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 do you wonder about powers and exponents

Answer»

Answer:

We know how to calculate the expression 5 x 5. This expression can be written in a shorter way using something called exponents.

5⋅5=52

An expression that represents repeated multiplication of the same factor is called a power.

The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

figure10

31 3 to the FIRST power 3

42 4 to the second power or 4 squared 4 ∙ 4

53 5 to the third power or 5 cubed 5 ∙ 5 ∙ 5

26 2 to the power of six 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2

Example

Write these MULTIPLICATIONS like exponents

5⋅5⋅5=53

4⋅4⋅4⋅4⋅4=45

3⋅3⋅3⋅3=34

Multiplication

If two powers have the same base then we can MULTIPLY the powers. When we multiply two powers we add their exponents.

The rule:

xa⋅xb=xa+b

Example

42⋅45=(4⋅4)⋅(4⋅4⋅4⋅4⋅4)=47=42+5

Division

If two powers have the same base then we can divide the powers. When we divide powers we subtract their exponents.

The rule:

xaxb=xa−b

Example

4245=⧸4⋅⧸4⧸4⋅⧸4⋅4⋅4⋅4=143=4−3=42−5

A NEGATIVE exponent is the same as the reciprocal of the positive exponent.

x−a=1xa

Example

2−3=123

When you raise a PRODUCT to a power you raise each factor with a power

(x⋅y)a=xa⋅ya

Example

(2x)4=24⋅x4=16x4

The rule for the power of a power and the power of a product can be combined into the following rule:

(xa⋅yb)z=xa⋅z⋅yb⋅z

Example

(x3⋅y4)2=x3⋅2⋅y4⋅2=x6⋅y8

2.

Given 3 identical boxes I, II and III, each containing two coins. In box I both coins are gold, in box Il both are silver coins and in box III there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold.​

Answer»

So, we need to FIND the probability of GETTING box I

Number of boxes (T_{o}) = I, II, III (3)

Number of box w/ both coins of gold (F_{o}) = I (1)

P(2nd gold COIN) = F_{o} / T_{o} = 1/3 : Ans

Hope I HELPED

3.

A man had three sons and they were born at an interval of five years. The sum of their ages after five years will be sixty years. What was the age of the youngest son five years ago

Answer»

THUS eldest son's age five years ago was 10 years

But 3rd son was not born then

hence at that time youngest son was 2nd =His age at that time was x-5=10-5=5Years

HEY MATE YOUR ANSWER IS PROVIDED IN THE ATTACHMENT

4.

Calculate the following1/2 x 5/6 + 1/3 x 1/4pls give me the ans with steps and proper explanation pls

Answer»

Step-by-step EXPLANATION:

HOPE this will HELP you.............

5.

Fill in the blanks 3058g............kg...........g​

Answer»

Answer:

3KG 58gm

Step-by-step explanation:

1kg = 1000 GM

so,3058gm =3kg 58G

6.

Slove the 12345678910÷12345678910​

Answer»

ANSWER:

1 \: is \: answer

7.

Answer this question correctly right now show your step by step solutions and ill mark you brainliestill only mark those who have their step by step solutionsplease help asap pleaseeeee i need step by step solutionsss

Answer»

Hope it will help u...

thanks for ASKING....

Happy to help u.

and keep smiling always.....

things will be with u 4ever....

GOOD DAY AHEAD....TAKE CARE

8.

Simplify (1/4)⁴×(3/5)³

Answer»

ANSWER:

(\frac{1}{4} ) {}^{4}  \times ( \frac{3}{5} ) {}^{3}  \\  =  \frac{1}{256}  \times  \frac{27}{125}  \\  =  \frac{27}{32000}  \\  = 0.000844

HEY! MATE Here is your SOLUTION. THANKS

9.

Can two numbers have 15 as their HCF and 320 as their LCM?

Answer»

Answer:

sorry I have not understand your question

Step-by-step EXPLANATION:

can you again TELL the question PLEASE

10.

धारा के अनुकूल एक नाव 4 घंटे में 44 किमी. जाती है तथा धारा के प्रतिकूल वह 7/2 घंटे में 21 किमी जाती है| घर की गति क्या है?​

Answer»

\huge\underline\frak{\fbox{Question :-}}

धारा के अनुकूल एक नाव 4 घंटे में 44 किमी. जाती है तथा धारा के प्रतिकूल वह 7/2 घंटे में 21 किमी जाती है| घर की गति क्या है?

\huge\underline\frak{\fbox{AnSwEr :-}}

\longrightarrow 2.5 किमी/घंटा

Step-by-step EXPLANATION:

धारा के अनुकूल प्रति घंटा नाव की चाल

\longrightarrow 44/4

\longrightarrow 11 किमी/घंटा

धारा के प्रतिकुल नाव की चाल

\longrightarrow 21/7

\longrightarrow (21 x2 )/7

\longrightarrow 6 किमी/घंटा

धारा की गति

\longrightarrow (11 - 6)/2

\longrightarrow (5)/2

\longrightarrow 2.5 किमी/घंटा

11.

Find the smallest number by which 128 match be divided to obtain a perfect cube​

Answer»

ans is 2 .

Step-by-step EXPLANATION:

when 128 is DIVIDED by 2 it's BECOME 64 . it's a CUBE of 4

12.

What is the perimeter of that diagram

Answer»

ANSWER:

where is the DIAGRAM DUDE.

13.

Find the 7 rational numbers between -7/8 and 6/8​

Answer»

HEY mate hope it HELPS you......

7 rational NUMBERS between -7/8 and 6/8 are -6/8 , -5/8 , -4/8 , -3/8 , -2/8 , -1/8 , 1/8 .

14.

In 4-2=2-2is the additive inverse of 4 true or false​

Answer»

ANSWER:

false

Step-by-step EXPLANATION:

as 2=0 is not CORRECT

15.

If f (x) = 3x2 − x and f (m) = 4, then find mI will mark correct answer brainliest!

Answer»

hey MATE here is ur answer =

f(x)=3x^2-x

f(m)=3m^2-m

f(m)=4

3m^2-m=4

3m^2-m-4=0

m=1+-root(49)/6.....[Quadratic formula]

m=1+-7/6

m=8/6 or m=-6/6

m=4/3 or m=-1.

hope it HELPS.

16.

Find the smallest number by which the following numbers should be multiplied to get a perfect square. Also find the square root of the new number: (a). 147​

Answer»

ALSO MRK as BRAINLIEST .and also LIKES.

17.

Simplify. a-[b-{c-(a-b-c}-c]+a​

Answer»

GIVEN

a-(B-(c-(a-b-c)-c)+a

=a-(b-(c-a+b+c-c)+a

=a-(b-(b+c-a)+a

=a-(b-b-c+a)+a

=a+c-a+a

=a+c

This MAY HELP you

please MARK it as BRAINLIST answer

18.

Find each of the following product1) 7×32) -7×33)7×-3​

Answer»

hey MATE here is UR ANSWER =

1)7×3=21

2)-7×3=-21

3)7×-3=-21

hope it helps.

19.

What should be taken away from 3x²-4y²+5xy+20 to get -x²-y²+6xy+20​

Answer»

ANSWER:

It was SIMPLE

just have a TRY

20.

How 2sinx.cosx is equal to sin2x ​

Answer»

HALLO DEAR ,

Your ANSWER is ATTACHED below.

21.

Answer this i will mark as brainlist

Answer»

Answer:

OPTION C is TIGHT and answer sir please brainlist

22.

What is the Volume of the shape given below

Answer»

VOLUME of CYLINDER

\pi \times r {}^{2}  \times h

\frac{22}{7}  \times  {2}^{2}  \times 5

\frac{440}{7}

62 \frac{6}{7}

62.857142cm {}^{3}

HOPE it HELPS you.........

23.

The general solution of the nonhomogeneous equation y''-6y'-7=8e(-t)-7t-6 is

Answer»

CORRECT QUESTION: Solve the following differential equation

\quad D^{2}y-6Dy-7y=8e^{-x}-7x-6

SOLUTION:

The given differential equation is

\quad D^{2}y-6Dy-7y=8e^{-x}-7x-6

To find C. F.

The AUXILIARY equation is

\quad m^{2}-6m-7=0

\Rightarrow (m+1)(m-7)=0

\Rightarrow m=-1,\:7

C. F. is therefore, C_{1}e^{-x}+C_{2}e^{7x}.

To find P. I.

Let, y_{p}=Axe^{-x}+Bx+C

Then, Dy_{p}=-Axe^{-x}+Ae^{-x}+B

and D^{2}y_{p}=Axe^{-x}-2Ae^{-x}

Since y_{p} is a root of the given differential equation,

\quad D^{2}y_{p}-6Dy_{p}-7y_{p}=8e^{-x}-7x-6

\Rightarrow Axe^{-x}-2Ae^{-x}+6Axe^{-x}-6Ae^{-x}-6B-7Axe^{-x}-7Bx-7C=8e^{-x}-7x-6

\Rightarrow -8Ae^{-x}-7Bx-6B-7c=8e^{-x}-7x-6

Equating like terms in both sides, we GET

\quad\quad -8A=8

\quad\quad -7B=-7

\quad\quad -6B-7C=-6

\implies

\quad\quad A=-1,\:B=1,\:C=0

\therefore y_{p}=-xe^{-x}+x

\therefore complete solution is

\quad y=C_{1}e^{-x}+C_{2}e^{7x}-xe^{-x}+x

24.

solve both the above questions I will mark you as BRAINLIEST... please answer with full explanation...​

Answer»

Step-by-step EXPLANATION:

i HOPE it helps u mark my ANSWER as brainliest

25.

FIND THE SET A,B,C IF A∩C={5,7}, A∩B={5,6} A∪B={4,5,6,7} A∪C={5,6,7,8}

Answer»

WEEDS and GRASS and weeds and I have to GO with it and I will SEND it out here is

26.

दिपक एक काम शुरू करता वह 12दिनो केलिए काम करता है और पाता है कि उसने 10%| कम काम पूरा कर लिया है जिसे उसे24दिनों मे काम पूरा करने के लिए खत्म करनाथा इसलिए वह रहमान से उसे समय परकाम करने के लिए कहता है यदी रहमानआधे दिन काम करते है तो केवल शेष दिन रहमान कि दक्षता पता लगाए कि दिपक किदक्षता की तुलना मे च्या प्रतिशत कम है?​

Answer»

Step-by-step EXPLANATION:

ओळखा पाहू हूशार कोण पाहिली दोन अक्षरं घेतली तर खाण्याचा पदार्थ

दुसर आणि तिसर अक्षर घेतले तर झाडाचे नाव

तिसर आणि चौथ अक्षर घेतले तर चिञपटाचे नाव

चारही अक्षर घेतले तर सौदर्य प्रसाधन

27.

एक नाव धारा की दिशा में 24 किमी. दूरी 4 घंटे में तथा धारा के विपरीत इतनी ही दूरी 6 घंटे में तय करती है। शांत जल में नाव की चाल कितनी है ?​

Answer»

\huge\underline\frak{\fbox{Question :-}}

एक नाव धारा की दिशा में 24 किमी. दूरी 4 घंटे में तथा धारा के विपरीत इतनी ही दूरी 6 घंटे में तय करती है। शांत जल में नाव की चाल कितनी है ?

\huge\underline\frak{\fbox{AnSwEr :-}}

\longrightarrow 5 किमी/घंटा

Step-by-step explanation:

नाव धारा की दिशा में यानी

\longrightarrow X + y

\longrightarrow 24/4

\longrightarrow= 6 किमी/घंटा (चाल = दूरी / समय) -------> (1)

नाव धारा के विपरीत यानी

\longrightarrow x - y

\longrightarrow 24/6

\longrightarrow 4 किमी/घंटा --------> (2)

शांत जल में नाव की चाल = दोनों समीकरण को हल करने पर

\longrightarrow x = 5 किमी/घंटा

28.

7The product of two integers is (-112).If one of them is (-8), find the other.​

Answer»

ANSWER:

x=14

Step-by-step EXPLANATION:

-8×x=-112

x=-112÷-8

x=14

29.

Find 5 rational numbers between-3and-2​

Answer»

ANSWER=(x-y) -1

-2-(-3)-1

0

30.

Could you say answers for this​

Answer»

Answer:

I HOPE it will be HELPFUL to you.

It is the answer for 24q.

Step-by-step EXPLANATION:

PLEASE MARK ME AS BRILLIANIST

31.

if the sizes of the angles of a triangle are 3x,4x and 5x. find the smallest angle of the triangle. please solve with solution..

Answer»

Answer:

sum of ANGLES is180

then according to question

3X+4x+5x=180

then 12x=180 X=15

then the SMALLEST ANGLE is 3x the angle is45

32.

Check whether the following are quadratic equations:1) (x-2) ^2+5=3x-72)(x+3)^3+7=(x-2)^3+8x-2​

Answer»

Answer:

1) (x-2) ^2+5=3x-7 is QUADRATIC, SINCE its DEGREE= 2.

2) (x+3)^3+7=(x-2)^3+8x-2 is not quadratic, since its degree= 3.

33.

Find each of the following product1) 7×3​

Answer»

ANSWER:

PRODUCT of THIS QUESTION is21

MARK ME AS A BRAINLIST

34.

Find the area of quadrilateral BC = 26cm CD = 26cm AD = 24cm BD = 26cm. calculate AB​

Answer»

Step-by-step EXPLANATION:

i DONT know the ANSWER of the QUESTION if u give me the formula i will definitely

solve it

35.

Write the numeral in the descending and ascending order of numeral 31093 , 31309,39031, 9391,31029​

Answer»

ANSWER:

ASCENDING order-93911,31309,31029,31093,39031.

36.

Answer this question...​

Answer»

ANSWER:

HOPE this helps you

plz mark as brainliest

37.

Find the median of following distrbution marks=2,5,6,8,10 no of students 3,2,5,4,2​

Answer»

ANSWER:

ARRANGE the following data in ascending order

2,2,2,3,4,5,5,6,8,10

now take FIRST four with ONE side one the last four on other side

(2,2,2,3)+4+5/2(5,6,8,10)ADD the numbers which are not in brackets and divide with 2

4+5/2=9/2=4.5

hence the median is 9/2 or 4.5

38.

Divide 18923 by 15 and check​

Answer»

Answer:

1261.53333333

You can SEARCH for any mathematical expression, using functions such as: sin, cos, sqrt, ETC. You can FIND a COMPLETE list of functions.

39.

1. Find the area of the trapezium whose parallel sides are 22 cm and 31 cm respectively, and the distance between them is 12 cm.2. The area of a trapezium is 320 sq.cm and distance between the parallel sides is 20 cm.if one of the parallel sides is 16 cm,find the length of another parallel side.3. Find the area of a rhombus if:a) Each side is 16 m and height is 9 mb) Each diagonals are 20 cm and 18 cm.4. The area of a rhombus is 256 sq.cm and one of the diagonals is 32 cm.find the length of other diagonal.5. The area of a triangle with a base of 8 cm is 24 sq.cm.find its altitude from this base.6. Find the lateral surface area,total surface area and volume of a cube of:a) Side=70cm b)side=25cm​

Answer»

1.

Given:

PARALLEL sides are 22 cm and 31 cm respectively, and the distance between them is 12 cm.

To find:

Area of trapezium ?

Solution:

FORMULA for area of trapezium

A =\dfrac{1}{2}\times \text{Sum of parallel sides}\times \text{Distance between parallel sides}

\Rightarrow A = \dfrac{1}{2}\times (22+31)\times 12 = 318\ sq\ cm

2.

Given:

The area of a trapezium is 320 sq.cm and distance between the parallel sides is 20 cm.one of the parallel sides is 16 cm

To find:

length of another parallel side?

Solution:

Let the other parallel side = X cm

Formula for area of trapezium

A =\dfrac{1}{2}\times \text{Sum of parallel sides}\times \text{Distance between parallel sides}

320=\dfrac{1}{2}\times (16+x)\times 20\\\Rightarrow x = 16\ cm

3. a)

Given:

Rhombus with Each side is 16 m and height is 9 m

To find:

Area of rhombus ?

Solution:

Formula for area of rhombus:

A = Base \times Height

\Rightarrow A =16\times 9 =144\ sq\ m

b)

Given:

Rhombus with Each diagonals are 20 cm and 18 cm.

To find:

Area of rhombus ?

Solution:

Formula for area of rhombus:

A = \dfrac{1}{2}\times d_1\times d_2\\\Rightarrow A = \dfrac{1}{2}\times 20 \times 18 = 180\ sq\ cm

4.

Given:

Area of rhombus = 256 sq cm

One diagonal 32 cm

To find:

Length of other diagonal ?

Solution:

Formula for area of rhombus:

A = \dfrac{1}{2}\times d_1\times d_2\\\Rightarrow 256 = \dfrac{1}{2}\times 32 \times d_2\\\Rightarrow d_2 = 16\ cm

5.

Given:

The area of a triangle with a base of 8 cm is 24 sq.cm.

To find:

Altitude of triangle ?

Solution:

Formula for area of triangle:

A = \dfrac{1}{2}\times Base\times Altitude\\\Rightarrow 24 = \dfrac{1}{2}\times 8\times Altitude\\\Rightarrow Altitude = 6\ cm

6.

a)

Given:

Side of cube = 70 cm

To find:

Volume, lateral SURFACE area, total surface area of cube?

Solution:

Volume = Side^3 = 70^3 = 343000\ cm^3

Lateral surface area = 4\times side^2 = 4\times 70^2 = 19600\ cm^2

Total surface area = 6\times side^2 = 6\times 70^2 = 29400\ cm^2

b)

Given:

Side of cube = 25 cm

To find:

Volume, lateral surface area, total surface area of cube?

Solution:

Volume = Side^3 = 25^3 = 15625\ cm^3

Lateral surface area = 4\times side^2 = 4\times 25^2 = 2500\ cm^2

Total surface area = 6\times side^2 = 6\times 25^2 = 3750\ cm^2

40.

The area of the sector shaped canvas cloth is 264 m² with this canvas cloth, if a right circular conical tent is erected with the radius of the base as 7 cm then find the height of the tent.​

Answer»

Answer:

1199.99 m

Step-by-step EXPLANATION:

Given :

Area of the sector shaped canvas cloth = 264 m²

It is also equal to curved SURFACE area of cone :

= > π r L = 264 m²

We have radius r = 7 cm = 0.07 m

= >  0.07 × 22 / 7 × l = 264

= > 0.01 × 22 × l = 264

= > l = 264 / 0.22 m

= > l = 1200 m

We have relation between h , r and l :

= > l² = h² + r²

= > h² = l² - r²

= > h² = 1200² - 0.07² m

= > h² = ( 1200 + 0.07 ) ( 1200 - 0.07 ) m

= > h² = ( 1200.07 ) ( 1199.93 ) m

= > h = √ ( 1200.07 ) ( 1199.93 ) m

= > h = 1199.99 m

Hence we get required answer.

When the radius in unit of meter i.e. 7 m : then let's find height h :

π r l = 264 m²

We have r = 7 m

= > 22 / 7 × 7 × l = 264

= > l = 264 / 22 m

= > l = 12 m

We know :

l² = h² + r²

= > h² = l² - r²

= > h² = 12² - 7²

= > h² = ( 12 + 7 ) ( 12 - 7 )

= > h = √ ( 19 × 5 ) m

= > h = √ 95 m.

41.

Who is the founder of mathematics ???​

Answer»

ANSWER:

  • The FOUNDER of MATHEMATICS is considered to be Pythagoras who gave the triangular concept or THEOREM. In the ancient 6th CENTURY B.C, the Greeks started the subject of mathematics only by the Pythagoras concepts. Later, Archimedes, a Greek mathematician, developed it and so became the FATHER OF MATHEMATICS.
42.

Calculate the following, 8th grd, rational no:1/2 x 5/6 + 1/3 x 1/4pls give me the right ans.

Answer»

Answer:

1/2

Step-by-step EXPLANATION:

5/12+1/12

=. 6/12

=. 1/2

43.

3. The thickness of two wires are 6* 10 m and 1.5 x 10-7 m. Find the ratio of the thicknesswires.​

Answer»

Step-by-step EXPLANATION:

thickness=60m

6:8

mark me BRAINLIEST and FOLLOW me

44.

Cube of (-⅓)is equal to​

Answer»

ANSWER:

CUBE of (-⅓) is (-1/27)

HOPE it HELPS

45.

Ifm=12 and n=(-4), check if m÷n=n÷m​

Answer»

ANSWER:

m÷n= 12÷( - 4)= -3

n÷m= -4/12= -1/3

m÷n is not EQUAL to n÷m

46.

Determine whether the product is positive or negative of -25×-16​

Answer»

Answer:

-25 * - 16 = 400

[ - * - = + ]

so, the PRODUCT of -25 and -16 is in POSITIVE .

hope it helps you

47.

find the area of a quarter little baby she's request BD = 26cm CD = 26cm AD = 24 cm BD = 26 cm calculate AB​

Answer»

ANSWER:

answer is AB=10, by USING the PYTHAGORAS THEOREM.

48.

Write the remainder when (-139) is divided by 139?​

Answer»

ANSWER:

answer of this QUESTION is very SIMPLE = -1

49.

X^2+4x-(-8x+x^2+1)=-2x^2+6+2x

Answer»

Answer:

HOPE this ans will help you.

Step-by-step explanation:

So now... plz...

mark me as BRAINLIST...(plz... it's very IMPORTANT)

50.

30' means ......... ....... ​

Answer»

Answer:

30 MINUTE = 1/2 DEGREE....