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.

Prove set of postive rational numbers are group or not under addition

Answer»

Let Q+ denote the set of all positive RATIONAL numbers.WE define an operation * on Q+as:

a*b=(ab)/2 V a,bϵQ+

To show that  (Q+,*) is a group.

CLosure Property:Since for every a,b ϵQ+,(ab)/2 is also in Q+therefore Q+ is closed with respet to operation *.

Assosiative PRoperty:Let a,b,c ϵ Q+.Then 

(a*b)*c=(ab/2)*c=[(ab)/2]c/2=a([(bc/2)]/2=a*(bc/2)=a*(b*c)

Commutativity:Let a,bϵQ+.Then a*b=(ab)/2=(ba)/2=b*a

Existense of IDENTITY:The number e will be identy element

if eϵQ+ and if e*a=a=a*e VaϵQ+

Now e*a=a

which implies (ea)/2 =a

a/2(e-2)=0

e=2 since aϵQ+ a is not equal to 0

now 2ϵQ+ and we have 2*a=(2a)/2=a=a*2 V a ϵQ+ 

Therefore 2 is the identity element.

Existense of inverse:Let a be any element of Q+If the number b is to be the inverse of a ,then we MUST have

b*a=e=2

(ba)/2=2

b=4/a

now aϵQ+

we have (4/a)*a {(4/a)a}/2=2=a*4/a      

therefore THUS each element of Q+is inversible.

Hence(Q+,*) is an ableain group.

 

2.

One number is 7 more than other and its square is 77 more than square of smallest number

Answer»

ANSWER:

smallest no is 2

Step-by-step explanation:

LET one number be x

other no =x+7

(x+7)² -77 =x²

x²+49+14x-77=x²

x²-28+14x=x²

x²-x²+14x = 28

14x= 28

x= 2

other no = x+7 =2+7 =9

the numbers are 2 and 9

I hope this would help you mate

Thanks for asking and keep asking more......

DON'T FORGET TO THANK ME, RATE ME AND FOLLOW ME....

AND MARK AS BRAINLIESTS ANSWER...

3.

One number can multiply with 5 and add 8 again subtraction with 20

Answer»

So

A/statement

= 5 x  + 8 - 20 = 5 x - 12.


Thank u.

4.

Using prime factorization method find the HCF of the following number 72 and 144

Answer»

ANSWER:

what can I HELP you PLEASE TELL me

5.

A four metre elastic and is increased by 10 % . Fnd itsvnew length

Answer»

The NEW LENGTH is 4.4m

6.

7,9,8,4,3,3,6,4,2,8 addition of all numbers?

Answer» HELLO :)

⬇⬇ANSWER ⬇⬇

7+9+8+4+3+3+6+4+2+8=54


✌✌
7.

How to convert ratio into percentage 3:5:2

Answer»

RATIO = 3 + 5 +2

Ratio = 10

i.e. 10 = 100%

∴1 = 10%

So,

3 = 3 × 10 = 30%

5 = 5 × 10 = 50%

2 = 2 × 10 = 20%

Hope it HELPS you.

8.

two athletes start running from a certain place in the same direction at 5.6km/h and 5.8km/h respectively. what will be the distance between them after 3 hours?

Answer»

The DISTANCE between them after 3 HOURS is o.6km

9.

Please please solve this problem

Answer»

1. if the side of square carpet is 12 m , then area of carpet will be 144 m(12x12), the area of room : 17M x 10m =170M .... therefore area LEFT after LYING the carpet :- 170 m -144m =26m

the uncovered area:- 26 m

10.

The area of two semicircles are in the ratio 49;25 find theircircumference

Answer»

2pier

14pie and 25pie

11.

which of the following are the angles of a right angle triangle first 35° 65° 95 degree second 90 degree 5 degree 65 degree 3rd 40 degree 60 degree 90 degree 4th 55 degree 35 degree 90 degree

Answer»

HEY mate ans is 4th 55degreee35degreeee90degreee because it has 90 as right angle and sum of these three angles is 180 which is the sum of three angles of triangle so CONDITION no. 4th is the right angle triangle

HOPE THIS MAY HELP U

PLZ MARK IT AS BRAINLIEST✌✌


12.

The difference of two natural numbers is 3 and the difference of their reciprocals is 3 / 28. Find the numbers.

Answer» HOPE it HELPS you DEAR
13.

Which of the following are the angle of a right angle triangle

Answer» PLS EXPLAIN UR QUESTION CORRECTLY.....
14.

a train passes a railway bridge 110 m long in 15 second. if the train is running at the speed of 60 km/hr find the length of the train in metres.

Answer»

This is your SOLUTION if any QUESTIONS ASK FREQUENTLY

15.

What is 1+1+1+1+1+1+1+1+1=

Answer»

Hlo mate .......

The rht ANSWER is 9 .....

HOPE it HELPS

16.

In a row of children Nidhi is twelfth from left end and Radha is sixth from right end. When Radha is shifted to left by two places and Nidhi is shifted to right by two places there six children between Radha and Nidhi. How many children are there in the row?

Answer» HEY..
Here's ur answer
There are 14 students in the ROW.
17.

the cost of 30 mangoes is less than the cost of 40 mangoes by rupees 50 find the cost of 15 mangoes in rupees

Answer» COST of 10 mangoes =rs. 50
cost of 5 mangoes =rs. 25
THEREFORE cost of 15 mangoes =rs 75
18.

Find a perfect square number which is divisible by 3,4,6,8,10,11

Answer»

there is no such NUMBER which is divisibe by these RESPECTIVE NUMBERS


19.

What is 3+6+87+64+32

Answer» HEY MATE here is your ANSWER
192 is the answer
20.

Factorize... (3a-1)^2-6a+2 15nth one on book

Answer»

This is corectttttttttttttttttttttttttt

21.

24 carat gold is 100% pure gold then what percentage of pure gold is in 22 carat gold

Answer»

SOLUTION:

24  carat = 100%

1 carat = 100/24 %

∴ 22 carat = 100/24 * 22 = 91.67 %

Thus, 22 carat GOLD CONTAINS 91.67% gold.

___________________

Amrit_______

22.

PLZ ANSWER TO MY QUESTION PLZ PLZ PLZ PLZ

Answer»

What is your QUESTION??

23.

Partial differential equations: 5.1.Numerical solution of partial differential equations using bender-schmidt explicit method, implicit method (crank- nicolson method). 5.2.Partial differential equations governing transverse vibrations of an elastic string its solution using fourier series. 5.3.Heat equation, steady-state configuration for heat flow 5.4.Two and three dimensional laplace equations

Answer»

Bdh z HS bjsn shxbjz JS sj u suspect JZ uz j

24.

In how many ways can six members be selected from a group of ten members?

Answer»

If ONE PERSON is ALWAYS fixed, we have to select 5 more people from remaining 9.


5 people can be SELECTED out of 9 in C(9,5) ways.


= 9!/(4! 5!) = 9 x 8 x 7 x 6/(4 x 3 x 2 x 1)


= 126 ways

25.

In a single throw of a pair of dice find the probability of getting the sum is 9

Answer»

6/36 = 1/6 is the PROBABILITY

26.

81(9)1832(0)4123(?)32

Answer» 5 or 0
thankssssssssssssssssssss
27.

If the price of a pen is Rs x.what is the price of 20 such pens ?

Answer» 20X is the ANSWER of UR QUESTION
28.

Please solve this..Asap

Answer» 20 DAYS is the ANSWER
29.

Construct a triangle ABC in which BC=8cm,angle B=45° and AB-AC=3.5cmPlz answer it fast!!

Answer» STEP 1: Draw a line segment BC of 3.5cm.

Step 2: At B, draw an ANGLE XBC of 45o

Step 3: With center B and radius 1.5cm, draw an arc which intersects BX at D.

Step 4: JOIN DC

Step 5: Draw the perpendicular BISECTOR of DC which intersects BD produced at A.

Step 6: Join AC

Therefore Δ ABC is the required triangle

30.

⇔⇔⇔→Only for special ranked← ⇔⇔⇔If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, what is the average of x, y, and z in terms of m?↓→Content quality required← This one is for 100 points , i need a very good answers↑Thanks :)

Answer»

Here is your required ANSWER

By Adeeb Khan



3/2 (m+7)

SEE the steps I ATTACHMENT

31.

Ab+bc prove that ac =ab

Answer»

If this is equiletral triangle there all sides are EQUAL ab = BC = AC so ab = ac, if it's not a equiletral triangle so question was INCOMPLETE.

PLEASE make me brainlist

32.

Write the table of 5000

Answer» 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000
33.

Write the greatest 3 digit number and Express it in terms of its prime factors

Answer»

❤️HEY MATE ❤️

⬇️ANSWER ⬇️

The GREATEST 3 DIGIT number is 999.

999 = 3 X 3 X 3 X 37

___________⚡I HOPE IT HELPS YOU ⚡___________

34.

⇔⇔⇔→Only for special ranked← ⇔⇔⇔If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, what is the average of x, y, and z in terms of m?↓→Content quality required←↑Thanks :)

Answer»

____________________________________

\large\mathsf\red{Q \ - \ What \ is \ Mean \ ?}

\mathsf\blue{Mean \ is \ the \ total \ of \ all \ values \ divided}
\mathsf\blue{by \ the \ number \ of \ values.}

____________________________________

\large\mathsf\green{Given \ -}

\mathsf{x \ is \ mean \ of \ m \ and \ 9.}

•°•

\mathsf{x \ = \ (m + 9) / 2}

\mathsf{Also,}

\mathsf{y \ is \ the \ mean \ of \ 2m \ and \ 15.}

•°•

\mathsf{y \ = \ (2m + 15)/2}

\mathsf{Also,}

\mathsf{z \ is \ the \ mean \ of \ 3m \ and \ 18.}

•°•

\mathsf{z \ = \ (3m + 18)/2}

\mathsf{Now,}

\mathsf{x + y + z \ -}

\mathsf{= \ (m + 9) / 2 + (2m + 15)/2 + (2m + 15)/2}

\mathsf{= \ (6m + 42)/2}

\mathsf{= \ 3m + 21}

\mathsf{Average \ of \ x, \ y \ and \ z}

\mathsf{= \ (3m + 21)/3}

\large\mathsf\green{= \ m + 7}

____________________________________

35.

find the mode for the following data: class 0-20, 20-40, 40-60, 60-80, 80-100, frequency: 25, 16 ,28, 20, 5.

Answer»

As 25,28,20 is the most REPEATED CLASS in the FOLLOWING. so the MODE is 20-40

36.

Write the table of 22

Answer»

22 44 66 88 110 132 154 176 198 220

37.

Show the question in a paper step by step

Answer»

###
HOPE it HELPS...

38.

Name one each of the commonly used conductor and non conductor of heat

Answer»

METAL a GOOD conductor

plastic a NON conductor.

please MARK me as BRAINLIEST

39.

In a right triangle the hypotenuse is 64 cm the other two legs are equalfind the length of each leg

Answer»

From the PYTHAGORAS
(AC)^2 =(AB)^2+(bc)^2
64×64=4096
4096/2= 2048
√2048 = 45.26

40.

By how many degrees does the minute hand move in the same time, in which the hour hand move by 18 degree ?

Answer»

60 minute (in clock) = 360°

1 minute = 6°

Hour HAND has to moove 5 (times) minutes MOVE and for it's 1 minute moove means it mooves 6° and at the same time minutes hand has to move 360/5= 72°

Here, hour hand mooves 18° means it mooves 18/6 = 3 minutes moove and at the Same time minutes hand has to moove 3x72=216°



or its each one minute moove.

41.

Rama had Rs.120 with her .she bought a notebook for Rs.x how much money is left with her ?

Answer»

❤️HEY MATE ❤️

✨GIVEN:✨

RAMU HAD RS. 120

BOUGHT A NOTEBOOK FOR RS. X

✨TO FIND:✨

HOW MUCH MONEY LEFT

✨SOLUTION :✨

MONEY LEFT=120-X

___________⚡I HOPE IT HELPS YOU⚡ __________

42.

1+cot^2 theta x1-costhetax1+cos theta = 1 prove.

Answer» HOPE this HELP UUUU..
43.

Plss answer fast its urgent

Answer»

Which ONE PLS TELL...!!!!!


44.

Construct a triangle AOB given that OA=5cm,OB=4 5cm and angleAOB=50degree.

Answer» GIVE me a PENCIL and A PAPER
45.

Write an algebraic expression for twice the square of a added to three times b

Answer»

It WOULD be 2a^2 + 3B.

46.

Can someone please please help me

Answer» HEYA MATE..!

ANSWER..!

(B) a+b / 2

Thanks..!
47.

. Sameer bought a shirt at a discount of 35% if he paid rupees 1090 find the Marked price

Answer» 1090 35% = 1090/100 × 35 = 381.5

= 1090 - 381.5 = 708.5

the market PRICE is 708.5

please GIVE me Brainiest

HOPE ITS HELPFUL
48.

3 upon 5 m square in bracket M + 5n

Answer» ANSWER is 3 + 3N UPON m
49.

Write the table of 15

Answer»

15 30 45 60 75 90 105 120 135 150

50.

Write the table of 14

Answer»

Hey BUDDY!!

14 × 1 = 14

14 × 2 = 28

14 × 3 = 42

14 × 4 = 56

14 × 5 = 70

14 × 6 = 84

14 × 7 = 98

14 × 8 = 112

14 × 9 = 126

14 × 10 = 140

Hope it helps!!