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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

21651.

(i) এক ব্যক্তি বার্ষিক 6% হার সরল সুদে একটি ব্যাংক থেকে 60,000 টাকা ধার করলেন। 3 বছর পর30,000 টাকা তিনি ব্যাংকে শােধ করলেন। আরও 2 বছর পর তিনি ব্যাংকের পুরাে ঋণ শােধ করতেচাইলে তখন তাকে মােট কত টাকা মেটাতে হবে?​

Answer»

Answer: One person borrowed Rs 60,000 from a bank at SIMPLE interest rate of 6% per annum. After 3 years

He deposited Rs 30,000 in the bank. After 2 more years he has to repay the loan in FULL to the bank

If he wants, how much money will he have to PAY?

Step-by-step explanation:

21652.

Evaluate using identity:22.12 – 17.9​

Answer»

ANSWER:

We know (a−B)  

2

=a  

2

+b  

2

−2ab

By USING this identity, we have  

998  

2

=(1000−2)  

2

 

=1000  

2

+2  

2

−2×1000×2

=1000000+4−4000

=996004

21653.

Write the median of the data 15 40 40 25 16 28 32 36 42 16 19 28​

Answer»

firstly arrange this data in ascending ORDER

15, 16, 16, 19, 25, 28, 28, 32, 36, 40, 40, 42.

total no ELEMENT are 12 (even no )

(n/2)th= 12/2 = 6th position

(n/2+1)th = 6 + 1 = 7th position

median = ((n/2)th + (n/2+1)th) / 2

= (6th position + 7th position) / 2

= 28 + 28 / 2

= 56 / 2

The median of data = 28

HOPE THIS HELPS

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21654.

7. The denominator of a rational number is greater than its numerator by 8. If thenumerator is increased by 17 and the denominator is decreased by 1, the number3obtained is2Find the rational number.​

Answer»

Let the numerator of the rational NUMBER be X.

So as PER the GIVEN CONDITION, the denominator will be x + 8.

The \:  rational \:  number  \: will \:   \\ be  \frac{x}{x + 8}

According to the given condition,

\frac{(x + 17) }{x + 8 - 1}  =  \frac{3}{2}

\frac{x + 17}{x + 7}  =  \frac{3}{2}

3(x + 7) = 2(x + 17)

3x + 21 = 2x + 34

3x – 2x + 21 – 34 = 0

x – 13 = 0

x = 13

The rational number will be

\frac{x}{x + 8}

\frac{13}{13 + 8}

Rational number = 13/21

21655.

The number of tangents drawn at the end points of the diameter is​

Answer»

Step-by-step EXPLANATION:

only one TANGENT can be drawn

Please mark me Brainliest and FOLLOW

21656.

If X=(√3+√2÷√3-√2) and Y=(√3-√2÷√3+√2) Then find a) X^2+Y^2 b) X^2Y+Y^2X​

Answer»

Given :-

\rm :\longmapsto\:x = \dfrac{ \sqrt{3} +  \sqrt{<klux>2</klux>}  }{ \sqrt{3}  -  \sqrt{2} }

and

\rm :\longmapsto\:y = \dfrac{ \sqrt{3}  -   \sqrt{2}  }{ \sqrt{3}   +   \sqrt{2} }

To FIND :-

\rm :\longmapsto\:(i) \:  {x}^{2} +  {y}^{2}

\rm :\longmapsto\:(<klux>II</klux>) \:  {x}^{2}y +  {y}^{2}x

Identities Used :-

\boxed{ \sf \:  {(x + y)}^{2} =  {x}^{2} + 2xy +  {y}^{2}}

\boxed{ \sf \:  {x}^{2} -  {y}^{2} = (x + y)(x - y)}

\boxed{ \sf \:  {(x + y)}^{2} +  {(x - y)}^{2} = 2( {x}^{2} +  {y}^{2})}

Solution :-

Given that,

\red{\bf :\longmapsto\:x = \dfrac{ \sqrt{3} +  \sqrt{2}  }{ \sqrt{3}  -  \sqrt{2} }}

On multiply and DIVIDE by conjugate of denominator,

\:  \: \rm  =  \:  \: \dfrac{ \sqrt{3} +  \sqrt{2}  }{ \sqrt{3}  -  \sqrt{2} }  \times \dfrac{ \sqrt{3} +  \sqrt{2}  }{ \sqrt{3}  +  \sqrt{2} }

\:  \: \rm  =  \:  \: \dfrac{ {( \sqrt{3}  +  \sqrt{2}) }^{2} }{ {( \sqrt{3} )}^{2} -  {( \sqrt{2})}^{2}  }

\:  \: \rm  =  \:  \: \dfrac{3 + 2 + 2 \sqrt{6} }{3 - 2}

\:  \: \rm  =  \:  \: 5 + 2 \sqrt{6}

\:  \:  \:  \:  \:  \:  \:  \: \red{\bf :\implies\:x = \dfrac{ \sqrt{3} +  \sqrt{2}  }{ \sqrt{3}  -  \sqrt{2}} = 5 + 2 \sqrt{6} }

ALSO, Given that,

\green{\bf :\longmapsto\:x = \dfrac{ \sqrt{3}  -   \sqrt{2}  }{ \sqrt{3}   +   \sqrt{2} }}

On multiply and divide by conjugate of denominator,

\:  \: \rm  =  \:  \: \dfrac{ \sqrt{3}  -   \sqrt{2}  }{ \sqrt{3}   +   \sqrt{2} }  \times \dfrac{ \sqrt{3}  -   \sqrt{2}  }{ \sqrt{3}   -   \sqrt{2} }

\:  \: \rm  =  \:  \: \dfrac{ {( \sqrt{3}   -   \sqrt{2}) }^{2} }{ {( \sqrt{3} )}^{2} -  {( \sqrt{2})}^{2}  }

\:  \: \rm  =  \:  \: \dfrac{3 + 2  -  2 \sqrt{6} }{3 - 2}

\:  \: \rm  =  \:  \: 5  -  2 \sqrt{6}

\:  \:  \:  \:  \:  \:  \:  \: \green{\bf :\implies\:x = \dfrac{ \sqrt{3}  -   \sqrt{2}  }{ \sqrt{3}   +  \sqrt{2}} = 5  -  2 \sqrt{6} }

Now,

Consider (i)

\blue{\bf :\longmapsto\: {x}^{2} +  {y}^{2}}

\:  \: \rm  =  \:  \:  {(5 + 2 \sqrt{6} )}^{2} +  {(5 - 2 \sqrt{6})}^{2}

\:  \: \rm  =  \:  \: 2\bigg( {5}^{2} +  {(2 \sqrt{6} )}^{2}\bigg)

\:  \: \rm  =  \:  \: 2(25 + 24)

\:  \: \rm  =  \:  \: 2 \times 49

\:  \: \rm  =  \:  \: 98

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \blue{\bf :\implies\: {x}^{2} +  {y}^{2} = 98}

Consider (ii)

\pink{\bf :\longmapsto\: {x}^{2}y +  {xy}^{2}}

\:  \: \rm  =  \:  \: xy(x + y)

\:  \: \rm  =  \:  \: (5 + 2 \sqrt{6})(5 - 2 \sqrt{6})(5 +  \cancel{2 \sqrt{6}}+ 5 -  \cancel{2 \sqrt{6}})

\:  \: \rm  =  \:  \: (25 - 24)(10)

\:  \: \rm  =  \:  \: 10

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \pink{\bf :\implies\: {x}^{2}y +  {xy}^{2} = 10}

Additional Information :-

More Identities to know :-

  • (a + b)² = a² + 2ab + b²

  • (a - b)² = a² - 2ab + b²

  • a² - b² = (a + b)(a - b)

  • (a + b)² = (a - b)² + 4ab

  • (a - b)² = (a + b)² - 4ab

  • (a + b)² + (a - b)² = 2(a² + b²)

  • (a + b)³ = a³ + b³ + 3ab(a + b)

  • (a - b)³ = a³ - b³ - 3ab(a - b)
21657.

the length,breadth,and height of a metal block of mass 160 kg are 50cm,40cm and 20 cm respectively.calculate the density of the metal block.​

Answer»

Answer:

DENSITY= mass/volume.

=160kg/50×40×20cm³.

=160kg/60000cm³.

=0.00267kgcm–³.

please mark me as brainliest and GIVE me a THANKS.

21658.

आसाम चाय और दार्जिलिंग चाय के परिमाण का अनुपात 3:2हो, तो 25 किलोग्राम मिश्रित चाय में कितना दार्जिलिंग चाय औरमिलाने पर दोनों प्रकार के चाय का अनुपात समान होगा।​

Answer»

ANSWER:

what is the QUESTION, I don't UNDERSTAND?

21659.

Hello ka koi haplz solverationalize the dinominetor of 1/√7-√6? please answer me​​

Answer»

Step-by-step EXPLANATION:

HOPE this is HELPFUL for you ⚡⚡⚡

yeh I am here

batao KYA hua

21660.

(B) Write the division facts for the following multiplication facts:1. 6 x 8 = 482. 7 * 5 = 35​

Answer»

Answer:

1. 48÷8=6

2. 35÷5=7

Step-by-step EXPLANATION:

it is the REQUIRED DIVISION FACTS

21661.

The centre of the circle (0,0) and (3,-3) is a point on the circle, then its radius is​

Answer»

Step-by-step EXPLANATION:

RADIUS = 3

plz GIVE me brienliest

21662.

HOW TO SOLVE THIS?- Three interior angle of a pentagon measures 90°, 130° and 140°. Find the measure of the other two angles if one is twice the other.PLEASE DO NOT ANSWER IF YOU ARE NOT WILLING. THANK YOU.

Answer»

60,120

Step-by-step EXPLANATION:

LET the NUMBERS x,2x

90+130+140+x+2x=540

360+3x=540

3x=540-360

3x=180

x=180/3

x=60

x=60,2x=60*2

let the TWO angles=60,120

21663.

मिन्नमिनका जो36tsS S8F3​

Answer»

ANSWER:

PLEASE WRITE QUESTION CORRECTLY

21664.

If a = 2y^2 +b 3x-x^2 ; b = 2x^2 -3y^2 , c= 3x^2 -5xy then find i) a+b ii) b-c​

Answer»

ANSWER:

ydydyodhlxitsoy

Step-by-step explanation:

3==4€=being =6=7=60=60345/%

7=7=7=7/7=

/==6=tyt5 =/7

7=6÷50#

21665.

Question 20A problem based on the phenomenon of decision making under risk, in a statistical decision theory is referred to​

Answer»

They are referred to as probabilistic problems

  • Probability represents a discipline of mathematics related with several numerical EXPLANATIONS of the likelihood of an event taking place or the truth of a claim.
  • These potential problems are effectively solved by the fundamental Bayes theorem.  

21666.

The degree of polynomial 2xraise to 2'+5 is​

Answer»

Answer:

2

Step-by-step EXPLANATION:

SINCE the HIGHEST POWER is 2.

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21667.

6-a,x,6+a. on ap find the value of x​

Answer»

Step-by-step explanation:

6A-*6a

(6)2*(a)2

36a2

explanation

6 SQUARE - a square is equal to MINUS 36 a square

21668.

Factorise 3a^2bc+6ab^2c+9abc^2 with complete process and step by step explainationI WILL GIVE BRAINLIEST WHO GIVES CORRECT ANSWERAND GIVES FASTLY ​

Answer»

HOPE it will HELP you

please MARK me as BRANLIEST

21669.

The _ of an integer and its additive inverse is always equal to 0​

Answer»

Answer:

0

Step-by-step explanation:

zero dont have INTEGER additive INVERSE multiplicative inverse because zero is WHOLE number zero equal to all numbers for EXAMPLE 2+0=2

21670.

Is 6 mm is greater than 0.6 cm​

Answer»

ANSWER:

no

Step-by-step EXPLANATION:

both are same

21671.

Find,1 4956074+ 3549 203 +61300522) 237904 56+ 65432120​

Answer»

Step-by-step EXPLANATION:

एडिशन कर दो कैलकुलेटर पर

21672.

Satish saved 55% of his monthly income, which he further invested in two different schemes A and B in the ratio 7:5 on CI compounded annually at the rate of 10%p.a. and 20%p.a. respectively. if after two years, Satish gets total interest of Rs. 8074 from both the schemes, then find the total annual saving of satish?

Answer»

Answer:

The ratio of the money INVESTED in two schemes is 2.3 and the rate of the INTEREST CHARGED in the

schemes is 10% p.a. and 20% p.a. respectively. FIND the respective ratio of the amounts obtained

from the two schemes respectively after 2 years each; if the interest is COMPOUNDED annually.

please mark me as brainliest answer please mark me as brainliest answer

|

Step-by-step explanation:

.

.

.

21673.

एकदम एक्टर्स टू आई प्लस बी के माइनस के एंड 40 - 2 जे प्लस टू केयर परपेंडिकुलर टो ईच अदर देन फाइंड की​

Answer»

Step-by-step explanation:

I don't unterstand. your LANGUAGE. pls. TRANSLATE. ENGLISH

21674.

2) Explain how will you find the measure of angle A if sin A = 05 using your scientific calculator.

Answer»

Answer:

Answer:

Given :-

CURRENT = 2.5 mA

Potential DIFFERENCE = 12 V

To Find :-

Resistance

Solution :-

Current = 2.5 × 10^-³

Now

Resistance = Potential difference/Current

Resistance = 12/2.5 10^{-3}10

−3

Resistance = 4.8 kΩ

Now

Given :-

Potential difference = 9 V

To Find :-

Current flow

Solution :-

At FIRST the total Net resistance in the battery

0.2 Ω, 12 Ω, 0.3 Ω, 12 Ω,0.412 Ω,0.5 Ω, 12 Ω, 2.22 Ω

=> 49.632 Ω

Now

We know that

V = IR

By putting value

9 = I(49.632)

9/49.632 = I

0.18 = I

21675.

घनाचे घनफळ 125 सेमी आहे तर बाजू काढा​

Answer»

ANSWER:

  • jwjzbhsshhb fausyshhshenshewnmemp wmaossklwwsaaanen
21676.

Solve:2x+y=74x-3y=-1​

Answer»

Step-by-step EXPLANATION:

i HOPE it HELPS you

thanks

21677.

Sinar if x 2021. Id if defined by f(x) = {it x=0​

Answer»

ANSWER:

( x) = {40

Step-by-step explanation:

x= 40

and x*2= 80

so, F= x= 80- 20

= f(x)= 60 (ANS)

21678.

Please answer the fzjjsgdudjjfhajgyt and qgvjki​

Answer»

ANSWER:

PLEASE MARK Me As A BRAINLIEST

21679.

Plz help me in this fast plz l will make you brailist​

Answer»

ANSWER:

Step-by-step explanation:

the triangle to the second 3d SHAPE.

the PENTAGON to the fourth 3d shape.

the TRAPEZOID to the fifth 3d shape.

the square to the FIRST 3d shape.

the hexagon to the third 3d shape.

the circle to the last 3d shape(the cylinder).

21680.

An algebraic expression that contains three terms is called?

Answer»

Answer:

Here is your answer ⬇️

Step-by-step explanation:

EXPRESSIONS are made up of terms. ... Expression with THREE unlike terms is called a 'Trinomial'. • In GENERAL, an expression with one or more than one term (with non- negative INTEGRAL exponents of the variables) is called a 'Polynomial'.

Hope it's helps you

21681.

Please have a look at this.Hello,I'm from Telangana.i have just completed my tenth and im interested in maths. i want to become an engineer. can anyone suggest me which stream i have to take and further exams and courses i should appear for? please give me a way or roadmap. ​

Answer»

ANSWER:

you do what do you WANT to do. Do what you like.

And do what is GOOD for you and ALSO your FUTURE...

21682.

The volume of a cylinder is given by the formula πr²h,here h is ?​

Answer»

ANSWER:

HEIGHT

Step-by-step EXPLANATION:

H is GIVEN as height

21683.

Evaluate: √3+√2+√3-√5​

Answer»

Answer:

3+

2

)

5

−(3−

2

)

5

5

C

0

3

5

(

2

)

0

+

5

C

1

3

4

(

2

)

1

+

5

C

2

3

3

(

2

)

2

+

5

C

3

3

2

(

2

)

3

+

5

C

4

3(

2

)

4

+

5

C

5

(3)(

2

)

5

−(

5

C

0

3

5

(

2

))

0

5

C

1

3

4

2

+

5

C

2

3

3

(

2

)

2

5

C

3

3

2

(

2

3

+

5

C

4

3

1

(

2

))

2

5

C

5

3

0

(

2

)

5

2(

5

C

4

3

4

2

+

5

C

2

3

2

2

2

+

5

C

5

4

2

2((5)(81)

2

+10×9×2

2

+4

2

)

810

2

(180

2

+4

2

)2

1178

2

21684.

Verify that -(-x) = x, when : (i) X=8/5(2)x=-5/7​

Answer»

ANSWER:

Step-by-step EXPLANATION:

21685.

2.3. A continuous random variable X that can assume any value between x=2 and x=4 hasa density function given by f( ) =k(1+x). Find P(X

Answer»

<P>Answer:

2.3. A continuous RANDOM variable X that can assume any value between x=2 and x=4 has

a density function given by f( ) =k(1+x). Find P(X<4).

(2Marks)

21686.

A horse is placed for grazing inside a rectangular field 70m by 52m and is tethered to one comer by a rope 21mhow much area it can graze?​

Answer»

ANSWER:

Your answer is in IMAGE FORM.

21687.

Answer fast. If you give the write answer I will mark you brainliestf(x) = 2x2 - 3xFind the gradient of the curve y=f(x) whena) x=1b) x=4c) X=-5​

Answer»

Answer:

Step-by-step EXPLANATION:

Find the derivative using the rules of differentiation.

Substitute the x-coordinate of the GIVEN POINT into the derivative to calculate the gradient of the TANGENT.

Substitute the gradient of the tangent and the COORDINATES of the given point into an appropriate form of the straight line equation.

Make y the subject of the formula.

21688.

Some of the X and y intercept of the line 3 x minus 4 y is equal to 24 is​

Answer»

Answer: An intercept is a POINT where two objects , especially curves, meet. In this CASE we are looking for places where a line meets one of the COORDINATE axes.

Step-by-step explanation: Since the x-axis is the line where y = 0, and the y-axis is the line where x = 0, to FIND a point on either line we set the appropriate variable to zero in the equation of the graphed curve (line). Then it’s just a matter of solving the equation for the remaining variable, the intercept point we want.

Everything GETS easier when we use actual numbers.

For example, if x + y = 3 then if we want the x-intercept, set y = 0:

x + 0 = 3 . Or, x = 3 .

Hope you understand...

21689.

Find the value of sin 30° × cos 60°

Answer»

ANSWER:

The EXACT value of SIN(30) sin ( 30 ) is 12 1 2 . The exact value of cos(60) cos ( 60 ) is 12 1 2 .

21690.

Find three rational number between -3/7 and -2/7​

Answer»

ANSWER:

yggykzdufufucucufugudugudizcidhcucucucug

21691.

There are 31 children in a clss tia says 40 % of the class is boys. is this possible? why ? why not?

Answer»

40/100*31=12.4

a STUDENT can't be DIVIDED into PARTS

so it is not POSSIBLE

21692.

Which one is greater 7cm or 0.7 m​

Answer»

Answer:

0.7 m is GREATER than 7cm

1m =100 cm

,0.7x100

=700 m

21693.

756 is an_____number.(a) Odd(b) even(c) prime​

Answer»

Answer:

even no

Step-by-step explanation:

every no which ENDS with an even digit like 0,2,4,6,8 is definitely an even no. and is a.so DIVISIBLE by 2

756 ends with 6 so its an even no

its is not a PRIME no as the only even prime no is 2

21694.

Calculate the following by suitable arrangements (-60)×125×(-7)+16​

Answer»

ANSWER:

52516

Step-by-step EXPLANATION:

HOPE U LIKE the answer.

21695.

Determinethe nature of equationа) 2x+y=54×+2y=10​

Answer»

1/2 , 1/2 , 1/2

constant

PLEASE THANKS my all ANSWERS and folow me

21696.

Write the following in decimal form and say what kind of decimal expansion it has:11/13

Answer»

ELEVEN by THIRTEEN

MARK me BRAINLIST.

21697.

Ofwrite three possible values for length and beadth of rectanglewhose aroea is 2x^2 x 9 x-5​

Answer»

ANSWER:

i HOPE it will HELP you OKOK

21698.

Which term of the AP 24 21. 18.15.Is the first negative term​

Answer»

\large\underline{\sf{Solution-}}

\rm :\longmapsto\:Let \: assume \: that \: a_n \: is \: the \: first \: negative \: term.

GIVEN AP series is

  • 24, 21, 18, 15, ----

So,

  • First term of an AP, a = 24

Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

↝ nᵗʰ term of an arithmetic sequence is,

\begin{gathered}\red\bigstar\:\:{\underline{\orange{\boxed{\bf{\green{a_n\:=\:a\:+\:(n\:-\:1)\:d}}}}}} \\ \end{gathered}

Wʜᴇʀᴇ,

  • aₙ is the nᵗʰ term.

  • a is the first term of the sequence.

  • n is the no. of terms.

  • d is the common difference.

As,

\rm :\longmapsto\:a_n < 0

On substituting the values, we get

\rm :\longmapsto\:a + (n - 1)d < 0

\rm :\longmapsto\:24 + (n - 1)( - 3) < 0

\rm :\longmapsto\:24 - 3n + 3 < 0

\rm :\longmapsto\:27 - 3n< 0

\rm :\longmapsto\:27  < 3n

\rm :\longmapsto\:9 < n

\bf\implies \:n > 9

\bf\implies \:n = 10, \: 11, \: 12, \:  -  -  -  -

Hence,

  • 10TH term is the first negative term.

Additional Information :-

SUM of n terms of an AP is given by

\:  \:  \:  \:  \:  \boxed{ \bf \: S_n\:=\dfrac{n}{2} \bigg(2 \:a\:+\:(n\:-\:1)\:d \bigg)}

Wʜᴇʀᴇ,

  • Sₙ is the sum of n terms.

  • a is the first term of the sequence.

  • n is the no. of terms.

  • d is the common difference.

21699.

3 radian convert into degree​

Answer»

3RAD × 180/π = 171.887Deg

21700.

What is the value of √1​

Answer»

ANSWER:

√1 = 1

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