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.

*I Sin 30 cos 45 + sin 45' CS 30'find the value​

Answer» ONG>ANSWER:

Answer is √3/2√2

Step-by-step EXPLANATION:

sin30cos45+sin45cos30

=1/2 X 1/√2 + 1/√2 x √3/2

= 1/2√2 + √3/2√2

= √3/2√2

2.

Does 5047/3500 have a terminating or non terminating decimal. If yes after how many places will it terminate?​

Answer»

ong>ANSWER:

Yes, It has a terminating decimal because A rational number will have terminating decimal expansion, if the factors of the denominator is in the form of 2^{n}*5^{m}. The decimal expansion of 5047/3500 will terminate after 3 places.

Step-by-step explanation:

5047/3500, this can be divided by 7 as there is 7 as a factor in both numbers.

721/500, now the denominator contains the factors, 4 and 125, which can be written in the form 2^{2}*5^{3}.

Now we should make the powers of 2^{2}*5^{3}equal.

To make that we NEED to multiply 2 to 2^{2}*5^{3} and to the NUMERATOR also.

Then it will become 2^{3}*5^{3} and the numerator will become 721*2= 1442

Now, 1442 /(2*5)^{3}  =1442/ 10^{3}, now the decimal expansion will terminate after 3 places, because the 10 is raised to the POWER of 3.

3.

ब) पुढील उपप्रश्न सोडवा.i) जर 4x +2y= 8 आणि 2x +4y= 10 असेल तर x + y ची किंमत काढा.​

Answer»

ong>Answer:

x+y = 3

Step-by-step explanation:

4x + 2y = 8

+ 2x + 4Y = 10

_____________

6x + 6Y = 18

6( x+y) = 18

x+ y = 18/6

x+y = 3

4.

15 men can finish the work in 40 days. the number of days in which the piece of work can be done by 20 men. Note: Do it step by step.. ​

Answer» ER of MEN. time(days)

15. 40

20. ?(X)

number of men and time is in direct proportion

15:20::40:x

therefore time=20×40/15=54 days

5.

*p² / 4 + p / 3 + 1/9 is an expansion of which binomial?* 1️⃣ (p/2 + 1/3)²2️⃣ (p/2 - 1/3)²3️⃣ (p/4 + 1/9)²4️⃣ none of the above​

Answer» ONG>Answer:

1

Step-by-step EXPLANATION:

(a+b) ^2 = a^2 + 2AB + b^2

6.

*Decide the orderly relationship between 5/4 & 11/12 .* 1️⃣ 5/4 > 11/122️⃣ 5/4 < 11/123️⃣ 5/4 = 11/12​

Answer» ONG>Question :- Decide the ORDERLY relationship between 5/4 & 11/12 .*

1) 5/4 > 11/12

2) 5/4 < 11/12

3) 5/4 = 11/12

Solution :-

→ 5/4 and 11/12

making both denominator same ,

  • 5/4 = multiply and divide by 3
  • 11/12 = multiply and divide by 1 .

we get,

→ (5/4) * (3/3) and (11/12) * (1/1)

→ (15 / 12) and (11/12)

since,

→ 15 > 12 .

THEREFORE,

→ (15/12) > (11/12)

or, we can conclude that,

→ 5/4 > 11/12 (Option 1) (Ans.)

Learn more :-

Decide the orderly relationship between 5/4 & 11/12 .

1️⃣ 5/4 > 11/12

2️⃣ 5/4 < 11/12

3️⃣ 5/4 = 11/12

brainly.in/question/37825417

7.

6) If side of a square is 10cm then diagonalof a square isO20O 10V 210205​

Answer»

me as brainlist. THIA answer is correct as i DONT KNOW the formulae for DIAGONAL but .... i have done this by alternative METHOD

8.

15) Hypolenuse of a right angled triangle is 1 less than twice its small side.Third side is 1 more than its small sidea) If the small side is what is the length of other two sides.b) Form an equation connecting the length of the sides.c) Calculate the length of the sides of the triangle.​

Answer» ONG>Step-by-step EXPLANATION:

soryyyyyyyyyyyyyyyyy

9.

Write the equations for the statement “ The sum of numbers x and 4 is 9”.​

Answer» ONG>ANSWER:

the CORRECT equation for the STATEMENT will be:

x+4=9

10.

A upon b = 3 upon 4 3a upon 4b =​

Answer» ONG>Answer:

If a : B = 3 : 4 then find (3a+4b)/(4a-b) - DOUBTNUT

11.

3) બે રેખાઓ x + 2 + 7 = 0 અને 2x + my + 18 = 0 એકબીજીનેછેદતી નથી, તો પણ m નું મૂલ્ય 4 મળે છે.'​

Answer» ONG>ANSWER:

jzjbvxvshdduwudydbfhcbxbxbx xvxnnsncnxbbxbxbxbdbfhfheudvgxvxcvxdbdhfvccnnxjxh

Step-by-step EXPLANATION:

cbfhfhddhbdhxhcncjcnfncncnhgjhgjfjsuxvnwcibrjvjoscnrjeudcgdbhdbfhfvjnfvbgnbfhdhhfjfjdjdffjjfj

12.

Multiply (4xy+ 3x'y)(5xy -3x)​

Answer»

ong>Answer:

ANSWER = >

7x²y(5Y — 3)

or

35x²y² — 21x²y

answer \:  =  >   \\ \huge \: 7x {}^{2} y(5y - 3) \\ or \\  \huge \: 35x {}^{2} y - 21x {}^{2} y

Step-by-step explanation:

for DETAILED explanation check the ATTACHMENT,,,

HOPE it's helpful,,,

@—

\huge \: op \: boy

13.

A test tube has a diameter of 20mm and a height of 15cm.the lower portion is a hemisphere .find the capacity of the test tube .​

Answer» ONG>Step-by-step EXPLANATION:

hfhddudut to ututuyutufyrutytytytytytytytutututu

14.

Find the range of the following data: 55,36,95,73,60,42,25,78​

Answer» ONG>ANSWER:

Range = 95 - 25. Range = 70

Step-by-step explanation:

pls follow and MAKE me brainleast

15.

*p² / 4 + p / 3 + 1/9 is an expansion of which binomial?*​

Answer» ONG>ANSWER:

( p/2 + 1/3 ) ^2

Step-by-step explanation:

simple expansion

16.

Area of sector of circle is 0/360° ×nr^2​true or false

Answer»

ong>ANSWER:

AREA of sector of CIRCLE is 0/360° ×nr^2

this is True because angle os sector of circle can 0°

Formula;

theeta/360° ×nr^2

17.

Find the compound interest on ₹3125 for 3 years if the rates of interest for the first year, second year and third year are respectively 4%,5% and 6% per annum​

Answer»

ong>Answer:

HOPE it useful MEANS MARK as brainlist please.

Step-by-step explanation:

It is given that 

PRINCIPAL (P) = 3125

Rate of interest for continuous = 4%,5% and 6%

Period (n) = 3 years 

We know that 

Amount =  P(1+r/100)n 

SUBSTITUTING the values 

=3125(1+4/100)(1+5/100)(1+6/100)

By further calculation 

=3125×26/25×21/20×53/50

= 3617.25

Here 

CI=A−P

Substituting the values 

=3617.25−3125

=492.25

18.

A:b=2:3 and c:b=5:6 then a:b:c=?

Answer» ONG>Step-by-step EXPLANATION:

a:B=2:3

C:b=5:6

a:b=2:3×6

c:b=5:6×3

a:b:c=12:18:18

19.

Describe the nature of roots of 9x2+7x - 2=0​

Answer» ONG>Answer:

The roots of this QUADRATIC equation are real and different because D > 0.

Step-by-step explanation:

20.

Let S = {1,2,3,...,12). How many functions f: S -> S are there such that f(f(x)) = x and f(x) – X is not divisibleby 3? ​

Answer» ONG>ANSWER:

gtdtdsyugfrsyduguvfxrzyfugugugugyfyfyfgcyfyfyfyfyfyfyfyfyfyfyfyguguguguguhyfrstxyg

21.

*एका पिशवीमध्ये 5 लालआणि 3 काळे चेंडू आहेत. तर काळा चेंडू काढण्याची संभाव्यता ……….. आहे* 1️⃣ 5/82️⃣ 1/23️⃣ 3/84️⃣ यापैकी नाही​

Answer» ER:

Step-by-step explanation:

3) 3/8

22.

Simplify: 2/(x-3) - 3/(x+1)

Answer» ONG>Step-by-step explanation:

2/x-3-3/x+1

=2(x+1)-3(x-3)/(x-3)(x+1)

=2x+2-3x+9/(x-3)(x+1)

=11-x/(x-3)(x+1)

23.

Core: 2) 2. The sides of a rectangle are in the ratio 2:3a) If the breadth is 2a, what is the length?b) If the perimeter of the rectangle is 40cm, find the length and breadth?​

Answer» ONG>ANSWER:

a) LET the sides of the rectangle be 2x and 3x

then,

A.T.Q-

breadth=2x=2a

x=a

then,3x=3a

b)given-

perimeter of the rectangle=40cm

now,

according to above solution ,sides of rectangle=

3a and 2a

then,

3a+2a=40

5a=40

a=8

sides-

length=3a=24cm

breadth=2a=16cm

24.

2.machines are oiled from thme to time​

Answer» ONG>ANSWER:

So as to prevent friction and rust from damaging them.

hope this HELPS you

please mark me as BRAINLIEST

25.

Bank difficult question. ​

Answer»

unit DIGIT in the sum is D)0

please MAKE me BRIANLIEST

26.

2tan 45º + cos45° - sin45º =0O2013​

Answer» ONG>ANSWER:

so you WANT STEP by step or only answer

27.

How 23%can be written as decimal point ?​

Answer»

>

23% = 0.23 in decimal FORM. Percent means 'PER 100'. So, 23% means 23 per 100 or simply 23/100. If you DIVIDE 23 by 100, you'll get 0.23 (a decimal number).

28.

Pls answer questions with full working all questiins​

Answer» ONG>ANSWER:

HOPE it HELPS you!!!!!!

29.

Prove factor or does not factorExample:1) p(1)=0. (x-1) is a factor​

Answer»
STREAM DYNAMITE
30.

If two coins are tossed , find the probability of the event "getting at most one head."​

Answer»

ong>Answer:

3/4

Step-by-step explanation:

SAMPLE SPACE= {HH , HT ,TT ,TH} n(S) = 4

getting atleast ONE HEAD = {HH,HT,TT} n(A) = 3

probability =n(A)/n(S) =3/4

31.

Q.4 ) Write the multiplication and division sentences,a) 10 groups of 7​

Answer» ONG>Step-by-step EXPLANATION:

hope it is HELPFUL to you OK

32.

115' angle is an example of :​

Answer»

ong>ANSWER:

It's an EXAMPLE for obtuse ANGLE

Step-by-step explanation:

Because 0-90 are called Acute angle

90 is called RIGHT angle

90-180 are called obtuse angle

33.

*The distance between two parallel tangents of a circle of radius 4 cm is ………* 1️⃣ 2 cm2️⃣ 4 cm3️⃣ 6 cm4️⃣ 8 cm​

Answer» ANSWER is 8 CM , PLEASE FOLLOWING me
34.

Tiham and Shakur play a game. First, Tiham chooses any positive integer a with 1 < a ≤ 58. Then Shakur chooses a positiveinteger b with b < a. Let f(a, b) be the smallest positive integer{bf(a,b)÷a}such that is an integer. Tiham's goal is to make f(a,b)as large as possible while Shakur's goal is to make f(a, b) assmall as possible. What value should Tiham choose for a? ​

Answer» ONG>ANSWER:

HAPPY HOLI....

TOO ALL MY FRIENDS...

35.

What is Photosynthesis ???•HLO GUYS....●●●​

Answer»

ong>Answer:

here is your answer

Step-by-step explanation:

the PROCESS by which green plants turn CARBON DIOXIDE and water into food USING energy from SUNLIGHT

36.

C) When we write LA= LB, we actually mean​

Answer» ER: They are CONGRUENT.

37.

• Contract costing useful in​

Answer»

ong>ANSWER:

Contract COSTING is a specialized SYSTEM jod costing applies to long -TEARM contract as distinct from SHORT -tearm jod.

38.

A circular garden of diameter 10units is surrounded by a pathway that is 2units wide. Assuming that the center of the garden is at the origin, give the equation that describe the bigger circle.

Answer»

ong>Answer:

24pi

Step-by-step explanation:

As you can SEE there are two CONCENTRIC circles (i.e. with same centre). Let the radius of outer circle be R and inner circle be r.

r = 10/2 = 5m

R = 5 (radius of inner circle) + 2 (width of the PATH) = 7m

Area of the path = Area of Outer circle - Area of Inner circle

= pi * (R)^2 - pi * (r)^2

= pi * (7)^2 - pi * (5)^2

= 49* (pi) - 25* (pi)

= 24pi

39.

a 16m deep well with diameter 3.5m is dug up and the earth out of it is spread evenly to form a plateform 27.5m by 7m . Find the height of the platform.​

Answer»

wer : 0.8 m✔✔

___________________________

Solution :

As we KNOW that :

Well is in the shape of CYLINDER

GIVEN that :

Height of well = 16 m.

And Diameter = 3.5m => Radius = 3.5/2 = 1.75 m

Now, Volume of Well (Cylinder) :

\pi {r}^{2} h \\  \\  =  >  \frac{22}{7}  \times  {(1.75)}^{2}  \times 16....(1)

Also Given that :

As the well SPREAD evenly to form a plateform

Let, the height of plateform be x m.

Volume of plateform :

27.5 \times 7 \times x = 192.5x

ATQ :

\frac{22}{7}  \times  {(1.75)}^{2}  \times 16 = 192.5x \\  \\  =  > x =  \frac{22 \times 1.75 \times 1.75  \times 16}{7 \times 192.5}  = 0.8

So, the height of plateform will be 0.8 m. ✔

_________________________________

Hope it helps ☺

Fóllòw Më ❤

40.

Simplify √7 + √3 / √7 - √3 + √4 + √5 / √4 -√5 plz give real ans.​

Answer»

ong>GIVEN,

  • \frac{ \sqrt{7} +  \sqrt{3}  }{ \sqrt{7}  -  \sqrt{3} }  +  \frac{ \sqrt{4} +  \sqrt{5}  }{ \sqrt{4}  -  \sqrt{5} }  \\

To FIND,

Solution,

\frac{ \sqrt{7} +  \sqrt{3}  }{ \sqrt{7}  -  \sqrt{3} }  +  \frac{ \sqrt{4} +  \sqrt{5}  }{ \sqrt{4}  -  \sqrt{5} }   \\  \\ \frac{ \sqrt{7} +  \sqrt{3}  }{ \sqrt{7}  -  \sqrt{3} }  +  \frac{ \sqrt{4} +  \sqrt{5}  }{ \sqrt{4}  -  \sqrt{5} } \\  \\ \frac{ \sqrt{7} +  \sqrt{3}  }{ \sqrt{7}  -  \sqrt{3} } \times  \frac{ \sqrt{7}  +  \sqrt{3} }{ \sqrt{7}  +  \sqrt{3} }   +  \frac{ \sqrt{4}  +  \sqrt{5}  }{ \sqrt{4}  -  \sqrt{5} }  \times  \frac{\sqrt{4}  +  \sqrt{5}  }{ \sqrt{4}  +  \sqrt{5} }  \\  \\  \frac{ {( \sqrt{7})  }^{2} + 2 \sqrt{7}   \times  \sqrt{3} +  {( \sqrt{3} )}^{2}  }{ {( \sqrt{7}) }^{2} -   {( \sqrt{3} )}^{2}  }  +  \frac{ {( \sqrt{4})  }^{2} + 2 \sqrt{4}   \times  \sqrt{5} +  {( \sqrt{3} )}^{2}  }{ {( \sqrt{4}) }^{2} -   {( \sqrt{5} )}^{2}  } \\  \\  \frac{7 + 3 + 2 \sqrt{21} }{7 - 3}  +  \frac{4 + 3 + 4 \sqrt{5} }{4 - 5}  \\  \\   \frac{10 + 2 \sqrt{21} }{4}  +  \frac{7 + 4 \sqrt{5} }{ - 1}  \\  \\ \frac{10 + 2 \sqrt{21} }{4}   -   \frac{7 + 4 \sqrt{5} }{  1} \\  \\  \frac{10+2 \sqrt{21}  - 28  - 16 \sqrt{5}  }{4}  \\  \\  \frac{ - 18 + 2 \sqrt{21} - 16 \sqrt{5}  } {4}

41.

What is coefficient in pq p²q²÷​

Answer» ONG>Answer:

1 is the coefficient

Step-by-step EXPLANATION:

42.

What is the simplest form of 63 : 36(1 Point)7: 44 : 79 : 44 : 9​

Answer» ONG>ANSWER:

7:4

Step-by-step explanation:

Mark this answer as Brainlist

43.

How many solutions do the pair of equations, x=2 and x=-5 have?​

Answer» ONG>Answer:

Mitochondria are membrane-bound cell organelles (mitochondrion, singular) that generate most of the chemical ENERGY NEEDED to power the cell's biochemical reactions. Chemical energy produced by the mitochondria is stored in a small molecule called adenosine triphosphate (ATP).

44.

CommonHow manycirclestangents can be drawnwhich touch internally ?​

Answer»

Touching externally- 3

Intersecting at two POINTS - 2

Touching INTERNALLY -1

One LYING inside other- 0

45.

The solution of 5x = 25 is _________​

Answer» ONG>Answer:

5

Step-by-step EXPLANATION:

solution-

5x = 25

5×x = 25

x = 25÷5

x = 5

prove -

5x = 25

x = 5

5×5 = 25

25 = 25

LHS = RHS

hope it HELPS.

46.

i am a rectangle my length is x and breadth is y units sum of my length and breadth is 36 the difference between my length and breadth is 6 units​

Answer»

ong>Step-by-step explanation:

PLEASE MARK as brainliest

47.

Complete the sequence 10, 20,30, dash​

Answer» ONG>Answer:

40,50,60,70,....

Step-by-step EXPLANATION:

48.

S 4. Quadrilateral PQRS is a rectangle. Two sectors with centres R and S aredrawn as shown in the figure. Find the area of shaded region. Given thatPQ = 21 cm and QR = 14 cm.Р​

Answer»

ong>ANSWER:

answe

Step-by-step explanation:

MARK me as brainlist

49.

Find the Area of rectangle and square​

Answer»

ong>Answer:

area of RECTANGLE = length × breadth

are of square = SIDE ×side

hope it is useful

50.

What trigonometric rations for acute angles in both the given figures . [ PLEASE GIVE ME ANS FOR 9TH CLASS MATHS ]​

Answer» ONG>ANSWER:

Of what do you WANT SIN,cos or TAN