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.

Find xHope you guys can help me as soon as you can

Answer»

ANSWER:

(√4-3√10-3x)SQUARE=(x-2)square

(4-3√10-3x)square=(X2-4)square

12*10-3x=x4-16

120-36x=x4-16

104-36x=x4

(x2)2-36x-104=0

I HOPE now you can SOLVE it

2.

What is the problem of for drawing out a red king from a deck of card​

Answer»

ANSWER:

I THINK it is not problem but it is probability.

If it is so the answer is in the pic.

Step-by-step explanation:

PLEASE MARK MY ANSWER AS THE BRAINLIEST

3.

If z=-1+i then arg(z)=?

Answer»

ANSWER:

{\large{\overbrace{\underbrace{\purple{your  \: answer:arg(z) =  \sqrt{2} }}}}}  \\  \\  \red♡ dear *----*

Step-by-step EXPLANATION:

{\boxed{\bf\ z = x + iy }}\\  \\  \bf\ \: modulas \: of \: z =   |z|  \\  \\  \bf\underline{\implies |z|  =  \sqrt{ {x}^{2}  +  {y}^{2} } } \\  \\  \\  \bf\underline{here} \: \: \bigstar  z =  - 1 + i  \:  \:  \bigstar\\  \\  \bf\ x =  - 1 \: and \: y = 1 \\  \\  \bf\ modulas \: of \: z =  |z|  \\  \\  \bf\ : \implies \sqrt{ {x}^{2} +  {y}^{2}  }   \\  \\ \bf\ : \implies \sqrt{ {1}^{2}  +  {1}^{2} }  \\  \\ \bf\ : \implies \sqrt{1 + 1}  \\  \\  \boxed{\implies \sqrt{2} }\\  \\ \bf\red{ \mapsto \: arg(z) =  \sqrt{2} }

\large\boxed{ \fcolorbox{lime}{yellow}{hope \: it \: help \: you}}

4.

प्रश्न - एक दुकानदार 1 रुपये में 3 चॉकलेट देता है और 3 चॉकलेट का कवर (Raper) वापस करने पर 1 चॉकलेट और देता है । तो बताये 45 रुपये में कुल कितने चॉकलेट मिलेगा।​

Answer»

Abcdefghijklmnopqrstuvwxyz

Very EASY ANSWER

5.

13. One of the angles of a triangle is 100 and the other two angles are equal. Find each of the equalangles​

Answer»

Answer:

100

40

40

Step-by-step EXPLANATION:

LET the other two angles be x as they are equal

100+x°+x°=180° (ANGLE SUM property of a triangle)

100+2x=180°

2x=180-100

2x=80°

X=40°

So the angles of the triangle are 100,40,40

6.

In the given ordered pair (4,6), (8,4), (4,4),(9,11).(6,3), (3,0);(2,3) find the following relationsAlso find the domain and range.a) Is two less thanb) Is less thanc) is greater thand) is equal toplease answer it fast .very argent ​

Answer»

ANSWER:

Ans= A,B,C,D

Step-by-step explanation:

From the GIVEN order the pairs are is two less than

is less than

is GREATER than

and it is equal to i think it CORRECT

7.

Find the quadratic polynomial whose zeroes are 1/3 and -1​

Answer»

ANSWER:

HELLO FRIEND.....

GOOD MORNING......

8.

D is the mid point on AC of triangle ABC such that AD is equall to DC which is 2:3. E is the mid point on BC then find the ratio of triangle ABC to that of triangle DEC.​

Answer»

Answer:

MATHS

D is any point on AC in ABC. Now, P,Q,X,Y are the mid points of AB, BC, AD and DC respectively. Show that PX = QY.

December 27, 2019avatar

Savneet Tikhade

SHARE

ANSWER

In △ABC,P and Q are mid points of AB and BC respectively.

So, PQ∣∣AC and PQ=

2

1

AC ..................(1) (Mid point theorem)

SIMILARLY, X and Y are mid points of sides CD and AD respectively.

we get

PQ∣∣XY and PQ=XY

Hence, PQXY is a parallelogram .... (pair of opposite sides is parallel and equal)

Now, XY∣∣AC and QY∣∣BD

And diagonals in PQXY are equal

Then PX=QY

9.

Find the hcf of 344 and by prime factorisation method and lcm​

Answer»

ANSWER:

344 = 2*2*2*43

60 = 2*2*3*5

HCF = 2* 2

= 4

10.

What is meant by linear programming​

Answer»

Answer:

HEY Buddy here's ur answer

  • LINEAR PROGRAMMING (LP, also called linear optimization) is a method to ACHIEVE the best outcome (such as maximum profit or lowest cost) in a mathematical model whose REQUIREMENTS are represented by linear relationships.

  • Linear programming is a special case of mathematical programming (also known as mathematical optimization).
11.

For integers a,b,c hcf(a,b) = 1 (A,C)=1 then​write the explaination

Answer»

LET

given ABC are integers

HCF(a,b)=1

HCF(a,C)=1

then a,b,c integers are prime numbers

because prime numbers always HCF is 1 only

please mark as Brainliest

12.

Sangeeta and reshma play tennis match the It is known that probability of sangeera winning the match is 0.62 what is the probability of reshma winning the match​

Answer»

Answer:

0.38

Step-by-step explanation:

100 -0.62

=0.38 it it is the PROBABILITY of WINNING RESHMA TENNIS

13.

Write down the rational number from p÷q whose numerator and denomenator are given below - (-5) ×4 and -5+4​

Answer»

ANSWER:

HELLO FRIEND....

GOOD MORNING......

14.

Simplify the equation x^2-25=0​

Answer»

ANSWER:

=>x^2-25

=>(x^2-5^2)

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

=>(x+5)(x-5)

FOLLOW ME AND THANK MY ANSWERS

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15.

Find the greatest 4 digit number which is a perfect square with steps

Answer»

ANSWER:

9999 is your answer ☺☺

16.

Find the integer whose product with -1 is 72​

Answer»

ANSWER :D

-1 × _ = 72

-1 × -72 = 72

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17.

Writeone sentence about a binomial having degree 4​

Answer»

hey MATE here is UR ANSWER

x⁴ - 3

HOPE it HELPS..

18.

3x+2y if X=2 and y=-1​

Answer»

ANSWER:

4

Step-by-step explanation:

3*2+2*(-1)

6+(-2)

6-2

4

19.

Show that square of odd positive integer is of the Form 8m + 1 for some whole number m ​

Answer»

\huge \mathfrak \red{answer}

_____________________________

Question:✥

show that square of odd positive integer is of the Form 8m + 1 for some whole number m

step to step explanation:❖

  • let 'a' is any positive integer
  • then b=8

using EUCLID division lemma

  • 0R < b then
  • 0 ≤ r < 8 .

then positive eithere are 0,1,2,3,4,5,6,7

from the question given odd positive integer

so it's will be 1,3,5,7

____________________________

\sf \underline \blue{case1}

=  \rm{r = 1}

=  \rm{a = bm + r}

= \rm{(8q + 1) }^{2}

=  \rm{64 {m}^{2} + 16m + 1}

\rm{= 8( 8 {m}^{2} + 2m ) + 1}

=  \rm{8q + 1 . [ Where \:  q = 8 {m}^{2}  + 2m ]}

___________________________

\sf \underline \blue{case2}

=  \rm{r = 3}

\rm{a = bq + r}

\rm{= (8q +3) }^{3}

\rm{= 64 {m}^{2} + 48m + 9 = 64 {m}^{2}  + 48m + 8 + 1}

\rm{= 8( 8 {m}^{2} + 6m + 1 ) + 1}

= \rm{8q + 1 . [ Where \:  q = 8 {m}^{2}  + 6m + 1 ]}

_________________________

\sf \underline \blue{case3}

\rm{r = 5}

\rm{a = (8q + 5) ^{2} }

\rm{= 64 {m}^{2}  + 80m + 25 = 64 {m}^{2}  + 80m + 24 + 1}

\rm{= 8( 8 {m}^{2} + 10m + 3 ) + 1}

\rm{= 8q + 1 . [ Where \:  q = 8 {m}^{2} + 10m + 3}

____________________________

\sf \underline \blue{case4}

\rm{r = 7}

\rm{a = ( 8q + 7)^{2} }

\rm{= 64 {m}^{2}  + 112m + 49 = 64 {m}^{2}  + 112m + 48 + 1}

\rm{= 8( 8 {m}^{2} + 14m + 6 ) + 1}

\rm{= 8q + 1 . [ Where q = 8 {m}^{2} + 14m + 6 ] }

therefore,the square of any odd positive integer is of the form 8q + 1 .

I hope it's help uu

mark it as brainlist

20.

Subtract the sum of -1245 and 813 from -23​

Answer»

Answer:

According to the question:

(-23) - {(-1245)+813}

= (-23) - (-1245+813)

= (-23) - (-432)

= -23 + 432

= 409        Ans.

21.

Find the 13th term of the geometric sequence 5, 10, 20, ...

Answer»

Answer:

20,480

Step-by-step EXPLANATION:

a= FIRST term = 5

r = 2

To FIND : 13th term

a13 = a(r^13-1)

a13=5(2^12)

=20,480

The 13th term of this geometric progression = 20,480

22.

Two jars contain sweets. Jar X has red and white sweets in the ratio 1:5, and jar Y has red and white sweets in the ratio 1:12. Two jars are then mixed together. Find the smallest number of sweets that could have been in each jar if the red and white sweets are now in these ratiosa. 1:7 b. 1:8 c. 1:9

Answer»

Answer:

Solving Proportion Problems

Suppose a collection of

N

objects are of two types, X and Y, so that the RATIO of the number of type X objects to the number of type Y objects is

m

:

n

.

The we can let the a variable, say

u

,

whose value is a counting number, stand for the unit of the proportion AD use the equation

m

u

+

n

u

=

N

to DESCRIBE the collection. The equation states that there are

m

u

objects of Type X and

n

u

objects of Type Y, so that the ratio of the number of X to the number of Y is

m

u

:

n

u

=

m

:

n

,

and that the total number of objects is

N

,

as required.

23.

Circle the smaller integer and write its predecessor(a) -5,13 (b) -4,2​

Answer»

ANSWER:-5 is SMALLER INTEGER its PREDECESSOR is -6

-4 its predecessor is-5

24.

Hey mate plz solve it​

Answer»

ANSWER:

b=-√6

Step-by-step explanation:

it is the CORRECT answer please LIKE and FOLLOW me

25.

TheSum of two integers is -4if one one them is -3, thenfind other​

Answer»

Answer:

LET other integer be X

given x + -3 = -4

x = -4 - (-3)

x = -4 + 3

x = -1

Step-by-step explanation:

PLS MARK as branliest

26.

What is the fundamental theorem of arithmetic?Explain.​

Answer»

THE FUNDAMENTAL THEOREM OF ARITHMETIC

We are familier with PRIME numbers like 2, 3, 5, 7,. 11, 13, 17, 19, 23, 29, 31, 37, ...

We also know that any natural number can be WRITTEN as a product of its prime factors.

For example:

4 = 2 × 2 = 2²

18 = 2 × 3 × 3 = 2 × 3²

90 = 2 × 3 × 3 × 5 = 2 × 3² × 5

245 = 5 × 7²

260 = 2 × 2 × 5 × 13 = 2² × 5 × 13

21252 = 2 × 2 × 3 × 7 × 11 × 23 = 2² × 3 × 7 × 11 × 23 and so on.

FACTOR THREE

We are aware that any number cabe written as a product of powers as a product of powers of primes using the factor tree.

ILLUSTRATION : Express 1092 as product of its prime factors.

Solution : Refer to the attached picture.

OBSERVATION

The above observation lends us to a conjecture that every composite number can be written as the product of primes. In fact, this statement is true and is called the Fundamental Theorem of Arithmetic because PF its basic relevance (IMPORTANCE) in the development of number theory.

Now, let us formally state this theorem :

THEOREM (FUNDAMENTAL THEOREM OF ARITHMETIC)

Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.

It is noteworthy that the prime factorization of a natural number is unique, except for the order of its factors.

General statement : In general, we factorise a given composite number 'a' as a = p₁p₂p₃.....pᵤ, where p₁p₂p₃.....pᵤ, are primes and written in ascending order, i.e., p₁ ≤ p₂ ≤ p₃ ≤ ..... ≤ pᵤ.

27.

Please explain the full answer.....................

Answer»

ANSWER:

The value of the expression is 0.

GIVEN:

( \dfrac{x {}^{a} }{x {}^{b} } ) {}^{a + b}  \times ( \dfrac{x {}^{b} }{x {}^{c} } ) {}^{b + c}  \times ( \dfrac{x {}^{c} }{x {}^{a} } ) {}^{c + a}

TO FIND:

The value of above EXPRESSION.

SOLUTION:

= ( \dfrac{x {}^{a} }{x {}^{b} } ) {}^{a + b}  \times ( \dfrac{x {}^{b} }{x {}^{c} } ) {}^{b + c}  \times ( \dfrac{x {}^{c} }{x {}^{a} } ) {}^{c + a}  \\  = x{}^{(a - b)(a + b)}  \times x{}^{(b - c)(b + c)}  \times x{}^{(c - a)(c + a)}  \\  = x {}^{(a {}^{2} - b {}^{2})  }  \times x {}^{(b {}^{2} - c {}^{2} ) }  \times x {}^{(c {}^{2} - a {}^{2})  }  \\  = x {}^{a {}^{2} - b {}^{2}  + b {}^{2} - c {}^{2} + c {}^{2}   - a {}^{2}   }  \\   \\ all \: power \: will \: cancel \: out. \: we \: get \\  = x {}^{0}  \\  = 1

The value of the expression is 0.

NOTE:

some IMPORTANT FORMULAS:

\implies \: a {}^{x}  \times a {}^{y}  = a {}^{ x + y}  \\  \implies \: a {}^{x}  \div a {}^{y}  = a {}^{x - y}  \\ \implies \:  a {}^{(m) {}^{n} }  = a {}^{mn}

28.

Circle the smaller integer and write its predecessor - 10, 15​

Answer»

ANSWER:

the SMALLEST INTEGER is - 10

29.

A drum contains 100 l of kerosene oil.Due to leakage 1/50 l of the oil leakes from it how much oil is left in the drum​

Answer»

Answer:

total kerosene =100 litre

LEAKED kerosene = 1/50 of 100

=1/50 ✖ 100

= 2 litre

REMAINING kerosene = total kerosene - remaining kerosene

=100-2

=98 litre

Step-by-step explanation:

mark as brainliest PLZ.....

30.

If In=integral t^n/(1+t^2)dt then I6+I4= ​

Answer»

\underline{\textsf{Given:}}

\mathsf{I_n=\displaystyle\int\dfrac{t^n}{1+t^2}\,dt}

\underline{\textsf{To <klux>FIND</klux>:}}

\mathsf{I_6+I_4}

\underline{\textsf{Solution:}}

\textsf{Consider,}

\mathsf{I_6+I_4}

\mathsf{=\displaystyle\int\dfrac{t^6}{1+t^2}\,dt+\int\dfrac{t^4}{1+t^2}\,dt}

\textsf{Merging the integrals, we get}

\mathsf{=\displaystyle\int\dfrac{t^6+t^4}{1+t^2}\,dt}

\mathsf{=\displaystyle\int\dfrac{t^4(t^2+1)}{1+t^2}\,dt}

\mathsf{=\displaystyle\int\dfrac{t^4(1+t^2)}{1+t^2}\,dt}

\mathsf{=\displaystyle\int\,t^4\,dt}

\mathsf{=\dfrac{t^5}{5}+C}

\underline{\textsf{Answer:}}

\mathsf{I_6+I_4=\dfrac{t^5}{5}+C}

Find more:

INTEGRATE of e^X SEC x(1+tanx) dx

brainly.in/question/6040969

31.

30 e into a square BC Plus a b square c plus ABC square by divided by 6abc use suitable identity​

Answer»

vaduogaduogauodguogaduovaduogqduogukvsf

aag

?sa

adv

sag

ae

da

ad

ad

ad

ad

ad

da

ad

ad

ad

ad

adv

ad

g

dag

ad

ba

dg

adbka

Step-by-step EXPLANATION:

ipsacbpiasgfpisagflisadgliadvluadlqjdbsjlabdljabdliwbdukdukukvwuogwdoigwduogwduovwdukvwuodgauidgsvduisdvuisvduisdvauigwdauogwduigwaduwogfuogwfuogwfuogafuogafuogafuogafuogwfuig

32.

Product :(x^2y+x^3)(x^6+y)​

Answer»

Step-by-step EXPLANATION:

here

(x^2y+ x^3)(x^6+y)

= > x^8y +x^2y+x^9+x^3y

hope it HELPS

33.

Prove that 5 +2Г3 is irrational​

Answer»

let's 5+ 23 is an rational no.

so , 5 + 2 3 = a/b

3 = a/2b - 5

a/2b-5 is an rational number

so, 3 ALSO should rational number

but , a contract has arisen 3 is an irrerational number

so , our assumption is wrong .

5+ 23 is an irrerational number ❤️

34.

A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface area are in the ratio 8:5, show that the radius of each is to the height of each as 3:4.​

Answer»

Given :-

  • Cylinder and a cone have equal RADII of their bases and equal heights.
  • CSA ratio = 8 : 5 .

To Show :-

  • Radius : Height = 3 : 4 . ?

FORMULA used :-

  • CSA of cone = π * r * l
  • l = Slant Height = √(r² + h²) => l² = (r² + h²)
  • CSA of cylinder = 2 * π * r * h

Solution :-

LET radius of cone & cylinder = r

Height of cone & cylinder = h .

slant height of cone = l

A/q,

(CSA of cylinder) / (CSA of cone ) = 8/5

→ (2 * π * r * h ) / ( π * r * l ) = 8/5

π & r will be CANCEL,

(2h / l) = 8/5

→ h / l = 4/5

Squaring both sides ,

(h/l)² = (4/5)²

→ h²/ l² = 16/25

Putting = ( + ) in LHS,

h²/(r² + h²) = 16/25

Cross - Multiply,

25h² = 16(r² + h²)

→ 25h² = 16r² + 16h²

→ 25h² - 16h² = 16r²

→ 9h² = 16r²

→ r²/h² = 9/16

Square - root both sides ,

r/h = 3/4.

Hence,

r : h = 3 : 4. (Ans).

35.

Using suitable i dentities evalute (103)3

Answer»

Answer:

{(100 + 3)}^{3}  \\  =  > {(a + b)}^{3}  =  {a}^{3}  +  {b}^{3}  + 3 {a}^{2} b + 3a {b}^{2}  \\ so \\  =  {100}^{3}  +  {3}^{3}  + 3( {100})^{2} .3 + 3 \times 100 \times  {3}^{2}  \\  = 1000000 + 27 + 90000 + 2700 \\  = 1092727

Hope it HELPS you.

PLZ MARK it as BRAINLIEST.

36.

81×10^-12 -8×10^-11​

Answer»

Answer:

1×10^-12

Step-by-step EXPLANATION:

(81×10^-12)-80×10^-12

37.

Circle the smaller integer and write its predecessor 2, - 3​

Answer»

Step-by-step EXPLANATION:

-3 is the smallest integer and its predecessor is -2.

38.

If cos² alpha + cos² beta = 2 Find tan³ alpha + sin^5 beta

Answer»

Answer:

Shorya9017Maths AryaBhatta

Step-by-step explanation:

COS alpha / SIN alpha = 1/2. , so

sin alpha/ cos alpha = 2

tan alpha = sin alpha / cos alpha.

So tan alpha = 2

1/cos BETA = -5/3

cos beta = -3/5

sin beta = √ 1- cos ^2 beta

sin beta = √1-(-3×-3/5×5)

= √1-9/25 = √25-9/25

sin beta = √ 16/25 = 4/5

tan beta = sin beta / cos beta

cos beta = -3/5 , sin beta = 4/5

tan beta =( 4/5 )/ (-3/5)

tan beta =-4/3

tan (alpha+beta) = tan alpha + tan beta / 1-tan alpha× tan beta.

={ 2 + (-4/3)}/1-2×(-4/3)

=(6 -4 /3 ) / 1+(8/3)

= (2/3 ) / 3+8/3

=(2/3) / 11/3

=2/3 × 3/11

tan (alpha + beta ) = 2/11

Hope it may help you ♥

plzz mark as BRAINLIST...

39.

Prove that 6 Г5 is irrational​

Answer»

let 65 be a rational no.

so, 65 = a/b

5 = a/6b

a/6b is an rational no

so , 5 is also rational no

a CONTRADICT has ARISEN 5 is an irrerational no

so , our assumption is WRONG

65 is an irrerational NUMBER . ❤️

40.

Chorizo & Mozzarella GnocchiThis recipe is made for 6 people. I only want to cook enough for 2 people. Change the quantities.Original recipe: 15ml Olive oil1 onion2 garlic cloves120g Chorizo800g Tomatoes1tsp sugar600g gnocchi125g Mozzarella25g fresh basil New Recipe:

Answer»

HEY!!!HERE IS YOUR ANSWER!!!!!

IF YOU WANT TO COOK FOR TWO PEOPLE HERE IS THE QUANTITIES ACCORODING TO ME..YOU CAN ALSO CHANGE THIS QUANTITES..

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1 onion

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41.

The measurement of angles on a straight line is​

Answer»

Answer:

. This is the angle all the way round a POINT. HALF of this is the angle on a STRAIGHT line, which is 180°.

hope it's HELP you!.

42.

​please write the explaination

Answer»

ANSWER:

a2+B3= 12/45

Step-by-step EXPLANATION:

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43.

Can 7/2 be the probability of an event? explain​

Answer»

ANSWER:

no PROBABILITY NEVER more than 1

44.

Circle the smaller integer and write its predecessor - 2, - 5​

Answer»

Step-by-step EXPLANATION:

The smallest integer in the question is -5 and its predecessor is -4.

45.

Find the 9th term of the geometric sequence 4, 16, 64, ...

Answer»

Answer:

4 to the power 9 is the correct answer of this QUESTION

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46.

Prove thar 3 + Г5 is irrational​

Answer»

Answer:

Let us suppose 3+root 5 is rational.

=>3+root 5 is in the FORM of p/q where p and q are INTEGERS and q is not =0

=>root5=p/q-3

=>root 5=p-3q/q

as p, q and 3 are integers p-3q/3 is a rational number.

=>root 5 is a rational number.

but we know that root 5 is an IRRATIONAL number.

this is an contradiction.

this contradiction has arisen because of our wrong ASSUMPTION that 3+root 5 is a rational number.

hence 3+ root 5 is an irrational number.

47.

The hundreds place is ---_-- times smaller then the lakh place​

Answer»

Answer:

3 TIMES LESSER then LAKH PLACE

48.

7/2+19/7*7/19-1/2÷2​

Answer»

Step-by-step explanation:

3.5+2.71×0.37-0.25

4.25

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49.

Change into percentage form:1/4​

Answer»

25 percent

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50.

If p(E)=3/4what is the probability of not E​

Answer»

<P>Step-by-step EXPLANATION:

p(E)= 3/4

p(not E) = 1/ 3/4= 1/4

hope it HELPS