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.

Decimal to binary number system (97) 10​

Answer»

1100001 is the CORRECT answer.

hope it's HELPFUL, if so MARK as BRAINLIEST.

2.

Full form of COD.⚔️⚔️ᏒᏗᎷ ᏰᏂᏦᏖ⚔️⚔️​

Answer»

ANSWER:CONDITION on DISCHARGE or CASH on delivery

Step-by-step EXPLANATION:

3.

If cos theta= cos alpha cos beta/1-sin alpha sin beta prove that sin theta=±sin alpha+sin beta/1+sin alpha×sin beta

Answer»

There's an error in the question as per my solution. You can check it.

It should be : PROVE that sin theta = +/- sin alpha - sin BETA / 1 - sin alpha * sin beta.

COS t = cos a cos B / 1 - sin a sin b

sin²t = 1 - cos²t

= 1 - (cos a cos b)² / (1 - sin a sin b)²

= 1 - 2 sin a sin b + sin²a sin²b - cos²a cos²b / (1 - sin a sin b)²

put 1 = sin²a + cos²a

= sin²a + cos²a - 2 sin a sin b + sin²a sin²b - cos²a cos²b / (1 - sin a sin b)²

= sin²a + cos²a( 1 - cos²b ) - 2 sin a sin b + sin²a sin²b / ( 1 - sin a sin b)²

= sin²a + cos²a sin²b - 2 sin a sin b + sin²a sin²b / (1 - sin a sin b)²

= sin²a + sin²b - 2 sin a sin b / (1 - sin a sin b)²

= ( sin a - sin b )² / ( 1 - sin a sin b )²

Hence sin t = +/- sin a - sin b / 1 - sin a sin b

4.

Please tell answer anyone​

Answer»

ANSWER:

where is the SKETCH?????

5.

Find the value of x (3/4)4=81/x.​

Answer»

Answer:

27^1/2

Step-by-step EXPLANATION:

X(3/4)4=81/x

3x=81/x

3x^2=81

X^2=27

x =  \sqrt{27}

6.

Is this a rational number or an irrational number??Plz help !!

Answer»

ANSWER:

RATIONAL NUMBER

Step-by-step explanation:

Since - 3 is a rational number

7.

X sq. +5x-1800 factors?????????????​

Answer»

ANSWER:

HOPE it will HELP you...........

8.

Convert 1.23 -fraction .0. 11 + 3.45 intothe rational fraction ​

Answer»

ANSWER:

123/100

88/25

Step-by-step explanation:

1.23=1.23*100/100=123/100

0.11+3.45=3.56=3.56*100/100=356/100=178/50=89/25

Hope this HELPS you

Mark as BRAINLIEST answer PLEASE

9.

Full form of COD⚔️⚔️ᏒᏗᎷ ᏰᏂᏦᏖ⚔️⚔️​

Answer»

FULL FORM of COD is CASH On DELIVERY

10.

Find six rational numbers between 3 and 4​

Answer»

Hello MATE

I had kept an ATTACHMENT follow it

hope it's USEFUL

11.

11) Find the sum of a) 25+(-21) + (-20)+ (17)+(-1 )b) Substract -6 from " -13​

Answer»

Answer:

a is o

B is -19

Step-by-step explanation:

by seeing the figure U can understand the question clearly

plz MARK me as BRAINLIEST

12.

4) निम्नलिखित का मान ज्ञात(क) 5.3 + 2.165. निम्नलिखित का मान​

Answer»

ANSWER:

the GOVERNMENT is not a problemwithtoof

13.

Evaluate ( by using identies 106×98​

Answer»

ANSWER:

(106×98)

=(106×90)+(106×8)

=9540+848

=10388

✔️✔️✔️10388✔️✔️✔️

14.

If two positive integers a and b are written as a = x3y2 and b = xy3 , where x, y are prime numbers, then HCF ( a, b)

Answer»

It is given that If TWO positive integers a and b are written as a = x³y² and b = xy³ , where x, y are prime NUMBERS.

             we have to find the value of HCF(a, b),

here a = x³y² = x²(xy²)

and b = xy³ = (xy²)y

     we know HCF means highest common factor. so, find hcf of a and b and get the hcf of a and b.

    here we see highest common factor is xy².

so, HCF(a, b) = xy²

also read SIMILAR questions : if two positive integers a and b are written as a=x3y2 and b=xy3;x,y are prime numbers,then VERIFY lcm (a,b) x hcf (a,b)...

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if a, b and c be the distances travelled by the body during xth yth and zth SECOND from start, then which of th...

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15.

Write two solution of linear equation 4x+2y=18​

Answer»

Answer:

X=(9-y)/2 and

y=(9-2x)

Step-by-step explanation:

I THINK this MAY help you

16.

7,14,4 Find it’s LCM

Answer»

Answer:

28

Step-by-step EXPLANATION:

17.

What are permeable, impermeable, semi and selective permeable? Give example.​

Answer»

Step-by-step explanation:

permable:of a MATERIAL or membrane allowing liquids or GASES to pass through it.

impermable:not allowing fluid to pass through it.

semipermeable:of a material or membrane allowing liquids or gases to pass through it.and ESPECIALLY allowing the passage of a solvent but not a certain solutes.

selective permable:property of cellular membrane that only allows certain molecules to enter or EXIT the cells.movement areas is a selective membrane.

hope it helps U...

make me a brainlists....

18.

Good morning guys . please answer the question

Answer» C. MATERNAL AUNT.



THANKS
19.

Maths question......algebra

Answer»

Answer:

2Y +3 = 4Y +5

2y-4y=5-3

-2y= 2

y= 2/-2

y= -1

3y+2= 6y+7

3y-6y = 7-2

-3y = 5

y = 5/-3

20.

If the circumference of a circle is 264cm find its radius (take π=22/7​

Answer»

GIVEN:

Circumference of a CIRCLE = 264cm

TO FIND:

Radius of the circle

SOLUTION:

We know that,

The circumference of a circle = 2πr

Where,

The value of π = 22/7

r = radius of the circle

According to the QUESTION,

=> 2πr = 264

=> 2 × 22/7 × r = 264

=> 22/7 × r = 264/2

=> 22/7 × r = 132

=> r = 132 × 7/22

=> r = 42

THEREFORE, the radius of the circle is 42cm

21.

Two independent random samples of sizes 15 and 12 are taken from a normal population.Find the probability that the ratio of their variances is greater than 3

Answer»

Answer:

0.27

Step-by-step EXPLANATION:

MARK as BRAINLIEST.......

22.

Solve. 6x/5 - 4 = 2​

Answer»

Answer:

5

Step-by-step explanation:

6x/5-4=2

6x/5=2+4

6x/5=6

6x=30

X=5

23.

Forty is to sixty as 2x is to​

Answer»

ANSWER:

Very simple

40 =2x

X=20

so 60 =3X

24.

Find the distance between the point A (9,-7) and the origin

Answer»

PLEASE MARK as BRAINLIEST...

and FOLLOW me....

25.

498758 ÷12 full solution​

Answer»

Answer:

498758÷12=41563.1667

26.

The solution of the equation x+y=14 and x-y=4 is​

Answer»

Given : -

the solution of the EQUATION X+y=14 and x-y=4

To FIND : -

Find the value of x and y

Solution : -

Solve this question by elimination method

  • x + y = 14 ---(i)
  • x - y = 4 ---(II)

Adding both the equation

=> (x + y) + (x - y) = 14 + 4

=> x + y + x - y = 18

=> 2x = 18

=> x = 18/2 = 9

By substitution method

substitute the value of x in equation (ii)

=> x - y = 4

=> 9 - y = 4

=> 9 - 4 = y

=> y = 5

\large{\boxed{\bf{Required\:value\:of\:x=9}}}

\large{\boxed{\bf{Required\:value\:of\:y=5}}}

Verification : -

Putting the value of x and y in both the equation

  • x + y = 14

LHS

=> x + y

=> 9 + 5 = 14 = RHS verified

  • x - y = 4

LHS

=> x - y

=> 9 - 5 = 4 = RHS verified

Hence , both the equation verified

27.

Fill in the table with whole numbers to make 10.74 in two different ways.I don't know the question so please help me ASAP!

Answer»

Given:  

Fill in the table with whole numbers to make 10.74

To find:  

Two different ways

Solution:

Tens    ones     .     TENTHS       Hundredths

0            10               7                   4

0            10               6                  x

0 × 10 + 10 × 1 + 7/10   +  4/100

= 0   +   10  + 0.7  + 0.04

= 10.74

0 × 10  + 10 ×  1  + 6/10  + x/100  = 10.74

⇒ 0 + 10 + 0.6  + x/100 = 10.74

⇒ 10.6  + x/100 = 10.74

⇒ x/100 = 10.74 - 10.6

⇒ x/100 = 0.14

⇒ x = 100 (0.14)

⇒ x  = 14

Tens    ones     .     Tenths       Hundredths

0            10               6                  14

1              0                7                  4

1              0                6                 14

28.

X= 12 - 1x/3please answer quickly

Answer»

Answer:

9

Step-by-step EXPLANATION:

X= 12-x/3

X= 36/3-x/3

X=(36-x)/3

3x=36-x

4x=36

X=36/4

X=9

9

29.

From the adjustment figure write the corresponding angles and interior alternate angles​

Answer»

Step-by-step EXPLANATION:

CORRESPONDING ANGLES - b-f, a-e, g-c, d-h

INTERIOR ALTERNATE angles - e-c, f-d

30.

Divide the following ​

Answer»

ANSWER:

if cancel its x POWER VALUES means finally 11-11=0 so 1ST qstn ANS is 0

31.

Please help me in mathematics homework

Answer»

Answer:

HOPE this helps u

Step-by-step EXPLANATION:

MARK me as brainliest

32.

Pls answer it.. pls it is urgent..​

Answer»

1.(b) on the negative side of y-axis.

2.(d) Any number

3.(a) 0

4.(a) 0

5.(d) any number

6. the answer is III quadrant but here there is no option for that.

7.(a) I quadrant

8.(c) x-axis

9.(d) y-axis

10.(d) do not lie on the same quadrant

11.(c) IV quadrant

12.(c) II and IV, respectively

13.(b) (0,4)

14.(b) I and IV quadrant

15.(a) 3

hope it's helpful, if so mark my answer as brainliest answer.

33.

-24 ÷ (12 ÷ (-3) Is equal to​

Answer»

ANSWER:

-24 ÷ (12 ÷ (-3)

by BODMAS rule

-24÷-4

6

34.

State true or falseNegative of an irrational number is irrational The product of a non-sero rationalnumber and irrational number is arational number​

Answer»

Step-by-step explanation:

Yes it is irrational but lets PROVE it with contradiction. The negative of any irrational number is irrational. FIRST, translate given statement from informal to formal language: ∀ real numbers x, if x is irrational, then −x is irrational.

NON zero rational numbers are 1,2,3,4,5...... ... THEREFORE,the product of a non zero rational number with an irrational number is always irrational.

35.

Who am I :the digit in the lakh place is twice the digiy in the thousand place and multiple of 4

Answer»

ANSWER:

4000000 is the answer for this above QUESTION

36.

ALL METALS EXISTS I SAME PHYSICAL STATE EXCEPT _______.1. GOLD2. MERCURY3. ALUMINIUM4. COPPER

Answer»

ANSWER:

MERCURY is your answer

37.

A B C+ A B +A = 876 Find the value of A,B and C​

Answer»

Answer:

  • 6thandandandandandandandandand
38.

Class IX maths number systems

Answer»

ANSWER:

shdjfnsnsjdjsjsjsjjsbdsbbsjsbdbsbs

39.

Write the minimum no.of reqired to draw a line​

Answer»

ANSWER:

MINIMUM two POINTS are required to form line . single point can form RAY but not line

40.

there is a footpath around a rectangular garden with kength 30m and breadth 20m. The area of the large rectangular plot including the footpath and garden is 816m². Find the width of the footpath?​

Answer»

Step-by-step explanation:

A rectangular garden 40 m ×30 m is surrounded from outside by a PATH of equal width. if the area of the path is 456 m² , find the width of the path?

ANSWER :

FOR RECTANGLE

LENGTH = 40M

BREADTH = 30M

SO AREA OF GARDEN=L×B

=40×30

=1200M²

SO LET THE SUM OF WIDTH BE X FOR THE PATH FROM BOTH SIDES

SO 2(WIDTH)=X

SO OVERALL LENGTH = (40+X)M

AND OVERALL BREADTH = (30+X)M

SO OVERALL AREA = L×B

=(40+X)(30+X)

=1200+40X+30X+X²

= (X²+70X+1200)M

NOW IT IS GIVEN THAT

AREA OF PATH=456M²

SO AREA OF PATH = OVERALL AREA-AREA OF GARDEN

456=X²+70X+1200-1200

X²+70X-456=0

So by splitting the middle term method

X²+76X-6X-456=0

X(X+76)-6(X+76)=0

(X+76)(X-6)=0

SO

X+76=0 OR X-6=0

X=-76 OR X=6

BUT BREADTH CAN NEVER BE NEGATIVE

SO X=-76 IS REJECTED

SO X=6 IS ACCEPTED

SO 2(WIDTH)=X

WIDTH=X/2

WIDTH=6/2

WIDTH=3M

HENCE THE WIDTH OF THE PATH IS 3 METRES

41.

X + 1 by X whole square + X - 1 by X whole square​

Answer»

Answer:

HI..MATE here is your answer...

( \frac{x + 1}{x} ) ^{2}  + ( \frac{x - 1}{x} ) ^{2}  \\  \frac{(x + 1) {}^{2} }{ {x}^{2} }  +  \frac{(x - 1) {}^{2} }{ {x}^{2} }  \\  \frac{ {x }^{2} + 1 + 2x }{ {x}^{2} }  +  \frac{ {x}^{2}  + 1 - 2x}{ {x}^{2} }  \\  \frac{ {x}^{2}  + 1 + 2x +  {x}^{2} + 1 - 2x }{ {x}^{2} }  \\  \frac{2 {x}^{2}  + 2}{ {x}^{2} }  \\  \frac{2 {x}^{2} }{ {x}^{2} }  +  \frac{2}{ {x}^{2} }  \\

HOPE its help ful to you...

42.

605/6 what is the answer?​

Answer»

ANSWER:

The Answer of the QUESTION is 100.83.

43.

At. Find the roots of the following quadrataequation (if tay east) by theMethod of ouadratic Formula. x^2+8x + 4 = 0​

Answer»

ANSWER:

x=-12

Step-by-step EXPLANATION:

x^2+8x=-4

x^2=-4-8x

x=-12

44.

Please help in my maths homework

Answer»

4. \\ i.)23 \\  = ( - 23) \times ( - 1) \\ ii.) - 47 \\  = 47 \times ( - 1) \\ iii.)0 \\  = 0 \times  ( - 1)

3. \\ i. ) \\  23 \times (7 + ( - 2)) = 23 \times 7 + 23 \times ( - 2) \\ 23 \times (7 - 2) = 23 \times 7 + 23 \times ( - 2) \\ 23 \times 5 = 161 + ( - 46)\\ 115 = 161 - 46 \\ 115 = 115 \\

ii.) \\ r.h.s.( - 18) \times (( - 3) + ( - 5)) \\  = ( - 18) \times ( - 8) \\  = 144 \\  \\ l.h.s. \\ (( - 18) \times ( - 3)) + (( - 18) \times ( - 5)) \\  = 54 + 90 \\  = 144 \\   \\ 144 = 144

4. \\ i.) \\ ( - 5) \times 19 \times ( - 60) \\  = 570 \\ ii.) \\ 25 \times 31 \times ( - 4) \\ ( - 3100) \\ iii.) \\ 97 \times 25 \times ( - 2) \times ( - 4) \\  = 19400 \\ iv.) \\ ( - 2) \times 4896 \times ( - 5) \\  = 48960

6. \\ i.) \\ b \times (a - c) = b \times a + b \times c \\  ( - 2) \times (3 - ( - 1) =  - 2 \times (3 + ( - 1)) \\ ( - 2) \times 4 = ( - 2) \times 2 \\  - 8 =  - 4 \\ not \: verified \:  \:  \\ ii.) \\ b \times c \times a = a \times b \times c = c \times a \times b \\  - 2 \times  - 1\times 3 = 3 \times  - 2 \times  - 1 =  \\  - 1 \times  - 2  \times 3 \\ 6 = 6 = 6 \\ iii.) \\ b \times c = c \times b \\  - 2 \times 3 = 3 \times  - 2 \\  - 6 =  - 6

7. \\ i.) \\  = 2 \times 5 - (2 + 7) \\  = 10 - 9   = 1 \\ ii.) \\  =  - 4 \times  - 6 - ( - 4 +  - 6) \\  = 24 - ( - 10) \\  = 24 + 10 \\  = 34 \\ iii.) \\ 13 \times  - 6 - (13 -  - 6) \\  =  - 78 - 19 \\  =  - 97 \\ iv.) \\  - 7 \times 5 - ( - 7 + 5) \\  =  - 35 - ( - 2) \\  =  - 35 + 2 \\  =  - 33

hope it is HELPFUL to you

please MARK me BRAINLIST

45.

A concrete tank has an external diameter of 5 mand an internal height of 3 m. The walls and baseof the tank are 20 cm thick.a Find the volume of concrete required to makethe base.b Find the volume of concrete required to makethe walls.Find the total volume of concrete required.d Find the cost of the concrete at $142 per m3​

Answer»

Given:

A concrete tank has an external diameter of 5 m  and an internal height of 3 m.

The walls and base  of the tank are 20 cm thick.

To find:

(a). Find the volume of concrete REQUIRED to MAKE  the base.

(b). Find the volume of concrete required to make  the walls.

(c). Find the total volume of concrete required.

(d). Find the cost of the concrete at $ 142 per m³​

Solution:

(a). Finding the volume of concrete required to make  the base:

The thickness of the base = 20 cm = 0.20 m

The external diameter of the base = 5 m

∴ The external radius of the base = \frac{diameter}{<klux>2</klux>} = \frac{5}{2}  = 2.5\: m

Now,

The volume of the required concrete to make the base is,

= Volume of the cylindrical base

= \pi r^2h

= \frac{22}{7} \times (2.5)^2\times 0.20

= \frac{22}{7} \times 6.25\times 0.20

= \bold{3.92 \:m^3}

\boxed{\bold{Volume \:of\:concrete\:required\:to\:make\:the\:base\:is\:\underline{3.92\:m^3}}}.

(b). Finding the volume of concrete required to make  the walls:

The external radius, r₂ = 2.5 m

The thickness of the walls = 0.20 m

∴ The internal radius, r₁ = 2.5 - 0.20 = 2.3 m

The internal height = 3 m

Now,

The volume of concrete required to make  the walls of the concrete tank is,

= Volume of the cylindrical walls

= \pi (r_2^2 - r_1^2)h

= \frac{22}{7} \times (2.5^2 - 2.3^2)\times 3

= \frac{22}{7} \times (6.25 - 5.29)\times 3

= \frac{22}{7} \times 0.96\times 3

= \bold{9.05 \:m^3}

\boxed{\bold{Volume \:of\:concrete\:required\:to\:make\:the\:walls\:is\:\underline{9.05\:m^3}}}.

(c). Finding the total volume of the concrete required:

Now,

The total volume of the concrete required is,

= [Volume of concrete required to make the base] + [Volume of concrete required to make the walls]

= 3.92 m³ + 9.05 m³

= 12.97 m³

\boxed{\bold{The \:total\:volume \:of\:concrete\:required\:to\:make\:the\:tank\:is\:\underline{12.97\:m^3}}}.

(d). Finding the cost of the concrete:

If the cost of the 1 m ³ of concrete = $142

Then, the cost of 12.97 m³ of concrete = $ 142 × 12.97 m³ = $ 1841.74

\boxed{\bold{The \:cost\: of\: the\: concrete\: at\: \$ \:142 \:per\: m^3\:is\:\underline{\$\:1841.74}}}.

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

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46.

Rationalize the denominator of the following.​

Answer»

ANSWER :

7+ 4√3.

Concepts REQUIRED :

  • Rationalize the denominator, means MULTIPLY nominator and denominator by opposite sign.

Solution :

\tt=  \frac{2 +  \sqrt{3} }{2 -  \sqrt{3} }

\tt=  \frac{2 +  \sqrt{3} }{2 -  \sqrt{3} }  \times   \frac{2 +  \sqrt{3} }{2  +  \sqrt{3} }

\tt=  \frac{({2 +  \sqrt{3} )}^{2}  }{{(2 )}^{2}  -  {(\sqrt{3} )}^{2} }

\tt=  \frac{4 + 3 + 4 \sqrt{3} } {4 - 3}

\tt=  \frac{7 + 4 \sqrt{3} } {1}

\tt=  {7 + 4 \sqrt{3} }.

\rule{200}3

Formula USE :

  • (a + b)² = a² + b² + 2AB.
  • (a + b )(a - b) = a² - b².
47.

Solve the above question​

Answer»

1.2 + 0.07= 1.27 is the answer

Hope this HELPS

48.

Multiply and convert in mixed fraction 11×4/7​

Answer»

so 11×4/7

44/7

so DIVIDE 44/7

so ANSWER is 7-2/6

49.

Plz solve it................ ​

Answer»

ANSWER:

श्रीगुरु चरन सरोज रज

निजमनु मुकुरु सुधारि

बरनउँ रघुबर बिमल जसु

जो दायकु फल चारि

बुद्धिहीन तनु जानिके, सुमिरौं पवन-कुमार

बल बुधि बिद्या देहु मोहिं, हरहु कलेस बिकार

जय हनुमान ज्ञान गुन सागर

जय कपीस तिहुँ लोक उजागर

राम दूत अतुलित बल धामा

अंजनि-पुत्र पवनसुत नामा

महाबीर बिक्रम बजरंगी

कुमति निवार सुमति के संगी

कंचन बरन बिराज सुबेसा

कानन कुण्डल कुँचित केसा

हाथ बज्र औ ध्वजा बिराजे

काँधे मूँज जनेउ साजे

शंकर सुवन केसरी नंदन

तेज प्रताप महा जग वंदन

बिद्यावान गुनी अति चातुर

राम काज करिबे को आतुर

प्रभु चरित्र सुनिबे को रसिया

राम लखन सीता मन बसिया

सूक्ष्म रूप धरि सियहिं दिखावा

बिकट रूप धरि लंक जरावा

भीम रूप धरि असुर सँहारे

रामचन्द्र के काज सँवारे

लाय सजीवन लखन जियाये

श्री रघुबीर हरषि उर लाये

रघुपति कीन्ही बहुत बड़ाई

तुम मम प्रिय भरतहि सम भाई

सहस बदन तुम्हरो जस गावैं

अस कहि श्रीपति कण्ठ लगावैं

सनकादिक ब्रह्मादि मुनीसा

नारद सारद सहित अहीसा

जम कुबेर दिगपाल जहाँ ते

कबि कोबिद कहि सके कहाँ ते

तुम उपकार सुग्रीवहिं कीन्हा

राम मिलाय राज पद दीन्हा

तुम्हरो मंत्र बिभीषन माना

लंकेश्वर भए सब जग जाना

जुग सहस्र जोजन पर भानु

लील्यो ताहि मधुर फल जानू

प्रभु मुद्रिका मेलि मुख माहीं

जलधि लाँघि गये अचरज नाहीं

दुर्गम काज जगत के जेते

सुगम अनुग्रह तुम्हरे तेते

राम दुआरे तुम रखवारे

होत न आज्ञा बिनु पैसारे

सब सुख लहै तुम्हारी सरना

तुम रच्छक काहू को डर ना

आपन तेज सम्हारो आपै

तीनों लोक हाँक तें काँपै

भूत पिसाच निकट नहिं आवै

महाबीर जब नाम सुनावै

नासै रोग हरे सब पीरा

जपत निरन्तर हनुमत बीरा

संकट तें हनुमान छुड़ावै

मन क्रम बचन ध्यान जो लावै

सब पर राम तपस्वी राजा

तिन के काज सकल तुम साजा

और मनोरथ जो कोई लावै

सोई अमित जीवन फ

50.

What is the scientific notation of the numbers 580,000 ​

Answer»

ANSWER:

SCIENTIFIC NOTATION of the NUMBER 580,000 is 5.8 × 10^5

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