.So now we can find the circumstance:

Circumference = 3.14 times 7.18

Circumference = 22.55 meters approx

Step-by-step explanation:

The circumference of the tower is your 10 meters; we need to find a radius

2r%2Api+=10m

r=10+m%2F2pi

r=5m%2F3.14

r=1.59m

a fence that surrounds a tower makes a CIRCLE that will have a radius of r1=r%2B2=1.59%2B2=3.59 meters (radius MEASURED from the CENTER of the tower), and will have a circumference of:

2r1%2Api+=+2%2A3.59%2A3.14=+22.55m which is the length of a fence

42.

What is the sum of (-11)+(-3).

Answer»

ANSWER:

_+14 is the answer of the question___________________

43.

The line y=4 meets the line 2x + y= 8 at the point A. Find the coordinates of A

Answer»

(2,4)

Step-by-step explanation:

PUT y= 4 in the given line equation then you will GET X= 2

44.

If X is a geometric mean of 16 & 4 then find the value of X

Answer»

ANSWER:

An,ZG,safjghakjrhg.aer.jht

Step-by-step EXPLANATION:

45.

X=1/3-√2 find value of x-1/x​

Answer»

Step-by-step EXPLANATION:

gixifsaruruaruarurusruqeuequeajdkgdjfaureuktsktzkxgkg

46.

What is the full name of Great Mathematician ARYABHATTA​

Answer»

Aryabhata, ALSO called Aryabhata I or Aryabhata the Elder, (born 476, possibly Ashmaka or Kusumapura, India), ASTRONOMER and the earliest Indian mathematician whose work and history are AVAILABLE to modern scholars.

Born: 476; Kusumapura?, India

Notable works: “ARYABHATIYA”

Died: c. 550

47.

What is the distance between the points (-1, 7) and (6, 7) in the xy-plane?

Answer»

ANSWER:

my ANSWERS

Step-by-step explanation:

SOMEONE SUGGESTED me how to increase point

my POINTS -480

48.

Express cos4A in terms of sin2A​

Answer»

ANSWER:

wait. iso done this question SOMETIME before wait WIAT

49.

in a school the ratio of the number of the boys to the number of girls 4:5 when 100 girls leave the school the ratio becomes 6:7 find the number of boys in the schoo​

Answer»

Answer:

Let number of boys = 4X and number of girls = 5X

According to the question

4X / (5X - 100) = 6/7

⇒ 28X = 6 ( 5X - 100 )

⇒ 28X = 30X - 600

⇒ 2X = 600

∴ X = 600/2 = 300

∴ Number of boys = 4X = 4 x 300 = 1200

50.

Solve for the following equation for 0°≤∅≤360° 1 + sin∅cos²∅ = sin∅

Answer»

Step-by-step EXPLANATION:

Given :-

1 + SIN∅ Cos^2∅ = Sin∅

To find:-

Solve for the following EQUATION for 0°≤∅≤360° ,

1 + Sin∅Cos^2∅ = Sin∅

Solution:-

Given that

1 + Sin∅Cos^2∅ = Sin∅

We know that

Sin^2 A + Cos^2 A = 1

Cos^2 A = 1-Sin^2 A

=> 1+ Sin∅(1-Sin^2∅) = Sin∅

=> 1+ Sin∅- Sin∅ Sin^2∅ = Sin∅

=> 1+ Sin∅- Sin^3∅ = Sin∅

=>1+ Sin∅- Sin^3∅ - Sin∅ = 0

=> 1- Sin^3∅ = 0

=> Sin^3∅ = 1

=> Sin∅ = 1

=> Sin ∅ = Sin 90°

=> ∅ = 90°

Answer:-

The value of ∅ for the given problem is 90°

Used formulae:-

  • Sin^2 A + Cos^2 A = 1

  • Sin 90° = 1