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.

If sin (A-B) = and cos (A+B) = , 0° < A+B 90° , find A and B.​

Answer»

Answer:

FIRST you mark me as BRAINLIST ALSO LIKE and give me a STAR.

2.

3. The sum of first two angles of a triangle is 108° and the sum of the last two angles is132º. Find the angles.​

Answer»

{\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}}

Question

⠀⠀⠀⠀• The sum of first two angles of a triangle is ⠀⠀⠀⠀⠀108° and the sum of the last two angles is

⠀⠀⠀⠀⠀132º Find the angles.

Answer

⠀⠀⠀⠀⠀•∠A= 48°

⠀⠀⠀⠀⠀• ∠B= 60°

⠀⠀⠀⠀⠀• ∠C = 72°

Given

⠀⠀⠀⠀• Sum of first two angles is 108°

⠀⠀⠀⠀• Sum of last two angles is 132°

To CALCULATE

⠀⠀⠀⠀• Angles __?

Step by step explanation

⠀⠀⠀⠀⠀

Let The angles of triangles be A,B,C

A+B+C = 180° ( {\sf{\red{Angle\: Sum \: Property}}} )

∠A+∠B= 108° ( {\sf{\red{Given}}} )

PUTTING,

➫ 108° + ∠C = 180°

➫ ∠C= 180° - 108°

{\boxed{\blue{\tt{➫∠C= 72° }}}} ______________(1)

∠B+∠C= 132°

Putting value of C from eq 1

➫∠B+72°=132

➫ ∠B = 132-72

{\boxed{\blue{\tt{➫ ∠B= 60°}}}} ______________(2)

∠A+∠B= 108°( {\sf{\red{Given}}} )

Putting value of B from eq 2

➫ ∠A+60°= 108°

➫ ∠A = 108°-60°

{\boxed{\blue{\tt{➫∠ A= 48°}}}}

{\huge{\underline{\underline{\sf{\blue{Hence :-}}}}}}

⠀⠀⠀⠀⠀•∠A= 48°

⠀⠀⠀⠀⠀• ∠B= 60°

⠀⠀⠀⠀⠀• ∠C = 72°

______________________________________________

3.

10 पर्चियो पर 1से 10 तक संख्याए लिखी हुई है (एक पर्ची पर एक सख्या ) | बक्से में पर्चियो को अच्छी प्रकार से मिलाकर उसमे से एक पर्ची निकाली जाती है|क) संख्या 5 प्राप्त होने की प्रायिकता क्या होगी| ???ख) 6 से बडी एक संख्या प्राप्त होने की प्रायिकता क्या होगी ???

Answer»

number of SAMPLE SPACE = 10

no. of ways of DRAWING 5 = 1

probability = 1/10

numbers bigger tjan 6 = 7,8,9,10 = 4 numbers

probability = 4/10 = 2/5

4.

If one zero of the quadratic polynomial 2x² - (3k +1)x - 9 is negative of the other, then thevalue of k is1)-1/32) 33)1/44)-1/3​

Answer»

Answer:

BRO the answer is -1/3

i cant GIVE EXPLANATION sorry

5.

2. If the angles of a triangle are in the ratio 1 : 2:3, then find the measure of all the threeangles​

Answer»

Answer:

Here is your Answer,

1x = 30

2x = 60

3x = 90

Step-by-step explanation:

LET the number be x

1x , 2x , 3x

SUM of all angles of TRIANGLE is 180°

1x+2x+3x = 180

6x = 180

x = 180/6

x = 30

1x = 1 × 30

= 30

2x = 2 × 30

= 60

3x = 3 × 30

= 90

6.

What is the difference between the place value of the,Two eight in the 878513

Answer»

Answer:

the difference between the PLACE VALUE of the eight is THOUSANDS

7.

5 /X-1 1/ 4-2 =26/x-1 - 3/4-2 =10

Answer»

Solve LINEAR or quadratic inequalities with our free step-by-step algebra CALCULATOR. ... X 2+5 x +6=0 ... Example 1 Determine if the value 3 is a SOLUTION of the equation. 4x - 2 ... x-2+2 =10+2.

8.

28. The length of the rectangular parkis 250 m and breadth is 175 m. Whatis the perimeter of the rectangularpark?850 m750 m125 m100 m​

Answer»

Answer:

2(l+b)

= 2(425)

= 850m

Hope this HELPS you !!!!

MARK BRAINLIEST if it is helpful.

9.

P-3/p+4=p+1/p-2options are a.1/5b.2/5

Answer»

ANSWER:

The answer is a OPTION B

10.

The opposite angles of a parallelogram are (3x +5 )and (61-x) Find themeasure of four angles.Can the answer be 176 and 4.

Answer»

I GUESS 176 is the ANSWER......

11.

1. Find the LCM of the following numbers by the prime factorization method:(a) 48 ,64 ,72 .​

Answer»

the ANSWER is given above , but not SURE about the answer , still tried , HOPE it HELPS u

12.

6. The value of a house decreases every year by 10%. If the value of the house is 24,50,000 find its value after two years,please answer it correctly​

Answer»

ANSWER:

PLEASE MARK as BRAINLIST ......

13.

Please solve and tell..please tell...correct answer..will mark your answer as brainliest​...please...solve and tell..​

Answer»

ANSWER:

hope the attachments HELP you.

PLEASE FOLLOW me.

14.

4. The length and breadth of a rectangle arex2 + 5xy + 2y2 and 2x2 - 6xy - 4y2,respectively. Find the area of the rectangle.If the oltit​

Answer»

ANSWER:

pls PROVIDE the whole QUESTION or ELABORATE it

Step-by-step explanation:

but according , to RECTANGLE if we will find the area then it will be = x2 - xy - 2y2 , the whole answer is provided in the question

15.

20. Find the length of the diagonal of a square whose area is 128 cm Also, find its perimeter.21. The area of a square field is 8 hectares. How long would a man take to cross it digonally waking with speed of 4kmph?22. The cost of harvesting a square field at 900 per hectare is 8100. Findthe cost of putting a fence around it at rupee18find its perimeter.​

Answer»

20. The area of a square is one side squared.

Let us consider:-

  • A side is x cm.

The GIVEN area is 128 cm².

This implies that:-

\sf{\to x^2=128}

\sf{\to x=\sqrt{128}}

\sf{\to x=\sqrt{2^5}}

\sf{\therefore x=4\sqrt{2}} cm ...(1)

Here, the diagonal of a square is always x × √2.

\sf{\therefore \sqrt{2} x=8} cm (ANSWER)

Here, the perimeter of a square is always 4x.

\sf{\therefore 4x=16\sqrt{2} } cm (ANSWER)

21. The area of a square is one side squared.

Let us consider:-

  • A side is x m.

The given area is 80000 m².

This implies that:-

\sf{\to x^2=80000}

\sf{\to x=\sqrt{80000} }

\sf{\to x=\sqrt{8\times 10^4}}

\sf{\to x=200\sqrt{2} } m

\sf{\therefore x=\dfrac{\sqrt{2} }{5} } km ...(1)

Now

Here is the definition of speed.

\sf{\to s=\dfrac{d}{t} } (here, km/h)

As per the question:-

\sf{\to 4=\dfrac{\sqrt{2} }{5} \times \dfrac{1}{t} }

\sf{\to t=\dfrac{\sqrt{2} }{5\times 4}}

\sf{\therefore t=\dfrac{\sqrt{2} }{20}  } HOURS (ANSWER)

22. Given that:-

  • (Cost):(FIELD)=1:9
  • The cost of putting the fence is 18.
  • The field is a square.

This results in insufficient information, because there is no area of field.

This problem cannot be solved. (ANSWER)

Extra Information

  • Such problems with insufficient information, cannot be solved.

For example:-

"A captain owns 26 SHEEP and 10 goats. How old is the captain?"

  • A physist does not memorize any formula. (Quora Answer)

For example, we used the definition.

\sf{\to s=\dfrac{d}{t}}

Formulas are derived from definitions, they don't need to memorize but basics.

The derivation would look like this:

\sf{\to d=st\:\&\:t=\dfrac{d}{s} }

Thanks for reading!

16.

The students of two classes are supposed to stand in two rows having same no. of students. there are 40 and 76 students in the classes. how many maximum number of students will stand in each row.answer fast..!!​

Answer»

Answer:

58

Step-by-step explanation:

58 STUDENTS will STAND in each ROW

17.

Compare the quadratic equation Y²+ 2v3y-9=0with standard form and write the values ofa, b, c.​

Answer»

ANSWER:

where is a,B and C in the EQUATION

18.

23. From the natural numbersbetween 2 to 12, which fraction ofthem are Prime numbers? *O 2/33122/12O 5/11​

Answer»

ANSWER:

2/12 is the answer of QUESTION.

19.

Which pair of given integers have their sum as -11?6 and 5-6 and -5-6 and 56 and -5​

Answer»

ANSWER:

a

Step-by-step EXPLANATION:

PLEASE MARK as BRAINLISTS

20.

Provide the numben such that 4/5x______= 8/20(b) The simple form of the number obtained is____ plzz tell anybody ​

Answer»

ANSWER:

a)4/5 X=8/20

x=[8/20]/[4/5]

x=[8/20]*[5/4]

x=40/80

b)1/2

Step-by-step EXPLANATION:

21.

If one zero of the quadratic polynomial x^2+5r+k is 3, then the other zero is1) -242) 53) -54)-8​

Answer»

ANSWER:

5

Step-by-step explanation:

PLEASE FOLLOW me and MARK as the brainliest answer

22.

If points ( x, 0), (0, y) and (1, 1) are collinear,then(A) x + y = x y(B) x2 + y2 = xy(C) x + y + x2y2 = 0(D) None of these​

Answer»

ANSWER:

A.

Step-by-step EXPLANATION:

please the attached solution. I matched the slope of LINE CONNECTING p1p2. to p2p3

23.

If P (A) = 12, P (B) = 13, P (AB) = 14, Find the value of P (A+B).

Answer»

DONT UNDERSTAND the question PLSE rewrite it nicely

24.

(b) x = 3, y = 4 is the solution of the pair of linear equations: [1](2x + y = 10 and 3x – y = -5; 3x + y = 13 and 2x –y = -2; x + 2y = 11 and 3x – y = 5; x + 3y = 7 and 2x – y = 2)​

Answer»

Answer:

I have not any ANSWERS this answer when I get answers of THISQUESTION I also SND answer of this question

if you are interested in my answer plz GIVE me LIKE

25.

An aircraft is picked up by two radar station,P and Q, which is 100 km apart. if from station P, if the air aircraft can be viewed at an 30° from station P and from station Q at an angle 60°. find the distance the aircraft is from station P​

Answer»

ANSWER:

IDK

Step-by-step EXPLANATION:

idk

26.

I will thanh youI you will do this fastThree resistances R1, R2 and R3 are joined such a way that current is not getting divided derive which combination is obtain?​

Answer»

ANSWER:

your THANK SPELLING is not CORRECT

27.

Vo4G+3:20 PM -46Q 1.A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted andrecast into a sphere. The radius of the sphere is :1) 4.2 cm2) 2.1 cm3) 2.4 cm4) 1.6 cm1. Option2. Option3. Option4. OptionAnswer:1234Al for RouiSNext​

Answer»

Answer:

\bigstar{\bold{Option\:2:\:2.1\:cm}}

Step-by-step EXPLANATION:

\Large{\underline{\underline{\bf{Given:}}}}

  • Height of cone(h) = 8.4 cm
  • Radius (r) = 2.1 cm

\Large{\underline{\underline{\bf{To\:Find:}}}}

  • Radius of the sphere

\Large{\underline{\underline{\bf{Solution:}}}}

FIRST we have to find the volume of the cone

→ Volume of the cone is given by the formula,

  Volume of the cone = 1/3 × π × r² × h

→ Now we have to find the volume of the sphere

→ Volume of the sphere is given by

  Volume of the sphere = 4/3 × π × R³

→ By given ,

  Volume of cone = Volume of sphere

SUBSTITUTING the VALUES we get,

   1/3 × π × r² × h = 4/3 × π × R³

→ Cancelling 1/3 and π on both sides,

   r² h = 4 R³

→ Substituting the values,

  2.1 × 2.1 × 8.4 = 4 R³

  4 R³ = 37.044

     R³ = 37.044/4

     R³ = 9.261

     R = ∛9.261

     R = 2.1 cm

→ Hence the radius of the sphere is 2.1 cm

\boxed{\bold{Radius=2.1\:cm}}

→ Therefore option 2 is correct.

\Large{\underline{\underline{\bf{Notes:}}}}

→ Volume of a cone is given by,

   Volume of a cone = 1/3 × π × r² × h

→ Volume of a sphere is given by

   Volume of a sphere = 4/3 × π × r³

28.

7. If two parallelograms PQAD and PQBC are on the opposite sides of FQ.methat ABCD is a parallelogram​

Answer»

Answer:

Step-by-step explanation:

pqad is a parallelogram.

then AD is parallel to pq and ad = pq(opp. sides of parallelogram) _(1)

pqbc is a parallelogram.

then BC is parallel to pq and bc = pq.(opp. sides of parallelogram)_(2)

from 1 and 2 -

ad parallel to pq parallel to bc and ad=pq=bc

thus ad parallel to bc and ad = bc

then one PAIR of opp .sides are equal and parallel

thus abcd is parallelogram

29.

Evaluate the matrix[secθ -tanθ][-tanθ secθ]

Answer»

Answer:

1

Step-by-step EXPLANATION:

SOLUTION ATTACHED in PHOTO

30.

(1) Prove that cos? 40º cos? 50º = 1(ii) Evaluate si 20° cos 70° + cos 20° sin 70°(iii) Evaluate son 400 sm 50° cos 40° cos 50°​

Answer»

ANSWER:

TUBA tuba don't KNOW.....

31.

Colimcolumn I1 3 6 + 14i) 38+62)1i;) (+8)+(30cly EDICOa) 26b) 12c > -16​

Answer»

C OPTION ...................

32.

16The area of a square is of the area of a circle. The ratioTCof the side of the square to the diameter of the circle is[CTET 2014](1) 3:1 (2) 2:1 (3) : 1 (4) v2 :1​

Answer»

Step-by-step EXPLANATION:

R^2=2πR^2

1:2π

hope this HELPS you

33.

What are the Factors of 181

Answer»

Answer:

1 and 181.

hope this HELPS U..

34.

D Peach Street and Cherry Street are parallel. Apple Street intersects them, asshown below:Apple StreetPeach Street2→ Cherry StreetIf m2 1 = (2x + 36)”, m22 = (7x - 9)", what is m 1?​

Answer»

ANSWER:

in which STEP we WANT to answer

35.

6. Observe the displacement-time graph givenbelow and calculate the distance coveredin the first 4 seconds. Also calculate the netdisplacement at the end of the journey at12 seconds​

Answer»

ANSWER:

to calculate the GRAPH we want to ADD the DISPLACEMENT of the ends.

36.

Thus, the given183' 8' 4' 8' 6of theExample 8: Suman reads 30 pages of a story-book containing 120 pages. Ayushi readssame story-book. Who reads less ?30 = 1 and the fraction ofUnit-1: Numbesods​

Answer»

I can't understand the question

Please send the question with no SPELLING mistakes or any extra WORDS

37.

3 ( x + 7 ) =18tiygbykggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Answer»

the ANSWER is

3x+21=18

3x=18-21

3x=-3

x=-3/3

x=-1

HOPE IT HELPS YOU OUT

MARK ME AS BRAINLIEST PLEASE

THANK MY ANSWER

38.

Ronnie bought 4 tickets to a concert for $84. How much will it cost for 7 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:Number of Tickets 4 5 6 7Cost $84 $105 $126 ?(3 points)

Answer»

Answer:

84/4=21

one ticket is 21 rupee

7 tickets is = 21*7= 147

7= 147

if you are interested in my answer plz give me like and ALSO FOLLOW me then I followed you

39.

3 + √23 is an ____________ number

Answer»

Step-by-step explanation:

3 + √23 is an IRRATIONAL NUMBER

40.

Q 1 - 3p = 20Q 2 - 3m + 7 = 1

Answer»

ANSWER:

Q1 - 3p = 20

20÷ -3 = the value of p

answer for Q1 is - 6.67 this is the value of p

Q2 - 3m + 7 = 1

- 3m = 1 - 7

- 3m = - 6

the value of m is 2

Step-by-step EXPLANATION:

in Question 2 the sign change when we TAKE them to another side

I HOPE THIS HELPS

41.

40.एक सेबों के बगीचे में 50 पेड़ों पर लगे सेबों की संख्या निम्न है :सेबों की संख्या50-6090-10060-70/70-8080-90पेड़ों की संख्या41218106बगीचे में एक पेड़ पर लगे सेबों की संख्या का माध्य ज्ञात कीजिए ।​

Answer»

Step-by-step EXPLANATION:

QUESTION is not CLEAR (-_-)

42.

23. From the natural numbersbetween 2 to 12, which fraction ofthem are Prime numbers?*O 2/3O 3/2O 2/12O 5/11​

Answer»

Answer:

5/11

5 PRIME no. s= 2,3,5,7,11

total no. s=2,3,4,5,6,7,8,9,10,11,12

FOLLOW

THANK

MARK AS BRAINLIEST

43.

Question:- A car covers a distance of 37.8 km in 1.4 hours at uniform speed.Find: a. the speed of the car .b. The distance car will cover in 5 hours .Please answer with full explanation! Thank you❤

Answer»

ANSWER:

TOTAL distance/total TIME

44.

If p, q, r and s are in A.P. then r – q is(a) s – p(b) s – q(c) s – r(d) none of these​

Answer»

d. NONE of these...

INSTA ID- @i_amsuzain

45.

TP and TQ are the two tangents to a circel with center O, so

Answer»

BROTHER PLEASE WRITE PERFECT question

This is not perfect question ow can I help you

46.

2) Write the conjugates of the followingcomplex numbersi) 3+1 ii) 3 iii) - 15 - 17iv)--v) 51 vi) √5-1vii) V2 + 1/31 viii) cose + i sin​

Answer»

Answer:

1.3-1

2.-3

3.15+17

4.-51

5.√5+1

7.√2-1/31

8.cose-i SIN

47.

5. Which is correct method to solvefollowing expression? 1561 - 11|5 - 65 - 6Option 1O Option 25 - 66x56 - 55 x 6​

Answer»

ANSWER:

ooooofffffffffff

SAMAJH hi NHI aaya

XD

48.

The value of(A) 10(B) 1(C) 0(D) log abc​

Answer»

ANSWER:

b

Step-by-step EXPLANATION:

i can EXPLAIN but it take more time

But i can say the answer is B

49.

The side of the given figure of tangram is 8 unit long. If the top left vertex is placed on (3,4) such thatthe sides of the squares are parallel to X and y axis. Write the co-ordinates of each vertex and the points shown in the figure. ​

Answer»

GIVEN : side of the given figure of TANGRAM is 8 unit long .  the top left vertex is placed on (3,4)  such that  the sides of the squares are parallel to X and y AXIS.

To find :  coordinates of each vertex

Solution:

A is the  top left vertex ( 3 , 4)

AB = 8  

=> B = ( 11 , 4)

AD = 8

=> D = (3 , - 4)

C = ( 11 , - 4)

A ( 3 , 4)  ,  B = ( 11 , 4) , C = ( 11 , - 4) and  D = (3 , - 4)  

G is mid point of AC

=> G  =  ( 7 , 0)

E is mid point of   A & G

E = ( 5 , 2)

H is mid point of C & G

=> H = (9 , - 2)

F is mid point of A & D

=> F = ( 3 , 0)

I is 4 unit below E

=> I = ( 5 , -2 )

A ( 3 , 4)  ,  B = ( 11 , 4) , C = ( 11 , - 4) , D = (3 , - 4)   E = ( 5 , 2)  

F = ( 3 , 0)   G  =  ( 7 , 0)   H = (9 , - 2)   I = ( 5 , -2 )  

Learn More:

choose the suitable option for coordinates of a point on x-axis ...

brainly.in/question/19346461

Find the coordinates of the point where the line through (5, 1, 6) and ...

brainly.in/question/3060101

50.

Nazima is fly fishing in a stream. The tip of her fishing rod is 1.8m above thesurfaceof the water and the fly at the end of the string rests on the water 3.6 m away and2.4 m from a point directly under the tip of the rod. Assuming that her string (fromthe tip of her rod to the fly) is taut, how much string does she have out (SeeFig. 7.235)? If she pulls the string at the rate of 5 cm per second, what will thehorizontal distance of the fly from her after 12 seconds .​

Answer»

Answer:

2.79m

Step-by-step explanation:

Let AB be the height of the TIP of the FISHING rod from the water surface.

Let BC be the horizontal distance of the fly from the tip of the fishing rod.

Then, AC is the length of the string.

∴ AC

2

=AB

2

+BC

2

[ By Pythagoras theorem ]

∴ AC

2

=(1.8)

2

+(2.4)

2

∴ AC

2

=3.24+5.76

∴ AC

2

=9

∴ AC=3m

Thus, the length of the string out is 3m

She pulls the string at the rate of 5cm/s

∴ String pulled in 12 second = 12×5=60cm=0.6m

Let the fly be at POINT D after 12 seconds.

Length of string out after 12 second is AD.

⇒ AD = AC - String pulled by NAZIMA in 12 seconds.

⇒ AD=(3−0.6)m=2.4m

⇒ In △ADB,

AB

2

+BD

2

=AD

2

(1.8)

2

+BD

2

=(2.4)

2

BD

2

=5.76−3.24

BD

2

=2.52

∴ BD=1.587m

Horizontal distance of fly =BD+1.2m

Horizontal distance of fly =1.587m+1.2m

∴ Horizontal distance of fly =2.79m

I hope you understand my

so please please please please please please please please please please please please please please please please please please please please please please please please mark me as brainlest