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.

What is it called when the product of 2 fractions is unity

Answer»

MUTIPLICATIVE IDENTITY

2.

3⁴×4³×7³ by 49×7×2 power 6×3²​

Answer»

Answer:

Exponents

Let’s start with a REVIEW of the basics.

2

5 = 2 × 2 × 2 × 2 × 2

When writing 2

5

, the 2 is the base, and the 5 is the exponent or power.

We generally think of multiplication when we see a number with an exponent.

With 2

5

, we think of five twos multiplied together.

So let’s make a list to practice this way of thinking.

2

2 = 2 × 2 = 4

2

3 = 2 × 2 × 2 = 8

2

4 = 2 × 2 × 2 × 2 = 16

2

5 = 2 × 2 × 2 × 2 × 2 = 32

2

6 = 2 × 2 × 2 × 2 × 2 × 2 = 64

2

7 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

2

8 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256

2

9 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 512

2

10 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024

2

11 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2048

2

12 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 4096

2

13 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 8192

2

14 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 16,384

So, obviously, exponents are all about multiplication.Let’s reverse the order of our list.

2

14 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 16,384

2

13 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 8192

2

12 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 4096

2

11 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2048

2

10 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024

2

9 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 512

2

8 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256

2

7 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

2

6 = 2 × 2 × 2 × 2 × 2 × 2 = 64

2

5 = 2 × 2 × 2 × 2 × 2 = 32

2

4 = 2 × 2 × 2 × 2 = 16

2

3 = 2 × 2 × 2 = 8

2

2 = 2 × 2 = 4

Now, take a LOOK at the products from the top of the list to the bottom. Instead of

multiplying by two, we are dividing by 2 to get the next one.

So, let’s continue the list by dividing by 2.

2

1 = 2

2

0 = 1

2

−1 =

1

2

2

−2 =

1

4Any multiplication pattern, in reverse, becomes a DIVISION pattern.

When applying the division pattern to exponents, it proves a few things.

1. It shows why a base to the power of 1 is itself.

Example: 5

2 = 25

25 ÷ 5 = 5

Therefore,

= .

You can also think of 5

1

as one 5, but that doesn’t help you extend to the power of

zero or NEGATIVE exponents.

2. It also shows why bases to the power of 0 equal 1.

Example: 5

2 = 25

25 ÷ 5 = 5

5

1 = 5

5 ÷ 5 = 1

Therefore,

= .

*There is an EXCEPTION. If the base is 0, and since you have to use a division

pattern to get to a base with the power of 0, then you have to divide zero by zero.

What do we get when we divide any number by 0? It’s undefined. You cannot

divide by zero. So,

= . Not all mathematicians agree with this,

but for middle school, this is what we can understand and support with division.

3. Any base to the power of a negative exponent is the reciprocal of the same

base to the opposite, positive exponent.

Example: 5

−2 =

1

25

5

2 = 25

Example: 2

−3 =

1

8

2

3 = 8

3.

What is the formula of (a+b)(a-b)​

Answer»

ANSWER:

Here is your answer

Step-by-step EXPLANATION:

a²-ab+ab-b² which is a²-b²

4.

Write three consecutive whole numbers starting from 4999​

Answer»

Step-by-step EXPLANATION:

ANSWER ::

Three consecutive WHOLE numbers starting from 4999 are 4999, 5000, 5001

5.

Rational numbers 3 by 5 +8 by 5​

Answer»

Answer:

\frac{11}{5}

Step-by-step explanation:

\frac{3}{5}  +  \frac{8}{5}

\frac{3 + 8}{5}

\frac{11}{5}

HOPE THIS ANSWER HELPS YOU ✍...

PLEASE MARK IT AS BRAINLIEST...

6.

Yaar koi to batado. ​

Answer»

Answer:

do you play garena free FIRE

Step-by-step EXPLANATION:

I play

this is my I'd

badboy2912a

SEND me FRIEND REQUEST

7.

If alpha and beta are zeroes of polynomial ax^2+bx+c.Find1. alpha^3+beta^32. alpha-beta

Answer»

α and β are the ZEROES of the polynomial ax² + bx + c.

★ Sum of the zeroes : α + β = -b/a

★ Product of the zeroes : αβ = c/a

Case 1 :

α³ + β³ [ Given ]

α³ + β³ ⇒ ( α + β ) ( α² + β² - αβ )

α³ + β³ ⇒ ( α + β ) [(α² + β² +2αβ ) - 3αβ ]

α³ + β³ ⇒ ( α + β ) [ ( α + β )² - 3αβ ]

PUTTING the VALUE

α³ + β³ ⇒ -b/a [ ( -b/a )² - 3c/a ]

α³ + β³ ⇒ -b/a [ b²/a² - 3c/a ]

α³ + β³ ⇒ -b/a ( b² -3ac / a² )

α³ + β³ ⇒ -b³ + 3ac / a³

Case 2 :

α - β [ Given ]

Squaring ,we get

( α - β )² ⇒ ( α + β )² - 4αβ

( α - β )² ⇒ ( α + β )² - 4αβ

★ Putting the values

( α - β )² ⇒ ( -b/a )² - 4 × c/a

( α - β )² ⇒ b²/a² - 4c/a

( α - β )² ⇒ b² - 4ac / a²

α - β ⇒ √b² - 4ac / a

8.

Plzzz ans it guys If u dnt knw dnt ansFind the value of x in the fig​

Answer»

ANSWER:

r=30

Step-by-step EXPLANATION:

p+q+r=180 (ANGLE SUM PROPERTY)

90+60 +r=180

150+r=180

r=180-150

r=30

FOLLOW ME......

9.

52.50=30+[50-9(x+19)/12]*10

Answer»

OK here is your answer MATE.......

52.50=30+(50-9(x+19)*12)*10

first here by bodmass rule.....

() bracket first......

I THINK your question I WRONG mate

what is this /12 in your question

10.

The age of father is 30 years and age of the son is 8 years . In how many years the age of father will be twice the age of son ?​

Answer»

Answer:

14 years

Step-by-step EXPLANATION:

HOPE this HELPS U

11.

A2 - 6a + 1 = 0 find a2 - 1/a2

Answer»

In which CLASS do you STUDY???

12.

Answer the above question with steps in proper way? ​

Answer»

ANSWER:

This is the PROOF of your QUESTION

13.

If x1 and x2 satisfythe equation 2^2x-8.2^x+12=0 then find x1+x2

Answer»

<P>Answer:

Assume that,

2^x = p

Then,

p^2 - 8p + 12 = 0

p^2 - 2p - 6p + 12 = 0

p ( p - 2 ) - 6 ( p - 2 ) = 0

( p - 6 ) ( p - 2 ) = 0

p = 6 , 2

now,

2^x1 = 6 and 2^X2 = 2

2^x1 + 2^x2 = 6 + 2

x1 + x2 = 8

Hope that the answer is helpful to you

Follow me

14.

Solve the following pair of linear equations by any suitable method :x + y = 52x - 3y = 5.ide 11 cmABand Dare the​

Answer»

ANSWER:

I don't kno.wn the answer

15.

2) 2 consecutive evenno's are such thatchalf of the larger hundercocceeds one fourthof the smaller by 6. Find the numbers.​

Answer»

ANSWER:

its very EASY the answer is 3AND4

16.

A rope is laid flat on the earth ground all around the earth so that it is covered at both ends the Earth circumference is approximately 40,000 kilometre long if the rope was lifted to one meter above the surface how much more rope would you need to connect it again?​

Answer»

ANSWER:

Answer is in the PIC...

HOPE THIS HELPS...

PLZ MARK BRAINLIEST...

17.

Swish Sahu ww hath wwhusussi​

Answer»

ANSWER: akya HAY BHOSDI K

Step-by-step explanation:

It's SWISH

18.

Plz solve this fast plz plz​

Answer»

HOPE it will HELP you......

19.

Q.3(b) Expand the following and then simplify as much as possible:a2(2b - a) - a(3b2 - a2)​

Answer»

ANSWER:

Example 3 : The irreducible factorisation of 3A3 + 6a is. (a)3a (a2 + 2). (B) 3 (A3 + 2). (c) a (3a2 + 6). (d) 3 × a × a × a + 2 × 3 × a. Solution. : The

Step-by-step explanation:

20.

Solve the followingQ. 35.25÷15​

Answer»

Answer:

2.35 is the answer

Step-by-step EXPLANATION:

HOPE it HELP you

21.

a classroom is 21 m long ,14 m wide , 6cm deep ,find the sum of the area of the four walls and it's floor​

Answer»

Answer:

Is it 6 CM or 6 METER

The area of four walls is 420 Sq.m and the FLOOR area is 294 Sq.m

22.

The difference in the measures of 2 complementary angles is 12°. find the angles​

Answer»

x+y = 90.......(i)

x-y = 12........(ii)

subtract eq (ii) from eq(i)

2x = 78

x = 39

put the VALUE of x in eq (i)

39+y = 90

y = 90- 39

y = 51

The ANGLES are 39' and 51'

23.

Find the quotient and remainder if x3-5x2+8x-4 is divided by x-1​

Answer»

\huge\mathbf{{\fcolorbox{silver}{silver}{Hey mate, }}}

\huge\mathbf{{\fcolorbox{silver}{silver}{ Answer :}}}

USE REMAINDER FACTOR theorem

x-1=0

x=1

put the value

x3-8x2+19x-12=0

LHS=

1-8+19-12

=0=RHS

Hence x-1 is a factor of the GIVEN EXPRESSION .

\huge\mathbf{{\fcolorbox{silver}{silver}{I am glad to help}}}

24.

Symbol for negation is in maths ​

Answer»

Answer:

Basic logic symbols

Symbol Name Category

¬ ˜ ! NEGATION propositional logic

Domain of discourse Predicate (MATHEMATICAL logic)

∧ · & logical conjunction propositional logic, BOOLEAN algebra

∨ + ∥ logical (inclusive) disjunction propositional logic, Boolean algebra

hope it will help you PLZ mark me as BRAINLIST ❤❤

25.

Write the divisibility rule for 11 and give one example

Answer»

ANSWER:

tuityyrt to tigusfuduyfut the INTENDED RECIPIENT you are not the intended recipient you must not be ABLE and willing

Step-by-step explanation:

ggfjvvcjjdjdudbdjdndhdjdbdjdhdhhhud the intended recipient you are you are not the intended recipient you are not the intended recipient you are not the intended recipient you are not the intended recipient or an quadratic trinomial and sweet morning u can text me at the u can text me at the intended tight and sweet morning

26.

9.a) Find the values of f, and f, the frequency, if the mean of the following frequencydistribution is 21.4 and the total frequency is 40.Class - Interval0-88-1616-2424-3232-40Frequency6f10f,9​

Answer»

ANSWER:

8,7it is answer for QUESTION .

27.

Find the coordinates of the point which divides the line segment joining the points (0, -3) and (8,1) in the ratio 3:1 internally

Answer»

Answer:

your search - FIND the coordinates of the point which divides the line segment joining the POINTS (0, -3) and ... - did not match any documents.

Suggestions:

Make sure that all WORDS are SPELLED correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Step-by-step explanation:

28.

9sec-A-9tan'A.कोहलकाजए।016. In the figure below, find the length of side AB​

Answer»

ANSWER:

ANSWER

We have, 9SEC

2

A−9tan

2

A

Let r=9sec

2

A−9tan

2

A

r=9(sec

2

A−tan

2

A)

We know that

sec

2

A−tan

2

A=1

Therefore,

r=9×1=9

Hence, this is the answer.

29.

(Hint: Study them) 0.001Express the following in the form where p and q are integers and cam) 0.47​

Answer»

ANSWER:

PLEASE FOLLOW please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please

Step-by-step EXPLANATION:

please follow please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please

30.

Choose the correct answer and explainIf a and b are two consecutive natural numbers and a > b , then a²– b² is equal to A) a + bB) a - bC) a × bD) a ÷ b ​

Answer»

ANSWER:

A.a+b is the RIGHT answer

31.

The angel of quadrilateral are respectively 100°98°92°find the fourth angle​

Answer»

ANSWER :

  • The fourth angle of a quadilateral is

Explanation :

We are given with the three angles of a quadrilateral, that is,

We have to find out the fourth angle of a quadrilateral.

_________________________

Now,

Let us assume that, the fourth angle of a quadrilateral is "x".

We know that, if we are given with the three angles of a quadrilateral then we have the required formula, that is,

→ The sum of all four angles of a quadrilateral is 360°. This statement is known as 'angle sum property of a quadrilateral'.

Substituting the given VALUES in the formula,

⇒ 100 + 98 + 92 + x = 360

⇒ 198 + 92 + x = 360

⇒ 290 + x = 360

⇒ x = 360 - 290

x = 70

Hence, the fourth angle of a quadrilateral is 70°.

32.

Dividing the numerator and thedenominator of a rational numberby theirreduces it to itssimplest form.i. multipleii. LCM11i. HCFiv. 1​

Answer»

Answer:

YES u are right plz MARK as brain LIST have a GREAT day ♥️

33.

Sin²A + cos²A = ___​

Answer»

Step-by-step explanation:

111111111111111111111111111111111111111111111111111111

34.

11. The opposite side of a trapezium are parallel.a. True b. false c. true or falsed. none of these​

Answer»

Step-by-step EXPLANATION:

B} false

I hope it MAY HELP to you

35.

Divide: 3x2+12x3+4x+1 by 4x+1​

Answer»

Step-by-step EXPLANATION:

vf15000000000000+20345867000000

36.

which mathematician gives world first proof in geometry of a statement "A circle is bisected by its diameter"?​

Answer»

ANSWER:

vrfvgtbyhnujmrq3werfg45vvgv5fgthhy

aedasgrhytfbh

Step-by-step

Step-by-step EXPLANATION:dgdutshdvhvbghfta

37.

If tan A = 15/7, find the value of cosec A + cot A please give ans fast​

Answer»

ANSWER:

Given that A + B = 90° : - A = 90 - B.

Now, sec A =

15

7

→ sec(90 - B)

+ COSECB =

15

7

PRICING

|

15

7

[: sec(90 - 0) = cos cos] =

38.

(x+1);(x+2);(x+3) find the continued product​

Answer»

ANSWER:

(X+4)

Step-by-step explanation:

3+1=4

so (x+ 3+1) =( x+4)

39.

--316+5 5x+2ug 2x-2y3 +7 = -6x+2y=0, x-2yzox+2y x-2y​

Answer»

ANSWER:

iuvouzydzufx8ydoud86ry9

40.

Prove that equal chords of a circle subtend equal angle at the centre.​

Answer»

ANSWER:

rfvgtbyhnujmrq3werfg45vvgv5fgthhy

Step-by-step

Step-by-step EXPLANATION:

41.

1. The following frequency distribution table gives the ages of 200 patients treated in ahospital in a week. Find the mode of ages of the patients.Age ( years ) Less than 5 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29No. of Patients 38 32 50 36 24 20​

Answer»

REFER the ATTACHMENT above

42.

If A={1,2,3,4}, B={x : x is a whole number, 4 < x < 9 }, C= {x : x is a natural number, x < 9}. Find the following:. Single line text.(3 Points)​

Answer»

ANSWER:

igcitct8x8tx8tx8tx9td6966tx47,yer8xrz77/-7=-7=-7/'is d4a7a3a38ts9ts8st9dt9td9ydc9yd7sti596e95si5sud7sti596e95ud7sti596e95si5su4s95gs8ys8tx8tt5d8td8td8td8td85d85dz9txitz9t9tzits955s85s95ssi5su4s95z9txitz 5e656.58.48.ku can KR ⅞88dt8td7rzr78rx

43.

6x^2+17x+3 facter with spelling middle term and factor therom​

Answer»

HII brooo

How are you??

44.

Simplify the following expansion (√3+√2)²​

Answer»

\huge\underline\mathbb\purple{QUESTION}

Simplify the following expression

  • (√3+√2)²

\huge \underline\mathbb\pink{ANSWER}

✯ This expression can be easily SOLVED by the SUITABLE algebraic IDENTITY

\boxed{(a+b)² = a²+2ab+b²}

⠀⠀⠀⠀⠀⠀⠀⠀⠀

So, simplifying it we GET, -

( \sqrt{3}  +  \sqrt{2} ) {}^{2}  \\  \implies( \sqrt{3} ) {}^{2}  + 2( \sqrt{3}  \sqrt{2} ) + ( \sqrt{2}  ){}^{2}  \\ \implies 3 +  2\sqrt[]{6}  + 2 \\ \implies5 +  2\sqrt[]{6}

(3+2)² = 5+ 2√6

⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀✨HOPE IT HELPS✨

45.

If any rational number is multiplied by 1, then the product is_​

Answer»

ANSWER:

the PRODUCT is the NUMBER itself

46.

deck of well shuffled 52 cards a card is chosen at random. find the probability of getting a)a black face card and b)an ace of black suit​

Answer»

Answer:

probability = Number of favourable outcomes/ Total number of outcomes. HENCE, the probability that the card DRAWN is BLACK FACE card 3/26

Step-by-step EXPLANATION:

47.

Question 3*3 MarksAt an auction a company sells 150 television sets for anaverage of $65 each. The production cost was $10 000.How much loss did the company make?Mathematics

Answer»

Answer:

/5000 I HOPE this HELPS you to see and LEARN

48.

In D ABC, AC= 5, BC = 13, m angle a = 90degreetrigonometric ratios of angleB.

Answer»

ANSWER:

SORRY I don't know trigonometry because I am in STANDARD 8

Step-by-step explanation:

please like my answer

49.

Detect the error in the following question.The angle of elevation of the top of a lighthouse from a point 15 m away from it is 60.On walking 5 m towards it, the angle of elevation was found to be 30. Find the heightof the lighthouse.Suggest appropriate changes.

Answer»

Answer:

As we will MOVE towards it, the base length will decrease which will increase the angle and elevation; so INITIALLY angle of elevation cant be greater than that FORMED after moving.

Changes:

the angles 30 and 60 can be interchanged.

Hope it helps..

50.

The differentiability question

Answer»

ANSWER:

YES ✅ jjjgf GL hhjjjjjjjjjj